Hopf分歧特征的电压控制系统分析

Analysis of Voltage Control System Exhibiting Hopf Bifurcation

本文利用Hopf分歧理论对临界负荷条件下系统的稳定性进行了分析。采用较精确的发电机双轴模型后的研究表明，与励磁系统相关的一对复特征根在临界负荷点近旁将显现出Hopf分歧特征。通过构造的一个中心流形对系统周期解的稳定性进行了研究。

Stability at critical load levels is analysed through Hopf bifurcation theory. The detailed 2-axismodel is used and the result shows that a pair of complex eigenvalues associated with the excitation systemundergo Hopf bifurcation near the critical load level. A center manifold is constructed and the stability of periodic solution is researched.