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Open AccessArticle

Geometric Algebra in Nonsinusoidal Power Systems: A Case of Study for Passive Compensation

Department of Engineering, University of Almeria, CEIA3, 04120 Almeria, Spain
Symmetry 2019, 11(10), 1287; https://doi.org/10.3390/sym11101287
Received: 20 September 2019 / Revised: 26 September 2019 / Accepted: 11 October 2019 / Published: 14 October 2019
(This article belongs to the Special Issue Symmetry in Renewable Energy and Power Systems)
New-generation power networks, such as microgrids, are being affected by the proliferation of nonlinear electronic systems, resulting in harmonic disturbances both in voltage and current that affect the symmetry of the system. This paper presents a method based on the application of geometric algebra (GA) to the resolution of power flow in nonsinusoidal single-phase electrical systems for the correct determination of its components to achieve passive compensation of true quadrature current. It is demonstrated that traditional techniques based on the concepts of Budeanu, Fryze or IEEE1459 fail to determine the interaction between voltage and current and therefore, are not suitable for being used as a basis for the compensation of nonactive power components. An example is included that demonstrates the superiority of GA method and is compared to previous work where GA approaches and traditional methods have also been used. View Full-Text
Keywords: geometric algebra; nonsinusoidal power; passive compensation; clifford algebra; circuit systems geometric algebra; nonsinusoidal power; passive compensation; clifford algebra; circuit systems
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Montoya, F.G. Geometric Algebra in Nonsinusoidal Power Systems: A Case of Study for Passive Compensation. Symmetry 2019, 11, 1287.

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