| 引用本文: | 张志朝,张尧,张建设,武志刚.Hopf 分岔的劳斯判据及其在电力系统中的应用[J].电力系统保护与控制,2005,33(1):34-37,41.[点击复制] |
| ZHANG Zhi-chao,ZHANG Yao,ZHANG Jian-she,WU Zhi-gang.Louts criterion for Hopf bifurcation and its application to electric power systems[J].Power System Protection and Control,2005,33(1):34-37,41[点击复制] |
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| 摘要: |
| 采用Hopf分岔理论研究电力系统的稳定运行问题,能够比较全面地考虑非线性系统的非线性状态,深入揭示系统失稳的机理。然而以往方法在计算Hopf分岔点时,每改变一次参数都要计算一次系统Jacobian矩阵的特征值并判断特征根实部是否为零,导致计算量较大。通过引入Hopf分岔的劳斯判据,可直接求得非线性系统的Hopf分岔点以及系统振荡的频率,克服了以往方法因计算系统Jacobian矩阵的计算量大的缺点。简单电力系统的算例分析证明了所提方法的有效性。 |
| 关键词: 电力系统 分岔理论 Hopf分岔 劳斯判据 |
| DOI：10.7667/j.issn.1674-3415.2005.01.007 |
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| 基金项目:国家自然科学基金重点项目(50337010) ;高等学校博士学科点专项科研基金资助项目(20020561004) |
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| Louts criterion for Hopf bifurcation and its application to electric power systems |
| ZHANG Zhi-chao,ZHANG Yao,ZHANG Jian-she,WU Zhi-gang |
| (Electric Power College; South China University of Technology; Guangzhou 510640; China) |
| Abstract: |
| By using Hopf bifurcation theory to analyze the stability operation of electric power systems, the nonlinear characteristics of nonlinear systems can be totally involved and the instability reasons for systems be revealed further. While to calculate the Hopf bifurcation points, the previous methods involve a great deal of computation of the eigenvalues of system's Jacobian matrix and decision whether the real parts of the eigenvalues were zero when there exist any change of the parameters in the system. In... |
| Key words: power system bifurcation theory Hopf bifurcation Louts criterion |
