摘要
分析了电力系统在非线性模型下的混沌动力学行为特征。采用庞加莱相图法、分岔理论和李亚普诺夫指数法,从定性和定量两个方面进行研究。仿真结果表明：非线性电力系统的相图结构在系统参数发生微小变化时,会出现复杂的和本质的变化,并且在一定条件下会出现一种貌似随机的运行状态,李亚普诺夫指数在一定条件下会出现正值。理论分析和仿真结果表明,电力系统在非线性模型下具有极其复杂的动力学行为特征,在一定条件下会进入到混沌运行状态。
Nonlinear dynamical systems theory and methods are used in the thesis,especially with the use of the phase diagram,bifurcation theory and lyapunov exponent method to study.The simulation result showed that the structure of phase diagram had complicated change with small change of the control parameter,there was accidental behavior and the lyapunov exponent was right under some conditions.Analysis and simulation results showed that the power system under nonlinear model with different control parameters showed complex dynamic behavior,even will produce chaotic oscillations under certain conditions.
出处
《沈阳农业大学学报》
CAS
CSCD
北大核心
2010年第3期366-368,共3页
Journal of Shenyang Agricultural University
基金
国家科技支撑计划项目(2006BAJ04B06)
关键词
电力系统非线性模型
混沌振荡
相图
李亚普诺夫指数
nonlinear model of the power system
chaotic oscillation
phase diagram
lyapunov exponent
