{
  "id": "1710.10544",
  "version": "v1",
  "published": "2017-10-29T00:49:43.000Z",
  "updated": "2017-10-29T00:49:43.000Z",
  "title": "Hierarchical and Distributed Monitoring of Voltage Stability in Distribution Networks",
  "authors": [
    "Liviu Aolaritei",
    "Saverio Bolognani",
    "Florian Dörfler"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We consider the problem of quantifying and assessing the steady-state voltage stability in radial distribution networks. Our approach to the voltage stability problem is based on a local, approximate, and yet highly accurate characterization of the determinant of the Jacobian of the power flow equations parametrized according to the branch-flow model. The proposed determinant approximation allows us to construct a voltage stability index that can be computed in a fully distributed or in a hierarchical fashion, resulting in a scalable approach to the assessment of steady-state voltage stability. Finally, we provide upper bounds for the approximation error and we numerically validate the quality and the robustness of the proposed approximation with the IEEE 123-bus test feeder.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-29T00:49:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "steady-state voltage stability",
      "distributed monitoring",
      "power flow equations",
      "hierarchical",
      "voltage stability index"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}