Generalized Impedance-based Transient Analysis for Multi-branched Pipeline Systems

Abstract

Transient analysis of multi-branched pipeline systems is generalized by the development of an impedance method. Both open and closed boundaries of branched pipeline elements were implemented in the analytical development of a reservoir multi-branched pipeline valve system, in which impedance and transient responses performance were compared with those of conventional approaches. To address realistic boundary conditions along the branched element, a partially opened boundary condition was implemented in the impedance expression of the branched pipeline system. The performance of the generalized multi-branch impedance method was evaluated on a large water supply system with 10 minor branches from the actual system. The impact of the designated branches was evaluated using the pressure root-mean-square error (RMSE) and the energy spectral density difference between the original and skeletonized systems. Combinations of multiple branches for certain flow conditions were identified based on the holistic response for both the frequency and time domains. The proposed method can be a useful alternative to effectively address the skeletonization issue for pipeline systems with multi-branched elements.