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A method for calculating the transient time of a multi-stage thermoelectric cooler

  • Physics of Semiconductor Devices
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Abstract

The transient time τ of a cascade thermoelectric cooler is calculated. The method applied does not involve the solution of the heat equations with partial derivatives for semiconductor elements. The transient time τ of a two-stage thermopile was obtained in analytical form as a solution of the quadratic equation whose coefficients depend on semiconductor thermoelectric parameters, the specific heat of the thermopile materials, and the sizes of different parts of the cooler. For a thermopile with an arbitrary number of stages N, the calculation was reduced to the standard problem of finding the eigenvalues of two symmetrical matrices of order N. The calculated values of τ for specific two-stage thermopiles are in satisfactory agreement with the experimental data.

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Authors and Affiliations

  1. St. Petersburg State Technical University, ul. Politekhnicheskaya 29, St. Petersburg, 195251, Russia

    Yu. I. Ravich & A. N. Gordienko

Authors
  1. Yu. I. Ravich
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  2. A. N. Gordienko
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Additional information

Original Russian Text © Yu.I. Ravich, A.N. Gordienko, 2007, published in Fizika i Tekhnika Poluprovodnikov, 2007, Vol. 41, No. 1, pp. 112–116.

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Ravich, Y.I., Gordienko, A.N. A method for calculating the transient time of a multi-stage thermoelectric cooler. Semiconductors 41, 110–114 (2007). https://doi.org/10.1134/S1063782607010204

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  • DOI: https://doi.org/10.1134/S1063782607010204

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