We develop analytic methodologies for stability analysis of a parallel dc-dc converter using its switching model, discrete model (based on nonlinear map) and averaged model. We use these methodologies to investigate the dynamics of an interleaved and a synchronized parallel dc-dc buck converter. Using the switching and discrete models we show the mechanism and boundaries of fast-scale and slow-scale instabilities. We show the difference in mechanism of fast-scale instability between the interleaved and a synchronized converter. The averaged model does not show this difference. It also differs considerably (from the other two models) in prediction of instability boundaries.
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