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

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Document pages: 9 pages

Abstract: When planning the investment in Microgrids (MGs), usually static securityconstraints are included to ensure their resilience and ability to operate inislanded mode. However, unscheduled islanding events may trigger cascadingdisconnections of Distributed Energy Resources (DERs) inside the MG due to thetransient response, leading to a partial or full loss of load. In this paper, amin-max-min, hybrid, stochastic-robust investment planning model is proposed toobtain a resilient MG considering both High-Impact-Low-Frequency (HILF) andLow-Impact-High-Frequency (LIHF) uncertainties. The HILF uncertainty pertainsto the unscheduled islanding of the MG after a disastrous event, and the LIHFuncertainty relates to correlated loads and DER generation, characterized by aset of scenarios. The MG resilience under both types of uncertainty is ensuredby incorporating static and transient islanding constraints into the proposedinvestment model. The inclusion of transient response constraints leads to amin-max-min problem with a non-linear dynamic frequency response model thatcannot be solved directly by available optimization tools. Thus, in this paper,a three-stage solution approach is proposed to find the optimal investmentplan. The performance of the proposed algorithm is tested on the CIGRE 18-nodedistribution network.

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