Electromagnetic Transients in a Line-Transformer Cascade by a Numerical Laplace Transform Technique

1985 ◽  
Vol PER-5 (10) ◽  
pp. 51-51 ◽  
Author(s):  
Mohamed Mostafa Saied ◽  
Abdullah Al-Fuhaid
Keyword(s):  
Laplace Transform ◽  
Electromagnetic Transients ◽  
Laplace Transform Technique ◽  
Numerical Laplace Transform

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.

scholarly journals Quadrature Integration Techniques for Random Hyperbolic PDE Problems

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 160
Author(s):  
Rafael Company ◽  
Vera N. Egorova ◽  
Lucas Jódar
Keyword(s):  
Numerical Methods ◽  
Laplace Transform ◽  
Quadrature Rule ◽  
Inverse Laplace Transform ◽  
Process Time ◽  
Efficient Computation ◽  
Hyperbolic Pde ◽  
Numerical Convergence ◽  
Laplace Transform Technique ◽  
Integration Techniques

In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also its statistical moments. Hence, appropriate numerical methods should allow for the efficient computation of the expectation and variance. Here, we analyse different numerical methods around the inverse Laplace transform and its evaluation by using several integration techniques, including midpoint quadrature rule, Gauss–Laguerre quadrature and its extensions, and the Talbot algorithm. Simulations, numerical convergence, and computational process time with experiments are shown.

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