圆环坐标系下自供能转换器球冠型拓扑的建模与优化

Modeling and Optimization of Spherical Cap Topology for Energy Scavenging Converters in Toroidal Coordinate Space

电容式集能转换器的设计和优化直接影响自供能装置的整体性能。集能效率的优化可转化为体积约束条件下的拓扑参数优化,由此提出一种改进的球冠型集能转换器拓扑,并在圆环坐标系下基于分离变量法建立了其解析模型。提出储能增量系数的概念,并导出以球冠开口半径与球半径之比为变量的储能增量系数表达式。针对不同尺寸的球冠型拓扑,储能增量系数的实测结果与理论值吻合地较好,从而验证了所建立的球冠型转换器拓扑解析模型的正确性。研究结果为自供能装置集能转换器的优化设计提供了理论依据。

The topology design and optimization of the capacitive energy scavenging converter will directly determine the performance of the whole device. The optimization of the energy harvesting efficiency could be translated into optimization of the topology parameters under volume restriction. An improved converter topology with the spherical cap was proposed, and the corresponding analytical model was further established based on the method of the separation of variables within the toridal coordinate system. The concept of the energy increment factor was defined and the numerical expression was presented in term of the spherical cap radius. With regards to the spherical cap converter topology of different dimensions, the measured values of energy increment factor coincided well with their theoretical equivalents, which effectively verified the validity of the proposed analytical model for the spherical cap converter topology. The research results present the theoretical basis for optimal design of the energy scavenging devices.