OPTIMIZATION METHODS FOR SEGMENTED THERMOELECTRIC GENERATORS

Shane P. Riley, Sarah E. Wielgosz, Kevin Yu, Michael J. Durka, B. Nesmith, F. Drymiotis, J. Fleurial, Matthew Barry
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Abstract

Future National Aeronautics and Space Administration deep-space missions are seeking radioisotope propulsion systems (RPS) to have specific powers above 8 [W e /kg], while having thermal conversion efficiencies greater than 12%. The design and optimization of segmented thermoelectric unicouples used within RPS requires a multi-faceted approach to maximize device performance. The design space of a unicouple can span multiple dimensions, requiring immense computational resources to conduct parametric studies. These dimensions include, but are not limited to, the independent cross-sectional areas of the n - and p -type legs, the total height of the unicouple, the length of the high-temperature n - and p -type segments, the cold-side junction temperature and the load resistance applied to the couple, considering a fixed hot-side junction temperature, fixed per-couple heat input, and desired output voltage. To this end, computationally-inexpensive methods that optimize segmented unicouples are presented and compared. These methods include physics-based algorithms that dynamically reduce the design space when nonviable configurations are found, implementation of Golden Section Search (GSS) algorithm when uni-modal behavior is observed for a specific degree of freedom, and successive design space refinement. When using both GSS and successive design space refinement algorithms, an optimum geometry was found with 5,755 times fewer solver calls in comparison to the conventional parametric study without any loss of fidelity. This comparison indicates the proposed optimization methods are robust and accurate, while also drastically reducing the computation time to find the optimum unicouple configuration that maximizes system-level power output. These methods allow for exhaustive trade studies to be conducted of newly proposed heat sources, converter materials and designs, and heat exchange systems
分段式热电发电机的优化方法
美国国家航空航天局未来的深空任务正在寻求放射性同位素推进系统(RPS),其比功率高于8 [W /kg],同时热转换效率高于12%。RPS中使用的分段热电单偶的设计和优化需要多方面的方法来最大化设备性能。单偶的设计空间可以跨越多个维度,需要大量的计算资源进行参数化研究。这些尺寸包括,但不限于,n型和p型支腿的独立横截面积,单偶的总高度,高温n型和p型段的长度,冷侧结温度和应用于偶的负载电阻,考虑固定的热侧结温度,固定的每对热输入,和期望的输出电压。为此,提出并比较了优化分段单偶的计算成本较低的方法。这些方法包括基于物理的算法,当发现不可行的配置时动态减少设计空间,当观察到特定自由度的单模态行为时实现黄金分割搜索(GSS)算法,以及连续的设计空间细化。当使用GSS和连续设计空间优化算法时,与传统参数研究相比,在没有任何保真度损失的情况下,用5,755倍的求解器调用找到了最佳几何形状。这一比较表明,所提出的优化方法鲁棒性和准确性,同时也大大减少了计算时间,以找到最佳的单偶配置,最大限度地提高系统级功率输出。这些方法允许对新提出的热源、转换材料和设计以及热交换系统进行详尽的行业研究
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