## Keywords (2)

Publications
Equivalent circuit models for three-dimensional multiconductor systems

# Equivalent circuit models for three-dimensional multiconductor systems,A. e. Ruehli

Equivalent circuit models for three-dimensional multiconductor systems
Published in 1974.

## Citation Context (295)

• ...As an alternative, the partial element equivalent circuit (PEEC) method is also used to capture the parasitic effects at high frequencies [16], [17]...

### Vinayak Honkote, et al. CROA: Design and Analysis of the Custom Rotary Oscillatory Array

• ...Among all EM methods, the partial element equivalent circuit (PEEC) method [4] has been found particularly useful for modeling printed circuit boards, interconnects, and power systems...
• ...The PEEC method uses a circuit interpretation of the electric field integral equation (EFIE) [13], thus, being especially suitable to problems involving both EM fields and circuits [2], [4], [14]...
• ...The quasistatic PEEC formulation [4], which approximates the full-wave PEEC approach [16], yields an equivalent RLC circuit by neglecting the time delays between the elements in the full-wave PEEC formulation...
• ...The PEEC method [4] stems from the integral equation form of Maxwell’s equations...
• ...Following the standard approach [4], volumes and surfaces are discretized into elementary regions, hexahedra and patches, respectively [19]...

### Francesco Ferranti, et al. Multipoint Full-Wave Model Order Reduction for Delayed PEEC Models Wit...

• ...With the increase of operating frequencies, the accurate modeling of high-speed components and modern integrated circuits requires electromagnetic (EM) 3-D methods [1], [2] as necessary analysis and design tools...
• ...Among all EM methods, the Partial Element Equivalent Circuit (PEEC) method [2] uses a circuit interpretation of the Electric Field Integral Equation (EFIE) [5], therefore it is especially suitable to problems involving both electromagnetic fields and circuits [2], [6]...
• ...Among all EM methods, the Partial Element Equivalent Circuit (PEEC) method [2] uses a circuit interpretation of the Electric Field Integral Equation (EFIE) [5], therefore it is especially suitable to problems involving both electromagnetic fields and circuits [2], [6]...
• ...If we consider a quasi-static PEEC formulation [2], which approximates the fullwave PEEC approach [7], an equivalent RLC circuit is obtained, since the time delays between the elements in the full-wave PEEC formulation are neglected...
• ...The PEEC method [2] stems from the integral equation form of Maxwell’s equations...

### Francesco Ferranti, et al. Reduced order modeling of delayed PEEC circuits

• ...Nowadays, the accurate modeling of modern integrated circuits and high-speed systems calls for electromagnetic (EM) 3-D methods [1], [2] as necessary analysis and design tools...
• ...Among all EM methods, the Partial Element Equivalent Circuit (PEEC) method [2] uses a circuit interpretation of the Electric Field Integral Equation (EFIE) [5], therefore it is able to handle problems with both electromagnetic fields and circuits [2], [6]...
• ...Among all EM methods, the Partial Element Equivalent Circuit (PEEC) method [2] uses a circuit interpretation of the Electric Field Integral Equation (EFIE) [5], therefore it is able to handle problems with both electromagnetic fields and circuits [2], [6]...
• ...Considering a quasi-static PEEC formulation [2], the time delays between the elements in the full-wave PEEC formulation [7] are neglected and an equivalent RLC circuit and systems of ordinary differential equations (ODE) are obtained...
• ...The PEEC method [2] stems from the integral equation form of Maxwell’s equations and it is able to provide a circuit interpretation of the EFIE equation, thus allowing to handle complex problems involving both circuits and electromagnetic fields...

### Francesco Ferranti, et al. Multipoint model order reduction of delayed PEEC systems

• ...The Partial Element Equivalent Circuit (PEEC) method was developed by Albert E. Ruehli [1, 2, 3] and is based on integral forms of Maxwell’s equations upon which an equivalent circuit based model is developed...
• ...PEEC theory is presented here in brief, but a more detailed derivation is given in [1, 2, 3]. The PEEC approach to create electromagnetic models involves the following phases [7]:...
• ...are associated with the positive and negative end of the cell respectively [3]...

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