Zero-one Integer Programming Approach to Determine the Minimum Break Point Set in Multi-loop and Parallel Networks

- Journal title : Journal of Electrical Engineering and Technology
- Volume 7, Issue 2, 2012, pp.151-156
- Publisher : The Korean Institute of Electrical Engineers
- DOI : 10.5370/JEET.2012.7.2.151

Title & Authors

Zero-one Integer Programming Approach to Determine the Minimum Break Point Set in Multi-loop and Parallel Networks

Moirangthem, Joymala; Dash, Subhransu Sekhar; Ramaswami, Ramas;

Moirangthem, Joymala; Dash, Subhransu Sekhar; Ramaswami, Ramas;

Abstract

The current study presents a zero-one integer programming approach to determine the minimum break point set for the coordination of directional relays. First, the network is reduced if there are any parallel lines or three-end nodes. Second, all the directed loops are enumerated to reduce the iteration. Finally, the problem is formulated as a set-covering problem, and the break point set is determined using the zero-one integer programming technique. Arbitrary starting relay locations and the arbitrary consideration of relay sequence to set and coordinate relays result in navigating the loops many times and futile attempts to achieve system-wide relay coordination. These algorithms are compared with the existing methods, and the results are presented. The problem is formulated as a setcovering problem solved by the zero-one integer programming approach using LINGO 12, an optimization modeling software.

Keywords

Minimum Break Point Set (MBPS);Looped system;Relay coordination;Relay settings;0-1 integer programming;N-P complete problem;

Language

English

Cited by

1.

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