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Formulation of the Phasors of Apparent Harmonic Power: Application to Non-Sinusoidal Three-Phase Power Systems

Author

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  • Pedro A. Blasco

    (Departamento de Ingeniería Eléctrica, Universitat Politècnica de València, Plaza Ferrandiz y Carbonell s/n, 03801 Alcoy, Spain)

  • Rafael Montoya-Mira

    (Departamento de Ingeniería Eléctrica, Universitat Politècnica de València, Plaza Ferrandiz y Carbonell s/n, 03801 Alcoy, Spain)

  • José M. Diez

    (Departamento de Ingeniería Eléctrica, Universitat Politècnica de València, Plaza Ferrandiz y Carbonell s/n, 03801 Alcoy, Spain)

  • Rafael Montoya

    (Departamento de Ingeniería Eléctrica, Universitat Politècnica de València, Plaza Ferrandiz y Carbonell s/n, 03801 Alcoy, Spain)

  • Miguel J. Reig

    (Departamento de Ingeniería Mecánica y Materiales, Universitat Politècnica de València, Plaza Ferrandiz y Carbonell s/n, 03801 Alcoy, Spain)

Abstract

In this work, the expression of the phasor of apparent power of harmonic distortion is formulated in the time domain. Applying this phasor along with the phasor of apparent unbalance power allows us to obtain a new set of phasors that include all of the inefficient power components appearing in the transfer of energy in non-linear and unbalanced systems. In this manner, a new model of inefficient power in electrical systems is developed. For each voltage harmonic of order ‘m’ and current harmonic of order ‘n’, a phasor of harmonic apparent power is obtained. Accuracy in the determination of the total apparent power of a system depends on the number of harmonics considered. Each phasor of apparent harmonic power is formed from six mutually orthogonal parameters or components that are calculated from the harmonic voltages at the nodes of the network and the circulating harmonic currents. To demonstrate the validity of the proposed formulation, a four-wire non-linear system formed by two nodes is assessed.

Suggested Citation

  • Pedro A. Blasco & Rafael Montoya-Mira & José M. Diez & Rafael Montoya & Miguel J. Reig, 2018. "Formulation of the Phasors of Apparent Harmonic Power: Application to Non-Sinusoidal Three-Phase Power Systems," Energies, MDPI, vol. 11(7), pages 1-16, July.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:7:p:1888-:d:158922
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    References listed on IDEAS

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    1. Tahsin Fahima Orchi & Md Apel Mahmud & Amanullah Maung Than Oo, 2018. "Generalized Dynamical Modeling of Multiple Photovoltaic Units in a Grid-Connected System for Analyzing Dynamic Interactions," Energies, MDPI, vol. 11(2), pages 1-12, January.
    2. Kinan Wannous & Petr Toman, 2018. "Evaluation of Harmonics Impact on Digital Relays," Energies, MDPI, vol. 11(4), pages 1-20, April.
    3. Leonardo Rodrigues Limongi & Fabricio Bradaschia & Calebe Hermann de Oliveira Lima & Marcelo Cabral Cavalcanti, 2018. "Reactive Power and Current Harmonic Control Using a Dual Hybrid Power Filter for Unbalanced Non-Linear Loads," Energies, MDPI, vol. 11(6), pages 1-19, May.
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