Applying the equivalent pi circuit to the modeling of hydraulic pressurized lines

Pressurized lines, such as water pipelines and hydraulic brake lines, are used for many applications across different industries. Various models focusing on the dynamic pressure behavior of such lines have been developed; however, some representations are either inadequate or difficult to implement. In this paper, existing pressurized line models are first reviewed and a comparison of the relative accuracy among different representations is provided. Moreover, the equivalent pi circuit model developed in electric power engineering is applied to provide an exact representation of a distributed parameter pressurized line. This exact model is compared to multi-lump representations, and its use is demonstrated using examples.