Coordenação Ótima de Relés de Sobrecorrente Utilizando Programação Linear Inteira Mista (Optimal Coordination of Overcurrent Relays Using Mixed Integer Linear Programming)

Alexandre Akira Kida (, Luis Alfonso Gallego Pareja (

1Universidade Estadual de Londrina

This paper appears in: Revista IEEE América Latina

Publication Date: March 2016
Volume: 14,   Issue: 3 
ISSN: 1548-0992

In distribution systems, the coordination and selectivity of protections are essential for improving reliability and security indicators. In these systems, the overcurrent relays are widely used. During a fault, the heat dissipation is high. Therefore, it is important that the relays act quickly. The problem of coordination is linear, since their pickup currents are known. In this paper, a methodology for an optimal coordination of non-directional overcurrent relays, in radial systems using MILP (Mixed-Integer Linear Programming) is proposed. Its main objective is getting the TDSs (Time Dial Setting) to minimize the operating times of relays, keeping the selectivity. Discrete values of TDS were considered. Thus, the problem becomes discrete and can be solved through MILP. For each relay were considered a range of possible fault currents levels. The proposed methodology was applied successfully in a radial test-system containing five relays.

Index Terms:
mixed-integer linear programming, feeder protection, overcurrent relay coordination   

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