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Algorithms for Mitigating the Effect of Uncertain Geomagnetic Disturbances in Electric Grids

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Document pages: 8 pages

Abstract: Geomagnetic disturbances (GMDs), a result of space weather, pose a severerisk to electric grids. When GMDs occur, they can cause geomagnetically-inducedcurrents (GICs), which saturate transformers, induce hot-spot heating, andincrease reactive power losses in the transmission grid. Furthermore,uncertainty in the magnitude and orientation of the geo-electric field, andinsufficient historical data make the problem of mitigating the effects ofuncertain GMDs challenging. In this paper, we propose a novel distributionallyrobust optimization (DRO) approach that models uncertain GMDs and mitigates theeffects of GICs on electric grids. This is achieved via a set of mitigationactions (e.g., line switching, locating blocking devices, generator re-dispatchand load shedding), prior to the GMD event, such that the worst-caseexpectation of the system cost is minimized. To this end, we develop acolumn-and-constraint generation algorithm that solves a sequence ofmixed-integer second-order conic programs to handle the underlying convexsupport set of the uncertain GMDs. Also, we present a monolithic exactreformulation of our DRO model when the underlying support set can beapproximated by a polytope with three extreme points. Numerical experiments on epri-21 system show the efficacy of the proposed algorithms and the exactreformulation of our DRO model.

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