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Stability of DC Distribution Systems: An Algebraic Derivation

Author

Listed:
  • Nils H. Van der Blij

    (Department of Electrical Sustainable Energy, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

  • Laura M. Ramirez-Elizondo

    (Department of Electrical Sustainable Energy, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

  • Matthijs T. J. Spaan

    (Department of Software Technology, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

  • Pavol Bauer

    (Department of Electrical Sustainable Energy, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

Abstract

Instability caused by low inertia and constant power loads is a major challenge of DC distribution grids. Previous research uses oversimplified models or does not provide general rules for stability. Therefore, a comprehensive approach to analyze the stability of DC distribution systems is desired. This paper presents a method to algebraically analyze the stability of any DC distribution system through the eigenvalues of its state-space matrices. Furthermore, using this method, requirements are found for the stability of three example systems. Additionally, a sensitivity analysis is performed, which considers the effect of several system parameters on the stability and disputes some overgeneralized conclusions of previous research. Moreover, various simulations are performed to illustrate the dynamic behavior of a stable and an unstable DC distribution system.

Suggested Citation

  • Nils H. Van der Blij & Laura M. Ramirez-Elizondo & Matthijs T. J. Spaan & Pavol Bauer, 2017. "Stability of DC Distribution Systems: An Algebraic Derivation," Energies, MDPI, vol. 10(9), pages 1-17, September.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:9:p:1412-:d:112091
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    References listed on IDEAS

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    1. Thomas, Brinda A. & Azevedo, Inês L. & Morgan, Granger, 2012. "Edison Revisited: Should we use DC circuits for lighting in commercial buildings?," Energy Policy, Elsevier, vol. 45(C), pages 399-411.
    2. Planas, Estefanía & Andreu, Jon & Gárate, José Ignacio & Martínez de Alegría, Iñigo & Ibarra, Edorta, 2015. "AC and DC technology in microgrids: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 726-749.
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    Cited by:

    1. Martín-Antonio Rodríguez-Licea & Francisco-Javier Pérez-Pinal & Jose-Cruz Nuñez-Perez & Carlos-Alonso Herrera-Ramirez, 2018. "Nonlinear Robust Control for Low Voltage Direct-Current Residential Microgrids with Constant Power Loads," Energies, MDPI, vol. 11(5), pages 1-20, May.
    2. Jianquan Liao & Niancheng Zhou & Qianggang Wang, 2018. "Design of Low-Ripple and Fast-Response DC Filters in DC Distribution Networks," Energies, MDPI, vol. 11(11), pages 1-20, November.

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