Abstract
A new algorithm named prediction–correction homotopy continuation method (PC-HCM) is proposed to track Hopf bifurcations in power systems. To overcome the calculation burden of conventional method, the secant prediction method is proposed to track Hopf bifurcation homotopy path. And the automatic step-size control strategy is produced to implement the step-by-step correction, which ensures the calculation accuracy and speed. Simulation results with WSCC 3-machine 9-bus system and NewEngland 39-bus system indicate that the proposed PC-HCM can trace Hopf bifurcations quickly and accurately.
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