A major risk of geomagnetic disturbances (GMDs) is cascading failure of electrical grids. The modeling of GMD events and cascading outages in power systems is difficult, both independently and jointly, because of the many different mechanisms and physics involved. This paper introduces a relaxation based modeling of GMD-induced cascading failures:~the dc approximation-based DCSIMSEP solver was adapted to simulate cascading as a result of GMDs, the full set of ac power flow equations were relaxed to guarantee optimality, and the reactive power losses were modeled while keeping the problem convex. The developed algorithm was implemented in PowerModelsGMD.jl - an open-source software specifically designed to model and analyze geomagnetic hazards - and demonstrated to work on the RTS-GMLC-GIC-EAST synthetic test network.
@article{arxiv.2108.06585,
title = {Relaxation Based Modeling of GMD Induced Cascading Failures in PowerModelsGMD.jl},
author = {Adam Mate and Arthur K. Barnes and Steven K. Morley and Jacob A. Friz-Trillo and Eduardo Cotilla-Sanchez and Sean P. Blake},
journal= {arXiv preprint arXiv:2108.06585},
year = {2022}
}