Dual feasible direction-finding nonlinear programming combined with metaheuristic approaches for exact overcurrent relay coordination

A. Darabi, M. Bagheri, G. B. Gharehpetian

Research output: Contribution to journalArticle

1 Citation (Scopus)


In the present paper, dual usable feasible direction-finding nonlinear programming associated with metaheuristic approaches is applied to directional overcurrent relay coordination. Rosen's gradient projection and Zoutendijk's method are selected as nonlinear programming techniques, and the electro-search algorithm combined with Cuckoo optimization are chosen as the metaheuristic part. These algorithms are combined in a suitable manner based on their capabilities. First, all miscoordinations are removed by combining the metaheuristic part with a proposed simple manual manner. After eliminating all violations, the metaheuristic part is cooperated by Rosen's gradient projection technique. This loop is repeated until no change can be observed for a predefined number of iterations. Then, Zoutendijk's method is applied to the results obtained by the previous algorithms. The proposed method is tested on both 8- and 30-bus test systems. Then, it is shown that the total primary operating times obtained, even for non-communication coordination scheme using relays with normally inverse characteristics, are considerably lower than those obtained by dual setting approaches.

Original languageEnglish
Article number105420
JournalInternational Journal of Electrical Power and Energy Systems
Publication statusPublished - Jan 1 2020



  • Directional overcurrent relay (DOCR)
  • Metaheuristic optimization
  • Nonlinear programming (NLP)
  • Overcurrent protection

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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