“…Overcurrent relays (OCRs) and fuses are the most economical and widely used protective devices in distribution systems. [1][2][3] OCRs are sequentially placed as main-backup pairs (MBPs) to protect the system against probable overcurrents. It is preferable to increase the sensitivity of OCRs without missing their selectivity for reducing the ; S f , safety factor for compensation of the measurement errors; S L f , safety factor for backup TCCs; S R f , safety factor for main TCCs; TCC L (I), lowered TCC of backup OCRs; TCC R (I), raised TCC of main OCPDs; TSM Temp , natural-valued variable for determination of the actual TSM; X m , thermal increment of OCRs; Z, objective function of the optimization problem Abbreviations: DG, distributed generation; DT, discrimination time; FCL, fault current limiter; FPA, flower pollination algorithm; GA, genetic algorithm; IM, induction motor; MBP, main-backup pair; MMT, minimum melting time; MPSO, modified particle swarm optimization; OCR, overcurrent relay; OCPD, overcurrent protection device; TCC, time-current curve; TD, time dial; TCT, total clearing time; TSM, time-setting multiplier negative effects of overcurrents.…”