access icon free Modelling of non-uniform lines using rational approximation and mode revealing transformation

© The Institution of Engineering and Technology
Received 20/10/2016, Accepted 31/03/2017, Revised 23/03/2017, Published 21/04/2017

The authors present a methodology to improve the rational modelling of non-uniform lines (NuLs). First, they formulate a segmented chain matrix representation of the NuL, which is converted into a nodal admittance formulation with respect to the two line ends. The admittance matrix is fitted with rational functions while utilising the so-called chain matrix in combination with a mode revealing transformation matrix, to improve the identification of poorly observable modes and poles. The procedure is demonstrated for a case of a very wide river crossing where the transmission towers are over 300 m high. The results compare favourably with the ones obtained using a numerical Laplace transform.

Inspec keywords: electric admittance; approximation theory; Laplace transforms; power overhead lines; poles and towers; transmission line matrix methods

Other keywords: nonuniform line modelling; nodal admittance formulation; rational modelling improvement; rational approximation; pole identification improvement; transmission towers; poorly observable mode identification; rational functions; NuL modelling; admittance matrix; segmented chain matrix representation; mode revealing transformation matrix; numerical Laplace transform

Subjects: Interpolation and function approximation (numerical analysis); Network and transmission line calculations; Power line supports, insulators and connectors; Linear algebra (numerical analysis); Integral transforms in numerical analysis; Overhead power lines

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