Partial element equivalent circuit
 | This article is missing information about Error: you must specify what information is missing.. (July 2010) |
Partial element equivalent circuit method (PEEC) is partial inductance calculation used for interconnect problems from early 1970s which is used for numerical modeling of electromagnetic (EM) properties. The transition from a design tool to the full wave method involves the capacitance representation, the inclusion of time retardation and the dielectric formulation.
Numerical modeling of electromagnetic properties are used by, for example, the electronics industry to:
- Ensure functionality of electric systems
- Ensure compliance with electromagnetic compatibility (EMC)
History
The main research activity in this area has been and are performed, by Albert Ruehli[1] at IBM Thomas J. Watson Research Center, starting with a publication in 1972. At that time the foundation of the PEEC method was presented, i.e. the calculation of the partial inductances. The PEEC method was extended to more generalized problems, including dielectric material and retardation effect.
The PEEC method is not one of the most common techniques used in EM simulation software or as a research area but it has just been starting to gain recognition and for the first time there is a session at the 2001 IEEE EMC Symposium named after the technique. In the mid 90's, two researchers from the University of L'Aquila in Italy, Professor Antonio Orlandi and Professor Giulio Antonini, published their first PEEC paper and are now together with Dr. Ruehli considered the top researchers in the area. Starting year 2006, several research projects have been initiated by the faculty of Computer Science and Electrical Engineering of Luleå University of Technology in Sweden in the focus area of PEEC with the emphasis on computer based solvers for PEEC under the name MultiPEEC.
Application
![[icon]](/wiki/File:Wiki_letter_w_cropped.svg?lang=en){kind=small} | This section is empty. You can help by adding to it. (July 2010) |
Theory
PEEC model reduction
The rigorous full-wave version of the PEEC method is called (Lp,P,R,t) PEEC, where Lp is partial inductance, P is potential coefficient (inverse of capacitance), R is resistance, and t is delay. If available, reduced model of the full-wave version can be used. For example, if the EIP structure is electrically small, the delay term t can be omitted and the model can be reduced to (Lp,P,R) PEEC model. In addition, if frequency is sufficiently high so that w*Lp >> R, we can omit R term and use approximate (Lp,P) PEEC model. According to various modeling situations, (Lp) and (Lp,R) models are also useful.
Orthogonal PEEC
| This section is empty. You can help by adding to it. (January 2011) |
Nonorthogonal PEEC
| This section is empty. You can help by adding to it. (January 2011) |
Time domain analysis
| This section is empty. You can help by adding to it. (January 2011) |
Frequency domain analysis
| This section is empty. You can help by adding to it. (January 2011) |
Discretization
Meshing basics in PEEC
| This section is empty. You can help by adding to it. (January 2011) |
Uniform meshing
| This section is empty. You can help by adding to it. (January 2011) |
Nonuniform meshing
| This section is empty. You can help by adding to it. (January 2011) |
PEEC solver
| This section is empty. You can help by adding to it. (July 2010) |
Case study
| This section is empty. You can help by adding to it. (July 2010) |
References
- ^ A. E. Ruehli: Equivalent Circuit Models for Three-Dimensional Multiconductor Systems, IEEE Transactions on Microwave Theory and Techniques, Vol. 22 (1974), Nr. 3