A fuzzy linear programming approach to the load shedding and generation reallocation problem

Abstract

In this article, an effective method to control a power system during emergency conditions is presented. Based on Fuzzy Linear Programming (FLP), a new technique is developed to solve the Load Shedding and Generation Reallocation (LSGR) optimization problem. The objective function consists of terms of load curtailments and deviations in generation schedules. The constraints are power system variables limitations. The objective function and constraints coefficients are uncertain, which are represented by fuzzy numbers. Thus a fuzzy environment is prepared and a FLP approach is developed to solve more realistically and successfully the LSGR optimization problem. The method is successfully applied on a test system, where the load curtailments and deviations from the nominal states are to be minimized. The results of various cases of fuzzy and crisp modes of the problem are demonstrated. © 1998, IOS Press.