TECHNICAL PAPERS
Oct 1, 2008

Pseudotransient Continuation Method in Extended Period Simulation of Water Distribution Systems

Publication: Journal of Hydraulic Engineering
Volume 134, Issue 10

Abstract

This paper presents and discusses a new static solver that implements the pseudotransient continuation method for the quasi-steady state analysis, or extended-period simulation of water distribution systems. The implementation is based on the concept of virtual tanks and has a clear physical meaning. The steady state solver described in this paper can analyze a pipe network under pressure deficient conditions and is free from some convergence problems that occur in the Newton-Raphson method-based solvers when analyzing a pipe network with control devices. The numerical examples considered in the paper demonstrate the convergence of the proposed method in cases where existing static solvers (e.g., that of the EPANET 2 hydraulic simulator) fail.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work was supported by the National Council of Science and Technology (CONACYT) of Mexico.

References

Ang, W. H., and Jowitt, P. W. (2006). “Solution for water distribution systems under pressure-deficient conditions.” J. Water Resour. Plann. Manage., 132(3), 175–182.
Bhave, P. R. (1988). “Extended period simulation of water systems—Direct solution.” J. Environ. Eng., 114(5), 1146–1159.
Bhave, P. R. (1991). Analysis of flow in water distribution networks, Technomic Publishing Co., Lancaster, Pa.
Boulos, P. F., Lansey, K. E., and Karney, B. W. (2006). Comprehensive water distribution systems analysis handbook for engineers and planners, 2nd Ed., MWH Soft Press, Broomfield, Colo.
Brdys, M., and Ulanicki, B. (1994). Operational control of water systems: Structures, algorithms and applications, Prentice-Hall, Englewood Cliffs, N.J.
Cheung, P. B., Van Zyl, J. E., and Reis, L. F. R. (2005). “Extension of Epanet for pressure driven demand modeling in water distribution system.” CCWI2005 water management for the 21st century, Exeter, U.K.
Coffey, T. S., Kelley, C. T., and Keyes, D. E. (2003). “Pseudo-transient continuation and differential-algebraic equations.” SIAM J. Sci. Comput. (USA), 25(2), 553–569.
Filion, Y. R. (2001). “Extended dynamic network modelling,” MS thesis, Univ. of Toronto, Toronto.
George, A., and Liu, J. W. H. (1981). Computer solution of large sparse positive definite systems, Prentice-Hall, Englewood Cliffs, N.J.
Kelley, C. T., and Keyes, D. E. (1998). “Convergence analysis of pseudo-transient continuation.” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 35(2), 508–523.
Rao, H. S., and Bree, D. W., Jr. (1977). “Extended period simulation of water systems—Part A.” J. Hydr. Div. 103(2), 97–108.
Rao, H. S., Markel, L. C., and Bree, D. W., Jr. (1977). “Extended period simulation of water systems—Part B.” J. Hydr. Div., 103(3), 281–294.
Rossman, L. A. (1999). “Computer models/EPANET.” Water distribution systems handbook, L. W. Mays, ed., McGraw-Hill, New York.
Rossman, L. A. (2000). EPANET 2 users manual, Environmental Protection Agency, Risk Reduction Engineering Laboratory, Cincinnati.
Shimada, M. (1988). “Time-marching approach for pipe steady flows.” J. Hydraul. Eng., 114(11), 1301–1320.
Simpson, A. R. (1999). “Modeling of pressure regulating device: The last major problem to be solved in hydraulic simulation.” Proc., 26th Annual Water Resources Planning and Management Conf., WRPMD'99—Preparing for the 21st Century (CD-ROM), ASCE, Reston, Va.
Ulanicka, K., Ulanicki, B., Rance, J. P., and Coulbeck, B. (1998). “Benchmarks for water networks modelling.” Proc., Hydroinformatics ’98, Int. Association for Hydraulic Research, Rotterdam, The Netherlands, 1469–1476.
Walski, T., Chase, D., Savic, D., Grayman, W., Beckwith, S., and Koelle, E. (2003). Advanced water distribution modeling and management, Haestad Press, Waterbury, Conn.
Wu, Z. Y., Wang, R. H., Walski, T. M., Yang, S. Y., Bowdler, D., and Baggett, C. C. (2006). “Efficient pressure dependent demand model for large water distribution system analysis.” Proc., 8th Annual Water Distribution Systems Analysis Symp., Cincinnati, ⟨ftp://ftp2.bentley.com⟩ (Dec. 5, 2007).

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 10October 2008
Pages: 1473 - 1479

History

Received: Feb 15, 2007
Accepted: Mar 7, 2008
Published online: Oct 1, 2008
Published in print: Oct 2008

Permissions

Request permissions for this article.

Authors

Affiliations

Rogelio Álvarez
Project Director, Sistemas y Procesos, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico.
Nikolai B. Gorev
Senior Researcher, Dept. for Functional Elements of Control Systems, Institute of Technical Mechanics, 15 Leshko-Popel St., Dnepropetrovsk 49005, Ukraine. E-mail: [email protected]
Inna F. Kodzhespirova
Senior Researcher, Dept. for Functional Elements of Control Systems, Institute of Technical Mechanics, 15 Leshko-Popel St., Dnepropetrovsk 49005, Ukraine.
Yuriy Kovalenko
Project Leader, Sistemas y Procesos, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico. E-mail: [email protected]
Salvador Negrete
Project Manager, MetrikLAB Int. Blvd. del Centro 417, Prados de Vhsa., Villahermosa, Tab. 86030, Mexico.
Alfredo Ramos
Business Associate Director, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico.
José J. Rivera
Project Manager, Sistemas de Control, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share