Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras
Articles
Johanka Brdečková
Brno University of Technology
Jaroslav Hrdina
Brno University of Technology
Published 2025-02-26
https://doi.org/10.15388/namc.2025.30.38965
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Keywords

geometric algebra
PGA
CGA
three-phase systems

How to Cite

Brdečková, J. and Hrdina, J. (2025) “Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras”, Nonlinear Analysis: Modelling and Control, 30(2), pp. 252–269. doi:10.15388/namc.2025.30.38965.

Abstract

In a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and is not time-dependent. The proposed transformation uses the group symmetry of conformal geometric algebra, mainly rotations and tations.

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