Identification of transmission line parameters using algebraic methods

An algebraic approach to parameter identification for transmission lines using boundary measurements is suggested. The class of systems under consideration can be modelled by means of linear partial differential equations (p.d.e.s). It includes examples from different technological domains such as the telegrapher's equations or models for fluid transmission lines. The main idea of the approach presented is to generate a set of equations involving only boundary measurements and parameters in such a way that they can easily be interpreted in the time domain. To this end, the system's p.d.e.s are written in terms of o.d.e.s (ordinary differential equations) using Mikusiński's operational calculus. The proposed identification method is illustrated considering a fluid transmission line model with laminar flow and frequency dependent viscous friction. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)