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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Journal of Electrical and Computer Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/198273 |
| Summary: | 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. |
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| ISSN: | 2090-0147 2090-0155 |