Impedance Method for Multiple Reservoir Pipeline Valve Systems

Abstract

The analysis of transients in a pipeline system has been primarily studied for a reservoir pipeline valve system with a single valve maneuver. This paper introduced a method to handle transients associated with multiple generation sources in the frequency domain. The combination of multiple transients can be effectively addressed through transient analysis of the multiple reservoir pipeline valve (MPRV). The impedance method was extensively developed to effectively represent the hydraulics of the MPRV. The impedance at any location along the MPRV system was derived using the relationships of complex head and discharge along the pipeline component, common head condition, and continuity condition for the junction. Both partially or fully closed and open boundaries of the control valve were implemented into the generalized impedance formulation. Several hypothetical examples were introduced to show the validity of the developed method through simulation comparisons with the method of characteristics. The impedance method provides a new capability in the pressure signal analysis, which allows the decomposition of the pressure head, depending on the pressure generation source. The generation of transients at different times can also be feasibly addressed using the proposed method.