Abstract The search for the Hopf bifurcation point in power systems can be made as the load is increased by small steps, and a power flow is solved for every load until a pair of purely imaginary eigenvectors has been found (zero real part). However, a search through successive power flows is time-consuming and does not guarantee that the Hopf bifurcation point will be found. This paper proposes a methodology and strategies that mitigate these problems. To increase the possibility of finding the Hopf bifurcation point, a continuation power flow is used to stablish search paths as the loading is incremented according to a fraction of the maximum loading point of the power system. It is only at specific converged continuation power flow that the dynamic state Jacobian matrix is constructed and has its eigenvalues computed. To facilitate the understanding and application of the proposal, it is used the MATPOWER (version 7.0) computer program and two available power systems.

中文翻译：

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使用 Hopf 分岔和连续潮流模拟器进行电压稳定性分析的方法

摘要 电力系统中Hopf分岔点的搜索可以随着负载的小步增加而进行，并为每个负载求解潮流，直到找到一对纯虚本征向量（零实部）。然而，搜索连续的潮流是耗时的，并且不能保证会找到 Hopf 分岔点。本文提出了一种缓解这些问题的方法和策略。为了增加找到 Hopf 分岔点的可能性，当负载根据电力系统最大负载点的一小部分增加时，使用连续潮流来建立搜索路径。只有在特定的收敛连续潮流下，动态雅可比矩阵才被构建并计算其特征值。