Home // International Journal On Advances in Systems and Measurements, volume 13, numbers 1 and 2, 2020 // View article

Topological Reduction of Stationary Network Problems: Example of Gas Transport

Authors:
Anton Baldin
Tanja Clees
Bernhard Klaassen
Igor Nikitin
Lialia Nikitina

Keywords: modeling of complex systems; topological reduction; globally convergent solvers; applications; gas transport networks

Abstract:
The general method of topological reduction for the network problems is presented on example of gas transport networks. The method is based on a contraction of series, parallel and tree-like subgraphs for the element equations of quadratic, power law and general monotone dependencies. The method allows to reduce significantly the complexity of the graph and to accelerate the solution procedure for stationary network problems. The method has been tested on a large set of realistic network scenarios. Possible extensions of the method have been described, including triangulated element equations, continuation of the equations at infinity, providing uniqueness of solution, a choice of Newtonian stabilizer for nearly degenerated systems. The method is applicable for various sectors in the field of energetics, including gas networks, water networks, electric networks, as well as for coupling of different sectors.

Pages: 83 to 93

Copyright: Copyright (c) to authors, 2020. Used with permission.

Publication date: June 30, 2020

Published in: journal

ISSN: 1942-261x