TOWARDS GLOBALLY OPTIMAL OPERATION OF WATER SUPPLY NETWORKS
TOWARDS GLOBALLY OPTIMAL OPERATION OF WATER SUPPLY NETWORKS
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DOI：
10.3934/naco.2012.2.695
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发表时间：
2012-12-01
影响因子：
1.3
通讯作者：
Vigerske, Stefan
中科院分区：
文献类型：
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作者：
Gleixner, Ambros M.;Held, Harald;Vigerske, Stefan
本文研究有压供水管网在固定时间点的优化运行问题。我们使用一个混合整数非线性规划（MINLP）模型，将非线性物理定律和离散的决定，如开关泵。例如，我们的行业合作伙伴可以使用特定于问题的预求解和最先进的MINLP算法，在很短的运行时间内将这些静态模型求解为epsilon-全局最优性。在我们的建模中，我们强调区分我们所说的真实的和想象的流的重要性，即，考虑到当且仅当水在管道的高压端可用时，达西-韦斯巴赫定律使压力差和沿管道的流量沿着相关。我们的建模解决方案扩展到动态操作规划问题。
This paper is concerned with optimal operation of pressurized water supply networks at a fixed point in time. We use a mixed-integer nonlinear programming (MINLP) model incorporating both the nonlinear physical laws and the discrete decisions such as switching pumps on and off. We demonstrate that for instances from our industry partner, these stationary models can be solved to epsilon- global optimality within small running times using problem-specific presolving and state-of-the-art MINLP algorithms.In our modeling, we emphasize the importance of distinguishing between what we call real and imaginary flow, i.e., taking into account that the law of Darcy-Weisbach correlates pressure difference and flow along a pipe if and only if water is available at the high pressure end of a pipe. Our modeling solution extends to the dynamic operative planning problem.