Modified Numerical Inversion of Laplace Transform Methods for the Time-Domain Analysis of Retarded Partial Elements Equivalent Circuit Models

A Comparative Analysis of Numerical Inverse Laplace Transform Methods for Electromagnetic Transient Analysis

“…11 shows the receiver voltage response assuming 1 k termination for the two ports, where it is evident that the transient is more time-limited compared to the previous case. In this case, employing NILT2 with order M = 4 (two series terms) ensures a very good accuracy over the entire time window, while for FILT the same accuracy is reached considering K = 10 and p = 5 in (22) for a total of 15 series terms. Hence, in this case, employing the NILT technique is more convenient in terms of computational efforts since a smaller number of system evaluations on the complex plane is sufficient to represent the response for each time sample compared to the FILT method.…”

“…In the FILT series, with reference to (22), the K and p parameters have been set as K = 20 and p = 8. For the choice of parameter α, the adaptive criterion (28) has been adopted.…”

“…It has received a renewed interest more recently thanks to some improvements [19], [20] that have been proposed to overcome its limitations. Furthermore, it has been adopted in the framework of the PEEC method [14] thus making it possible to use NILT to solve general 3-D EM problems [21], [22], [23].…”

The Partial Elements Equivalent Circuit Method: The State of the Art

“…Subsequently, in [180], the modified NILTn has been successfully employed for retarded PEEC models showing accuracy improvements and reduced computational costs.…”