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Sampled-Data Modeling of Hysteretic Converters Accounting for Intracycle Waveform Propagation

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1 Author(s)
Pagano, R. ; Broadcom Corp., Fort Collins, CO, USA

This paper proposes a small-signal model for variable-switching-frequency hysteretic converters operating in continuous conduction mode (CCM) and discontinuous conduction mode (DCM). The model is capable of predicting flip-bifurcation phenomena when the hysteretic converter operates below the CCM/DCM boundary. By developing a discrete-time state-space model of the converter, the z-domain model is derived using the advanced z-transform. Such a tool is suitable to transform in the z-domain signals varying within a switching cycle. A comparison with exact simulations is provided to validate the proposed model. The propagation delay of the feedback control circuit is included due to its significant influence on the low-frequency open-loop gain. Experimental results run on a test chip including a 10-MHz TSMC 0.18 μm-process hysteretic-mode buck converter are also reported along with the model results.

Published in:

Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:58 ,  Issue: 3 )