A Stochastic-Robust Approach for Resilient Microgrid Investment Planning Under Static and Transient Islanding Security Constraints

When planning the investment in Microgrids (MGs), usually static security constraints are included to ensure their resilience and ability operate islanded mode. However, unscheduled islanding events may trigger cascading disconnections of Distributed Energy Resources (DERs) inside MG due transient response, leading a partial or full loss load. In this paper, min-max-min, hybrid, stochastic-robust model is proposed obtain resilient considering both High-Impact-Low-Frequency (HILF) Low-Impact-High-Frequency (LIHF) uncertainties. The HILF uncertainty pertains after disastrous event, LIHF relates correlated loads DER generation, characterized by set scenarios. under types ensured incorporating into model. inclusion response leads min-max-min problem with non-linear dynamic frequency that cannot be solved directly available optimization tools. Thus, three-stage solution approach find optimal plan. performance algorithm tested on CIGRE 18-node distribution network.