Analysis of non-active power in non-sinusoidal circuits using geometric algebra

A new approach for the definition of non-active power in electrical systems is presented in this paper. Thanks to the use of geometric algebra, it is possible to define a new term called geometric non-active power that is applicable to both sinusoidal and non-sinusoidal systems and to linear and non...

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Bibliographic Details
Main Authors: Gil Montoya, Francisco, Alcayde García, Alfredo, Arrabal Campos, Francisco Manuel, Baños Navarro, Raúl, Viciana, Eduardo
Format: info:eu-repo/semantics/article
Language:English
Published: 2024
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Online Access:http://hdl.handle.net/10835/15060
Description
Summary:A new approach for the definition of non-active power in electrical systems is presented in this paper. Thanks to the use of geometric algebra, it is possible to define a new term called geometric non-active power that is applicable to both sinusoidal and non-sinusoidal systems and to linear and non-linear loads. The classic definitions of distortion and reactive power are compared and discussed with our proposal. We verify how the geometric non-active power can appear in both purely resistive and purely reactive systems. The superiority of geometric algebra is revealed through several examples of electrical circuits previously analysed in specialized literature. In addition, a new geometrical current decomposition is proposed for the first time to provide a greater physical sense to existing geometric power. The results obtained show that classic concepts based on apparent power S are based on the lack of physical meaning, which is why geometric algebra theory should be adopted instead.