Original scientific paper
Modelling of the Pipeline as a Lumped Parameter System
Drago Matko
Gerhard Geiger
Thomas Werner
Abstract
The paper deals with the simplification of pipeline models. A nonlinear distributed parameters model is linearised and its transfer function given. The pipeline is represented as a two-port system. Two causal representations – the hybrid ones which are used in practice – are studied further. They involve three different transcendent transfer functions which are then approximated by rational transfer functions using a Taylor series expansion. The derived models are valid for low frequencies and are used to discuss how to obtain better approximation. They equalise the high frequency gain of the transcendent and rational transfer functions and employ a Padé approximation. Due to the approximation of the high frequency gain, the derived models are only valid for a class of models – namely – well damped pipelines. The derived models which describe the pipeline as a lumped parameter system were verified on a real pipeline using experiment data.
Keywords
modelling; model approximation; distributed-parameter system; lumped-parameter system; pipelines
Hrčak ID:
6629
URI
Publication date:
21.12.2001.
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