电力系统Hopf分岔反馈控制仿真研究

Simulation Research on Feedback Control of Power System Hopf Bifurcation

运用基于MATLAB的数值分岔软件MATCONT对1个经典的3节点系统进行了分岔分析,结果显示Hopf分岔先于鞍结分岔出现,并成功搜索到了对系统电压稳定性具有潜在威胁的亚临界Hopf分岔点。为消除或延迟3节点系统的亚临界Hopf分岔,在该系统的常微分状态方程组中分别引入以发电机转子角速度ω为反馈变量的线性状态反馈控制器和Washout filter反馈控制器,MATCONT仿真结果显示两种控制器均能够有效地消除或延迟亚临界Hopf分岔现象,扩大了系统的电压稳定域。

Bifurcation analysis was made on a typical three-node system by means of MATLAB-based numerical bifurcation software MATCONT, and results show that Hopf bifurcation occurs prior to saddle-node bifurcation. This research succeeded in searching the subcritical Hopf bifurcation point, which poses a potential threat to the system voltage stability. In order to cancel or delay the subcritieal Hopf bifurcation of the three-node system, the linear state feedback controller with ω （the Generator rotor angular velocity） as feedback variable, and Washout filter feedback controller are introduced into the ordinary differential equations. MATCONT simulation results show that both controllers can effectively cancel or delay the subcritieal Hopf bifurcation, thus the system voltage stability range is enlarged.