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. Preprints2021, 2021110468. https://doi.org/10.20944/preprints202111.0468.v1
Cieśliński, J.; Walczyk, C. Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents. Preprints 2021, 2021110468. https://doi.org/10.20944/preprints202111.0468.v1
Cieśliński, J.; Walczyk, C. Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents. Preprints2021, 2021110468. https://doi.org/10.20944/preprints202111.0468.v1
APA Style
Cieśliński, J., & Walczyk, C. (2021). Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents. Preprints. https://doi.org/10.20944/preprints202111.0468.v1
Chicago/Turabian Style
Cieśliński, J. and Cezary Walczyk. 2021 "Geometric Algebra Framework Applied to Circuits with Non-sinusoidal Voltages and Currents" Preprints. https://doi.org/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 and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.