application of fuzzy linear programming in optimal load shedding and generation reallocation problem

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, thus it is more appropriate to use fuzzy linear programming. considering the network frequency as an essential variable, and using the electrical load model, a fuzzy environment is prepared to solve more realistically and successfully the lsgr optimization problem. the results of various cases of fuzzy and crisp modes of the problem are demonstrated. it will be observed that the application of the flp on one hand, will provide a more realistic model of power systems, and on the other hand, will cause a reduction in the values of the objective function.