Detours around basin stability in power networks

Paul Schultz, Jobst Heitzig, Jurgen Kurths

Research output: Contribution to journalArticle

38 Citations (Scopus)
4 Downloads (Pure)

Abstract

To analyse the relationship between stability against large perturbations and topological properties of a power transmission grid, we employ a statistical analysis of a large ensemble of synthetic power grids, looking for significant statistical relationships between the single-node basin stability measure and classical as well as tailormade weighted network characteristics. This method enables us to predict poor values of single-node basin stability for a large extent of the nodes, offering a node-wise stability estimation at low computational cost. Further, we analyse the particular function of certain network motifs to promote or degrade the stability of the system. Here we uncover the impact of so-called detour motifs on the appearance of nodes with a poor stability score and discuss the implications for power grid design.
Original languageEnglish
Article number125001
JournalNew Journal of Physics
Volume16
DOIs
Publication statusPublished - 2 Dec 2014

Fingerprint

grids
power transmission
statistical analysis
costs
perturbation

Cite this

Detours around basin stability in power networks. / Schultz, Paul; Heitzig, Jobst; Kurths, Jurgen.

In: New Journal of Physics, Vol. 16, 125001, 02.12.2014.

Research output: Contribution to journalArticle

Schultz, Paul ; Heitzig, Jobst ; Kurths, Jurgen. / Detours around basin stability in power networks. In: New Journal of Physics. 2014 ; Vol. 16.
@article{1f077a5ddbbb46dba8c84f997f4856cd,
title = "Detours around basin stability in power networks",
abstract = "To analyse the relationship between stability against large perturbations and topological properties of a power transmission grid, we employ a statistical analysis of a large ensemble of synthetic power grids, looking for significant statistical relationships between the single-node basin stability measure and classical as well as tailormade weighted network characteristics. This method enables us to predict poor values of single-node basin stability for a large extent of the nodes, offering a node-wise stability estimation at low computational cost. Further, we analyse the particular function of certain network motifs to promote or degrade the stability of the system. Here we uncover the impact of so-called detour motifs on the appearance of nodes with a poor stability score and discuss the implications for power grid design.",
author = "Paul Schultz and Jobst Heitzig and Jurgen Kurths",
note = "Date of Acceptance: 27/10/2014 This work was partially supported by the CoNDyNet project which is funded by the German Federal Ministry of Education and Research.",
year = "2014",
month = "12",
day = "2",
doi = "10.1088/1367-2630/16/12/125001",
language = "English",
volume = "16",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Detours around basin stability in power networks

AU - Schultz, Paul

AU - Heitzig, Jobst

AU - Kurths, Jurgen

N1 - Date of Acceptance: 27/10/2014 This work was partially supported by the CoNDyNet project which is funded by the German Federal Ministry of Education and Research.

PY - 2014/12/2

Y1 - 2014/12/2

N2 - To analyse the relationship between stability against large perturbations and topological properties of a power transmission grid, we employ a statistical analysis of a large ensemble of synthetic power grids, looking for significant statistical relationships between the single-node basin stability measure and classical as well as tailormade weighted network characteristics. This method enables us to predict poor values of single-node basin stability for a large extent of the nodes, offering a node-wise stability estimation at low computational cost. Further, we analyse the particular function of certain network motifs to promote or degrade the stability of the system. Here we uncover the impact of so-called detour motifs on the appearance of nodes with a poor stability score and discuss the implications for power grid design.

AB - To analyse the relationship between stability against large perturbations and topological properties of a power transmission grid, we employ a statistical analysis of a large ensemble of synthetic power grids, looking for significant statistical relationships between the single-node basin stability measure and classical as well as tailormade weighted network characteristics. This method enables us to predict poor values of single-node basin stability for a large extent of the nodes, offering a node-wise stability estimation at low computational cost. Further, we analyse the particular function of certain network motifs to promote or degrade the stability of the system. Here we uncover the impact of so-called detour motifs on the appearance of nodes with a poor stability score and discuss the implications for power grid design.

U2 - 10.1088/1367-2630/16/12/125001

DO - 10.1088/1367-2630/16/12/125001

M3 - Article

VL - 16

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 125001

ER -