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Secondary frequency control stabilising voltage dynamics

Part of: Applications - Dynamical systems and ergodic theory Numerical problems in dynamical systems

Published online by Cambridge University Press:  20 January 2022

EDER BATISTA TCHAWOU TCHUISSEU ,
ERIC-DONALD DONGMO ,
PAVEL PROCHÁZKA ,
PAUL WOAFO ,
PERE COLET  and
BENJAMIN SCHÄFER Open the ORCID record for BENJAMIN SCHÄFER [Opens in a new window]
EDER BATISTA TCHAWOU TCHUISSEU
Affiliation:
Institute of Thermomechanics, Academy of Science of the Czech Republic, 18200 Prague 8, Czech Republic emails: ederbtt@it.cas.cz; proch@it.cas.cz
ERIC-DONALD DONGMO
Affiliation:
Department of Mechanical Engineering, College of Technology, University of Buea, Po. Box 63, Buea, Cameroon email: eric.dongmo90@gmail.com Laboratory of Modeling and Simulation in Bio-Engineering and Prototypes, University of Yaounde 1, Yaoundé, Cameroon email: pwoafo1@yahoo.fr
PAVEL PROCHÁZKA
Affiliation:
Institute of Thermomechanics, Academy of Science of the Czech Republic, 18200 Prague 8, Czech Republic emails: ederbtt@it.cas.cz; proch@it.cas.cz
PAUL WOAFO
Affiliation:
Laboratory of Modeling and Simulation in Bio-Engineering and Prototypes, University of Yaounde 1, Yaoundé, Cameroon email: pwoafo1@yahoo.fr
PERE COLET
Affiliation:
Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain email: pere@ifisc.uib-csic.es
BENJAMIN SCHÄFER
Affiliation:
School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, UK Faculty of Science and Technology, Norwegian University of Life Sciences, 1432 Å s, Norway email: benjamin.schaefer@nmbu.no
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Abstract

The ongoing energy transition challenges the stability of the electrical power system. Stable operation of the electrical power grid requires both the voltage (amplitude) and the frequency to stay within operational bounds. While much research has focused on frequency dynamics and stability, the voltage dynamics has been neglected. Here, we study frequency and voltage stability in the case of simple networks via linear stability and bulk analysis. In particular, our linear stability analysis of the network shows that the frequency secondary control guarantees the stability of a particular electric network. Even more interesting, while we only consider secondary frequency control, we observe a stabilising effect on the voltage dynamics, especially in our numerical bulk analysis.

Keywords

Networkscontrolpower gridsfrequencystabilityvoltage dynamics

MSC classification

Secondary: 65P40: Nonlinear stabilities 37N35: Dynamical systems in control
Type
Papers
Information
European Journal of Applied Mathematics , Volume 34 , Special Issue 3: The Mathematics in Renewable Energy special issue , June 2023 , pp. 467 - 483
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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