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Energies 2017, 10(9), 1412; doi:10.3390/en10091412

Stability of DC Distribution Systems: An Algebraic Derivation

Department of Electrical Sustainable Energy, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
Department of Software Technology, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
Author to whom correspondence should be addressed.
Received: 7 July 2017 / Revised: 8 September 2017 / Accepted: 9 September 2017 / Published: 15 September 2017
(This article belongs to the Special Issue DC Systems)
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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. View Full-Text
Keywords: DC distribution; eigenvalues; sensitivity analysis; stability; state-space DC distribution; eigenvalues; sensitivity analysis; stability; state-space

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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van der Blij, N.H.; Ramirez-Elizondo, L.M.; Spaan, M.T.J.; Bauer, P. Stability of DC Distribution Systems: An Algebraic Derivation. Energies 2017, 10, 1412.

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