Sampled-Data Modeling of Hysteretic Converters Accounting for Intracycle Waveform Propagation
- 18 November 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems I: Regular Papers
- Vol. 58 (3), 619-632
- https://doi.org/10.1109/TCSI.2010.2072230
Abstract
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.Keywords
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