Water distribution networks as flexible loads: A chance-constrained programming approach

Water distribution networks as flexible loads: A chance-constrained programming approach
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作为灵活负载的供水网络:机会约束的规划方法

DOI:
10.1016/j.epsr.2020.106570
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发表时间:
2020
影响因子:
3.9
通讯作者:
J. Mathieu
J. Mathieu
中科院分区:
工程技术3区
文献类型:
--
作者:
Anna Stuhlmacher;J. Mathieu

文献摘要

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由于可再生能源水平的不断提高,配电网(PDN)的灵活性需求越来越大。在这里,我们考虑使用供水管网(WDN)作为灵活的负荷。我们建立了一个机会约束的多周期优化问题,在处理电力需求预测不确定性的同时,对具有WDN和PDN约束的配水泵进行调度。为了做到这一点,我们开发了一种控制策略,当存在PDN约束违反时,该控制策略调整WDN的操作。由于所得到的问题是非凸的,我们利用近似和松弛技术将问题转化为凸规划,并通过情景方法进行求解。通过详细的案例研究,我们验证了控制策略的性能,以确保在不确定的情况下网络约束得到满足。我们发现,我们可以成功地调度和控制WDN,为PDN提供灵活性,以满足许多现实的水和电力需求场景。
There is a greater need for flexibility in the power distribution network (PDN) due to increasing levels of renewable energy resources. Here, we consider using the water distribution network (WDN) as a flexible load. We formulate a chance-constrained multiperiod optimization problem to schedule water distribution pumps subject to WDN and PDN constraints while managing power demand forecast uncertainty. To do that, we develop a control policy that adjusts the WDN’s operation when a PDN constraint violation is present. Since the resulting problem is nonconvex, we utilize approximation and relaxation techniques to transform the problem into a convex program and solve via the scenario approach. Through detailed case studies, we verify the performance of the control policy to ensure network constraints are satisfied despite uncertainty. We find that we can successfully schedule and control the WDN to provide flexibility to the PDN for many realistic water and power demand scenarios.