The present invention relates to a temperature monitoring and control system for a negative temperature coefficient (“NTC”) heater element and, in particular, relates to a control system that utilizes conventional circuitry without the need for an external temperature sensing device on the heater element.
A heater element that has an NTC of resistance will decrease in resistance as it heats up. Carbon based heater elements, such as graphite and carbon fiber heaters, have an NTC of resistance and, thus, can be referred to as NTC heater elements.
In heater temperature control, the thermal conductivity of a heated substrate or object is almost always relied upon to pass thermal energy to a sensor or thermostat. When the thermal conductivity is low, a delayed response is often experienced. This delay can result in catastrophic failure of the heater. A similar delay can be the result of improper mounting of the heater element or the use of the beater element for an improper application. For example, if the heater element is not held or adhered securely to the object/material to be heated, the effective thermal conductivity can be extremely low, even if the materials have a high thermal conductivity. In this case, the “effective thermal conductivity” can be defined as the material's thermal conductivity plus the thermal contact conductivity or the conductivity across the interface between the heater and the heated object/material. Often, due to thermal expansion or aging materials, the thermal transfer efficiency degrades over time. Eventually, the temperature climbs to an often dangerous level. The present invention, however, can help to prevent this temperature increase.
The thermal lag mentioned above can also cause a great deal of hysteresis about a set temperature. Often the solution to this type of problem is to use sophisticated temperature controls which use pulse-width-modulation or variable voltage to hold a temperature steady. On the other hand, the present invention can achieve tight temperature control of the heater element using a much simpler On-Off methodology, since the heat source can be held at a near constant temperature due to little to no delay in temperature sensing. The present invention can also more accurately deal with variable thermal loads, since the heat is controlled from the source.
In accordance with the present invention, a temperature monitoring system for a heater having a flexible, thin-film graphite heater element includes a temperature sensing component that uses the heater element to sense temperature. The temperature sensing component includes a current sensor and a voltmeter circuit for determining a resistance and temperature of the heater element. A temperature control component associated with the heater element receives at least one set point value associated with the heater and controls the temperature of the heater element based on a comparison of at least one of the resistance and temperature of the heater element to the at least one set point value. The temperature of the heater element is calculated, in Ohms, using the following equation:
y=Ax
3
+Bx
2
−Cx+D,
where x=the average temperature of the heater element, in degrees Fahrenheit, and y=the resistance of the heater element as a percentage of the resistance of the heater element at room temperature, where A is from about −20000 to about 25000, B is from about 40000 to about 80000, C is from about 40000 to about 80000, and D is from about 10000 to about 30000.
A method of monitoring temperature in a negative temperature coefficient heater having a heater element includes measuring the voltage of the heater element and measuring the current of the heater element. The resistance (y) of the heater element is calculated using Ohm's law. The average temperature (x) of the heater element is calculated based upon the calculated resistance using the following equation:
y=−19902x3+59965x2−61650x+21663.
The present invention relates to a temperature monitoring and control system for an NTC heater element and, in particular, relates to a control system that utilizes conventional circuitry without the need for an external temperature sensing device on the heater element.
The NTC heater element 30 may be constructed of a carbon-based material, such as graphite or carbon fiber. More specifically, the heater element 30 may be constructed of a flexible, thin-film graphite or carbon graphite material. Flexible graphite heater elements are particularly well suited for the system of the present invention because the temperature-resistance curve for such an NTC heater element (see
Using Ohm's Law (1), an equation (2) from the trend line in
V=IR or R=V/I (1)
Where R=Resistance in Ohms, V=Voltage in Volts, and I=Current in Amps
y=0.0000191752976x2−0.0357404336119x+56.4078713945078 (2)
0.0000191752976T2−0.0357404336119T+56.4078713945078=V/I (3)
This function can be used within the system to control or monitor the heater element temperature. Although the graph trend line is illustrated as being a 2nd order approximation, it will be understood that other order polynomial approximations, e.g., 3rd, 4th, 5th, etc., could be used to follow the same 2nd order Temperature Resistance Curve along the usable range, e.g., to about 600° F., in accordance with the present invention.
The components of the system 20 include a temperature monitoring component 40, a temperature control component 60, and a system calibration component 80. The temperature monitoring component 40 of the heating system 20 includes two sensing circuits, namely, a current sensor 42 and a voltmeter circuit 44. The current sensor 42 allows the heater element's 30 supply current to pass through a low impedance resistor. This resistor may be placed on the high voltage side or the low voltage side of the heater element 30. The voltage drop across this resistor is monitored to give an exact measure of the current supplied to the heater element 30 at a given moment. Alternatively, a Hall Effect current sensor or other known sensors may be used (not shown).
The voltmeter circuit 44 monitors the DC or AC supply voltage. The measured voltage value and current values can then be used to calculate the heater element's 30 resistance/impedance. The system 20 may include signal conditioning devices such as filters or amplifiers to process the voltage and current related readings. Using Ohm's law (1), the supply voltage value can then be divided by the current value to yield a value which is proportional to the resistance of the heater element 30. This resistance value is then used in the equation (2) to mathematically calculate the heater element's 30 average temperature using the heater element's temperature coefficient of resistance, as shown in
As shown in
As an alternative, the heater element 30 may be re-energized after a predetermined period of time, rather than using a reset value (not shown). This scenario would allow the system to exclude the low voltage monitoring portion of the system, although without it, the temperature could not be displayed or monitored during the cooling portion of the cycle.
The system 20 can be manually (
In an automatic calibrated system, as depicted in
A simplified version of the system 20 or 20a may be used as an overheating protection for the heater element 30 or the object(s) being heated by the heater element. In particular, at a preset high temperature or low resistance limit, the power to the heater would be removed, thereby protecting the heater element 30 or heated object(s). Breakers, switches, fuses, relays, and the like may be used to remove power from the heater and thereby turn the heater element 30 off. In this particular construction, the low voltage temperature monitoring or time-based switching portion of the system 20 or 20a would also be excluded.
The present invention eliminates the need for external temperature sensors since the heater element 30 itself is used to sense temperature. Since no external temperature sensors are used, the system 20 or 20a wiring may be greatly simplified, thereby allowing for easier installation. The elimination of external sensors will also save money, decrease the weight of the system 20 or 20a, and reduce the size of the system. Eliminating external sensors will also eliminate the chance of controller damage due to high voltage feedback through a sensor wire.
There are many benefits that the present invention provides over conventional control methodology. These benefits include, but are not limited to: the elimination of sensor placement issues, the elimination of sensor contact issues, improved protection from damaging temperatures, substantial reduction of system temperature hysteresis, possible cost savings, and simplified wiring. Another benefit of the present invention is the protection of sensitive materials or heater insulation from damage due to excessive heat. The present invention can also be used to control the heating of thermal insulators or materials having a low thermal conductivity or effective thermal conductivity.
The system 20 or 20a or the present invention can be beneficial in many common applications as illustrated in the following table:
In this example the NTC heater elements were formed from a flexible, thin-film graphite material. The raw material used to form the thin film was a flexible graphite foil having a thickness from about 0.001″ to about 0.100″. The density of the films ranged from about 40 lbs/in3 to about 130 lbs/in3. The temperature of each flexible graphite heater was calculated using the following equation:
Y=AX
2
−BX+C (4)
X=the average temperature of the flexible graphite element (for temperatures from about 32° F. to about 600° F.);
Y=the resistance of the heater element as a percentage of the element resistance at room temperature or about 70° F.; and
A, B, and C are constants.
In the present example, and for most flexible graphite materials, A=0.000000355, B=0.000661860, and C=1.0446. The flexible graphite material, however, can be manipulated during manufacturing to alter the values of A, B, and C according to particular design criterion. For example, in alternate configurations, A could range from about 0.00000025 to about 0.00000045, B could range from about 0.00056 to about 0.00076, and C could range from about 1.02 to about 1.07. A graph based on the equation (4) that illustrates the relationship between the temperature of the graphite heater element based on the heater element resistance can be generated as shown in
Accordingly, during operation of the heater, the temperature monitoring system can calculate the resistance of the graphite heater element based on information received from the current sensor and the voltmeter circuit without the need for additional or external temperature sensors for sensing the temperature of the heater element. This calculated resistance, in conjunction with the known resistance of the heater element at ambient conditions, is then used to mathematically calculate the heater element's average temperature using the equation (4).
An equivalent equation can likewise be generated using the equation (4) and the following equation:
Resistance=Volume Resistivity*(element trace length/element trace cross-sectional area)
Where “Resistivity” is measured at 70° F. Additional variables representing the element trace length, width and thickness would vary from heater element to heater element.
In this example the NTC heater elements were formed from a flexible, thin-film graphite material. The raw material used to form the thin film was a flexible graphite foil having a thickness from about 0.001″ to about 0.100″. The density of the films ranged from about 40 lbs/in3 to about 130 lbs/in3. The temperature of each flexible graphite heater was calculated using the following equation:
Y=AX
2
−BX+C (5)
X the average temperature of the flexible graphite element (for temperatures from about −40° F. to about 600° F.);
Y=the resistance of the heater element as a percentage of the element resistance at room temperature or about 70° F.; and
A, B, and C are constants.
In the present example, and for most flexible graphite materials, A=0.000000464, B=0.000715, and C=1.05. The flexible graphite material, however, can be manipulated during manufacturing to alter the values of A, B, and C according to particular design criterion. For example, in alternate configurations, A could range from about 0.00000030 to about 0.00000055, B could range from about 0.00066 to about 0.00078, and C could range from about 1 to about 1.1. A graph based on the equation (5) that illustrates the relationship between the temperature of the graphite heater element based on the heater element resistance can be generated as shown in
y=0.0000003551x2−0.00066186x+1.0446
y=0.00000035338x2−0.00066471x+1.0448
y=0.00000046335x2−0.00071268x+1.0476
Furthermore, it will be appreciated that higher order equations may be used to approximate the curve shown in
y=−0.000000000059477x3+0.00000032688x2−0.00061837x+1.0389
Alternatively, the X and Y axes may be switched to create the graph shown in
Y=AX+B (6)
X=the average temperature of the flexible graphite element (for temperatures from about −40° F. to about 350° F.);
Y=the resistance of the heater element as a percentage of the element resistance at room temperature or about 70° F.; and
A and B are constants.
With this linear equation (6), A could range from about −2100 to about −1600 and B could range from about 1675 to about 2070. One example of a linear equation falling within the error bars shown in
y=−1602.4x+1678.8
In another instance, the following second order equation could be used to control the graphite heating element:
Y=AX
2
−BX+C (7)
X=the average temperature of the flexible graphite element (for temperatures from about −40° F. to about 600° F.);
Y=the resistance of the heater element as a percentage of the element resistance at room temperature or about 70° F.; and
A, B, and C are constants.
With this second order equation (7), A could range from about 4000 to about 5000, B could range from about 9000 to about 11000, and C could range from about 5000 to about 7000. One example of a second order equation falling within the error bars shown in
y=4470.3x2−10384x+5972
In another instance, the following third order equation could be used to control the graphite heater element:
Y=AX
3
+BX
2
−CX+D (8)
X=the average temperature of the flexible graphite element (for temperatures from about −40° F. to about 600° F.);
Y=the resistance of the heater element as a percentage of the element resistance at room temperature or about 70° F.; and
A, B, C, and D are constants.
With this third order equation (8), A could range from about −20000 to about 25000, B could range from about 40000 to about 80000, C could range from about 40000 to about 80000, and D could range from about 10000 to about 30000. One example of a third order equation falling within the error bars shown in
y=−19902x3+59965x2−61650x+21663
Furthermore, it will be appreciated that higher order equations may be used to approximate the curve shown in
y=100270x4−391873x3+575222x2−377526x+93977
Accordingly, during operation of the heater, the temperature monitoring system can calculate the resistance of the graphite heater element based on information received from the current sensor and the voltmeter circuit without the need for additional or external temperature sensors for sensing the temperature of the heater element. This calculated resistance, in conjunction with the known resistance of the heater element at ambient conditions, is then used to mathematically calculate the heater element's average temperature using the equations (5)-(8).
An equivalent equation can likewise be generated using the equations (5)-(8) and the following equation:
Resistance=Volume Resistivity*(element trace length/element trace cross-sectional area)
Where “Resistivity” is measured at 70° F. Additional variables representing the element trace length, width and thickness would vary from heater element to heater element.
While various features are presented above, it should be understood that the features may be used singly or in any combination thereof. Further, it should be understood that variations and modifications may occur to those skilled in the art to which the claimed examples pertain. The examples described herein are exemplary only. The disclosure may enable those skilled in the art to make and use alternative designs having alternative elements that likewise correspond to the elements recited in the claims. The intended scope may thus include other examples that do not differ or that insubstantially differ from the literal language of the claims. The scope of the disclosure is accordingly defined as set forth in the appended claims.
This application is a continuation-in-part of U.S. application Ser. No. 13/123,808, filed Apr. 13, 2011, which claims priority to International Application No. PCT/US2009/060490, filed Oct. 13, 2009 and U.S. Provisional Appln. No. 61/104,798, filed Oct. 13, 2008. The present application claims priority to the aforementioned patent applications, which are incorporated in their entirety herein by reference for all purposes.
Number | Date | Country | |
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61104798 | Oct 2008 | US |
Number | Date | Country | |
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Parent | 13123808 | Apr 2011 | US |
Child | 14229171 | US |