TECHNICAL PAPERS
Mar 25, 2009

Real-Time Demand Estimation and Confidence Limit Analysis for Water Distribution Systems

Publication: Journal of Hydraulic Engineering
Volume 135, Issue 10

Abstract

A real-time estimation of water distribution system state variables such as nodal pressures and chlorine concentrations can lead to savings in time and money and provide better customer service. While a good knowledge of nodal demands is prerequisite for pressure and water quality prediction, little effort has been placed in real-time demand estimation. This study presents a real-time demand estimation method using field measurement provided by supervisory control and data acquisition systems. For real-time demand estimation, a recursive state estimator based on weighted least-squares scheme and Kalman filter are applied. Furthermore, based on estimated demands, real-time nodal pressures and chlorine concentrations are predicted. The uncertainties in demand estimates and predicted state variables are quantified in terms of confidence limits. The approximate methods such as first-order second-moment analysis and Latin hypercube sampling are used for uncertainty quantification and verified by Monte Carlo simulation. Application to a real network with synthetically generated data gives good demand estimations and reliable predictions of nodal pressure and chlorine concentration. Alternative measurement data sets are compared to assess the value of measurement types for demand estimation. With the defined measurement error magnitudes, pipe flow data are significantly more important than pressure head measurements in estimating demands with a high degree of confidence.

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Acknowledgments

This research was partially supported by NATO (Science for Peace SfP Project No. UNSPECIFIEDCBD.M.D.SFP 981456).

References

Andersen, J. H., and Powell, R. S. (2000). “Implicit state-estimation technique for water network monitoring.” Urban Water, 2(2), 123–130.
Andersen, J. H., Powell, R. S., and Marsh, J. F. (2001). “Constrained state estimation with applications in water distribution network monitoring.” Int. J. Syst. Sci., 32, 807–816.
Bargiela, A., and Hainsworth, G. D. (1989). “Pressure and flow uncertainty in water systems.” J. Water Resour. Plann. Manage., 115(2), 212–229.
Bhave, P. R. (1988). “Calibrating water distribution network models.” J. Environ. Eng., 114(1), 120–136.
Bush, C. A., and Uber, J. G. (1998). “Sampling design methods for water distribution model calibration.” J. Water Resour. Plann. Manage., 124(6), 334–344.
Carpentier, P., and Cohen, G. (1991). “State estimation and leak detection in water distribution networks.” Civ. Eng. Syst., 8, 247–257.
Coutto, M. B., Silva, A. M. L., and Falcão, D. M. (1990). “Bibliography on power system state stimation (1968–1989).” IEEE Trans. Power Syst., 5(7), 950–961.
Datta, R. S. N., and Sridharan, K. (1994). “Parameter estimation in water-distribution systems by least squares.” J. Water Resour. Plann. Manage., 120(4), 405–422.
Davidson, J. W., and Bouchart, F. J. C. (2006). “Adjusting nodal demand in SCADA constrained real-time water distribution network models.” J. Hydraul. Eng., 132(1), 102–110.
Kalman, R. E. (1960). “A new approach to linear filtering and prediction problems.” J. Basic Eng., 82, 35–45.
Kalman, R. E., and Bucy, R. S. (1961). “New results in linear filtering and prediction theory.” J. Basic Eng., 83, 95–108.
Kang, D. S., Pasha, M. F. K., and Lansey, K. (2007). “Approximate methods for analyzing water quality prediction uncertainty in water distribution systems.” Proc., World Environmental and Water Resources Congress 2007, ASCE, Reston, Va.
Kang, D. S., Pasha, M. F. K., and Lansey, K. (2008). “Approximate methods for uncertainty analysis of water distribution systems.” Urban Water, 6(3), 233–249.
Kapelan, Z., Savic, D. A., and Walters, G. A. (2007). “Calibration of water distribution hydraulic models using a Bayesian-type procedure.” J. Water Resour. Plann. Manage., 133(8), 927–936.
Kumar, S. M., Narasimhan, S., and Bhallamudi, S. M. (2008). “State estimation in water distribution networks using graph-theoretic reduction strategy.” J. Water Resour. Plann. Manage., 134(5), 395–403.
Lansey, K. E., and Basnet, C. (1991). “Parameter estimation for water distribution networks.” J. Water Resour. Plann. Manage., 117(1), 126–144.
Lansey, K. E., El-Shorbagy, W., Ahmed, I., Araujo, J., and Haan, C. T. (2001). “Calibration assessment and data collection for water distribution networks.” J. Hydraul. Eng., 127(4), 270–279.
Mallick, K. N., Ahmed, I., Tickle, K. S., and Lansey, K. E. (2002). “Determining pipe groupings for water distribution networks.” J. Water Resour. Plann. Manage., 128(2), 130–139.
Monticelli, A. (2000). “Electric power system state estimation.” Proc. IEEE, 88(2), 262–282.
Munavalli, G. R., and Kumar, M. S. M. (2003). “Water quality parameter estimation in steady-state distribution system.” J. Water Resour. Plann. Manage., 129(2), 124–134.
Nagar, A. K., and Powell, R. S. (2002). “LFT/SDP approach to the uncertainty analysis for state estimation of water distribution systems.” IEE Proc.: Control Theory Appl., 149(2), 137–142.
Ormsbee, L. E. (1989). “Implicit network calibration.” J. Water Resour. Plann. Manage., 115(2), 243–257.
Ormsbee, L. E., and Wood, D. J. (1986). “Explicit pipe network calibration.” J. Water Resour. Plann. Manage., 112(2), 166–182.
Pasha, M. F. K., and Lansey, K. (2005). “Analysis of uncertainty on water distribution hydraulics and water quality.” Proc., World Water Congress 2005, ASCE, Reston, Va.
Powell, R. S., Irving, M. R., and Sterling, M. J. H. (1988). “A comparison of three real-time state estimation methods for on-line monitoring of water distribution systems.” Computer Applications in Water Supply, 1, 333–348.
Reddy, P. V. N., Sridharan, K., and Rao, P. V. (1996). “WLS method for parameter estimation in water distribution networks.” J. Water Resour. Plann. Manage., 122(3), 157–164.
Sterling, M. J. H., and Bargiela, A. (1984). “Minimum norm state estimation for computer control of water distribution systems.” IEE Proc.-D: Control Theory Appl., 131(2), 57–63.
Todini, E., and Pilati, S. (1988). “A gradient algorithm for the analysis of pipe networks,” Computer Applications in Water Supply, 1, 1–20.
Tung, Y. K., and Yen, B. C. (2005). Hydrosystems engineering uncertainty analysis, McGraw-Hill, New York.
U.S. EPA. (2000). Epanet user’s manual, U.S. Environmental Protection Agency, Cincinnati.
Walski, T. M. (1983). “Technique for calibrating network models.” J. Water Resour. Plann. Manage., 109(4), 360–372.
Xu, C., and Goulter, I. C. (1998). “Probabilistic model for water distribution reliability.” J. Water Resour. Plann. Manage., 124(4), 218–228.
Yu, G., and Powell, R. S. (1994). “Optimal design of meter placement in water distribution systems.” Int. J. Syst. Sci., 25(12), 2155–2166.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 135Issue 10October 2009
Pages: 825 - 837

History

Received: Jun 12, 2008
Accepted: Mar 23, 2009
Published online: Mar 25, 2009
Published in print: Oct 2009

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Authors

Affiliations

Doosun Kang [email protected]
Research Associate, Dept. of Civil Engineering and Engineering Mechanics, The Univ. of Arizona, Tucson, AZ 85721. E-mail: [email protected]
Kevin Lansey [email protected]
Professor, Dept. of Civil Engineering and Engineering Mechanics, The Univ. of Arizona, Tucson, AZ 85721 (corresponding author). E-mail: [email protected]

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