Exact analytical solutions of multiconductor transmission line equations

2021 ◽  
Author(s):  
Petr I. Nogovitsyn ◽  
Yuri M. Grigor’ev
Keyword(s):  
Transmission Line ◽  
Analytical Solutions ◽  
Exact Analytical Solutions ◽  
Multiconductor Transmission Line

A Vector Impedance Meter Method to Characterize Multiconductor Transmission-Line Parameters

2010 ◽  
Vol 52 (4) ◽  
pp. 1019-1025 ◽  
Author(s):  
Jos Knockaert ◽  
Joan Peuteman ◽  
Johan Catrysse ◽  
Ronnie Belmans
Keyword(s):  
Transmission Line ◽  
Multiconductor Transmission Line ◽  
Impedance Meter

Galloping Vibration of Nonlinear Cables Through a Two Degree-of-Freedom Oscillator

2016 ◽  
Author(s):  
Albert C. J. Luo ◽  
Bo Yu
Keyword(s):  
Transmission Line ◽  
Analytical Solutions ◽  
Transmission Lines ◽  
Nonlinear Oscillator ◽  
Numerical Solutions ◽  
Degree Of Freedom ◽  
Periodic Motions ◽  
Stability And Bifurcation ◽  
Two Degree Of Freedom

In this paper, galloping vibrations of a lightly iced transmission line are investigated through a two-degree-of-freedom (2-DOF) nonlinear oscillator. The 2-DOF nonlinear oscillator is used to describe the transverse and torsional motions of the galloping cables. The analytical solutions of periodic motions of galloping cables are presented through generalized harmonic balanced method. The analytical solutions of periodic motions for the galloping cable are compared with the numerical solutions, and the corresponding stability and bifurcation of periodic motions are analyzed by the eigenvalues analysis. To demonstrate the accuracy of the analytical solutions of periodic motions, the harmonic amplitudes are presented. This investigation will help one better understand galloping mechanism of iced transmission lines.

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