Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents

Version 1 : Received: 23 November 2021 / Approved: 25 November 2021 / Online: 25 November 2021 (10:44:08 CET)

How to cite: Cieśliński, J.; Walczyk, C. Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents. Preprints 2021, 2021110468 (doi: 10.20944/preprints202111.0468.v1). Cieśliński, J.; Walczyk, C. Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents. Preprints 2021, 2021110468 (doi: 10.20944/preprints202111.0468.v1).

Abstract

We apply a well known technique of theoretical physics, known as Geometric Algebra or Clifford algebra, to linear electrical circuits with non-sinusoidal voltages and currents. We rederive from the first principles the Geometric Algebra approach to the apparent power decomposition. The important new point consists in a choice of a natural convenient basis in the Clifford vector space which simplifies considerably the presentation. Thus we are able to derive a number of general results which are missing in the former papers. In particular, a natural correspondence with the Current Physical Components approach is shown.

Keywords

nonsinusoidal voltages and currents; harmonics; power definitions; currents' physical components; Clifford algebras

Subject

ENGINEERING, Electrical & Electronic Engineering

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