基于复变函数法的准静电场电容分析与有限元仿真

Finite Element Simulation and Capacitive Analysis Based on Complex Variable Method of Quasi-electrostatic Field

针对高速运动目标的精确定距问题,提出应用复变函数法对基于准静电场的耦合式电容探测器进行电容分析。该方法适用于分析对称模型,简单有效,计算结果更为精确,直接反映电容与电极结构参数间的关系。有限元仿真结果分析表明,增大电极直径对提高传感器探测灵敏度效果更为显著,而极间距大小对灵敏度的影响具有一定的限度,选择时需综合考虑探测距离及范围要求。复变函数法电容计算公式和有限元仿真结果均与静态实验结果吻合,为后续优化实验方案指明了方向。

Aiming at the distance determination problem of high-speed motion targets,a capacitive analytic approach based on complex variable method was proposed for the planar capacitive coupling sensor working in quasi-electrostatic field.This approach,applying to analyze symmetry model,needed little calculation and more accurate.It directly reflected the relation between the capacitance and electrode structural parameters.Simulation results showed that increasing electrode diameter had a major influence on improving the sensitivity,and electrode spacing had no significant effect.Proper electrode spacing needed to be selected in order to meet the detection range and distance.A good agreement was obtained by the theoretical comparison.These results contributed the experiment schemes improvement and optimization in the future work.