Title: Refined augmented Lagrange Hopfield network-based Lagrange relaxation for hydrothermal scheduling
Authors: Dieu Ngoc Vo; Weerakorn Ongsakul
Department of Power Systems, Faculty of Electrical and Electronic Engineering, Ho Chi Minh City University of Technology, VNU-HCMC, 268 Ly Thuong Kiet Str., 10th Dist., Ho Chi Minh City, Vietnam
Energy Field of Study, School of Environment, Resources and Development, Asian Institute of Technology, P.O. Box 4, Klongluang, Pathumthani 12120, Thailand
Abstract: This paper proposes a refined augmented Lagrange Hopfield network-based Lagrange relaxation (ALHN-LR) for solving short term hydrothermal scheduling (HTS) problem with pumped-storage hydro units. ALHN-LR consists of improved Lagrange relaxation (ILR) and augmented Lagrange Hopfield network (ALHN). For solving the HTS problem, the proposed method applies enhanced ILR for finding thermal unit scheduling, ALHN for solving constrained economic dispatch (CED), and heuristic search-based algorithms in earlier papers for committing hydro and pumped-storage units, repairing ramp rate, emission, and transmission constraint violations, and refining the obtained result. The proposed ALHN which is a continuous Hopfield network with its energy function based on augmented Lagrangian function can properly handle both equality and inequality constraints in CED problem. The proposed ALHN-LR is tested on a hydrothermal system with 17 thermal, two hydro and two pumped-storage units, and the IEEE 24-bus reliability test system over the 168-hour schedule time horizon. Test results indicate that the proposed method can obtain less total costs than those from augmented Hopfield network (AHN), hybrid enhanced Lagrangian relaxation and quadratic programming (hybrid LRQP), and augmented Lagrangian relaxation (ALR).
Keywords: augmented Lagrange Hopfield network; ALHN; neural networks; heuristic search; hydrothermal scheduling; HTS; fuel constraints; pumped storage; improved Lagrange relaxation; ILR; constrained economic dispatch; CED.
Int. J. of Energy Technology and Policy, 2013 Vol.9, No.3/4, pp.258 - 278
Date of acceptance: 01 Sep 2013
Available online: 26 Mar 2014