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Iterative LP water system optimal operation including headloss, leakage, total head and source cost

机译:LP循环水系统的最佳运行,包括水头损失,泄漏,总水头和水源成本

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Linear water balance optimal operation models are common with relative short solution times but suffer from a lack of certainty whether the given solution is at all hydraulically feasible. Introducing hydraulic headloss, water leakage and changing pump energy consumption, effect the resulting system optimal operation but also create a non-linear problem due to the convex relation between flow, headloss, water leakage and total head. This study utilizes a methodology published by the authors for linearization of convex or concave equations. An iterative linear programming (LP) minimal cost optimal operation supply model is solved including the Hazen-Williams headloss equation, pressure related water leakage equation, changing pump energy consumption and source cost. The model is demonstrated using an example application. 'Greater than' or 'less than' water head constraints at nodes may force the system to maintain certain water levels in water tanks reducing the available operating volume forcing pumping stations to operate in peak tariff periods as less storage is available in low tariff periods. Operationally, reducing water leakage may be achieved by reducing water heads along the system by means of shifting pump operation periods and maintaining low water levels in water tanks. Source costs may serve as penalties or rewards discouraging or encouraging the use of certain water sources.
机译:线性水平衡最优运行模型通常具有相对较短的求解时间,但是缺乏给定的解决方案是否在液压上完全可行的不确定性。引入液压压头损失,漏水和改变泵的能耗,不仅使系统达到最佳运行状态,而且由于流量,压头损失,漏水和总压头之间的凸关系而产生非线性问题。本研究利用作者发表的方法对凸或凹方程进行线性化。求解了迭代线性规划(LP)最小成本最优运行供应模型,该模型包括Hazen-Williams水头损失方程,压力相关的漏水方程,变化的泵能耗和源成本。使用示例应用程序演示了该模型。节点处的“大于”或“小于”水头约束可能会迫使系统维持水箱中的某些水位,从而减少可用的运行量,迫使泵站在高峰关税期运行,因为在低关税期可用的存储量较少。在操作上,可以通过改变泵的运行周期并保持水箱中的低水位来减少沿着系统的水头来减少漏水。水源成本可以作为阻止或鼓励使用某些水源的惩罚或奖励。

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