COOLANT CONTAINING FLUORINATED HYDROCARBON AND CARBON DIOXIDE, USE OF SAME, REFRIGERATING MACHINE COMPRISING SAME AND METHOD FOR OPERATING SAID REFRIGERATING MACHINE

Information

  • Patent Application
  • 20220073802
  • Publication Number
    20220073802
  • Date Filed
    October 22, 2021
    3 years ago
  • Date Published
    March 10, 2022
    2 years ago
Abstract
An object is to provide a mixed refrigerant that has desired properties as an alternative refrigerant for R410A. As a solution to achieve the object, a composition containing a refrigerant that contains difluoromethane (R32), carbon dioxide (CO2), pentafluoroethane (R125), 1,1,1,2-tetrafluoroethane (R134a), and 2,3,3,3-tetrafluoropropene (R1234yf) in a specific mixture ratio is provided.
Description
TECHNICAL FIELD

The present disclosure relates to a refrigerant containing a fluorinated hydrocarbon and carbon dioxide, use of the refrigerant, a refrigerating machine containing the refrigerant, and a method for operating the refrigerating machine.


BACKGROUND ART

Fluorocarbon-based fluids are widely used industrially for cooling, air conditioning, and heat pumps.


PTL 1 discloses the use of a heat transfer composition containing difluoromethane (R32), 1,1,1,3-tetrafluoropropene (R1234ze), and a compound selected from the group consisting of n-butane, isobutane, and combinations thereof in a specific mixture ratio as an alternative for R410A and/or R32.


PTL 2 discloses the use of a working fluid for heat cycle containing trifluoroethylene (HFO-1123), 2,3,3,3-tetrafluoropropene (R1234yf), and difluoromethane (R32) in a specific mixture ratio as an alternative for R410A.


PTL 3 discloses the use of a composition containing R1234yf, R32, pentafluoroethane (R125), and 1,1,1,2-tetrafluoroethane (R134a) in a specific mixture ratio as a refrigerant with a lower GWP that replaces R22, R134a, R404A, R407C, and/or R410A.


PTL 4 discloses the use of a heat transfer composition containing R32, R125, R134a, and R1234yf in a specific mixture ratio as an alternative refrigerant for R134a, R410A, or R404A.


CITATION LIST
Patent Literature



  • PTL 1: WO2014/085973A

  • PTL 2: JP2016-028119A

  • PTL 3: WO2010/059677A

  • PTL 4: WO2011/163117A



SUMMARY

A composition comprising a refrigerant,

    • the refrigerant comprising difluoromethane (R32), carbon dioxide (CO2), pentafluoroethane (R125), 1,1,1,2-tetrafluoroethane (R134a), and 2,3,3,3-tetrafluoropropene (R1234yf), wherein
    • when the mass % of R32 is a, the mass % of CO2 is b, the mass % of 8125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,
    • in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,
    • 1-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.25 to 0.5 ((−2.2857x+87.314)r2+(1.7143x−55.886)r+(−0.9643x+55.336), (2.2857x−112.91)r2+(−1.7143x+104.69)r+(−0.25x+11.05), 100-a-b-x), point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), and point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or
    • 1-1-2) when 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.5 to 1.0 ((−0.2857x+8.5143)r2+(0.5x−10.9)r+(−0.8571x+52.543), (−0.2857x+4.5143)r2+(0.5x+0.9)r+(−0.7143x+33.586), 100-a-b-x),


      point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x), and


      point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or on the line segments, or
    • 1-2-1) when 46.5≥x≥43.8, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.5 to 0.5 ((1.1852x−64.711)r2+(−0.7407x+51.644)r+(−0.5556x+37.433), (−2.3704x+91.022)r2+(2.0741x−61.244)r+(−0.963x+42.278), 100-a-b-x),


      point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), and point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment at Dr=0.25 to 0.5 to Q and line segment QA, or
    • 1-2-2) when 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.5 to 1.5 ((0.2963x−16.978)r2+(−0.3704x+27.222)r+(−0.5185x+37.711), −8.0r2+22.8r+(−0.5185x+25.011), 100-a-b-x),


      point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), and


      point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment. Dr=0.5 to 1.0 to Q and line segment QA,
    • 1-3-1) when 50≥x≥46.5, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.25 to 0.5 (−9.6r2+17.2r+(−0.6571x+42.157), −19.2r2+(0.2286x+24.571)r+(−0.6286x+26.729), 100-a-b-x),


      point Dx=0.25 to 0.5 (0.0, (0.9143x−71.314)r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x), and


      point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or
    • 1-3-2) when 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.5 to 1.0 ((−0.2286 x+7.4286)r2+(0.4x−8.6)r+(−0.8x+50.8) (0.2286x−18.629)r2+(−0.2857x+36.086)r+(−0.4286x+20.829), 100-a-b-x),


      point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x), and


      point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA.


Advantageous Effects

The refrigerant according to the present disclosure has the following properties, which are typically required in alternative refrigerants for R410A: (1) a GWP of 750 or less, (2) WCF non-flammability or ASHRAE non-flammability, and (3) a COP and a refrigerating capacity equivalent to those of R410A.





BRIEF DESCRIPTION OF DRAWINGS


FIG. 1 is a diagram that shows a device used in a flammability test.



FIG. 2 is a schematic view that shows examples of countercurrent heat exchangers.



FIG. 3 is a schematic view that shows examples of countercurrent heat exchangers. FIG. 3(a) is a plan view, and FIG. 3(b) is a perspective view.



FIG. 4 is a schematic view that shows an embodiment of refrigerant circuits in the refrigerating machine according to the present disclosure.



FIG. 5 is a schematic view that shows an example of modified versions of the refrigerant circuit of FIG. 4.



FIG. 6 is a schematic view that shows an example of modified versions of the refrigerant circuit of FIG. 5.



FIG. 7 is a schematic view that shows an example of modified versions of the refrigerant circuit of FIG. 5.



FIG. 8 is a schematic view that explains off-cycle defrost.



FIG. 9 is a schematic view that explains heating defrost.



FIG. 10 is a schematic view that explains reverse-cycle hot-gas defrost.



FIG. 11 is a schematic view that explains no mal-cycle hot-gas defrost.



FIG. 12 shows a straight line Cr=0.25 to Dr=0.25 that shows GWP is 750, the WCF non-flammability limit points shown in Tables 2 to 5, a straight line ABr=0.25, which connects point A and point Br=0.25, the ASHRAE non-flammability limit points shown in Tables 6 to 9, and a straight line Fr=0.25 to Pr=0.25, which connects point Fr=0.25 and point Pr=0.25, when r=0.25 in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices.



FIG. 13 shows a straight line Cr=0.375 to Dr=0.375 that shows GWP is 750, a straight line ABr=0.375 that shows the WCF non-flammability limit line shown in Table 10, and a straight line Fr=0.375 to Pr=0.375 that shows the ASHRAE non-flammability limit line shown in Table 14, when r=0.375, in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices.



FIG. 14 shows a straight line Cr=0.5 to Dr=0.5 that shows GWP is 750, a straight line ABr=0.5 that shows the WCF non-flammability limit shown in Table 10, a straight line Fr=0.5 to Pr=0.5 that shows the ASHRAE non-flammability limit shown in Table 14, when r=0.5, in a ternary composition diagram having R32 at a point of (100-x) massa, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices.



FIG. 15 shows a straight line Cr=0.75 to Dr=0.75 that shows GWP is 750, a straight line ABr=3.75 that shows the WCF non-flammability limit shown in Table 10, and a straight line Fr=0.75 to Pr=0.75 that shows the ASHRAE non-flammability limit shown in Table 14, when r=0.75, in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices.



FIG. 16 shows a straight line Cr=1.0 to Dr=1.0 that shows GWP is 750, a straight line ABr=1.0 that shows the WCF non-flammability limit shown in Table 10, and a straight line Fr=1.0 to Pr=1.0 that shows the ASHRAE non-flammability limit shown in Table 14, when r=1.0, in a ternary composition diagram having R32 at a point of (100-x) massa, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices.



FIG. 17 is a ternary diagram that summarizes FIGS. 12 to 16 and that shows points A, Or=0.25 to 1, Dr=0.25 to 1, Cr=0.25 to 1, Fr=0.25 to 1, Pr=0.25 to 1, and Q when the concentration of R1234yf is 41 mass %.



FIG. 18 is a ternary diagram that shows points A, Or=0.25 to 1, Dr=0.25 to 1, Cr=0.25 to 1, Fr=0.25 to 1, Pr=0.25 to 1, and Q when the concentration of R1234yf is 43.8 mass %.



FIG. 19 is a ternary diagram that shows points A, Or=0.25 to 1, Dr=0.25 to 1, Cr=0.25 to 1, Fr=0.25 to 1, Pr=0.25 to 1, and Q, when the concentration of R1234yf is 46.5 mass %.



FIG. 20 is a ternary diagram that shows points A, Or=0.25 to 1, Dr=0.25 to 1, Cr=0.25 to 1, Pr=0.25 to 1, and Q when the concentration of R1234yf is 50.0 mass %.



FIG. 21 is a ternary diagram that shows points Dr=0.25 to 1, Cr=0.25 to 1, Pr=0.25 to 0.37, Pr=0.5 to 1, Pr=0.25 to 0.37, Pr=0.50 to 1, and Q when the concentration of R1234yf is 46.5 mass %.



FIG. 22 is a ternary diagram that shows points Dr=0.25 to 1, Cr=0.25 to 1, Fr=0.25 to 0.37, Fr=0.37 to 1, Pr=0.25 to 0.37, Pr=0.37 to 1, and Q when the concentration of R1234yf is 50.0 mass %.





DESCRIPTION OF EMBODIMENT
Definition of Terms

In the present specification, the term “refrigerant” includes at least compounds that are specified in ISO 817 (International Organization for Standardization), and that are given a refrigerant number (ASHRAE number) representing the type of refrigerant with “R” at the beginning; and further includes refrigerants that have properties equivalent to those of such refrigerants, even though a refrigerant number is not yet given. Refrigerants are broadly divided into fluorocarbon compounds and non-fluorocarbon compounds in terms of the structure of the compounds. Fluorocarbon compounds include chlorofluorocarbons (CFC), hydrochlorofluorocarbons (HCFC), and hydrofluorocarbons (HFC). Non-fluorocarbon compounds include propane (R290), propylene (R1270), butane (R600), isobutane (R600a), carbon dioxide (R744), ammonia (R717), and the like.


In the present specification, the phrase “composition comprising a refrigerant” at least includes (1) a refrigerant itself (including a mixture of refrigerants), (2) a composition that further comprises other components and that can be mixed with at least a refrigeration oil to obtain a working fluid for a refrigerating machine, and (3) a working fluid for a refrigerating machine containing a refrigeration oil. In the present specification, of these three embodiments, the composition (2) is referred to as a “refrigerant composition” so as to distinguish it from a refrigerant itself (including a mixture of refrigerants). Further, the working fluid for a refrigerating machine (3) is referred to as a “refrigeration oil-containing working fluid” so as to distinguish it from the “refrigerant composition.”


In the present specification, when the term “alternative” is used in a context in which the first refrigerant is replaced with the second refrigerant, the first type of “alternative” means that equipment designed for operation using the first refrigerant can be operated using the second refrigerant under optimum conditions, optionally with changes of only a few parts (at least one of the following: refrigeration oil, gasket, packing, expansion valve, dryer, and other parts) and equipment adjustment. In other words, this type of alternative means that the same equipment is operated with an alternative refrigerant. Embodiments of this type of “alternative” include “drop-in alternative,” “nearly drop-in alternative,” and “retrofit,” in the order in which the extent of changes and adjustment necessary for replacing the first refrigerant with the second refrigerant is smaller.


The term “alternative” also includes a second type of “alternative,” which means that equipment designed for operation using the second refrigerant is operated for the same use as the existing use with the first refrigerant by using the second refrigerant. This type of alternative means that the same use is achieved with an alternative refrigerant.


In the present specification, the term “refrigerating machine” refers to machines in general that draw heat from an object or space to make its temperature lower than the temperature of ambient air, and maintain a low temperature. In other words, refrigerating machines refer to conversion machines that gain energy from the outside to do work, and that perform energy conversion, in order to transfer heat from where the temperature is lower to where the temperature is higher.


In the present disclosure, “non-flammability” means that the WCF (worst case of formulation for flammability) formulation, which is the most flammable formulation within the refrigerant's allowable concentrations in the U.S. ANSI/ASHRAE 34-2013 Standard, is categorized into Class 1 (i.e., WCF non-flammability) or determined to be ASHRAE non-flammability. Specifically, ASHRAE non-flammability means that the WCF formulation or WCFF formulation can be identified as nonflammable in a test performed with the measurement equipment and the method in accordance with ASTM E681-2009 Standard Test Method for Concentration Limits of Flammability of Chemicals (Vapors and Gases), and the WCF formulation and WCFF formulation are each classified as Class 1 ASHRAE non-flammability (WCF non-flammability) or Class 1 ASHRAE non-flammability (WCFF non-flammability). The WCFF formulation (worst case of fractionation for flammability: most flammable formulation) is determined by conducting a test for leakage in storage, transport, and use in accordance with ANSI/ASHRAE 34-2013.


1. Refrigerant
1.1 Refrigerant Component

The refrigerant according to the present disclosure is a mixed refrigerant comprising R32, CO2, R125, R134a, and R1234yf.


The refrigerant according to the present disclosure has the following properties that are typically required for alternative refrigerants for R410A: (1) a GWP of 750 or less, (2) WCF non-flammability or ASHRAE non-flammability, and (3) a COP and a refrigerating capacity equivalent to those of R410A.


In addition to the properties described above, the refrigerant according to the present disclosure, due to its temperature glide, can also have effects in improving energy efficiency and/or refrigerating capacity when used in a refrigerating machine equipped with a heat exchanger in which the flow of the refrigerant and the flow of the external heat medium are in countercurrent flow.


The refrigerant according to the present disclosure that satisfies the following requirements 1-1-1 to 1-3-2 is preferable, because such a refrigerant has a GWP of 750 or less, and WCF non-flammability. In the description below, the mass % of R32 is a, the mass % of CO2 is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r, based on the sum of R32, CO2, R125, R134a, and R1234yf.


In a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices, coordinates (a,b,c) are as defined below:


Requirement 1-1-1)

When 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.25 to 0.5 ((−2.2857x+87.314)r2+(1.7143x−55.886)r+(−0.9643x+55.336), (2.2857x−112.91)r2+(−1.7143x+104.69)r+(−0.25x+11.05), 100-a-b-x),


point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), and point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or


1-1-2)


When 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.5 to 1.0 ((−0.2857x+8.5143)r2+(0.5x−10.9)r+(−0.8571x+52.543), (−0.2857x+0.5143)r2+(0.5x+0.9)r+(−0.7143x+33.586), 100-a-b-x),


point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x), and point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q, and line segment QA, or


1-2-1)


when 46.5≥x≥43.8, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.25 to 0.5 ((1.1852x−64.711)r2+(−0.7407x+51.644)r+(−0.5556x+37.433), (−2.3704x+91.022)r2+(2.0741x−61.244)r+(−0.963x+42.278), 100-a-b-x),


point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), and point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or


Requirement 1-2-2)

When 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point ((0.2963x−16.978)r2+(−0.3704x+27.222)r+(−0.5185x+37.711), −8.0r2+22.8r+(−0.5185x+25.011), 100-a-b-x),


point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,


Requirement 1-3-1)

When 50≥x≥46.5, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.25 to 0.5 (−9.6r2+17.2r+(−0.6571x+42.157), −19.2r2+(0.2286x+24.571)r+(−0.6286x+26.729), 100-a-b-x),


point Dr=0.25 to 0.5 (0.0, (0.9143x−71.314)r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or


1-3-2)


When 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.5 to 1.0 ((−0.2286x+7.4286)r2+(0.4x−8.6)r+(−0.8x+50.8) (0.2286x−18.629)r2+(−0.2857x+36.086)r+(−0.4286x+20.829), 100-a-b-x),


point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA.


The refrigerant according to the present disclosure that satisfies the following requirements 2-1-1 to 2-3-2 is preferable, because such a refrigerant has a GWP of 750 or less, and ASHRAE non-flammability.


Requirement 2-1-1)

When 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.25 to 0.5 (0.0, (−1.1429x+37.257)r2+(1.2857x−38.714)r−(−1.7143x+106.89), 100-b-x),


point Pr=0.25 to 0.5 ((−1.1429x+34.057)r2+(1.0x−21.0)r+(−0.4643x+27.636), (2.2857x−119.31)r2+(−2.0x+122.0)r+(−0.3929x+19.907), 100-a-b-x), and


point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Fr=0.25 to 0.5, or 2-1-2)


When 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.5 to 1.0 (0.0, (3.7143x−159.49)r2+(−5.0714x+222.53)r+(0.25x+25.45), 100-b-x),


point Pr=0.5 to 1.0 ((0.4286x−138.17)r2+(−5.4286x+203.57)r+(1.6071x−41.593), (−2.8571x+106.74)r2+(4.5714x−143.63)r+(−2.3929x+96.027), 100-a-b-x), and


point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Fr=0.5 to 1.0, or


2-2-1)


When 46.5≥x≥43, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point F0=0.25 to 0.5 (0.0, (9.4815x−428.09)r2+(−7.1111x+329.07)r+(−0.2593x+43.156), 100-b-x),


point Pr=0.25 to 0.5 ((−8.2963x+347.38)r2+(4.8889x−191.33)r+(−0.963x+49.478), (7.1111x−330.67)r2+(−4.1481x+216.09)r+(−0.2593x+14.056), 100-a-b-x), and point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0,25 to 0.5 to Fr=0.25 to 0.5 or


2-2-2)


When 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.5 to 1.0 (0.0, (−4.7407x+210.84)r2+(6.963x−304.58)r+(−3.7407x+200.24), 100-b-x),


point Pr=0.5 to 1.0 ((0.2963x−0.9778)r2+(0.2222x−43.933)r+(−0.7778x+62.867), (−0.2963x−5.4222)r2+(−0.0741x+59.844)r+(−0.4444x+10.867), 100-a-b-x), and


point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Fr=0.5 to 1.0, or


2-3-1)


When 50≥x≥46.5, and 0.37≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.25 to 0.37 (0.0, (−35.714x+1744.0)r2+(23.333x−1128.3)r+(−5.144x+276.32), 100-b-x),


point Pr=0.25 to 0.37 ((11.905x−595.24)r2+(−7.6189x+392.61)r+(0.9322x−39.027), (−27.778x+1305.6)r2+(17.46x−796.35)r+(−3.5147x+166.48), 100-a-b-x), and


point Dr=0.25 to 0.37 (0.0, (0.9143x−71.314)r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.37 to Fr=0.25 to 0.37 or


2-3-2)


When 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.5 to 1.0 (0.0, (2.2857x−115.89)r2+(−3.0857x+162.69)r+(−0.3714x+43.571), 100-b-x),


point Pr=0.5 to 1.0 ((−3.2x+161.6)r2+(4.4571x−240.86)r+(−2.0857x−123.69), (2.5143x−136.11)r2+(−3.3714x+213.17)r+(0.5429x−35.043), 100-a-b-x), and


point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Fr=0.5 to 1.0.


The refrigerant according to the present disclosure may further comprise other additional refrigerants and/or unavoidable impurities in addition to R32, CO2, R125, R134a, and R1234yf, as long as the above properties and effects are not impaired. In this respect, the refrigerant according to the present disclosure preferably comprises R32, CO2, R125, R134a, and R1234yf in a total amount of 99.5 mass % or more based on the entire refrigerant. In this case, the total amount of one or more additional refrigerants and unavoidable impurities is 0.5 mass % or less based on the entire refrigerant. In this respect, the refrigerant comprises R32, CO2, 8125, R134a, and R1234yf in a total amount of more preferably 99.75 mass % or more, and still more preferably 99.9 mass % or more based on the entire refrigerant.


Such additional refrigerants are not limited, and can be selected from a wide range of refrigerants. The mixed refrigerant may comprise a single additional refrigerant, or two or more additional refrigerants.


1.2 Application

The refrigerant according to the present disclosure can be suitably used in (A) a refrigerating machine equipped with a heat exchanger in which the flow of the refrigerant and the flow of the external heat medium are in countercurrent flow; and/or (B) a refrigerating machine equipped with a heat-source-side heat exchanger and a user-side heat exchanger, with the evaporating temperature of the refrigerant being 0° C. or below when the user-side heat exchanger functions as an evaporator. Details of these specific refrigerating machines (A) and (B) are described later.


The refrigerant according to the present disclosure is suitable for use as an alternative refrigerant for R410A.


2. Refrigerant Composition

The refrigerant composition according to the present disclosure comprises at least the refrigerant according to the present disclosure, and can be used for the same use as the refrigerant according to the present disclosure. Moreover, the refrigerant composition according to the present disclosure can be further mixed with at least a refrigeration oil to thereby obtain a working fluid for a refrigerating machine.


The refrigerant composition according to the present disclosure further comprises at least one other component in addition to the refrigerant according to the present disclosure. The refrigerant composition according to the present disclosure may comprise at least one of the following other components, if necessary. As described above, when the refrigerant composition according to the present disclosure is used as a working fluid in a refrigerating machine, it is generally used as a mixture with at least a refrigeration oil. Therefore, it is preferable that the refrigerant composition according to the present disclosure does not substantially comprise a refrigeration oil. Specifically, in the refrigerant composition according to the present disclosure, the content of the refrigeration oil based on the entire refrigerant composition is preferably 0 to 1 massa, and more preferably 0 to 0.1 massa.


2.1. Water

The refrigerant composition according to the present disclosure may contain a small amount of water. The water content of the refrigerant composition is preferably 0.1 parts by mass or less, per 100 parts by mass of the refrigerant. A small amount of water contained in the refrigerant composition stabilizes double bonds in the molecules of unsaturated fluorocarbon compounds that can be present in the refrigerant, and makes it less likely that the unsaturated fluorocarbon compounds will be oxidized, thus increasing the stability of the refrigerant composition.


2.2. Tracer

A tracer is added to the refrigerant composition according to the present disclosure at a detectable concentration such that when the refrigerant composition has been diluted, contaminated, or undergone other changes, the tracer can trace the changes.


The refrigerant composition according to the present disclosure may comprise a single tracer, or two or more tracers.


The tracer is not limited, and can be suitably selected from commonly used tracers.


Examples of tracers include hydrofluorocarbons, deuterated hydrocarbons, deuterated hydrofluorocarbons, perfluorocarbons, fluoroethers, brominated compounds, iodinated compounds, alcohols, aldehydes, ketones, and nitrous oxide (N2O).


The tracer is particularly preferably a hydrofluorocarbon or a fluoroether.


2.3. Ultraviolet Fluorescent Dye

The refrigerant composition according to the present disclosure may comprise a single ultraviolet fluorescent dye, or two or more ultraviolet fluorescent dyes.


The ultraviolet fluorescent dye is not limited, and can be suitably selected from commonly used ultraviolet fluorescent dyes.


Examples of ultraviolet fluorescent dyes include naphthalimide, coumarin, anthracene, phenanthrene, xanthene, thioxanthene, naphthoxanthene, fluorescein, and derivatives thereof. The ultraviolet fluorescent dye is particularly preferably either naphthalimide or coumarin, or both.


2.4. Stabilizer

The refrigerant composition according to the present disclosure may comprise a single stabilizer, or two or more stabilizers.


The stabilizer is not limited, and can be suitably selected from commonly used stabilizers.


Examples of stabilizers include nitro compounds, ethers, and amines.


Examples of nitro compounds include aliphatic nitro compounds, such as nitromethane and nitroethane; and aromatic nitro compounds, such as nitrobenzene and nitrostyrene.


Examples of ethers include 1,4-dioxane.


Examples of amines include 2,2,3,3,3-pentafluoropropylamine and diphenylamine.


Examples of stabilizers also include butylhydroxyxylene and benzotriazole.


The content of the stabilizer is not limited. Generally, the content of the stabilizer is preferably 0.01 to 5 parts by mass, and more preferably 0.05 to 2 parts by mass, per 100 parts by mass of the refrigerant.


2.6. Polymerization Inhibitor

The refrigerant composition according to the present disclosure may comprise a single polymerization inhibitor, or two or more polymerization inhibitors.


The polymerization inhibitor is not limited, and can be suitably selected from commonly used polymerization inhibitors.


Examples of polymerization inhibitors include 4-methoxy-1-naphthol, hydroquinone, hydroquinone methyl ether, dimethyl-t-butylphenol, 2,6-di-tert-butyl-p-cresol, and benzotriazole.


The content of the polymerization inhibitor is not limited. Generally, the content of the polymerization inhibitor is preferably 0.01 to 5 parts by mass, and more preferably 0.05 to 2 parts by mass, per 100 parts by mass the refrigerant.


3. Refrigeration Oil-Containing Working Fluid

The refrigeration oil-containing working fluid according to the present disclosure comprises at least the refrigerant or refrigerant composition according to the present disclosure and a refrigeration oil, and is used as a working fluid in a refrigerating machine. Specifically, the refrigeration oil-containing working fluid according to the present disclosure is obtained by mixing a refrigeration oil used in a compressor of a refrigerating machine with the refrigerant or the refrigerant composition. The refrigeration oil-containing working fluid generally comprises 10 to 50 mass % of refrigeration oil.


3.1. Refrigeration Oil

The refrigeration oil-containing working fluid according to the present disclosure may comprise a single refrigeration oil, or two or more refrigeration oils.


The refrigeration oil is not limited, and can be suitably selected from commonly used refrigeration oils. In this case, refrigeration oils that are superior in the action of increasing the miscibility with the mixture and the stability of the mixture, for example, are suitably selected as necessary.


The base oil of the refrigeration oil is preferably, for example, at least one member selected from the group consisting of polyalkylene glycols (PAG), polyol esters (POE), and polyvinyl ethers (PVE).


The refrigeration oil may further contain additives in addition to the base oil. The additive may be at least one member selected from the group consisting of antioxidants, extreme-pressure agents, acid scavengers, oxygen scavengers, copper deactivators, rust inhibitors, oil agents, and antifoaming agents.


A refrigeration oil with a kinematic viscosity of 5 to 400 cSt at 40° C. is preferable from the standpoint of lubrication.


The refrigeration oil-containing working fluid according to the present disclosure may further optionally comprise at least one additive. Examples of additives include the compatibilizing agents described below.


3.2. Compatibilizing Agent

The refrigeration oil-containing working fluid according to the present disclosure may comprise a single compatibilizing agent, or two or more compatibilizing agents.


The compatibilizing agent is not limited, and can be suitably selected from commonly used compatibilizing agents.


Examples of compatibilizing agents include polyoxyalkylene glycol ethers, amides, nitriles, ketones, chlorocarbons, esters, lactones, aryl ethers, fluoroethers, and 1,1,1-trifluoroalkanes. The compatibilizing agent is particularly preferably a polyoxyalkylene glycol ether.


4. Refrigerating Machine

Below, refrigerating machines according to embodiments of the present disclosure are described with reference to drawings. The use of the refrigerant according to the present disclosure in these refrigerating machines can provide the excellent effects described above. Thus, the refrigerant according to the present disclosure is particularly suitable for use in these refrigerating machines.


4.1 Refrigerating Machine (A)

A refrigerating machine (A) comprises a countercurrent heat exchanger in which the flow of the refrigerant and the flow of the external heat medium are in countercurrent flow. “Countercurrent” means that the flow of a refrigerant is opposite to the flow of an external heat medium in a heat exchanger (i.e., the refrigerant flows from downstream to upstream in the direction in which the external heat medium flows); and thus differs from concurrent, in which the flow of the refrigerant is in the forward direction of the flow of the external heat medium (the refrigerant flows from upstream to downstream in the direction in which the external heat medium flows).


Specifically, when the external heat medium is water, a double-pipe heat exchanger as shown in FIG. 2(a) may be used as a heat exchanger. For example, the external heat medium is allowed to flow from one side to the other through an inner pipe P1 of the double pipe (from upstream to downstream in FIG. 2(a)), and the refrigerant is allowed to flow through an outer pipe P2 from the other side to the one side (from downstream to upstream in FIG. 2(a)); this makes the flow of the refrigerant countercurrent with the flow of the external heat medium. When a cylindrical pipe P3 wound with a spiral pipe P4 on its outer circumference as shown in FIG. 2(b) is used as a heat exchanger, the external heat medium is allowed to flow through the cylindrical pipe P3, for example, from one side to the other (from upstream to downstream in FIG. 2(b)), and the refrigerant is allowed to flow through the spiral pipe P4 from the other side to the one side (from downstream to upstream in FIG. 2(b)); this makes the flow of the refrigerant countercurrent with the flow of the external heat medium. Additionally, known heat exchangers in which the refrigerant flows in the direction opposite to the flow of the external heat medium, such as a plate heat exchanger (not shown), are also usable.


When the external heat medium is air, a finned tube heat exchanger as shown in FIG. 3 may be used as a heat exchanger. The finned tube heat exchanger comprises a plurality of fins F that are arranged at a predetermined interval, and a heat transfer tube P5 that appears winding in a planar view. The heat transfer tube P5 is provided such that multiple straight portions (two portions in FIG. 3) of the heat transfer tube P5 that are in parallel to each other pass through the plurality of fins F. Of the two ends of the heat transfer tube P5, one end serves as an inlet for the refrigerant, and the other serves as an outlet for the refrigerant. Allowing a refrigerant to flow from downstream to upstream as indicated by arrow X in FIG. 3 in the direction of air flow Y makes the flow of the refrigerant countercurrent with the flow of the external heat medium.


The refrigerant according to the present disclosure is a zeotropic composition, and the temperature of the heat medium increases or decreases during isobaric evaporation or condensation.


A refrigeration cycle that involves temperature change (temperature glide) during evaporation or condensation is called a “Lorenz cycle.” In a Lorenz cycle, when the evaporator and the condenser that function as a heat exchanger for exchanging heat are of countercurrent type, this decreases the difference in the temperature of the refrigerant between during evaporation and during condensation. However, a difference in temperature sufficiently large to effectively transfer heat between the refrigerant and the external heat medium is maintained, enabling efficient heat exchange. Another advantage of refrigerating machines equipped with a countercurrent heat exchanger is the minimum difference in pressure. Thus, the use of the refrigerant according to the present disclosure in a countercurrent refrigerating machine improves energy efficiency and/or capacity, as compared with the use of the refrigerant in conventional refrigerating machines.


4.2 Refrigerating Machine (B)

A refrigerating machine (B) comprises a heat-source-side heat exchanger and a user-side heat exchanger, with the evaporating temperature of the refrigerant being 0° C. or below when the user-side heat exchanger functions as an evaporator. The evaporating temperature of the refrigerant can be measured by detecting the temperature of the refrigerant at the outlet of the user-side heat exchanger. The heat exchanger of the refrigerating machine (B) does not have to be of countercurrent type.


4.3 Combination of Refrigerating Machines (A) and (B)

In the present disclosure, a refrigerating machine that has the characteristics of both the refrigerating machine (A) and the refrigerating machine (B) may be used. Specifically, a refrigerating machine is usable that comprises a countercurrent heat exchanger in which the flow of the refrigerant and the flow of the external heat medium are in countercurrent flow, with the evaporating temperature of the refrigerant being 0° C. or below when the heat exchanger functions as an evaporator.


The refrigerating machine according to the present disclosure can be suitably used as a shipping refrigerating machine provided to shipping containers for overland or marine transport, or as a showcase refrigerating machine provided to refrigerating showcases or freezing showcases installed in shops.


4.4 More Detailed Structure of Refrigerating Machine

The refrigerating machines (A) and (B) may comprise a refrigerant circuit that includes a compressor, a heat-source-side heat exchanger, an expansion mechanism, and a user-side heat exchanger, in this order. FIG. 4 shows an embodiment of the refrigerant circuit in a refrigerating machine 10. A refrigerant circuit 11 mainly includes a compressor 12, a heat-source-side heat exchanger 13, an expansion mechanism 14, and a user-side heat exchanger 15; and is configured such that these devices 12 to 15 and other devices are sequentially connected. The refrigerant circuit 11 uses the mixture of fluorinated hydrocarbons described above as a refrigerant; the refrigerant circulates in the direction of the solid-line arrow in FIG. 4.


The compressor 12 is a device that compresses a low-pressure gas refrigerant, and ejects a high-temperature high-pressure gas refrigerant; the compressor 12 is installed in a space outside the machine, or in an outdoor space. The high-pressure gas refrigerant ejected from the compressor 12 is supplied to the heat-source-side heat exchanger 13.


The heat-source-side heat exchanger 13 is a device that condenses (liquefies) the high-temperature high-pressure gas refrigerant compressed in the compressor 12; and is installed in a space outside the machine, or in an outdoor space. The high-pressure liquid refrigerant ejected from the heat-source-side heat exchanger 13 passes through the expansion mechanism 14.


The expansion mechanism 14 is a device that depressurizes the high-pressure liquid refrigerant that released heat in the heat-source-side heat exchanger 13 to a low pressure in a refrigeration cycle; and is installed in a space inside the machine, or in an indoor space. The expansion mechanism 14 for use may be, for example, an electronic expansion valve; and is preferably a thermostatic expansion valve, as shown in FIG. 5. A thermostatic expansion valve used as the expansion mechanism 14 detects the temperature of the refrigerant that has passed the user-side heat exchanger 15 by a thermostatic cylinder directly connected to the expansion valve, and controls the degree of opening of the expansion valve based on the detected refrigerant temperature. Thus, for example, when the user-side heat exchanger 15, an expansion valve, and a thermostatic cylinder are provided inside the user-side unit, control of the expansion valve is completed only inside the user-side unit. This eliminates the need for communications in regards to the expansion valve between the heat-source-side unit provided with the heat-source-side heat exchanger 13 and the user-side unit, leading to low costs and reduced work. When a thermostatic expansion valve is used as the expansion mechanism 14, an electromagnetic valve 17 is provided to the expansion mechanism 14 on the side where the heat-source-side heat exchanger 13 is present. The low-pressure liquid refrigerant that has passed through the expansion mechanism 14 is supplied to the user-side heat exchanger 15.


The user-side heat exchanger 15 is a device that evaporates (vaporizes) the low-pressure liquid refrigerant; and is installed in a space inside the machine, or in an indoor space. The low-pressure gas refrigerant ejected from the user-side heat exchanger 15 is supplied to the compressor 12, and recirculates the refrigerant circuit 11.


In the refrigerating machine, the heat-source-side heat exchanger 13 functions as a condenser, and the user-side heat exchanger 15 functions as an evaporator.


In the refrigerating machine (A), two heat exchangers (heat-source-side heat exchanger 13 and user-side heat exchanger 15) are of a countercurrent heat exchanger. In FIGS. 4 and 5, and FIGS. 6 to 11, which are explained below, the heat-source-side heat exchanger 13 is configured as a heat exchanger using water as an external heat medium (e.g., a double-pipe heat exchanger), and the user-side heat exchanger 15 is configured as a heat exchanger using air as an external heat medium (e.g., a finned tube heat exchanger); however, the exchangers 13 and 15 are not limited to these exchangers. The heat-source-side heat exchanger 13 may be configured as a heat exchanger using air as an external heat medium, and the user-side heat exchanger 15 may be configured as a heat exchanger using water as an external heat medium. Alternatively, the heat-source-side heat exchanger 13 and the user-side heat exchanger 15 may both be configured as a heat exchanger using air as an external heat medium, or as a heat exchanger using water as an external heat medium.


In the refrigerating machine (B), the evaporating temperature of the refrigerant is 0° C. or below when the user-side heat exchanger 15 functions as an evaporator. In the refrigerating machine (B), the heat-source-side heat exchanger 13 and the user-side heat exchanger 15 do not have to be of countercurrent type.


In the refrigerating machine 10 configured as described above, the refrigerant circuit 11, as shown in FIG. 6, may have a plurality of expansion mechanisms 14 and a plurality of user-side heat exchangers 15 (two for each in FIG. 6) arranged in parallel.


In the refrigerating machine 10 configured as described above, the refrigerant circuit 11, as shown in FIG. 7, may further comprise a four-way switching valve 18 that switches the flow of the high-temperature high-pressure gas refrigerant compressed by the compressor 12 toward either the heat-source-side heat exchanger 13 or the user-side heat exchanger 15. The four-way switching valve 18 can switch the operation between the normal-cycle operation, in which the heat-source-side heat exchanger 13 functions as a radiator, while the user-side heat exchanger 15 functions as an evaporator (the direction of the solid-line arrow) and the reverse-cycle operation, in which the heat-source-side heat exchanger 13 functions as an evaporator, while the user-side heat exchanger 15 functions as a radiator (the direction of the dashed-line arrow).


In the refrigerating machine 10 configured as described above, when the evaporating temperature of the refrigerant in the user-side heat exchanger 15 (evaporator) reaches 0° C. or below, the user-side heat exchanger 15 (evaporator) may undergo frost formation. Frost formation decreases the heat-exchange efficiency of the user-side heat exchanger 15 (evaporator), increasing the power consumption and/or decreasing the cooling capacity. Thus, it is preferable to remove frost adhered to the user-side heat exchanger 15 (evaporator) by performing a defrosting operation (defrost) under predetermined conditions.


The defrosting operation (defrost) may be off-cycle defrost performed by, as shown in FIG. 8, stopping the operation of the compressor 12, and then activating a fan 16 without flowing the refrigerant to the user-side heat exchanger 15. The off-cycle defrost sends an external heat medium to the user-side heat exchanger 15 by the fan 16 to defrost the user-side heat exchanger 15. The user-side heat exchanger 15 configured with a heat exchanger that uses water as an external heat medium is provided with the fan 16.


The defrosting operation (defrost) may be heating defrost performed by, as shown in FIG. 9, further adding a heating means 19 for heating the user-side heat exchanger 15 to the refrigerating machine 10, and activating the heating means 19. The heating defrost heats the user-side heat exchanger 15 by the heating means 19 to melt the frost adhered to the user-side heat exchanger 15, thereby defrosting the user-side heat exchanger 15. Examples of the heating means 19 for use include electric heaters.


The defrosting operation (defrost) may be reverse-cycle hot-gas defrost performed by, as shown in FIG. 10, activating the reverse-cycle operation described above. Activating the reverse-cycle operation supplies the high-temperature high-pressure gas refrigerant compressed by the compressor 12 to the user-side heat exchanger 15 to melt the frost adhered to the user-side heat exchanger 15, thereby defrosting the user-side heat exchanger 15.


The defrosting operation (defrost) may be normal-cycle hot-gas defrost as shown in FIG. 11. In FIG. 11, the refrigerant circuit 11 is provided with a bypass flow path 20 that is connected to the discharge side of the compressor 12 at one end, and to the inlet side of the user-side heat exchanger 15 at the other end. The normal-cycle hot-gas defrost opens a bypass valve 21, while circulating the refrigerant, to directly supply the high-temperature high-pressure gas refrigerant compressed by the compressor 12 to the user-side heat exchanger 15 through the bypass flow path 20. This melts the frost adhered to the user-side heat exchanger 15, thereby defrosting the user-side heat exchanger 15. The high-temperature high-pressure gas refrigerant compressed by the compressor 12 may be bypassed after being depressurized through the expansion mechanism 14 at the inlet side of the user-side heat exchanger 15.


The predetermined conditions under which the defrosting operation (defrost) is performed may be configured such that, for example, a temperature sensor (not shown) detects the inflow refrigerant temperature at the user-side heat exchanger 15 and outside air temperature, and, for example, a control unit determines whether frost is formed in the user-side heat exchanger 15 based on these temperatures; and performs the defrosting operation (defrost) triggered by the determination that frost has been formed.


4. Method for Operating Refrigerating Machine

The method for operating a refrigerating machine according to the present disclosure is a method for operating the refrigerating machine (A) or (B) using the refrigerant according to the present disclosure.


Specifically, the method for operating a refrigerating machine according to the present disclosure comprises circulating the refrigerant according to the present disclosure in the refrigerating machine (A) or (B).


When the refrigerating machine has the following structure, the method for operating a refrigerating machine according to the present disclosure may comprise switching the operation between a normal-cycle operation and a reverse-cycle operation by the four-way switching valve described below:


A refrigerating machine comprising a refrigerant circuit that includes a compressor, a heat-source-side heat exchanger, an expansion mechanism, and a user-side heat exchanger in this order,


the refrigerant circuit including a four-way switching valve that switches the flow of a refrigerant compressed by the compressor toward either the heat-source-side heat exchanger or the user-side heat exchanger,


the four-way switching valve capable of switching an operation between a normal-cycle operation in which the heat-source-side heat exchanger functions as a radiator while the user-side heat exchanger functions as an evaporator, and a reverse-cycle operation in which the heat-source-side heat exchanger functions as an evaporator while the user-side heat exchanger functions as a radiator.


Additionally, the method for operating the refrigerating machine according to the present disclosure may further comprise performing reverse-cycle hot-gas defrost by the reverse-cycle operation.


When the refrigerating machine has the following structure, the method for operating a refrigerating machine according to the present disclosure may comprise performing off-cycle defrost by stopping the operation of the compressor described below, and operating the user-side fan described below:


A refrigerating machine comprising a refrigerant circuit that includes a compressor, a heat-source-side heat exchanger, an expansion mechanism, and a user-side heat exchanger in this order,


the user-side heat exchanger being provided with a user-side fan.


When the refrigerating machine has the following structure, the method for operating a refrigerating machine according to the present disclosure may comprise performing heating defrost by heating the user-side heat exchanger with the heating means described below:


A refrigerating machine comprising a refrigerant circuit that includes a compressor, a heat-source-side heat exchanger, an expansion mechanism, and a user-side heat exchanger in this order; and further comprising a heating means for heating the user-side heat exchanger.


When the refrigerating machine has the following structure, the method for operating a refrigerating machine according to the present disclosure may comprise performing normal-cycle hot-gas defrost by supplying a refrigerant compressed by the compressor to the user-side heat exchanger through the bypass flow path:


A refrigerating machine comprising a refrigerant circuit that includes a bypass flow path that is connected to the discharge side of the compressor at one end, and to the inlet side of the user-side heat exchanger at the other end.


Item 1. A composition comprising a refrigerant,

    • the refrigerant comprising difluoromethane (R32), carbon dioxide (CO2), pentafluoroethane (R125), 1,1,1,2-tetrafluoroethane (R134a), and 2,3,3,3-tetrafluoropropene (R1234yf), wherein
    • when the mass % of R32 is a, the mass % of CO2 is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,
    • in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,
    • 1-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


      point A (−0.6902x+43.307, 100-a-x, 0.0),


      point Or=0.25 to 0.5 ((−2.2857x+87.314)r2+(1.7143x−55.886) r+(−0.9643x+55.336), (2.2857x−112.91) r2+(−1.7143x+104.69)r+(−0.25x+11.05), 100-a-b-x),


      point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), and


      point Q (0.0, 100-x, 0.0),


      or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or


1-1-2) when 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.5 to 1.0 ((−0.2857x+8.5143)r2+(0.5x−10.9)r+(−0.8571x+52.543), (−0.2857x+4.5143)r2+(0.5x+0.9)r+(−0.7143x+33.586), 100-a-b-x),


point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429) r+(−1.2857x+66.814), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA, or on the line segments, or


1-2-1) when 46.5≥x≥43.8, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.25 to 0.5 ((1.1852x−64.711) r2+(−0.7407x+51.644)r+(−0.5556x+37.433), (−2.3704x+91.022)r2+(2.0741x−61.244)r+(−0.963x+42.278), 100-a-b-x),


point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or


1-2-2) when 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.25 to 0.5 ((0.2963x−16.978)r2+(−0.3704x+27.222)r+(−0.5185x+37.711), −8.0r2+22.8r+(−0.5185x+25.011), 100-a-b-x),


point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.5 to Q and line segment QA,


1-3-1) when 50≥x≥46.5, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.25 to 0.5 (−9.6r2+17.2r+(−0.6571 x+42.157), −19.2r2+(0.2286x+24.571)r+(−0.6286x+26.729), 100-a-b-x),


point Dr=0.25 to 0.5 (0.0, (0.9143x−71.314)+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or


1-3-2) when 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:


point A (−0.6902x+43.307, 100-a-x, 0.0),


point Or=0.5 to 1.0 ((−0.2286x+7.4286)r2+(0.4x−8.6) r+(−0.8x+50.8), (0.2286x−18.629) r2+(−0.2857x+36.086)r+(−0.4286x+20.829), 100-a-b-x),


point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x), and


point Q (0.0, 100-x, 0.0),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA.


Item 2. A composition comprising a refrigerant, the refrigerant comprising R32, CO2, R125, R134a, and R1234yf,


wherein


when the mass % of R32 is a, the mass % of CO2 is b, the masse of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,


in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,


2-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.25 to 0.5 (0.0, (−1.1429x+37.257)r2+(1.2857x−38.714)r−(−1.7143x+106.89), 100-b-x),


point Pr=0.25 to 0.5 ((−1.1429x+34.057)r2+(1.0x−21.0) r+(−0.4643x+27.636), (2.2857x−119.31)r2+(−2.0x+122.0)r+(−0.3929x+19.907), 100-a-b-x), and


point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Fr=0.25 to 0.5, or


2-1-2) when 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.5 to 1.5 (0.0, (3.7143x−159.49)r2+(−5.0714x+222.53)r+(0.25x+25.45), 100-b-x),


point Pr=0.5 to 1.0 ((3.4286x−138.17) r2+(−5.4286x+203.57)r+(1.6071x−41.593), (−2.8571x+106.74)r2+(4.5714x−143.63) r+(−2.3929x+96.027), 100-a-b-x), and


point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Fr=0.5 to 1.0, or


2-2-1) when 46.5≥x≥43, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.25 to 0.5 (0.0, (9.4815x−428.09)r2+(−7.1111x+329.07)r+(−0.2593x+43.156), 100-b-x),


point Pr=0.25 to 0.5 ((−8.2963x+347.38)r2+(4.8889x−191.33)r+(−0.963x+49.478), (7.1111x−330.67)r2+(−4.1481x+216.09)r+(−0.2593x+14.056), 100-a-b-x), and point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Fr=0.25 to 0.5, or


2-2-2) when 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.5 to 1.0 (0.0, (−4.7407x+210.84)r2+(6.963x−304.58)r+(−3.7407x+200.24), 100-b-x),


point Pr=0.5 to 1.0 ((0.2963x−0.9778)r2+(0.2222x−43.933)r+(−0.7778x+62.867), (−0.2963x−5.4222)r2+(−0.0741x+59.844)r+(−0.4444x+10.867), 100-a-b-x), and


point Dr=0.25 to 0.5 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Fr=0.5 to 1.0, or


2-3-1) when 50≥x≥46.5, and 0.37≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.25 to 0.37 (0.0, (−35.714x+1744.0)r2+(23.333x−1128.3) r+(−5.144x+276.32), 100-b-x),


point Pr=0.25 to 0.37 ((11.905x−595.24) r2+(−7.6189x+392.61)r+(0.9322x−39.027), (−27.778x+1305.6)r2+(17.46x−796.35) r+(−3.5147x+166.48), 100-a-b-x), and


point Dr=0.25 to 0.37 (0.0, (0.9143x−71.314) r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.25 to 0.37 to Fr=0.25 to 0.37, or


2-3-2) when 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:


point Fr=0.5 to 1.0 (0.0, (2.2857x−115.89) r2+(−3.0857x+162.69)r+(−0.3714x+43.571), 100-b-x),


point Pr=0.5 to 1.0 ((−0.2x+161.6)r2+(0.4571x−240.86) r+(−2.0857x+123.69), (2.5143x−136.11) r2+(−0.3714x+213.17)r+(0.5429x−35.043), 100-a-b-x), and


point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429) r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x),


or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Fr=0.5 to 1.0.


Item 3. The composition according to Item 1 or 2, comprising R32, CO2, R125, R134a, and R1234yf in a total amount of 99.5 mass % or more based on the entire refrigerant.


Item 4. The composition according to any one of Items 1 to 3, comprising a refrigeration oil.


Item 5. The composition according to any one of Items 1 to 4, wherein the refrigerant is for use as an alternative refrigerant for R410A.


Item 6. A refrigerating machine comprising the composition of any one of Items 1 to 5.


Item 7. The refrigerating machine according to Item 6, comprising a heat exchanger in which a flow of the refrigerant and a flow of an external heat medium are in countercurrent flow.


Item 8. The refrigerating machine according to Item 6 or 7, comprising a heat-source-side heat exchanger and a user-side heat exchanger, wherein when the user-side heat exchanger functions as an evaporator, the evaporating temperature of the refrigerant is 0° C. or below.


Item 9. A refrigerating machine comprising

    • a refrigerant comprising R32, CO2, R125, R134a, and R1234yf, and
    • a heat exchanger in which a flow of the refrigerant and a flow of an external heat medium are in countercurrent flow.


      Item 10. A refrigerating machine comprising
    • a refrigerant comprising R32, CO2, R125, R134a, and R1234yf,
    • a heat-source-side heat exchanger, and
    • wherein when the user-side heat exchanger functions as an evaporator, the evaporating temperature of the refrigerant is 0° C. or below.


EXAMPLES

The present disclosure is described in more detail below with reference to Examples. However, the present disclosure is not limited to the Examples.


1. Calculation of WCF Non-Flammability Limit and ASHRAE Non-Flammability Limit (WCF & WCFF Non-Flammability)

The formulation of a mixed refrigerant composed only of R32, CO2, R125, R134a, and R1234yf is described as below. Specifically, the formulation of this mixed refrigerant is identified by coordinates (a,b,c) in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of 8125 and R134a at a point of (100-x) mass % as vertices, in which the mass % of R32 is a, the mass % of CO2 is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c1, the mass % of R1234yf is x, and c1/(c1+c2) is r, based on the sum of R32, CO2, R125, R134a, and R1234yf.


The following describes the method for determining the WCF non-flammability limit and ASHRAE non-flammability limit when x=41 mass % and r=0.25.


To determine the non-flammability limits in a ternary composition diagram, first, the non-flammability limit of a binary mixed refrigerant of a flammable refrigerant (R32 and 1234yf) and a non-flammable refrigerant (CO2, R134a, and R125) must be determined. How to determine the non-flammability limit of the binary mixed refrigerant is described below.


[1] Non-Flammability Limit of Binary Mixed Refrigerant of Flammable Refrigerant (R32 and 1234yf) and Non-Flammable Refrigerant (CO2, R134a, and R125)

The non-flammability limit of the binary mixed refrigerant was determined with the measurement device and measurement method of the combustion test according to ASTM E681-2009.


Specifically, in order to visually observe and video-record the state of combustion, a spherical glass flask (inner volume: 12 liters) was used. The upper lid of the glass flask was set to release gas when excessive pressure was applied on the glass flask by combustion. The ignition was initiated by discharge from electrodes held at a height one-third from the bottom. The test conditions are as described below.


Test Conditions

Test Vessel: 280 mm in diameter, spherical (inner volume: 12 liters)


Test Temperature: 60° C.±3° C.

Pressure: 101.3 kPa+0.7 kPa


Water Content: 0.0088 g±0.0005 g per g of dry air


Mixture Ratio of Binary Refrigerant Composition/Air: per vol %±0.2 vol %

Mixing of Binary Refrigerant Composition: ±0.1 mass %


Ignition Method: AC discharge, voltage 15 kV, current 30 mA, neon transformer


Electrode Interval: 6.4 mm (¼ inch)


Spark: 0.4 seconds±0.05 seconds


Determination Criteria:





    • In the case in which a flame propagates at a frame angle of more than 90° from around the ignition point=combustion (propagation)

    • In the case in which a flame propagates at a frame angle of 90° or less from around the ignition point=no flame propagation (non-flammable)





The test was performed on the combinations of a flammable refrigerant and a non-flammable refrigerant shown in Table 1. A non-flammable refrigerant was added to a flammable refrigerant in stages.


As a result, the mixed refrigerant of a flammable refrigerant R32 and a non-flammable refrigerant R134a exhibited no flame propagation from the point at which R32-43.0 mass %, and R134a=57.0 mass %. This formulation was determined to be a non-flammability limit. Additionally, flame propagation was not observed in flammable refrigerant R32 and non-flammable refrigerant R125 from the point at which R32=63.0 massa, and R125=37.0 mass %; in flammable refrigerant R32 and non-flammable refrigerant CO2 from the point at which R32=43.5 mass %, and CO2=56.5 mass %; in flammable refrigerant 1234yf and non-flammable refrigerant R134a from the point at which 1234yf=62.0 mass % and R134a=38.0 mass %; in flammable refrigerant 1234yf and non-flammable refrigerant R125 from the point at which 1234yf=79.0 masse, and R125=21.0 mass %; and in flammable refrigerant 1234yf and non-flammable refrigerant CO2 from the point at which 1234yf=63.0 massa, and CO2=−37.0 mass %. These formulations were determined to be non-flammability limits. Table 1 summarizes the results.











TABLE 1






Flammable
Non-Flammable


Item
Refrigerant
Refrigerant







Combination of Binary Mixed
R32
R134a


Refrigerant


Non-Flammability Limit (wt %)
43.0
57.0


Combination of Binary Mixed
R32
R125


Refrigerant


Non-Flammability Limit (wt %)
63.0
37.0


Combination of Binary Mixed
R32
CO2


Refrigerant


Non-Flammability Limit (wt %)
43.5
56.5


Combination of Binary Mixed
1234yf
R134a


Refrigerant


Non-Flammability Limit (wt %)
62.0
38.0


Combination of Binary Mixed
1234yf
R125


Refrigerant


Non-Flammability Limit (wt %)
79.0
21.0


Combination of Binary Mixed
1234yf
CO2


Refrigerant


Non-Flammability Limit (wt %)
63.0
37.0









Subsequently, the non-flammability limit when x=41 mass %, and r=0.25 was determined based on the non-flammability limit of the binary mixed refrigerants determined in section [1] above as described below.


1) When x=41 mass %, r=0.25, and c=0 mass %; point A (a,b,0)


With the setting of a+b=59 mass %, whether the mixture formulation is a non-flammability limit formulation was investigated in accordance with the following procedure.


(1) The R32-converted flammable refrigerant concentration=the concentration of R32+the concentration of R1234yf×((21/79)x(63/37)+(38/62)x(43/57))/2


(2) The R32-converted non-flammable refrigerant concentration=the concentration of R125x(63/37)+the concentration of R134ax(43/57)+the concentration of CO2x (43.5/56.5)


A positive and minimum value determined by subtracting the R32-converted flammable refrigerant formulation from the R32-converted non-flammable refrigerant formulation was taken as the calculated non-flammability limit formulation. Table 2 shows the calculation results. Point A (15.0, 44.0, 0) was the calculated non-flammability limit formulation.

















TABLE 2













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Formulation
(a)
(c1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Example
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Flammability
15.10
0.00
41.00
0.00
43.90
33.86
33.80
−0.06


Limit


Non-
15.00
0.00
41.00
0.00
44.00
33.76
33.33
0.12


Flammability


Limit










2) When x=41 mass %, r=0.25, and b=30 mass %; point (a,30,c)


With the setting of a+c=29 mass %, the non-flammability limit formulation was determined in accordance with the procedure described above. Table 3 shows the results.

















TABLE 3













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Formulation
(a)
(c1)
(X)
(c2)
(b)
Concentration
Concentration
Value: Non-


Example
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Flammability
16.70
3.10
41.00
9.20
30.00
35.46
35.32
−0.14


Limit


Non-
16.60
3.10
41.00
9.30
30.00
35.36
35.39
0.03


Flammability


Limit










3) When x=41 mass %, r=0.25, and b=15 mass %; point (a,15,c)


With the setting of a+c=44 mass %, the non-flammability limit formulation was determined in accordance with the procedure described above. Table 4 shows the results.

















TABLE 4













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Formulation
(a)
(C1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Example
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Flammability
18.30
6.40
41.00
19.30
15.00
37.06
37.01
−0.05


Limit


Non-
18.20
6.50
41.00
19.30
15.00
36.96
37.18
0.22


Flammability


Limit










4) When x=41 mass %, r=0.25, and b=0 mass %; point Br=0.25 (a,0,c)


With the setting of a+c=59 mass %, the non-flammability limit formulation was determined in accordance with the procedure described above. Table 5 shows the results.

















TABLE 5













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Formulation
(a)
(c1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Example
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Flammability
20.00
9.80
41.00
29.20
0.00
38.76
38.71
−0.04


Limit


Non-
19.90
9.80
41.00
29.30
0.00
38.66
38.79
0.13


Flammability


Limit









The ternary composition diagram of FIG. 1 shows the results of investigation of the calculated non-flammability limit formulations. The line formed by connecting these points is ABr=0.25 of FIG. 1.


[2] Verification of the WCF non-flammability limit point determined from the non-flammability limit of the binary mixed refrigerant obtained in [1] by combustion test


A combustion test was performed in accordance with ASTM E681 described in section [1], with the following formulations:


Formulation shown in Table 2


Flammability limit formulation-1-1)


(R32/CO2/R125/R134a)=(15.1/43.9/0.0/0.0)

Non-flammability limit formulation-1-2)


(R32/CO2/R125/R134a)=(15.0/44.0/0.0/0.0)

Formulation shown Table 4


Flammability limit formulation-2-1)


(R32/CO2/R125/R134a)=(18.3/15.0/6.4/19.3)

Non-flammability limit formulation-2-2)


(R32/CO2/R125/R134a). (18.2/15.0/6.5/19.3)

In formulation-1-1) and formulation-2-1), flame propagation was observed, while in formulation 1-1-2) and formulation-2-2), flame propagation was not observed. Thus, the non-flammability limit of a mixed refrigerant determined from the non-flammability limit of a binary mixed refrigerant is considered to indicate the actual non-flammability limit.


In this specification, the non-flammability limit formulation of a mixed refrigerant determined from the non-flammability limit of a binary mixed refrigerant is taken as the WCF non-flammability limit point. Additionally, because the WCF non-flammability limit point is on line segment ABr=0.25 as shown in FIG. 1, line segment ABr=0.25 determined from two points, point A and point Br=0.25, is taken as the WCF non-flammability limit line.


The ASHRAE non-flammability (WCF non-flammability and WCFF non-flammability) means that a mixed refrigerant becomes nonflammable in the most flammable formulation of the mixed refrigerant (WCF) and in the most flammable formulation under the worst conditions (WCFF) in a test for leakage in storage and transport, a test for leakage from equipment, and a test for leakage and refill conducted based on the WCF formulation. The WCFF concentrations were determined below by performing leakage simulations under various conditions with the NIST Standard Reference Database Ref leak Version 4.0 (“Ref leak” below). The fact that the obtained WCFF formulation was at the non-flammability limit was confirmed by the method for determining the non-flammability limit of a mixed refrigerant from the non-flammability limit of a binary mixed refrigerant shown in the WCF non-flammability limit.


How to determine the ASHRAE non-flammability limit when x=41 mass % and r=0.25 is described below.


5) When x=41 mass %, r=0.25, and a=0 mass %; point Br=0.25 (0.0, b, c (c1+c2))


A test for leakage in storage and transport, a test for leakage from equipment, and a test for leakage and refill were conducted with Ref leak. The most flammable conditions were leak conditions in storage and transport, and also leakage at −40° C. Thus, the ASHRAE non-flammability limit was determined by performing the test for leakage in storage and transport at −40° C. with the Ref leak leakage simulation in accordance with the following procedure. Table 6 shows typical values indicating the limit of flammability or non-flammability in the leakage simulation. At the initial formulation of (0.0, 39.5, 19.5 (4.9+14.6)), the pressure was atmospheric pressure at −40° C. and at 52% release under transport and storage conditions. At this point, the liquid side concentration was x=67.0 mass % (0.0, 2.5, 30.5(6.1+24.4)), and was the limit of non-flammability under atmospheric pressure in the non-flammability determination described above. However, at an initial formulation of (0.0, 39.6, 19.4 (4.9+14.5)), the pressure was atmospheric pressure at −40° C. and at 52% release. At this point, the liquid side concentration was x=67.1% (0.0, 2.6, 30.3 (6.1+24.2)), and was flammable in the non-flammability determination described above. Thus, when the initial formulation takes (0.0, 39.5, 19.5 (4.9+14.6)) as the WCF formulation, both the WCF formulation and the WCFF formulation are determined to be non-flammable in calculation. Thus, (0.0, 39.5, 19.5 (4.9+14.6)) is the ASHRAE non-flammability limit formulation.

















TABLE 6













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Leakage Simulation in
(a)
(c1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Storage/Transport
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Initial Formulation
0.0
4.9
41.0
14.6
39.5
18.76
49.77
31.01


{circle around (1)} (=WCF)


Liquid Side
0.0
6.1
67.0
24.4
2.5
30.65
30.72
0.07


Formulation at −40° C.


and 52% Release


(Atmospheric Pressure


Reached) (=WCFF)


Liquid Side
0.0
6.0
67.8
24.7
1.6
31.02
30.08
−0.94


Formulation at −40° C.


and 52% Release


(Below Atmospheric


Pressure)


Initial Formulation
0.0
4.9
41.0
14.5
39.6
18.76
49.77
31.01


{circle around (2)}


Liquid Side
0.0
6.1
67.1
24.2
2.6
30.70
30.64
−0.05


Formulation at −40° C.


and 52% Release


(Atmospheric Pressure


Reached)


Liquid Side
0.0
6.0
67.3
24.5
1.7
31.02
30.01
−1.01


Formulation at −40° C.


and 52% Release


(Below Atmospheric


Pressure)










6) Point Pr=0.25 (a,b,c(c1+c2)) when GWP=750 with x=41 mass %, r=0.25, and a mass %


When X=41.0 mass %, and r=0.25, the point at which GWP=750 in a ternary composition diagram that is shown by a+b+c=100-x=59 mass % is on the straight line Cr=0.25 to Dr=0.25 that connects point Cr=0.25 (31.6, 0.0, 27.4(6.9+20.5)) and point Dr=0.25 (0.0, 20.6, 38.4(9.6+28.8)) as shown in FIG. 1. This straight line is indicated by c1=−0.085a+9.6. For Pr=0.25 (a, −0.085c1+9.6, c), which is the ASHRAE non-flammability limit at GWP=750, the initial formulation was set with this condition, and the ASHRAE non-flammability limit formulation was determined by performing −40° C. simulation under storage and transport conditions with Ref leak, as shown in Table 7.

















TABLE 7













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Leakage Simulation in
(a)
(c1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Storage/Transport
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Initial Formulation
12.8
8.5
41.0
25.5
12.0
31.56
42.95
11.39


{circle around (1)} (=WCF)


Gas Side Formulation
21.8
12.4
40.1
20.6
5.1
40.15
40.58
0.44


at −40° C. and. 38%


Release(Atmospheric


Pressure Reached)


(=WCFF)


Gas Side Formulation
21.3
12.4
41.1
21.4
3.8
40.10
40.18
0.08


at −40° C. and 40%


Release (Below


Atmospheric Pressure)


Initial Formulation
12.9
8.5
41.0
25.5
12.1
31.66
43.03
11.37


{circle around (2)}


Gas Side Formulation
21.4
12.4
41.1
21.3
3.8
40.20
40.11
−0.10


at −40° C. and 38%


Release (Atmospheric


Pressure Reached)


Gas Side Formulation
20.8
12.4
42.0
22.1
2.8
40.01
39.94
−0.07


at −40° C. and 40%


Release (Below


Atmospheric Pressure)










7) Point (a, b, c(c1+c2)) when x=41 massa, r=0.25, and a=10.0 mass %


Table 8 shows the results of the study performed in the same manner as above.

















TABLE 8













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Leakage Simulation in
(a)
(c1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Storage/Transport
wt %
wt %
v;t %
wt. %
wt %
wt %
wt %
Flammability)























Initial Formulation
10.0
7.0
41.0
20.8
21.2
28.76
43.93
15.18


{circle around (1)} (=WCF)


Gas Side Formulation
18.3
11.2
44.6
19.5
6.4
38.70
38.71
0.004


at −40° C. and 46%


Release (Atmospheric


Pressure Reached)


(=WCFF)


Gas Side Formulation
17.7
11.3
46.1
20.4
4.6
38.79
38.17
−0.62


at −40° C. and 48%


Release (Below


Atmospheric Pressure)


Initial Formulation
10.0
6.9
41.0
20.8
21.3
28.76
43.84
15.08


{circle around (2)}


Gas Side Formulation
18.3
11.1
44.6
19.5
6.5
38.70
38.61
−0.09


at −40° C. and 46%


Release (Atmospheric


Pressure Reached)


Gas Side Formulation
17.1
11.1
46.1
20.4
4.6
38.19
37.83
−0.36


at −40° C. and 48%


Release (Below


Atmospheric Pressure)










8) point (a,b,c(c1+c2)) when x=41 mass %, r=0.25, and a=5.8 mass %


Table 9 shows the results of the study performed in the same manner as above.

















TABLE 9













Non-








R32-Converted
R32-Converted
Flammability −








Flammable
Non-Flammable
Flammability



R32
R125
R1234yf
R134a
CO2
Refrigerant
Refrigerant
(Positive


Leakage Simulation in
(a)
(c1)
(x)
(c2)
(b)
Concentration
Concentration
Value: Non-


Storage/Transport
wt %
wt %
wt %
wt %
wt %
wt %
wt %
Flammability)























Initial Formulation
5.8
5.8
41.0
17.4
30.0
24.56
46.10
21.54


{circle around (1)} (=WCF)


Liquid Side
4.1
6.4
61.2
27.2
1.1
32.10
32.26
0.165


Formulation at −40° C.


and 50% Release


(Atmospherio Pressure


Reached) (=WCFF)


Liquid Side
3.8
6.2
61.7
27.5
0.8
32.03
31.92
−0.11


Formulation at −40° C.


and 52% Release


(Below Atmospheric


Pressure)


Initial Formulation
5.8
5.8
41.0
17.3
30.1
24.56
46.10
21.54


{circle around (2)}


Liquid Side
4.1
6.4
61.4
27.0
1.1
32.19
32.11
−0.08


Formulation at −40° C.


and 50% Release


(Atmospheric Pressure


Reached)


Liquid Side
3.8
6.2
61.9
27.5
0.6
32.12
31.76
−0.35


Formulation at −40° C.


and 52% Release


(Below Atmospheric


Pressure)










[2] Verification of the ASHRAE non-flammability limit point determined from the non-flammability limit of the binary mixed refrigerant obtained in [1] by combustion test


A combustion test was performed in accordance with ASTM E681 described in section [1], with the following formulations. In formulation-3-1), formulation-4-1), and formulation 5-1), flame propagation was not observed; while in formulation-3-2), formulation-4-2), and formulation-5-2), flame propagation was observed. Thus, the ASHRAE non-flammability limits shown by the calculation of Tables 6, 7, and 9 are considered to indicate the actual non-flammability limits.


Formulation 3-1)

The liquid-side formulation at −40° C. and 52% release of x=R1234yf=41.0 mass %, (R32/CO2/R125/R134a)=(0.0/39.5/4.9/14.6): x=67.0%, (R32/CO2/R125/R134a)=(0.0/2.5/6.1/24.4)


Formulation 3-2)

The liquid-side formulation at −40° C. and 52% release of x=R1234yf=41.0 mass %, (R32/CO2/R125/R134a)=(0.0/39.6/4.9/14.5): x=67.1%, (R32/CO2/R125/R134a)=(0.0/2.6/6.1/24.2) Formulation 4-1)


The gas-side formulation at −40° C. and 38% release of x=R1234yf=41.0 mass %, (R32/CO2/R125/R134a)=(12.8/12.2/8.5/25.5): x−40.1%, (R32/CO2/R125/R134a)=(21.8/5.1/12.4/20.6) Formulation 4-2)


The gas-side formulation at −40° C. and 38% release of x=R1234yf=41.0 mass %, (R32/CO2/R125/R134a)=(12.9/12.1/8.5/25.5): x=41.1%, (R32/CO2/R125/R134a)=(21.4/3.8/12.4/21.3) Formulation 5-1)


The liquid side formulation at −40° C. and 50% release of x=R1234yf=41.0 mass %, (R32/CO2/R125/R134a)=(5.8/30.0/5.8/17.4): x=61.2%, (R32/CO2/R125/R134a)=(4.1/1.1/6.4/27.2) Formulation 5-2)


the liquid side formulation at −40° C. and 50% release of x=R1234yf=41.0 mass %, (R32/CO2/R125/R134a)=(0.8/30.1/5.8/17.3): x=61.4%, (R32/CO2/R125/R134a) (4.1/10.1/6.4/27.0)



FIG. 12 shows the ASHRAE non-flammability limit points shown in Tables 6, 7, 8, and 9, and straight line Fr=0.25 to Pr=0.25 that connect point Fr=0.25 and point Pr=0.25. The ASHRAE non-flammability limit points are present on the flammable refrigerant R32 side when viewed from straight line Fr=0.25 to Pr=0.25, as shown in FIG. 12. However, taking safety factors into account, straight line Fr=0.25 to Pr=0.25 obtained by determining point Fr=0.25 and point Pr=0.25 is defined as the ASHRAE non-flammability limit line.


The WCF non-flammability limit line determined from the non-flammability limits of binary mixed refrigerants and the ASHRAE non-flammability limit line determined from the non-flammability limits of binary mixed refrigerants based on the WCFF formulations determined from the leakage simulation with Ref leak individually matched their actual non-flammability limit lines. Thus, individual non-flammability limits are determined by this method below. Line segment ABr is defined as the WCF non-flammability limit line, and line segment FrPr is defined as the ASHRAE non-flammability limit line.


Tables 10 to 13 show the WCF non-flammability limit points of mixed refrigerants determined from the non-flammability limit of binary mixed refrigerants. Tables 14 to 17 show the ASHRAE non-flammability limit points determined from the leakage simulation and the non-flammability limits of binary mixed refrigerants.
















TABLE 10







Comparative
Comparative
Comparative
Comparative
Comparative
Comparative




Example 2
Example 3
Example 7
Example 11
Example 15
Example 19


Item
Unit
A
Br=0.25
Br=0.375
Br=0.5
Br=0.75
Br=1.0























WCF
R32
mass %
15.0
19.9
22.1
24.1
27.4
30.2


Concen-
CO2
mass %
44.0
0.0
0.0
0.0
0.0
0.0


tration
R125
mass %
0.0
9.8
13.8
17.5
23.7
28.8



R134a
mass %
0.0
29.3
23.1
17.4
7.9
0.0



R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0













Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable
flammable























TABLE 11







Comparative
Comparative
Comparative
Comparative
Comparative
Comparative




Example 23
Example 24
Example 28
Example 32
Example 36
Example 40


Item
Unit
A
Br=0.25
Br=0.375
Br=0.5
Br=0.75
Br=1.0























WCF
R32
mass %
13.1
17.9
20.0
21.9
25.2
27.9


Concen-
CO2
mass %
43.1
0.0
0.0
0.0
0.0
0.0


tration
R125
mass %
0.0
9.6
13.6
17.2
23.3
28.3



R134a
mass %
0.0
28.7
22.6
17.1
7.7
0.0



R1234yf
mass %
43.8
43.8
43.8
43.8
43.8
43.8













Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable
flammable

























TABLE 12







Comparative
Comparative
Comparative
Comparative
Comparative
Comparative
Comparative
Comparative




Example 44
Example 45
Example 49
Example 53
Example 57
Example 61
Example 65
Example 69


Item
Unit
A
Br=0.25
Br=0.375
Br=0.5
Br=0.75
Br=1.0
Br=0.31
Br=0.37

























WCF
R32
mass %
11.2
15.9
16.9
17.9
18.0
19.9
23.1
25.8


Concen-
CO2
mass %
42.3
0.0
0.0
0.0
0.0
0.0
0.0
0.0


tration
R125
mass %
0.0
9.4
11.3
13.2
13.3
16.8
22.8
27.7



R134a
mass %
0.0
28.2
25.3
22.4
22.2
16.8
7.6
0.0



R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5
46.5
46.5















Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable
flammable
flammable
flammable

























TABLE 13







Comparative
Comparative
Comparative
Comparative
Comparative
Comparative
Comparative
Comparative




Example 73
Example 74
Example 78
Example 82
Example 86
Example 90
Example 94
Example 98


Item
Unit
A
Br=0.25
Br=0.375
Br=0.5
Br=0.75
Br=1.0
Br=0.31
Br=0.37

























WCF
R32
mass %
8.8
13.4
14.4
15.3
15.4
17.3
20.4
23.0


Concen-
CO2
mass %
41.2
0.0
0.0
0.0
0.0
0.0
0.0
0.0


tration
R125
mass %
0.0
9.2
11.0
12.8
13.0
16.4
22.2
27.0



R134a
mass %
0.0
27.4
24.6
21.9
21.6
16.3
7.4
0.0



R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0
50.0
50.0















Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
f1ammable
f1ammable
flammable
flammable
flammable






















TABLE 14









Comp.

Comp.

Comp.




Ex. 6
Example 2
Ex. 10
Example 4
Ex. 14


Item
Unit
Fr=0.25
Pr=0.25
Fr=0.375
Pr=0.375
Fr=0.5

















WCF
R32
mass %
0.0
12.8
0.0
14.3
0.0


Concen-
CO2
mass %
39.5
12.2
40.5
15.2
41.2


tration
R125
mass %
4.9
8.5
6.9
11.1
8.9



R134a
mass %
14.6
25.5
11.6
18.4
8.9



R1234yf
mass %
41.0
41.0
41.0
41.0
41.0












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



52% Leak,
38% Leak,
54% Leak,
48% Leak,
56% Leak,



Liquid Please
Gas Phase
Liquid Phase
Gas Phase
Liquid Phase














WCFF
R32
mass %
0.0
21.8
0.0
22.1
0.0


Concen-
CO2
mass %
2.5
5.1
2.3
2.6
1.9


tration
R125
mass %
6.1
12.4
8.7
16.0
11.3



R134a
mass %
24.4
20.6
19.9
16.6
15.7



R1234yf
mass %
67.0
40.1
69.1
42.7
71.1












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable



















Comp.

Comp.





Example 6
Ex. 18
Example 3
Ex. 22
Example 10


Item
Unit
Pr=0.5
Fr=0.75
Pr=0.75
Fr=1.0
Pr=1.0

















WCF
R32
mass %
15.4
0.0
11.4
0.0
7.7


Concen-
CO2
mass %
17.4
42.6
25.1
43.1
31.5


tration
R125
mass %
13.1
12.3
16.9
15.9
19.8



R134a
mass %
13.1
4.1
5.6
0.0
0.0



R1234yf
mass %
41.0
41.0
41.0
41.0
41.0












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage,/
Storage./
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



56% Leak,
58% Leak,
62% Leak,
62% Leak,
64% Leak,



Gas Phase
Liquid Phase
Liquid Phase
Liquid Phase
Liquid Phase














WCFF
R32
mass %
21.5
0.0
16.2
0.0
12.1


Concen-
CO2
mass %
1.3
2.0
1.5
1.2
2.6


tration
R125
mass %
18.7
16.2
26.3
20.5
33.7



R134a
mass %
13.2
7.5
6.5
0.0
0.0



R1234yf
mass %
45.3
74.3
49.5
78.3
51.6












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable





Note:


Comp. Ex. denotes “Comparative Example.”



















TABLE 15









Comp.

Comp.

Comp.




Ex. 27
Example 12
Ex. 31
Example 14
Ex. 35


Item
Unit
Fr=0.25
Pr=0.25
Fr=0.375
Pr=0.375
Fr=0.5

















WCF
R32
mass %
0.0
12.0
0.0
13.6
0.0


Concen-
CO2
mass %
35.4
10.1
36.6
12.9
37.4


tration
R125
mass %
5.2
8.5
7.4
11.2
9.4



R134a
mass %
15.6
25.6
12.2
18.5
9.4



R1234yf
mass %
43.8
43.8
43.8
43.8
43.8












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



48% Leak,
36% Leak,
50% Leak,
44% Leak,
52% Leak,



Liquid Phase
Gas Phase
Liquid Phase
Gas Phase
Liquid Phase














WCFF
R32
mass %
0.0
20.5
0.0
21.5
0.0


Concen-
CO2
mass %
2.4
4.3
2.3
3.0
2.1


tration
R125
mass %
6.2
12.3
8.9
16.0
11.4



R134a
mass %
24.3
20.7
19.6
15.9
15.4



R1234yf
mass %
67.1
42.2
69.2
43.6
71.1












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable



















Comp.

Comp.





Example 16
Ex. 39
Example 18
Ex. 43
Example 20


Item
Unit
Pr=0.5
Fr=0.75
Pr=0.75
Fr=1.0
Pr=1.0

















WCF
R32
mass %
14.7
0.0
9.9
0.0
6.6


Concen-
CO2
mass %
15.1
38.5
23.5
40.0
29.6


tration
R125
mass %
13.2
13.3
17.1
16.2
20.0



R134a
mass %
13.2
4.4
5.7
0.0
0.0



R1234yf
mass %
43.8
43.8
43.8
43.8
43.8












Non-Flammability Determination
Non-
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



52% Leak,
56% Leak,
56% Leak,
58% Leak,
60% Leak,



Gas Phase
Liquid Phase
GasPhase
Liquid Phase
Liquid Phase














WCFF
R32
mass %
21.1
0.0
5.4
0.0
3.5


Concen-
CO2
mass %
1.6
1.4
0.4
1.5
0.4


tration
R125
mass %
18.7
16.2
17.4
20.3
21.8



R134a
mass %
12.6
7.6
9.3
0.0
0.0



R1234yf
mass %
46.0
74.8
67.5
78.2
74.3












Non-Flammability Determination
Non-
Non -
Non-
Non-
Non-



flammable
flammable
flammable
flammable
flammable





















TABLE 16









Comparative

Comparative





Example 48
Example 22
Example 52
Example 24


Item
Unit
Fr=0.25
Pr=0.25
Fr=0.375
Pr=0.375
















WCF
R32
mass %
0.0
11.3
0.0
12.8


Concen-
CO2
mass %
31.5
7.8
32.3
10.7


tration
R125
mass %
5.5
8.6
8.2
11.3



R134a
mass %
16.5
25.8
13.0
18.7



R1234yf
mass %
46.5
46.5
46.5
46.5











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



44% Leak,
32% Leak,
46% Leak,
40% Leak,



Liquid Phase
Gas Phase
Liquid Phase
Gas Phase













WCFF
R32
mass %
0.0
19.7
0.0
20.8


Concen-
CO2
mass %
2.5
4.5
2.2
3.4


tration
R125
mass %
6.2
12.4
9.4
15.9



R134a
mass %
24.2
20.2
19.5
15.5



R1234yf
mass %
67.1
43.2
68.9
44.4











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
f1ammab1e
flammable
flammable


















Comparative

Comparative





Example 56
Example 26
Example 60



Item
Unit
Fr=0.5
Pr=0.5
Fr=0.75


















WCF
R32
mass %
0.0
13.1
0.0



Concen-
CO2
mass %
33.5
13.6
35.3



tration
R125
mass %
10.0
13.4
13.7




R134a
mass %
10.9
13.4
4.5




R1234yf
mass %
46.5
46.5
46.5












Non-Flammability Determination
Non-
Non-
Non-




f1ammab1e
flammable
flammable



Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/




Transport −40° C.,
Transport −40° C.,
Transport −40° C.,




48% Leak,
48% Leak,
52% Leak,




Liquid Phase
Liquid Phase
Liquid Phase














WCFF
R32
mass %
0.0
7.1
0.0



Concen-
CO2
mass %
2.1
0.3
1.7



tration
R125
mass %
11.6
12.2
16.2




R134a
mass %
15.4
19.0
7.3




R1234yf
mass %
70.9
61.4
74.8












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable



















Comparative

Comparative




Example 28
Example 64
Example 30
Example 68


Item
Unit
Pr=0.75
Fr=1.0
Pr=1.0
Fr=0.31
















WCF
R32
mass %
8.7
0.0
5.9
0.0


Concen-
CO2
mass %
21.7
35.9
27.4
31.7


tration
R125
mass %
17.3
17.6
20.2
6.8



R134a
mass %
5.8
0.0
0.0
15.0



R1234yf
mass %
46.5
46.5
46.5
46.5











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
f1ammab1e
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



52% Leak,
54% Leak,
56% Leak,
44% Leak,



Liquid Phase
Liquid Phase
Liquid Phase
Liquid Phase













WCFF
R32
mass %
4.9
0.0
3.2
0.0


Concen-
CO2
mass %
0.5
1.6
0.6
1.9


tration
R125
mass %
17.4
21.1
21.7
7.6



R134a
mass %
8.9
0.0
0.0
22.3



R1234yf
mass %
68.3
77.3
74.5
68.2











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
f1ammab1e
flammable
flammable



















Comparative






Example 32
Example 72
Example 34



Item
Unit
Pr=0.31
Fr=0.37
Pr=0.37


















WCF
R32
mass %
12.2
0.0
12.8



Concen-
CO2
mass %
9.2
32.5
10.7



tration
R125
mass %
10.0
7.8
11.1




R134a
mass %
22.1
13.2
18.9




R1234yf
mass %
46.5
46.5
46.5












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable



Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/




Transport −40° C.,
Transport −40° C.,
Transport −40° C.,




36% Leak,
46% Leak,
40% Leak,




Gas Phase
Liquid Phase
Gas Phase














WCFF
R32
mass %
20.5
0.0
20.8



Concen-
CO2
mass %
3.9
2.3
3.3



tration
R125
mass %
14.2
9.0
15.7




R134a
mass %
17.7
19.8
15.7




R1234yf
mass %
43.7
68.9
44.5












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable






















TABLE 17









Comparative

Comparative





Example 77
Example 36
Example 81
Example 38


Item
Unit
Fr=0.25
Pr=0.25
Fr=0.375
Pr=0.375
















WCF
R32
mass %
0.0
10.5
0.0
11.9


Concen-
CO2
mass %
26.1
4.7
27.6
8.0


tration
R125
mass %
6.0
8.7
8.5
11.3



R134a
mass %
17.9
26.1
13.9
18.8



R1234yf
mass %
50.0
50.0
50.0
50.0











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
f1ammab1e
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



40% Leak,
32% Leak,
42% Leak,
36% Leak,



Liquid Phase
Gas Phase
Liquid Phase
Gas Phase













WCFF
R32
mass %
0
17.3
0
19.7


Concen-
CO2
mass %
2
2.4
1.9
3.2


tration
R125
mass %
6.4
12.3
9.2
15.9



R134a
mass %
24.4
21.3
19.5
15.1



R1234yf
mass %
67.2
46.7
69.4
46.1











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
f1ammab1e
flammable
flammable


















Comparative

Comparative





Example 85
Example 40
Example 89



Item
Unit
Fr=0.5
Pr=0.5
Fr=0.75


















WCF
R32
mass %
0.0
10.8
0.0



Concen-
CO2
mass %
28.8
11.8
30.4



tration
R125
mass %
10.6
13.7
14.7




R134a
mass %
10.6
13.7
4.9




R1234yf
mass %
50.0
50.0
50.0












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable



Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/'




Transport −40° C.,
Transport −40° C.,
Transport. −40° C.,




44% Leak,
42% Leak,
48% Leak,




Liquid Phase
Liquid Phase
Liquid Phase














WCFF
R32
mass %
0
6.1
0



Concen-
CO2
mass %
1.8
0.4
1.5



tration
R125
mass %
11.6
12.4
16.2




R134a
mass %
15.3
18.2
7.4




R1234yf
mass %
71.3
62.9
74.9












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable



















Comparative

Comparative




Example 42
Example 93
Example 44
Example 97


Item
Unit
Pr=0.75
Fr=1.0
Pr=1.0
Fr=0.31
















WCF
R32
mass %
7.3
0.0
3.9
0.0


Concen-
CO2
mass %
19.3
31.8
25.5
27.0


tration
R125
mass %
17.6
18.2
20.6
7.3



R134a
mass %
5.8
0.0
0.0
15.7



R1234yf
mass %
50.0
50.0
50.0
50.0











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable


Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/
Storage/



Transport −40° C.,
Transport −40° C.,
Transport −40° C.,
Transport −40° C.,



48% Leak,
50% Leak,
52% Leak,
40% Leak,



Liquid Phase
Liquid Phase
Liquid Phase
Liquid Phase













WCFF
R32
mass %
4
0
2.1
0


Concen-
CO2
mass %
0.5
1.6
0.7
2.3


tration
R125
mass %
17.2
20.7
21.5
7.9



R134a
mass %
8.4
0
0
21.7



R1234yf
mass %
69.9
77.7
75.7
68.2











Non-Flammability Determination
Non-
Non-
Non-
Non-



flammable
flammable
flammable
flammable



















Comparative






Example 46
Example 101
Example 48



Item
Unit
Pr=0.31
Fr=0.37
Pr=0.37


















WCF
R32
mass %
11.2
0.0
11.9



Concen-
CO2
mass %
6.5
27.6
7.7



tration
R125
mass %
10.0
8.5
11.2




R134a
mass %
22.3
13.9
19.2




R1234yf
mass %
50.0
50.0
50.0












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable



Leakage Conditions That Lead to WCFF
Storage/
Storage/
Storage/




Transport −40° C.,
Transport −40° C.,
Transport −40° C.,




38% Leak,
42% Leak,
34% Leak,




Gas Phase
Liquid Phase
Gas Phase














WCFF
R32
mass %
17.2
0
20.2



Concen-
CO2
mass %
1.7
1.9
3.9



tration
R125
mass %
14
9.2
15.7




R134a
mass %
19
19.5
15




R1234yf
mass %
48.1
69.4
45.2












Non-Flammability Determination
Non-
Non-
Non-




flammable
flammable
flammable










Examples 1 to 222 and Comparative Examples 1 to 206

The GWP of compositions each containing R410A and a mixture of R32, R125, R1234yf, R134a, and CO2 was evaluated based on the values stated in the Fourth Assessment Report of the Intergovernmental Panel on Climate Change (IPCC). The refrigerating capacity of compositions each containing R410A and a mixture of R410A, R32, R125, R1234yf, R134a, and CO2 was determined by performing theoretical refrigeration cycle calculations for the mixed refrigerants using the National Institute of Science and Technology (NIST) and Reference Fluid Thermodynamic and Transport Properties Database (Refprop 9.0) under the following conditions.


Evaporating temperature: −10° C.


Condensation temperature: 45° C.


Superheating temperature: 20K


Subcooling temperature: 5K


Compressor efficiency: 70%


Tables 18 to 30 show GWP, COP, refrigerating capacity, and condensation glide (condensation temperature glide), which were calculated based on these results. The COP and refrigerating capacity are percentages relative to R410A.


The coefficient of performance (COP) was determined by the following formula.





COP=(refrigerating capacity or heating capacity)/power consumption









TABLE 18







41% R1234yf, r = 0.25



















Comparative
Comparative
Comparative
Comparative
Comparative






Comparative
Example 2
Example 3
Example 4
Example 5
Example 6
Example 1
Example 2


Item
Unit
Example 1
A
Br=0.25
Cr=0.25
Dr=0.25
Fr=0.25
Or=0.25
Pr=0.25





R32
mass %
R410A
15.0
19.9
31.6
0.0
0.0
19.0
12.8


CO2
mass %

44.0
0.0
0.0
20.6
39.5
8.2
12.2


R125
mass %

0.0
9.8
6.9
9.6
4.9
7.9
8.5


R134a
mass %

0.0
29.3
20.5
28.8
14.6
23.9
25.5


R1234yf
mass %

41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

2088
103
898
750
750
382
750
750


COP Ratio
% (relative to
100
87.6
104.7
103.8
98.6
92.0
101.0
100.0



R410A)


Refrigerating
% (relative to
100
157.7
63.8
72.8
94.9
139.9
80.6
84.9


Capacity Ratio
R410A)


Condensation
° C.
0.1
17.6
4.9
4.5
25.5
25.0
13.2
17.3


Glide










41% R1234yf, r = 0.375
















Comparative
Comparative
Comparative
Comparative






Example 7
Example 8
Example 9
Example 10
Example 3
Example 4


Item
Unit
Br=0.375
Cr=0.375
Dr=0.375
Fr=0.375
Or=0.375
Pr=0.375





R32
mass %
22.1
36.2
0.0
0.0
20.3
14.3


CO2
mass %
0.0
0.0
25.1
40.5
11.0
15.2


R125
mass %
13.8
8.6
12.7
6.9
10.4
11.1


R134a
mass %
23.1
14.2
21.2
11.6
17.3
18.4


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0


GWP

964
750
750
409
750
750


COP Ratio
% (relative to
104.0
103.2
96.9
91.1
99.5
98.5



R410A)


Refrigerating
% (relative to
67.0
77.1
107.4
142.7
89.2
94.3


Capacity Ratio
R410A)


Condensation
° C.
4.8
4.0
25.6
24.3
14.2
17.8


Glide










41% R1234yf, r = 0.5
















Comparative
Comparative
Comparative
Comparative






Example 11
Example 12
Example 13
Examp1e 14
Example 5
Example 6


Item
Unit
Br=0.5
Cr=0.5
Dr=0.5
Fr=0.5
Or=0.5
Pr=0.5





R32
mass %
24.1
39.5
0.0
0.0
21.4
15.4


CO2
mass %
0.0
0.0
28.7
41.2
13.2
17.4


R125
mass %
17.5
9.8
15.2
8.9
12.2
13.1


R134a
mass %
17.4
9.7
15.1
8.9
12.2
13.1


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0


GWP

1026
750
750
441
750
750


COP Ratio
% (relative to
103.4
102.7
95.2
90.3
98.3
97.3



R410A)


Refrigerating
% (relative to
70.0
80.2
117.3
144.8
95.9
101.3


Capacity Ratio
R410A)


Condensation
° C.
4.6
3.6
25.0
23.6
14.6
17.8


Glide










41% R1234yf, r = 0.75
















Comparative
Comparative
Comparative
Comparative






Example 15
Example 16
Example 17
Example 18
Example 7
Example 8


Item
Unit
Br=0.75
Cr=0.75
Dr=0.75
Fr=0.75
Or=0.75
Pr=0.75





R32
mass %
27.4
43.9
0.0
0.0
22.8
11.4


CO2
mass %
0.0
0.0
33.9
42.6
16.3
25.1


R125
mass %
23.7
11.3
18.8
12.3
14.9
16.9


R134a
mass %
7.9
3.8
6.3
4.1
5.0
5.6


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0


GWP

1129
750
750
491
750
750


COP Ratio
% (relative to
102.4
102.2
92.2
88.8
96.6
94.3



R410A)


Refrigerating
% (relative to
75.1
84.4
131.0
148.8
105.5
118.1


Capacity Ratio
R410A)


Condensation
° C.
4.0
2.9
23.4
22.2
14.6
19.4


Glide










41% R1234yf, r = 1.0
















Comparative
Comparative
Comparative
Comparative






Example 19
Example 20
Example 21
Example 22
Example 9
Example 10


Item
Unit
Br=1.0
Cr=1.0
Dr=1.0
Fr=1.0
Or=1.0
Pr=1.0





R32
mass %
30.2
46.7
0.0
0.0
23.8
7.7


CO2
mass %
0.0
0.0
37.7
43.1
18.5
31.5


R125
mass %
28.8
12.3
21.3
15.9
16.7
19.8


R134a
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0


GWP

1213
750
750
559
750
750


COP Ratio
% (relative to
101.5
101.9
89.7
87.8
95.4
91.6



R410A)


Refrigerating
% (relative to
79.5
87.1
140.5
150.9
112.3
131.4


Capacity Ratio
R410A)


Condensation
° C.
3.4
2.5
21.8
21.2
14.2
19.8


Glide
















TABLE 19







43.8% R1234yf, r = 0.25

















Comparative
Comparative
Comparative
Comparative
Comparative






Example 23
Example 24
Example 25
Example 26
Example 27
Example 11
Example 12


Item
Unit
A
Br=0.25
Cr=0.25
Dr=0.25
Fr=0.25
Or=0.25
Pr=0.25





R32
mass %
13.1
17.9
27.3
0.0
0.0
17.1
12.0


CO2
mass %
43.1
0.0
0.0
17.8
35.4
6.7
10.1


R125
mass %
0.0
9.6
7.2
9.6
5.2
8.1
8.5


R134a
mass %
0.0
28.7
21.7
28.8
15.6
24.3
25.6


R1234yf
mass %
43.8
43.8
43.8
43.8
43.8
43.8
43.8


GWP

91
869
750
750
407
750
750


COP Ratio
% (relative to
88.4
104.8
104.1
99.4
94.0
101.8
100.8



R410A)


Refrigerating
% (relative to
154.6
62.2
69.6
87.7
130.7
75.7
79.3


Capacity Ratio
R410A)


Condensation
° C.
18.9
5.0
4.8
24.7
26.3
12.3
16.2


Glide










43.8% R1234yf, r = 0.375
















Comparative
Comparative
Comparative
Comparative






Example 28
Example 29
Example 30
Example 31
Example 13
Example 14


Item
Unit
Br=0.375
Cr=0.375
Dr=0.375
Fr=0.375
Or=0.375
Pr=0.375





R32
mass %
20.0
32.1
0.0
0.0
18.5
13.6


CO2
mass %
0.0
0.0
22.3
36.6
9.4
12.9


R125
mass %
13.6
9.0
12.7
7.4
10.6
11.2


R134a
mass %
22.6
15.1
21.2
12.2
17.7
18.5


R1234yf
mass %
43.8
43.8
43.8
43.8
43.8
43.8


GWP

936
750
750
436
750
750


COP Ratio
% (relative to
104.2
103.4
97.8
93.1
100.3
99.4



R410A)


Refrigerating
% (relative to
65.3
74.2
100.3
134.1
84.1
88.3


Capacity Ratio
R410A)


Condensation
° C.
4.9
4.4
25.5
25.6
13.8
17.1


Glide










43.8% R1234yf, r = 0.5
















Comparative
Comparative
Comparative
Comparative






Example 32
Example 33
Example 34
Example 35
Example 15
Example 16


Item
Unit
Br=0.5
Cr=0.5
Dr=0.5
Fr=0.5
Or=0.5
Pr=0.5





R32
mass %
21.9
35.6
0.0
0.0
19.5
14.7


CO2
mass %
0.0
0.0
25.9
37.4
11.7
15.1


R125
mass %
17.2
10.3
15.2
9.4
12.5
13.2


R134a
mass %
17.1
10.3
15.1
9.4
12.5
13.2


R1234yf
mass %
43.8
43.8
43.8
43.8
43.8
43.8


GWP

996
750
750
466
750
750


COP Ratio
% (relative to
103.6
102.9
96.3
92.3
99.0
98.2



R410A)


Refrigerating
% (relative to
68.2
77.6
110.3
136.6
91.0
95.3


Capacity Ratio
R410A)


Condensation
° C.
4.8
3.9
25.4
24.9
14.5
17.4


Glide










43.8% R1234yf, r = 0.75
















Comparative
Comparative
Comparative
Comparative






Example 36
Example 37
Example 38
Example 39
Example 17
Example 18


Item
Unit
Br=0.75
Cr=0.75
Dr=0.75
Fr=0.75
Or=0.75
Pr=0.75





R32
mass %
25.2
40.3
0.0
0.0
21.0
9.9


CO2
mass %
0.0
0.0
31.2
38.5
14.9
23.5


R125
mass %
23.3
11.9
18.8
13.3
15.2
17.1


R134a
mass %
7.7
4.0
6.2
4.4
5.1
5.7


R1234yf
mass %
43.8
43.8
43.8
43.8
43.8
43.8


GWP

1097
750
750
531
750
750


COP Ratio
% (relative to
102.5
102.3
93.6
91.0
97.3
95.2



R410A)


Refrigerating
% (relative to
73.2
82.0
124.6
140.2
100.9
113.1


Capacity Ratio
R410A)


Condensation
° C.
4.3
3.3
24.3
23.7
14.8
20.2


Glide










43.8% R1234yf, r = 1.0
















Comparative
Comparative
Comparative
Comparative






Example 40
Example 41
Example 42
Example 43
Example 19
Example 20


Item
Unit
Br=1.0
Cr=1.0
Dr=1.0
Fr=1.0
Or=1.0
Pr=1.0





R32
mass %
27.9
43.2
0.0
0.0
22.0
6.6


CO2
mass %
0.0
0.0
34.9
40.0
17.3
29.6


R125
mass %
28.3
13.0
21.3
16.2
17.1
20.0


R134a
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R1234yf
mass %
43.8
43.8
43.8
43.8
43.8
43.8


GWP

1181
748
748
569
750
750


COP Ratio
% (relative to
101.6
101.9
91.4
89.7
96.1
92.7



R410A)


Refrigerating
% (relative to
77.4
84.8
134.2
144.4
107.7
126.2


Capacity Ratio
R410A)


Condensation
° C.
3.7
2.8
23.0
22.6
14.6
20.8


Glide
















TABLE 20







46.5% R1234yf, r = 0.25

















Comparative
Comparative
Comparative
Comparative
Comparative






Example 44
Example 45
Example 46
Example 47
Example 48
Example 21
Example 22


item
Unit
A
Br=0.25
Cr=0.25
Dr=0.25
Fr=0.25
Or=0.25
Pr=0.25





R32
mass %
11.2
15.9
23.1
0.0
0.0
15.3
11.3


CO2
mass %
42.3
0.0
0.0
15.1
31.5
5.1
7.8


R125
mass %
0.0
9.4
7.6
9.6
5.5
8.3
8.6


R134a
mass %
0.0
28.2
22.8
28.8
16.5
24.8
25.8


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5
46.5


GWP

78
841
750
750
431
750
750


COP Ratio
% (relative to
89.1
104.9
104.3
100.0
95.7
102.5
101.7



R410A)


Refrigerating
% (relative to
151.8
60.5
66.3
80.7
121.5
70.7
73.3


Capacity Ratio
R410A)


Condensation
° C.
20.2
5.0
5.0
23.4
27.2
11.1
14.4


Glide










46.5% R1234yf, r = 0.375
















Comparative
Comparative
Comparative
Comparative






Example 49
Example 50
Example 51
Example 52
Example 23
Example 24


Item
Unit
Br=0.375
Cr=0.375
Dr=0.375
Fr=0.375
Or=0.375
Pr=0.375





R32
mass %
18.0
28.3
0.0
0.0
16.7
12.8


CO2
mass %
0.0
0.0
19.6
32.3
8.0
10.7


R125
mass %
13.3
9.5
12.7
8.2
10.8
11.3


R134a
mass %
22.2
15.7
21.2
13.0
18.0
18.7


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5


GWP

906
750
750
475
750
750


COP Ratio
% (relative to
104.3
103.6
98.6
95.0
100.9
100.2



R410A)


Refrigerating
% (relative to
63.6
71.4
93.3
124.3
79.4
82.4


Capacity Ratio
R410A)


Condensation
° C.
5.0
4.7
25.0
26.5
13.2
16.1


Glide










46.5% R1234yf, r = 0.5
















Comparative
Comparative
Comparative
Comparative






Example 53
Example 54
Example 55
Example 56
Example 25
Example 26


Item
Unit
Br=0.5
Cr=0.5
Dr=0.5
Fr=0.5
Or=0.5
Pr=0.5





R32
mass %
19.9
31.9
0.0
0.0
17.3
13.1


CO2
mass %
0.0
0.0
23.2
33.1
10.6
13.6


R125
mass %
16.8
10.8
15.2
10.2
12.8
13.4


R134a
mass %
16.8
10.8
15.1
10.2
12.8
13.4


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5


GWP

964
750
750
505
750
750


COP Ratio
% (relative to
103.7
103.1
97.3
94.3
99.6
98.9



R410A)


Refrigerating
% (relative to
66.4
74.9
103.4
126.8
86.7
90.4


Capacity Ratio
R410A)


Condensation
° C.
4.9
4.3
25.4
26.0
14.5
17.3


Glide










46.5% R1234yf, r = 0.75
















Comparative
Comparative
Comparative
Comparative






Example 57
Example 58
Example 59
Example 60
Example 27
Example 28


Item
Unit
Br=0.75
Cr=0.75
Dr=0.75
Fr=0.75
Or=0.75
Pr=0.75





R32
mass %
23.1
36.8
0.0
0.0
19.3
8.7


CO2
mass %
0.0
0.0
28.5
35.3
13.5
21.7


R125
mass %
22.8
12.5
18.8
13.7
15.5
17.3


R134a
mass %
7.6
4.2
6.2
4.5
5.2
5.8


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5


GWP

1064
750
750
546
750
750


COP Ratio
% (relative to
102.7
102.4
94.9
92.7
97.9
96.1



R410A)


Refrigerating
% (relative to
71.3
79.6
118.0
133.0
96.3
107.8


Capacity Ratio
R410A)


Condensation
° C.
4.6
3.7
24.9
24.8
14.9
20.7


Glide










46.5% R1234yf, r = 1.0
















Comparative
Comparative
Comparative
Comparative






Example 61
Example 62
Example 63
Example 64
Example 29
Example 30


Item
Unit
Br=1.0
Cr=1.0
Dr=1.0
Fr=1.0
Or=1.0
Pr=1.0





R32
mass %
25.8
39.8
0.0
0.0
20.4
5.9


CO2
mass %
0.0
0.0
32.2
35.9
15.7
27.4


R125
mass %
27.7
13.7
21.3
17.6
17.4
20.2


R134a
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5


GWP

1146
750
750
618
750
750


COP Ratio
% (relative to
101.8
102.0
92.8
91.7
96.7
93.9



R410A)


Refrigerating
% (relative to
75.4
82.6
127.8
135.5
103.2
120.4


Capacity Ratio
R410A)


Condensation
° C.
4.1
3.2
23.9
23.9
14.8
21.6


Glide
















TABLE 21







46.5% R1234yf, r = 0.31
















Comparative
Comparative
Comparative
Comparative






Example 65
Example 66
Example 67
Example 68
Example 31
Example 32


Item
Unit
Br=0.31
Cr=0.31
Dr=0.31
Fr=0.31
Or=0.31
Pr=0.31





R32
mass %
16.9
25.9
0.0
0.0
16.0
12.2


CO2
mass %
0.0
0.0
17.5
31.6
6.6
9.2


R125
mass %
11.3
8.6
11.2
5.5
9.6
10.0


R134a
mass %
25.3
19.0
24.8
16.4
21.3
22.1


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5


GWP

873
750
750
429
750
750


COP Ratio
% (relative to
104.6
103.9
99.3
95.7
101.7
100.9



R410A)


Refrigerating
% (relative to
61.9
69.1
87.4
121.8
75.1
77.9


Capacity Ratio
R410A)


Condensetion
° C.
5.0
4.9
24.4
27.1
12.3
15.3


Glide










46.5% R1234yf, r = 0.37
















Comparative
Comparative
Comparative
Comparative






Example 69
Example 70
Example 71
Example 72
Example 33
Example 34


Item
Unit
Br=0.37
Cr=0.37
Dr=0.37
Fr=0.37
Or=0.37
Pr=0.37





R32
mass %
17.9
28.0
0.0
0.0
16.6
12.8


CO2
mass %
0.0
0.0
19.5
31.7
8.0
10.7


R125
mass %
13.2
9.4
12.6
6.8
10.7
11.1


R134a
mass %
22.4
16.1
21.4
15.0
18.2
18.9


R1234yf
mass %
46.5
46.5
46.5
46.5
46.5
46.5


GWP

905
750
750
455
750
750


COP Ratio
% (relative to
104.3
103.6
98.6
95.5
101.0
100.2



R410A)


Refrigerating
% (relative to
63.4
71.1
93.0
122.4
79.3
82.3


Capacity Ratio
R410A)


Condensation
° C.
5.0
4.7
25.0
26.9
13.2
16.1


Glide
















TABLE 22







50% R1234yf, r = 0.25

















Comparative
Comparative
Comparative
Comparative
Comparative






Example 73
Example 74
Example 75
Example 76
Example 77
Example 35
Example 36


Item
Unit
A
Br=0.25
Cr=0.25
Dr=0.25
Fr=0.25
Or=0.25
Pr=0.25





R32
mass %
8.8
13.4
17.9
0.0
0.0
13.0
10.5


CO2
mass %
41.2
0.0
0.0
11.6
26.1
3.1
4.7


R125
mass %
0.0
9.2
8.0
9.6
6.0
8.5
8.7


R134a
mass %
0.0
27.4
24.1
28.8
17.9
25.4
26.1


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0
50.0


GWP

62
806
750
750
468
750
750


COP Ratio
% (relative to
90.3
105.0
104.7
100.9
97.7
103.5
102.9



R410A)


Refrigerating
% (relative to
148.0
58.3
62.1
71.8
108.2
64.3
65.5


Capacity Ratio
R410A)


Condensation
° C.
22.0
4.9
5.1
20.7
27.5
9.1
11.2


Glide










50% R1234yf, r = 0.375
















Comparative
Comparative
Comparative
Comparative






Example 78
Example 79
Example 80
Example 81
Example 37
Example 38


Item
Unit
Br=0.375
Cr=0.375
Dr=0.375
Fr=0.375
Or=0.375
Pr=0.375





R32
mass %
15.4
23.3
0.0
0.0
14.4
11.9


CO2
mass %
0.0
0.0
16.1
27.6
6.1
8.0


R125
mass %
13.0
10.0
12.7
8.5
11.1
11.3


R134a
mass %
21.6
16.7
21.2
13.9
18.4
18.8


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0


GWP

870
750
750
499
750
750


COP Ratio
% (relative to
104.4
103.9
99.5
96.8
101.8
101.3



R410A)


Refrigerating
% (relative to
61.2
67.5
84.1
112.7
73.1
75.2


Capacity Ratio
R410A)


Condensation
° C.
5.1
5.0
23.7
27.2
12.1
14.3


Glide
















TABLE 23







50% R1234yf, r = 0.5
















Comparative
Comparative
Comparative
Comparative






Example 82
Example 83
Example 84
Example 85
Example 39
Example 40


Item
Unit
Br=0.5
Cr=0.5
Dr=0.5
Fr=0.5
Or=0.5
Pr=0.5





R32
mass %
17.2
27.2
0.0
0.0
15.5
10.8


CO2
mass %
0.0
0.0
19.8
28.8
8.5
11.8


R125
mass %
16.4
11.4
15.1
10.6
13.0
13.7


R134a
mass %
16.4
11.4
15.1
10.6
13.0
13.7


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0


GWP

926
748
747
525
748
750


COP Ratio
% (relative to
103.9
103.3
98.3
96.1
100.6
99.7



R410A)


Refrigerating
% (relative to
63.9
71.4
94.5
116.4
80.3
84.1


Capacity Ratio
R410A)


Condensetion
° C.
5.1
4.8
25.0
26.8
13.7
17.2


Glide










50% R1234yf, r = 0.75
















Comparative
Comparative
Comparative
Comparative






Example 86
Example 87
Example 88
Example 89
Example 41
Example 42


Item
Unit
Br=0.75
Cr=0.75
Dr=0.75
Fr=0.75
Or=0.75
Pr=0.75





R32
mass %
20.4
32.3
0.0
0.0
17.1
7.3


CO2
mass %
0.0
0.0
25.0
30.4
11.7
19.3


R125
mass %
22.2
13.3
18.8
14.7
15.9
17.6


R134a
mass %
7.4
4.4
6.2
4.9
5.3
5.8


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0


GWP

1023
750
750
587
750
750


COP Ratio
% (relative to
102.9
102.6
96.3
94.9
98.8
97.2



R410A)


Refrigerating
% (relative to
68.7
76.4
109.1
121.6
90.3
100.7


Capacity Ratio
R410A)


Condensation
° C.
4.9
4.2
25.3
25.9
14.8
21.1


Glide










50% R1234yf, r = 1.0
















Comparative
Comparative
Comparative
Comparative






Example 90
Example 91
Example 92
Example 93
Example 43
Example 44


Item
Unit
Br=1.0
Cr=1.0
Dr=1.0
Fr=1.0
Or=1.0
Pr=1.0





R32
mass %
23.0
35.5
0.0
0.0
18.2
3.9


CO2
mass %
0.0
0.0
28.7
31.8
14.0
25.5


R125
mass %
27.0
14.5
21.3
18.2
17.8
20.6


R134a
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0


GWP

1102
750
750
639
750
750


COP Ratio
% (relative to
102.0
102.1
94.5
93.7
97.5
95.1



R410A)


Refrigerating
% (relative to
72.8
79.6
119.2
126.0
97.4
114.2


Capacity Ratio
R410A)


Condensation
° C.
4.5
3.7
24.8
25.0
15.1
22.9


Glide










50% R1234yf, r = 0.31
















Comparative
Comparative
Comparative
Comparative






Example 94
Example 95
Example 96
Example 97
Example 45
Example 46


Item
Unit
Br=0.31
Cr=0.31
Dr=0.31
Fr=0.31
Or=0.31
Pr=0.31





R32
mass %
14.4
20.6
0.0
0.0
13.8
11.2


CO2
mass %
0.0
0.0
14.0
27.0
4.6
6.5


R125
mass %
11.0
9.1
11.2
7.3
9.8
10.0


R134a
mass %
24.6
20.3
24.8
15.7
21.8
22.3


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0


GWP

836
750
750
482
750
750


COP Ratio
% (relative to
104.7
104.3
100.2
97.2
102.6
102.0



R410A)


Refrigerating
% (relative to
59.7
64.8
78.3
110.9
68.7
70.7


Capacity Ratio
R410A)


Condensation
° C.
5.0
5.1
22.6
27.4
10.7
13.1


Glide










50% R1234yf, r = 0.37
















Comparative
Comparative
Comparative
Comparative






Example 98
Example 99
Example 100
Example 101
Example 47
Example 48


Item
Unit
Br=0.37
Cr=0.37
Dr=0.37
Fr=0.37
Or=0.37
Pr=0.37





R32
mass %
15.3
23.1
0.0
0.0
14.4
11.9


CO2
mass %
0.0
0.0
16.0
27.6
6.0
7.7


R125
mass %
12.8
10.0
12.6
8.5
11.0
11.2


R134a
mass %
21.9
16.9
21.4
13.9
18.6
19.2


R1234yf
mass %
50.0
50.0
50.0
50.0
50.0
50.0


GWP

866
750
749
499
750
749


COP Ratio
% (relative to
104.5
103.9
99.6
96.8
101.9
101.4



R410A)


Refrigerating
% (relative to
61.1
67.3
83.9
112.7
72.9
74.5


Capacity Ratio
R410A)


Condensation
° C.
5.0
5.1
23.7
27.2
12.0
14.0


Glide
















TABLE 24







41% R1234yf, r = 0.25























Comparative




Item
Unit
Example 49
Example 50
Example 51
Example 52
Example 53
Example 102
Example 54
Example 55





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
42.0
32.0
21.0
19.0
17.0
12.0
40.0
30.0


R125
mass %
2.5
5.0
7.8
8.3
8.8
10.0
2.5
5.0


R134a
mass %
7.5
15.0
23.2
24.7
26.2
30.0
7.5
15.0


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

244
439
654
693
732
828
258
452


COP Ratio
% (relative to
89.5
94.0
97.8
98.4
99.0
100.4
90.2
94.4



R410A)


Refrigerating
% (relative to
149.0
127.2
101.4
96.5
91.7
79.7
145.9
123.9


Capacity Ratio
R410A)


Condensation
° C.
21.3
23.2
22.8
22.3
21.5
18.8
21.0
22.6


Glide










41% R1234yf, r = 0.25




















Comparative



Comparative



Item
Unit
Example 56
Example 57
Example 103
Example 58
Example 59
Example 60
Example 104
Example 61





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
15.0


CO2
mass %
17.0
15.0
10.0
38.0
28.0
14.0
8.0
34.0


R125
mass %
8.3
8.8
10.0
2.5
5.0
8.5
10.0
2.5


R134a
mass %
24.7
26.2
30.0
7.5
15.0
25.5
30.0
7.5


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

706
745
841
271
466
738
855
298


COP Ratio
% (relative to
98.8
99.4
101.0
90.8
94.9
99.6
101.6
92.0



R410A)


Refrigerating
% (relative to
93.3
88.5
76.7
142.8
120.6
87.7
73.7
136.6


Capacity Ratio
R410A)


Condensation
° C.
20.9
20.0
16.7
20.6
21.9
18.9
14.6
19.8


Glide










41% R1234yf, r = 0.25


















Comparative
Comparative
Comparative
Comparative


Item
Unit
Example 62
Example 63
Example 105
Example 106
Example 107
Example 108





R32
mass %
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
24.0
14.0
4.0
24.0
14.0
4.0


R125
mass %
5.0
7.5
10.0
2.5
5.0
7.5


R134a
mass %
15.0
22.5
30.0
7.5
15.0
22.5


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0


GWP

493
687
882
365
560
755


COP Ratio
% (relative to
95.9
99.2
103.0
94.9
98.4
102.4



R410A)


Refrigerating
% (relative to
114.1
90.8
68.2
120.8
98.1
76.1


Capacity Ratio
R410A)


Condensetion
° C.
20.2
17.7
9.9
16.9
14.9
8.8


Glide










41% R1234yf, r = 0.375























Comparative




Item
Unit
Example 64
Example 65
Example 66
Example 67
Example 68
Example 109
Example 69
Example 70





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
42.0
32.0
25.0
23.0
21.0
12.0
40.0
30.0


R125
mass %
3.8
7.5
10.1
10.9
11.6
15.0
3.8
7.5


R134a
mass %
6.2
12.5
16.9
18.1
19.4
25.0
6.2
12.5


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

271
490
644
689
733
932
284
504


COP Ratio
% (relative to
89.3
93.6
96.1
96.7
97.3
100.0
89.9
94.1



R410A)


Refrigerating
% (relative to
149.4
128.1
112.0
107.4
102.6
81.2
146.4
124.8


Capacity Ratio
R410A)


Condensation
° C.
21.0
22.7
22.7
22.5
22.1
18.2
20.7
22.0


Glide










41% R1234yf, r = 0.375





















Comparative






Item
Unit
Example 71
Example 72
Example 73
Example 110
Example 74
Example 75
Example 76
Example 77





R32
mass %
9.0
9.0
9.0
9.0
11.0
11.0
11.0
11.0


CO2
mass %
23.0
21.0
19.0
10.0
38.0
28.0
20.0
18.0


R125
mass %
10.1
10.9
11.6
15.0
3.8
7.5
10.5
11.3


R134a
mass %
16.9
18.1
19.4
25.0
6.2
12.5
17.5
18.7


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

658
703
746
945
298
517
694
739


COP Ratio
% (relative to
96.5
97.1
97.7
100.5
90.6
94.5
97.2
97.9



R410A)


Refrigerating
% (relative to
108.7
104.0
99.3
78.2
143.3
121.5
103.1
98.4


Capacity Ratio
R410A)


Condensetion
° C.
21.7
21.4
20.9
16.2
20.3
21.3
20.5
19.9


Glide










41% R1234yf, r = 0.375


















Comparative


Comparative
Comparative
Comparative
Comparative
Comparative


Item
Unit
Example 111
Example 78
Example 79
Example 112
Example 113
Example 114
Example 115
Example 116





R32
mass %
11.0
15.0
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
8.0
34.0
24.0
14.0
4.0
24.0
14.0
4.0


R125
mass %
15.0
3.8
7.5
11.3
15.0
3.8
7.5
11.3


R134a
mass %
25.0
6.2
12.5
18.7
25.0
6.2
12.5
18.7


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

958
325
544
766
985
392
612
833


COP Ratio
% (relative to
101.1
91.8
95.5
98.8
102.6
94.7
98.2
102.0



R410A)


Refrigerating
% (relative to
75.3
137.1
115.0
92.1
69.8
121.3
99.1
77.4


Capacity Ratio
R410A)


Condensation
° C.
14.1
19.5
19.7
17.1
9.6
16.6
14.5
8.5


Glide
















TABLE 25







41% R1234yf, r = 0.5























Comparative




Item
Unit
Example 80
Example 81
Example 82
Example 83
Example 84
Example 117
Example 85
Example 86





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
42.0
32.0
29.0
27.0
25.0
12.0
40.0
30.0


R125
mass %
5.0
10.0
11.5
12.5
13.5
20.0
5.0
10.0


R134a
mass %
5.0
10.0
11.5
12.5
13.5
20.0
5.0
10.0


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

296
542
616
665
715
1035
309
556


COP Ratio
% (relative to
89.1
93.1
94.2
94.9
95.6
99.5
89.7
93.7



R410A)


Refrigerating
% (relative to
149.8
128.9
122.2
117.7
113.2
82.8
146.8
125.6


Capacity Ratio
R410A)


Condensation
° C.
20.7
22.2
22.3
22.2
22.1
17.5
20.4
21.5


Glide










41% R1234yf, r = 0.5




















Comparative




Comparative


Item
Unit
Example 87
Example 88
Example 118
Example 89
Example 90
Example 91
Example 92
Example 119





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
11.0


CO2
mass %
25.0
23.0
10.0
38.0
28.0
23.0
21.0
8.0


R125
mass %
12.5
13.5
20.0
5.0
10.0
12.5
13.5
20.0


R134a
mass %
12.5
13.5
20.0
5.0
10.0
12.5
13.5
20.0


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

679
728
1048
323
569
692
742
1062


COP Ratio
% (relative to
95.4
96.0
100.0
90.4
94.2
95.9
96.5
100.7



R410A)


Refrigerating
% (relative to
114.4
109.8
79.8
143.7
122.3
111.1
106.6
76.9


Capacity Ratio
R410A)


Condensation
° C.
21.3
21.1
15.6
20.0
20.8
20.4
20.1
13.6


Glide










41% R1234yf, r = 0.5





















Comparative
Comparative
Comparative
Comparative
Comparative


Item
Unit
Example 93
Example 94
Example 95
Example 120
Example 121
Example 122
Example 123
Example 124





R32
mass %
13.0
15.0
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
20.0
34.0
24.0
14.0
4.0
24.0
14.0
4.0


R125
mass %
13.0
5.0
10.0
15.0
20.0
5.0
10.0
15.0


R134a
mass %
13.0
5.0
10.0
15.0
20.0
5.0
10.0
15.0


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

730
350
596
843
1089
417
664
910


COP Ratio
% (relative to
96.7
91.6
95.2
98.4
102.1
94.6
97.9
101.6



R410A)


Refrigerating
% (relative to
105.6
137.5
115.8
93.4
71.4
121.7
100.0
78.7


Capacity Ratio
R410A)


Condensation
° C.
19.2
19.2
19.2
16.5
9.2
16.4
14.1
8.1


Glide










41% R1234yf, r = 0.75





















Comparative

Example
Comparative
Example


Item
Unit
Example 96
Example 97
Example 98
Example 125
Example 99
100
Example 126
101





R32
mass %
7.0
7.0
7.0
7.0
9.0
9.0
9.0
11.0


CO2
mass %
42.0
31.0
29.0
12.0
40.0
28.0
10.0
38.0


R125
mass %
7.5
15.8
17.3
30.0
7.5
16.5
30.0
7.5


R134a
mass %
2.5
5.2
5.7
10.0
2.5
5.5
10.0
2.5


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

348
677
736
1242
361
719
1255
375


COP Ratio
% (relative to
88.6
92.6
93.3
98.4
89.3
93.5
98.9
89.9



R410A)


Refrigerating
% (relative to
150.6
128.4
124.1
86.1
147.6
123.0
83.1
144.5


Capacity Ratio
R410A)


Condensation
° C.
20.1
21.1
21.0
16.2
19.8
20.4
14.4
19.4


Glide










41% R1234yf, r = 0.75


















Example
Comparative
Example
Example
Comparative
Comparative
Comparative
Comparative


Item
Unit
102
Example 127
103
104
Example 128
Example 123
Example 130
Example 131





R32
mass %
11.0
11.0
15.0
15.0
15.0
15.0
25.0
25.0


CO2
mass %
28.0
8.0
34.0
24.0
14.0
4.0
24.0
14.0


R125
mass %
15.0
30.0
7.5
15.0
22.5
30.0
7.5
15.0


R134a
mass %
5.0
10.0
2.5
5.0
7.5
10.0
2.5
5.0


R1234yf
mass %
41.0
41.0
41.0
41.0
41.0
41.0
41.0
41.0


GWP

673
1269
401
700
998
1296
469
767


COP Ratio
% (relative to
93.4
99.6
91.2
94.5
97.5
101.0
94.2
97.3



R410A)


Refrigerating
% (relative to
124.0
80.2
138.4
117.6
96.0
74.6
122.7
101.9


Capacity Ratio
R410A)


Condensation
° C.
19.8
12.5
18.7
18.2
15.4
8.5
15.8
13.3


Glide











41% R1234yf, r = 0.75














Comparative



Item
Unit
Example 132







R32
mass %
25.0



CO2
mass %
4.0



R125
mass %
22.5



R134a
mass %
7.5



R1234yf
mass %
41.0



GWP

1065



COP Ratio
% (relative to
100.8




R410A)



Refrigerating
% (relative to
81.4



Capacity Ratio
R410A)



Condensation
° C.
7.5



Glide

















TABLE 26







43% R1234yf, r = 0.25


















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
105
106
107
108
109
Example 133
110
111





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
40.0
30.0
19.0
17.0
15.0
10.0
38.0
28.0


R125
mass %
2.5
5.0
7.8
8.3
8.8
10.0
2.5
5.0


R134a
mass %
7.5
15.0
23.2
24.7
26.2
30.0
7.5
15.0


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

244
439
654
693
732
828
258
452


COP Ratio
% (relative to
90.6
94.8
98.4
99.0
99.6
101.1
91.2
95.3



R410A)


Refrigerating
% (relative to
144.7
122.6
96.5
91.6
86.8
74.9
141.6
119.3


Capacity Ratio
R410A)


Condensation

22.1
23.6
22.4
21.7
20.7
17.3
21.7
22.8


Glide










43% R1234yf, r = 0.25


















Example
Example
Comparative
Example
Example
Example
Comparative
Comparative


Item
Unit
112
313
Example 134
114
115
116
Example 135
Example 136





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
15.0


CO2
mass %
15.0
13.0
8.0
36.0
26.0
12.0
6.0
32.0


R125
mass %
8.3
8.8
10.0
2.5
5.0
8.5
10.0
2.5


R134a
mass %
24.7
26.2
30.0
7.5
15.0
25.5
30.0
7.5


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

706
745
842
271
466
738
855
298


COP Ratio
% (relative to
99.4
100.0
101.7
91.8
95.7
100.2
102.4
92.9



R410A)


Refrigerating
% (relative to
88.4
83.6
72.0
138.5
116.0
82.9
69.2
132.1


Capacity Ratio
R410A)


Condensation
° C.
20.1
19.0
15.0
21.2
22.0
17.8
12.6
20.2


Glide










43% R1234yf, r = 0.25
















Example
Example
Comparative
Comparative
Comparative
Comparative


Item
Unit
117
118
Example 137
Example 138
Example 133
Example 140





R32
mass %
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
22.0
12.0
2.0
22.0
12.0
2.0


R125
mass %
5.0
7.5
10.0
2.5
5.0
7.5


R134a
mass %
15.0
22.5
30.0
7.5
15.0
22.5


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0


GWP

493
687
882
365
560
755


COP Ratio
% (relative to
96.6
99.9
104.0
95.6
99.2
103.3



R410A)


Refrigerating
% (relative to
109.4
86.1
63.9
116.2
93.6
71.9


Capacity Ratio
R410A)


Condensation
° C.
20.1
16.7
7.5
16.8
14.1
6.9


Glide










43% R1234yf, r = 0.303


















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
119
120
121
122
123
Example 141
124
125





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
40.0
30.0
21.0
19.0
17.0
10.0
38.0
28.0


R125
mass %
3.0
6.1
8.8
9.4
10.0
12.1
3.0
6.1


R134a
mass %
7.0
13.9
20.2
21.6
23.0
27.9
7.0
13.9


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

254
462
646
687
728
872
268
475


COP Ratio
% (relative to
90.5
94.7
97.7
98.3
98.8
100.9
91.1
95.1



R410A)


Refrigerating
% (relative to
144.9
123.0
101.8
97.0
92.1
75.5
141.8
119.6


Capacity Ratio
R410A)


Condensation
° C.
22.0
23.4
22.7
22.1
21.4
17.0
21.6
22.6


Glide











43% R1234yf, r = 0.303



















Example
Example
Example
Comparative
Example
Example
Example
Comparative


Item
Unit
126
127
129
Example 142
129
130
131
Example 143





R32
mass %
9.0
9.0
9.0
9.0
11.0
11.0
11.0
11.0


CO2
mass %
19.0
17.0
15.0
8.0
36.0
26.0
14.0
6.0


R125
mass %
8.8
9.4
10.0
12.1
3.0
6.1
9.7
12.1


R134a
mass %
20.2
21.6
23.0
27.9
7.0
13.9
22.3
27.9


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

660
701
742
885
281
489
735
899


COP Ratio
% (relative to
98.1
98.7
99.3
101.5
91.7
95.6
99.4
102.2



R410A)


Refrigerating
% (relative to
98.5
93.7
89.0
72.6
138.6
116.3
88.2
69.8


Capacity Ratio
R410A)


Condensation
° C.
21.4
20.7
19.8
14.8
21.1
21.8
18.7
12.4


Glide










43% R1234yf, r = 0.303

















Example
Example
Example
Comparative
Comparative
Comparative
Comparative


Item
Unit
132
133
134
Example 144
Example 145
Example 146
Example 147





R32
mass %
15.0
15.0
15.0
15.0
25.0
25.0
25.6


CO2
mass %
32.0
22.0
12.0
2.0
22.0
12.0
2.0


R125
mass %
3.0
6.1
9.1
12.1
3.0
6.1
9.1


R134a
mass %
7.0
13.9
20.9
27.9
7.0
13.9
20.9


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

308
515
720
925
376
583
788


COP Ratio
% (relative to
92.8
96.5
99.8
103.8
95.6
99.0
103.1



R410A)


Refrigerating
% (relative to
132.3
109.8
86.6
64.5
116.4
94.0
72.4


Capacity Ratio
R410A)


Condensation
° C.
20.1
19.9
16.5
7.4
16.7
13.9
6.8


Glide

















TABLE 27







43% R1234yf, r = 0.355



















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
135
136
137
138
139
Example 148
140
141





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
40.0
30.0
23.0
21.0
19.0
10.0
38.0
28.0


R125
mass %
3.6
7.1
9.6
10.3
11.0
14.2
3.6
7.1


R134a
mass %
6.4
12.9
17.4
18.7
20.0
25.8
6.4
12.9


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

267
482
634
677
720
915
280
496


COP Ratio
% (relative to
90.4
94.5
96.9
97.5
98.1
100.7
91.0
95.0



R410A)


Refrigerating
% (relative to
145.1
123.3
107.0
102.3
97.5
76.1
142.0
120.0


Capacity Ratio
R410A)


Condensation
° C.
21.8
23.2
22.8
22.4
21.9
16.8
21.4
22.4


Glide










43% R1234yf, r = 0.355


















Example
Example
Comparative
Example
Example
Example
Example
Comparative


Item
Unit
142
143
Example 149
144
145
146
147
Example 150





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
11.0


CO2
mass %
19.0
17.0
8.0
36.0
26.0
17.0
15.0
6.0


R125
mass %
10.3
11.0
14.2
3.6
7.1
10.3
11.0
14.2


R134a
mass %
18.7
20.0
25.8
6.4
12.9
18.7
20.0
25.8


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

691
734
928
294
509
704
747
942


COP Ratio
% (relative to
97.9
98.5
101.3
91.6
95.4
98.3
98.9
102.0



R410A)


Refrigerating
% (relative to
99.0
94.2
73.2
138.8
116.7
95.7
91.0
70.4


Capacity Ratio
R410A)


Condensation
° C.
21.1
20.5
14.6
21.0
21.6
19.8
19.0
12.3


Glide










43% R1234yf, r = 0.355

















Example
Example
Comparative
Comparative
Comparative
Comparative
Comparative


Item
Unit
148
149
Example 151
Example 152
Example 153
Example 154
Example 155





R32
mass %
15.0
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
32.0
22.0
12.0
2.0
22.0
12.0
2.0


R125
mass %
3.6
7.1
10.7
14.2
3.6
7.1
10.7


R134a
mass %
6.4
12.9
19.3
25.8
6.4
12.9
19.3


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

321
536
754
969
388
604
821


COP Ratio
% (relative to
92.7
96.3
99.6
103.6
95.5
98.9
103.0



R410A)


Refrigerating
% (relative to
132.5
110.1
87.2
65.2
116.6
94.4
73.0


Capacity Ratio
R410A)


Condensation
° C.
20.0
19.7
16.3
7.3
16.6
13.8
6.7


Glide











43% R1234yf, r = 0.375



















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
150
151
152
153
154
Example 156
155
156





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
40.0
30.0
23.0
21.0
19.0
10.0
38.0
28.0


R125
mass %
3.8
7.5
10.1
10.9
11.6
15.0
3.8
7.5


R134a
mass %
6.2
12.5
16.9
18.1
19.4
25.0
6.2
12.5


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

271
491
644
690
733
932
285
504


COP Ratio
% (relative to
90.4
94.5
96.8
97.4
98.0
100.6
91.0
94.9



R410A)


Refrigerating
% (relative to
145.2
123.4
107.2
102.4
97.7
76.4
142.0
120.1


Capacity Ratio
R410A)


Condensation
° C.
21.8
23.1
22.7
22.3
21.8
16.7
21.4
22.3


Glide










43% R1234yf, r = 0.375


















Example
Example
Example
Comparative
Example
Example
Example
Comparative


Item
Unit
157
158
159
Example 167
160
161
162
Example 158





R32
mass %
9.0
9.0
9.0
9.0
11.0
11.0
11.0
11.0


CO2
mass %
21.0
19.0
17.0
8.0
36.0
26.0
16.0
6.0


R125
mass %
10.1
10.9
11.6
15.0
3.8
7.5
11.3
15.0


R134a
mass %
16.9
18.1
19.4
25.0
6.2
12.5
18.7
25.0


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

658
703
746
945
298
517
739
959


COP Ratio
% (relative to
97.2
97.8
98.4
101.3
91.6
95.4
98.6
101.9



R410A)


Refrigerating
% (relative to
103.9
99.2
94.4
73.5
138.3
116.8
93.6
70.7


Capacity Ratio
R410A)


Condensation
° C.
21.6
21.0
20.4
14.5
20.9
21.5
19.3
12.2


Glide










43% R1234yf, r = 0.375

















Example
Example
Comparative
Comparative
Comparative
Comparative
Comparative


Item
Unit
163
164
Example 159
Example 160
Example 161
Example 162
Example 163





R32
mass %
15.0
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
32.0
22.0
12.0
2.0
22.0
12.0
2.0


R125
mass %
3.8
7.5
11.3
15.0
3.8
7.5
11.3


R134a
mass %
6.2
12.5
18.7
25.0
6.2
12.5
18.7


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

325
544
766
985
392
612
833


COP Ratio
% (relative to
92.7
96.3
99.6
103.5
95.5
98.9
102.9



R410A)


Refrigerating
% (relative to
132.6
110.3
87.4
65.4
116.7
94.5
73.2


Capacity Ratio
R410A)


Condensation
° C.
19.9
19.7
16.2
7.3
16.5
13.7
6.7


Glide

















TABLE 28







43% R1234yf, r = 0.5



















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
165
166
167
168
169
Example 164
170
171





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
40.0
30.0
27.0
25.0
23.0
10.0
38.0
28.0


R125
mass %
5.0
10.0
11.5
12.5
13.5
20.0
5.0
10.0


R134a
mass %
5.0
10.0
11.5
12.5
13.5
20.0
5.0
10.0


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

296
542
616
665
715
1035
309
556


COP Ratio
% (relative to
90.2
94.1
95.1
95.7
96.4
100.2
90.8
94.5



R410A)


Refrigerating
% (relative to
145.5
124.2
117.5
112.9
108.3
77.9
142.4
120.9


Capacity Ratio
R410A)


Condensation
° C.
21.5
22.6
22.5
22.4
22.1
16.2
21.1
21.8


Glide










43% R1234yf, r = 0.5


















Example
Example
Comparative
Example
Example
Example
Comparative
Example


Item
Unit
172
173
Example 165
174
175
176
Example 166
177





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
13.0


CO2
mass %
23.0
21.0
8.0
36.0
26.0
20.0
6.0
18.0


R125
mass %
12.5
13.5
20.0
5.0
10.0
13.0
20.0
13.0


R134a
mass %
12.5
13.5
20.0
5.0
10.0
13.0
20.0
13.0


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

679
728
1049
323
569
717
1062
731


COP Ratio
% (relative to
96.2
96.8
100.8
91.4
95.0
96.9
101.5
97.4



R410A)


Refrigerating
% (relative to
109.6
105.0
75.0
139.3
117.6
104.0
72.2
100.8


Capacity Ratio
R410A)


Condensat ion
° C.
21.4
21.0
14.1
20.7
21.0
20.1
11.8
18.8


Glide










43% R1234yf, r = 0.5

















Example
Example
Comparative
Comparative
Comparative
Comparative
Comparative


Item
Unit
178
179
Example 167
Example 168
Example 169
Example 170
Example 171





R32
mass %
15.0
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
32.0
22.0
12.0
2.0
22.0
12.0
2.0


R125
mass %
5.0
10.0
15.0
20.0
5.0
10.0
15.0


R134a
mass %
5.0
10.0
15.0
20.0
5.0
10.0
15.0


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

350
596
843
1089
417
664
910


COP Ratio
% (relative to
92.5
96.0
99.2
103.0
95.3
98.6
102.5



R410A)


Refrigerating
% (relative to
133.0
111.1
88.6
67.0
117.2
95.4
74.4


Capacity Ratio
R410A)


Condensation
° C.
19.7
19.2
15.7
7.1
16.3
13.3
6.5


Glide










43% R1234yf, r = 0.75


















Example
Example
Example
Comparative
Example
Example
Comparative
Example


Item
Unit
180
181
182
Example 172
183
184
Example 173
185





R32
mass %
7.0
7.0
7.0
7.0
9.0
9.0
9.0
15.0


CO2
mass %
40.0
29.0
27.0
10.0
38.0
26.0
8.0
32.0


R125
mass %
7.5
15.8
17.3
30.0
7.5
16.5
30.0
7.5


R134a
mass %
2.5
5.2
5.7
10.0
2.5
5.5
10.0
2.5


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0
43.0
43.0


GWP

348
677
736
1242
361
719
1256
402


COP Ratio
% (relative to
89.7
93.6
94.2
99.1
90.3
94.4
99.7
92.1



R410A)


Refrigerating
% (relative to
146.3
123.7
119.3
81.1
143.2
118.2
78.2
133.9


Capacity Ratio
R410A)


Condensation
° C.
20.9
21.5
21.4
15.1
20.5
20.6
13.1
19.1


Glide










43% R1234yf, r = 0.75
















Example
Comparat ive
Comparative
Comparative
Comparative
Example


Item
Unit
186
Example 174
Example 175
Example 176
Example 177
187





R32
mass %
15.0
15.0
15.0
25.0
25.0
25.0


CO2
mass %
22.0
12.0
2.0
22.0
12.0
2.0


R125
mass %
15.0
22.5
30.0
7.5
15.0
22.5


R134a
mass %
5.0
7.5
10.0
2.5
5.0
7.5


R1234yf
mass %
43.0
43.0
43.0
43.0
43.0
43.0


GWP

700
998
1296
469
767
1065


COP Ratio
% (relative to
95.3
98.3
101.9
95.0
98.1
101.7



R410A)


Refrigerating
% (relative to
112.9
91.2
70.1
118.1
97.3
77.0


Capacity Ratio
R410A)


Condensation
° C.
18.2
14.6
6.7
15.8
12.6
6.0


Glide
















TABLE 29







45% R1234yf, r = 0.25


















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
188
189
190
191
192
Example 178
193
194





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
38.0
28.0
17.0
15.0
13.0
8.0
36.0
26.0


R125
mass %
2.5
5.0
7.8
8.3
8.8
10.0
2.5
5.0


R134a
mass %
7.5
15.0
23.2
24.7
26.2
30.0
7.5
15.0


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

244
439
654
693
732
828
258
452


COP Ratio
% (relative to
91.7
95.7
99.1
99.6
100.2
101.8
92.2
96.1



R410A)


Refrigerating
% (relative to
140.4
117.9
91.5
86.7
81.9
70.1
137.2
114.5


Capacity Ratio
R410A)


Condensation
° C.
22.8
23.9
21.8
20.8
19.6
15.4
22.3
23.0


Glide










45% R1234yf, r = 0.25


















Example
Example
Comparative
Example
Example
Example
Comparative
Comparative


Item
Unit
195
196
Example 179
197
198
199
Example 180
Example 181





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
15.0


CO2
mass %
13.0
11.0
6.0
34.0
24.0
10.0
4.0
30.0


R125
mass %
8.3
8.8
10.0
2.5
5.0
8.5
10.0
2.5


R134a
mass %
24.7
26.2
30.0
7.5
15.0
25.5
30.0
7.5


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

706
745
842
271
466
738
855
298


COP Ratio
% (relative to
100.1
100.7
102.5
92.7
96.5
100.9
103.2
93.8



R410A)


Refrigerating
% (relative to
83.5
78.8
67.3
134.0
111.2
78.2
64.7
127.6


Capacity Ratio
R410A)


Condensation
° C.
19.0
17.7
12.8
21.8
22.0
16.4
10.2
20.6


Glide










45% R1234yf, r = 0.25
















Comparative
Example
Comparative
Comparative



Item
Unit
Example 182
200
Example 183
Example 184







R32
mass %
15.0
15.0
25.0
25.0



CO2
mass %
20.0
10.0
20.0
10.0



R125
mass %
5.0
7.5
2.5
5.0



R134a
mass %
15.0
22.5
7.5
15.0



R1234yf
mass %
45.0
45.0
45.0
45.0



GWP

493
687
366
560



COP Ratio
% (relative to
97.3
100.6
96.3
99.9




R410A)



Refrigerating
% (relative to
104.6
81.4
111.6
89.1



Capacity Ratio
R410A)



Condensation
° C.
19.9
15.4
16.6
13.1



Glide











45% R1234yf, r = 0.375


















Example
Example
Example
Example
Example
Comparative
Example
Example


Item
Unit
201
202
203
204
205
Example 185
206
207





R32
mass %
7.0
7.0
7.0
7.0
7.0
7.0
9.0
9.0


CO2
mass %
38.0
28.0
21.0
19.0
17.0
8.0
36.0
26.0


R125
mass %
3.8
7.5
10.1
10.9
11.6
15.0
3.8
7.5


R134a
mass %
6.2
12.5
16.9
18.1
19.4
25.0
6.2
12.5


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

271
491
644
690
733
932
285
504


COP Ratio
% (relative to
91.4
95.3
97.5
98.1
98.7
101.4
92.0
95.7



R410A)


Refrigerating
% (relative to
140.8
118.7
102.2
97.5
92.7
71.6
137.6
115.3


Capacity Ratio
R410A)


Condensation
° C.
22.5
23.4
22.5
21.9
21.2
15.0
22.0
22.5


Glide










45% R1234yf, r = 0.375


















Example
Example
Comparative
Examp.1e
Example
Example
Comparative
Comparative


Item
Unit
208
209
Example 186
210
211
212
Example 187
Example 188





R32
mass %
9.0
9.0
9.0
11.0
11.0
11.0
11.0
15.0


CO2
mass %
17.0
15.0
6.0
34.0
24.0
14.0
4.0
30.0


R125
mass %
10.9
11.6
15.0
3.8
7.5
11.3
15.0
3.8


R134a
mass %
18.1
19.4
25.0
6.2
12.5
18.7
25.0
6.2


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

703
746
945
298
518
739
959
325


COP Ratio
% (relative to
98.5
99.1
102.0
92.5
96.1
99.2
102.8
93.6



R410A)


Refrigerating
% (relative to
94.2
89.5
68.8
134.4
112.0
88.7
66.1
128.0


Capacity Ratio
R410A)


Condensation
° C.
20.5
19.6
12.5
21.5
21.5
18.5
10.0
20.3


Glide










45% R1234yf, r = 0.375














Example
Comparat ive
Comparative
Comparative


Item
Unit
213
Example 189
Example 190
Example 191





R32
mass %
15.0
15.0
25.0
25.0


CO2
mass %
20.0
10.0
20.0
10.0


R125
mass %
7.5
11.3
3.8
7.5


R134a
mass %
12.5
18.7
6.2
12.5


R1234yf
mass %
45.0
45.0
45.0
45.0


GWP

545
766
392
612


COP Ratio
% (relative to
97.0
100.3
96.2
99.6



R410A)


Refrigerating
% (relative to
105.5
82.7
112.1
90.0


Capacity Ratio
R410A)


Condensation
° C.
19.4
15.0
16.3
12.8


Glide
















TABLE 30







45% R1234yf, r = 0.5


















Example
Example
Example
Example
Comparative
Example
Example
Example


Item
Unit
214
215
216
217
Example 192
218
219
220





R32
mass %
7.0
7.0
7.0
7.0
7.0
9.0
9.0
9.0


CO2
mass %
38.0
28.0
23.0
21.0
8.0
36.0
26.0
21.0


R125
mass %
5.0
10.0
12.5
13.5
20.0
5.0
10.0
12.5


R134a
mass %
5.0
10.0
12.5
13.5
20.0
5.0
10.0
12.5


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

296
542
666
715
1035
309
556
679


COP Ratio
% (relative to
91.2
94.9
96.5
97.1
100.9
91.8
95.4
96.9



R410A)


Refrigerating
% (relative to
141.2
119.5
108.0
103.3
73.1
138.0
116.1
104.7


Capacity Ratio
R410A)


Condensation
° C.
22.2
22.9
22.4
21.9
14.5
21.7
22.0
21.2


Glide










45% R1234yf, r = 0.5


















Example
Comparative
Example
Example
Example
Comparative
Comparative
Example


Item
Unit
221
Example 193
222
223
224
Example 194
Example 195
225





R32
mass %
9.0
9.0
11.0
11.0
11.0
11.0
15.0
15.0


CO2
mass %
19.0
6.0
34.0
24.0
18.0
4.0
30.0
20.0


R125
mass %
13.5
20.0
5.0
10.0
13.0
20.0
5.0
10.0


R134a
mass %
13.5
20.0
5.0
10.0
13.0
20.0
5.0
10.0


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

728
1049
323
569
717
1062
350
596


COP Ratio
% (relative to
97.5
101.6
92.3
95.8
97.6
102.3
93.4
96.7



R410A)


Refrigerating
% (relative to
100.1
70.3
134.8
112.9
99.1
67.6
128.4
106.4


Capacity Ratio
R410A)


Condensation
° C.
20.7
12.2
21.2
21.1
19.7
9.7
20.0
19.0


Glide










45% R1234yf, r = 0.5















Comparative
Comparative
Comparative



Item
Unit
Example 196
Example 197
Example 198







R32
mass %
15.0
25.0
25.0



CO2
mass %
10.0
20.0
10.0



R125
mass %
15.0
5.0
10.0



R134a
mass %
15.0
5.0
10.0



R1234yf
mass %
45.0
45.0
45.0



GWP

843
417
664



COP Ratio
% (relative to
99.9
96.0
99.4




R410A)



Refrigerating
% (relative to
83.9
112.6
90.9



Capacity Ratio
R410A)



Condensation
° C.
14.6
16.1
12.4



Glide












45% R1234yf, r = 0.75



















Example
Example
Comparative
Comparative
Example
Example
Example
Example


Item
Unit
226
227
Example 199
Example 200
228
229
230
231





R32
mass %
7.0
7.0
7.0
7.0
9.0
9.0
15.0
15.0


CO2
mass %
38.0
26.0
18.0
8.0
36.0
23.0
30.0
20.0


R125
mass %
7.5
16.5
22.5
30.0
7.5
17.3
7.5
15.0


R134a
mass %
2.5
5.5
7.5
10.0
2.5
5.7
2.5
5.0


R1234yf
mass %
45.0
45.0
45.0
45.0
45.0
45.0
45.0
45.0


GWP

348
705
944
1242
361
750
402
700


COP Ratio
% (relative to
90.8
94.8
97.0
99.9
91.4
95.5
93.0
96.1



R410A)


Refrigerating
% (relative to
142.0
116.7
98.7
76.2
138.8
111.2
129.3
108.1


Capacity Ratio
R410A)


Condensation
° C.
21.7
21.7
19.8
13.6
21.2
20.6
19.5
18.1


Glide










45% R1234yf, r = 0.75















Comparative
Comparative
Comparative



Item
Unit
Example 201
Example 202
Example 203







R32
mass %
15.0
25.0
25.0



CO2
mass %
10.0
20.0
10.0



R125
mass %
22.5
7.5
15.0



R134a
mass %
7.5
2.5
5.0



R1234yf
mass %
45.0
45.0
45.0



GWP

998
469
767



COP Ratio
% (relative to
99.1
95.7
98.8




R410A)



Refrigerating
% (relative to
86.4
113.5
92.7



Capacity Ratio
R410A)



Condensation
° C.
13.6
15.6
11.8



Glide











How to determine the approximate curves of point A, point Br,


point Cr, point Dr, point Or, point Fr, and point Pr when x-R1234yf


Point A

The approximate expression of the coordinates of point A as a function of the proportion (x) of R1234yf was determined based on the four formulations of point A revealed above by using the least-squares method as described below. Specifically, the coordinates of point A were found to be (a,b,c)=(−0.6902x+43.307, 100-a-x, 0.0).















TABLE 31









a = R32
15.0
13.1
11.2
8.8



b = CO2
44.0
43.1
42.3
41.2



c = R125 + R134a
0.0
0.0
0.0
0.0



x = R1234yf
41.0
43.8
46.5
50.0











x = R1234yf
−0.6902x + 43.307




a = R32



Approximate



Expression



b = CO2 Approximate
100 − a − x



Expression










Point Br

Additionally, the approximate expression of the coordinates of point Br as r and a function of the proportion (x) of R1234yf was determined based on the formulations of point Br-revealed above by using the least-squares method as described below.











TABLE 32









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Br
a = R32
19.9
22.1
24.1
17.9
20.0
21.9
24.1
27.4
30.2
21.9
25.2
27.9



b = CO2
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



c = R125 + R134a
39.1
36.9
34.9
38.3
36.2
34.3
34.9
31.6
28.8
34.3
31.0
28.3



x = R1234yf
41.0
41.0
41.0
43.8
43.8
43.8
41.0
41.0
41.0
43.8
43.8
43.8












Approximate
a = R32
−6.4r2 + 21.6r + 14.9
−6.4r2 + 20.8r + 13.1
−4.0r2 + 18.2r + 16
−4.8r2 + 19.2r + 13.5


Expression of
b = CO2
0
0
0
0


Point Br
c = R125 + R134a
100 − a − x
100 − a − x
100 − a − x
100 − a − x


Approximate
x = R1234yf
41.0
43.8
41.0
43.8


Expression of a,
e (Quadric
−6.4
−6.4
−4.0
−4.8


b, c indicated
Coefficient)


by r and x
f (Linear
21.6
20.8
18.2
19.2



Coefficient)



g (Coefficient)
14.9
13.1
16.0
13.5











e Approximate
−6.4
−0.2857x + 7.7143



Expression



f Approximate
−0.2857x + 33.314
 0.3571x + 3.5571



Expression



g Approximate
−0.6429x + 41.257
−0.8929x + 52.607



Expression



a = R32
−6.4r2 + (−0.2857x + 33.314)
(−0.2857x + 7.7143) r2 + (0.3571x − 3.5571)



Approximate
r + (−0.6429x + 41.257)
r + (−0.8929x + 52.607)



Expression



b = CO2
0.0
0.0



Approximate



Expression



c = (R125 + R134a)
100 − a − x
100 − a − x



Approximate



Expression



















TABLE 33









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Br
a = R32
17.9
20.0
21.9
15.9
18.0
19.9
21.9
25.2
27.9
19.9
23.1
25.8



b = CO2
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



c = R125 + R134a
38.3
36.2
34.3
37.6
35.5
33.6
34.3
31.0
28.3
33.6
30.4
27.7



x = R1234yf
43.8
43.8
43.8
46.5
46.5
46.5
43.8
43.8
43.8
46.5
46.5
46.5












Approximate
a = R32
−6.4r2 + 20.8r + 13.1
−6.4r2 + 20.8r + 11.1
−4.8r2 + 19.2r + 13.5
−4.0r2 + 17.8r + 12.0


Expression of
b = CO2
0
0
0
0


Point Br
c = R125 + R134a
100 − a − x
100 − a − x
100 − a − x
100 − a − x


Approximate
x = R1234yf
43.8
46.5
43.8
46.5


Expression of a,
e (Quadric
−6.4
−6.4
−4.8
−4.0


b, c indicated
Coefficient)


by r and x
f (Linear
20.8
20.8
19.2
17.8



Coefficient)



g (Coefficient)
13.1
11.1
13.5
12.0











e Approximate
−6.4
 0.2963x − 17.778



Expression



f Approximate
20.8
−0.5185x + 41.911



Expression



g Approximate
−0.7407x + 45.544
−0.5556x + 37.833



Expression



a = R32 Approximate
−6.4r2 + 20.8r + (−0.7407x + 45.544)
(0.2963x − 17.778) r2 + (−0.5185x + 41.911)



Expression

r + (−0.5556x + 37.833)



b = CO2 Approximate
0.0
0.0



Expression



c = (R125 + R134a)
100 − a − x
100 − a − x



Approximate



Expression



















TABLE 34









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Br
a = R32
15.9
18.0
19.9
13.4
15.4
17.3
19.9
23.1
25.8
17.3
20.4
23.0



b = CO2
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



c = R125 + R134a
37.6
35.5
33.6
36.6
34.6
32.7
33.6
30.4
27.7
32.7
29.6
27.0



x = R1234yf
46.5
46.5
46.5
50.0
50.0
50.0
46.5
46.5
46.5
50.0
50.0
50.0












Approximate
a = R32
−6.4r2 + 20.8r + 11.1
−3.2r2 + 18.0r + 9.1
−4.0r2 + 17.8r + 12.0
−4.0r2 + 17.4r + 9.6


Expression of
b = CO2
0
0
0
0


Point Br
c = R125 + R134a
100 − a − x
100 − a − x
100 − a − x
100 − a − x


Approximate
x = R1234yf
46.5
50.0
46.5
50.0


Expression of a,
e (Quadric
−6.4
−3.2
−4.0
−4.0


b, c indicated
Coefficient)


by r and x
f (Linear
20.8
18.0
17.8
17.4



Coefficient)



g (Coefficient)
11.1
9.1
12.0
9.6











e Approximate
 0.9143x − 48.914
−4.0



Expression



f Approximate
−0.8x + 58.0
−0.1143x + 23.114



Expression



g Approximate
−0.5714x − 37.671
−0.6857x − 43.886



Expression



a = R32 Approximate
(0.9143x − 48.914) r2 + (−0.8x + 58) +
−4.0r2 + (−0.1143x + 23.114)



Expression
(−0.5714x + 37.671)
r + (−0.6857x + 43.886)



b = CO2 Approximate
0.0
0.0



Expression



c = (R125 + R134a)
100 − a − x
100 − a − x



Approximate



Expression











How to determine the approximate curve of point Cr=0.25 to 1.0 and point Dr=0.25 to 1.0


Additionally, the approximate expressions of the coordinates of point Cr and point Dr as r and a function of the proportion (x) of R1234yf were determined based on the formulations of point Cr and point D, revealed above by using the least-squares method as described below.











TABLE 35









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Cr
a = R32
31.6
36.2
39.5
27.3
32.1
35.6
39.5
43.9
46.7
35.6
40.3
43.2



b = CO2
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



c = R125 + R134a
27.4
22.8
19.5
28.9
24.1
20.6
19.5
15.1
12.3
20.6
15.9
13.0



x = R1234yf
41.0
41.0
41.0
43.8
43.8
43.8
41.0
41.0
41.0
43.8
43.8
43.8












Approximate
a = R32
−41.6r2 + 62.8r + 18.5
−41.6r2 + 64.4r + 13.8
−12.8r2 + 33.6r + 25.9
−14.4r2 + 36.8r + 20.8


Expression of
b = CO2
0
0
0
0


Point Cr
c = R125 + R134a
100 − a − x
100 − a − x
100 − a − x
100 − a − x


Approximate
x = R1234yf
41.0
43.8
41.0
43.8


Expression of a,
e (Quadric
−41.6
−41.6
−12.8
−14.4


b, c indicated
Coefficient)


by r and x
f (Linear
62.8
64.4
33.6
36.8



Coefficient)



g (Coefficient)
18.5
13.8
25.9
20.8











e Approximate
−41.6
−0.5714x + 10.629



Expression



f Approximate
 0.5714x + 39.371
 1.1429x − 13.257



Expression



g Approximate
−1.6786x + 87.321
−1.8214x + 100.58



Expression



a = R32 Approximate
−41.6r2 + (0.5747x + 39.371)
(−0.5714x + 10.629) r2 + (1.1429x − 13.257)



Expression
r + (−1.6786x + 87.321)
r + (−1.8214x + 100.58)



b = CO2 Approximate
0.0
0.0



Expression



c = (R125 + R134a)
100 − a − x
100 − a − x



Approximate Expression



















TABLE 36









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Cr
a = R32
27.3
32.1
35.6
23.1
28.3
31.9
35.6
40.3
43.2
31.9
36.8
39.8



b = CO2
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



c = R125 + R134a
28.9
24.1
20.6
30.4
25.2
21.6
20.6
15.9
13.0
21.6
16.7
13.7



x = R1234yf
43.8
43.8
43.8
46.5
46.5
46.5
43.8
43.8
43,8
46.5
46.5
46.5












Approximate
a = R32
−41.6r2 + 64.4r + 13.8
−51.2r2 + 73.6r + 7.9
−14.4r2 + 36.8r + 20.8
−15.2r2 + 38.6r + 16.4












Expression of
b = CO2
0
0
0
0


Point Cr
c = R125 + R134a
100 − a − x
100 − a − x
100 − a − x
100 − a − x


Approximate
x = R1234yf
43.8
46.5
43.8
46.5


Expression of a,
e (Quadric
−41.6
−51.2
−14.4
−15.2


b, c indicated
Coefficient)


by r and x
f (Linear
64.4
73.6
36.8
38.6



Coefficient)



g (Coefficient)
13.8
7.9
20.8
16.4











e Approximate
−3.5556x + 114.13
−0.2963x − 1.4222



Expression



f Approximate
 3.4074x − 84.844
0.6667x + 7.6 



Expression



g Approximate
−2.1852x + 109.51
−1.6296x + 92.178



Expression



a = R32 Approximate
(−3.5556x + 114.13) r2 + (3.4074x − 84.844) +
(−0.2963x − 1.4222) r2 + (0.6667x + 7.6)



Expression
(−2.1852x + 109.51)
r + (−1.6296x + 92.178)



b = CO2 Approximate
0.0
0.0



Expression



c = (R125 + R134a)
100 − a − x
100 − a − x



Approximate Expression



















TABLE 37









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Cr
a = R32
23.1
28.3
31.9
17.9
23.3
27.2
31.9
36.8
39.8
27.2
32.3
35.5



b = CO2
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



c = R125 + R134a
30.4
25.2
21.6
32.1
26.7
22.8
21.6
16.7
13.7
22.8
17.7
14.5



x = R1234yf
46.5
46.5
46.5
50.0
50.0
50.0
46.5
46.5
46.5
50.0
50.0
50.0












Approximate
a = R32
−51.2r2 + 73.6r + 7.9
−48.0r2 + 73.2r + 2.6
−15.2r2 + 38.6r + 16.4
−15.2r2 + 39.4r + 11.3


Expression of
b = CO2
0
0
0
0


Point Cr
c = R125 + R134a
100 − a − x
100 − a − x
100 − a − x
100 − a − x


Approximate
x = R1234yf
46.5
50.0
46.5
50.0


Expression of a,
e (Quadric
−51.2
−48.0
−15.2
−15.2


b, c indicated
Coefficient)


by r and x
f (Linear
73.6
73.2
38.6
39.4



Coefficient)



g (Coefficient)
7.9
2.6
16.4
11.3











e Approximate
 0.9143x − 93.714
−15.2



Expression



f Approximate
−0.1143x + 78.914
 0.2286x + 27.971



Expression



g Approximate
−1.5143x + 78.314
−1.4571x + 84.157



Expression



a = R32 Approximate
(0.9143x − 93.714) r2 + (−0.1143x + 78.314) +
−15.2r2 + (0.2286x + 27.971)



Expression
(−1.5143x + 78.314)
r + (−1.4571x + 84.157)



b = CO2 Approximate
0.0
0.0



Expression



c = (R125 + R134a)
100 − a − x
100 − a − x



Approximate Expression



















TABLE 38









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Dr
a = R32
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



b = CO2
20.6
25.1
28.7
17.8
22.3
25.9
28.7
33.9
37.7
25.9
31.2
34.9



c = R125 + R134a
38.4
33.9
30.3
38.4
33.9
30.3
30.3
25.1
21.3
30.3
25.0
21.3



x = R1234yf
41.0
41.0
41.0
43.8
43.8
43.8
41.0
41.0
41.0
43.8
43.8
43.8












Approximate
a = R32
0.0
0.0
0.0
0.0


Expression of
b = CO2
−28.8r2 + 54.0r + 8.9
−28.8r2 + 54.0r + 6.1
−11.2x2 + 34.8x + 14.1
−12.8r2 + 37.2r + 10.5


Point Dr
c = R125 + R134a
100 − b − x
100 − b − x
100 − b − x
100 − b − x


Approximate
x = R1234yf
41.0
43.8
41.0
43.8


Expression of a,
e (Quadric
−28.8
−28.8
−11.2
−12.8


b, c indicated
Coefficient)


by r and x
f (Linear
54.0
54.0
34.8
37.2



Coefficient)



g (Coefficient)
8.9
6.1
14.1
10.5











e Approximate
−28.8
−0.5714x + 12.229



Expression



f Approximate
54.0
 0.8571x − 0.3429



Expression



g Approximate
−x + 49.9
−1.2857x + 66.814



Expression



a = R32 Approximate
0.0
0.0



Expression



b = CO2 Approximate
−28.8r2 + 54.0r + (−x + 4 9.9)
(−0.5714x + 12.229) r2 + (0.8571x − 0.3429)



Expression

r + (−1.2857x + 66.814)



c = (R125 + R134a)
100 − b − x
100 − b − x



Approximate Expression



















TABLE 39









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Dr
a = R32
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



b = CO2
17.8
22.3
25.9
15.1
19.6
23.2
25.9
31.2
34.9
23.2
28.5
32.2



c = R125 + R134a
38.4
33.9
30.3
38.4
33.9
30.3
30.3
25.0
21.3
30.3
25.0
21.3



x = R1234yf
43.8
43.8
43.8
46.5
46.5
46.5
43.8
43.8
43.8
46.5
46.5
46.5












Approximate
a = R32
0.0
0.0
0.0
0.0


Expression of
b = CO2
−28.8r2 + 54.0r + 6.1
−28.8r2 + 54r + 3.4
−12.8r2 + 37.2r + 10.5
−12.8r2 + 37.2r + 7.8


Point Dr
c = R125 + R134a
100 − b − x
100 − b − x
100 − b − x
100 − b − x


Approximate
x = R1234yf
43.8
46.5
43.8
46.5


Expression of a,
e (Quadric
−28.8
−28.8
−12.8
−12.8


b, c indicated
Coefficient)


by r and x
f (Linear
54.0
54.0
37.2
37.2



Coefficient)



g (Coefficient)
6.1
3.4
10.5
7.8











e Approximate
−28.8
−12.8



Expression



f Approximate
54.0
37.2



Expression



g Approximate
−x + 49.9
−x + 54.3



Expression



a = R32 Approximate
0.0
0.0



Expression



b = CO2 Approximate
−28.8r2 + 54.0r + (−x + 49.9)
−12.8r2 + 37.2r + (−x + 54.3)



Expression



c = (R125 + R134a)
100 − b − x
100 − b − x



Approximate Expression



















TABLE 40









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Dr
a = R32
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



b = CO2
15.1
19.6
23.2
11.6
16.1
19.8
23.2
28.5
32.2
19.8
25.0
28.7



c = R125 + R134a
38.4
33.9
30.3
38.4
33.9
30.2
30.3
25.0
21.3
30.2
25.0
21.3



x = R1234yf
46.5
46.5
46.5
50.0
50.0
50.0
46.5
46.5
46.5
50.0
50.0
50.0












Approximate
a = R32
0.0
0.0
0.0
0.0


Expression of
b = CO2
−28.8r2 + 54r + 3.4
−25.6r2 + 52.0r + 0.2
−12.8r2 + 37.2r + 7.8
−12.0r2 + 35.8r + 4.9


Point Dr
c = R1254 + R134a
100 − b − x
100 − b − x
100 − b − x
100 − b − x


Approximate
x = R1234yf
46.5
50.0
46.5
50.0


Expression of a,
e (Quadric
−28.8
−25.6
−12.8
−12.0


b, c indicated
Coefficient)


by r and x
f (Linear
54.0
52.0
37.2
35.8



Coefficient)



g (Coefficient)
3.4
0.2
7.8
4.9











e Approximate
 0.9143x − 71.314
 0.2286x − 23.429



Expression



f Approximate
−0.5714x + 80.571
 −0.4x + 55.8



Expression



g Approximate
−0.9143x + 45.914
−0.8286x + 46.329



Expression



a = R32 Approximate
0.0
0.0



Expression



b = CO2 Approximate
(0.9143x − 71.314) r2 + (−0.5714x + 80.571)
(0.2286x − 23.429) r2 + (−0.4x + 55.8)



Expression
r + (−0.9143x + 45.914)
r + (−0.8286x + 46.329)



c = (R125 + R134a)
100 − b − x
100 − b − x



Approximate Expression











How to determine the approximate curve of point Or


Each point Or, which is the intersection of line segment ABr and line segment CrDr, is shown in the Examples and Comparative Examples. The approximate expression of the coordinates of point Or as r and a function of the proportion (x) of R1234yf was determined based on the formulations of Or by using the least-squares method as described below.











TABLE 41









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Or
a = R32
19.0
20.3
21.4
17.1
18.5
19.5
21.4
22.8
23.8
19.5
21.0
22.0



b = CO2
8.2
11.0
13.2
6.7
9.4
11.7
13.2
16.3
18.5
11.7
14.9
17.1



c = R125 + R134a
31.8
27.7
24.4
32.4
28.3
25.0
24.4
19.9
16.7
25.0
20.3
17.1



x = R1234yf
41.0
41.0
41.0
43.8
43.8
43.8
41.0
41.0
41.0
43.8
43.8
43.8












Approximate
a = R32
−6.4r2 +14.4r + 15.8
−12.8r2 + 19.2r + 13.1
−3.2r21 + 9.6r + 17.4
−4.0r2 + 11.0r + 15.0


Expression
b = CO2
−19.2r2 + 34.4r + 0.8
−12.8r2 + 29.6r + 0.1
−7.2r2 + 21.4r + 4.3
−9.0r2 + 22.8r + 2.3


of Point Or
c = R125 + R134a
100 − a − b − x
100 − a − b − x
100 − a − b − x
100 − a − b − x


Calculation
x = R1234yf
41.0
43.8
41.0
43.8


of a
e (Quadric Coefficient)
−6.4
−12.8
−3.2
−4.0


Approximate
f (Linear Coefficient)
14.4
19.2
9.6
11.0


Expression
g (Coefficient)
15.8
13.1
17.4
15.0










Indicated
e Approximate Expression
−2.2857x + 87.314
−0.2857x + 8.5143


by r and x
f Approximate Expression
 1.7143x − 55.886
 0.5x − 10.9



g Approximate Expression
−0.9643x + 55.336
−0.8571x + 52.543












Calculation
x = R1234yf
41.0
43.8
41.0
43.8


of b
e (Quadric Coefficient)
−19.2
−12.8
−7.2
−8.0


Approximate
f (Linear Coefficient)
34.4
29.6
21.4
22.8


Expression
g (Coefficient)
0.8
0.1
4.3
2.3










Indicated
e Approximate Expression
 2.2857x − 112.91
−0.2857x + 4.5143


by r and x
f Approximate Expression
−1.7143x + 104.69
0.5x + 0.9



g Approximate Expression
 −0.25x + 11.05
−0.7143x + 33.586 


O (r, x)
a = R32 Approximate
(−2.2857x + 87.314) r2 + (1.7143x − 55.886)
(−0.2857x + 8.5143) r2 + (0.5x − 10.9)


Approximate
Expression
r + (−0.9643x + 55.336)
r + (−0.8571x + 52.543)


Expression
b = CO2 Approximate
(2.2857x − 112.91) r2 + (−1.7143x + 104.69)
(−0.2857x + 4.5143) r2 + (0.5x + 0.9)



Expression c
r + (−0.25x + 11.05)
r + (−0.7143x + 33.586)



c = (R125 + R134a)
100 − a − b − x
100 − a − b − x



Approximate Expression


















TABLE 42









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Or
a = R32
17.1
18.5
19.5
15.3
16.7
17.8
19.5
21.0
22.0
17.8
19.3
20.4



b = CO2
6.7
9.4
11.7
5.1
8.0
10.3
11.7
14.9
17.1
10.3
13.5
15.7



c = R125 + R134a
32.4
28.3
25.0
33.1
28.8
25.4
25.0
20.3
17.1
25.4
20.7
17.4



x = R1234yf
43.8
43.8
43.8
46.5
46.5
46.5
43.8
43.8
43.8
46.5
46.5
46.5












Approximate
a = R32
−12.8r2 + 19.2r + 13.1
−9.6r2 + 17.2r + 11.6
−4.0r2 + 11.0r + 15.0
−3.2r2 + 10.0r + 13.6


Expression
b = CO2
−12.8r2 + 29.6r + 0.1
−19.2r2 + 35.2r − 2.5
−8.0r2 + 22.8r + 2.3
−8.0r2 + 22.8r + 0.9


of Point Or
c = R125 + R134a
100 − a − b − x
100 − a − b − x
100 − a − b − x
100 − a − b − x


Calculation
x = R1234yf
43.8
46.5
43.8
46.5


of a
e (Quadric Coefficient)
−12.8
−9.6
−4.0
−3.2


Approximate
f (Linear Coefficient)
19.2
17.2
11.0
10.0


Expression
g (Coefficient)
13.1
11.6
15.0
13.6










Indicated
e Approximate Expression
 1.1852x − 64.711
 0.2963x − 16.978


by r and x
f Approximate Expression
−0.7407x + 51.644
−0.3704x + 27.222



g Approximate Expression
−0.5556x + 37.433
−0.5185x + 37.711












Calculation
x = R1234yf
43.8
46.5
43.8
46.5


of b
e (Quadric Coefficient)
−12.8
−19.2
−8.0
−8.0


Approximate
f (Linear Coefficient)
29.6
35.2
22.8
22.8


Expression
g (Coefficient)
0.1
−2.5
2.3
0.9










Indicated
e Approximate Expression
−2.3704x + 91.022
−8.0


by r and x
f Approximate Expression
 2.0741x − 61.244
22.8



g Approximate Expression
−0.963x + 42.278
−0.5185x + 25.011


O (r, x)
a = R32 Approximate
(1.1852x − 64.711) r2 + (−0.7407x + 51.644)
(0.2963x − 16.978) r2 + (−0.3704x + 27.222)


Approximate
Expression
r + (−0.5556x + 37.433)
r + (−0.5185x + 37.711)


Expression
b = CO2 Approximate
(−2.3704x + 91.022) r2 + (2.0741x − 61.244)
−8.0r2 + 22.8r + (−0.5185x + 25.011)



Expression c
r + (−0.963x + 442.278)



c = (R125 + R134a)
100 − a − b − x
100 − a − b − x



Approximate Expression


















TABLE 43









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Or
a = R32
15.3
16.7
17.8
13.0
14.4
15.5
17.8
19.3
20.4
15.5
17.1
18.2



b = CO2
5.1
8.0
10.3
3.1
6.1
8.5
10.3
13.5
15.7
8.5
11.7
14.0



c = R125 + R134a
33.1
28.8
25.4
33.9
29.5
26.0
25.4
20.7
17.4
26.0
21.2
17.8



x = R1234yf
46.5
46.5
46.5
50.0
50.0
50.0
46.5
46.5
46.5
50.0
50.0
50.0












Approximate
a = R32
−9.6r2 + 17.2r + 11.6
−9.6r2 + 17.2r + 9.3
−3.2r2 + 10.0r + 13.6
−4.0r2 + 1.1.4r + 10.8


Expression
b = CO2
−19.2r2 + 35.2r − 2.5
−19.2r2 + 36.0r − 4.7
−8.0r2 + 22.8r + 0.9
−7.2r2 + 21.8r − 0.6


of Point Or
c = R125 + R134a
100 − a − b − x
100 − a − b − x
100 − a − b − x
100 − a − b − x


Calculation
x = R1234yf
46.5
50.0
46.5
50.0


of a
e (Quadric Coefficient)
−9.6
−9.6
−3.2
−4.0


Approximate
f (Linear Coefficient)
17.2
17.2
10.0
11.4


Expression
g (Coefficient)
11.6
9.3
13.6
10.8










Indicated
e Approximate Expression
−9.6
−0.2286x + 7.4286


by r and x
f Approximate Expression
17.2
 0.4x − 8.6



g Approximate Expression
−0.6571x + 42.157
 −0.8x + 50.8












Calculation
x = R1234yf
46.5
50.0
46.5
50.0


of b
e (Quadric Coefficient)
−19.2
−19.2
−8.0
−7.2


Approximate
f (Linear Coefficient)
35.2
36.0
22.8
21.8


Expression
g (Coefficient)
−2.5
−4.7
0.9
−0.6










Indicated
e Approximate Expression
−19.2
 0.2286x − 18.629


by r and x
f Approximate Expression
 0.2286x + 24.571
−0.2857x + 36.086



g Approximate Expression
−0.6286x + 26.729
−0.4286x + 20.829


O (r, x)
a = R32 Approximate
−9.6r2 + 17.2r + (−0.6571x + 42.157)
(−0.2286x + 7.4286) r2 + (0.4x − 8.6) r +


Approximate
Expression

(−0.8x + 50.8)


Expression
b = CO2 Approximate
−19.2r2 + (0.2286x + 24.571) r +
(0.2286x − 18.629) r2 + (−0.2857x + 36.086) r +



Expression c
(−0.6286x + 26.729)
(−0.4286x + 20.829)



c = (R125 + R134a)
100 − a − b − x
100 − a − b − x



Approximate Expression










How to determine the approximate curves of points Fr and Pr


Each point Fr and each point Pr are shown in the Examples and Comparative Examples. The approximate expressions of the coordinates of point Fr and point Pr as r and a function of the proportion (x) of R1234yf were determined based on each formulation by using the least-squares method as described below.











TABLE 44









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Fr
a = R32
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



b = CO2
39.5
40.5
41.2
35.4
36.6
37.4
41.2
42.6
43.1
37.4
38.5
40.0



c = R125 + R134a
19.5
18.5
17.8
20.8
19.6
18.8
17.8
16.4
15.9
18.8
17.7
16.2



x = R1234yf
41.0
41.0
41.0
43.8
43.8
43.8
41.0
41.0
41.0
43.8
43.8
43.8












Approximate
a = R32
0.0
0.0
0.0
0.0


Expression of
b = CO2
−9.6r2 + 14.0r + 36.6
−12.8r2 + 17.6r + 31.8
−7.2x 2 + 14.6x + 35.7
3.2r2 + 0.4r + 36.4


Point Fr
c = R125 + R134a
100 − b − x
100 − b − x
100 − b − x
100 − b − x


Approximate
x = R1234yf
41.0
43.8
41.0
43.8


Expression of a,
e (Quadric
−9.6
−12.8
−7.2
3.2


b, c Indicated
Coefficient)


by r and x
f (Linear
14.0
17.6
14.6
0.4



Coefficient)



g (Coefficient)
36.6
31.8
35.7
36.4











e Approximate
−1.1429x + 37.257
 3.7143x − 159.49



Expression



f Approximate
 1.2857x − 38.714
−5.0714x + 222.53



Expression



g Approximate
−1.7143x + 106.89
 0.25x + 25.45



Expression



a = R32 Approximate
0.0
0.0



Expression



b = CO2 Approximate
(−1.1429x + 37.257) r2 + (1.2857x − 38.714)
(3.7143x − 159.49) r2 + (−5.0714x + 222.53)



Expression
r − (−1.7143x + 106.89)
r + (0.25x + 25.45)



c = (R125 + R134a)
100 − b − x
100 − b − x



Approximate Expression



















TABLE 45









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Fr
a = R32
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



b = CO2
35.4
36.6
37.4
31.5
32.3
33.5
37.4
38.5
40.0
33.5
35.3
35.9



c = R125 + R134a
20.8
19.6
18.8
22.0
21.2
20.0
18.8
17.7
16.2
20.0
18.2
17.6



x = R1234yf
43.8
43.8
43.8
46.5
46.5
46.5
43.8
43.8
43.8
46.5
46.5
46.5












Approximate
a = R32
0.0
0.0
0.0
0.0


Expression of
b = CO2
−12.8r2 + 17.6r + 31.8
12.8r2 − 1.6r + 31.1
3.2r2 + 0.4r + 36.4
−9.6r2 + 19.2r + 26.3


Point Fr
c = R125 + R134a
100 − b − x
100 − b − x
100 − b − x
100 − b − x


Approximate
x = R1234yf
43.8
46.5
43.8
46.5


Expression of a,
e (Quadric
−12.8
12.8
3.2
−9.6


b, c Indicated
Coefficient)


by r and x
f (Linear
17.6
−1.6
0.4
19.2



Coefficient)



g (Coefficient)
31.8
31.1
36.4
26.3











e Approximate
 9.4815x − 428.09
−4.7407x + 210.84



Expression



f Approximate
−7.1111x + 329.07
 6.963x − 304.58



Expression



g Approximate
−0.2593x + 43.1S6
−3.7407x + 200.24



Expression



a = R32 Approximate
0.0
0.0



Expression



b = CO2 Approximate
(9.4815x − 428.09) r2 + (−7.1111x + 329.07)
(−4.7407x + 210.84) r2 + (6.963x + 304.58)



Expression
r + (−0.2593x + 43.156)
r + (−3.7407x + 200.24)



c = (R125 + R134a)
100 − b − x
100 − b − x



Approximate Expression



















TABLE 46









r = R125/(R125 + R134a)



















Item
0.250
0.310
0.370
0.250
0.310
0.370
0.500
0.750
1.000
0.500
0.750
1.000























Point Fr
a = R32
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0



b = CO2
31.5
31.7
32.5
26.1
27.0
27.6
33.5
35.3
35.9
28.8
30.4
31.8



c = R125 + R134a
22.0
21.8
21.0
23.9
23.0
22.4
20.0
18.2
17.6
21.2
19.6
18.2



x = R1234yf
46.5
46.5
46.5
50.0
50.0
50.0
46.5
46.5
46.5
50.0
50.0
50.0












Approximate
a = R32
0.0
0.0
0.0
0.0


Expression
b = CO2
83.333r2 − 43.333r + 37.125
−41.667r2 + 38.333r + 19.121
−9.6r2 + 19.2r + 26.3
1.6r2 + 8.4r + 25.0


of Point Fr
c = R125 + R134a
100 − b − x
100 − b − x
100 − b − x
100 − b − x


Approximate
x = R1234yf
46.5
50.0
46.5
50.0


Expression of
e (Quadric
83.333
−41.667
−9.6
−1.6


a, b, c
Coefficient)


Indicated by
f (Linear
−43.333
38.333
19.2
8.4


r and x
Coefficient)



g (Coefficient)
37.125
19.121
26.3
25.0











e Approximate
−35.714x + 1744.0
 2.2857x − 115.89



Expression



f Approximate
 23.333x − 1128.3
−3.0857x + 162.69



Expression



g Approximate
−−5.144x + 276.32
−0.3714x + 43.571



Expression



a = R32 Approximate
0.0
0.0



Expression



b = CO2 Approximate
(−35.714x + 1744.0) r2 + (23.333x − 1128.3)
(2.2857x − 115.89) r2 + (−3.0857x + 162.69)



Expression
r + (−5.144x + 276.32)
r + (−0.3714x + 43.571)



c = (R125 + R134a)
100 − b − x
100 − b − x



Approximate



Expression



















TABLE 47









r = R125/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Pr
a = R32
12.8
14.3
15.4
12.0
13.6
14.7
15.4
11.4
7.7
14.7
9.9
6.6



b = CO2
12.2
15.2
17.4
10.1
12.9
15.1
17.4
25.1
31.5
15.1
23.5
29.6



c = R125 + R134a
34.0
29.5
26.2
53.9
56.7
58.9
26.2
22.5
19.8
58.9
67.3
73.4



x = R1234yf
41.0
41.0
41.0
43.8
43.8
43.8
41.0
41.0
41.0
43.8
43.8
43.8












Approximate
a = R32
−12.8r2 + 20.0r + 8.6
−16.0r2 + 22.8r + 7.3
2.4r2 − 19.0r + 24.3
12.0r2 − 34.2r + 28.8


Expression
b = CO2
−25.6r2 + 40.0r + 3.8
−19.2r2 + 34.4r + 2.7
−10.4r2 + 43.8r−1.9
−18.4r2 + 56.6r − 8.6


of Point Pr
c = R125 + R134a
100 − a − b − x
100 − a − b − x
100 − a − b − x
100 − a − b − x


Calculation
x = R1234yf
41.0
43.8
41.0
43.8


of a
e (Quadric Coefficient)
−12.8
−16.0
2.4
12.0


Approximate
f (Linear Coefficient)
20.0
22.8
−19.0
−34.2


Expression
g (Coefficient)
8.6
7.3
24.3
28.8










Indicated
e approximate Expression
−1.1429x + 34.057
 3.4286x − 138.17


by r and x
f Approximate Expression
  1.0x − 21.0
−5.4286x + 203.57



g Approximate Expression
−0.4643x + 27.636
 1.6071x − 41.593












Calculation
x = R1234yf
41.0
43.8
41.0
43.8


of b
e (Quadric Coefficient)
−25.6
−19.2
−10.4
−18.4


Approximate
f (Linear Coefficient)
40.0
34.4
43.8
56.6


Expression
g (Coefficient)
3.8
2.7
−1.9
−8.6










Indicated
e Approximate Expression
2.2857x − 119.31
−2.8571x + 106.74


by r and x
f Approximate Expression
 −2.0x + 122.0
 4.5714x − 143.63



g Approximate Expression
−0.3929x + 19.907
−2.3929x + 96.207


P (r, x)
a = R32 Approximate
(−1.1429x + 34.057) r2 + (1.0x − 21.0)
(3.4286x − 138.17) r2 + (−5.4286x + 203.57) +


Approximate
Expression
r + (−0.4643x + 27.636)
(1.6071x − 41.593)


Expression
b = CO2 Approximate
(2.2857x − 119.31) r2 + (−2.0x + 122.0)
(−2.8571x + 106.74) r2 + (4.5714x − 143.63)



Expression c
r + (−0.3929x + 19.907)
r + (−2.3929x + 96.027)



c = (R125 + R134a) Approximate
100 − a − b − x
100 − a − b − x



Expression


















TABLE 48









r = R15/(R125 + R134a)



















Item
0.250
0.375
0.500
0.250
0.375
0.500
0.500
0.750
1.000
0.500
0.750
1.000























Point Pr
a = R32
12.0
13.6
14.7
11.3
12.8
13.1
14.7
9.9
6.6
13.1
8.7
5.9



b = CO2
10.1
12.9
15.1
7.8
10.7
13.6
15.1
23.5
29.6
13.6
21.7
27.4



c = R125 + R134a
53.9
56.7
58.9
34.4
30.0
26.8
58.9
67.3
73.4
26.8
23.1
20.2



x = R1234yf
43.8
43.8
43.8
46.5
46.5
46.5
43.8
43.8
43.8
46.5
46.5
46.5












Approximate
a = R32
−16.0r2 + 22.8r + 7.3
−38.4r2 + 36.0r + 4.7
12.0r2 − 34.2x + 28.8
12.8r2 − 33.6r + 26.7


Expression
b = CO2
−19.2r2 + 34.4r + 2.7
23.2r + 2.0
−18.4r2 + 56.6r − 8.6
−19.2r2 + 56.4r−9.8


of Point Pr
c = R125 + R134a
100 − a − b − x
100 − a − b − x
100 − a − b − x
100 − a − b − x


Calculation
x = R1234yf
43.8
46.5
43.8
46.5


of a
e (Quadric Coefficient)
−16.0
−38.4
12.0
12.8


Approximate
f (Linear Coefficient)
22.8
36.0
−34.2
−33.6


Expression
g (Coefficient)
7.3
4.7
28.8
26.7










Indicated
e Approximate Expression
−8.2963x + 347.38
 0.2963x − 0.9778


by r and x
f Approximate Expression
 4.8889x − 191.33
 0.2222x − 43.933



g Approximate Expression
−0.963x + 49.478
−0.7778x + 62.867












Calculation
x = R1234yf
43.8
46.5
43.8
46.5


of b
e (Quadric Coefficient)
−19.2
0.0
−18.4
−19.2


Approximate
f (Linear Coefficient)
34.4
23.2
56.6
56.4


Expression
g (Coefficient)
2.7
2.0
−8.6
−9.8










Indicated
e Approximate Expression
 7.1111x − 330.67
−0.2963x − 5.4222 


by r and x
f Approximate Expression
−4.1481x + 216.09
−0.0741x + 59.844



g Approximate Expression
−0.2593x + 14.056
−0.4444x + 10.867


P (r,x)
a = R32 Approximate
(−8.2963x + 347.38) r2 + (4.8889x − 191.33)
(0.2963x − 0.9778) r2 + (0.2222x − 43.933)


Approximate
Expression
r + (−0.963x + 49.47B)
r + (−0.7778x + 62.867)


Expression
b = CO2
(7.111x − 330.67) r2 + (−4.1481x + 216.09)
(−0.2963x − 5.4222) r2 + (−0.0741x + 59.844)



Approximate Expression c
r + (−0.2593x + 14.056)
r + (−0.4444x + 10.867)



c = (R125 + R134a)
100 − a − b − x
100 − a − b − x



Approximate Expression


















TABLE 49









r = R125/(R125 + R134a)



















Item
0.250
0.310
0.370
0.250
0.310
0.370
0.500
0.750
1.000
0.500
0.750
1.000























Point Pr
a = R32
11.3
12.2
12.8
10.5
11.2
11.9
13.1
8.7
5.9
10.8
6.8
3.0



b = CO2
7.8
9.2
10.7
4.7
6.5
7.7
13.6
21.7
27.4
11.8
19.7
26.3



c = R125 + R134a
34.4
32.1
30.0
34.8
32.3
30.4
26.8
23.1
20.2
27.4
23.5
20.7



x = R1234yf
46.5
46.5
46.5
50.0
50.0
50.0
46.5
46.5
46.5
50.0
50.0
50.0












Approximate
a = R32
−41.667r2 + 38.333r + 4.3208
11.667r + 7.5833
12.8r2 − 33.6r + 26.7
1.6r2 − 18.0r + 19.4


Expression
b = CO2
13.889r2 + 15.556r + 3.0431
−83.333r2 + 76.667r −
−19.2r2 + 56.4r − 9.8
−10.41r2 + 44.6r − 7.9


of Point Pr


9.2583



c = R125 + R134a
100 − a − b − x
100 − a − b − x
100 − a − b − x
100 − a − b − x


Calculation
x = R1234yf
46.5
50.0
46.5
50.0


of a
e (Quadric Coefficient)
−41.6670
0.0000
12.8
1.6


Approximate
f (Linear Coefficient)
38.3330
11.6670
−33.6
−18.0


Expression
g (Coefficient)
4.3206
7.5833
26.7
19.4










Indicated
e Approximate Expression
11.905x − 595.24
  −3.2x + 161.6


by r and x
f Approximate Expression
−7.6189x + 392.61
 4.4571x − 240.86



g Approximate Expression
−0.9322x − 39.027
−2.0857x + 123.69












Calculation
x = R1234yf
46.5
50.0
46.5
50.0


of b
e (Quadric Coefficient)
13.889
−83.333
−19.2
−10.4


Approximate
f (Linear Coefficient)
15.556
76.667
56.4
44.6


Expression
g (Coefficient)
3.043
−9.258
−9.8
−7.9










Indicated
e Approximate Expression
−27.778x + 1305.6
2.5143x − 136.11


by r and x
f Approximate Expression
17.46x − 796.35
−3.3714x + 213.17



g Approximate Expression
−3.5147x + 166.48
 6.5429x − 35.043


P (r, x)
a = R32 Approximate
(11.905x − 595.24) r2 +
(−3.2x + 161.6) r2 +


Approximate
Expression
(−7.6189x + 392.61) r + (0.9322x − 39.027)
(4.4571x − 240.86) r + (−2.0857x + 123.69)


Expression
b = CO2
(−27.778x + 1305.6) r2 +
(2.5143x − 136.11) r2 +



Approximate Expression c
(17.46x − 796.35) r + (−3.5147x + 166.48)
(−3.3714x + 213.17) r + (0.5429x − 35.043)



c = (R125 + R134a)
100 − a − b − x
100 − a − b − x



Approximate Expression










  • 1 Description of the Reference Numerals


  • 1: ignition source


  • 2: sample inlet


  • 3: springs


  • 4: 12-liter glass flask


  • 5: electrodes


  • 6: stirrer


  • 7: insulated chamber


  • 10: refrigerating machine


  • 11: refrigerant circuit


  • 12: compressor


  • 13: heat-source-side heat exchanger


  • 14: expansion mechanism


  • 15: user-side heat exchanger


  • 16: fan


  • 17: solenoid valve


  • 18: four-way switching valve


  • 19: heating means


  • 20: bypass flow path


Claims
  • 1. A composition comprising a refrigerant, the refrigerant comprising difluoromethane (R32), carbon dioxide (CO2), pentafluoroethane (R125), 1,1,1,2-tetrafluoroethane (R134a), and 2,3,3,3-tetrafluoropropene (R1234yf),whereinwhen the mass % of R32 is a, the mass % of CO2 is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,1-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 ((−2.2857x+87.314)r2+(1.7143x−55.886)r+(−0.9643x+55.336), (2.2857x−112.91)r2+(−1.7143x+104.69)r+(−0.25x+11.05), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or 1-1-2) when 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((−0.2857x+8.5143)r2+(0.5x−10.9)r+(−0.8571x+52.543), (−0.2857x+4.5143)r2+(0.5x+0.9)r+(−0.7143x+33.586), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,or on the line segments, or 1-2-1) when 46.5≥x≥43.8, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 ((1.1852x−64.711)r2+(−0.7407x+51.644)r+(−0.5556x+37.433), (−2.3704x+91.022)r2+(2.0741x−61.244)r+(−0.963x+42.278), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or1-2-2) when 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((0.2963x−16.978)r2+(−0.3704x+27.222)r+(−0.5185x+37.711), −8.0r2+22.8r+(−0.5185x+25.011), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,1-3-1) when 50≥x≥46.5, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 (−9.6r2+17.2r+(−0.6571x+42.157), −19.2r2+(0.2286x+24.571)r+(−0.6286x+26.729), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, (0.9143x−71.314)r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or1-3-2) when 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((−0.2286x+7.4286)r2+(0.4x−8.6)r+(−0.8x+50.8), (0.2286x−18.629)r2+(−0.2857x+36.086)r+(−0.4286x+20.829), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA.
  • 2. A composition comprising a refrigerant, the refrigerant comprising R32, CO2, R125, R134a, and R1234yf,whereinwhen the mass % of R32 is a, the mass % of CO2is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,2-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a triangular region surrounded by line segments that connect the following points:point Fr=0.25 to 0.5 (0.0, (−1.1429x+37.257)r2+(1.2857x−38.714)r−(−1.7143x+106.89), 100-b-x),
  • 3. The composition according to claim 1, comprising R32, CO2, R125, R134a, and R1234yf in a total amount of 99.5 mass % or more based on the entire refrigerant.
  • 4. The composition according to claim 1, comprising a refrigeration oil.
  • 5. The composition according to claim 1, wherein the refrigerant is for use as an alternative refrigerant for R410A.
  • 6. A refrigerating machine comprising the composition of claim 1.
  • 7. The refrigerating machine according to claim 6, comprising a heat exchanger in which a flow of the refrigerant and a flow of an external heat medium are in countercurrent flow.
  • 8. The refrigerating machine according to claim 6, comprising a heat-source-side heat exchanger and a user-side heat exchanger, wherein when the user-side heat exchanger functions as an evaporator, the evaporating temperature of the refrigerant is 0° C. or below.
  • 9. A refrigerating machine comprising a refrigerant comprising R32, CO2, R125, R134a, and R1234yf, anda heat exchanger in which a flow of the refrigerant and a flow of an external heat medium are in countercurrent flow,whereinwhen the mass % of R32 is a, the mass % of CO2 is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,1-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 ((−2.2857x+87.314)r2+(1.7143x−55.886)r+(−0.9643x+55.336), (2.2857x−112.91)r2+(−1.7143x+104.69)r+(−0.25x+11.05), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or1-1-2) when 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((−0.2857x+8.5143)r2+(0.5x−10.9)r+(−0.8571x+52.543), (−0.2857x+4.5143)r2+(0.5x+0.9)r+(−0.7143x+33.586), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,or on the line segments, or1-2-1) when 46.5≥x≥43.8, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 ((1.1852x−64.711)r2+(−0.7407x+51.644)r+(−0.5556x+37.433), (−2.3704x+91.022)r2+(2.0741x−61.244)r+(−0.963x+42.278), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or1-2-2) when 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((0.2963x−16.978)r2+(−0.3704x+27.222)r+(−0.5185x+37.711), −8.0r2+22.8r+(−0.5185x+25.011), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,1-3-1) when 50≥x≥46.5, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 (−9.6r2+17.2r+(−0.6571x+42.157), −19.2r2+(0.2286x+24.571)r+(−0.6286x+26.729), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, (0.9143x−71.314)r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or1-3-2) when 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((−0.2286x+7.4286)r2+(0.4x−8.6)r+(−0.8x+50.8), (0.2286x−18.629)r2+(−0.2857x+36.086)r+(−0.4286x+20.829), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA.
  • 10. A refrigerating machine comprising a refrigerant comprising R32, CO2, R125, R134a, and R1234yf,a heat-source-side heat exchanger, anda user-side heat exchanger,wherein when the user-side heat exchanger functions as an evaporator, the evaporating temperature of the refrigerant is 0° C. or below,whereinwhen the mass % of R32 is a, the mass % of CO2 is b, the mass % of R125 is c1, the mass % of R134a is c2, the mass % of the sum of R125 and R134a is c, the mass % of R1234yf is x, and c1/(c1+c2) is r based on the sum of R32, CO2, R125, R134a, and R1234yf in the refrigerant,in a ternary composition diagram having R32 at a point of (100-x) mass %, CO2 at a point of (100-x) mass %, and the sum of R125 and R134a at a point of (100-x) mass % as vertices,1-1-1) when 43.8≥x≥41, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 ((−2.2857x+87.314)r2+(1.7143x−55.886)r+(−0.9643x+55.336), (2.2857x−112.91)r2+(−1.7143x+104.69)r+(−0.25x+11.05), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q, and line segment QA, or1-1-2) when 43.8≥x≥41, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((−0.2857x+8.5143)r2+(0.5x−10.9)r+(−0.8571x+52.543), (−0.2857x+4.5143)r2+(0.5x+0.9)r+(−0.7143x+33.586), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, (−0.5714x+12.229)r2+(0.8571x−0.3429)r+(−1.2857x+66.814), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,or on the line segments, or1-2-1) when 46.5≥x≥43.8, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 ((1.1852x−64.711)r2+(−0.7407x+51.644)r+(−0.5556x+37.433), (−2.3704x+91.022)r2+(2.0741x−61.244)r+(−0.963x+42.278), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, −28.8r2+54.0r+(−x+49.9), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or1-2-2) when 46.5≥x≥43, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0((0.2963x−16.978)r2+(−0.3704x+27.222)r+(−0.5185x+37.711), −8.0r2+22.8r+(−0.5185x+25.011), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, −12.8r2+37.2r+(−x+54.3), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA,1-3-1) when 50≥x≥46.5, and 0.5≥r≥0.25, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.25 to 0.5 (−9.6r2+17.2r+(−0.6571x+42.157), −19.2r2+(0.2286x+24.571)r+(−0.6286x+26.729), 100-a-b-x),point Dr=0.25 to 0.5 (0.0, (0.9143x−71.314)r2+(−0.5714x+80.571)r+(−0.9143x+45.914), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.25 to 0.5 to Q and line segment QA, or1-3-2) when 50≥x≥46.5, and 1.0≥r≥0.5, coordinates (a,b,c) fall within a quadrangular region surrounded by line segments that connect the following points:point A (−0.6902x+43.307, 100-a-x, 0.0),point Or=0.5 to 1.0 ((−0.2286x+7.4286)r2+(0.4x−8.6)r+(−0.8x+50.8), (0.2286x−18.629)r2+(−0.2857x+36.086)r+(−0.4286x+20.829), 100-a-b-x),point Dr=0.5 to 1.0 (0.0, (0.2286x−23.429)r2+(−0.4x+55.8)r+(−0.8286x+46.329), 100-b-x), andpoint Q (0.0, 100-x, 0.0),or on the line segments, excluding any point on line segment Dr=0.5 to 1.0 to Q and line segment QA.
Priority Claims (1)
Number Date Country Kind
2019-084708 Apr 2019 JP national
Continuations (1)
Number Date Country
Parent PCT/JP2020/017777 Apr 2020 US
Child 17508074 US