A method for computing electrical transients of transmission lines by numerical laplace transform

1986 ◽  
Vol 69 (2) ◽  
pp. 28-37 ◽  
Author(s):  
Kohshi Okumura ◽  
Akira Kishima ◽  
Setsuo Tokoro
Keyword(s):  
Laplace Transform ◽  
Transmission Lines ◽  
Numerical Laplace Transform ◽  
Electrical Transients

scholarly journals Computation of Transient Profiles along Nonuniform Transmission Lines Including Time-Varying and Nonlinear Elements Using the Numerical Laplace Transform

Energies ◽  
2019 ◽  
Vol 12 (17) ◽  
pp. 3227 ◽  
Author(s):  
Nuricumbo-Guillén ◽  
Cortés ◽  
Gómez ◽  
Martínez
Keyword(s):  
Laplace Transform ◽  
Transmission Line ◽  
Frequency Domain ◽  
Transmission Lines ◽  
Negative Impact ◽  
Electromagnetic Transients ◽  
Frequency Domain Method ◽  
Time Varying ◽  
Electrical Transmission ◽  
Numerical Laplace Transform

Electromagnetic transients are responsible for overvoltages and overcurrents that can have a negative impact on the insulating elements of the electrical transmission system. In order to reduce the damage caused by these phenomena, it is essential to accurately simulate the effect of transients along transmission lines. Nonuniformities of transmission line parameters can affect the magnitude of voltage transients, thus it is important to include such nonuniformities correctly. In this paper, a frequency domain method to compute transient voltage and current profiles along nonuniform multiconductor transmission lines is described, including the effect of time-varying and nonlinear elements. The model described here utilizes the cascade connection of chain matrices in order to take into consideration the nonuniformities along the line. This technique incorporates the change of parameters along the line by subdividing the transmission line into several line segments, where each one can have different electrical parameters. The proposed method can include the effect of time-dependent elements by means of the principle of superposition. The numerical Laplace transform is applied to the frequency-domain solution in order to transform it to the corresponding time-domain response. The results obtained with the proposed method were validated by means of comparisons with results computed with ATP (Alternative Transients Program) simulations, presenting a high level of agreement.

Approximate Laplace Transform Inversion in Dynamic Viscoelasticity

1980 ◽  
Vol 47 (4) ◽  
pp. 769-774 ◽  
Author(s):  
S. R. Swanson
Keyword(s):  
Wave Propagation ◽  
Laplace Transform ◽  
Material Property ◽  
Linear Viscoelasticity ◽  
Dynamic Viscoelasticity ◽  
Inversion Methods ◽  
Laplace Transform Inversion ◽  
Inversion Techniques ◽  
Numerical Laplace Transform

Laplace transform techniques greatly simplify many problems in linear viscoelasticity. However, if realistic material property representations are used, inversion of the resulting transforms can be difficult. Although approximate transform inversion methods have been widely used in quasi-static viscoelastic problems, the application of these techniques to wave propagation problems has been less successful. Inaccuracy of the transform inversion has been noted previously in the literature. The present work shows that one of the numerical Laplace transform inversion techniques of Bellman can successfully be applied to dynamic viscoelasticity. Comparisons with literature solutions and exact functions indicate accuracies to within ±1 percent can be obtained.

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