Research on Circuit Matrix Algorithm for Calculation of FRA Results of Lumped Equivalent Circuit of Two-Winding Transformer

WANG Song; WANG Wei; ZENG Xinhai; YANG Fengye; ZHANG Naming; DUAN Nana; WANG Shuhong

doi:10.7652/xjtuxb202208012

您当前的位置：

首页 >

文章列表页 >

Research on Circuit Matrix Algorithm for Calculation of FRA Results of Lumped Equivalent Circuit of Two-Winding Transformer

更新时间：2025-07-09

- Research on Circuit Matrix Algorithm for Calculation of FRA Results of Lumped Equivalent Circuit of Two-Winding Transformer
- Vol. 56, Issue 8, Pages: 113-121(2022)
- 作者机构：
  
  1. 西北农林科技大学动力与电气系, 712100, 陕西杨凌
  2. 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/xjtuxb202208012
  CLC： TM411
- Online First：10 August 2022，
  
  Published：2022
- 稿件说明：
移动端阅览
WANG Song, WANG Wei, ZENG Xinhai, et al. Research on Circuit Matrix Algorithm for Calculation of FRA Results of Lumped Equivalent Circuit of Two-Winding Transformer[J]. 2022, 56(8): 113-121.
DOI：

WANG Song, WANG Wei, ZENG Xinhai, et al. Research on Circuit Matrix Algorithm for Calculation of FRA Results of Lumped Equivalent Circuit of Two-Winding Transformer[J]. 2022, 56(8): 113-121. DOI： 10.7652/xjtuxb202208012.

摘要

为准确、高效地计算含线饼数量较多的双绕组电力变压器集总参数等效电路的频率响应

对电路方程的矩阵算法展开研究。根据双绕组等效电路结构和各支路所接元件特点

建立了等效电路的广义支路

并据此构建了等效电路的支路电压、电流矩阵; 通过选择节点、独立回路和独立割集

基于基尔霍夫电压、电流定律

推导了等效电路频率响应的节点电压、独立回路电流与独立割集电压方程的矩阵算法; 特别地

提出了等效电路的独立割集选取方法

避免了选择基本割集时需要选定电路图的树支与连支这一复杂步骤; 基于Multisim电路仿真软件验证了所提算法的正确性。从电路方程矩阵的装配时间、方程求解时间以及总计算时间对3种算法进行了对比

结果表明:对于含线饼数量较多的双绕组变压器

独立割集电压方程矩阵算法具有最高的计算效率; 若考虑前期的独立割集选择时间

节点电压矩阵算法则更具优势。

Abstract

To accurately and efficiently calculate the FRA results of the lumped parameter equivalent circuit of a two-winding power transformer with a large number of discs

this paper studies the circuit equation matrix algorithm. First

according to the structure of the two-winding equivalent circuit and the characteristics of the components in each branch

a generalized branch of the equivalent circuit is established

and the branch voltage and branch current matrices are constructed; then

by selecting nodes

independent loops

and independent cut sets

matrix algorithms of the node voltage

loop current

and cut-set voltage equations are derived for frequency response of the circuit based on the KVL and KCL; in particular

the independent cut-set selection method for the equivalent circuit is proposed to avoid the complicated step of selecting the tree branch and the link branch of the circuit diagram when the fundamental cut-set is used; second

the accuracy of the three methods is verified by Multisim; finally

the three methods are compared in terms of the assembly time of the circuit equation matrix

the equation solving time and the total calculation time. The results show that the cut-set voltage equation matrix algorithm has the highest efficiency. However

if the selection time of the independent cut set in the early stage is considered

the node voltage matrix algorithm has more advantages.

关键词

Keywords

references

刘石, 杨毅, 田丰, 等. 变压器绕组振动传递特性仿真研究 [J]. 西安交通大学学报, 2018, 52(6): 69-75, 83.

LIU Shi, YANG Yi, TIAN Feng, et al. Finite element simulation for transformer winding vibration propagation [J]. Journal of Xi'an Jiaotong University, 2018, 52(6): 69-75, 83.

杨毅, 刘石, 田丰, 等. 突发短路条件下变压器绕组振动特性的仿真研究 [J]. 西安交通大学学报, 2017, 51(10): 19-26, 46.

YANG Yi, LIU Shi, TIAN Feng, et al. Simulation for transformer winding vibration characteristics under short circuit impact [J]. Journal of Xi'an Jiaotong University, 2017, 51(10): 19-26, 46.

张凡, 汲胜昌, 祝令瑜, 等. 短路冲击下变压器振动频响函数研究 [J]. 西安交通大学学报, 2017, 51(2): 97-103, 154.

ZHANG Fan, JI Shengchang, ZHU Lingyu, et al. Frequency response function of short circuit vibration for power transformer [J]. Journal of Xi'an Jiaotong University, 2017, 51(2): 97-103, 154.

TENBOHLEN S, VAHIDI F, JAGERS J. A worldwide transformer reliability survey [C]∥2016 VDE Conference on High Voltage Technology. Berlin, Germany: VDE Verlag GmbH, 2016: 14-19.

TENBOHLEN S, JAGERS J, GEBAUER J, et al. Transformer reliability survey: interim report [J]. Electra, 2012(261): 46-49.

毕建刚, 许渊, 常文治, 等. 《电力变压器绕组变形的频率响应分析法》行业标准修订解读 [J]. 中国标准化, 2016(23): 140-143.

BI Jiangang, XU Yuan, CHANG Wenzhi, et al. Interpretation of industrial standard revision: frequency response analysis on winding deformation of power transformers [J]. China Standardization, 2016(23): 140-143.

沈明, 尹毅, 吴建东, 等. 变压器绕组变形在线监测实验研究 [J]. 电工技术学报, 2014, 29(11): 184-190.

SHEN Ming, YIN Yi, WU Jiandong, et al. Experimental investigating on on-line monitoring of winding deformation of power transformers [J]. Transactions of China Electrotechnical Society, 2014, 29(11): 184-190.

梁贵书, 王雁超. 考虑频变参数的油浸式变压器绕组分数阶传输线模型 [J]. 电工技术学报, 2016, 31(17): 178-186.

LIANG Guishu, WANG Yanchao. Fractional transmission line model of oil-immersed transformer winding considering frequency-dependent parameters [J]. Transactions of China Electrotechnical Society, 2016, 31(17): 178-186.

LIANG Guishu, GAO Shiqiang, WANG Yanchao, et al. Fractional transmission line model of oil-immersed transformer windings considering the frequency-dependent parameters [J]. IET Generation, Transmission Distribution, 2017, 11(5): 1154-1161.

JAFARI A M, AKBARI A. Partial discharge localization in transformer windings using multi-conductor transmission line model [J]. Electric Power Systems Research, 2008, 78(6): 1028-1037.

刘云鹏, 律方成, 李成榕, 等. 基于多导体传输线模型的单相变压器绕组中放电的距离函数法定位 [J]. 电工技术学报, 2006, 21(1): 115-120.

LIU Yunpeng, LV Fangcheng, LI Chengrong, et al. Distance function locating partial discharge in single phase transformer winding based on MTL model [J]. Transactions of China Electrotechnical Society, 2006, 21(1): 115-120.

胡焕. 频率响应法检测变压器绕组变形的仿真与实验研究 [D]. 保定: 华北电力大学, 2018: 30-35.

王赞基. 变压器线圈中特快速暂态仿真的建模 [J]. 中国电机工程学报, 1996, 16(5): 299-305.

WANG Zanji. Modeling for simulating very fast transient in transformer windings [J]. Proceedings of the CSEE, 1996, 16(5): 299-305.

SHINTEMIROV A, TANG W H, WU Q H. A hybrid winding model of disc-type power transformers for frequency response analysis [J]. IEEE Transactions on Power Delivery, 2009, 24(2): 730-739.

JI T Y, TANG W H, WU Q H. Detection of power transformer winding deformation and variation of measurement connections using a hybrid winding model [J]. Electric Power Systems Research, 2012, 87: 39-46.

AMINI A, DAS N, ISLAM S. Impact of buckling deformation on the FRA signature of power transformer [C]∥2013 Australasian Universities Power Engineering Conference(AUPEC). Piscataway, NJ, USA: IEEE, 2013: 1-4.

陈晓晗. 基于有限元法的电力变压器绕组变形检测与识别的仿真研究 [D]. 重庆: 重庆大学, 2015: 41-42.

RAGAVAN K, SATISH L. An efficient method to compute transfer function of a transformer from its equivalent circuit [J]. IEEE Transactions on Power Delivery, 2005, 20(2): 780-788.

任富强, 汲胜昌, 祝令瑜, 等. 双绕组电力变压器梯形网络频率响应的矩阵算法 [J]. 西安交通大学学报, 2018, 52(2): 89-95.

REN Fuqiang, JI Shengchang, ZHU Lingyu, et al. Matrix algorithm for ladder network frequency response analysis of double-winding power transformer [J]. Journal of Xi'an Jiaotong University, 2018, 52(2): 89-95.

陈希有. 电路理论基础 [M]. 3版. 北京: 高等教育出版社, 2004: 374-384.

金仲辉, 梁德余. 大学基础物理学 [M]. 2版. 北京: 科学出版社, 2006: 201-211.

邱关源, 罗先觉. 电路 [M]. 5版. 北京: 高等教育出版社, 2006: 391-397.

程少康, 崔杜武, 刘小河. 电网络分析 [M]. 北京: 机械工业出版社, 1993: 58-59.

于歆杰, 王树民, 陆文娟, 等. 有关割集电压的讨论 [J]. 电气电子教学学报, 2006, 28(4): 29-31, 63.

YU Xinjie, WANG Shumin, LU Wenjuan, et al. Discussions on the cut set voltage [J]. Journal of Electrical Electronic Education, 2006, 28(4): 29-31, 63.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Joint Clearing Model for Electric Energy and Full Process Frequency Regulation Market with Independent Energy Storage Participation

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

Sensitivity Analysis of Foil Geometrical Parameters for the Third-Generation CO2 Gas Foil Bearings Based on Design of Experiments Method

Effects of Steam Addition on the Swirl Combustion and Emission Characteristics of Cracked Ammonia

Bi-Level Multi-Obj ective Optimization of a Wind-Solar Coupled Hydrogen Production System Based on the Synergy of Hybrid Electrolyzer Arrays

Related Author

HUANG Hankun

WANG Xiuli

ZHANG Hengyuan

LI Jie

LI Yafei

任富强

汲胜昌

祝令瑜

Related Institution

School of Electrical Engineering, Xi'an Jiaotong University

Suzhou Power Supply Branch, State Grid Jiangsu Electric Power Co., Ltd.

State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University

⁰