2020/02/07 by Francisco G. Montoya, Montoya, Francisco G.
Engineering · #Control Systems in Engineering #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Power Quality and Harmonics #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2002.04217
openalex publication_date 2020/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this work is to present major upgrades to existing power theories\nbased on geometric algebra for single-phase circuits in the frequency domain.\nIt also embodies an interesting new approach with respect to traditionally\naccepted power theories, revisiting power concepts in both sinusoidal and\nnon-sinusoidal systems with linear and nonlinear loads for a proper\nidentification of its components to achieve passive compensation of true\nnon-active current. Moreover, it outlines traditional power theories based on\nthe apparent power S and confirms that these should definitively be\nreconsidered. It is evidenced that traditional proposals based on the concepts\nof Budeanu, Fryze and others fail to identify the interactions between voltage\nand current harmonics. Based on the initial work of Castro-N 'u ~nez and\nothers, new aspects not previously included are detailed, modified and\nreformulated. As a result, it is now possible to analyze non sinusoidal\nelectrical circuits, establishing power balances that comply with the principle\nof energy conservation, and achieving optimal compensation scenarios with both\npassive and active elements in linear and non-linear loads.\n