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Coherency Estimation in Power Systems: A Koopman Operator Approach

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Computational Intelligence and Optimization Methods for Control Engineering

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 150))

Abstract

Integrating a significant amount of non-synchronous generation into power systems creates new technical challenges for transmission systems. The research and understanding of the impact of the non-synchronous generation through back-to-back Full Rated Converters’ (FRCs) on power system’s coherency is a matter of importance. Coherency behavior under the presence of large inclusion of non-synchronous generation requires more research, in order to understand the forming groups, after a disturbance, when the inertia is decreasing due to the decoupling. This document presents the application of the so-called Koopman Operator for the identification of coherent groups in power systems with the influence of non-synchronous generation. The Koopman Analysis clusters the coherent groups based on the measurements obtained. The visualization of the coherent groups identified allows to observe their dynamic variations according to the penetration level or fault location. The applied method of coherency identification is evaluated in the Nordic test system through gradually increasing integration of non-synchronous generations and different fault scenarios.

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Acknowledgements

Authors are very grateful to the Dr. Fredrik Raak and Prof. Susuki from Kyoto University for the discussion about the Koopman Mode theory, its computation and suggestions of the document.

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Authors and Affiliations

  1. KTH Royal Institute of Technology, Teknikringen 33, Stockholm, Sweden

    Harold R. Chamorro

  2. Grupo Energia Bogota, Carrera 9 # 73-44, Bogotá, Colombia

    Camilo A. Ordonez

  3. National University of Singapore, Singapore, Singapore

    Jimmy C.-H. Peng

  4. Loughborough University, Holywell Park, Epinal Way, Loughborough, UK

    Francisco Gonzalez-Longatt

  5. University of Ontario Institute of Technology, Oshawa, ON, L1H 7K4, Canada

    Vijay K. Sood

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  1. Harold R. Chamorro
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  2. Camilo A. Ordonez
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  3. Jimmy C.-H. Peng
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  4. Francisco Gonzalez-Longatt
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  5. Vijay K. Sood
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Correspondence to Harold R. Chamorro .

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Editors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA

    Maude Josée Blondin

  2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA

    Panos M. Pardalos

  3. Institute of Automation and Industrial Computer, Polytechnic University of Valencia, Valencia, Spain

    Javier Sanchis Sáez

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Chamorro, H.R., Ordonez, C.A., Peng, J.CH., Gonzalez-Longatt, F., Sood, V.K. (2019). Coherency Estimation in Power Systems: A Koopman Operator Approach. In: Blondin, M., Pardalos, P., Sanchis Sáez, J. (eds) Computational Intelligence and Optimization Methods for Control Engineering. Springer Optimization and Its Applications, vol 150. Springer, Cham. https://doi.org/10.1007/978-3-030-25446-9_9

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