{
  "id": "2007.03470",
  "version": "v1",
  "published": "2020-07-07T14:06:40.000Z",
  "updated": "2020-07-07T14:06:40.000Z",
  "title": "Convex Relaxation of AC Optimal Power Flow with Flexible Transmission Line Impedances",
  "authors": [
    "Yue Song",
    "David J. Hill",
    "Tao Liu",
    "Tianlun Chen"
  ],
  "comment": "4 pages, 2 figures",
  "categories": [
    "math.OC"
  ],
  "abstract": "Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification method for the AC optimal power flow with flexible line impedances. First, we discover that a line with flexible impedance is equivalent to a constant-impedance line with a correlated pair of tap-adjustable ideal transformers placed at its two terminals. Then, with this circuit equivalent, we reformulate the original optimization problem as a semi-definite program under the existing convex relaxation framework, which improves the solution tractability and optimality. The proposed method is verified by numerical tests on the IEEE 118-bus system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-07T14:06:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ac optimal power flow",
      "flexible transmission line impedances",
      "convex relaxation",
      "original optimization problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}