Current-Loop Control in Switching Converters Part 3: Waveform-Based Model Dynamics
by Dennis Feucht, Innovatia Laboratories, Cayo, Belize, How2Power Today, Nov 30 2011
Focus:
In this article, development of a unified model of current-mode control continues with the derivation of the dynamic equations for transfer functions of blocks in the current loop. Here in part 3, the author transforms the discrete-time equations from part 2 to the z-domain and pass quickly through it to the sampled s-domain. Conversion of the waveform equations to the z-domain is straightforward and lets the author derive a closed-loop transfer function of the peak-current controller. Dynamics equations are derived for both the valley-current samples and for the average inductor current for each switching cycle. By deriving the transfer functions for the average current, a new refined model begins to emerge that shows a somewhat different response than the familiar valley-current model.
What you’ll learn:
- How to understand Dennis Feucht’s derivation of key equations necessary to the development of his refined unified model of current-mode control
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