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Type: Journal article
Title: Frequency-domain modeling of transients in pipe networks with compound nodes using a Laplace-domain admittance matrix
Author: Zecchin, A.
Lambert, M.
Simpson, A.
White, L.
Citation: Journal of Hydraulic Engineering, 2010; 136(10):739-755
Publisher: ASCE-Amer Soc Civil Engineers
Issue Date: 2010
ISSN: 0733-9429
Statement of
Aaron C. Zecchin, Martin F. Lambert, Angus R. Simpson, and Langford B. White
Abstract: An alternative to modeling the transient behavior of pipeline systems in the time domain is to model these systems in the frequency domain using Laplace transform techniques. A limitation with traditional frequency-domain pipeline models is that they are only able to deal with systems of a limited class of configuration. Despite the development of a number of recent Laplace-domain network models for arbitrarily configured systems, the current formulations are designed for systems comprised only of pipes and simple node types such as reservoirs and junctions. This paper presents a significant generalization of existing network models by proposing a framework that allows not only complete flexibility with regard to the topological structure of a network, but also, encompasses nodes with dynamic components of a more general class (such as air vessels, valves, and capacitance elements). This generalization is achieved through a novel decomposition of the nodal dynamics for inclusion into a Laplace-domain network admittance matrix. A symbolic example is given demonstrating the development of the network admittance matrix and numerical examples are given comparing the proposed method to the method of characteristics for 11-pipe and 51-pipe networks.
Keywords: Hydraulic transients
Pipeline networks
Laplace domain
Frequency domain
Rights: © ASCE 2010
DOI: 10.1061/(ASCE)HY.1943-7900.0000248
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Appears in Collections:Aurora harvest 2
Civil and Environmental Engineering publications
Environment Institute publications

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