论文信息 - Nonlinear Optimization in Gas Networks

Nonlinear Optimization in Gas Networks

The operative planning problem in natural gas distribution networks is addressed. An optimization model focusing on the governing PDE and other nonlinear aspects is presented together with a suitable discretization for transient optimization in large networks by SQP methods. Computational results for a range of related dynamic test problems demonstrate the viability of the approach.

Marc C. Steinbach | Klaus Ehrhardt | M. Steinbach | K. Ehrhardt

[1] Zdenek Vostrý,et al. A universal dynamic simulation model of gas pipeline networks , 1984, IEEE Transactions on Systems, Man, and Cybernetics.

[2] Philip E. Gill,et al. Users Guide for SnadiOpt: A Package Adding Automatic Differentiation to Snopt , 2001, ArXiv.

[3] K. F. Pratt,et al. Optimisation of the operation of gas transmission systems , 1984 .

[4] R. Larson,et al. Optimization of tree-structured natural-gas transmission networks , 1968 .

[5] Richard G. Carter,et al. Pipeline Optimization: Dynamic Programming After 30 Years , 1998 .

[6] Günter Leugering,et al. Modelling, Stabilization, and Control of Flow in Networks of Open Channels , 2001 .

[7] E. Andrew Boyd,et al. Evaluating the Quality of Pipeline Optimization Algorithms , 1997 .

[8] Y. Smeers,et al. The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm , 2000 .

[9] Alexander Martin,et al. Cutting Planes for the Optimisation of Gas Networks , 2003, HPSC.

[10] Martin Grötschel,et al. Online optimization of large scale systems , 2001 .

[11] Michael A. Saunders,et al. SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2002, SIAM J. Optim..

[12] Mahesh Somani,et al. Compressor Station Optimization , 1998 .

[13] Dieter Rist. Dynamik realer Gase , 1996 .