An Improved Artificial Bee Colony Algorithm and Its Application to Multi-Objective Optimal Power Flow

• Published in: Energies (Basel) 2015, Vol.8 (4), p.2412-2437
• Main Authors: He, Xuanhu, Wang, Wei, Jiang, Jiuchun, Xu, Lijie
• Format: Article
• Language: English
• Subjects: Algorithms; artificial bee colony algorithm; Costs; Crossovers; differential evolution algorithm; Fuzzy; Fuzzy logic; fuzzy satisfaction-maximizing method; Fuzzy set theory; Heuristic; Linear programming; Mathematical models; Minimization; Mutation; optimal power flow; Optimization; Optimization algorithms; tent chaos mapping; Test systems
• ISSN: 1996-1073; 1996-1073
• DOI: 10.3390/en8042412

Optimal power flow (OPF) objective functions involve minimization of the total fuel costs of generating units, minimization of atmospheric pollutant emissions, minimization of active power losses and minimization of voltage deviations. In this paper, a fuzzy multi-objective OPF model is established by the fuzzy membership functions and the fuzzy satisfaction-maximizing method. The improved artificial bee colony (IABC) algorithm is applied to solve the model. In the IABC algorithm, the mutation and crossover operations of a differential evolution algorithm are utilized to generate new solutions to improve exploitation capacity; tent chaos mapping is utilized to generate initial swarms, reference mutation solutions and the reference dimensions of crossover operations to improve swarm diversity. The proposed method is applied to multi-objective OPF problems in IEEE 30-bus, IEEE 57-bus and IEEE 300-bus test systems. The results are compared with those obtained by other algorithms, which demonstrates the effectiveness and superiority of the IABC algorithm, and how the optimal scheme obtained by the proposed model can make systems more economical and stable.