Optimal power flow with fuzzy emissions constraints

ABSTRACT Curtailing S02 emissions and minimizing production cost are two conflicting objectives that have to be reconciled while using an Optimal Power Flow (OPF) to dispatch generating units on a short-term (hourly/half-hourly) basis. In this paper, we present a fuzzy logic model for such an emissions constrained OPF. First, we define fuzzy membership functions for measuring the degree of satisfaction with each objective. Then, we use the max-min criterion to convert the fuzzy multi-objective formulation to a “crisp” model that can be solved using traditional OPF techniques. We illustrate, using the IEEE 14-bus system, how the proposed approach facilitates the arbitration of these conflicting objectives. The resulting Pareto curve can be used by the system operator to pick a suitable tradeoff point.