New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits.

ABSTRACT: This study proposes an explanation for the physical power flow in planar circuits by analogy to theoretical two-dimensional circuits using a new mathematical model based on Geometric Algebra (GA) and 2D Maxwell's equations. In contrast with traditional 3D physics in the observable real world, the magnetic field can be defined as a bivector instead of an axial vector allowing to obtain the Poynting Vector directly in a 2D flat world, where physical variables of planar circuits can be obtained. This approach is presented here for the first time to the best of the author's knowledge. Previous investigations have focused on simplifications and symmetries of real 3D circuits studied mainly in the phasor and frequency domain. In this work, the electromagnetic power flow phenomenon is analyzed on

SUBMITTER: Montoya FG 

PROVIDER: S-EPMC9860059 | biostudies-literature | 2023 Jan

REPOSITORIES: biostudies-literature