Abstract
The paper deals with mathematical modeling of heat transfer phenomena occurring in a system containing thermoelectric elements. The main focus was on creating a useful computational tool for designing, validating, testing, controlling, and regulating the energy harvesting system with a thermoelectric cell. The model widely described in the literature, assuming a constant temperature level on both sides of the cell, has been modified to take into account the thermal resistance of heat exchangers that are inseparable parts of nearly every device of this kind. The results and conclusions from the solutions of equations forming a formalized record of the proposed method, the assumed approach to modeling, used physical phenomena and sensitivity analysis of the impact of the tested parameters on the system operation was presented. The calculations were made for the data of a selected thermoelectric generating cell available on the market.
References
1.
Schock
, H.
, Brereton
, G.
, Case
, E.
, D’Angelo
, J.
, Hogan
, T.
, Lyle
, M.
, Maloney
, R.
, Moran
, K.
, Novak
, J.
, Nelson
, C.
, Panayi
, A.
, Ruckle
, T.
, Sakamoto
, J.
, Shih
, T.
, Timm
, E.
, Zhang
, L.
, and Zhu
, G.
, 2013
, “Prospects for Implementation of Thermoelectric Generators as Waste Heat Recovery Systems in Class 8 Truck Applications
,” ASME J. Energy Res. Technol.
, 135
(2
), p. 022001
. 10.1115/1.40230972.
Rychter
, T.
, and Teodorczyk
, A.
, 2006
, Theory of Piston Engines
, WKL
, Warsaw
(in Polish).3.
Buchalik
, R.
, Buczkowski
, D.
, Przybyla
, G.
, and Nowak
, G.
, 2016
, “Investigation of Waste Heat Recovery for Automobile Application Based on a Thermoelectric Module
,” J. KONES Powertrain Transp.
, 23
(4
), pp. 25
–32
. 10.5604/12314005.12171854.
Nolas
, G. S.
, Sharp
, J.
, and Goldsmid
, H. J.
, 2001
, Thermoelectrics, Basic Principles and New Materials Developments
, Springer-Verlag
, New York
.5.
Zhu
, G.
, Liu
, J.
, Fu
, J.
, and Wang
, S.
, 2017
, “A Combined Organic Rankine Cycle With Double Modes Used for Internal Combustion Engine Waste Heat Recovery
,” ASME J. Eng. Gas Turbines Power
, 139
(11
), p. 112804
. 10.1115/1.40369556.
Champier
, D.
, 2017
, “Thermoelectric Generators: A Review of Applications
,” Energy Convers. Manage.
, 140
(Part 2
), pp. 167
–181
. 10.1016/j.enconman.2017.02.0707.
Amini
, A.
, Ekici
, O.
, and Yakut
, K.
, 2019
, “Investigating the Effect of Medium Liquid Layer Circulation on Temperature Distribution in a Thermoelectric Generator Heat Exchanger Assembly
,” ASME J. Energy Res. Technol.
, 141
(4
), p. 041902
. 10.1115/1.40422808.
Mansouri
, N.
, Timm
, E. J.
, Schock
, H. J.
, Sahoo
, D.
, and Kotrba
, A.
, 2016
, “Development of a Circular Thermoelectric Skutterudite Couple Using Compression Technology
,” ASME J. Energy Res. Technol.
, 138
(5
), p. 052003
. 10.1115/1.40326199.
Pierce
, R. D.
, and Stevens
, R. J.
, 2017
, “Measuring Thermal Substrate Resistance and Impact on the Characterization of Thermoelectric Modules
,” Measurement
, 111
(Dec.
), pp. 173
–182
. 10.1016/j.measurement.2017.07.01510.
He
, W.
, Wang
, S.
, Li
, Y.
, and Zhao
, Y.
, 2016
, “Structural Size Optimization on an Exhaust Exchanger Based on the Fluid Heat Transfer and Flow Resistance Characteristics Applied to an Automotive Thermoelectric Generator
,” Energy Convers. Manage.
, 129
(Dec.
), pp. 240
–249
. 10.1016/j.enconman.2016.10.03211.
Siddique
, A. R. M.
, Kratz
, F.
, Mahmud
, S. J.
, and Heyst
, B. V.
, 2019
, “Energy Conversion by Nanomaterial-Based Trapezoidal-Shaped Leg of Thermoelectric Generator Considering Convection Heat Transfer Effect
,” ASME J. Energy Res. Technol.
, 141
(8
), p. 082001
. 10.1115/1.404264412.
Gao
, J.
, Du
, Q.
, Chen
, M.
, Li
, B.
, and Zhang
, D.
, 2015
, “Assessing the Accuracy of Mathematical Models Used in Thermoelectric Simulation: Thermal Influence of Insulated Air Zone and Radiation Heat
,” Appl. Therm. Eng.
, 82
(May
), pp. 162
–169
. 10.1016/j.applthermaleng.2015.02.07213.
Wang
, Y.
, Shuai
, L.
, Zhang
, Y.
, Deng
, Y.
, and Su
, C.
, 2016
, “The Influence of Inner Topology of Exhaust Heat Exchanger and Thermoelectric Module Distribution on the Performance of Automotive Thermoelectric Generator
,” Energy Convers. Manage.
, 126
(Oct.
), pp. 266
–277
. 10.1016/j.enconman.2016.08.00914.
Ying
, X.
, Ye
, F.
, Liu
, R.
, and Bao
, H.
, 2018
, “Design and Optimization of Thermoelectric Cooling System Under Natural Convection Condition
,” ASME J. Therm. Sci. Eng. Appl.
, 10
(5
), p. 051008
. 10.1115/1.403992615.
Liu
, T.
, and Yang
, Z.
, 2018
, “Performance Assessment and Optimization of a Thermophotovoltaic Converter—Thermoelectric Generator Combined System
,” ASME J. Energy Res. Technol.
, 140
(7
), p. 072010
. 10.1115/1.403962916.
Chen
, M.
, Lu
, S.
, and Liao
, B.
, 2005
, “On the Figure of Merit of Thermoelectric Generators
,” ASME J. Energy Res. Technol.
, 127
(1
), pp. 37
–41
. 10.1115/1.181112017.
Chen
, L.
, Gong
, J.
, Sun
, F.
, and Wu
, C.
, 2002
, “Effect of Heat Transfer on the Performance of Thermoelectric Generators
,” Int. J. Therm. Sci.
, 41
(1
), pp. 95
–99
. 10.1016/S1290-0729(01)01307-218.
Mohamed
, E. S.
, 2019
, “Development and Performance Analysis of a TEG System Using Exhaust Recovery for a Light Diesel Vehicle With Assessment of Fuel Economy and Emissions
,” Appl. Therm. Eng.
, 147
(Jan.
), pp. 661
–674
. 10.1016/j.applthermaleng.2018.10.10019.
Mahmoudinezhad
, S.
, Rezaniakolaei
, A.
, and Rosendahl
, L. A.
, 2017
, “Experimental Study on Effect of Operating Conditions on Thermoelectric Power Generation
,” 9th International Conference on Applied Energy, ICAE2017
, Cardiff
, Aug. 21–24
, pp. 558
–563
.20.
Hendricks
, T. J.
, 2007
, “Thermal System Interactions in Optimizing Advanced Thermoelectric Energy Recovery Systems
,” ASME J. Energy Res. Technol.
, 129
(3
), pp. 223
–231
. 10.1115/1.275150421.
Crane
, D. T.
, and Bell
, L. E.
, 2009
, “Design to Maximize Performance of a Thermoelectric Power Generator With a Dynamic Thermal Power Source
,” ASME J. Energy Res. Technol.
, 131
(1
), p. 012401
. 10.1115/1.306639222.
Ran
, Y.
, Deng
, Y.
, Hu
, T.
, Su
, C.
, and Liu
, X.
, 2018
, “Energy Efficient Thermoelectric Generator-Powered Localized Air-Conditioning System Applied in a Heavy-Duty Vehicle
,” ASME J. Energy Res. Technol.
, 140
(7
), p. 072007
. 10.1115/1.403960723.
Tang
, Z. B.
, Deng
, Y. D.
, Su
, C. Q.
, Shuai
, W. W.
, and Xie
, C. J.
, 2015
, “A Research on Thermoelectric Generator’s Electrical Performance Under Temperature Mismatch Conditions for Automotive Waste Heat Recovery System
,” Case Stud. Therm. Eng.
, 5
(Mar.
), pp. 143
–150
. 10.1016/j.csite.2015.03.00624.
Montecucco
, A.
, Siviter
, J.
, and Knox
, A. R.
, 2015
, “Constant Heat Characterisation and Geometrical Optimisation of Thermoelectric Generators
,” Appl. Energy
, 149
(July
), pp. 248
–258
. 10.1016/j.apenergy.2015.03.12025.
Lienhard IV
, J. H.
, and Lienhard V
, J. H.
, 2017
, A Heat Transfer Textbook
, Phlogiston Press
, Cambridge, MA
.26.
Ji
, D.
, Wei
, Z.
, Mazzoni
, S.
, Mengarelli
, M.
, Rajoo
, S.
, Zhao
, J.
, Pou
, J.
, and Romagnoli
, A.
, 2018
, “Thermoelectric Generation for Waste Heat Recovery: Application of a System Level Design Optimization Approach Via Taguchi Method
,” Energy Convers. Manage.
, 172
(Sept.
), pp. 507
–516
. 10.1016/j.enconman.2018.06.016Copyright © 2019 by ASME
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