Optimization of pipe networks |
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Authors: | Claus Thorp Hansen Kaj Madsen Hans Bruun Nielsen |
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Institution: | (1) Institute for Numerical Analysis, Technical University of Denmark, DK 2800 Lyngby, Denmark |
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Abstract: | The paper treats a piping system, where the layout of the network is given but the diameters of the pipes should be chosen among a small number of different values. The cost of realizing the system should be minimized while keeping the energy heads at the nodes above some lower limits. A new algorithm using successive linear programming is presented. The performance of the algorithm is illustrated by optimizing a network with 201 pipes and 172 nodes. It is concluded that the new algorithm seems to be very efficient and stable, and that it always finds a solution with a cost near the best possible. |
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Keywords: | Gas and water distribution networks sequential linear programming trust regions sparse matrix techniques |
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