SU Jiong-heng,WANG Qi,WANG Li-bing,et al.A Multi-objective Coordinated Design Method for Water Distribution Networks Considering Cost, Resilience and Water Quality[J].China Water & Wastewater,2020,36(21):58-65.
考虑成本–弹性–水质的供水管网多目标协同设计方法
- Title:
- A Multi-objective Coordinated Design Method for Water Distribution Networks Considering Cost, Resilience and Water Quality
- 摘要:
- 基于多目标优化的思想提出一种统筹考虑经济性、弹性和水质状况的供水管网协同设计方法。首先，在满足多个工况（最高日最高时、典型日和多种消防事件）及约束条件下，以管网总成本（包含建设与运营成本）、管网弹性力指数和水龄作为优化目标，建立供水管网多目标设计的数学模型。然后，采用自适应多目标进化算法（Borg）对优化模型进行求解，获得帕累托（Pareto）最优解集。最后，以Anytown管网为研究对象，通过与基于NSGA-Ⅱ的优化计算结果以及仅考虑成本和弹性的优化计算结果进行对比，验证所提出的协同设计方法的合理性。结果显示，上述协同设计方法既能揭示成本、弹性和水质的权衡关系，又可在满足多种条件的同时显著改善管网水质状况，从而为决策者提供综合效益更优的管网设计方案。
- Abstract:
- Based on the idea of multi-objective optimization, a coordinated design method of water distribution network considering economy, resilience and water quality was proposed. Firstly, a multi-objective design mathematical model of water distribution network was established by taking total cost (including construction and operational costs), network resilience index and water age as optimal objectives under satisfying multiple loading (instantaneous peak, average day demand, multiple fire events) and constraint conditions. Then, the optimal model was solved by using auto-adaptive multi-objective evolutionary algorithm (Borg), and Pareto optimal solution set was obtained. Finally, rationality of the proposed coordinated design method was verified in the Anytown network by comparing with the optimal results of those based on NSGA-Ⅱ as well as only considering cost and resilience. The above coordinated design method can not only reveal the trade-off between cost, resilience and water quality, but also significantly improve the water quality of water distribution network while satisfying various conditions, so as to provide decision-makers with design solutions of better overall benefits.
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