TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Baldin, Anton
A1  - Clees, Tanja
A1  - Klaassen, Bernhard
A1  - Nikitin, Igor
A1  - Nikitina, Lialia
T1  - Topological Reduction of Stationary Network Problems: Example of Gas Transport
JF  - International Journal on Advances in Systems and Measurements
N2  - 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.
KW  - globally convergent solvers
KW  - gas transport networks
KW  - modeling of complex systems
KW  - Topological reduction
KW  - applications
UR  - https://www.thinkmind.org/index.php?view=article&articleid=sysmea_v13_n12_2020_8
SN  - 1942-261X
SS  - 1942-261X
VL  - 13
IS  - 1&2
SP  - 83
EP  - 93
S1  - 11
PB  - IARIA
ER  -