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单机系统二阶微分模型的稳定性和周期解的研究

Stability and Periodic Solution of Second-order Differential Model of Single Machine System
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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。 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-infinite system.
作者 赵贵 朱开永 姜传明
机构地区 中国矿业大学理学院
出处 《中国西部科技》 2011年第29期26-27,共2页 Science and Technology of West China
关键词 LIAPUNOV函数 周期解 稳定性 Liapunov function Periodic solution Stability
分类号 O175.1 [理学—基础数学]
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参考文献5

  • 1刘取 马维新 秦荃华等.发电机励磁附加断续控制对提高电力系统暂态稳定性的研究.清华大学学报,1980,03(3):44-50.
  • 2吴浩,韩祯祥.电压稳定和功角稳定关系的平衡点分析[J].电力系统自动化,2003,27(12):28-31. 被引量：30
  • 3V. Lakshmikantham, T.G. Bhaskar, J.V. Devi. Theory of Set Differential Equations in Metric Spaces[M]. Cambridge Scientific Publisher, 2006:56-122.
  • 4T.G. Bhaskar, J.V. Devi. Nonuniform stability and boundedness criteria for set differential equations[J].hpplicable Analysis, 2005,84(2):131-142.
  • 5T.G. Bhaskar, J.V. Devi. Stability criteria for set differential equations[J].Mathematical and Computer Modelling, 2005,41(1):1371-1378.

二级参考文献7

  • 1韩文,韩祯祥.电压崩溃与功角不稳的关系[J].电力系统自动化,1996,20(12):16-19. 被引量：15
  • 2Overbye T J,Pai M A,Sauer P W. Some Aspects of the Energy Function Approach to Angle and Voltage Stability Analysis in Power Systems. In: Proceedings of the 31st Conference on Decision and Control. Tucson(Artzons) : 1992. 2941~2946.
  • 3Overbye T J,Pai M A,Sauer P W. A Composite Framework for Synchronous and Voltage Stability in Power Systems. In:International Symposium on Circuits and Systems. San Diego(CA) : 1992.
  • 4Chiang H D,Tong J Z,Miu K N. Predicting Unstable Modes in Power Systems: Theory and Computations. IEEE Trans on Power Systems, 1993,8 (4) : 1429~ 1437.
  • 5DeMarco C L, Bergen A R. A Security Measure for Random Load Disturbances in Nonlinear Power System Models. IEEE Trans on Circuits and Systems,1987,34(12) :1546~1557.
  • 6DeMaco C L,Overbye T J. An Energy Based Security Measure for Assessing Vulnerability to Voltage Collapse. IEEE Trans on Power Systems, 1990,5 (2) : 419~427.
  • 7Vournas C D, Sauer P W, Pai M A. Relationships Between Voltage and Angle Stability of Power Systems. Electrical Powerand Energy Systems, 1996,18 (8) : 493~ 500.

共引文献30

中国西部科技
2011年 第29期

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