Derivation of a transfer function model for a high pressure pipeline

Details Derivation of a transfer function model for a high pressure pipeline Derivation of a transfer function model for a high pressure pipeline

2010-03-29

arxiv.org/abs/1003.5493v1

Mathematics

Dynamical Systems

report with 41 pages, 8 figures, that contains all the proofs of a paper submitted to the CDC2010.

Scientific paper

In this report a lumped transfer function model for High Pressure Natural Gas Pipelines is derived. Starting with a partial nonlinear differential equation (PDE) model a high order continuous state space (SS) linear model is obtained using a finite difference method. Next, from the SS representation an infinite order transfer function (TF) model is calculated. In the end, this TF is approximated by a compact non-rational function.

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