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Frequency-Domain Nonlinear Modeling Approaches for Power Systems Components—A Comparison

Author

Listed:
  • Marco Faifer

    (DEIB (Dipartimento di Elettronica, Informazione e Bioingegneria), Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy)

  • Christian Laurano

    (DEIB (Dipartimento di Elettronica, Informazione e Bioingegneria), Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy)

  • Roberto Ottoboni

    (DEIB (Dipartimento di Elettronica, Informazione e Bioingegneria), Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy)

  • Sergio Toscani

    (DEIB (Dipartimento di Elettronica, Informazione e Bioingegneria), Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy)

  • Michele Zanoni

    (Ricerca sul Sistema Energetico S.p.A., via Rubattino 54, 20134 Milano, Italy)

Abstract

Harmonic simulations play a key role in studying and predicting the impact of nonlinear devices on the power quality level of distribution grids. A frequency-domain approach allows higher computational efficiency, which has key importance as long as complex networks have to be studied. However, this requires proper frequency-domain behavioral models able to represent the nonlinear voltage–current relationship characterizing these devices. The Frequency Transfer Matrix (FTM) method is one of the most widespread frequency domain modeling approaches for power system applications. However, others suitable techniques have been developed in the last years, in particular the X-parameters approach, which comes from radiofrequency and microwave applications, and the simplified Volterra models under quasi-sinusoidal conditions, that have been specifically tailored for power system devices. In this paper FTM, X-parameters and simplified Volterra approaches are compared in representing the nonlinear voltage –current relationship of a bridge rectifier feeding an ohmic-capacitive dc load. Results show that the X-parameters model reaches good accuracy, which is slightly better than that achieved by the FTM and simplified Volterra models, but with a considerably larger set of coefficients. Simplified Volterra models under quasi-sinusoidal conditions allows an effective trade-off between accuracy and complexity.

Suggested Citation

  • Marco Faifer & Christian Laurano & Roberto Ottoboni & Sergio Toscani & Michele Zanoni, 2020. "Frequency-Domain Nonlinear Modeling Approaches for Power Systems Components—A Comparison," Energies, MDPI, vol. 13(10), pages 1-14, May.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:10:p:2609-:d:360889
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    References listed on IDEAS

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    1. Petr Mastny & Jan Moravek & Martin Vojtek & Jiri Drapela, 2017. "Hybrid Photovoltaic Systems with Accumulation—Support for Electric Vehicle Charging," Energies, MDPI, vol. 10(7), pages 1-24, June.
    2. Ritam Misra & Sumit Paudyal & Oğuzhan Ceylan & Paras Mandal, 2017. "Harmonic Distortion Minimization in Power Grids with Wind and Electric Vehicles," Energies, MDPI, vol. 10(7), pages 1-13, July.
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    Cited by:

    1. Luigi Fortuna & Arturo Buscarino, 2022. "Nonlinear Technologies in Advanced Power Systems: Analysis and Control," Energies, MDPI, vol. 15(14), pages 1-4, July.
    2. Dima Bykhovsky, 2022. "Experimental Lognormal Modeling of Harmonics Power of Switched-Mode Power Supplies," Energies, MDPI, vol. 15(2), pages 1-12, January.
    3. Aleksandr Skamyin & Yaroslav Shklyarskiy & Vasiliy Dobush & Iuliia Dobush, 2021. "Experimental Determination of Parameters of Nonlinear Electrical Load," Energies, MDPI, vol. 14(22), pages 1-14, November.

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