TY - GEN
A1 - Fügenschuh, Armin
A1 - Humpola, Jesco
T1 - A Unified View on Relaxations for a Nonlinear Network Flow Problem
N2 - We consider a nonlinear nonconvex network flow problem that arises, for example, in natural gas or water transmission networks. Given is such network with active and passive components, that is, valves, compressors, pressure regulators (active) and pipelines (passive), and a desired amount of flow at certain specified entry and exit nodes of the network. Besides flow conservation constraints in the nodes the flow must fulfill nonlinear nonconvex pressure loss constraints on the arcs subject to potential values (i.e., pressure levels) in both end nodes of each arc. The problem is how to numerically compute this flow and pressures. We review an existing approach of Maugis (1977) and extend it to the case of networks with active elements (for example, compressors). We further examine different ways of relaxations for the nonlinear network flow model. We compare different approaches based on nonlinear optimization numerically on a set of test instances.
T3 - ZIB-Report - 13-31
KW - Nonlinear Network Flow
KW - Mixed-Integer Nonlinear Programming
KW - Relaxations
Y1 - 2013
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/1885
UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-18857
ER -