The present invention relates to a water deliver system and, more particularly, to an electronic proportioning valve configured to mix hot water and cold water to form a mixed water having a desired temperature and flow rate.
Systems for mixing hot water and cold water in a manner providing for a mixed water of a desired temperature are well known in the art. For example, it is known to provide an electronically controlled proportioning valve for mixing hot water and cold water to provide a mixed water of a desired temperature. Typically, such a system includes a controller operating in a feedback manner such that a temperature measured by a sensor in the outlet of the system is compared to a desired mixed water temperature. The opening and closing of the hot water valve and the cold water valve are controlled based upon the difference between the measured temperature and the desired temperature of the mixed water.
Such known proportioning valves typically exhibit a slow response time. More particularly, there may be a significant delay between the sensor measuring the mixed water temperature and the mixed water temperature being changed in response thereto. As such, large temperature spikes in the mixed water may form as a result of variations of input hot and cold water temperature and pressure. Additionally, traditional proportioning valves operating in a feedback manner typically cause oscillation of the hot and cold water valve positions as the system “hunts” for the desired temperature.
According to an illustrative embodiment of the present invention, a water delivery system is provided for connection to a cold water source, a hot water source, and a mixed water outlet. The water delivery system is configured to provide a mixed water of a desired water temperature to the mixed water outlet. The water delivery system includes a cold water valve adapted to be coupled to the cold water source for receiving cold water and having a cold water outlet. A hot water valve is adapted to be coupled to the hot water source for receiving hot water and has a hot water outlet. A mixing chamber or fluid mixer is configured to receive cold water from the cold water outlet, to receive hot water from the hot water outlet, and to provide a mixed water to the mixed water outlet. A controller is operably coupled to the cold water valve and the hot water valve. The controller is configured to adjust the cold water valve and the hot water valve to regulate a mixed water temperature of the mixed water to substantially correspond to the desired water temperature. The controller is further configured to regulate the mixed water temperature based on at least one characteristic of the cold water, at least one characteristic of the hot water, and at least one characteristic of the mixed water. The controller operates alternatively in a feed forward manner and a feedback manner. The feed forward manner provides for the adjustment of the cold water valve and the hot water valve based on the at least one characteristic of the hot water and the at least one characteristic of the cold water. The feedback manner provides for the adjustment of the cold water valve and the hot water valve based on the at least one characteristic of the mixed water. The controller operates in the feed forward manner when at least one of the cold water source and the hot water source is unstable.
According to a further illustrative embodiment of the present invention, a method is provided for controlling a water delivery system to provide a mixed water to a mixed water outlet. The water delivery system includes a cold water valve connected to a cold water source, a hot water source connected to a hot water source, and a mixer for combining cold water from the cold water valve and hot water from the hot water valve, the mixer being connected to the mixed water outlet. The method includes the steps of receiving an input representing a desired temperature of the mixed water being provided to the mixed water outlet, and monitoring at least one characteristic of the cold water provided to the cold water valve, at least one characteristic of the hot water provided to the hot water valve, and at least one characteristic of the mixed water provided to the mixed water outlet. The method further comprises the steps of controlling the cold water valve and the hot water valve in a feed forward manner if at least one of the cold water and the hot water is unstable. The method further comprises the step of controlling the cold water valve and the hot water valve in a feedback manner only if both the cold water source and the hot water source are stable.
In yet another illustrative embodiment of the present invention, a proportioning valve system is provided for connection to a cold water source, a hot water source, and a mixed water outlet. The proportioning valve system is configured to deliver a mixed water of a desired temperature to the mixed water outlet. The proportioning valve system includes a cold water valve configured to be in fluid communication with a cold water source for receiving cold water. A cold water temperature sensor is configured to measure the temperature of the cold water supplied to the cold water valve from the cold water source and to provide a cold water temperature signal indicative thereof. A cold water pressure sensor is configured to measure the pressure of the cold water supplied to the cold water valve from the cold water source and provide a cold water pressure signal indicative thereof. A hot water valve is configured to be in fluid communication with the hot water source for receiving hot water. A hot water temperature sensor is configured to measure the temperature of the hot water supplied to the hot water valve from the hot water source and to provide a hot water temperature signal indicative thereof. A hot water pressure sensor is configured to measure the pressure of the hot water supplied to the hot water valve from the hot water source and provide a hot water pressure signal indicative thereof. A user input device is configured to receive the desired temperature from the user and to provide a set temperature signal indicative of the desired temperature. A controller is in communication with the cold water temperature sensor, the cold water pressure sensor, the hot water temperature sensor, the hot water pressure sensor, and the user input device. The controller is configured to regulate the mixed water temperature of the mixed water to substantially correspond to the desired water temperature by adjusting in a feed forward manner the cold water valve and the hot water valve in response to the cold water temperature signal, the cold water pressure signal, the hot water temperature signal, the hot water pressure signal, and the set temperature signal.
According to a further illustrative embodiment of the present invention, a proportioning valve system is provided for connection to a cold water source, a hot water source, and a mixed water outlet. The proportioning valve system is configured to deliver a mixed water of the desired temperature to the mixed water outlet. The proportioning valve system includes a cold water valve configured to be in fluid communication with the cold water source for receiving cold water. A cold water servo motor is coupled to the cold water valve and is configured to control the position of the cold water valve. A cold water temperature sensor is configured to measure the temperature of the cold water supplied to the cold water valve from the cold water source and to provide a cold water temperature signal indicative thereof. A hot water valve is configured to be in fluid communication with the hot water source. A hot water servo motor is coupled to the hot water valve and is configured to control the position of the hot water valve. A hot water temperature sensor is configured to measure the temperature of the hot water supplied to the hot water valve from the hot water source and to provide a hot water temperature signal indicative thereof. A user input device is configured to receive a desired temperature from the user and to provide a set temperature signal indicative of the desired temperature. A controller is in communication with the cold water temperature sensor, the hot water temperature sensor, and the user input device. The controller is configured to generate a cold water pulse width modulated control signal to control the cold water servo motor for positioning the cold water valve in response to the cold water temperature signal, the hot water temperature signal, and the set temperature signal. The controller is further configured to generate a hot water pulse width modulated control signal to control the hot water servo motor for positioning the hot water valve in response to the hot water temperature signal, the cold water temperature signal, and the set temperature signal.
According to yet another illustrative embodiment of the present invention, a water delivery system includes a valve configured to be coupled to a water source for receiving water, and defining a valve restriction. An actuator is operably coupled to the valve and is configured to control the position of the valve. An outlet is coupled to the valve, and a fluid delivery device is coupled to the outlet and defines an outlet restriction. An inlet pressure sensor is configured to measure pressure of the water provided to the valve. An outlet pressure sensor is configured to measure pressure of the water supplied to the outlet. A controller is configured to control the actuator for adjusting the valve in response to the inlet pressure and the outlet pressure, such that the valve restriction is substantially equal to the outlet restriction.
According to a further illustrative embodiment of the present invention, a water delivery system is provided for connection to a cold water source, a hot water source, and a mixed water outlet. The water delivery system is configured to provide a mixed water of a desired temperature to the mixed water outlet. The water delivery system includes a cold water valve adapted to be coupled to the cold water source and having a cold water outlet. A hot water valve is adapted to be coupled to the hot water source and includes a hot water outlet. A fluid mixer is configured to receive cold water from the cold water outlet, and to receive hot water from the hot water outlet. The fluid mixer includes a mixing element configured to separate the cold water into a plurality of spaced apart cold water streams and to separate the hot water into a plurality of spaced apart hot water streams. The fluid mixer is further configured to mix individual ones of the cold water streams and the hot water streams into a plurality of spaced apart mixed water streams. The fluid mixer is further configured to combine the plurality of mixed water streams into a combined mixed water provided to the water outlet. A controller is operably coupled to the cold water valve and the hot water valve, and is configured to adjust the cold water valve and the hot water valve to regulate a mixed water temperature of the mixed water to substantially correspond to the desired water temperature.
Additional features and advantages of the present invention will become apparent to those skilled in the art upon consideration of the following detailed description of the illustrative embodiment exemplifying the best mode of carrying out the invention as presently perceived.
The detailed description of the drawings particularly refers to the accompanying figures in which:
Referring initially to
Both the cold water valve 12 and the hot water valve 22 may be of conventional design and illustratively include a rotatable valving member 29 (
With further reference to the illustrative embodiment of
While servo motors 30, 32 are utilized in the illustrative embodiment, it should be appreciated that other suitable actuators may be substituted therefor. For example, in a further illustrative embodiment, a direct current (DC) motor with feedback control may replace each servo motor 30, 32. More particularly, an encoder, such as a Hall-effect device (not shown), or any other device or circuit that produces a wave form in response to motor operation, may be operably coupled to each DC motor. As known in the art, a Hall-effect device changes state based on magnetic field. In the further illustrative embodiment, each DC motor has dual shafts, one extending forwardly and one extending rearwardly. A magnetic disk with alternating poles is placed on the rear shaft and above the Hall-effect device. When the motor turns the shafts, the output of the Hall-effect is a square wave. The position of the motor shafts may be determined by counting wave pulses. As an example, if the motor was attached to a 180 degree valve, a predetermined number of pulses would be generated as the motor shafts rotated from a 0 degree position to a 180 degree position. Assuming for discussion, 360 pulses are generated in such a situation, then for every 2 pulses the output shafts have rotated by 1 degree. As such, if a user desired to rotate the motor shafts by 90 degrees from the 0 degree position, the system would activate the motor and then deactivate the motor when 180 pulses have been detected. If a user wanted to then place the motor shafts in the 45 degree position, the system would activate the motor so that the shafts rotate in an opposite direction, and then deactivate the motor after detecting 90 pulses.
Referring now to
A hot water temperature sensor 42 is operably coupled to the inlet 24 of the hot water valve 22 and is configured to measure a temperature (TH) of the hot water 27 flowing into the hot water valve 22. The sensor 42 is further configured to send a hot water temperature signal 44 to the controller 36 indicative of the measured temperature (TH) of the hot water 27. A hot water pressure sensor 46 is likewise operably coupled to the inlet 24 of the hot water valve 22 and is configured to measure the pressure (PH) of the hot water 27 contained therein. The hot water pressure sensor 46 sends a signal 48 indicative of the measured hot water pressure (PH) to the controller 36.
As further detailed herein, the fluid mixer 20 receives the cold water 17 from the outlet 18 of the cold water valve 12 and the hot water 27 from the outlet 28 of the hot water valve 22, and then mixes the cold water 17 and the hot water 27 to form a mixed water 49 which is then discharged through a mixed water outlet 50. A mixed water temperature sensor 52 is operably coupled to the mixed water outlet 50 and is configured to measure the temperature (TM) of the mixed water 49 flowing therethrough. The mixed water temperature sensor 52 is configured to send a signal 54 indicative of the measured mixed water temperature (TM) to the controller 36. A mixed water pressure sensor 56 is operably coupled to the mixed water outlet 50 and is configured to measure the pressure (PM) of the mixed water 49 contained therein. The mixed water pressure sensor 56 is configured to send a signal 58 indicative of the mixed water pressure (PM) to the controller 36.
As shown in
With further reference to
Additional details of an illustrative embodiment fluid mixer 20 for use in connection with the proportioning valve system 10 of the present invention are detailed in U.S. patent application Ser. No. ______, entitled “Fluid Mixer” (Attorney Docket No. DFC-P0022), filed concurrently herewith, which is assigned to the assignee of the present invention and is expressly hereby incorporated by reference.
Referring further to
A user interface 74 is in communication with the controller 36 and is configured to receive input from a user. More particularly, the user interface 74 receives commands from the user which controls operation of the controller 36. The user interface 74 may comprise any suitable device including a control panel hard-wired to the controller 36 of the type including a display screen and a plurality of user activated buttons. Alternatively, the user interface 74 may communicate with the controller 36 through a wireless interface, such as radio frequency or infrared transmissions. In a further illustrative embodiment, the user interface 74 may include a voice recognition module such that the user may control operation of the controller 36 by providing verbal instructions. Further, the user interface 74 may be located at a variety of locations based upon user preference. For example, the user interface 74 may be positioned on a faucet head, at the side or front of a sink to facilitate access by handicapped users, or at the side or outside of a shower (not shown). A conventional communications bus may be utilized to facilitate communication between the controller 36 and the various components illustrated in
A conventional power source 76 is coupled to the controller 36 and is configured to provide power to the electrical components of the system 10, including the cold water servo motor 30, the hot water servo motor 32, and the user interface 74. The power source 76 may include a backup battery which is rechargeable through a hydrogenerator (not shown). More particularly, the fluid mixer 20 may include a hydrogenerator for generating electrical current in response to water flow through the system 10. The hydrogenerator may perform battery charging and support power needs of the system 10.
Referring now to
Referring further to
The method 100 then continues to block 108 where the controller 36 reads the set points for temperature and flow. In the illustrative embodiment the set point for temperature is stored in the memory 73 as the variable TSet, and the set point for flow is stored in the memory 73 as the variable QSet. Both TSet and QSet are illustratively entered by the user, at the user interface 74 as the desired mixed water temperature and flow rate, respectively. In other words, the variables TSet and QSet are initially determined by input at the user interface 74. The variable QMax is initially defined as the maximum combined flow rate through the cold and hot water valves 12 and 22. Next, at block 110 the controller 36 enters into the feed forward function 200, shown in
The feed forward function or routine 200 begins at block 202 upon power up by the main program 100. The routine 200 then continues to decision block 204 where the controller 36 queries whether the hot water temperature TH is greater than or equal to the set water temperature TSet, and if the cold water temperature TC is less than or equal to the set water temperature TSet. If this question is answered in the negative, then the process 200 continues to block 206, where it is further queried whether the hot water temperature TH is less than the set water temperature TSet, and if the maximum flow rate QMax is greater than 0.001. As noted above, at block 108 the value of QMax is initially set to be equal to the value of QSet. In other words, at decision block 206 the controller 36 is determining whether the user has set a temperature TSet greater than the hot water temperature TH, and has set a flow rate greater than approximately 0. If this is answered in the affirmative, then the controller 36 sets a variable CDuty to a predetermined value, illustratively 750 μs, and sets a variable HDuty to a predetermined value, illustratively 1760 μs.
CDuty is the pulse width, or duration, of the pulse width modulated control signal 31 supplied to the cold water servo motor 30. Likewise the variable HDuty is the pulse width, or duration, of the pulse width modulated control signal 33 supplied to the hot water servo motor 32. For the servo motors 30, 32 utilized in the illustrated embodiment, a pulse width of 750 μs closes the respective valve 12, 22, while a pulse width of 1760 μs opens the respective valve 12, 22. It should be appreciated that the values for CDuty and HDuty may vary depending upon the particular actuators 30, 32 utilized. As such, at block 208, the controller 36 sets valves for the control signal 31 which will cause the cold water servo motor 30 to close the cold water valve 12, and sets values for the control signal 33 which will cause the hot water servo motor 32 to open the hot water valve 22. In other words, since the user has requested a flow of mixed water 49 having a temperature exceeding that available from the hot water source 26, the system 10 responds by opening the hot water valve 22 and closing the cold water valve 12. The process then continues to block 210 where the values for TSet, QMax, PH, PC, TH, and TC are stored to temporary variables TSet
If the query in decision block 206 is answered in the negative, then the process continues to decision block 212 where the controller 36 determines whether the cold water temperature TC is greater than the set water temperature TSet, and whether the maximum flow rate QMax is greater than approximately 0. If this is answered in the affirmative, the process continues to block 214, where CDuty is set to a predetermined value, illustratively 1760 μs, and HDuty is set to a predetermined value, illustratively 750 μs. In other words, the values of CDuty and HDuty are set in order to instruct the cold water servo motor 30 to open the cold water valve 12 and to instruct the hot water servo motor 32 to close the hot water valve 22. Moreover, since the user has requested a flow of mixed water 49 having a temperature below that available from the cold water source 16, the system 10 responds by setting values for control signals 31 and 33 which will cause the opening of the cold water valve 12 and the closing of the hot water valve 22. After block 214, the process continues at block 210.
If the query at decision block 212 is answered in the negative, then the process continues to block 216 where both CDuty and HDuty are set to a predetermined value, illustratively 750 μs. In other words, if the query in decision block 212 is answered in the negative, then the flow rate QMax is substantially equal to 0. As such, the values of CDuty and HDuty are set in a manner to provide for movement of the cold water servo motor 30 and hot water servo motor 32 to close the cold water valve 12 and hot water valve 22 respectively. The process then continues to block 210.
Returning to decision block 204, should the hot water temperature TH be greater than or equal to the set water temperature TSet, and the cold water temperature TC be less than or equal to the set water temperature TSet, then the process continues to block 218. At block 218, a series of calculations are performed by the controller 36 based upon conservation of energy principles. Initially, using equation (a) of block 218, the temperature TRange is calculated as the difference between the hot water temperature TH and the cold water temperature TC. The controller 36 then plots TRange as a line on a graph having its x-axis defined as the set temperature TSet, and its y-axis defined as the ratio of hot water 27 to cold water 17 in the mixed water 49. An illustrative example of such a graph is shown in
Next, the process continues to block 220 where in equation (a) the controller 36 finds the coefficient of valve CVH for the hot water valve 22 by dividing flow rate QH by the square root of the hot water pressure PH. Likewise, the coefficient of valve CVC for the cold water valve 12 is calculated by dividing the flow rate QC by the square root of the cold water pressure PC. As is known in the art, the capacity and flow characteristics of a valve are often expressed in terms of a coefficient of valve or flow coefficient (CV). It is generally understood that the value of (CV) is defined as the flow of water through a valve at 60° F. in gallons/minute at a pressure drop of 1 lb./in2.
After the coefficient of valves CVH, CVC are found, they are used as independent variables of the linear equations (c) and (d) of block 220, which defines the relationship between valve angles, HAngle and CAngle, and coefficient of valves, CVH and CVC, respectively. Using these equations, valve angles for each valve 12, 22 are generated. When the valves 12, 22 are placed at these angles HAngle and CAngle in a full mixing system 10, the system 10 will output a mixed temperature TM and a flow rate QM equal to the mixed temperature set point TSet and the flow rate set point QSet.
Continuing to block 222, the controller 36 utilizes the valve angles HAngle and CAngle in equations (a) and (b) to calculate values for variables H-μs and C-μs, respectively. The variables H-μs and C-μs are then converted at equations (c) and (d) of block 222 to the pulse width, or duration, HDuty and CDuty in the pulse width modulation control signals 31 and 33. The process then continues to block 210 where, as detailed above, the controller 36 stores values for certain temporary variables in memory 73. More particularly, the value for TSet is assigned to the temporary variable Tset
At block 112, the controller 36 updates the positions of the servo motors 30 and 32 based upon the calculated values of HDuty and CDuty in the feed forward function 200. More particularly, the values for the control signals 31 and 33 calculated in the feed forward routine 200 are transmitted to the servo motors 30 and 32, which respond accordingly. Next, the process continues to block 114, where the controller 36 sets the variables LCount, StableCount, QMax, and UseSet to 0. The process then continues to block 116, where the controller 36 reads the input sensors 34, 38, 42, 46, 52, and 56 in the manner detailed above with respect to block 106.
The process 100 continues at block 118 where the controller 36 obtains the set points TSet and QSet in the manner detailed above with respect to block 108. The process continues to block 120, where the controller 36 determines whether the variable UseSet is equal to one. Decision block 120 generally determines whether the value of QMax is equal to the user set point QSet or has been calculated during additional processing, as further detailed herein. If the value of UseSet equals one, then the process continues to block 122 where QMax is set to be equal to the variable QMax.
The process 100 then continues to block 124 where the controller 36 queries whether QMax is greater than or equal to QSet. If so, the process 100 continues to block 126 where QMax is set equal to QSet. In other words, if the user has set the desired flow rate QSet to be less than or equal to the maximum flow rate QMax of the valves 12, 22, then the controller 36 sets QMax to be equal to Qset.
As detailed above, the variable QMax is used in the feed forward function 200 to calculate flow rates of the cold water and the hot water, QC and QH, respectively. The variable QMax is set at block 126 to be the lowest of the maximum flow rate QMax and the set point flow rate QSet For example, if the maximum flow rate QMax is 2 gallons per minute and the user desires a flow rate QSet of 1 gallon per minute, then block 126 sets QMax to be equal to 1 gallon per minute. If not, then the process 100 continues directly to block 128.
At decision block 128, the controller 36 queries whether a large system change has occurred. More particularly, in the illustrative embodiment, the controller 36 queries whether the hot water pressure PH or cold water pressure PC changed by at least 5 psi, whether the hot water temperature TH or cold water temperature TC changed by at least 10 degrees, whether the set temperature TSet changed by at least degrees, and whether the maximum flow QMax changed by at least 0.1 gallons per minute. If none of these events occurred, then the controller 36 determines that the system inputs are substantially stable and the process continues to decision block 130.
More particularly, at block 128 the controller 36 recalls the temporary variables, PH
At decision block 130, the controller 36 queries whether QMax is less than or equal to 0. If not, the process then continues to decision block 132. At decision block 132 the controller 36 queries whether the value of LCount equals 5, whether TH is greater than or equal to TSet, whether TC is less than or equal to TSet, and whether QMax is not equal to 0. If any one of these conditions is not true, then the process continues to block 134 where a counter variable LCount is incremented by 1. Generally speaking, block 134 provides a loop counter such that a predetermined amount of time passes where substantially stable inputs are supplied to the system 10 before the controller 36 enters the feed back function 300 at decision block 136.
If decision block 132 is answered in the affirmative, the process 100 continues to decision block 136. At decision block 136, the feed back function 300 of
Returning to
At block 324, the controller 36 queries whether TM is less than or equal to TSet minus 1. If TM is not less than or equal to TSet minus 1, then the process 300 continues to decision block 326 where the controller 36 queries whether TM is greater than or equal to TSet plus 1. If decision block 326 is answered in the negative, then the mixed water temperature TM is within 1 degree of the set water temperature TSet and the process continues to block 328 without any adjustment values being calculated for either the cold water servo motor 30 or the hot water servo motor 32. At block 328, the controller 36 stores values for certain temporary variables in memory 73. More particularly, the value for TSet is assigned to the temporary variable TSet
Returning to decision block 324, if the mixed water temperature TM is determined to be less than or equal to the value of TSet minus 1, then the process continues to block 330. In this situation, the mixed water temperature TM is more than 1 degree below the set water temperature TSet. At block 330, the angle of the hot water valve 22 is increased by the variable pSpeed and the angle of the cold water valve 12 is decreased by the variable pSpeed. The process 300 continues at decision block 332 where the values of HDuty and CDuty are calculated in the manner detailed above with respect to block 222. The feedback function 300 then exits at block 338, where the main program 100 is resumed at block 138.
Returning now to decision block 326, if the value of TM is determined to be greater than or equal to the value TSet plus 1, then the process 300 continues to block 334. In other words, if the mixed water temperature TM is more than 1 degree above the value of the set temperature TSet, then the process 300 continues to block 334 where the value of HAngle is decreased by pSpeed and the value of CAngle is increased by pSpeed. The process then continues at block 336 where the values of HDuty and CDuty are calculated in the manner detailed above with respect to block 222.
As noted above, the feed back function 300 exits at block 338 and returns to the main control function 100. The process 100 then continues at block 138 where the position of the servo motors 30 and 32 are updated in a manner similar to that detailed above with respect to block 112. At block 140, the variable LCount is reset to 0. The process then continues to block 152 for the restriction compensation function as detailed below.
Returning now to decision block 130, if QMax is determined to be less than or equal to 0, then no water is set to flow through either valve 12 or 22. As such, at block 142, both variables HDuty and CDuty are set to 47; which is the predetermined valve off position. At block 144, the modulated pulse width control signal 31, 33 is sent to the respective motors 30, 32, which then place the valves 12, 22 in their off or closed positions. The process then continues to block 152 for the restriction compensation function as detailed below.
Returning now to decision block 128, if a large system input change occurs, then the process continues to decision block 146. More particularly, if the hot water pressure PH or cold water pressure PC changes by at least 5 psi, if the hot water temperature TH or cold water temperature TC changes by at least 10 degrees, if the set water temperature TSet changes by more than 5 degrees, or if the maximum flow rate QMax changes by more than 0.1 gallons per minute, then the process 100 continues to block 146, where the variable UseSet is set equal to 1 and the variable StableCount is set equal to 0. The process then continues to decision block 148, where the feed forward function 200 is initiated. The feed forward function 200 was described in detail above in connection with block 110. At block 150, the motors 30 and 32 are updated in the manner detailed above with respect to block 112. Next, the process 100 continues at block 152 where the restriction compensation function 400 of
The restriction compensation function 400 adjusts the sum of both valve restrictions to match the outlet restriction 60. A theoretical maximum flow rate QM
The restriction compensation function 400 begins at start block 402 and proceeds to block 404, where the theoretical flow rate QM
(CVH*√{square root over ((PH−PM))})+(CVC*√{square root over ((PC−PM))}).
The process 400 then continues to decision block 406 where the controller 36 queries whether the variable StableCount equals a predetermined value, illustratively five. If StableCount is not equal to five, then the process continues to block 408, where the variable StableCount is incremented by one. Generally, the blocks 406 and 408 function as a counter loop, requiring the restriction compensation adjustment to wait five processing loops before it acts. As such, it should be appreciated that the counter loop could be eliminated if no wait is desired before restriction compensation occurs.
If the variable StableCount equals five, then the process continues to block 410, where the controller 36 determines whether the value of QM
Returning to block 410, if the controller 36 determines that QM
The restriction compensation function 400 at blocks 410 and 418 will continue to compensate for the restriction 60 by decreasing QMax until it is nearly equal to QM
Although the invention has been described in detail with reference to certain preferred embodiments, variations and modifications exist within the spirit and scope of the invention as described and defined in the following claims.