Title
Probabilistic State Estimation in Water Networks
Abstract
State estimation (SE) in water distribution networks (WDNs), the problem of estimating all unknown network heads and flows given select measurements, is challenging due to the nonconvexity of hydraulic models and significant uncertainty from water demands, network parameters, and measurements. To this end, a probabilistic modeling for SE in WDNs is proposed. After linearizing the nonlinear hydraulic WDN model, the proposed probabilistic SE (PSE) shows that the covariance matrix of unknown system states (unmeasured heads and flows) can be linearly expressed by the covariance matrix of three uncertainty sources (i.e., measurement noise, network parameters, and water demands). Instead of providing deterministic results for unknown states, the proposed PSE approach: 1) regards the system states and uncertainty sources as random variables and yields variances of individual unknown states; 2) considers thorough modeling of various types of valves and measurement scenarios in WDNs; and 3) is also useful for uncertainty quantification, extended period simulations, and confidence limit analysis. The effectiveness and scalability of the proposed approach are tested using several WDN case studies.
Year
DOI
Venue
2022
10.1109/TCST.2021.3066102
IEEE Transactions on Control Systems Technology
Keywords
DocType
Volume
Confidence limit analysis (CLA),probabilistic state estimation (PSE),uncertainty quantification,water distribution networks (WDNs)
Journal
30
Issue
ISSN
Citations 
2
1063-6536
1
PageRank 
References 
Authors
0.59
3
5
Name
Order
Citations
PageRank
Shen Wang1143.03
Ahmad F. Taha23914.71
Nikolaos Gatsis334037.15
Lina Sela422.30
Marcio H. Giacomoni562.03