[1]江宁强,宋文忠.广义梯度系统完全稳定的充要条件[J].南京理工大学学报(自然科学版),2007,(04):435-439.
 JIANG Ning-qiang,SONG Wen-zhong.Necessary and Sufficient Conditions for Complete Stability of General Gradient System[J].Journal of Nanjing University of Science and Technology,2007,(04):435-439.
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广义梯度系统完全稳定的充要条件
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2007年04期
页码:
435-439
栏目:
出版日期:
2007-08-30

文章信息/Info

Title:
Necessary and Sufficient Conditions for Complete Stability of General Gradient System
作者:
江宁强1 宋文忠2
1. 南京理工大学自动化学院, 江苏南京210094; 2. 东南大学自动化学院, 江苏南京210096
Author(s):
JIANG Ning-qiang1SONG Wen-zhong2
1.School of Automation,NUST,Nanjing 210094,China;2.School of Automation,Southeast University,Nanjing 210096,China
关键词:
电力系统 暂态稳定性 广义梯度系统 势能界面 完全稳定
Keywords:
pow er system transien t stab ility genera l g radient system po tent ia l energy boundary surface complete stability
分类号:
TM712
摘要:
该文研究了广义梯度系统的拓扑性质,应用微分拓扑学原理证明,广义梯度系统的完全稳定性与势能界面的有界性是等价的;广义梯度系统完全稳定当且仅当该系统既有渊点又有源点。在此基础上提出了一种检验广义梯度系统完全稳定性的方法。对一个三机系统、新英格兰系统和IEEE50机系统的仿真验证了上述结果的正确性。
Abstract:
Th is paper investigates topo log ical propert ies o f the genera l grad ient system, and demonstrates by results of d ifferent ia l topo logy that the boundedness o f the general gradient system is equ ivalent to the boundedness o f the potential energy boundary surface ( PEBS) . Moreover, a general grad ient system is bounded i,f and only if the system has both sink po int and source po in.t B ased on these resu lts, a feasible method is proposed to check the comp lete stability of the genera l g rad ien t system. The results are con firmed by simu lations on a 3-machine system, the N ew Eng land system and the IEEE50m ach ine test system.

参考文献/References:

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相似文献/References:

[1]江宁强,宋文忠.基于非线性保稳变换的暂态稳定判别方法[J].南京理工大学学报(自然科学版),2007,(02):205.
 JIANG Ning-qiang,SONG Wen-zhong.Transient Stability Analysis Based on Nonlinear Stability-retained Map[J].Journal of Nanjing University of Science and Technology,2007,(04):205.

备注/Memo

备注/Memo:
作者简介: 江宁强( 1970 - ), 男, 江苏南京人, 博士, 讲师, 主要研究方向: 电力系统的稳定性及控制, E-ma il:jiangningqiang@hotmail.com。
更新日期/Last Update: 2007-08-30