变压器多导体传输线模型求解改进设计研究  

Research on improved design of transformer multi-conductortransmission line model solution

作　　者：李阳 唐志国[1] LI Yang;TANG Zhiguo(Beijing Key Laboratory of High Voltage&EMC,North China Electric Power University,Beijing 102206,China)

机构地区：[1]华北电力大学高电压与电磁兼容北京市重点实验室,北京102206

出　　处：《电测与仪表》2025年第4期201-207,共7页Electrical Measurement & Instrumentation

基　　金：国家电网公司总部科技项目(5500-202040418A-0-0-00)。

摘　　要：多导体传输线(multi-conductor transmission line, MTL)模型是仿真分析变压器绕组波过程的有效工具。应用MTL模型对绕组线匝数目较多的变压器进行仿真分析时,需要人工在有限元分析软件搭建绕组等效模型求解电容参数,工作量大且繁琐。此外,MTL模型频域求解方程解耦矩阵为非对称复矩阵,数值计算不稳定且程序运行时间较慢。为此,文中提出基于ActiveX技术,使用MATLAB控制ANSYS(ansys electronics)实现自动化建模,用时仅需33 s,减少了人工干预,提高了自适应性;仿真分析分布参数对MTL方程求解结果的影响,发现电导参数对方程求解结果无影响。忽略电导参数并通过特征值和特征向量数学变换,将原有非对称复矩阵对角化解耦问题转换为稀疏实对称矩阵对角化解耦问题,将程序运行时间缩短49.919%,提高程序运行效率。文中所做工作将变压器MTL模型求解工作不再分裂,变为一个整体,针对不同的绕组只需修改参数即可求解MTL方程,不必进行重复工作,同时缩短程序运行时间,为工程应用提供便利。The multi-conductor transmission line(MTL)model is an effective tool to simulate and analyze the wave process of transformer windings.When applying the MTL model to simulate and analyze a transformer with a large number of winding turns,it is necessary to manually build an equivalent model of the winding in finite element analysis software to solve the capacitance parameters,which is workload-intensive and cumbersome.In addition,the decoupling matrix of the frequency domain solution equation of the MTL model is an asymmetric complex matrix,and the numerical calculation is unstable and the program running time is slow.Therefore,based on ActiveX technology,the MATLAB is used to control ANSYS(ansys electronics)to automate modeling in only 33 s,so as to reduce manual intervention and improve adaptivity.This paper simulates and analyzes the influence of distribution parameters on the solution results of MTL equations,it is found that the conductivity parameters have no effect on the solution results.By ignoring the conductivity parameters and transforming the eigenvalues and eigenvectors,the original asymmetric complex matrix diagonalization decoupling problem is converted into a sparse real symmetric matrix diagonalization decoupling problem,which reduces the program running time by 49.919%,and improves the efficiency of the program.The work done in this paper will no longer split the transformer MTL model solving work into a whole,for different windings,MTL equation can be solved only by modifying the parameters,without repeated work,as well as shorten the running time of program,which provides the convenience for engineering applications.

关 键 词：变压器 多导体传输线 自动化建模 解耦优化 

分 类 号：TM41[电气工程—电器]