Analysis of Lossy Multiconductor Transmission Lines (MTL) Using Adaptive Cross Approximation (ACA)
Keywords:
Adaptive cross approximation, attenuation constant, characteristic impedance, integral equation, losses in multiconductor transmission line (MTL), propagation constantAbstract
In this article, an efficient adaptive cross approximation (ACA) algorithm is employed for the lossy of MTL such as propagation matrix, attenuation loss, dielectric loss and characteristic impedance are evaluated. ACA solver is stable and convenient to solve the compression and approximation of low-rank matrix because adaptive refinement is used to generate the optimal mesh. The integral equation (IE) solver along with adaptive cross approximation (ACA) is used to reduce the computational time and memory size. In the proposed algorithm, the complexities become linear. Therefore, the ACA provides less memory size and less computation cost. The results are compared with the latest state of the art existing work for validation.
Downloads
References
Y. Zhao and Y. Y. Wang, “A new finite-element solution for parameter extraction of multilayer and multiconductor interconnects,” IEEE Microwave and Guided Wave Letters, vol. 7, no. 6, pp. 156- 158, 1997.
D. Topchishvili, R. Jobava, F. Bogdanov, B. Chikhradze, and S. Frei, “A hybrid MTL/MOM approach for investigation of radiation problems in EMC,” In Proceedings of the 9th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, pp. 65-68, Oct. 2004.
J. M. Jin, .The Finite Element Method in Electromagnetics. John Wiley & Sons, 2015.
Y. Zhao, K. Y. See, S. J. Li, N. Q. Jiang, Q. Wang, Y. Cao, and X. H. Wu, “Current probe method applied in conductive electromagnetic compatibility (EMC),” International Conference on Microwave and Millimeter Wave Technology, vol. 3, pp. 1442- 1445, Apr. 2008.
W. C . Chew, E. Michielssen, J. M. Song, and J. M. Jin, Fast and Efficient Algorithms in Computational Electromagnetics. Artech House, Inc., 2001.
C. R. Paul, Analysis of Multiconductor Transmission Lines. John Wiley & Sons, 2008.
H. W. Gao, Z. Peng, and X. Q. Sheng, “A coarsegrained integral equation method for multiscale electromagnetic analysis,” IEEE Transactions on Antennas and Propagation, vol. 66, no. 3, pp. 1607-1612.
P. Li and L. J. Jiang, “A rigorous approach for the radiated emission characterization based on the spherical magnetic field scanning,” IEEE Transactions on Electromagnetic Compatibility, vol. 56, no. 3, pp. 683-690, 2014.
A. Mahmoud, S. Kahourzade, and R. K. Lalwani, “Computation of cable ampacity by finite element method under voluntary conditions,” Australian Journal of Basic and Applied Sciences, vol. 5, no. 5, pp. 135-146, 2011.
F. S. H. Lori, M. S. Hosen, A. Menshov, M. Shafieipour, and V. Okhmatovski, “Accurate transmission lines characterization via higher order moment method solution of novel single-source integral equation,” In 2017 IEEE MTT-S International Microwave Symposium (IMS), pp. 694-696, June 2017.
C. Jiao, Z. Xia, and W. N. Fu, “A generalized multiconductor transmission line model and optimized method for the solution of the MTL equations,” International Journal of Antennas and Propagation, 2012.
A. J. Gruodis and C. S. Chang, “Coupled lossy transmission line characterization and simulation,” IBM Journal of Research and Development, vol. 25, no. 1, pp. 25-41, 1981.
M. Saih, H. Rouijaa, and A. Ghammaz, “Computation of multiconductor transmission line capacitance using method of moment,” In IEEE Proceedings of 2014 Mediterranean Microwave Symposium (MMS2014), pp. 1-6, Dec. 2014.
G. Schmidlin, U. Fischer, Z. Andjelič, and C. Schwab, “Preconditioning of the second‐kind boundary integral equations for 3D eddy current problems,” International Journal for Numerical Methods in Engineering, vol. 51, no. 9, pp. 1009- 1031, 2001.
S. Chabane, P. Besnier, and M. Klingler, “Enhanced transmission line theory: Frequency-dependent line parameters and their insertion in a classical transmission line equation solver,” In IEEE International Symposium on Electromagnetic Compatibility, pp. 326-331, Sep. 2013.
R. F. Harrington, Field Computation by Moment Methods. Wiley-IEEE Press, 1993.
M. Bebendorf, “Approximation of boundary element matrices,” Numerische Mathematik, vol. 86, no. 4, pp. 565-589, 2000.
J. M. Rius, J. Parron, A. Heldring, J. M. Tamayo, and E. Ubeda, “Fast iterative solution of integral equations with method of moments and matrix decomposition algorithm–singular value decomposition,” IEEE Transactions on Antennas and Propagation, vol. 56, no. 8, pp. 2314-2324, 2008.
M. Bebendorf and S. Kunis, “Recompression techniques for adaptive cross approximation,” The Journal of Integral Equations and Applications, pp. 331-357, 2009.
S. Kurz, O. Rain, and S. Rjasanow, “The adaptive cross-approximation technique for the 3D boundary-element method,” IEEE Transactions on Magnetics, vol. 38, no. 2, pp. 421-424, 2002.
A. Heldring, J. M. Rius, J. M. Tamayo, J. Parrón, and E. Ubeda, “Multiscale compressed block decomposition for fast direct solution of method of moments linear system,” IEEE Transactions on Antennas and Propagation, vol. 59, no. 2, pp. 526- 536, 2010.
H. Zhao, Y. Zhang, J. Hu, and E. P. Li, “Iterationfree-phase retrieval for directive radiators using field amplitudes on two closely separated observation planes,” IEEE Transactions on Electromagnetic Compatibility, vol. 58, no. 2, pp. 607- 610, 2016.
M. Bebendorf and S. Rjasanow, “Adaptive lowrank approximation of collocation matrices,” Computing, vol. 70, no. 1, pp. 1-24, 2003.
https://www.mouser.com/ds/2/90/gh40006p87636 7.pdf
ANSYS, High Frequency Structure Simulation (HFSS), ver. 18, SAS IP, USA, 2018.
N. Ranjkesh, M. Shahabadi, and D. Busuioc, “Effect of dielectric losses on the propagation characteristics of the substrate integrated waveguide,” Asia-Pacific Microwave Conference Proceedings, IEEE, vol. 3, Dec. 2005.