The legacy Optimal Power Flow (OPF) dispatch in electric power grids with high proliferation of renewables can be at risk due to the lack of awareness on major uncertainties, and sudden changes in renewable outputs. This may, in turn, result in conditions where transmission line power flows are significantly exceeded, and subsequent automatic protective actions take place. This letter presents a new generalized joint chance-constrained model for the OPF problem that effectively captures the stochasticity in renewable power generation in the system. In dealing with the complexity, and non-convexity of the proposed optimization model with probabilistic guarantees, we propose a novel tractable Boolean method to transform the model into an equivalent deterministic mixed-integer linear problem, which can be solved quickly, and efficiently by off-the-shelf solvers. Numerical results verify the effectiveness of the proposed model, and the suggested Boolean methodology.

中文翻译：

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具有概率保证的最优潮流模型：布尔方法

由于缺乏对主要不确定性的认识以及可再生能源输出的突然变化，可再生能源高度扩散的电网中的传统最优潮流 (OPF) 调度可能面临风险。反过来，这可能导致传输线路功率流显着超过的情况，并且随后会发生自动保护动作。这封信为 OPF 问题提出了一个新的广义联合机会约束模型，该模型有效地捕捉了系统中可再生能源发电的随机性。在处理所提出的具有概率保证的优化模型的复杂性和非凸性时，我们提出了一种新颖的易处理布尔方法，将模型转换为等效的确定性混合整数线性问题，该问题可以快速解决，并且通过现成的求解器有效。数值结果验证了所提出模型的有效性，以及所建议的布尔方法。