Control of tree water networks: A geometric programming approach
Control of tree water networks: A geometric programming approach
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树木水网络的控制：几何规划方法
DOI：
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发表时间：
2015
期刊：
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通讯作者：
Saurabh Amin
中科院分区：
文献类型：
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作者：
L. S. Perelman;Saurabh Amin
本文提出了一种树木供水系统的建模和操作方法。网络控制问题近似为几何规划（GP）问题。将非线性非凸网络控制问题转化为凸优化问题。优化模型可以使用最先进的求解器有效地求解为最优。提出了两种控制方案：（1）网络执行器（泵和阀）的操作和（2）有限资源的网络用户之间的受控需求削减分配。对偶的网络控制问题的制定，并用于进行灵敏度分析，相对于液压约束。该方法在小型分支拓扑网络上进行了演示，后来扩展到中型灌溉网络。研究结果表明，能源成本和需求削减政策之间存在内在的权衡，为水系统的主动管理提供了有效的决策支持工具。
This paper presents a modeling and operation approach for tree water supply systems. The network control problem is approximated as a geometric programming (GP) problem. The original nonlinear nonconvex network control problem is transformed into a convex optimization problem. The optimization model can be efficiently solved to optimality using state‐of‐the‐art solvers. Two control schemes are presented: (1) operation of network actuators (pumps and valves) and (2) controlled demand shedding allocation between network consumers with limited resources. The dual of the network control problem is formulated and is used to perform sensitivity analysis with respect to hydraulic constraints. The approach is demonstrated on a small branched‐topology network and later extended to a medium‐size irrigation network. The results demonstrate an intrinsic trade‐off between energy costs and demand shedding policy, providing an efficient decision support tool for active management of water systems.