Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator

The geometrical configuration is one of the main factors that affect the thermoelectric performance of a device. Research on the trapezoidal thermoelectric generator (TTEG) with varied cross section is mainly based on finite element simulation and experiment. In this paper, an explicit analytical so...

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Main Authors: Wei Niu, Xiaoshan Cao
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/16/8/3463
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author Wei Niu
Xiaoshan Cao
author_facet Wei Niu
Xiaoshan Cao
author_sort Wei Niu
collection DOAJ
description The geometrical configuration is one of the main factors that affect the thermoelectric performance of a device. Research on the trapezoidal thermoelectric generator (TTEG) with varied cross section is mainly based on finite element simulation and experiment. In this paper, an explicit analytical solution of the maximum output power of annular thermoelectric generators (ATEG) is proposed, which has been proved to have high accuracy. Then, the maximum output power between ATEG and TTEG is compared. Results show that, for the appropriate geometric parameter <i>δ</i>, the relative error of maximum output power between explicit analytical ATEG and the simulated solution of TTEG can reach the order of 10<sup>−3</sup>. When the hot end is at the <i>a</i> side, the high temperature and <i>θ</i> is 510 K and 10°, respectively. For Bi<sub>2</sub>Te<sub>3</sub> material and PbTe material, the relative error of maximum output power between the explicit analytical and simulated solution is 0.0261% and 0.074%, respectively. Under suitable working conditions, the explicit analytical results of ATEG can provide some reference for the performance optimization of TTEG.
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spelling doaj.art-ba852002ba294643ad4e5ca5f309f20e2023-11-17T19:05:34ZengMDPI AGEnergies1996-10732023-04-01168346310.3390/en16083463Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric GeneratorWei Niu0Xiaoshan Cao1School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, ChinaThe geometrical configuration is one of the main factors that affect the thermoelectric performance of a device. Research on the trapezoidal thermoelectric generator (TTEG) with varied cross section is mainly based on finite element simulation and experiment. In this paper, an explicit analytical solution of the maximum output power of annular thermoelectric generators (ATEG) is proposed, which has been proved to have high accuracy. Then, the maximum output power between ATEG and TTEG is compared. Results show that, for the appropriate geometric parameter <i>δ</i>, the relative error of maximum output power between explicit analytical ATEG and the simulated solution of TTEG can reach the order of 10<sup>−3</sup>. When the hot end is at the <i>a</i> side, the high temperature and <i>θ</i> is 510 K and 10°, respectively. For Bi<sub>2</sub>Te<sub>3</sub> material and PbTe material, the relative error of maximum output power between the explicit analytical and simulated solution is 0.0261% and 0.074%, respectively. Under suitable working conditions, the explicit analytical results of ATEG can provide some reference for the performance optimization of TTEG.https://www.mdpi.com/1996-1073/16/8/3463trapezoidal thermoelectric generatorannular thermoelectric generatorvaried cross sectionexplicit analytical solutionoutput power
spellingShingle Wei Niu
Xiaoshan Cao
Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator
Energies
trapezoidal thermoelectric generator
annular thermoelectric generator
varied cross section
explicit analytical solution
output power
title Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator
title_full Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator
title_fullStr Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator
title_full_unstemmed Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator
title_short Thermoelectric Field Analysis of Trapezoidal Thermoelectric Generator Based on the Explicit Analytical Solution of Annular Thermoelectric Generator
title_sort thermoelectric field analysis of trapezoidal thermoelectric generator based on the explicit analytical solution of annular thermoelectric generator
topic trapezoidal thermoelectric generator
annular thermoelectric generator
varied cross section
explicit analytical solution
output power
url https://www.mdpi.com/1996-1073/16/8/3463
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AT xiaoshancao thermoelectricfieldanalysisoftrapezoidalthermoelectricgeneratorbasedontheexplicitanalyticalsolutionofannularthermoelectricgenerator