Abstractapplied to a wide range of power circuits that includes the resonant type converters. The basic limitation in resonant The method of state-space averaging has been successfully converters is that these circuits have state variables that exapplied to pulse-width modulated power converters, but has hibit predominantly oscillatory behavior. This paper investiits limitations with switched circuits that do not satisfy a gates a more general averaging scheme that can, in principle, accomodate arbitrary types of waveforms. The method is small ripple" condition. This work considers a more general accomodate arbitrary types of waveforms The method is small ripple" condition. This work considers a more general based on a time-dependent Fourier series representation for a averaging procedure that encompasses state-space averaging "sliding window" of a given waveform. For example, for an and is potentially applicable to a much broader class of cir-arbitrary time-domain waveform x(o), the method considers cuits and systems. In particular, the technique is shown to the Fourier coefficients of x(s) for s E (t -T, t] at the time be effective on a number of examples including resonant type instant t. Simplifying approximations can be made by omitconverters.ting insignificant terms in this series. For instance, to recover the traditional state-space averaged model, one would retain only the DC coefficient in this averaging scheme.
Abstractapplied to a wide range of power circuits that includes the resonant type converters. The basic limitation in resonant The method of state-space averaging has been successfully converters is that these circuits have state variables that exapplied to pulse-width modulated power converters, but has hibit predominantly oscillatory behavior. This paper investiits limitations with switched circuits that do not satisfy a gates a more general averaging scheme that can, in principle, accomodate arbitrary types of waveforms. The method is small ripple" condition. This work considers a more general accomodate arbitrary types of waveforms The method is small ripple" condition. This work considers a more general based on a time-dependent Fourier series representation for a averaging procedure that encompasses state-space averaging "sliding window" of a given waveform. For example, for an and is potentially applicable to a much broader class of cir-arbitrary time-domain waveform x(o), the method considers cuits and systems. In particular, the technique is shown to the Fourier coefficients of x(s) for s E (t -T, t] at the time be effective on a number of examples including resonant type instant t. Simplifying approximations can be made by omitconverters.ting insignificant terms in this series. For instance, to recover the traditional state-space averaged model, one would retain only the DC coefficient in this averaging scheme.
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