A Stochastic-Robust Approach for Resilient Microgrid Investment Planning Under Static and Transient Islanding Security Constraints
Journal
IEEE Transactions on Smart Grid
Date Issued
January 2, 2022
DOI
10.1109/TSG.2022.3146193
Abstract
When planning the investment in Microgrids (MGs),
usually static security constraints are included to ensure their
resilience and ability to operate in islanded mode. However, unscheduled islanding events may trigger cascading disconnections
of Distributed Energy Resources (DERs) inside the MG due to
the transient response, leading to a partial or full loss of load.
In this paper, a min-max-min, hybrid, stochastic-robust investment
planning model is proposed to obtain a resilient MG considering
both High-Impact-Low-Frequency (HILF) and Low-Impact-HighFrequency (LIHF) uncertainties. The HILF uncertainty pertains to
the unscheduled islanding of the MG after a disastrous event, and
the LIHF uncertainty relates to correlated loads and DER generation, characterized by a set of scenarios. The MG resilience under
both types of uncertainty is ensured by incorporating static and
transient islanding constraints into the proposed investment model.
The inclusion of transient response constraints leads to a min-maxmin problem with a non-linear dynamic frequency response model
that cannot be solved directly by available optimization tools. Thus,
in this paper, a three-stage solution approach is proposed to find
the optimal investment plan. The performance of the proposed
algorithm is tested on the CIGRE 18-node distribution network
usually static security constraints are included to ensure their
resilience and ability to operate in islanded mode. However, unscheduled islanding events may trigger cascading disconnections
of Distributed Energy Resources (DERs) inside the MG due to
the transient response, leading to a partial or full loss of load.
In this paper, a min-max-min, hybrid, stochastic-robust investment
planning model is proposed to obtain a resilient MG considering
both High-Impact-Low-Frequency (HILF) and Low-Impact-HighFrequency (LIHF) uncertainties. The HILF uncertainty pertains to
the unscheduled islanding of the MG after a disastrous event, and
the LIHF uncertainty relates to correlated loads and DER generation, characterized by a set of scenarios. The MG resilience under
both types of uncertainty is ensured by incorporating static and
transient islanding constraints into the proposed investment model.
The inclusion of transient response constraints leads to a min-maxmin problem with a non-linear dynamic frequency response model
that cannot be solved directly by available optimization tools. Thus,
in this paper, a three-stage solution approach is proposed to find
the optimal investment plan. The performance of the proposed
algorithm is tested on the CIGRE 18-node distribution network
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