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Quadrature Current Compensation in Non-Sinusoidal Circuits Using Geometric Algebra and Evolutionary Algorithms

Author

Listed:
  • Francisco G. Montoya

    (Department of Engineering, University of Almeria, 04120 Almeria, Spain)

  • Alfredo Alcayde

    (Department of Engineering, University of Almeria, 04120 Almeria, Spain)

  • Francisco M. Arrabal-Campos

    (Department of Engineering, University of Almeria, 04120 Almeria, Spain)

  • Raul Baños

    (Department of Engineering, University of Almeria, 04120 Almeria, Spain)

Abstract

Non-linear loads in circuits cause the appearance of harmonic disturbances both in voltage and current. In order to minimize the effects of these disturbances and, therefore, to control the flow of electricity between the source and the load, passive or active filters are often used. Nevertheless, determining the type of filter and the characteristics of their elements is not a trivial task. In fact, the development of algorithms for calculating the parameters of filters is still an open question. This paper analyzes the use of genetic algorithms to maximize the power factor compensation in non-sinusoidal circuits using passive filters, while concepts of geometric algebra theory are used to represent the flow of power in the circuits. According to the results obtained in different case studies, it can be concluded that the genetic algorithm obtains high quality solutions that could be generalized to similar problems of any dimension.

Suggested Citation

  • Francisco G. Montoya & Alfredo Alcayde & Francisco M. Arrabal-Campos & Raul Baños, 2019. "Quadrature Current Compensation in Non-Sinusoidal Circuits Using Geometric Algebra and Evolutionary Algorithms," Energies, MDPI, vol. 12(4), pages 1-17, February.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:4:p:692-:d:207816
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    References listed on IDEAS

    as
    1. Bouzid, Allal M. & Guerrero, Josep M. & Cheriti, Ahmed & Bouhamida, Mohamed & Sicard, Pierre & Benghanem, Mustapha, 2015. "A survey on control of electric power distributed generation systems for microgrid applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 44(C), pages 751-766.
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    Cited by:

    1. Bin Zhao & Gang Wang, 2019. "PSO-Algorithm-Based Optimal Design of LCLC Resonant Converters for Space Travelling-Wave Tube Amplifiers Applications," Energies, MDPI, vol. 12(12), pages 1-16, June.
    2. Shengbao Yu & Nan Chen & Lihui Gao & Haigen Zhou & Yong Huang, 2019. "Suppressing Conducted DM EMI in an Active Power Filter via Periodic Carrier Frequency Modulation," Energies, MDPI, vol. 12(10), pages 1-14, May.
    3. Francisco G. Montoya & Raúl Baños & Alfredo Alcayde & Francisco Manuel Arrabal-Campos & Javier Roldán Pérez, 2021. "Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply," Mathematics, MDPI, vol. 9(11), pages 1-17, May.
    4. Francisco G. Montoya & Raúl Baños & Alfredo Alcayde & Francisco Manuel Arrabal-Campos & Javier Roldán-Pérez, 2021. "Vector Geometric Algebra in Power Systems: An Updated Formulation of Apparent Power under Non-Sinusoidal Conditions," Mathematics, MDPI, vol. 9(11), pages 1-18, June.
    5. Alfredo Alcayde & Raul Baños & Francisco M. Arrabal-Campos & Francisco G. Montoya, 2019. "Optimization of the Contracted Electric Power by Means of Genetic Algorithms," Energies, MDPI, vol. 12(7), pages 1-13, April.
    6. Francisco G. Montoya & Raúl Baños & Alfredo Alcayde & Francisco Manzano-Agugliaro, 2019. "Optimization Methods Applied to Power Systems," Energies, MDPI, vol. 12(12), pages 1-8, June.

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