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Effect of linear and non-linear components in the temperature dependences of thermoelectric properties on the energy conversion efficiency

机译：线性和非线性成分对热电特性的温度依赖性对能量转换效率的影响

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摘要

The new thermal rate equations were built up by taking the linear and non-linear components in the temperature dependences of the Seebeck coefficient a, the electrical resistivity p and thermal conductivity k of a thermoelectric (TE) material into the thermal rate equations on the assumption that their temperature dependences are expressed by a quadratic function of temperature T. The energy conversion efficiency η for a single TE element was formulated using the new thermal rate ones proposed here. By applying it to the high-performance half-Heusler compound, the non-linear component in the temperature dependence of α among those of the TE properties has the greatest effect on η, so that η/η_0 was increased by 11 % under the condition of T = 510 K and △T = 440 K, where η_0 is a well-known conventional energy conversion efficiency. It was thus found that the temperature dependences of TE properties have a significant influence on η. When one evaluates the accurate achievement rate of η_(exp) obtained experimentally for a TE generator, therefore, η_(exp) should be compared with η_(the) estimated from the theoretical expression proposed here, not with η_0, particularly when there is a strong non-linearity in the temperature dependence of TE properties.
机译：通过将热塞（TE）材料的塞贝克系数a，电阻率p和热导率k的温度相关性中的线性和非线性成分纳入假设条件下的热速率方程来建立新的热速率方程它们的温度相关性由温度T的二次函数表示。单个TE元件的能量转换效率η是使用此处提出的新热速率方程式制定的。通过将其应用到高性能的半霍斯勒化合物中，在TE特性中，α的温度依赖性中的非线性成分对η的影响最大，因此在此条件下η/η_0增加了11％。 T ＝ 510K，△T ＝ 440K，其中η_0是众所周知的常规能量转换效率。因此发现，TE性质的温度依赖性对η具有显着影响。因此，当评估由TE发电机实验获得的η_（exp）的准确实现率时，应将η_（exp）与根据此处提出的理论表达式估算的η_（the）进行比较，而不是与η_0进行比较，尤其是当存在TE特性对温度的依赖性很强。

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