Journal
ENERGY
Volume 59, Issue -, Pages 689-697Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.energy.2013.06.069
Keywords
Thermoelectric cooling; Numerical modeling; Coupling of temperature and electric potential; Simplified conjugate-gradient method; Optimization
Categories
Funding
- National Natural Science Foundation of China [51276060]
- 111 Project [B12034]
- Program for New Century Excellent Talents in University [NCET-11-0635]
- Fundamental Research Funds for the Central Universities [11ZG01]
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This paper develops an inverse problem approach to optimize the geometric structure of TECs (thermoelectric coolers). The approach integrates a complete multi-physics TEC model and a simplified conjugate-gradient method. The present TEC model couples the heat and electrical conductions and accounts for all physical mechanisms occurred within TECs. Three geometric parameters, the semiconductor pair number, N, leg length of semiconductor column, H-pn, and base area ratio of semiconductor columns to TEC, gamma, are optimized simultaneously at fixed current and fixed temperature difference. The cooling rate on the cold end is the objective function to be maximized to obtain the optimal TEC geometry. The effects of applied current and temperature difference on the optimal geometry are discussed. The results show that at temperature difference of 20 K, the geometry optimization increases the TEC cooling rate by 1.99-10.21 times compared with the initial TEC geometry, and the optimal N decreases from 100 to 47 with invariable gamma = 0.95 and H-pn, = 0.2 mm, as the applied current varies from 1.0 A to 3.0 A. With the increase in temperature difference, the optimal N increases at smaller currents of I <= 1.0 A, however, it is almost invariable at larger currents of I >= 1.5 A. (C) 2013 Elsevier Ltd. All rights reserved.
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