Multiconductor Reduction Method for Modeling Crosstalk of Complex Cable Bundles in the Vicinity of a 60 Degree Corner

Abstract

Abstract-This paper presents a multiconductor reduction method for modeling electromagnetic crosstalk of complex cable bundles in the vicinity of a 60 degree corner. Based on the image theory and wide separation assumption, the per-unit-length parameters of the cable bundle can be obtained analytically. A modified six-step procedure is established to define the electrical and geometrical characteristics of the reduced cable bundle model compared with the original equivalent cable bundle method (ECBM). Numerical simulations are performed to demonstrate the viability and effectiveness of the method. This work can find wide applications in real environments.

Application of the "Equivalent Cable Bundle Method" for Modeling Crosstalk of Complex Cable Bundles Within Uniform Structure With Arbitrary Cross-Section

“…3(b) and the p.u.l. reduced matrices calculated by the ECBM shown as (7) and (8). Consequently, a second-order optimization result with a mean difference of 0.8% and 10.4% respectively for the [L reduced ] and [C reduced ] matrices is obtained in this paper [14].…”

“…In this section, compared with previous papers [1][2][3][4][5][6][7][8][9], the differences and also the challenging points of the proposed method are the grouping of conductors and the building of the cross-section geometry of the reduced cable bundle model, which are detailed in the following paragraph. As far as the EM crosstalk is concerned, the approximate assumptions including a) all conductors are PEC and the surrounded medium is lossless, b) only transverse electromagnetic (TEM) mode is considered.…”

“…parameter matrices [L reduced ] (in nanohenry/meter) and capacitance [C reduced ] (in picofarad/meter) of the reduced cable bundle can be obtained as (7) and (8). 974 455 536 380 316 235 194 1451 584 449 405 294 234 1514 494 475 332 262 863 440 330 267 723 459 358 821 533 1410…”

“…In [6], it was adopted to predict the crosstalk of a cable bundle within a cylindrical cavity which is considered as the ground return. Then it was further studied and applied for predicting electromagnetic compatibility issues of complex cable bundle terminated in arbitrary loads [7] or in the vicinity of a 60 degree corner [8] and also adapted to model the crosstalk of multicoaxial cable bundles [9].…”

“…Up to now, the establishment of the reduced cable bundle cross-section geometry only can be implemented either above an infinite PEC ground plane [2][3][4][5], inside a cylindrical cavity [6] or in the vicinity of a 60 degree corner [8] through the analytical formulas. However, no analytical formulas are available for direct reconstruction of the reduced cable bundle cross-section geometry model within arbitrary complex structures as Fig.…”