|
|||||
|
|
Transient Modeling of Arbitrary Pipe Networks by a Laplace-Domain Admittance Matrix |
|
| Authors: | Aaron C. Zecchin Angus R. Simpson Martin F. Lambert Langford B. White John P. Vítkovsky |
| Affiliation: | 1Postgraduate Student, School of Civil and Environmental Engineering, Univ. of Adelaide, Adelaide, Australia (corresponding author). E-mail: azecchin@civeng.adelaide.edu.au 2Professor, School of Civil and Environmental Engineering, Univ. of Adelaide, Adelaide, Australia. 3Professor, School of Electrical Engineering, Univ. of Adelaide, Adelaide, Australia. 4Graduate Hydrologist, Dept. of Natural Resources and Mines, Water Assessment Group, Indooroopilly, Queensland, Australia. |
| Abstract: | An alternative to the modeling of the transient behavior of pipeline systems in the time-domain is to model these systems in the frequency-domain using Laplace transform techniques. Despite the ability of current methods to deal with many different hydraulic element types, a limitation with almost all frequency-domain methods for pipeline networks is that they are only able to deal with systems of a certain class of configuration, namely, networks not containing second-order loops. This paper addresses this limitation by utilizing graph theoretic concepts to derive a Laplace-domain network admittance matrix relating the nodal variables of pressure and demand for a network comprised of pipes, junctions, and reservoirs. The adopted framework allows complete flexibility with regard to the topological structure of a network and, as such, it provides an extremely useful general basis for modeling the frequency-domain behavior of pipe networks. Numerical examples are given for a 7- and 51-pipe network, demonstrating the utility of the method. |
| Keywords: | Pipe networks Hydraulic transients Frequency response |