Evaluating robustness of power systems based on their topological structure using maximum-flow algorithm

Yi Cheng Zhou; Jin Hua She; Chen Hua Xu; Ryuichi Yokoyama

doi:10.1109/APPEEC.2009.4918341

Evaluating robustness of power systems based on their topological structure using maximum-flow algorithm

Yi Cheng Zhou, Jin Hua She, Chen Hua Xu, Ryuichi Yokoyama

Waseda University

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

Abstract

To characterize the topological structure of a power system, we first define a dual system for the original one to handle the case where a transmission line is inoperative. Then, we introduce four new indices for a transmission line: dual power supply capacity, capacity balance ratio, dual load limit, and dual overload ratio. We use the maximum-flow algorithm of graph theory along with the indices to analyze the robustness of a power system. Unlike existing methods, this one is very simple; and there is no need to calculate the state of the system repetitively. Finally, the validity of the method is demonstrated using a power system with 18 nodes and 20 branches.

Original language	English
Title of host publication	Asia-Pacific Power and Energy Engineering Conference, APPEEC
DOIs	https://doi.org/10.1109/APPEEC.2009.4918341
Publication status	Published - 2009
Event	2009 Asia-Pacific Power and Energy Engineering Conference, APPEEC 2009 - Wuhan Duration: 2009 Mar 27 → 2009 Mar 31

Other

Other	2009 Asia-Pacific Power and Energy Engineering Conference, APPEEC 2009
City	Wuhan
Period	09/3/27 → 09/3/31

ASJC Scopus subject areas

Energy Engineering and Power Technology

Access to Document

10.1109/APPEEC.2009.4918341

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Zhou, Y. C., She, J. H., Xu, C. H., & Yokoyama, R. (2009). Evaluating robustness of power systems based on their topological structure using maximum-flow algorithm. In Asia-Pacific Power and Energy Engineering Conference, APPEEC [4918341] https://doi.org/10.1109/APPEEC.2009.4918341

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abstract = "To characterize the topological structure of a power system, we first define a dual system for the original one to handle the case where a transmission line is inoperative. Then, we introduce four new indices for a transmission line: dual power supply capacity, capacity balance ratio, dual load limit, and dual overload ratio. We use the maximum-flow algorithm of graph theory along with the indices to analyze the robustness of a power system. Unlike existing methods, this one is very simple; and there is no need to calculate the state of the system repetitively. Finally, the validity of the method is demonstrated using a power system with 18 nodes and 20 branches.",

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AB - To characterize the topological structure of a power system, we first define a dual system for the original one to handle the case where a transmission line is inoperative. Then, we introduce four new indices for a transmission line: dual power supply capacity, capacity balance ratio, dual load limit, and dual overload ratio. We use the maximum-flow algorithm of graph theory along with the indices to analyze the robustness of a power system. Unlike existing methods, this one is very simple; and there is no need to calculate the state of the system repetitively. Finally, the validity of the method is demonstrated using a power system with 18 nodes and 20 branches.

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