TY - GEN
T1 - A simplified hybrid method for calculating the frequency-dependent inductances of transmission lines with rectangular cross section
AU - Fang, Shuzhou
AU - Tang, Xiaobo
AU - Wang, Zeyi
AU - Hong, Xianlong
PY - 2000
Y1 - 2000
N2 - This paper describes a simpfified hybrid method to calculate the frequency-dependent inductances of transmission lines, which combines cross-section coupled circuit method with boundary element method (BEM) just solving Laplace's equation. The coupled circuit method is used to calculate inductance in low frequency range; The BEM builds the capacitance matrix, then we invert this matrix (omit the row and column relate to ground plane), we can obtain inductance relating to the high frequency at which the current only distributes on surfaces of conductor. A cubic spline interpolation between inductance at low and very high frequency gives a good result over entire frequency range. Comparing this method with previous hybrid method [3], it avoids solving Helmholtz's equation and obtains the capacitance matrix at the same time, greatly reducing the total burden of calculation. Numerical tests show it is appficable and efficient.
AB - This paper describes a simpfified hybrid method to calculate the frequency-dependent inductances of transmission lines, which combines cross-section coupled circuit method with boundary element method (BEM) just solving Laplace's equation. The coupled circuit method is used to calculate inductance in low frequency range; The BEM builds the capacitance matrix, then we invert this matrix (omit the row and column relate to ground plane), we can obtain inductance relating to the high frequency at which the current only distributes on surfaces of conductor. A cubic spline interpolation between inductance at low and very high frequency gives a good result over entire frequency range. Comparing this method with previous hybrid method [3], it avoids solving Helmholtz's equation and obtains the capacitance matrix at the same time, greatly reducing the total burden of calculation. Numerical tests show it is appficable and efficient.
UR - http://www.scopus.com/inward/record.url?scp=0005461693&partnerID=8YFLogxK
U2 - 10.1145/368434.368745
DO - 10.1145/368434.368745
M3 - Conference contribution
AN - SCOPUS:0005461693
SN - 0780359747
SN - 9780780359741
T3 - Proceedings of the Asia and South Pacific Design Automation Conference, ASP-DAC
SP - 453
EP - 456
BT - Proceedings of the 2000 Asia and South Pacific Design Automation Conference, ASP-DAC 2000
T2 - 2000 Asia and South Pacific Design Automation Conference, ASP-DAC 2000
Y2 - 25 January 2000 through 28 January 2000
ER -