Environmental Economic Hydrothermal System Dispatch by Using a Novel Differential Evolution
Keywords:available water constraints, emission function, fuel cost function, modified mutation, modified selection, nonconvex objective.
AbstractThis paper proposes the Novel Differential Evolution (NDE) method for solving the environmental economic hydrothermal system dispatch (EEHTSD) problem with the aim to reduce electricity generation fuel costs and emissions of thermal units. The EEHTSD problem is constrained by limitations on generations, active power balance, and amount of available water. NDE applies two modified techniques. The first one is modified mutation, which is used to balance global and local search. The second one is modified selection, which is used to keep the best solutions. When performing this modified selection, the proposed method completely reduces the impact of crossover by setting it to one. Moreover, the task of tuning this factor can be canceled. Original Differential Evolution (ODE), ODE with the first modification (MMDE), and ODE with the second modification (MSDE), and NDE were tested on two different hydrothermal systems for comparison and evaluation purposes. The performance of NDE was also compared to existing methods. It was indicated that the proposed NDE is a very promising method for solving the EEHTSD problem.
El-Hawary, M.E. & Landrigan, J.K., Optimum Operation of Fixed-head Hydro-thermal Electric Power Systems: Powell's Hybrid Method Versus Newton-Raphson Method, IEEE Transactions on Power Apparatus and Systems PAS, 101(3), pp. 547-554, 1982.
Wood, A.J. & Wollenberg, B.F., Power Generation Operation and Control, ed. 2, John Wiley & Sons, Inc., New York, 1996.
Basu, M., A Simulated Annealing-based Goal-Attainment Method for Economic Emission Load Dispatch of Fixed Head Hydrothermal Power Systems, Electr Power and Ener Syst, 27(2), pp. 147-153, 2005.
Sasikala, J. & Ramaswamy, M., PSO based Economic Emission Dispatch for Fixed Head Hydrothermal Systems, Electr. Eng., 94(4), pp. 233-239, 2012.
Basu, M., Economic Environmental Dispatch of Fixed Head Hydrothermal Power Systems using Nondominated Sorting Genetic Algorithm-II, Applied Soft Computing, 11(3), pp. 3046-3055, 2011.
Chiang, C.L., Optimal Economic Emission Dispatch of Hydrothermal Power Systems, Electr. Power and Ener Syst, 29(6), pp. 462-469, 2007.
Narang, N., Dhillon, J.S. & Kothari, D.P., Multiobjective Fixed Head Hydrothermal Scheduling using Integrated Predator-prey Optimization and Powell Search Method, Energy 47(1), pp. 237-252, 2012.
Li, Y., He, H., Wang, Y., Xu, X. & Jiao, L., Improved Multiobjective Estimation of Distribution Algorithm for Environmental Economic Dispatch of Hydrothermal Power Systems, Applied Soft Computing, 28, pp. 559-568, 2015.
Nguyen, T.T., Vo, D.N., Truong, A.V. & Ho, L.D., An Efficient Cuckoo-inspired Meta-heuristic Algorithm for Multiobjective Short-term Hydrothermal Scheduling, Advances in Electrical and Electronic Engineering, 14(1), pp. 18-28, 2016.
Haghrah, A., Mohammadi-ivatloo, B. & Seyedmonir, S., Real Coded Genetic Algorithm Approach with Random Transfer Vectors-based Mutation for Short-term Hydro-thermal Scheduling, IET Generation, Transmission & Distribution, 9(1), pp. 75-89, 2014.
Nazari-Heris, M., Mohammadi-Ivatloo, B. & Haghrah, A., Optimal Short-term Generation Scheduling of Hydrothermal Systems by Implementation of Real-coded Genetic Algorithm based on Improved M1/4hlenbein Mutation, Energy, 128, pp. 77-85, 2017.
Feng, Z.K., Niu, W.J., Zhou, J.Z., Cheng, C.T., Qin, H. & Jiang, Z.Q., Parallel Multi-Objective Genetic Algorithm for Short-Term Economic Environmental Hydrothermal Scheduling, Energies, 10(2), pp. 163, 2017.
Rasoulzadeh-akhijahani, A. & Mohammadi-ivatloo, B., Short-term Hydrothermal Generation Scheduling By A Modified Dynamic Neighborhood Learning based Particle Swarm Optimization, Int. J. of Electrical Power & Energy Systems, 67, pp. 350-367, 2015.
Feng, Z.K., Niu, W.J. & Cheng, C.T., Multi-objective Quantum-behaved Particle Swarm Optimization for Economic Environmental Hydrothermal Energy System Scheduling, Energy, 131, pp. 165-178, 2017.
Yuan, X., Tian, H., Yuan, Y. & Zhang, X., Multi-objective Artificial Physical Optimization Algorithm for Daily Economic Environmental Dispatch of Hydrothermal Systems, Electric Power Components and Systems, 44(5), pp. 533-543, 2016.
Hoseynpour, O., Mohammadi-ivatloo, B., Nazari-Heris, M. & Asadi, S., Application of Dynamic Non-Linear Programming Technique to Non-Convex Short-Term Hydrothermal Scheduling Problem, Energies, 10(9), pp. 1440, 2017.
Storn, R. & Price, K., Differential Evolution-a Simple and Efficient Heuristic for Global Optimization over Continuous Spaces, Journal of global optimization, 11(4), pp. 341-359, 1997.
Nazari-Heris, M., Mohammadi-Ivatloo, B. & Gharehpetian, G.B., Short-term Scheduling of Hydro-based Power Plants Considering Application of Heuristic Algorithms: A Comprehensive Review, Renewable and Sustainable Energy Reviews, 74, pp. 116-129, 2017.
Ho-Huu, V., Nguyen-Thoi, T., Nguyen-Thoi, M.H. & Le-Anh, L., An Improved Constrained Differential Evolution using Discrete Variables (D-ICDE) for Layout Optimization of Truss Structures, Expert Systems with Applications, 42(20), pp. 7057-7069, 2015.
Kamboj, V.K., Bath, S.K. & Dhillon, J.S., Multiobjective Multiarea Unit Commitment using Hybrid Differential Evolution Algorithm Considering Import/Export and Tie-line Constraints, Neural Computing and Applications, 28(11), pp. 3521-3536, 2017.
Qin, A.K., Huang, V.L. & Suganthan, P.N., Differential Evolution Algorithm with Strategy Adaptation for Global Numerical Optimization, IEEE Transactions on Evolutionary Computation, 13(2), pp. 398-417, 2009.
Padhye, N., Bhardawaj, P. & Deb, K., Improving Differential Evolution through a Unified Approach, Journal of Global Optimization, 55(4), pp. 771-799, 2013.
Prado, R.S., Silva, R.C.P., Neto, O.M., Guimares, F.G., Sanches, D.S., London Jr, J.B.A. & Delbem, A.C., Differential Evolution using Ancestor Tree for Service Restoration in Power Distribution Systems, Applied Soft Computing, 23, pp. 498-508, 2014.
Ho-Huu, V., Nguyen-Thoi, T., Vo-Duy, T. & Nguyen-Trang, T., An Adaptive Elitist Differential Evolution for Optimization of Truss Structures with Discrete Design Variables, Computers and Structures, 165, pp. 59-75, 2016.
Ishaque, K., Salam, Z., Mekhilef, S. & Shamsudin, A., Parameter Extraction of Solar Photovoltaic Modules using Penalty-based Differential Evolution, Appl. Energy, 99, pp. 297-308, 2012.
GlotiA, A. & Zamuda, A., Short-term Combined Economic and Emission Hydrothermal Optimization by Surrogate Differential Evolution, Applied Energy, 141, pp. 42-56, 2015.
Dhillon, J.S., Parti, S.C. & Kothari, D.P., Fuzzy Decision Making in Multiobjective Longterm Scheduling of Hydrothermal System, Int. J. Electrical Power Energy Syst, 23(1), pp. 19-29, 2001.