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Water cycle algorithm-based economic dispatcher for sequential and simultaneous objectives including practical constraints
Affiliation:1. School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China;2. Graduate School of Business and Law, RMIT University, 379-405 Russell St, Melbourne, VIC 3000, Australia;3. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China;1. Department of Electrical and Electronics Engineering, Technology Faculty, Duzce University, Duzce, Turkey;2. Department of Electrical Engineering, Engineering Faculty, Kocaeli University, Kocaeli, Turkey;3. Department of Electrical and Electronics Engineering, Engineering Faculty, Karadeniz Technical University, 61080 Trabzon, Turkey;1. Electrical Engineering Graduate Program (PPGEE), Department of Electrical Engineering, Federal University of Parana (UFPR), Polytechnic Center, CP 19011, 81531-980 Curitiba, PR, Brazil;2. Industrial and Systems Engineering Graduate Program (PPGEPS), Pontifical Catholic University of Parana (PUCPR), Imaculada Conceição, 1155, 80215-901 Curitiba, PR, Brazil;3. Department of Mechanical Engineering, Pontifical Catholic University of Parana (PUCPR), Imaculada Conceição, 1155, 80215-901 Curitiba, PR, Brazil;1. UM Power Energy Dedicated Advanced Center (UMPEDAC), Level 4, Wisma R&D University of Malaya, Jalan Pantai Baharu, 59990 Kuala Lumpur, Malaysia;2. Renewable Energy Research Group, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Faculty of Engineering and Technology, Razi University, Eslam Abad Gharb, Kermanshah, Iran;2. Department of Electrical Engineering, Shiraz University of Technology, Shiraz, Iran;3. Department of Electrical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran;4. Electrical and Computer Engineering, Missouri University of Science and Technology, Rolla, USA;1. School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, Jiangsu 221116, PR China;2. Graduate School of Business and Law, RMIT University, 379-405 Russell St, Melbourne, VIC 3000, Australia;3. School of Computer Science & Technology, Jiangsu Normal University, Xuzhou, Jiangsu 221116, PR China;4. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China;5. School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou, Guangdong 510006, PR China
Abstract:The article presents an efficient methodology based-on water cycle algorithm (WCA) to solve single and multiple objectives of economic load dispatch (ELD) aiming to generate the optimal value of the active generated power for each unit. Three objectives are adopted for optimisation either sequentially or concurrently; they are: (i) fuel cost considering valve-ripple effect, (ii) emission rate, and (iii) total network loss. The generating unit prohibited zones along with ramp rate limits and generating unit power limits specify the inequality constraints of the problem while maintaining system power balance. Usually, optimisation of simultaneous multiple objectives produces set of non-dominated Pareto-front solutions. To help the decision maker, the best compromise solution is carefully picked among optimal Pareto-front points. The proposed WCA-based methodology is demonstrated on three test cases with various complexities and under number of objective scenarios. Numerical results and further subsequent comparisons to other challenging optimisers indicate the viability and confirm the strength of the proposed WCA-based ELD method.
Keywords:Economic load dispatch  Prohibited zones  Ramp rate  Pareto-front  Water cycle algorithm
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