Parameterized Partial Element Equivalent Circuit Method for Sensitivity Analysis of Multiport Systems

Camillis, L. De; Ferranti, Francesco; Antonini, Giulio; Ginste, Dries Vande; Zutter, D. De

doi:10.1109/tcpmt.2011.2172443

Cited by 6 publications

(7 citation statements)

References 21 publications

(26 reference statements)

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“…Hence, Equation can be recast as follows:

\underset{boldC}{\underset{([], \begin{matrix} array P & array {bold0}_{n_{n}, n_{i}} & array {bold0}_{n_{n}, n_{d}} & array {bold0}_{n_{n}, n_{p}} \\ array {bold0}_{n_{i}, n_{n}} & array {boldL}_{p} & array {bold0}_{n_{i}, n_{d}} & array {bold0}_{n_{i}, n_{p}} \\ array {bold0}_{n_{d}, n_{n}} & array {bold0}_{n_{d}, n_{i}} & array {boldC}_{d} & array {bold0}_{n_{d}, n_{p}} \\ array {bold0}_{n_{p}, n_{n}} & array {bold0}_{n_{p}, n_{i}} & array {bold0}_{n_{p}, n_{d}} & array {bold0}_{n_{p}, n_{p}} \end{matrix})}{false}} \frac{d}{d t} \underset{boldx false(t false)}{\underset{([], \begin{matrix} array q (t) \\ array i (t) \\ array {boldv}_{d} (t) \\ array {boldi}_{s} (t) \end{matrix})}{false}} = - \underset{([], \begin{matrix} {bold0}_{n_{n}, n_{n}} & - {P A}^{T} & {bold0}_{n_{n}, n_{d}} & {P K}^{T} \\ A P & R & Φ & {bold0}_{n_{i}, n_{p}} \\ {bold0}_{n_{d}, n_{n}} \end{matrix})}{false}

…”

Section: Impedance Z Peec Formulationmentioning

confidence: 99%

“…In this section, we recall some results presented in the previous studies concerning the quasi‐static PEEC equations and their different state‐space formulations.…”

Section: Peec Formulationmentioning

confidence: 99%

“…Examples of quasi‐static PEEC models can be found in the previous studies . Multiple state‐space representations are possible . The state‐space matrices do not depend on the frequency variable (quasi‐static PEEC).…”

Section: Introductionmentioning

confidence: 99%

“…The so-called quasi-static PEEC formulations [21][22][23] leads to a descriptor state-space circuital representation of the EM phenomena that are EM small. They occur as long as the geometrical size of the system under analysis is small compared with the minimum wavelength of interest.…”

mentioning

confidence: 99%

“…21,22,24,25 Multiple state-space representations are possible. [21][22][23] The state-space matrices do not depend on the frequency variable (quasi-static PEEC).…”

mentioning

confidence: 99%

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On the passivity of the quasi‐static partial element equivalent circuit method

Ferranti

Romano

Antonini

2018

Circuit Theory & Apps

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Summary The partial element equivalent circuit (PEEC) electromagnetic method has attracted a lot of attention for its capability to give a circuit interpretation to Maxwell's equations. The PEEC equivalent circuits are usually connected with terminations such as drivers and receivers in a time‐domain circuit simulator. Passivity is a fundamental property for the time‐domain simulations of circuit models connected to terminations at their electrical ports. Stable, but nonpassive, models can produce unstable systems when connected to other stable, even passive, loads. The so‐called quasi‐static PEEC formulations leads to a descriptor state‐space circuital representation of the electromagnetic phenomena. Multiple state‐space representations are possible. In this paper, we study the passivity property of different quasi‐static PEEC representations in detail. A novel analytical additive decomposition is proposed concerning the admittance formulation, which allows extracting the polynomial part of the transfer function that represents the behavior at infinity in the Laplace domain. This decomposition is discussed from a mathematical and a physical point of view. Such a detailed study for the passivity of quasi‐static PEEC models and the novel analytical decomposition is not available in the literature. Numerical results support the theoretical analysis.

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“…Hence, Equation can be recast as follows:

\underset{boldC}{\underset{([], \begin{matrix} array P & array {bold0}_{n_{n}, n_{i}} & array {bold0}_{n_{n}, n_{d}} & array {bold0}_{n_{n}, n_{p}} \\ array {bold0}_{n_{i}, n_{n}} & array {boldL}_{p} & array {bold0}_{n_{i}, n_{d}} & array {bold0}_{n_{i}, n_{p}} \\ array {bold0}_{n_{d}, n_{n}} & array {bold0}_{n_{d}, n_{i}} & array {boldC}_{d} & array {bold0}_{n_{d}, n_{p}} \\ array {bold0}_{n_{p}, n_{n}} & array {bold0}_{n_{p}, n_{i}} & array {bold0}_{n_{p}, n_{d}} & array {bold0}_{n_{p}, n_{p}} \end{matrix})}{false}} \frac{d}{d t} \underset{boldx false(t false)}{\underset{([], \begin{matrix} array q (t) \\ array i (t) \\ array {boldv}_{d} (t) \\ array {boldi}_{s} (t) \end{matrix})}{false}} = - \underset{([], \begin{matrix} {bold0}_{n_{n}, n_{n}} & - {P A}^{T} & {bold0}_{n_{n}, n_{d}} & {P K}^{T} \\ A P & R & Φ & {bold0}_{n_{i}, n_{p}} \\ {bold0}_{n_{d}, n_{n}} \end{matrix})}{false}

…”

Section: Impedance Z Peec Formulationmentioning

confidence: 99%

“…In this section, we recall some results presented in the previous studies concerning the quasi‐static PEEC equations and their different state‐space formulations.…”

Section: Peec Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

“…21,22,24,25 Multiple state-space representations are possible. [21][22][23] The state-space matrices do not depend on the frequency variable (quasi-static PEEC).…”

mentioning

confidence: 99%

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