Existing maximum flow algorithms use one processor for all calculations or one processor per vertex in a graph to calculate the maximum possible flow through a graph's vertices. This is not suitable for practical implementation. We extend the max-flow work of Goldberg and Tarjan to a distributed algorithm to calculate maximum flow where the number of processors is less than the number of vertices in a graph. Our algorithm is applied to maximizing electrical flow within a power network where the power grid is modeled as a graph. Error detection measures are included to detect problems in a simulated power network. We show that our algorithm is successful in executing quickly enough to prevent catastrophic power outages.
B. M. McMillin et al., "Power Transmission Control using Distributed Max-Flow," Proceedings of the 29th Annual International Computer Software and Applications Conference (2005, Edinburgh, UK), vol. 2, pp. 256 - 263, Institute of Electrical and Electronics Engineers (IEEE), Jul 2005.
The definitive version is available at https://doi.org/10.1109/COMPSAC.2005.121
29th Annual International Computer Software and Applications Conference (2005: Jul. 28, Edinburgh, UK)
Electrical and Computer Engineering
Keywords and Phrases
FT Algorithms; FT Communication; FT Algorithms; FT Communication; Fault Injection; Distributed Algorithm; Distributed Algorithms; Distributed Max-Flow; Electrical Flow Maximization; Error Detection; Fault Injection; Graph Theory; Graph Vertex; Maximum Flow; Maximum Flow Algorithm; Optimisation; Power Grid Model; Power Network; Power Outage; Power System; Power Transmission Control
International Standard Serial Number (ISSN)
Article - Conference proceedings
© 2005 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Jul 2005