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Adaptive PSODV algorithm for OPF with non-smooth cost functions and statistical analysis
Authors:K Vaisakh  LR Srinivas
Affiliation:1. Department of Electrical Engineering, AU College of Engineering, Andhra University, Visakhapatnam 530 003, AP, India;2. Department of Electrical and Electronics Engineering, S.R.K.R. Engineering College, Bhimavaram 534 204, AP, India;1. Faculty of Civil Engineering, Institute of Research and Development, Duy Tan University, P809K7/25 Quang Trung, Danang, Viet Nam;2. Dept. of Civil and Construction Engineering, National Taiwan University of Science and Technology, No. 43, Sec. 4, Keelung Rd., Da’an Dist., Taipei 106, Taiwan;3. Department of Bioenvironmental Systems Engineering, National Taiwan University, No.1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan;1. Department of Civil Engineering, National Chiao Tung University, Taiwan;2. Taiwan Area National Expressway Engineering Bureau, Ministry of Transportation and Communications, Taiwan;1. Department of Mathematics, University of Gour Banga, Malda 732 103, India;2. Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India;3. Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa;1. Water Eng. Dept., Faculty of Engineering, Zagazig University, Zagazig, Egypt;2. Higher Technological Institute, 10th of Ramadan City, Egypt;3. Hydraulic Research Institute, Egypt
Abstract:This paper presents a particle swarm optimization with differentially perturbed velocity hybrid algorithm with adaptive acceleration coefficient (APSO-DV) for solving the optimal power flow problem with non-smooth and non-convex generator fuel cost characteristics. The APSO-DV employs differentially perturbed velocity with adaptive acceleration coefficient for updating the positions of particles for the particle swarm optimization. The feasibility of the proposed approach was tested on IEEE 30-bus and IEEE 118-bus systems with three different objective functions. Several cases were investigated to test and validate the robustness of the proposed method in finding the optimal solution. The effectiveness of the proposed approach was tested including contingency also. Simulation results demonstrate that the APSO-DV provides superior results compared to classical DE, PSO, PSO-DV and other methods recently reported in the literature. An innovative statistical analysis based on central tendency measures and dispersion measures was carried out on the bus voltage profiles and voltage stability indices.
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