Efficient Inverse Transient Analysis in Series Pipe Systems
Publication: Journal of Hydraulic Engineering
Volume 125, Issue 7
Abstract
Measurement of the changes in heads initiated by a valve closure are used to calibrate the friction factors in a hydraulic system consisting of a series-connected pipeline and a downstream valve joining two reservoirs. The calibration is performed by minimizing the inverse least-squares problem representing the difference between the measured and predicted transient response in the network. The hydraulic transient is modeled using the method of characteristics. Unlike previous approaches, the sensitivity information required for the minimization or error is obtained by direct differentiation of the method of characteristic equations and the valve equation with respect to the friction factors. The sensitivity of the calibration results to the amount of data included in the analysis, the initial friction factor estimates, and modeling and simulated measurement errors is discussed.
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References
1.
Chaudhry, M. H. ( 1987). Applied hydraulic transients. Van Nostrand Reinhold, New York.
2.
Karney, B. W., and McInnis, D. A. (1992). “Efficient calculation of transient flow in simple networks.”J. Hydr. Engrg., ASCE, 118(7), 1014–1030.
3.
Liggett, J. A. ( 1993). “Network monitoring and the algorithmic location of leaks under steady and unsteady conditions.” Water supply systems: State of the art and future trends, E. Cabrera and F. Martinez, eds., Computational Mathematics Publications, Southampton, England.
4.
Liggett, J. A., and Chen, L.-C. (1994a). “Inverse transient analysis in pipe networks.”J. Hydr. Engrg., ASCE, 120(8), 934–955.
5.
Liggett, J. A., and Chen, L.-C. ( 1994b). “Monitoring water distribution systems: The inverse method as a tool for calibration and leak detection.” Improving efficiency and reliability in water distribution systems, E. Cabrera and Antonio F. Vela, eds., Kluwer Academic, Boston, 107–134.
6.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. ( 1992). Numerical recipes in C, second edition. Cambridge University Press, Cambridge, England.
7.
Wylie, E. B., and Streeter, V. L. ( 1993). Fluid transients in systems. Prentice-Hall, Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 125 • Issue 7 • July 1999
Pages: 761 - 764
History
Published online: Jul 1, 1999
Published in print: Jul 1999
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