Transient Analysis with Time-Decoupled Pumping Station
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 3
Abstract
An explicit numerical approximation of the inertial equation governing pump speed changes is shown to have many computational advantages over the conventional implicit approach when modeling complex pumping stations. The pump boundary condition is numerically decoupled from the transient time step by solving the first-order differential torque equation explicitly. A step-by-step finite difference method is used to integrate the torque equation, but the energy equation is solved separately by Newton's method. The explicit approach is demonstrated on a simple forcemain and shows good agreement with the conventional implicit approach. Applications show the ease with which complex and variable speed pumping arrangements are efficiently modeled using the explicit approach. In particular, the explicit approach does not require: (1) contraction of the system of equations as a decelerating pump is eliminated upon pump check valve closure; (2) expansion of the system of equations as an accelerating pump comes up to speed; or (3) dedicated code for combinations of operating, failing, or speed-changing pumps.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Burden, R. L., and Faires, J. D. (1985). Numerical analysis, 3rd Ed., Prindle, Weber & Schmidt, Boston, Mass.
2.
Chaudhry, M. (1987). Applied hydraulic transients, Van Nostrand Reinhold, New York, N.Y.
3.
Karney, B. W., and McInnis, D.(1992). “Efficient calculation of transient flow in simple networks,”J. Hydr. Engrg., ASCE, 118(7), 1014–1030.
4.
Streeter, V. L.(1969). “Water hammer analysis.”J. Hydr. Div., ASCE, 95(6), 1959–1972.
5.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transients in systems. Prentice-Hall, Inc., Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Mar 1, 1998
Published in print: Mar 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.