%0 Journal Article %T Derivation of a transfer function model for a high pressure pipeline %A P. Lopes dos Santos %A T-P Azevedo PerdicošČlis %A J. A. Ramos %A G. Jank %A J. L. Martins de Carvalho %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1003.5493v1