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矩阵测度在消除电力系统铁磁谐振中的应用

Application of Matrix Measure for Ferroresonance Elimination
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摘要 惟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,并且该系统具有惟一的稳态,则此时对应的条件就是系统不发生谐振的条件。将这一方法应用在消除中性点接地电力系统的铁磁谐振的分析中,以矩阵测度为工具,得到了相应的消谐条件。结果表明,消除谐振的条件可以用一个矩阵的测度来决定,并用数值模拟进行验证,表明结果正确,同时也说明惟一稳态消谐法有效性。 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 ferroresonance in neutral grounding power system.Based upon Matrix measure technology,the conditions for eliminating this ferroresonance are obtained,which can be determined by the measure of a matrix.The conclusions of this article are proved correct by numerical simulation,and it shows the effectiveness of unique steady state elimination method.
出处 《江苏电机工程》 2011年第2期49-51,共3页 Jiangsu Electrical Engineering
基金 国家自然基金资助项目(50477050)
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 power system ferroresonance neutral grounding power system nonlinear system unique steady state elimination method
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