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Optimal Design Method of Looped Water Distribution Network
Institution:1. Key Lab of Northwest Water Resources and Environment Ecology of MOE, Xi''an University of Technology, Xi''an 710048, China;2. College of Science, Xi''an Polytechnic University, Xi''an 710048, China;1. Urban and Landscape Ecology Lab, Institute of Geography, Humboldt Universität zu Berlin, Rudower Chaussee 16, 12489 Berlin, Germany;2. Helmholtz Centre for Environmental Research – UFZ, Department of Computational Landscape Ecology, Permoser Straße 13, 04318 Leipzig, Germany;1. Urban and Landscape Ecology Lab, Institute of Geography, Humboldt Universität zu Berlin, Rudower Chaussee 16, 12489 Berlin, Germany;2. Helmholtz-Centre for Environmental Research – UFZ, Department Ecosystem Services, Germany;3. German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Research Group Ecosystem Services, Germany;1. Mechanical Engineering Department, LEPTEN/ Boiling, Federal University of Santa Catarina, Florianópolis, SC, 88040-900, Brazil;2. Mobility Department, Federal University of Santa Catarina, Joinville, SC, 89218-000, Brazil;1. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India;2. Department of Chemical Engineering, Indian Institute of Technology Madras, Chennai 600036, India;1. University Roma TRE, Italy;2. German Aerospace Center (DLR), Germany;3. RUAG Aviation, Switzerland
Abstract:The new procedure, in which the minimum annual cost (or investment) is used as the objective function, is presented to optimize looped water distribution network, combining the quadric orthogonal circumrotation regression design, the quadratic programming and the linear programming together. First, the flow distribution schemes are set down by means of quadric orthogonal circumrotation regression design. The annual cost of each flow distribution scheme is determined by linear programming and the quadric multiple regression equation between the annual cost and the pipe segment flows is established. Second, the optimal flow distribution scheme in which the quadric multiple regression equation is used as the objective function is determined by the quadratic programming. Finally, the optimal design of looped network is determined by linear programming based on the optimal flow distribution scheme. The procedure can be used to optimize the single resource looped network with pump station and gravity.
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