Algebraic parameter identification for infinite dimensional fluid transmission line models

Abstract

This article addresses the problem of parameter identification in fluid transmission lines. The recently developed algebraic approach to parameter identification in linear distributed parameter systems is applied to three different transmission line models: the inviscid model, the linear friction model, and the frequency-dependent friction model. The main idea is to derive exact equations for parameter identification based on the infinite dimensional system models using only spatially concentrated measurements. To this end, the transmission line models are subjected to several transformation steps including the Laplace transform. Using further algebraic manipulations, equations are derived, which allow for the calculation of system parameters. The identification method presented is illustrated by means of numerical simulations covering two different scenarios of pressure and flow rate measurements taken at the boundaries of a pipeline.