Abstract Multi-area interconnected schemes are beneficial for power networks to coordinate energy resources and have created the need to identify the critical conditions for transferring power among multiple subareas. This study proposes an improved continuation power flow (CPF) model to calculate the power transfer limits (PTL) among interconnected networks corresponding to either saddle node bifurcation (SNB) or limit-induced bifurcation (LIB). Formulations of the cooperation in multi-area automatic generation control (AGC) systems are proposed to express the power balance in each subarea and the adjustments of power exchange. The predictor-corrector scheme for the improved CPF is derived and restated. Moreover, a practical step size control method is proposed in accordance with polynomial fitting analysis with the relevant computational variables to enhance the performance and efficiency of CPF steps. Case studies based on an IEEE 5-bus, IEEE 118-bus and Polish 2383-bus test system demonstrate the efficiency of the proposed CPF model and its ability to generate reliable PTL results.

中文翻译：

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多区域互联电网的输电极限计算

摘要 多区域互联方案有利于电网协调能源资源，并产生了确定多个子区域之间传输电力的临界条件的需求。本研究提出了一种改进的连续潮流 (CPF) 模型，用于计算对应于鞍节点分叉 (SNB) 或极限诱导分叉 (LIB) 的互连网络之间的功率传输极限 (PTL)。提出了多区域自动发电控制（AGC）系统合作的公式，以表达各分区的电力平衡和电力交换的调整。推导出并重申了用于改进 CPF 的预测器-校正器方案。而且，根据多项式拟合分析与相关计算变量，提出了一种实用的步长控制方法，以提高CPF步骤的性能和效率。基于 IEEE 5 总线、IEEE 118 总线和波兰 2383 总线测试系统的案例研究证明了所提出的 CPF 模型的效率及其生成可靠 PTL 结果的能力。