“…The NFC and NTC indicate the number of contingenies which cannot pass the corrective control feasibility check and the line thermal rating check. for each k ∈ [1, N K ] do 6: solve the subproblem 1 consisting of Equations (31)-(36); 7: if ∑ s i,k + r i,k = 0 then 8: generate the Benders cut by Equation (37) and return it into th master problem; 9: obtain the power flow distribution F k ; NFC = NFC + 1; for each k ∈ [1, N K ] do 14: for each line l operating in the contingency k do 15: calculate the Tc max l,kp and t equal l,kp by Equations (1)- (19) and (39), repsectively; 16: if Tc max l,kp > Tc l,Rate then 17: add line l into the set L k 18: end if 19: end for 20: if L k = φ then 21: NTC = NTC + 1; sumdTc = 0; 22: for each l ∈ L k do 23: sumdTc = sumdTc + (Tc max l,kp − Tc l,Rate ); 24: end for 25: for each i ∈ [1, N G ] do 26: sumpd i = 0; 27: for each l ∈ L k do 28: calculate the partial derivative…”