菲涅耳聚光下半导体温差发电组件性能研究

许强强; 季旭; 李明; 刘佳星; 李海丽

doi:10.7498/aps.65.237201

摘要

采用菲涅耳透镜汇聚太阳辐射，提高半导体温差发电组件的热端温度，冷端利用散热片进行散热.从热流密度的角度建立了半导体温差发电片理论分析模型，实验基于稳态的条件下，忽略冷热端之间以及电臂间的空气对流和辐射，研究菲涅耳聚光下半导体温差发电组件的性能，推导出了半导体温差发电片的温度梯度dT/dx关系式，获得了输出电流、输出功率及热电转换效率的表达式.研究表明：随着电阻比率a（RL/R）的增大，半导体温差发电器件的输出电流I减小，输出功率P和转换效率he先增大后减小，且在a=1时，其输出功率和转换效率最高.随着温差比率b（T/TH2）的增大，无论a取何值，其输出功率P和转换效率he均增大.实验研究中，半导体温差发电片应偏离菲涅耳透镜焦平面一定距离以获得较好输出特性.通过温差发电片的不同串并联组件可获得相应输出电压.

关键词:

Abstract

Using Fresnel concentration to collect solar irradiation, the hot-end temperature of the semiconductor thermoelectric generator is enhanced, and the cold end is cooled through a radiator in air. For studying the performance of thermoelectric module under solar Fresnel concentration, a theoretical model of thermoelectric generator under steady condition is built from the perspective of energy flux. The model neglects the convection and radiation heat transfer between the cold and hot end and between the arms, and simplifies the heat conduction only along the arm. Utilizing this model, the temperature gradient on thermoelectric generator (dT/dx), the output current (I), the output voltage (V), and the output power (P) of thermoelectric generator are derived, and the influences of the resistance ratio a(=R/RH2) and the temperature difference ratio b(=T/TH2) on generator output performance under a certain structure parameters of thermoelectric generator are discussed. The results show that with the increase of resistance ratio (a), the output current (I) decreases, however the output power (P) and the conversion efficiency (he) first increase, then decreases. When the resistance ratio a=1, the output power (P) and the conversion efficiency (he) reach their maximum values. When the resistance ratio (a) is smaller, the output power (P) increases rapidly with the increase of the resistance ratio (a). When the resistance ratio (a) is larger, the output power (P) decreases slowly with the increase of the resistance ratio (a). With the increase of temperature difference ratio (b), the output power (P) and the conversion efficiency (he) increase, no matter what the value of the resistance ratio (a) is. It verifies the sensitivity of the output power (P) to the temperature difference. Therefore, with a certain figure of merit, the appropriate adjustment of temperature difference ratio (b) may improve the output power (P) and the conversion efficiency (he). Besides, the load residence should be larger than the internal residence for keeping the high output performance. A Fresnel concentration thermoelectric module, including 6 thermoelectric generators, is employed to experimentally explore its output performances. In experiment, the energy flux density on the surface of the thermoelectric generator is not uniform as desired. The uneven hot-end temperature will degrade the conversion efficiency, and even excessive local temperature may damage the semiconductor thermoelectric generator. A deviation of the thermoelectric generator from the focal plane of Fresnel lens will help to improve the energy flux uniformity and achieve an optimized output characteristics. The required output voltage and output power can be obtained through series/parallel connection of these thermoelectric generators. With the series connection of the thermoelectric generators, the output current is increased. With the parallel connection of the thermoelectric generators, the output voltage is increased.

Keywords:

作者及机构信息

1.
云南师范大学能源与环境科学学院, 教育部可再生能源材料制备与先进技术重点实验室, 昆明 650500

通信作者: 季旭, jixu@ynnu.edu.cn

基金项目: 国家自然科学基金（批准号：51106134）和2014年国家级大学生创新创业训练计划（批准号：201410681005）资助的课题.

Authors and contacts

1.
Key Laboratory of Advanced Technique and Preparation for Renewable Energy Materials, Ministry of Education, School of Energy and Environmental Science, Yunnan Normal University, Kunming 650500, China

Corresponding author: Ji Xu, jixu@ynnu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51106134) and 2014 National Students' Innovation and Entrepreneurship Training Program Funded Projects, China (Grant No. 201410681005).

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[14]	Wang C Y, Li Y Z, Z J 2016 J. Refrig. 37 106
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[17]	Wei J T, Xiong L C, Wang H 2012 Energ. Procedia 17 1570
[18]	Rezania A, Rosendahl L A, Yin H 2014 J. Power Sources 255 151
[19]	He W, Su Y H, Riffat S B, Hou J X, Ji J 2011 Appl. Energy 88 5083
[20]	Najafi H, Woodbury K A 2013 Sol. Energy 91 152
[21]	Rabari R, Mahmud S, Dutta A 2015 Int. J. Heat Mass Transfer 91 190
[22]	Montecucco A, Siviter J, Knox A R 2014 Appl. Energy 123 47
[23]	Kim S 2013 Appl. Energy 102 1458
[24]	Hakimi I, Nikulshin Y, Wolfus S, Yeshurun Y 2016 Cryogenics 75 1
[25]	Ali S A, Mazumder S 2013 Int. J. Heat Mass Transfer 62 373

施引文献

[1]	Jia H M, Li J Y, Yang M 2015 J. New Ind. 5 34
[2]	Cheng F Q, Hong Y J, Zhu C 2014 High Vol. Eng. 40 1599
[3]	Zhang X D, Du Q G, Jiang X Q 2011 Power Technol. 35 422
[4]	Jiang M B, Wu Z X, Zhou M, Huang R J, Li L F 2010 Acta Phys. Sin. 59 7314 (in Chinese)[蒋明波, 吴智雄, 周敏, 黄荣进, 李来风2010物理学报59 7314]
[5]	Amatya R, Ram R J 2012 J. Electron. Mater. 41 1011
[6]	Ren G S, Zhu Y D, Qiu X T 2010 Sci. Technol. Consul. Her. 6 22
[7]	Mao J N, Jiang S F, Fang Q, Lu J X, Liu D Y, Du J Y 2015 J. Zhejiang University 49 2205
[8]	Liu Y S, Gu M A, Yang J J, Shi Q G, Gao T, Yang J H 2010 Acta Phys. Sin. 59 7368 (in Chinese)[刘永生, 谷民安, 杨晶晶, 石奇光, 高湉, 杨金焕2010物理学报59 7368]
[9]	Wang L S, Liang Q Y, Li L, Ding X Z, Tang L J 2015 T. Chin. Soc. Agr. Eng. 31 64
[10]	Yang M J, Shen Q, Zhang L M 2011 Chin. Phys. B 20 106202
[11]	Li P, Cai L L, Zhai P C, Tang X, Zhang Q Z, Niino M 2010 J. Electron. Mater. 39 1522
[12]	Zhao Z L, Xu L Z, Yang T Q, Cui Q H 2010 Acta Energ. Solar Sin. 31 620 (in Chinese)[赵在理, 徐林志, 杨天麒, 崔清华2010太阳能学报31 620]
[13]	Kraemer D, Poudel B, Feng H P, Caylor J C, Yu B, Yan X, Ma Y, Wang X W, Wang D Z, Muto A, Mcenaney K, Chiesa M, Ren Z F, Chen G 2011 Nat. Mater. 10 532
[14]	Wang C Y, Li Y Z, Z J 2016 J. Refrig. 37 106
[15]	Liang G W, Zhou J M, Huang X Z 2011 Appl. Energy 88 5193
[16]	Xu L Z, Li Y, Yang Z, Chen C H 2010 J. Tsinghua University 50 287 (in Chinese)[徐立珍, 李彦, 杨知, 陈昌和2010清华大学学报50 287]
[17]	Wei J T, Xiong L C, Wang H 2012 Energ. Procedia 17 1570
[18]	Rezania A, Rosendahl L A, Yin H 2014 J. Power Sources 255 151
[19]	He W, Su Y H, Riffat S B, Hou J X, Ji J 2011 Appl. Energy 88 5083
[20]	Najafi H, Woodbury K A 2013 Sol. Energy 91 152
[21]	Rabari R, Mahmud S, Dutta A 2015 Int. J. Heat Mass Transfer 91 190
[22]	Montecucco A, Siviter J, Knox A R 2014 Appl. Energy 123 47
[23]	Kim S 2013 Appl. Energy 102 1458
[24]	Hakimi I, Nikulshin Y, Wolfus S, Yeshurun Y 2016 Cryogenics 75 1
[25]	Ali S A, Mazumder S 2013 Int. J. Heat Mass Transfer 62 373

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