Geometric Power and Poynting Vector: a Physical Derivation for Harmonic Power Flow using Geometric Algebra

Montoya, Francisco G.; Arrabal-Campos, Francisco M.; Alcayde, Alfredo; Prado-Orban, Xabier; Mira, J.

doi:10.1109/ichqp53011.2022.9808623

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…Francisco Montoya et al 90 establish an alternative physical formulation for the harmonic power flow in electrical systems provided by GA, the Poynting Vector (PV) and the Poynting Theorem (PT). Given the traditional definition of PV (Abraham approach) as cross product of electric and magnetic field vectors, they exploit the duality of the cross product to the much more powerful wedge product of exterior algebra.…”

Section: Ga For Electric Engineeringmentioning

confidence: 99%

Survey of New Applications of Geometric Algebra

Hitzer¹,

Kamarianakis

Papagiannakis

et al. 2023

Preprint

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This survey introduces 101 new publications on applications of Clifford’s geometric algebras (GA) newly published during 2022 (until mid-January 2023). The selection of papers is based on a comprehensive search with Dimensions.ai, followed by detailed screening and clustering. Readers will learn about the use of GA for mathematics, computation, surface representations, geometry, image- and signal processing, computing and software, quantum computing, data processing, neural networks, medical science, physics, electric engineering, control and robotics.

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Section: Ga For Electric Engineeringmentioning

confidence: 99%

Survey of New Applications of Geometric Algebra

Hitzer¹,

Kamarianakis

Papagiannakis

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

Survey of new applications of geometric algebra

Hitzer,

Kamarianakis,

Papagiannakis

et al. 2023

Math Methods in App Sciences

View full text Add to dashboard Cite

This survey introduces 101 new publications on applications of Clifford's geometric algebras (GAs) newly published during 2022 (until mid‐January 2023). The selection of papers is based on a comprehensive search with Dimensions.ai, followed by detailed screening and clustering. Readers will learn about the use of GA for mathematics, computation, surface representations, geometry, image, and signal processing, computing and software, quantum computing, data processing, neural networks, medical science, physics, electric engineering, control and robotics.

show abstract

Geometric Power and Poynting Vector: a Physical Derivation for Harmonic Power Flow using Geometric Algebra

Cited by 2 publications

References 13 publications

Survey of New Applications of Geometric Algebra

Survey of New Applications of Geometric Algebra

Survey of new applications of geometric algebra

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