## Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors

 dc.contributor.author Li, Ping dc.contributor.author Jiang, Li Jun dc.contributor.author Bagci, Hakan dc.contributor.department Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division dc.contributor.department Electrical Engineering Program dc.contributor.institution Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong. dc.date.accessioned 2017-05-31T11:23:07Z dc.date.available 2017-05-31T11:23:07Z dc.date.issued 2017-03-22 dc.date.published-online 2017-03-22 dc.date.published-print 2017-09 dc.description.abstract In this paper, a discontinuous Galerkin time-domain (DGTD) method is developed to analyze the power-ground planes taking into account the decoupling capacitors. In the presence of decoupling capacitors, the whole physical system can be split into two subsystems: 1) the field subsystem that is governed by Maxwell's equations that will be solved by the DGTD method, and 2) the circuit subsystem including the capacitor and its parasitic inductor and resistor, which is going to be characterized by the modified nodal analysis algorithm constructed circuit equations. With the aim to couple the two subsystems together, a lumped port is defined over a coaxial surface between the via barrel and the ground plane. To reach the coupling from the field to the circuit subsystem, a lumped voltage source calculated by the integration of electric field along the radial direction is introduced. On the other hand, to facilitate the coupling from the circuit to field subsystem, a lumped port current source calculated from the circuit equation is introduced, which serves as an impressed current source for the field subsystem. With these two auxiliary terms, a hybrid field-circuit matrix equation is established, which enables the field and circuit subsystems are solved in a synchronous scheme. Furthermore, the arbitrarily shaped antipads are considered by enforcing the proper wave port excitation using the magnetic surface current source derived from the antipads supported electric eigenmodes. In this way, the S-parameters corresponding to different modes can be conveniently extracted. To further improve the efficiency of the proposed algorithm in handling multiscale meshes, the local time-stepping marching scheme is applied. The proposed algorithm is verified by several representative examples. dc.description.sponsorship National Natural Science Foundation of China[61234001] dc.description.sponsorship Hong Kong UGC AoE PC04 08 dc.identifier.citation Li P, Jiang LJ, Bagci H (2017) Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors. IEEE Transactions on Components, Packaging and Manufacturing Technology: 1–10. Available: http://dx.doi.org/10.1109/TCPMT.2017.2671413. dc.identifier.doi 10.1109/TCPMT.2017.2671413 dc.identifier.issn 2156-3950 dc.identifier.issn 2156-3985 dc.identifier.journal IEEE Transactions on Components, Packaging and Manufacturing Technology dc.identifier.uri http://hdl.handle.net/10754/623821 dc.publisher Institute of Electrical and Electronics Engineers (IEEE) dc.relation.url http://ieeexplore.ieee.org/document/7883911/ dc.subject Capacitors dc.subject Circuit subsystems dc.subject Couplings dc.subject Integrated circuit modeling dc.subject Mathematical model dc.subject Ports (Computers) dc.subject Time-domain analysis dc.title Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors dc.type Article display.details.left
Type
Article

Authors
Li, Ping
Jiang, Li Jun
Bagci, Hakan

KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program

Online Publication Date
2017-03-22

Print Publication Date
2017-09

Date
2017-03-22
display.details.right
Abstract
In this paper, a discontinuous Galerkin time-domain (DGTD) method is developed to analyze the power-ground planes taking into account the decoupling capacitors. In the presence of decoupling capacitors, the whole physical system can be split into two subsystems: 1) the field subsystem that is governed by Maxwell's equations that will be solved by the DGTD method, and 2) the circuit subsystem including the capacitor and its parasitic inductor and resistor, which is going to be characterized by the modified nodal analysis algorithm constructed circuit equations. With the aim to couple the two subsystems together, a lumped port is defined over a coaxial surface between the via barrel and the ground plane. To reach the coupling from the field to the circuit subsystem, a lumped voltage source calculated by the integration of electric field along the radial direction is introduced. On the other hand, to facilitate the coupling from the circuit to field subsystem, a lumped port current source calculated from the circuit equation is introduced, which serves as an impressed current source for the field subsystem. With these two auxiliary terms, a hybrid field-circuit matrix equation is established, which enables the field and circuit subsystems are solved in a synchronous scheme. Furthermore, the arbitrarily shaped antipads are considered by enforcing the proper wave port excitation using the magnetic surface current source derived from the antipads supported electric eigenmodes. In this way, the S-parameters corresponding to different modes can be conveniently extracted. To further improve the efficiency of the proposed algorithm in handling multiscale meshes, the local time-stepping marching scheme is applied. The proposed algorithm is verified by several representative examples.

Citation
Li P, Jiang LJ, Bagci H (2017) Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors. IEEE Transactions on Components, Packaging and Manufacturing Technology: 1–10. Available: http://dx.doi.org/10.1109/TCPMT.2017.2671413.

Acknowledgements
National Natural Science Foundation of China[61234001]
Hong Kong UGC AoE PC04 08

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
IEEE Transactions on Components, Packaging and Manufacturing Technology

DOI
10.1109/TCPMT.2017.2671413