{
  "id": "1603.06688",
  "version": "v1",
  "published": "2016-03-22T07:11:08.000Z",
  "updated": "2016-03-22T07:11:08.000Z",
  "title": "Optimal power dispatch in networks of high-dimensional models of synchronous machines",
  "authors": [
    "Tjerk Stegink",
    "Claudio De Persis",
    "Arjan van der Schaft"
  ],
  "comment": "7 pages, submitted to Conference on Decision and Control 2016",
  "categories": [
    "math.OC",
    "cs.SY"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-22T07:11:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal power dispatch",
      "synchronous machine",
      "high-dimensional models",
      "undirected weighted communication graph",
      "connected undirected weighted communication"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160306688S"
    }
  }
}