{
  "id": "1806.09408",
  "version": "v1",
  "published": "2018-06-25T12:16:00.000Z",
  "updated": "2018-06-25T12:16:00.000Z",
  "title": "Transmission-Constrained Unit Commitment",
  "authors": [
    "Claudio Gambella",
    "Jakub Marecek",
    "Martin Mevissen",
    "Jose Maria Fernandez Ortega",
    "Sara Pezic Djukic",
    "Mustafa Pezic"
  ],
  "categories": [
    "math.OC",
    "cs.SY"
  ],
  "abstract": "The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. We present an approach based on decomposition of a Mixed-Integer Semidefinite Programming (MISDP) problem into a mixed-integer quadratic (MIQP) master problem and a semidefinite programming (SDP) sub-problem. Between the master problem and the sub-problem, we pass novel classes of cuts. We analyse finite convergence to the optimum of the MISDP and report promising computational results on a test case from the Canary Islands, Spain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-25T12:16:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transmission-constrained unit commitment",
      "challenging mixed-integer non-linear optimisation problem",
      "master problem",
      "pass novel classes",
      "analyse finite convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}