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An energy-based analysis of reduced-order models of (networked) synchronous machines

posted on 06.08.2021, 16:20 authored by T. W. Stegink, C. De Persis, A. J. Van Der Schaft

Stability of power networks is an increasingly important topic because of the high penetration of renewable distributed generation units. This requires the development of advanced techniques for the analysis and controller design of power networks. Although there are widely accepted reduced-order models to describe the power network dynamics, they are commonly presented without details about the reduction procedure. The present article aims to provide a modular model derivation of multi-machine power networks. Starting from first-principle fundamental physics, we present detailed dynamical models of synchronous machines and clearly state the underlying assumptions which lead to some of the standard reduced-order multi-machine models. In addition, the energy functions for these models are derived, which allows to represent the multi-machine systems as port-Hamiltonian systems. Moreover, the systems are proven to be shifted passive, which permits for a power-preserving interconnection with other passive components.


This work is supported by the Netherlands Organisation for Scientific Research (NWO) programme Uncertainty Reduction in Smart Energy Systems (URSES) under the auspices of the project Energy-based analysis and control of the grid: dealing with uncertainty and markets (ENBARK);Stichting voor de Technische Wetenschappen [URSES, ENBARK].