基于一种Gauss型积分算法的输电线路电压测量方法与试验

doi:10.19595/j.cnki.1000-6753.tces.191417

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摘要针对电场积分法部分节点过于靠近导线、积分域划分不便于计算等问题,该文提出一种给定节点的Gauss型数值积分方法,从而降低非线性方程的求解难度,优化积分节点参数,提高电压测量精度。首先,结合空间电场数值积分法原型,建立给定节点的Gauss型积分方法计算模型,推导出含电场扰动因素的节点参数解析式;然后,利用Maxwell电磁仿真软件计算三相输电线路下方的电场分布情况,结合积分节点选取的限定因素,计算出节点坐标与对应权值;最后,搭建D-dot传感器测量实验平台检验所提出电压测量方法的有效性。根据5~20 kV电压范围内的重复试验结果,所提出的Gauss型电压测量方法相对误差小于0.5%,相比原型方法具有更好的测量效果。

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	汪金刚
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关键词 ： Gauss型积分法, 场效应式传感器, 非接触测量, 电磁仿真

Abstract：Aiming at flaws that existed in the electric field integration method, such as some nodes are too close to the transmission line, the segmentation of the integration domain is inconvenient to calculate, in this paper, a Gauss-type numerical integration method with the given node was proposed, to reduce the difficulty in solving nonlinear equations, optimize the integration node parameters, and improve voltage measuring precision. First, comparing with the prototype method, the Gauss-type calculation models with the given node were established, and the analytical formula with E-field disturbance factors was derived for calculating the node parameters. Then, the E-field distribution was calculated under the transmission line by the electromagnetic simulation software Maxwell. Combining with the conditional factors in the selection of the integral node, the coordinates and the corresponding weights of the nodes were calculated. Finally, a D-dot sensor measurement experimental platform was built and the effectiveness of the proposed method was verified. According to the repeated test results in the voltage range of 5~20 kV, the relative error of the proposed Gauss-type method is less than 0.5%, which means a better measurement performance than the prototype method.

Key words： Gauss-type integral field-effect sensor non-contact measurement electromagnetic simulation

收稿日期: 2019-08-14

PACS:

TM930

基金资助:国家自然科学基金项目（51677009）和重庆市技术预见与制度创新科技项目（cstc2019jsyj-yzysbAX0021）资助

通讯作者: 颜晓军男,1994年生,博士研究生,研究方向为电磁测量与计算、电场传感器设计、多源解耦方法等。E-mail：yxjdm@cqu.edu.cn

作者简介: 汪金刚男,1979年生,教授,博士生导师,研究方向为电磁场测量与计算、弱信号测量与处理、高压设备放电检测技术、电力系统运行与控制等。E-mail：jingang_023@163.com

引用本文:

汪金刚, 颜晓军, 李想, 廖巨成, 陶亚琴. 基于一种Gauss型积分算法的输电线路电压测量方法与试验[J]. 电工技术学报, 2021, 36(19): 3978-3986. Wang Jingang, Yan Xiaojun, Li Xiang, Liao Jucheng, Tao Yaqin. Method and Experimental Study of Transmission Line Voltage Measurement Based on a Gauss-Type Integral Algorithm. Transactions of China Electrotechnical Society, 2021, 36(19): 3978-3986.

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