基于中心流形理论的小水电并网系统Hopf分岔分析

针对小水电并网系统,用Matcont软件搜寻系统的Hopf分岔点绘制分岔图;利用中心流形理论将高维电力系统降到二维模型,并通过计算二维模型分岔稳定性指标的正负判定原系统Hopf分岔类型。结果表明,分岔稳定性指标大于零时电压失稳,小于零时电压稳定。用Matlab软件对讨论结果进行数值仿真,证明理论结果的正确性。

Analysis on Hopf bifurcation of the grid-connected small hydropower system based on center manifold theory

Aiming at the grid-connected small hydropower system. Firstly, the Hopf bifurcation position of system is found and then bifurcation diagrams are drawn by Matcont Software. Secondly, the high-dimensional power system becomes a two-dimensional system by center manifold theory, and the bifurcation stability coefficient of the two-dimensional system is calculated to determine the Hopf bifurcation type of original system, thus some conclusions are obtained that the voltage is unstable when the stability coefficient greater than zero and the voltage is stable when the stability coefficient less than zero. Finally, Matlab Software is applied to verify the discusses.