| 引用本文: | 刘宪林,丁超杰,王子琦,周 鹏.电力系统小扰动稳定的直接法分析[J].电力自动化设备,2011,31(7): |
| LIU Xianlin,DING Chaojie,WANG Ziqi,ZHOU Peng.Direct method to analyze small signal stability of electric power systems[J].Electric Power Automation Equipment,2011,31(7): |
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| 摘要: |
| 对李亚普诺夫直接法用于分析和评价电力系统小扰动稳定性进行研究。介绍了线性定常系统稳定性的直接法判据，剖析了求解李亚普诺夫方程的算法，引入状态偏差量平方积分指标对系统动态性能进行评价。以4个算例系统的低频振荡为对象，具体研究直接法在电力系统小扰动稳定分析中的应用。研究结果表明：直接法可以正确可靠地判断电力系统的小扰动稳定性；采用功角偏差平方积分指标评价低频振荡动态特性比常用的机电模式最小阻尼比更为全面，丰富了电力系统小扰动稳定性的评价方法。 |
| 关键词: 电力系统 稳定性 直接法 李亚普诺夫方程 低频振荡 稳定判据 |
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| Direct method to analyze small signal stability of electric power systems |
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LIU Xianlin1, DING Chaojie1, WANG Ziqi2, ZHOU Peng2
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1.School of Electrical Engineering，Zhengzhou University，Zhengzhou 450001，China;2.Henan Electric Power Dispatching and Communication Center，Zhengzhou 450052，China
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| Abstract: |
| It is investigated to apply Lyapunov direct method to the analysis and evaluation of power system small signal stability. Its criterion for linear system is introduced and the algorithm to solve Lyapunov functions is analyzed. The square integral of state deviation is introduced to evaluate the dynamic performance of system. The low frequency oscillation of four example systems is studied and results show that，the direct method can accurately and reliably estimate the small signal stability of power system；the index of square integral of power-angle deviation evaluates the dynamic performances of low frequency oscillation more comprehensively than the commonly-used minimum damping ratio. |
| Key words: electric power systems stability direct method Lyapunov functions low frequency oscillation stability criteria |
