Modelling of Gas Distribution Network using Projection Based Model Reduction Techniques

Abstract

The simulation and modelling of large scale gas pipeline networks can be described via the pressure at each node and flow through branches of the network. Components such as pipes, compressor, valves, pre-heaters, and coolers can be mathematically modeled by differential and algebraic equations. The gas equations can be represented by Isothermal Euler Equation and structure of gas network by some algebraic equations. The complete model can be written as Differential Algebraic Equations (DAEs) form using the Semi-Definite Discretization method. Often these models have large sizes that are difficult to simulate and control. The remedy to this problem is Model order reduction where we seek a reduce model such that its response is almost comparable to the original model. The approach for model reduction of gas network is to linearize the Differential Algebraic Equations (DAEs) representing the original gas network and then use optimal model reduction technique which is known in the literature.