Modeling and Sensitivity Analysis of Compressor Stations in Gas Transport Simulations

This paper describes the mathematical modeling of compressors used in gas transport networks. Compressors of various types (piston, generic, turbo), different levels of modeling (free, advanced), as well as their combinations into compressor stations (serial, parallel) are considered. Particular attention is paid to the questions of global convergence and stability of the result to the variations of starting point and other parameters of the solution procedure. Sensitivity Analysis and Principal Component Analysis for stationary gas transport problems are considered. A number of numerical experiments on realistic scenarios confirm the conclusions of the theoretical analysis.