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Network Subsystems for Robust Design Optimization of Water Distribution Systems
Water ( IF 3.4 ) Pub Date : 2022-08-07 , DOI: 10.3390/w14152443
Assefa Hayelom, Avi Ostfeld

The optimal design of WDS has been extensively researched for centuries, but most of these studies have employed deterministic optimization models, which are premised on the assumption that the parameters of the design are perfectly known. Given the inherently uncertain nature of many of the WDS design parameters, the results derived from such models may be infeasible or suboptimal when they are implemented in reality due to parameter values that differ from those assumed in the model. Consequently, it is necessary to introduce some uncertainty in the design parameters and find more robust solutions. Robust counterpart optimization is one of the methods used to deal with optimization under uncertainty. In this method, a deterministic data set is derived from an uncertain problem, and a solution is computed such that it remains viable for any data realization within the uncertainty bound. This study adopts the newly emerging robust optimization technique to account for the uncertainty associated with nodal demand in designing water distribution systems using the subsystem-based two-stage approach. Two uncertainty data models with ellipsoidal uncertainty set in consumer demand are examined. The first case, referred to as the uncorrelated problem, considers the assumption that demand uncertainty only affects the mass balance constraint, while the second case, referred to as the correlated case, assumes uncertainty in demand and also propagates to the energy balance constraint.

中文翻译:

用于配水系统稳健设计优化的网络子系统

几个世纪以来,WDS 的优化设计已经被广泛研究,但这些研究大多采用确定性优化模型,其前提是设计参数完全已知。鉴于许多 WDS 设计参数固有的不确定性,从这些模型得出的结果在实际实施时可能是不可行的或次优的,因为参数值与模型中假设的值不同。因此,有必要在设计参数中引入一些不确定性并找到更稳健的解决方案。鲁棒配对优化是用于处理不确定性优化的方法之一。在这种方法中,确定性数据集是从一个不确定的问题中推导出来的,并计算出一个解决方案,使其对于不确定性范围内的任何数据实现都保持可行。本研究采用新出现的稳健优化技术来解决使用基于子系统的两阶段方法设计配水系统时与节点需求相关的不确定性。检验了两个在消费者需求中设置了椭圆不确定性的不确定性数据模型。第一种情况,称为不相关问题,考虑了需求不确定性仅影响质量平衡约束的假设,而第二种情况,称为相关情况,假设需求不确定性并传播到能量平衡约束。本研究采用新出现的稳健优化技术来解决使用基于子系统的两阶段方法设计配水系统时与节点需求相关的不确定性。检验了两个在消费者需求中设置了椭圆不确定性的不确定性数据模型。第一种情况,称为不相关问题,考虑了需求不确定性仅影响质量平衡约束的假设,而第二种情况,称为相关情况,假设需求不确定性并传播到能量平衡约束。本研究采用新出现的稳健优化技术来解决使用基于子系统的两阶段方法设计配水系统时与节点需求相关的不确定性。检验了两个在消费者需求中设置了椭圆不确定性的不确定性数据模型。第一种情况,称为不相关问题,考虑了需求不确定性仅影响质量平衡约束的假设,而第二种情况,称为相关情况,假设需求不确定性并传播到能量平衡约束。
更新日期:2022-08-08
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