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Frequency-Dependent Pi Model of a Three-Core Submarine Cable for Time and Frequency Domain Analysis

Author

Listed:
  • Carlos Ruiz

    (Electronics and Computing Department, Mondragon University, 20500 Mondragon, Spain)

  • Gonzalo Abad

    (Electronics and Computing Department, Mondragon University, 20500 Mondragon, Spain)

  • Markel Zubiaga

    (Ingeteam R&D Europe S. L., 48170 Zamudio, Spain)

  • Danel Madariaga

    (Ingeteam R&D Europe S. L., 48170 Zamudio, Spain)

  • Joseba Arza

    (Ingeteam R&D Europe S. L., 48170 Zamudio, Spain)

Abstract

In this paper, a Frequency-Dependent Pi Model (FDPi) of a three-core submarine cable is presented. The model is intended to be used for the representation of submarine cables in an Offshore Wind Power Plant (OWPP) scenario for both time and frequency domain analysis. The frequency-dependent variation of each conductive layer is modeled by a Foster equivalent network whose parameters are tuned by means of Vector Fitting (VF) algorithm. The complete formulation for the parameterization of the model is presented in detail, which allows an easy reproduction of the presented model. The validation of the model is performed via a comparison with a well-established reference model, the Universal Line Model (ULM) from PSCAD/EMTDC software. Two cable system case studies are presented. The first case study shows the response of the FDPi Model for a three-core submarine cable. On the other hand, the second case study depicts the response of three single-core underground cables laying in trefoil formation. This last case shows the applicability of the FDPi Model to other types of cable systems and indirectly validates the response of the aforementioned model with experimental results. Additionally, potential applications of the FDPi model are presented.

Suggested Citation

  • Carlos Ruiz & Gonzalo Abad & Markel Zubiaga & Danel Madariaga & Joseba Arza, 2018. "Frequency-Dependent Pi Model of a Three-Core Submarine Cable for Time and Frequency Domain Analysis," Energies, MDPI, vol. 11(10), pages 1-21, October.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:10:p:2778-:d:176070
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    References listed on IDEAS

    as
    1. Liuming Jing & Dae-Hee Son & Sang-Hee Kang & Soon-Ryul Nam, 2017. "Unsynchronized Phasor-Based Protection Method for Single Line-to-Ground Faults in an Ungrounded Offshore Wind Farm with Fully-Rated Converters-Based Wind Turbines," Energies, MDPI, vol. 10(4), pages 1-15, April.
    2. Gonzalo Abad & Aitor Laka & Gabriel Saavedra & Jon Andoni Barrena, 2018. "Analytical Modeling Approach to Study Harmonic Mitigation in AC Grids with Active Impedance at Selective Frequencies," Energies, MDPI, vol. 11(6), pages 1-31, May.
    3. Abdullah Hoshmeh & Uwe Schmidt, 2017. "A Full Frequency-Dependent Cable Model for the Calculation of Fast Transients," Energies, MDPI, vol. 10(8), pages 1-19, August.
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    Cited by:

    1. Jaime Martínez-Turégano & Salvador Añó-Villalba & Soledad Bernal-Perez & Ramon Blasco-Gimenez, 2019. "Aggregation of Type-4 Large Wind Farms Based on Admittance Model Order Reduction," Energies, MDPI, vol. 12(9), pages 1-21, May.

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