Frequency-domain modeling of transients in pipe networks with compound nodes using a Laplace-domain admittance matrix
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(Accepted version)
Date
2010
Authors
Zecchin, A.
Lambert, M.
Simpson, A.
White, L.
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Journal article
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Journal of Hydraulic Engineering, 2010; 136(10):739-755
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Aaron C. Zecchin, Martin F. Lambert, Angus R. Simpson, and Langford B. White
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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.
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© ASCE 2010