I. Introduction
Geomagnetic disturbances (GMDs) are the transient variations in the Earth's magnetic field that are caused by the solar storms or coronal mass ejections [1]–[2]. Solar storms release large amount of charged particles, which travel about 1 to 3 days until they get to the Earth [3]. The charged particles cause short-term variations in the Earth's magnetic field and induce earth surface potentials (ESPs) with values up to 10 volts/km or higher [4]. The ESPs in tum produce geomagnetically induced currents (GICs) through the neutral connections of transformers and transmission lines in the vicinity of the affected regions. The frequency of GICs are typically below 1 Hz, therefore GICs are considered quasi-direct or direct currents for the purposes of electric grid analysis. The quasi-direct GICs can saturate transformer cores and generate harmonics in the windings, causing detrimental effects such as reactive power losses, voltage fluctuations, and transformer heating [5]–[6].