Parameter Estimation for Water Distribution Networks
Publication: Journal of Water Resources Planning and Management
Volume 117, Issue 1
Abstract
Calibration of a water distribution network is a long, tedious task, if analyzed by an engineer, with no guarantee of determining the proper system parameters. In addition, more utilities are moving toward automated control and wish to estimate the state of the network based upon telemetry data, A rigorous, nonlinear programming algorithm, which incorporates a network simulation model, is presented to solve these problems. The model is capable of analyzing one or more independent demand patterns, or extended period simulations, or both. The model assumes the measurements are exact and has an objective of minimizing the sum of the squares or absolute values of the differences between observed and estimated values of pipe flows and nodal pressure heads. The model consistently finds optimal solutions with the objective function equal to zero with exact data. However, the estimated parameters (pipe roughness coefficients, valve settings, and nodal demands) are not always the true values, which points to a need to collect sufficient quantities of high‐quality data.
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References
1.
Bargiela, A., and Hainsworth, G. (1989). “Pressure and flow uncertainty in water systems,” J. Water Resour. Plng. and Mgmt., ASCE, 115(2), 212–229.
2.
Coulbeck, B. (1985). “An application of hierarchial optimization in calibration of large‐scale water networks.” Optimal Control Applications and Methods, 6, Jun., 31–42.
3.
Donachie, R. P. (1974). “Digital program for water network analysis.” J. Hydr. Div., ASCE, 100(3), 393–403.
4.
Gill, P., Murray, W., and Wright, W. (1981). Practical optimization, Academic Press, London, U.K.
5.
Gofman, E., and Rodeh, M. (1981). “Loop equations with unknown pipe characteristics.” J. Hydr. Div., ASCE, 107(9), 1047–1060.
6.
Lansey, K. E. (1987). “Optimal design of large scale water distribution systems under multiple loading conditions,” thesis presented to the University of Texas, at Austin, Texas, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Lansey, K. E., and Mays, L. W. (1989). “Optimization model for water distribution system design.” J. Hydr. Div., ASCE, 115(10), 1401–1418.
8.
Lasdon, L. S., and Mantell, J. (1978). “A GRG algorithm for econometric control problems.” Ann. Econ. Soc. Mgmt., 6(5), 581–597.
9.
Lasdon, L. S., and Waren, A. (1986). GRG2 user's guide, Dept. of General Business, The Univ. of Texas, Austin, Tex.
10.
Ormsbee, L. E. (1989). “Implicit network calibration.” J. Water Resour. Plng. and Mgmt., ASCE, 115(2), 243–257.
11.
Ormsbee, L. E., and Wood, D. J. (1986). “Explicit pipe network calibration.” J. Water Resour. Plng. and Mgmt., ASCE, 112(2), 166–182.
12.
Rahal, C. M., Sterling, M. J. H., and Coulbeck, B. (1980). “Parameter tuning for simulation models of water distribution networks.” Proc., Institution of Civil Engineers, London, U.K., 69, Sep., 751–762.
13.
Shamir, U. (1974). “Optimal design and operations of water distribution systems.” Water Resour. Res., 10(1), 27–36.
14.
Walski, T. M. (1983). “Technique for calibrating network models.” J. Water Resour. Plng. and Mgmt., ASCE, 109(4), 360–372.
15.
Walski, T. M. (1986). “Case study: Pipe network model calibration issues.” J. Water Resour. Plng. and Mgmt., ASCE, 112(2), 238–249.
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Copyright © 1991 ASCE.
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Published online: Jan 1, 1991
Published in print: Jan 1991
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