The Use of Modal Analysis Concepts in the Simulation of Pipeline Transients

Abstract In this article, the bond graph technique is used to build up a finite-order representation of a hydraulic network whose distributed character is inherent to the system. In a first step, the network model is set from the bond graphs of each line, which resulted from a modal approximation. The model obtained is then reduced so as only to contain the significant modes. In such a model, friction effects which are relatively weak compared to the dynamic effects are supposed to be linear. We deal with the problems of the causalities imposed by the subsystems linked to the network, then we shall suggest a technique using pressure andflow duality and conclude with a validated example.