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arXiv · 1603.06688

Optimal power dispatch in networks of high-dimensional models of synchronous machines

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

This paper investigates the problem of optimal frequency regulation of multi-machine power networks where each synchronous machine is described by a sixth order model. By analyzing the physical energy stored in the network and the generators, a port-Hamiltonian representation of the multi-machine system is obtained. Moreover, it is shown that the open-loop system is passive with respect to its steady states which implies that passive controllers can be used to control the multi-machine network. As a special case, a distributed consensus based controller is designed that regulates the frequency and minimizes a global quadratic generation cost in the presence of a constant unknown demand. In addition, the proposed controller allows freedom in choosing any desired connected undirected weighted communication graph.

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Tjerk Stegink, Claudio De Persis, Arjan van der Schaft. 2016-03-22. Optimal power dispatch in networks of high-dimensional models of synchronous machines. https://arxiv.org/abs/1603.06688

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