摘要
本文利用现代应用数学的研究成果,对弱联电力系统在弱周期负荷功率干扰下的跳跃、突变、分叉和浑沌现象作了较全面的分析,建立了弱联电力系统的数学模型及两种典型浑沌模型。文中采用Melnikov方法导出了电力系统产生分叉与浑沌的具体条件。理论推导及分析与电力系统的物理概念和实际情况相符,为电力系统振荡行为的研究提供了新的思路和途径。
This paper comprehensively studies the jump, catastrophe, bifurcation and chaotic phenomena of weak-tie connected power systems disturbed by small periodic load power. The mathematic model and two chaos models of weakly connected power systems are established. The conditions in which bifurcation and chaos occur are obtained by Melnikov Method.The result of this paper indicates that the often-used Small Disturbance Method incompletely reflects the behavior of power systems affected by small disturbance.Nonlinear Dynamics Theory can provide a new way to study power system oscillations.
出处
《控制与决策》
EI
CSCD
北大核心
1989年第6期17-23,共7页
Control and Decision