This review presents the applications of Geometric Algebra (GA) in electrical engineering, focusing on power systems. Key topics include AC circuit theory using GA for power flow analysis under non-sinusoidal conditions, power-free current compensation techniques, parameter identification in electrical circuits, GA-based electrical transformations, and analysis of electrical curves with geometric invariants. The review synthesizes recent advancements and highlights GA’s potential to address challenges in power system analysis, control, smart grids, and renewable energy systems, providing theoretical foundations and practical insights for researchers and practitioners.