Steady-State Response of Periodically Switched Linear Circuits via Augmented Time-Invariant Nodal Analysis

الملخص EN

We focus on the simulation of periodically switched linear circuits.

The basic notation and theoretical framework arepresented, with emphasis on the differences between the linear time-invariant and the time-varying cases.

For this important classof circuits and sources defined by periodic signals, the computation of their steady-state response is carried out via the solutionof an augmented time-invariant MNA equation in the frequency-domain.

The proposed method is based on the expansion of theunknown voltages and currents in terms of Fourier series and on the automatic generation of augmented equivalents of the circuitcomponents.

The above equivalents along with the information on circuit topology allow creating, via circuit inspection, a time-invariantMNA equation, the solution of which provides the coefficients of both the time- and the frequency-domain responses ofthe circuit.

Analytical and numerical examples are used to stress the generality and benefits of the proposed approach.