Load shedding model and algorithm based on minimizing power outage cost of multi-intervals

This paper presents a multi intervals optimal load shedding model and algorithm to minimize power outage cost during power shortage. The model belongs to optimal power flow model with the coupling effect of different intervals and the algorithm is an improved approximate programming method. Power flow solving, sensitive equation solving, restriction linearizing and active restriction identifying which are the major calculation can be executed at every single interval because there isn't coupling relationship in power flow equation and restriction of different intervals. Thus the approximate linear programming algorithm that includes the control variable of different intervals can be obtained and its results can be utilized to correct the control variable. The process is iterated until the operating point converges at the optimal solution. Active restriction identified by distance criterion can be advanced to active restriction identified by neighborhood arithmetic criterion, which has greatly enhanced the efficiency of linear programming. The proposed model and algorithm have been validated on the four intervals of IEEE 14-bus system.