Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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-High-Frequency (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-max-min 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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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg