This document reviews modeling and simulation of superconducting magnetic storage systems in power systems. It discusses how superconducting magnetic energy storage (SMES) systems can store excess electric energy as electromagnetic energy in high-temperature superconducting inductors. The document presents the advantages of SMES systems for applications like power system load leveling and provides a literature review on previous SMES research. It also describes the theoretical basis for SMES systems using superconducting wires and coils and concludes that the developed mathematical model can output the charging and storage characteristics of an SMES system given certain input parameters.