简单电力系统的相平面特征与混沌振荡

基于简单互联的电力系统模型，把工程问题转化为具有阻尼项、受迫项和固定力矩的摆动问题。利用Melnikov方法分析了系统进入Smale马蹄意义下的混沌条件与混沌行为；讨论了电力系统处于临界状态的参数分布.结果表明，系统进入混沌的临界条件与它的具体参数有关，只需适当调节参数便可以延迟、抑制、避免或控制混沌发生，为电力系统的稳定运行提供理论依据.

The Phase Planar Properties and Chaotic Oscillation for Simple Power System

The engineering problem for a simple power system is reduced to the one of classical pendulum with a damping term, a force term and a constant momentum. The critical condition and chaotic behaviors of the system entered in a chaos with the Smale horseshoe are analyzed by Melnikov method. The parameter distribution of the power system is also discussed. It shows that the critical condition entered in a chaos is related to the parameters of the system. Regulating the parameters of the system, the chaos can be delayed, restrained, avoided or controlled, which provides the theoretical basis for the stable operation of the power system.