Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis
We focus on the simulation of periodically switched linear circuits. The basic notation and theoretical framework are presented, with emphasis on the differences between the linear time-invariant and the time-varying cases. For this important class of circuits and sources defined by periodic signals...
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Online Access: | http://dx.doi.org/10.1155/2014/198273 |
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doaj-23bb2a466230414baf53023759e5c8a22021-07-02T07:11:32ZengHindawi LimitedJournal of Electrical and Computer Engineering2090-01472090-01552014-01-01201410.1155/2014/198273198273Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal AnalysisRiccardo Trinchero0Igor S. Stievano1Flavio G. Canavero2Department of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, ItalyDepartment of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, ItalyDepartment of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, ItalyWe focus on the simulation of periodically switched linear circuits. The basic notation and theoretical framework are presented, with emphasis on the differences between the linear time-invariant and the time-varying cases. For this important class of circuits and sources defined by periodic signals, the computation of their steady-state response is carried out via the solution of an augmented time-invariant MNA equation in the frequency-domain. The proposed method is based on the expansion of the unknown voltages and currents in terms of Fourier series and on the automatic generation of augmented equivalents of the circuit components. The above equivalents along with the information on circuit topology allow creating, via circuit inspection, a time-invariant MNA equation, the solution of which provides the coefficients of both the time- and the frequency-domain responses of the circuit. Analytical and numerical examples are used to stress the generality and benefits of the proposed approach.http://dx.doi.org/10.1155/2014/198273 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Riccardo Trinchero Igor S. Stievano Flavio G. Canavero |
spellingShingle |
Riccardo Trinchero Igor S. Stievano Flavio G. Canavero Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis Journal of Electrical and Computer Engineering |
author_facet |
Riccardo Trinchero Igor S. Stievano Flavio G. Canavero |
author_sort |
Riccardo Trinchero |
title |
Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis |
title_short |
Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis |
title_full |
Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis |
title_fullStr |
Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis |
title_full_unstemmed |
Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis |
title_sort |
steady-state response of periodically switched linear circuits via augmented time-invariant nodal analysis |
publisher |
Hindawi Limited |
series |
Journal of Electrical and Computer Engineering |
issn |
2090-0147 2090-0155 |
publishDate |
2014-01-01 |
description |
We focus on the simulation of periodically switched linear circuits. The basic notation and theoretical framework are
presented, with emphasis on the differences between the linear time-invariant and the time-varying cases. For this important class
of circuits and sources defined by periodic signals, the computation of their steady-state response is carried out via the solution
of an augmented time-invariant MNA equation in the frequency-domain. The proposed method is based on the expansion of the
unknown voltages and currents in terms of Fourier series and on the automatic generation of augmented equivalents of the circuit
components. The above equivalents along with the information on circuit topology allow creating, via circuit inspection, a time-invariant
MNA equation, the solution of which provides the coefficients of both the time- and the frequency-domain responses of
the circuit. Analytical and numerical examples are used to stress the generality and benefits of the proposed approach. |
url |
http://dx.doi.org/10.1155/2014/198273 |
work_keys_str_mv |
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1721336340300169216 |