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Partial Contraction Analysis for a DC Microgrid with Modular DC-DC Buck Power Converters

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Applied Computer Sciences in Engineering (WEA 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1274))

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Abstract

DC microgrids have emerged as an appropriated solution to the world energy crisis by integrating renewable energy sources, storage devices and modern loads. One of the most critical issues of the DC microgrids is to remain stable after being subject to large disturbances such as changes in loads, switching operation modes and short circuit faults. In this paper we exploit contraction analysis of switching systems to guarantee proper performance and global stability of a DC microgrid integrated by a set of controlled DC-DC buck power converters. Analytical results of global stability for an all-to-all network of N DC-DC power converters in terms of the coupling strength are presented and validated numerically for a set of eight power converters.

This work was supported in part by University Antonio Nariño through the research project 2018216, and in part by the Council of the National research training (COLCIENCIAS) under the grant Call for PhD studies abroad Number 529.

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Author information

Authors and Affiliations

  1. Facultad de Ingeniería Mecánica, Electrónica y Biomédica, Universidad Antonio Nariño, Bogota, Colombia

    Christian Erazo Ordoñez & Daniel Muñoz Guzman

  2. R&D Department, Meero, Paris, France

    Cristian Ocampo Blandon

Authors
  1. Christian Erazo Ordoñez
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  2. Daniel Muñoz Guzman
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  3. Cristian Ocampo Blandon
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Corresponding author

Correspondence to Christian Erazo Ordoñez .

Editor information

Editors and Affiliations

  1. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Juan Carlos Figueroa-García

  2. Infantry School of the National Colombian Army, Bogotá, Colombia

    Fabián Steven Garay-Rairán

  3. National University of Colombia, Bogotá, Colombia

    Germán Jairo Hernández-Pérez

  4. Corporación Unificada Nacional CUN, Bogotá, Colombia

    Yesid Díaz-Gutierrez

A Matrix measures

A Matrix measures

The matrix measure (Vidyasagar 2002) [17] associated to a matrix A is listed in Table 1.

Table 1. Standard Matrix measures
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Erazo Ordoñez, C., Muñoz Guzman, D., Ocampo Blandon, C. (2020). Partial Contraction Analysis for a DC Microgrid with Modular DC-DC Buck Power Converters. In: Figueroa-García, J.C., Garay-Rairán, F.S., Hernández-Pérez, G.J., Díaz-Gutierrez, Y. (eds) Applied Computer Sciences in Engineering. WEA 2020. Communications in Computer and Information Science, vol 1274. Springer, Cham. https://doi.org/10.1007/978-3-030-61834-6_38

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  • DOI: https://doi.org/10.1007/978-3-030-61834-6_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-61833-9

  • Online ISBN: 978-3-030-61834-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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