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基于Clarke矩阵不对称输电线路相模变换矩阵的求解及其分析

Solution of Phase-mode Transformation Matrix of Asymmetrical Transmission Lines and Its Analysis Based on Clarke Matrix

【作者】 贾鹏

【导师】 张庆超;

【作者基本信息】 天津大学 , 电气工程, 2014, 硕士

【摘要】 随着电力系统的规模的扩大,超高压长距离输电线路开始广泛应用,由于成本和技术的原因,超高压输电线路采取不换位的运行方式,这使得电力系统的参数变得不再对称。对于参数不对称的输电线路,如果采用传统的分析方法如对称分量法不能实现序分量之间的解耦,如果采用相分量法计算量太大,计算效率不高,而采用等传输常数模分量法不仅能够计算参数不对称的电力系统,而且计算量也小于相分量法。等传输常数模分量法的核心在于求解使得参数乘积矩阵对角化的矩阵,即相模变换矩阵,对于参数对称的输电线路,Clarke矩阵是常用的标准相模变换矩阵,而对于参数不对称的输电线路,其相模变换矩阵也应该与Clarke矩阵存在某种联系,为求解不对称输电线路的相模变换矩阵,本文先用Clarke矩阵对参数乘积矩阵进行相似变换,然后再对相似变换矩阵进行对角化,得到了Clarke矩阵的修正矩阵,最后将Clarke矩阵和修正矩阵相乘,得到了适用于不对称输电线路的相模变换矩阵。之后,应用等传输常数模分量法对不对称输电线路进行故障分析和故障测距,将仿真结果和本文的计算结果进行对比,验证了本文提出的方法在处理不对称输电线路故障分析中的正确性和可行性。

【Abstract】 With the expanding of the scale of the power system, the ultra-voltageand long distance transmission lines have a wide range of applications, dueto cost and technology, the ultra-voltage and long distance transmissionlines employ un-transposed operation, which makes the parameters of thepower system no longer symmetry. For asymmetrical parameters oftransmission lines, if we adopt the traditional analysis method such assymmetry component, we can’t realize the decoupling among the sequencecomponent, if we adopt the phase component, the amount of calculation istoo large and the efficiency is not high, if we adopt the equal transmissionconstant of mode component method, we can not only solve theasymmetrical transmission line, but also have small amount calculationcompared with phase component method.The core of the equal transmission constant of mode componentmethod is to solve a matrix which makes the product matrix diagonalization,namely the phase-mode transformation matrix. Clarke matrix is a standardtransformation matrix for symmetry parameter transmission lines, thephase-mode of the asymmetrical parameter transmission lines should have arelation to the Clarke matrix. To solve the phase-mode transformationmatrix of the asymmetrical transmission lines, this paper firstly makesimilarity transformation by the Clarke matrix for the product matrix, thenwe make the similarity transformation matrix diagonalization, whichobtains the corrected matrix. Finally we multiply the Clarke matrix by thecorrected matrix to obtain the phase-mode transformation matrix which issuitable for the asymmetrical transmission lines. Afterwards, we adopt theequal transmission constant of mode component method to make faultanalysis and fault location. Compared to the simulation results and thecalculation results, the accuracy and the feasibility of the proposed methodwhich deals with the fault analysis of the asymmetrical transmission linesare verified.

  • 【网络出版投稿人】 天津大学
  • 【网络出版年期】2015年 05期
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