From local force-flux relationships to internal dissipations and their impact on heat engine performance: The illustrative case of a thermoelectric generator

Apertet, Y.; Ouerdane, Henni; Goupil, Christophe; Lecoeur, Ph.

doi:10.1103/physreve.88.022137

Cited by 45 publications

(44 citation statements)

References 42 publications

(91 reference statements)

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“…Our results may helpful to design and operate a real thermoelectric device with broken timereversal symmetry for a productive outcome. Apertet et al studied an autonomous thermoelectric generator by extending the local Onsager relations to a global scale and showed that it naturally includes the Joule heat dissipation in input and output heat fluxes [70], which we will consider in our future study. The present study can also be extended to a thermoelectric heat devices beyond the linear response regime.…”

Section: Resultsmentioning

confidence: 99%

Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry

Iyyappan¹,

Ponmurugan²

2017

J. Stat. Mech.

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Abstract. We study the performance of a three-terminal thermoelectric device such as heat engine and refrigerator with broken time-reversal symmetry by applying the unified trade-off figure of merit (Ω criterion) which accounts for both useful energy and losses. For heat engine, we find that a thermoelectric device working under the maximumΩ criterion gives a significantly better performance than a device working at maximum power output. Within the framework of linear irreversible thermodynamics such a direct comparison is not possible for refrigerators, however, our study indicates that, for refrigerator, the maximum cooling load gives a better performance than the maximumΩ criterion for a larger asymmetry. Our results can be useful to choose a suitable optimization criterion for operating a real thermoelectric device with broken time-reversal symmetry.

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Section: Resultsmentioning

confidence: 99%

Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry

Iyyappan¹,

Ponmurugan²

2017

J. Stat. Mech.

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“…However, under the same conditions, the linear thermoelectric coefficient can exhibit B asymmetries if carriers experience inelastic scattering inside the conductor [26][27][28][29] 6 . As a consequence, the two-terminal thermopower need not be an even function of B and its degree of asymmetry determines the thermodynamic efficiency of a system with broken timereversal symmetry [30][31][32][33]. The asymmetries we discuss here survive in the purely elastic case and appear only in the nonlinear regime of transport.…”

Section: Introductionmentioning

confidence: 92%

Magnetic-field asymmetry of nonlinear thermoelectric and heat transport

Hwang¹,

Sánchez²,

Lee³

et al. 2013

New J. Phys.

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Nonlinear transport coefficients do not obey, in general, reciprocity relations. We here discuss the magnetic-field asymmetries that arise in thermoelectric and heat transport of mesoscopic systems. Based on a scattering theory of weakly nonlinear transport, we analyze the leading-order symmetry parameters in terms of the screening potential response to either voltage or temperature shifts. We apply our general results to a quantum Hall antidot system. Interestingly, we find that certain symmetry parameters show a dependence on the measurement configuration.

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“…1). Then, based on Onsager formalism and Domenicali's heat equation [42,43], thermal fluxes at the end points of TEM are written as follows.…”

Section: Teg Modelmentioning

confidence: 99%

Thermoelectric generator at optimal power with external and internal irreversibilities

Kaur

Johal

2019

Journal of Applied Physics

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There are few exact results on optimal power conditions for a thermoelectric generator in the presence of both external and internal irreversibilities-modelled as non-ideal thermal contacts and Joule heating, respectively. Simplified cases, where only one kind of irreversibility is assumed, yield some well-known expressions for efficiency at maximum power (EMP), such as Curzon-Ahlborn efficiency for endoreversible model. In this work, we analyze situations under the simultaneous presence of internal and external irreversibilities. To simplify, we neglect heat leaks, and each kind of irreversibility is assumed only on the side of one of the thermal contacts. We also present the symmetric case-where each kind of irreversibility contributes with equal strengths towards the side of each thermal contact. We show the bounds satisfied by EMP in each of these regimes and compare its properties for thermal impedence matching and close to equilibrium, where we find step-wise changes in EMP.

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From local force-flux relationships to internal dissipations and their impact on heat engine performance: The illustrative case of a thermoelectric generator

Cited by 45 publications

References 42 publications

Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry

Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry

Magnetic-field asymmetry of nonlinear thermoelectric and heat transport

Thermoelectric generator at optimal power with external and internal irreversibilities

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