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Optimal control for networks of gas‐pipelines
Author(s) -
Dymkou Siarhei,
Leugering Guenter
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700498
Subject(s) - pipeline (software) , pipeline transport , mathematical optimization , computer science , nonlinear system , context (archaeology) , constructive , gas compressor , graph , mathematics , engineering , theoretical computer science , mechanical engineering , paleontology , physics , process (computing) , quantum mechanics , programming language , operating system , biology
We consider the optimization and control of gas‐flow in networks of pipelines. The main objective is to maximize the throughput through the pipeline from the providers to the customers by choosing proper valve‐ and release‐configurations as well as compressors in order to maintain the pressure in given bounds. This problem is considered in the context of a multistage mathematical formalization. Namely on the first stage we use the graph model in order to define the “basic regime” for the pressure and flow gas. On the second stage the detailed description of dynamic processes in gas pipeline units based on nonlinear partial hyperbolic equation which are linearized in some neighborhood of the “basic regime” defined on the first stage. In the presented paper the mathematical model and the corresponding optimization problem of gas transport networks are introduced on the basis of the constructive approach in the graph and 2‐D system setting. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)