Methodology to assess performance indexes for sensitivity, selectivity, and speed of coordination of directional overcurrent protections Articles uri icon

publication date

  • September 2022


  • 213

International Standard Serial Number (ISSN)

  • 0378-7796

Electronic International Standard Serial Number (EISSN)

  • 1873-2046


  • Many algorithms for the coordination of directional overcurrent protections (DOCP) have been proposed in literature claiming that optimal solutions are reached, even though there are different reported solutions for the same problem. A new method to evaluate the quality of solutions for the coordination of DOCP is proposed. Three indexes are defined for selectivity, sensitivity, and speed, as desirable features of the coordination of protections. The use of performance indexes to evaluate the response of DOCP systems has not been previously considered in the literature. Given time dial and pick-up settings provided by any program or algorithm, uniformly distributed fault locations are simulated in each transmission line in order to determine the operation times as well as the separation times between main and backup relays. For each fault, the trip sequence of each relay pair is identified and classified according to 15 possible outcomes. To illustrate the method, indexes were computed from seven different coordination solutions reported in literature over the same test system. Results show interesting trade-offs among the three indexes, suitable to be presented as three independent axes; consequently, a given solution could be better in one feature (e.g., speed) but worse in others (e.g., selectivity and/or sensitivity).


  • performance indexes; evaluation of coordination of protections; directional overcurrent relays; multiples objectives in coordination of protections