Numerical Solution for a Wave Equation Arising in Oscillations of Overhead Transmission Lines

Select Volume / Issue:

• Volume 4 Issue 2, March, 2016

Year:

2016

Type of Publication:

Article

Keywords:

Wave Equation, Boundary Damping, Characteristics Curves, Richardson Extrapolation

Authors:

Bendise Huti; Lulezim Hanelli

Journal:

IJISM

Volume:

4

Number:

2

Pages:

91-97

Month:

March

ISSN:

2347-9051

Abstract:

Numerical solution is developed for a wave equation with boundary damping arising in the study of the physical phenomena of the oscillations that occur in overhead power transmission lines. The physical model is that of a string which is fixed at one end and the other end is attached to a dashpot system, where the damping generated by the dashpot is small. The mathematical model is an initial-boundary value problem for a weekly nonlinear hyperbolic differential equation with non-classical boundary conditions. The method of the characteristics in combination with Richardson extrapolation will be used to solve the problem. The numerical method proposed takes advantage of the special mesh generated by the characteristic curves of the equations to be solved and the specialty of the initial-boundary conditions involved. Numerical results are presented in this paper.

Full text: IJISM_533_Final.pdf [Bibtex]