双机三节点风电系统的Hopf分岔分析与控制

Analysis and Control on Hopf Bifurcation of Wind Power System Based on Two-machine and Three-bus model

将双机三节点模型接入风电场,来揭示风电并网运行系统的分岔现象和失稳机理,其中发电机为IEEE型双轴发电机.利用中心流形理论与后继函数法,研究系统的Hopf分岔类型,并对系统施加非线性控制器,根据规范性理论,将具有潜在威胁的亚临界Hopf分岔控制为超临界Hopf分岔;理论分析结果与数值模拟结果一致,验证了控制方法的有效性。

In this paper,combined with wind power model,the two-machine and three-bus model is simulated to reveal the bifurcation phenomena and mechanism of voltage instability in which the generator is dual-excited synchronous generators.Then,we investigate the Hopf bifurcation type of wind power system by the combining the center manifold theory with the subsequent function method. According to the theory of Normal Form,we design one effective nonlinear controller which can change the potential threat subcritical Hopf bifurcation to a supercritical Hopf bifurcation.The theoretical analysis and the numerical simulation results are consistent and example shows that the control method is valid.