Prior Assumptions for Leak Localisation in Water Distribution Networks with Uncertainties
Prior Assumptions for Leak Localisation in Water Distribution Networks with Uncertainties
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DOI：
10.1007/s11269-021-02988-z
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发表时间：
2021-10
影响因子：
4.3
通讯作者：
Caroline Blocher;Filippo Pecci;I. Stoianov
中科院分区：
文献类型：
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作者：
Caroline Blocher;Filippo Pecci;I. Stoianov
基于水力模型的泄漏（突发）定位在供水管网是一个具有挑战性的问题，由于有限数量的水力测量，广泛的泄漏特性，模型和数据的不确定性。在这项研究中，先验假设进行了调查，以改善泄漏定位的不确定性的存在。例如，正则化依赖于泄漏系数向量的欧几里德范数应该被最小化的假设。这种方法相比，基于灵敏度矩阵的方法，假设只存在一个单一的泄漏。结果表明，虽然灵敏度矩阵法往往会产生一个更好的泄漏位置估计在单一的泄漏情况下，正则化成功地确定了一个搜索区域，精确定位的泄漏位置。此外，它示出的附加误差引入的二次近似的Hazen-Williams公式的本地化问题的解决方案是可以忽略不计的不确定性，在Hazen-Williams阻力系数在业务水网络模型。
Hydraulic model-based leak (burst) localisation in water distribution networks is a challenging problem due to a limited number of hydraulic measurements, a wide range of leak properties, and model and data uncertainties. In this study, prior assumptions are investigated to improve the leak localisation in the presence of uncertainties. For example,-regularisation relies on the assumption that the Euclidean norm of the leak coefficient vector should be minimised. This approach is compared with a method based on the sensitivity matrix, which assumes the existence of only a single leak. The results show that while the sensitivity matrix method often yields a better leak location estimate in single leak scenarios, the-regularisation successfully identifies a search area for pinpointing the accurate leak location. Furthermore, it is shown that the additional error introduced by a quadratic approximation of the Hazen-Williams formula for the solution of the localisation problem is negligible given the uncertainties in Hazen-Williams resistance coefficients in operational water network models.