Multi-Objective Optimal Power Flow Considering Environmental Factor and Voltage Stability
Qiu Wei, Zhang Jianhua, Liu Nian
State Key Laboratory of Alternate Electrical Power System With Renewable Energy Sources Ministry of Education, North China Electric Power University Beijing 102206 China
Abstract：A mathematical model for multi-objective optimal power flow considering environmental factor and voltage stability is formulated. Minimizing the fuel cost, emission of atmospheric pollutants and maximizing the static voltage stability margin are considered as objective functions. Since undesirable protective relay operation plays a major role in voltage collapse, operation margin of zone 3 impedance relay constraint is included in the model. A novel two-stage approach incorporating multi-objective optimization and decision support is designed to solve the problem. At the first stage, a self-adaptive multi-objective differential evolution algorithm is proposed to obtain the Pareto front. At the second stage, fuzzy C-means algorithm is applied first to classify the Pareto optimal solutions into several clusters with similar properties. Then, within each cluster, the super-efficiency data envelopment analysis is performed, by comparing the relative efficiency of those solutions, to help the decision makers to extract the effective compromise solutions. The numerical results on IEEE 118-bus system demonstrate the reasonableness of the proposed model and effectiveness of the developed approach.
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2012, Vol. 27 
