A Method for the Evaluation of Cooray–Rubinstein Formula Based on Talbot's Method for Numerical Inverse Laplace Transform

Liu, Xin; Zhang, Mengmeng; Wang, Pai; Niu, Shengsuo

doi:10.1109/temc.2019.2914177

Cited by 2 publications

(1 citation statement)

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“…FILT is a numerical method for computing the inverse Laplace transform, and it computes the transient response with controlled accuracy. Compared with other numerical inverse Laplace transform methods, this algorithm determines the sampling points in the complex frequency domain [12], [13], [14], [15], [16], [17], [18], [19]. By utilizing the Euler transformation, it is possible to reduce the number of calculations.…”

Section: Introductionmentioning

confidence: 99%

Computational Method for Specific Energy Loss by Fast Inverse Laplace Transform

Kishimoto

Ohnuki

2023

IEEE Access

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This study proposes a novel computational technique for specific energy loss for pulse incidence. Our method is based on a fast inverse Laplace transform (FILT) with an electromagnetic field solver in the complex frequency domain. Using the FILT algorithm, the specific energy loss in the complex frequency domain can be computed and transformed into the time domain. In our method, the specific energy loss can be computed until the desired observation time without solving the electromagnetic field at the previous observation time. The finite-difference complex-frequency domain (FDCFD) was used for the complex frequency domain solver. The results demonstrated that our proposed method could compute the dissipated energy of inhomogeneous, non-dispersive lossy dielectrics.INDEX TERMS Complex frequency domain, convolution integral, fast inverse Laplace transform, specific energy, time-domain solver.

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Section: Introductionmentioning

confidence: 99%

Computational Method for Specific Energy Loss by Fast Inverse Laplace Transform

Kishimoto

Ohnuki

2023

IEEE Access

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Lightning Electromagnetic Fields Computation: A Review of the Available Approaches

et al. 2023

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Lightning represents one of the most critical issues for electrical infrastructure. In dealing with overhead distribution line systems, indirect lightning strikes can lead to induced voltages overcoming the critical flashover value of the line, thus damaging the insulators. The computation of lightning-induced voltages requires the modeling of the lightning current, the evaluation of the lightning electromagnetic fields and the solution of the field-to-line coupling equations. The numerical calculation of the lightning electromagnetic fields is time-consuming and is strongly dependent on the lightning channel modeling and soil properties. This article presents a review of the most widely adopted methods to calculate the lightning electromagnetic fields, starting from the classical formulation, which requires numerical integration, and highlighting the most effective approaches that have been developed to reduce computational effort. This is done first for the case of a perfectly conducting ground, then the available formulations to account for the ground finite conductivity are presented together with their possible implementations in both the frequency and time domains.

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A Method for the Evaluation of Cooray–Rubinstein Formula Based on Talbot's Method for Numerical Inverse Laplace Transform

Cited by 2 publications

References 29 publications

Computational Method for Specific Energy Loss by Fast Inverse Laplace Transform

Computational Method for Specific Energy Loss by Fast Inverse Laplace Transform

Lightning Electromagnetic Fields Computation: A Review of the Available Approaches

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