A Differential Geometry Perspective to Study Power and Harmonics in Three-Phase Circuits

This work introduces a method for analyzing three- phase circuits using insights from the differential geometry of curves. Differential geometry's curvature and torsion indicators are presented for studying the behavior of three-phase systems when harmonics are present. The concept of angular frequency has also been reviewed considering the Darboux vector. Finally, a geometric interpretation of power is offered for various loads, with voltages and currents expressed per the Frenet Frame orthonormal set.