A new approach to single-phase systems under sinusoidal and non-sinusoidal supply using geometric algebra
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Gil Montoya, Francisco; Baños Navarro, Raúl; Alcayde García, Alfredo; Arrabal Campos, Francisco ManuelFecha
2020-07-01Resumen
The aim of this work is to present major upgrades to existing power theories based on geometric algebra for single-phase circuits in the frequency domain. It also embodies an interesting new approach with respect to traditionally accepted power theories, revisiting power concepts in both sinusoidal and non-sinusoidal systems with linear and nonlinear loads for a proper identification of its components to achieve passive compensation of true non-active current. Moreover, it outlines traditional power theories based on the apparent power S and confirms that these should definitively be reconsidered. It is evidenced that traditional proposals based on the concepts of Budeanu, Fryze and others fail to identify the interactions between voltage and current harmonics. Based on the initial work of Castro-Nu ́n ̃ez and others, new aspects not previously included are detailed, modified and reformulated. As a result, it is now possible to analyze non sinusoidal electrical circuits, establishing p...
Palabra/s clave
geometric algebra
nonsinusoidal power
clifford algebra
circuit theory