基于MEMS电场传感器的电压反演方法研究

Research on Voltage Inversion Method Based on MEMS Electric Field Sensor

针对电场逆问题的电压反演方法涉及复杂的矩阵逆运算问题,提出了一种基于微机电系统电场传感器的电压反演测量方法。首先介绍电场积分法反演电压原理,其次建立仿真模型获取空间电场分布规律;然后利用电场积分法进行计算分析;最后通过模拟架空线路测试平台对电场积分法进行验证。结果表明:仿真显示比例系数k=0.9时,3点高斯-切比雪夫积分法可实现三相电压的准确反演,最大误差为2.55%;k=0.7时,测试得到的反演电压幅值误差为5.75%。通过仿真与试验结果验证了所提反演方法的有效性,其研究结果可为架空线路非侵入电压反演测量提供理论方法指导。

A voltage inversion measurement method based on the electric field sensors of the micro electromechanical system was proposed to address the complex matrix inversion operation involved in the voltage inversion problem of electric field inversion.Firstly,the principle of voltage inversion using electric field integration method was introduced,and secondly,a simulation model was established to obtain the distribution law of spatial electric field;then,the electric field integration method was used for calculation and analysis;finally,the electric field integration method was validated by simulating an overhead line testing platform.The results show that when the simulation shows a proportional coefficient k=0.9,the three-point Gaussian-Chebyshev integration algorithm can achieve accurate inversion of three-phase voltage,with a maximum error of 2.55%;the inversion voltage amplitude error obtained from the test is 5.75%when k=0.7.The effectiveness of the proposed inversion method is verified through simulation and experimental results,and its research results can provide theoretical guidance for non-invasive voltage inversion measurement of overhead lines.