On Advanced Modeling of Compressors and Weighted Mix Iteration for Simulation of Gas Transport Networks

In this paper, the modeling of gas compressors with detailed representation of their calibrated characteristics is considered. A method is developed for transforming the characteristics from the space of calibration data to the space of transport variables in which the network problem is actually solved. This transformation satisfies the general stability conditions necessary for the convergence of Newtonian iterations in solving large scale network problems. In addition, a stabilization method of weighted relaxation for mixing iterations is presented, used to find the detailed gas composition. The tests on a large number of realistic gas networks demonstrate nearly 100% convergence of the methods.