Application of the unique steady state elimination method in ferro-resonance for non-grounding neutral power system

FENG Ping1; WANG Er-zhi2; WANG Wei-jun1

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Application of the unique steady state elimination method in ferro-resonance for non-grounding neutral power system

更新时间：2025-11-18

- Application of the unique steady state elimination method in ferro-resonance for non-grounding neutral power system
- Vol. 31, Issue 1, Pages: 1-4+24(2011)
- 作者机构：
  
  1. 解放军后勤工程学院机械电气工程系
  2. 沈阳工业大学电气工程学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： TM864
- Published：2011
- 稿件说明：
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[1]冯平,王尔智,王维俊.唯一稳态消谐法在中性点不接地系统铁磁谐振中的应用[J].湖南电力,2011,31(01):1-4+24.

FENG Ping1, WANG Er-zhi2, WANG Wei-jun1. Application of the unique steady state elimination method in ferro-resonance for non-grounding neutral power system[J]. 2011, 31(1): 1-4+24.
[1]冯平,王尔智,王维俊.唯一稳态消谐法在中性点不接地系统铁磁谐振中的应用[J].湖南电力,2011,31(01):1-4+24. DOI：

FENG Ping1, WANG Er-zhi2, WANG Wei-jun1. Application of the unique steady state elimination method in ferro-resonance for non-grounding neutral power system[J]. 2011, 31(1): 1-4+24. DOI：

摘要

唯一稳态消谐法是近年出现的消除非线性系统谐振新的分析方法。该方法的基本思想是如果非线性系统存在一个非谐振的正常解

并且该系统具有唯一的稳态

则此时对应的条件就是系统不发生谐振的条件。本文将这方法应用在消除中性点不接地电力系统的铁磁谐振中

以矩阵范数为工具

得到了相应的消谐条件。结果表明

消除谐振的条件可以用矩阵的范数条件来决定

并用数值模拟进行验证

表明结果正确

同时也说明唯一稳态消谐法的有效性。

Abstract

Unique steady state elimination method has been a new method for eliminating resonance in non-linear system in recent years.The basic idea is that if there is a normal solution（non-resonance）for the system and the steady state of system is unique

the corresponding conditions are the conditions of eliminating resonance.In the paper

this new method is applied to analyze the eliminating of ferro-resonance in non-neutral grounding power system.Based upon matrix norms

the conditions for eliminating ferro-resonance are obtained and the method is used in ferro-resonance analysis of non-grounding neutral power system.The results show the conditions of eliminating ferro-resonance can be determined by the norm conditions of some constant matrixes and be verified by numerical simulation.And the conclusions are correct and the unique steady state elimination method is effective.

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