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arXiv · 1509.07318

A Port-Hamiltonian Approach to Optimal Frequency Regulation in Power Grids

Tjerk Stegink·Claudio De Persis·Arjan van der Schaft
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Abstract

This paper studies the problem of frequency regulation in power grids, while maximizing the social welfare. Two price-based controllers are proposed; the first one an internal-model-based controller and the second one based on a continuous gradient method for optimization. Both controllers can be implemented in a fully distributed fashion, with freedom in choosing a controller communication network. As a result, two real-time dynamic pricing models described by port- Hamiltonian systems are obtained. By coupling with the port- Hamiltonian description of the physical network we obtain a closed-loop port-Hamiltonian system, whose properties are ex- ploited to prove asymptotic stability of the set of optimal points. Numerical results show the performance of both controllers in a simple case study.

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Tjerk Stegink, Claudio De Persis, Arjan van der Schaft. 2015-09-24. A Port-Hamiltonian Approach to Optimal Frequency Regulation in Power Grids. https://arxiv.org/abs/1509.07318

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