用统计方法检测供水网异常,还能分类和粗略定位漏水点。
A Multivariate Statistical Framework for Detection, Classification and Pre-localization of Anomalies in Water Distribution Networks
- 通过数据去相关处理,用马氏距离构建异常检测指标
- 能准确识别突发、早期泄漏及传感器故障,漏损估算误差小
- 无需水力模型,适合真实管网实时监测
本文提出一种统一框架SICAMS(Mahalanobis空间中的异常检测与分类),利用多变量统计分析实现供水管网中异常的检测、分类与初步定位。该方法对异构的压力与流量传感器数据进行白化变换,消除测量间的空间相关性;基于变换后数据构造霍特林的$T^2$统计量,将异常检测建模为系统是否符合正常运行状态的假设检验。研究表明,$T^2$统计量可作为系统整体健康度的综合指标,与总漏损量显著相关,可通过回归模型近似估算漏水量。进一步设计启发式算法分析$T^2$时序,将异常分为突发泄漏、早期泄漏和传感器故障三类。此外,提出一种粗略定位方法:按传感器对$T^2$的统计贡献排序,并采用拉普拉斯插值估算受影响区域。在BattLeDIM L-Town基准数据集上的应用表明,该方法在多泄漏场景下仍保持高灵敏度与可靠性,且无需校准的水力模型,具备实际部署潜力。
原文摘要 · Abstract (English)
This paper presents a unified framework, for the detection, classification, and preliminary localization of anomalies in water distribution networks using multivariate statistical analysis. The approach, termed SICAMS (Statistical Identification and Classification of Anomalies in Mahalanobis Space), processes heterogeneous pressure and flow sensor data through a whitening transformation to eliminate spatial correlations among measurements. Based on the transformed data, the Hotelling's $T^2$ statistic is constructed, enabling the formulation of anomaly detection as a statistical hypothesis test of network conformity to normal operating conditions. It is shown that Hotelling's $T^2$ statistic can serve as an integral indicator of the overall "health" of the system, exhibiting correlation with total leakage volume, and thereby enabling approximate estimation of water losses via a regression model. A heuristic algorithm is developed to analyze the $T^2$ time series and classify detected anomalies into abrupt leaks, incipient leaks, and sensor malfunctions. Furthermore, a coarse leak localization method is proposed, which ranks sensors according to their statistical contribution and employs Laplacian interpolation to approximate the affected region within the network. Application of the proposed framework to the BattLeDIM L-Town benchmark dataset demonstrates high sensitivity and reliability in leak detection, maintaining robust performance even under multiple leaks. These capabilities make the method applicable to real-world operational environments without the need for a calibrated hydraulic model.
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