Matrix Algorithm for Ladder Network Frequency Response Analysis of Double-Winding Power Transformer

doi:10.7652/xjtuxb201802014

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Matrix Algorithm for Ladder Network Frequency Response Analysis of Double-Winding Power Transformer

更新时间：2025-07-09

- Matrix Algorithm for Ladder Network Frequency Response Analysis of Double-Winding Power Transformer
- Vol. 52, Issue 2, Pages: 89-95(2018)
- 作者机构：
  
  西安交通大学电力设备电气绝缘国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201802014
  CLC： TM401
- Online First：10 February 2018，
  
  Published：2018
- 稿件说明：
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Matrix Algorithm for Ladder Network Frequency Response Analysis of Double-Winding Power Transformer[J]. 2018, 52(2): 89-95.
DOI：

Matrix Algorithm for Ladder Network Frequency Response Analysis of Double-Winding Power Transformer[J]. 2018, 52(2): 89-95. DOI： 10.7652/xjtuxb201802014.

摘要

针对双绕组电力变压器梯形网络的仿真软件建模的非完整性以及现存等效电路频率响应算法多变量求解的低效率

围绕一种电力变压器绕组高频等效模型频率响应的矩阵计算方法开展研究

基于等效电路的拓扑结构

给出了利用阻抗支路矩阵和导纳支路矩阵来完整表示该等效电路的方法。其次

通过矩阵运算

推导了阻抗支路电流、导纳支路电流以及节点电压列向量之间的关系

进而求解节点电压列向量

获得等效电路的频率响应。最后

将矩阵算法与基于电路仿真得到的频响曲线进行比较

结果表明

曲线相关系数较大

吻合程度很高

对于不含高幅值谐振峰(-500 dB以上)的曲线

Abstract

To improve the incomplete transformer winding model in the circuit simulation software or the low efficiency of frequency response calculation due to many unknowns in the existing algorithm

a research on a matrix algorithm to calculate the frequency response of the equivalent ladder network for double-winding transformer is conducted. Following the equivalent circuit topology

the model is completely described by the impedance branch matrix and the admittance branch matrix. By means of matrix operation

the relationships of the column vectors of impedance branch current and admittance branch current with nodal voltage are obtained. The frequency response of the equivalent circuit model is calculated by solving the nodal voltage column vector. A comparison between the simulated results of matrix algorithm and those obtained by circuit simulation indicates that the correlation coefficient(CC)becomes greater showing good agreement between them. The curves without high amplitude resonance peaks(above -500 dB)coincide perfectly with a CC of 10. The matrix algorithm takes less calculation time than simulation software. Ensuring the integrality and precision of the simulation model

the proposed algorithm is endowed with good computational accuracy and efficiency due to only twice matrix inversions and less unknowns to be solved.

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references

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西北农林科技大学动力与电气系, 712100, 陕西杨凌

西安交通大学电力设备电气绝缘国家重点实验室

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