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基于冻结系数法的唯一稳态消谐法及其在铁磁谐振中的应用
引用本文:冯平,王尔智,王维俊.基于冻结系数法的唯一稳态消谐法及其在铁磁谐振中的应用[J].南阳理工学院学报,2010,2(4):6-8,16.
作者姓名:冯平  王尔智  王维俊
作者单位:1. 解放军后勤工程学院机械电气工程系,重庆,401311;沈阳工业大学电气工程学院,辽宁,沈阳,110178
2. 沈阳工业大学电气工程学院,辽宁,沈阳,110178
3. 解放军后勤工程学院机械电气工程系,重庆,401311
基金项目:国家自然科学基金资助项目
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。本文将这一方法应用在消除中性点接地系统的铁磁谐振分析中,以冻结系数法为工具,得到了相应的消谐条件。本文的结果表明,消除谐振的条件可以用一个简单矩阵的稳定条件来决定,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。

关 键 词:电力系统  铁磁谐振  中性点接地系统  非线性系统  唯一稳态消谐法

UNIQUE STEADY ELIMINATION METHOD BASED ON FROZEN COEFFICIENT AND ITS APPLICATION IN THE FERRO RESONANCE
FENG Ping,WANG Er-zhi,WANG Wei-jun.UNIQUE STEADY ELIMINATION METHOD BASED ON FROZEN COEFFICIENT AND ITS APPLICATION IN THE FERRO RESONANCE[J].Journal of Nanyang Institute of Technology,2010,2(4):6-8,16.
Authors:FENG Ping  WANG Er-zhi  WANG Wei-jun
Institution:1.Department of Machinery and Electrical Power Engineering,Logistical Engineering University,Chongqing 401311,China;2.School of Electrical Engineering,Shenyang University of Technology,Shenyang 110178,China)
Abstract:Unique steady state elimination method is a new method for eliminating resonance in nonlinear system presented recently. Its basic idea is that if there is a normal (non-resonance) solution for the system,and the steady state of system is unique,then the corresponding conditions are the conditions for eliminating resonance. In this paper,this new method is applied to analyze the eliminating of Ferro resonance in neutral grounding power system. Based upon frozen coefficient method,the conditions for eliminating this Ferro resonance are obtained,which can be determined by the Hurwitz conditions of a simple matrix. The conclusions of this article are proved correct by numerical simulation,and it shows the effectiveness of unique steady state elimination method.
Keywords:Power system  Ferro resonance  Neutral grounding power system  Nonlinear system  Unique steady state elimination method
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