摘要
在宏现层次上发现了电力系统“滑步但同步”的现象,并在微观层次上揭示了其几何结构。用坐标平面投影法分析了多机电力系统中滑步现象的微观结构;区分了投影轨迹上性质不同的两类动态鞍点。一类是投影点处的轨迹走向服从鞍点规律,且由于投影点位于稳定流形与不稳定流形分割的相平面的上部或下部,故轨迹将沿稳定流形方向到达动态鞍点再沿不稳定流形方向离开该点;另一类服从焦点规律,而由于投影相平面上的平衡点位置变化而在动态过程中引成轨迹上的动态鞍点。虽然两种情况下都有滑步行为,但只有前者才是轨迹趋于无界的必要条件。
The slip phenomenon without loss of synchronization is discovered in power systems and its microscopic structure is disclosed. Two kinds of dynamic saddle points are distinguished by analyzing the microscopic structure of slip with the coordinate-plane-projection (CPP) method. One is the saddle-type structure where the projection point is located either in the up part or the down part of the phase plane, which is divided by both stable and unstable manifolds. The other is the focus-type structure with a time-varying equilibrium point. Although slips occur in both cases, only the slip with saddle-type structure may cause the loss of synchronization.
出处
《电力系统自动化》
EI
CSCD
北大核心
2003年第24期6-9,共4页
Automation of Electric Power Systems
基金
国家重点基础研究专项经费资助项目(G1998020301)
国家自然科学基金(10272031)
