Frequency-depended Modeling for the Core of Power Transformer Based on Complex Permeability Considering Interlaminar Effects

ZHANG Zhongyuan; HAN Qilong

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Frequency-depended Modeling for the Core of Power Transformer Based on Complex Permeability Considering Interlaminar Effects

更新时间：2025-12-08

- Frequency-depended Modeling for the Core of Power Transformer Based on Complex Permeability Considering Interlaminar Effects
- Vol. 45, Issue 7, Pages: 2292-2298(2019)
- 作者机构：
  
  华北电力大学输变电设备安全防御重点实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published Online：30 July 2019，
  
  Published：2019
- 稿件说明：
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ZHANG Zhongyuan, HAN Qilong. Frequency-depended Modeling for the Core of Power Transformer Based on Complex Permeability Considering Interlaminar Effects[J]. 2019, 45(7): 2292-2298.
DOI：

ZHANG Zhongyuan, HAN Qilong. Frequency-depended Modeling for the Core of Power Transformer Based on Complex Permeability Considering Interlaminar Effects[J]. 2019, 45(7): 2292-2298. DOI：

摘要

现有变压器铁芯模型的建立通常未能充分考虑层间效应的影响

针对该问题

建立了考虑层间效应的铁芯复磁导率2维模型

推导了基于该复磁导率的铁芯频变阻抗表达式。在此基础上应用改进矢量匹配法对铁芯频变阻抗表达式进行了有理函数逼近

然后应用电路综合方法建立了铁芯的6阶Foster电路模型。将所建模型与未考虑层间效应的复磁导率一维模型进行了对比分析

结果表明:考虑层间效应的2维模型所得阻抗值相比一维模型所得阻抗值要低

根据铁芯参数不同

其差值约为1.3%～4%。因此

建模时有必要考虑层间效应。论文研究为基于FRA的变压器绕组准确建模打下了基础

同时也可为变压器宽频建模提供参考。

Abstract

The establishment of the existing transformer core model usually fails to fully consider the influence of the interlaminar effects. In order to solve this problem in transformer modeling

the influence of interlaminar effects on the complex permeability of the iron core was considered

and a two-dimensional model of the complex permeability of the iron core based on the Interlaminar effects was established. The modified vector fitting was used to fit the iron core frequency-dependent impedance expression. Then

a six-step Foster circuit model of the core is established by applying a circuit synthesis method

and it was compared with the one-dimension model of the complex permeability. The results show that the impedance value obtained by two-dimensional model considering the interlaminar effects is lower than that obtained by one-dimension model

the difference is about 1.3%～4% depending on the parameters of different cores.Therefore

it is necessary to consider the interlaminar effects in modeling. This paper lays the foundation for the accurate modeling of transformer winding based on FRA

and it also provides a reference for wideband modeling of transformers.

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Related Institution

Key Laboratory of Power Equipments Defence of Hebei Province, North China Electric Power University

Hebei Provincial Key Laboratory of Power Transmission Equipment Security Defense, North China Electric Power University

School of Energy and Power Engineering,Changsha University of Science and Technology

Department of Energy and Electrical Engineering, Nanchang University

Electric Power Research Institute of State Grid Jiangsu Electric Power Co., Ltd.

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