In this letter, we present an alternative mixed-integer non-linear programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global optimal solutions of the proposed ROPF problem formulation. We strengthen the MISOCP relaxation via the addition of convex envelopes and cutting planes. Computational experiments on challenging test cases show that the MISOCP-based approach yields promising results compared to a semidefinite programming based approach from the literature.

中文翻译：

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基于 MISOCP 的无功优化潮流问题的解决方法

在这封信中，我们提出了无功最优潮流 (ROPF) 问题的替代混合整数非线性规划公式。我们利用基于混合整数二阶锥规划 (MISOCP) 的方法来找到所提出的 ROPF 问题公式的全局最优解。我们通过添加凸包络和切割平面来加强 MISOCP 松弛。对具有挑战性的测试用例的计算实验表明，与文献中基于半定规划的方法相比，基于 MISOCP 的方法产生了有希望的结果。