JP4474550B2 - Thermoelectric element characteristic evaluation method - Google Patents
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本発明は熱電素子の特性を評価する方法に関する。 The present invention relates to a method for evaluating characteristics of thermoelectric elements.
熱電素子はCPU等の冷却装置や熱を利用する発電素子として広範に使用されている。素子性能向上のための研究開発や製品の品質検査のために信頼性が高く簡便な評価方法が求められている。また熱流センサーとして熱分析装置に使用されている。 Thermoelectric elements are widely used as cooling devices such as CPUs and power generation elements that use heat. A reliable and simple evaluation method is required for research and development for improving device performance and product quality inspection. It is also used in thermal analyzers as a heat flow sensor.
熱電素子の特性パラメータ(Peltier係数、Seebeck係数、熱抵抗)を決定する従来の技術として、(1)素子に一定の温度差をつけて熱起電力を測定し(Seebeck係数を決定し)、(2)素子に一定の熱流を流した条件で温度差を測定する(熱抵抗の決定)方法がある。 As conventional techniques for determining the thermoelectric element characteristic parameters (Peltier coefficient, Seebeck coefficient, thermal resistance), (1) measuring the thermoelectromotive force with a certain temperature difference between the elements (determining the Seebeck coefficient), ( 2) There is a method of measuring a temperature difference (determination of thermal resistance) under a condition where a constant heat flow is passed through the element.
しかし、この測定方法は安定した条件で行うことが困難であったため、測定者や使用装置によって結果が異なるという大きな問題があった。また、材質自身の特性と実用に供される熱電素子に組み上げた状態での特性が大きく異なるという問題もあった。 However, since this measurement method was difficult to perform under stable conditions, there was a big problem that the results differed depending on the measurer and the device used. In addition, there is a problem that the characteristics of the material itself and the characteristics in a state assembled in a thermoelectric element for practical use are greatly different.
そしてこれに対し上記のような個々の定数ではなく熱電素子の効率係数(通称Z値)を1回の測定で直接求める方法が例えば下記非特許文献1に記載されており、またこの原理を利用する装置も市販されるに至っている。
しかしながら、上記非特許文献1に記載の技術では、Pertier係数、Seebeck係数、熱抵抗といった個々の定数が分からないといった課題が依然残っており、熱流センサーの較正に用いることができない。 However, the technique described in Non-Patent Document 1 still has a problem that individual constants such as a Partier coefficient, a Seebeck coefficient, and a thermal resistance still remain, and cannot be used for calibration of a heat flow sensor.
更に上記の方法においては、圧力媒体に周囲を囲まれた高圧下で特性パラメータを決定しようとする場合、より困難となり、結果が大きな誤差を含んでしまうといった課題も生じる。そのため高圧下で使用できる機器は市販されておらず、また、研究レベルの実施例も殆ど無い。 Furthermore, in the above method, when it is attempted to determine the characteristic parameter under a high pressure surrounded by a pressure medium, it becomes more difficult, and there is a problem that the result includes a large error. For this reason, devices that can be used under high pressure are not commercially available, and there are almost no examples at the research level.
そこで、本発明は上記課題を解決し、Pertier係数、Seebeck係数、熱抵抗といった個々の定数を1回の測定で求めることが可能な熱電素子の特性評価方法を提供することを目的とする。 SUMMARY OF THE INVENTION Accordingly, an object of the present invention is to solve the above-described problems and provide a thermoelectric element characteristic evaluation method capable of obtaining individual constants such as a Partier coefficient, a Seebeck coefficient, and a thermal resistance by a single measurement.
即ち上記課題を解決するための手段として、本発明に係る熱電素子の特性評価方法は、熱電素子の二つの接点の一方をほぼ一定温度に保ちながらこの二つの接点の間に交流電流を流すステップ、更に、この二つの接点の間に直流電流を重畳させるステップ、を有する。 That is, as a means for solving the above problems, the method for evaluating characteristics of a thermoelectric element according to the present invention is a step of passing an alternating current between the two contacts while keeping one of the two contacts of the thermoelectric element at a substantially constant temperature. And a step of superimposing a direct current between the two contacts.
また直流電流を重畳させるステップは、交流電流を流すステップの後、前記熱電素子における二つの接点の間の温度差がほぼ定常状態に達した後に行われること、また、直流電流を重畳させるステップは、熱電素子における二つの接点の温度差をほぼ0にすることも望ましい。 Further, the step of superimposing the direct current is performed after the step of flowing the alternating current and after the temperature difference between the two contacts in the thermoelectric element has reached a substantially steady state, and the step of superimposing the direct current is It is also desirable that the temperature difference between the two contacts in the thermoelectric element is substantially zero.
前記熱電素子における二つの接点間の温度差を検出するのに同熱電素子に生ずる熱起電力(ゼーベック効果)を用いる。 A thermoelectromotive force (Seebeck effect) generated in the thermoelectric element is used to detect a temperature difference between two contact points in the thermoelectric element.
また、本発明に係る熱電素子の特性評価方法は、交流電流の電流値をIA(A)、前記直流電流の電流値をID(A)、熱電素子の抵抗をR(Ω)、とした場合、下記式(1)によりPeltier係数Πを求めることができる。
また、本発明に係る熱電素子の特性評価方法は、交流電流の電流値をIA(A)、前記直流電流の電流値をID(A)、熱電素子の抵抗をR(Ω)、熱電素子における温度をT(K)とした場合、下記式(2)によりSeebeck係数ηを求めることができる。
また、本発明に係る熱電素子の特性評価方法は、交流電流の電流値を0とし、前記直流電流の電流値をID(A)、熱電素子の抵抗をR(Ω)、熱電素子における温度をT(K)、定常状態における熱起電力をΔVs(V)とし、Peltier係数をΠとした場合、下記式(3)により熱抵抗ZTを求めることができる。
また、本発明に係る熱電素子の特性評価方法は、Peltier係数をΠ、熱電素子における温度をT(K)、熱抵抗をZTとした場合、下記式(4)により熱流センサーの係数Kを求める請求項1乃至3のいずれかに記載の熱電素子の特性評価方法。
以上により、Pertier係数、Seebeck係数、熱抵抗といった個々の定数を求める熱電素子の特性評価方法を提供することができる。 As described above, it is possible to provide a thermoelectric element characteristic evaluation method for obtaining individual constants such as a Partier coefficient, a Seebeck coefficient, and a thermal resistance.
以下、本発明を実施するための形態について説明する。 Hereinafter, modes for carrying out the present invention will be described.
まず図1に、本発明の利用する原理を説明するための回路図を示す。 First, FIG. 1 shows a circuit diagram for explaining the principle used by the present invention.
図1における回路図において、A、Bは熱電素子の二つの接点を、I、IIは二つの接点A、Bを電気的に接続する腕を、それぞれ示す。なお腕IIは途中で切断されており、切断の端部C、Dにおいて電源1及び第一の電圧計2に接続されている。また、一方の端部Dと電源1との間には抵抗3が配置されており、その抵抗3の両端には更に第二の電圧計4が接続されており、この両端に流れる交流電圧、直流電圧を測定する。なお、電源1は直流電流、交流電流のいずれも流すことが可能であって、この限りにおいて様々なものが使用できる。 In the circuit diagram of FIG. 1, A and B indicate two contacts of the thermoelectric element, and I and II indicate arms that electrically connect the two contacts A and B, respectively. The arm II is cut halfway, and is connected to the power source 1 and the first voltmeter 2 at the cut ends C and D. Further, a resistor 3 is disposed between one end D and the power source 1, and a second voltmeter 4 is further connected to both ends of the resistor 3. Measure DC voltage. The power source 1 can flow either a direct current or an alternating current, and various types can be used as long as this is the case.
本実施形態に係る熱電素子の特性評価方法(以下「本特性評価方法」)は、まず、熱電素子の一方(例えばA)の接点を一定温度に保ちながら交流電流IAを流す。するとジュール発熱によって他方の接点Bの温度が上昇する。そして電流を流した後十分な時間が経過するとこの系が定常状態となり、接点Aと接点Bとの間にはほぼ一定の温度差が生じることとなる。 Characterization methods of the thermoelectric device according to the present embodiment (the "characterization methods") first, while keeping one of the thermoelectric elements contacts (eg A) at a constant temperature to supply an alternating current I A. Then, the temperature of the other contact B rises due to Joule heat generation. When a sufficient time elapses after the current is passed, the system is in a steady state, and a substantially constant temperature difference is generated between the contact A and the contact B.
そして次に、本特性評価方法では、この状態において更に、直流電流IDを重畳させ接点A、Bの間の温度差がほぼ0となるようにIDの値を調整する。この温度調整は、Peltier効果による熱輸送により達成される。本特性評価方法では、これらの各段階における物理量を測定することにより、熱電素子の特性評価を行う。 Then, in this characteristic evaluation method, the value of ID is adjusted so that the temperature difference between the contacts A and B is substantially zero by further superimposing the DC current ID in this state. This temperature adjustment is achieved by heat transport by the Peltier effect. In this property evaluation method, the properties of the thermoelectric element are evaluated by measuring physical quantities at each of these stages.
より具体的に説明すると、点A、Bの温度が定常的にほぼ等しい条件ではPeltier効果により輸送した熱量はジュール熱の半分に等しいため、この熱量について計算を行うことによりまず熱電素子のPeltier係数を求めることができる。Peltier効果により輸送した熱量がジュール熱の半分である理由は、接点A、Bの間で発生したジュール熱は接点A、Bの双方に等しく対称に流れているためである。即ち、Peltier係数Πは、以下の式により求めることができる。なおここでIA(A)は交流電流の電流値を、ID(A)は直流電流の電流値を、Rは熱電素子の抵抗値(Ω)を、それぞれ表す。
そして更に、この求めたPeltier係数に基づき、Seebeck係数ηを求めることができる。Seebeck係数ηは、トムソンの第2関係式により求めることができ、下記式により求めることができる。なおここでTは絶対温度(K)である。
更に、熱電素子の熱抵抗ZTは、ZTは下記式で定義される。ここで下記ΔT=ΔVS/ηで求めることができ、JN は伝導熱流である。特に本実施形態に係る熱電素子の特性評価方法においてはΔVSは熱起電力であって交流電流を0とし、直流電流IDのみを流して定常状態にすることにより測定することができる。この結果、接点A、Bの間の熱抵抗ZTは、下記式により求めることができる。
また更に、この熱電素子を熱流JNの熱流センサーとして使用する場合の係数Kは、下記式で定義されるため(式中ΔVは接点A、B間の温度差ΔTによって生じた熱起電力を示す)、結果Kは更に下記式で求めることができる。
このように、本実施形態によると、熱電素子のPertier係数、Seebeck係数、熱抵抗といった個々の定数を求める方法が提供可能となる。特に、この方法においては、加熱機構等の他の構成要素を必要とせず簡易な系とすることができ、測定系における温度差を例えば0.1K以下の小さい値とすることが可能となり、正確な測定が可能となる。もちろん、本法は圧力媒体に周囲を囲まれた圧力容器内においても真空や大気中と同様に適用が可能である。 As described above, according to the present embodiment, it is possible to provide a method for obtaining individual constants such as a Partier coefficient, a Seebeck coefficient, and a thermal resistance of a thermoelectric element. In particular, in this method, it is possible to make a simple system without requiring other components such as a heating mechanism, and the temperature difference in the measurement system can be set to a small value of, for example, 0.1K or less. Measurement is possible. Of course, the present method can also be applied in a pressure vessel surrounded by a pressure medium in the same manner as in vacuum or air.
(実施例)
上記の実施形態の具体的な例について説明する。本実施例では、対数N=31で示される熱電素子TM(Feero Tec Co.9502/031/012、内部抵抗値R:2.723Ω)を用い、この熱電素子の一方は一定温度(T=308.2K)の温度基盤(熱浴)に取り付けた。なおこの温度基盤の温度安定度は1mK以下とした。また、熱電素子の両端の接点に接続する第一の電圧計としてはDVM2(K2000)を、第二の電圧計としてはDVM1(AG3458A)を用い、電源にはAG33120を用いた。なおここで抵抗3は99.85Ωであった。ここで、本実施例で用いた測定系のブロック図を図2に示す。
(Example)
A specific example of the above embodiment will be described. In this example, a thermoelectric element TM (Feero Tec Co. 9502/031/012, internal resistance value R: 2.723 Ω) represented by a logarithm N = 31 is used, and one of the thermoelectric elements has a constant temperature (T = 308). .2K) temperature base (heat bath). The temperature stability of this temperature base was 1 mK or less. In addition, DVM2 (K2000) was used as the first voltmeter connected to the contacts at both ends of the thermoelectric element, DVM1 (AG3458A) was used as the second voltmeter, and AG33120 was used as the power source. Here, the resistance 3 was 99.85Ω. Here, a block diagram of the measurement system used in this example is shown in FIG.
そして図3に、本実施例において直流電流IDを変えて定常熱起電力ΔVSを測定した結果を示す。なおここで交流電流は周波数1kHzで、電流IAの値が41.65mAであった。図3より直流電流IDの値が0.614mAの場合、点A、Bの温度差がほぼ0になっている。 FIG. 3 shows a result of measuring the steady thermoelectromotive force ΔVS by changing the direct current ID in this example. Here, the alternating current had a frequency of 1 kHz and a current IA value of 41.65 mA. From FIG. 3, when the value of the direct current ID is 0.614 mA, the temperature difference between the points A and B is almost zero.
これに基づきPeltier係数Π、Seebeck係数ηを求めたところ、Π=R(IA 2+ID 2)/(2NID)=0.124(W/A)、η=Π/T=0.403mV/Kであった。これらの値は従来の方法で求めたものと一致する。(参考文献:S. Wang, K.Tozaki, H. Hayashi, S. Hosaka and H. Inaba: Thermochimica
Acta, 408 (2003) 31.
)
Based on this, the Peltier coefficient Π and the Seebeck coefficient η were obtained, and Π = R (I A 2 + I D 2 ) / ( 2 NI D ) = 0.124 (W / A), η = Π / T = 0.403 mV / K. These values agree with those obtained by the conventional method. (Reference: S. Wang, K. Tozaki, H. Hayashi, S. Hosaka and H. Inaba: Thermochimica
Acta, 408 (2003) 31.
)
そして更に、交流電流を0として直流電流IDを0.614mAとし、定常状態に達した場合において熱起電力ΔVsは1.190mVであった。これに基づき熱抵抗ZT、熱流センサーとしての係数Kをそれぞれ求めたところ、ZT=T・ΔVS/(N2Π2ID)=40.3K/W、K=1/(NηZT)=1.984W/Vであった。
Further, when the AC current was 0, the DC current ID was 0.614 mA, and the steady state was reached, the thermoelectromotive force ΔVs was 1.190 mV. Based on this, the thermal resistance ZT and the coefficient K as the heat flow sensor were obtained, respectively. ZT = T · ΔVS / (N2Π2ID) = 40.3 K / W, K = 1 / (NηZT) = 1.984 W / V It was.
以上、本実施例により、Pertier係数、Seebeck係数、熱抵抗といった個々の定数を求める熱電素子の特性評価方法を提供可能であることを確認できた。 As described above, according to this example, it was confirmed that it was possible to provide a method for evaluating the characteristics of thermoelectric elements for obtaining individual constants such as a Partier coefficient, a Seebeck coefficient, and a thermal resistance.
1・・・電源、2・・・第一の電圧計、3・・・抵抗、4・・・第2の電圧計
DESCRIPTION OF SYMBOLS 1 ... Power supply, 2 ... 1st voltmeter, 3 ... Resistance, 4 ... 2nd voltmeter
Claims (6)
I A (A) a current value of the alternating current, the current value I D of the DC current (A), the resistance of the thermoelectric element R (Omega), and then obtains the Peltier coefficient Π by the following formula (1) The thermoelectric element characteristic evaluation method according to claim 1 .
The current value I A of the alternating current (A), the current value I D of the DC current (A), the resistance of the thermoelectric element and R (Ω), the absolute temperature in the thermoelectric element T (K), the following The method for evaluating characteristics of a thermoelectric element according to claim 1 , wherein the Seebeck coefficient η is obtained from the equation (2).
After the step of superimposing a direct current between the two contacts to make the temperature difference between the two contacts zero, the current value of the alternating current is made zero, the absolute temperature in the thermoelectric element is T (K), and the steady state the thermoelectromotive force in the state as .DELTA.Vs (V), characteristic evaluation method of the thermoelectric device according to claim 4, wherein determining the thermal resistance Z T by the following equation (3).
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