有源配电网概率承载容量的快速分析
Fast Probabilistic Hosting Capacity Analysis for Active Distribution Systems
摘要：
分布式能源（DER）的互联研究目前可能需要几个月的时间，因为它们需要模拟大量的潮流场景。如果DER是主动控制，概率托管容量分析（PHCA）的研究变得更加耗时，因为他们需要解决多个最优潮流（OPF）的任务。PHCA是加快利用多参数规划（MPP）的强大工具在这里。使用近似的网格模型，最佳DER设定点由二次规划决定，这取决于分析和不确定的参数，可能是非线性的。通过重新制定这个程序，可行的和不可行的OPF实例都以统一的方式处理，以唯一地揭示馈线约束违反的位置，频率和严重程度。电压调节器的效果也被捕获的新的近似模型。在适当地将MPP扩展到PHCA之后，我们能够通过仅求解其中的6，905个来找到IEEE 123总线馈线上的518，400个OPF实例的精确最小化器，并且通过仅求解2，111个实例来找到1，160总线馈线上的86，400个实例。这将PHCA加速了10倍。因此，公用事业可以迅速推断网格统计使用真实世界的数据，而无需不确定参数的概率表征。
英文摘要：
Interconnection studies for distributed energy resources (DERs) can currently take months since they entail simulating a large number of power flow scenarios. If DERs are to be actively controlled, probabilistic hosting capacity analysis (PHCA) studies become more time-consuming since they require solving multiple optimal power flow (OPF) tasks. PHCA is expedited here by leveraging the powerful tool of multiparametric programming (MPP). Using an approximate grid model, optimal DER setpoints are decided by a quadratic program, which depends on analysis and uncertain parameters in a possibly nonlinear fashion. By reformulating this program, feasible and infeasible OPF instances alike are handled in a unified way to uniquely reveal the location, frequency, and severity of feeder constraint violations. The effect of voltage regulators is also captured by novel approximate models. Upon properly extending MPP to PHCA, we were able to find the exact minimizers for 518,400 OPF instances on the IEEE 123-bus feeder by solving only 6,905 of them, and 86,400 instances on a 1,160-bus feeder by solving only 2,111 instances. This accelerated PHCA by a factor of 10. Thus, a utility can promptly infer grid statistics using real-world data without a probabilistic characterization of uncertain parameters.
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