Penyelesaian Masalah Economic Dispatch Menggunakan Equilibrium Optimizer

Osea Zebua(1), I Made Ginarsa(2), I Made Ari Nrartha(3),


(1) University of Lampung
(2) University of Mataram
(3) University of Mataram

Abstract

This paper presents a metaheuristic method, namely Equilibrium Optimizer (EO) to solve the economic dispatch (ED) problem. The main objective function to be achieved is to minimize the total fuel costs of all generating units to meet the total load demand and to satisfy various operating constraints. Three case studies are used to test the effectiveness of the EO method in solving ED problems, they are three generators case, six generators case, and fifteen generators case. The simulation of solving ED problems using the EO method is implemented using MATLAB software and is carried out 30 times for each case study. The results of EO method are compared with Particle Swarm Optimization (PSO), Grey Wolf Optimizer (GWO), and Whale Optimization Algorithm (WOA) methods. The simulation results show that the EO method can solve the ED problem more optimal than all other comparison methods for all the case studies by producing the minimum total fuel costs.

Keywords

economic dispatch; minimization; fuel cost function; equilibrium optimizer

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References

P. Shanshan, J. Jinbao, C. Huangyue, and Y. Linfeng, “A Full Mixed-integer Linear Programming Formulations for Economic Dispatch with Valve-point Effects, Transmission Loss and Prohibited Operating Zones,†Electric Power System Research, vol. 180, pp. 1-12, 2020.

M. Gholamghasemi, E. Akbari, M.B. Asadpoor, and M. Ghasemi, “A New Solution to the Non-convex Economic Load Dispatch Problems Using Phasor Particle Swarm Optimization,†Applied Soft Computing Journal, vol. 79, pp. 111-124, 2019.

S. M. A. Bulbul, M. Pradhan, P. K. Roy, and T. Pal, “Opposition-based Krill Herd Algorithm Applied to Economic Load Dispatch Problem,†Ain Shams Engineering Journal, vol. 9, no. 3 , pp. 423-440, 2018.

M. Basu, “Kinetic Gas Molecule Optimization for Nonconvex Economic Dispatch Problem,†International Journal of Electrical Power and Energy Systems, vol. 80, pp. 325-332, 2016.

X. Shen, G. Wu, R. Wang, H. Chen, H. Li, and J. Shi, “A Self-Adapted Across Neighborhood Search Algorithm With Variable Reduction Strategy for Solving Non-Convex Static and Dynamic Economic Dispatch Problems,†IEEE Access, vol. 6, pp. 41314-41324, 2018.

M. M. Delshad, S. H. A. Kaboli, E. T. Renani, and N. A. Rahim, “Backtracking Search Algorithm for Solving Economic Dispatch Problem with Valve-point Effects and Multiple Fuel Options,†Energy, vol. 116, pp. 637-649, 2016.

K. A. Alawode, A. M. Jubril, L. O. Kehinde, and P. O. Ogunbona, “Semidefinite Programming Solution of Economic Dispatch Problem with Non-Smooth, Non-Convex Cost Function,†Electric Power System Research, vol. 164, pp. 178-187, 2018.

D. Singh and J. S. Dhillon, “Ameliorated Grey Wolf Optimization for Economic Dispatch Problem,†Energy, vol. 169, pp. 398-419, 2019.

T. Jayabarathi, T. Raghunathan, B. R. Adarsh, and P. N. Suganthan, “Economic Dispatch Using Hybrid Grey Wolf Optimizer,†Energy, vol. 111, pp. 630–641, 2016.

Q. Zhang, D. Zhou, N. Duan, and X. Shen, “An Adaptive Differential Evolutionary Algorithm Incorporating Multiple Mutation Strategies for Economic Load Dispatch Problems,â€Applied Soft Computing Journal, vol. 78, pp. 641-669, 2019.

F. Mohammadi and H. Abdi, “A Modified Crow Search Algorithm (MCSA) for Solving Economic Load Dispatch Problem,†Applied Soft Computing, vol. 71, pp. 51-65, 2018.

D. C. Secui, “A Modified Symbiotic Organisms Search Algorithm for Large Scale Economic Dispatch Problem with Valve-point Effects,†Energy, vol. 113, pp. 366–384, 2016.

P. Zakian, and A. Kaveh, “Economic Dispatch of Power Systems Using an Adaptive Charged System Search Algorithm,†Applied Soft Computing, vol. 73, pp. 607–622, 2018.

V. K. Kamboj, A. Bhadoria, and S. K. Bath, “Solution of Non-convex Economic Load Dispatch Problem for Small-scale Power Systems Using Ant Lion Optimizer,†Neural Computing. Application, vol. 28, no. 8, pp. 2181–2192, 2017.

T. Sen and H. D. Mathur, “A New Approach to Solve Economic Dispatch Problem Using a Hybrid ACO-ABC-HS Optimization Algorithm,†International Journal of Electrical Power and Energy System, vol. 78, pp. 735-744, 2016.

A. A. Elsakaan, R. A. El-Sehiemy, S. S. Kaddah, and M. I. Elsaid, “An Enhanced Moth-flame Optimizer for Solving Non-smooth Economic Dispatch Problems with Emissions,†Energy, vol. 157, pp. 1063-1078, 2018.

S. C. Cui, Y. W. Wang, X. N. Lin, and X. K. Liu, “Distributed auction optimization algorithm for the nonconvex economic dispatch problem based on the gossip communication mechanism,â€International Journal of Electrical Power and Energy System, vol. 95, pp. 417–426, 2018.

M. Basu, “Fast Convergence Evolutionary Programming for Economic Dispatch Problems,†IET Generation, Transmission and Distribution, vol. 11, no. 16, pp. 4009-4017, 2017.

B. R. Adarsh, T. Ragunathan, T. Jayabarathi, and X. S. Yang, “Economic Dispatch Using Chaotic Bat Algorithm,†Energy, vol. 96, pp. 666-675, 2016.

M. Abdel-Basset, R. Mohamed, S. Mirjalili, R. K. Chakrabortty, and M. J. Ryan, “Solar Photovoltaic Parameter Estimation Using an Improved Equilibrium Optimizer,†Solar Energy, vol. 209, pp. 694-708, 2020.

J. Too and S. Mirjalili, “General Learning Equilibrium Optimizer: A New Feature Selection Method for Biological Data Classification,†Applied Artificial Intelligence, vol. 35, no. 3, pp. 247-263, 2021.

A. D. Tang, T. Han, H. Zhou, and L. Xie, “An Improved Equlibrium Optimizer with Application in Unmanned Aerial Vehicle Path Planning,†Sensors, vol. 21, no. 1814, pp. 1-21, 2021.

J. Kennedy and R. Eberhart, “Particle Swarm Optimization,†in Proceedings of the IEEE International Conference on Neural Networks, vol. 4, pp. 1942-1948, 1995.

W. T. Elsayed, Y. G. Hegazy, M. S. El-bages, and F. M. Bendary, “Improved Random Drift Particle Swarm Optimization with Self-Adaptive Mechanism for Solving the Power Economic Dispatch Problem,†IEEE Transaction on Industrial Informatics, vol. 13, no. 3, pp. 1017-1026, 2017.

S. Mirjalili, S. M. Mirjalili, and A. Lewis, “Grey Wolf Optimizer,†Advances in Engineering Software, vol. 69, pp. 46-61, 2014.

M. Pradhan, P. K. Roy, and T. Pal, ‘Grey Wolf Optimization Applied to Economic Dispatch Problems,†International Journal of Electrical Power and Energy System, vol. 83, pp. 325-334, 2016.

S. Mirjalili, and A. Lewis, “The Whale Optimization Algorithm,†Advances in Engineering Software, vol. 95, pp. 51-67, 2016.

Y. Wu, G. Liu, X. Guo, Y. Shi, and L. Xie, “A self-adaptive chaos and Kalman flter-based particle swarm optimization for economic dispatch problem,†Soft Computing, vol. 21, no. 12, pp. 3353–3365, 2017.

A. Faramarzi, M. Heidarinejad, B. Stephens, and S. Mirjalili, “Equilibrium Optimizer: A Novel Optimization Algorithm,†Knowledge-based Systems, vol. 191, no. 105190, pp. 1-39, 2019.

Z. L. Gaing, “Particle Swarm Optimization to Solving the Economic Dispatch Considering the Generator Constraints,†IEEE Transaction on Power Systems, vol. 18, no. 3, pp. 1187-1195, 2003.

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