### 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 language | English (US) |
---|---|

Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |

Pages | 114-119 |

Number of pages | 6 |

Volume | 1 |

Edition | PART 1 |

DOIs | |

State | Published - 2009 |

Externally published | Yes |

Event | 1st IFAC Workshop on Estimation and Control of Networked Systems, NecSys'09 - Venice, Italy Duration: Sep 24 2009 → Sep 26 2009 |

### Other

Other | 1st IFAC Workshop on Estimation and Control of Networked Systems, NecSys'09 |
---|---|

Country | Italy |

City | Venice |

Period | 9/24/09 → 9/26/09 |

### Fingerprint

### Keywords

- Graph models for networks
- Power grid topology

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*IFAC Proceedings Volumes (IFAC-PapersOnline)*(PART 1 ed., Vol. 1, pp. 114-119) https://doi.org/10.3182/20090924-3-IT-4005.0011

**On modeling random topology power grids for testing decentralized network control strategies.** / Wang, Zhifang; Scaglione, Anna; Thomas, Robert J.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IFAC Proceedings Volumes (IFAC-PapersOnline).*PART 1 edn, vol. 1, pp. 114-119, 1st IFAC Workshop on Estimation and Control of Networked Systems, NecSys'09, Venice, Italy, 9/24/09. https://doi.org/10.3182/20090924-3-IT-4005.0011

}

TY - GEN

T1 - On modeling random topology power grids for testing decentralized network control strategies

AU - Wang, Zhifang

AU - Scaglione, Anna

AU - Thomas, Robert J.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Graph models for networks

KW - Power grid topology

UR - http://www.scopus.com/inward/record.url?scp=79960936357&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960936357&partnerID=8YFLogxK

U2 - 10.3182/20090924-3-IT-4005.0011

DO - 10.3182/20090924-3-IT-4005.0011

M3 - Conference contribution

AN - SCOPUS:79960936357

SN - 9783902661524

VL - 1

SP - 114

EP - 119

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -