| 单机系统二阶微分模型的稳定性和周期解的研究 |
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| 引用本文： | 赵贵,朱开永,姜传明. 单机系统二阶微分模型的稳定性和周期解的研究[J]. 中国西部科技, 2011, 0(29): 26-27 |
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| 作者姓名： | 赵贵 朱开永 姜传明 |
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| 作者单位： | 中国矿业大学理学院; |
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| 摘 要： | 电力系统的稳定、安全运行关系到国民经济的发展,本文在建立单机无限大系统的二阶微分模型之后,研究了单机无限大系统模型方程的李雅普诺夫函数在零点处的稳定性及模型方程周期解,结果表明在忽略阻尼项时模型方程的李氏函数在零点处是稳定的,而考虑阻尼项时,微分方程不存在周期解,即系统不存在周期震荡。
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| 关 键 词： | Liapunov函数 周期解 稳定性 |
Stability and Periodic Solution of Second-order Differential Model of Single Machine System |
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| ZHAO Gui,ZHU Kai-yong,JIANG Chuan-ming. Stability and Periodic Solution of Second-order Differential Model of Single Machine System[J]. Science and Technology of West China, 2011, 0(29): 26-27 |
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| Authors: | ZHAO Gui ZHU Kai-yong JIANG Chuan-ming |
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| Affiliation: | ZHAO Gui,ZHU Kai-yong,JIANG Chuan-ming(School of Science,China University of Mining and Technology,Xuzhou,Jiangsu 221116) |
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| Abstract: | The safe and steady circulate of the electric power system is important for the development of economy.Aiming at second-order differential equation model of single machine-infinite system,we discussed and analyzed the stability of zero and periodic solution.The results showed that the Liapunov function was steady at zero when ignoring dampness in model,and the periodic solution for differential equation didn't exist while considering the dampness,which denied the periodic oscillations of the single machine-... |
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| Keywords: | Liapunov function Periodic solution Stability |
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