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Multipoint full-wave model order reduction for delayed PEEC models with large delays

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Abstract
The increase of operating frequencies requires 3-D electromagnetic (EM) methods, such as the partial element equivalent circuit (PEEC) method, for the analysis and design of highspeed circuits. Very large systems of equations are often produced by 3-D EM methods and model order reduction (MOR) techniques are used to reduce such a high complexity. When signal waveform rise times decrease and the corresponding frequency content increases, or the geometric dimensions become electrically large, time delays must be included in the modeling. A PEEC formulation, which include delay elements called tau PEEC method, becomes necessary and leads to systems of neutral delayed differential equations (NDDE). The reduction of large NDDE is still a very challenging research topic, especially for electrically large structures, where delays among coupled elements cannot be neglected or easily approximated by rational basis functions. We propose a novel model order technique for tau PEEC models that is able to accurately reduce electrically large systems with large delays. It is based on an adaptive multipoint expansion and MOR of equivalent first-order systems. The neutral delayed differential formulation is preserved in the reduced model. Pertinent numerical examples based on tau PEEC models validate the proposed MOR approach.
Keywords
TIME-DOMAIN, IBCN, FORM EVALUATION, CIRCUIT MODELS, INTERCONNECTS, SIMULATION, FORMULATION, DIELECTRICS, Delayed partial element equivalent circuit (PEEC) method, model order reduction (MOR), neutral delayed differential equations (NDDE)

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Citation

Please use this url to cite or link to this publication:

Chicago
Ferranti, Francesco, Michel S Nakhla, Giulio Antonini, Tom Dhaene, Luc Knockaert, and Albert E Ruehli. 2011. “Multipoint Full-wave Model Order Reduction for Delayed PEEC Models with Large Delays.” Ieee Transactions on Electromagnetic Compatibility 53 (4): 959–967.
APA
Ferranti, F., Nakhla, M. S., Antonini, G., Dhaene, T., Knockaert, L., & Ruehli, A. E. (2011). Multipoint full-wave model order reduction for delayed PEEC models with large delays. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 53(4), 959–967.
Vancouver
1.
Ferranti F, Nakhla MS, Antonini G, Dhaene T, Knockaert L, Ruehli AE. Multipoint full-wave model order reduction for delayed PEEC models with large delays. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY. 2011;53(4):959–67.
MLA
Ferranti, Francesco, Michel S Nakhla, Giulio Antonini, et al. “Multipoint Full-wave Model Order Reduction for Delayed PEEC Models with Large Delays.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY 53.4 (2011): 959–967. Print.
@article{1965622,
  abstract     = {The increase of operating frequencies requires 3-D electromagnetic (EM) methods, such as the partial element equivalent circuit (PEEC) method, for the analysis and design of highspeed circuits. Very large systems of equations are often produced by 3-D EM methods and model order reduction (MOR) techniques are used to reduce such a high complexity. When signal waveform rise times decrease and the corresponding frequency content increases, or the geometric dimensions become electrically large, time delays must be included in the modeling. A PEEC formulation, which include delay elements called tau PEEC method, becomes necessary and leads to systems of neutral delayed differential equations (NDDE). The reduction of large NDDE is still a very challenging research topic, especially for electrically large structures, where delays among coupled elements cannot be neglected or easily approximated by rational basis functions. We propose a novel model order technique for tau PEEC models that is able to accurately reduce electrically large systems with large delays. It is based on an adaptive multipoint expansion and MOR of equivalent first-order systems. The neutral delayed differential formulation is preserved in the reduced model. Pertinent numerical examples based on tau PEEC models validate the proposed MOR approach.},
  author       = {Ferranti, Francesco and Nakhla, Michel S and Antonini, Giulio and Dhaene, Tom and Knockaert, Luc and Ruehli, Albert E},
  issn         = {0018-9375},
  journal      = {IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY},
  keyword      = {TIME-DOMAIN,IBCN,FORM EVALUATION,CIRCUIT MODELS,INTERCONNECTS,SIMULATION,FORMULATION,DIELECTRICS,Delayed partial element equivalent circuit (PEEC) method,model order reduction (MOR),neutral delayed differential equations (NDDE)},
  language     = {eng},
  number       = {4},
  pages        = {959--967},
  title        = {Multipoint full-wave model order reduction for delayed PEEC models with large delays},
  url          = {http://dx.doi.org/10.1109/TEMC.2011.2154335},
  volume       = {53},
  year         = {2011},
}

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