An Investigation Study on Fuzzy Line Flow Limit Constraints in Competitive Electricity Markets

Abstract

In this paper, the fuzzy set theory is applied to model the soft constraint limits. The fuzzy constrained optimal dispatch is formulated as a fuzzy optimization problem and converted into a crisp optimization problem. An efficient successive linear programming method is then modified to solve the new problem. Numerical test results on IEEE 30-bus system show that the fuzzy constrained method could give a good trade-off between reducing generation cost and satisfying constraints, and produce more realistic generation schedules when a feasible solution cannot be obtained by using the crisp OPF.