Simulation of Transients in Natural Gas Networks via A Semi-analytical Solution Approach

10/07/2022
by   Xin Xu, et al.
0

Simulation and control of the transient flow in natural gas networks involve solving partial differential equations (PDEs). This paper proposes a semi-analytical solutions (SAS) approach for fast and accurate simulation of the natural gas transients. The region of interest is divided into a grid, and an SAS is derived for each grid cell in the form of the multivariate polynomials, of which the coefficients are identified according to the initial value and boundary value conditions. The solutions are solved in a “time-stepping” manner; that is, within one time step, the coefficients of the SAS are identified and the initial value of the next time step is evaluated. This approach achieves a much larger grid cell than the widely used finite difference method, and thus enhances the computational efficiency significantly. To further reduce the computation burden, the nonlinear terms in the model are simplified, which induces another SAS scheme that can greatly reduce the time consumption and have minor impact on accuracy. The simulation results on a single pipeline case and a 6-node network case validate the advantages of the proposed SAS approach in accuracy and computational efficiency.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/06/2017

Multirate Partial Differential Equations for the Efficient Simulation of Low-Frequency Problems with Pulsed Excitations

This paper proposes the use of Multirate Partial Differential Equations ...
research
04/13/2021

Numerical Solution and Bifurcation Analysis of Nonlinear Partial Differential Equations with Extreme Learning Machines

We address a new numerical scheme based on a class of machine learning m...
research
08/07/2023

Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks

This work extends the paradigm of evolutional deep neural networks (EDNN...
research
01/24/2022

Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks

We present a method for solving linear and nonlinear PDEs based on the v...
research
04/25/2020

Streamline-Based Simulation of Carbon Dioxide Sequestration in Saline Aquifers

Subsurface sequestration of CO2 has received attention from the global s...
research
03/22/2022

COSTARICA estimator for rollback-less systems handling in iterative co-simulation algorithms

Co-simulation is widely used in the industry due to the emergence of mod...
research
03/03/2023

Spatially-varying meshless approximation method for enhanced computational efficiency

In this paper, we address a way to reduce the total computational cost o...

Please sign up or login with your details

Forgot password? Click here to reset