高压瓷质绝缘子电场逆问题的研究及其应用

Study on Inverse Problem of Electric Field of High Voltage Ceramic Insulators and Its Application in Insulator Detection

逆问题在实际工程中有着广泛应用,绝缘子电场逆问题的解可用来检测劣质绝缘子。对于三相高压瓷质绝缘子组成的系统,根据系统的尺寸、位置等参数和模拟电荷法的基本原理建立等效模型,并建市系统逆问题方程,根据测量点 (对于110kV,每相需要3个测量点)的电场强度,利用对分法和最小二乘法求解逆问题的近似解,即匹配点的电位矩阵,然后通过数据拟合、插值计算,得到绝缘子串的电位分布,将其与绝缘子串的标准电位分布值比较,就可判断有无劣质绝缘子及其位置,最后分析了在非接触式电场测量法中杆塔对电场分布的影响。

Inverse problem is of significance in many fields, the solution of the electric filed inverse problem can be used to detect faulty insulators. For adopting ceramic insulators, three phase HV power system its equivalent model is setup according to parameters such as system size and position and the basic priciple of charge simulation method, and corresponding equation of inverse problem of the system is established. Based on the electric field intensities at measuring points （for ll0kV power system each phase needs three measuring points） and using bisection method and least squares method the approximate solution of the inverse problem, i.e., the potential matrix at measuring point, is obtained; then by means of data fitting and interpalation calculation, the potential distribution of insulator string is achieved. Comparing the achieved potential distrubution with standard potential distribution of insulator string, whether there is faulty insualor or not and the position of faulty insulator can be judged. Finally, the impact of poles and towers on electric field distribution is analyzed under non-contact electric field measuring method.