Optimal structure of gas transmission trunklines

J. Frederic Bonnans 1, 2 Jean André 3
2 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : In this paper, we consider the optimal design of a straight pipeline system. Suppose a gas pipeline is to be designed to transport a specified flowrate from the entry point to the gas demand point. Physical and contractual requirements at supply and delivery nodes are known as well as the costs to buy and lay a pipeline or build a compressor station. In order to minimize the overall cost of creation of this mainline, the following design variables need to be determined: the number of compressor stations, the lengths of pipeline segments between compressor stations, the diameters of the pipeline segments, the suction and discharge pressures at each compressor station. To facilitate the calculation of the design of a pipeline, gas engineers proposed, in several handbooks, to base their cost-assessments on some optimal properties from previous experiences and usual engineering practices: the distance between compressors is constant, all diameters are equal, and all inlet (resp. outlet) pressures are equal. The goals of this paper are (1) to state on which assumptions we can consider that the optimal properties are valid and (2) to propose a rigorous proof of the optimal properties (based on nonlinear programming optimality conditions) within a more general framework than before.
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Article dans une revue
Optimization and Engineering, Springer Verlag, 2011, 12 (1), pp.175-198
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Soumis le : mercredi 7 janvier 2009 - 09:11:25
Dernière modification le : jeudi 10 mai 2018 - 02:05:42
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  • HAL Id : inria-00350522, version 1


J. Frederic Bonnans, Jean André. Optimal structure of gas transmission trunklines. Optimization and Engineering, Springer Verlag, 2011, 12 (1), pp.175-198. 〈inria-00350522〉



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