A Gradient-type Method for Real-Time State Estimation of Water Distribution Networks
Une méthode de type gradient pour l'estimation temps-réel de l'état hydraulique de réseaux de distribution d'eau
Résumé
Drinking water distribution networks risk exposure to malicious or accidental contamination. Several levels of responses are conceivable. One of them consists of installing a sensor network to monitor the system in real time. Once a contamination has been detected, it is also important to take appropriate counter-measures. The SMaRT-OnlineWDN project relies on modeling to predict both the hydraulics and water quality. An online model use makes identification of the contaminant source and simulation of the contaminated area possible. The objective of this paper is to present SMaRT-OnlineWDN experience and research results for hydraulic state estimations with sampling frequency of a few minutes. A least squares problem with bound constraints is formulated to adjust the demand class coefficient to best fit the observed values at a given time. The criterion is a Huber function to limit the influence of outliers. A Tikhonov regularization is introduced for consideration of prior information in the parameter vector. Then the Levenberg-Marquardt algorithm is applied that uses derivative information for limiting the number of iterations. Confidence intervals for the state prediction are also given. The results are presented and discussed on real networks in France and Germany.