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Hierarchical multi-reservoir optimization modeling for real-world complexity with application to the Three Gorges system
Affiliation:1. College of Water Resources & Civil Engineering, China Agricultural University, Beijing 100083, China;2. School of Civil &Environmental Engineering, Cornell University, Ithaca, NY, USA;3. Institute for Aero-Engine, School of Aerospace Engineering, Tsinghua University, Beijing, China;4. State Key Laboratory of Hydroscience & Engineering, Tsinghua University, Beijing, China;1. University of Information, Science & Technology, Ohrid, Macedonia;2. Dept. Computer Architecture and Technology, CITIC, University of Granada, Spain;3. Dept. Communications Engineering, University of Malaga, Spain;4. Dept. Business Administration and Management, Catholic University of Murcia, Spain;1. Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, UK;2. Department of Materials Science and Engineering, Royal Institute of Technology (KTH), SE-10044 Stockholm, Sweden;3. Thermo-Calc Software, Stockholm Technology Park, SE-11347 Stockholm, Sweden;1. Residues and Resource Reclamation Centre (R3C), Nanyang Environment and Water Research Institute, Nanyang Technological University, 1 Cleantech Loop, CleanTech One, Singapore, 637141, Singapore;2. Arcadis, 320 Commerce Suite 200, Irvine, CA, 92602, USA;3. Dept. of Civil and Materials Engineering, 3077 Engineering Research Facility, Univ. of Illinois at Chicago, 842 West Taylor St., M/C 246, Chicago, IL 60607-7023, USA;1. Department of Mathematics and Computer Science, Clarkson University, USA;2. Department of Mathematical Sciences, Clemson University, Clemson, SC, USA;3. Department of Mathematics, Indiana University of Pennsylvania, USA;4. Coastal and Hydraulics Laboratory, Engineer Research and Development Center, U.S. Army Corps of Engineers, Vicksburg, MS, USA;5. Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, USA
Abstract:High dimensionality in real-world multi-reservoir systems greatly hinders the application and popularity of evolutionary algorithms, especially for systems with heterogeneous units. An efficient hierarchical optimization framework is presented for search space reduction, determining the best water distributions, not only between cascade reservoirs, but also among different types of hydropower units. The framework is applied to the Three Gorges Project (TGP) system and the results demonstrate that the difficulties of multi-reservoir optimization caused by high dimensionality can be effectively solved by the proposed hierarchical method. For the day studied, power output could be increased by 6.79 GWh using an optimal decision with the same amount of water actually used; while the same amount of power could be generated with 2.59 × 107 m3 less water compared to the historical policy. The methodology proposed is general in that it can be used for other reservoir systems and other types of heterogeneous unit generators.
Keywords:Hierarchical optimization  Heterogeneous hydropower units  Multi-reservoirs  Heuristic algorithms  The Three Gorges Project
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