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arXiv · 1906.04139

Distributionally Robust Optimization for a Resilient Transmission Grid During Geomagnetic Disturbances

Mowen Lu·Sandra D. Eksioglu·Scott J. Mason·Russell Bent·Harsha Nagarajan
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Abstract

In recent years, there have been increasing concerns about the impacts of geomagnetic disturbances (GMDs) on electrical power systems. Geomagnetically-induced currents (GICs) can saturate transformers, induce hot-spot heating and increase reactive power losses. Unpredictable GMDs caused by solar storms can significantly increase the risk of transformer failure. In this paper, we develop a two-stage, distributionally robust (DR) optimization formulation that models uncertain GMDs and mitigates the effects of GICs on power systems through existing system controls (e.g., line switching, generator re-dispatch, and load shedding). This model assumes an ambiguity set of probability distributions for induced geo-electric fields which capture uncertain magnitudes and orientations of a GMD event. We employ state-of-the-art linear relaxation methods and reformulate the problem as a two-stage DR model. We use this formulation to develop a decomposition framework for solving the problem. We demonstrate the approach on the modified Epri21 system and show that the DR optimization method effectively handles prediction errors of GMD events.

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Mowen Lu, Sandra D. Eksioglu, Scott J. Mason, Russell Bent, Harsha Nagarajan. 2019-06-10. Distributionally Robust Optimization for a Resilient Transmission Grid During Geomagnetic Disturbances. https://arxiv.org/abs/1906.04139

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