Wiedemann-Franz Law and Thermoelectric Inequalities: Effective ZT and Single-leg Efficiency Overestimation
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arXiv
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| Auteurs principaux: | , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913840239738880 |
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| author | Ryu, Byungki Oh, Seunghyun Demeke, Wabi Chung, Jaywan Park, Jongho Kumari, Nirma Wani, Aadil Fayaz Ryu, Seunghwa Park, SuDong |
| author_facet | Ryu, Byungki Oh, Seunghyun Demeke, Wabi Chung, Jaywan Park, Jongho Kumari, Nirma Wani, Aadil Fayaz Ryu, Seunghwa Park, SuDong |
| contents | We derive a thermoelectric inequality in thermoelectric conversion between the material figure of merit (ZT) and the module effective ZT using the Constant Seebeck-coefficient Approximation combining with the Wiedemann-Franz law. In a P-N leg-pair module, the effective ZT lies between the individual ZT values of the P- and N-legs. In a single-leg module, however, the effective ZT is less than approximately one-third of the leg's ZT. This reduction results from the need for an external wire to complete the circuit, introducing additional thermal and electrical losses. Multi-dimensional numerical analysis shows that, although structural optimization can mitigate these losses, the system efficiency remains limited to below half of the ideal single-leg material efficiency. Our findings explain the single-leg efficiency overestimation and highlight the importance of optimizing the P-N leg-pair module structure. They also underscore the need for thermoelectric leg-compatibility, particularly with respect to Seebeck coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wiedemann-Franz Law and Thermoelectric Inequalities: Effective ZT and Single-leg Efficiency Overestimation Ryu, Byungki Oh, Seunghyun Demeke, Wabi Chung, Jaywan Park, Jongho Kumari, Nirma Wani, Aadil Fayaz Ryu, Seunghwa Park, SuDong Applied Physics Materials Science Mathematical Physics We derive a thermoelectric inequality in thermoelectric conversion between the material figure of merit (ZT) and the module effective ZT using the Constant Seebeck-coefficient Approximation combining with the Wiedemann-Franz law. In a P-N leg-pair module, the effective ZT lies between the individual ZT values of the P- and N-legs. In a single-leg module, however, the effective ZT is less than approximately one-third of the leg's ZT. This reduction results from the need for an external wire to complete the circuit, introducing additional thermal and electrical losses. Multi-dimensional numerical analysis shows that, although structural optimization can mitigate these losses, the system efficiency remains limited to below half of the ideal single-leg material efficiency. Our findings explain the single-leg efficiency overestimation and highlight the importance of optimizing the P-N leg-pair module structure. They also underscore the need for thermoelectric leg-compatibility, particularly with respect to Seebeck coefficients. |
| title | Wiedemann-Franz Law and Thermoelectric Inequalities: Effective ZT and Single-leg Efficiency Overestimation |
| topic | Applied Physics Materials Science Mathematical Physics |
| url | https://arxiv.org/abs/2411.01635 |