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。
This paper investigates topological properties of the general gradient system, and demonstrates by results of differential topology that the boundedness of the general gradient system is equivalent to the boundedness of the potential energy boundary surface （PEBS）. Moreover, a general gradient system is bounded if, and only if the system has both sink point and source point. Based on these results, a feasible method is proposed to check the complete stability of the general gradient system. The results are confirmed by simulations on a 3-machine system, the New England system and the IEEE50 machine test system.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2007年第4期435-439,共5页
Journal of Nanjing University of Science and Technology
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
power system
transient stability
general gradient system
potential energy boundarysurface
complete stability
