On modeling random topology power grids for testing decentralized network control strategies

Zhifang Wang, Anna Scaglione, Robert J. Thomas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

An electrical power grid is a critical infrastructure. Its reliable, robust, and efficient operationinevitably depends on underlying telecommunication networks. In order to design an efficient communication scheme and examine the efficiency of any networked control architecture, we need to characterize statistically its information source, namely the power grid itself. In this paper we studied both the topological and electrical characteristics of power grid networks based on a number of synthetic and real-world power systems. We made several interesting discoveries: the power grids are sparsely connected and the average nodal degree is very stable regardless of network size; the nodal degrees distribution has exponential tails, which can be approximated with a shifted Geometric distribution; the algebraic connectivity scales as a power function of network size with the power index lying between that of one-dimensional and two-dimensional lattice; the line impedance has a heavy-tailed distribution, which can be captured quite accurately by a Double Pareto LogNormal distribution. Based on the discoveries mentioned above, we propose an algorithm that generates random power grids featuring the same topology and electrical characteristics we found from the real data.

Original languageEnglish (US)
Title of host publication1st IFAC Workshop on Estimation and Control of Networked Systems, NecSys'09
Pages114-119
Number of pages6
EditionPART 1
DOIs
StatePublished - 2009
Externally publishedYes
Event1st IFAC Workshop on Estimation and Control of Networked Systems, NecSys'09 - Venice, Italy
Duration: Sep 24 2009Sep 26 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume1
ISSN (Print)1474-6670

Other

Other1st IFAC Workshop on Estimation and Control of Networked Systems, NecSys'09
Country/TerritoryItaly
CityVenice
Period9/24/099/26/09

Keywords

  • Graph models for networks
  • Power grid topology

ASJC Scopus subject areas

  • Control and Systems Engineering

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