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Average small-signal model, known as a simple and powerful tool, is widely used to provide design guidance for switching converters. Due to the ignorance of high-frequency characteristics, conventional average small-signal model fails to reveal dynamics of switching converters with ripple-based control. Improved small-signal models for ripple-based controls, including peak and valley ripple-based controls, are proposed in this article, which can be accurate to half of the switching frequency. Specifically, as for peak or valley current control, the uniform gain representing sample-and-hold effect is derived and suitable for different averaging ways. With regard to V2 control, the improved small-signal model can predict subharmonic oscillation caused by duty cycle and reveal the influence of the equivalent series resistance of output capacitor. Moreover, by combining the improved small-signal models of ripple-based current-mode control and V2 control, small-signal model of V2C control can be analyzed. The relationship among these ripple-based control methods is revealed, and the stability analysis as well as the transient response is carried out. Finally, experimental results turn out to agree well with the theory analysis. [ABSTRACT FROM AUTHOR]

Recently, it has been reported that valley V2 control can be applied to boost converters. However, the actual transient performance and design methodology are not clear due to insufficient knowledge about its small signal model. In this article, a small signal model of valley V2 controlled boost converter is proposed by combining average method and sampled-data method, which is simple and accurate to half the switching frequency. Then, design guidance focused on dynamical performance and stability is provided. Moreover, compensator for the valley V2 controlled boost converter is discussed. The proposed small signal model and design guidelines are verified with experimental results. Results first indicate that for the valley V2 controlled boost converter, the inductor current information is contained in the control loop because of the discontinuous output voltage ripple, which is totally different from that in V2 controlled buck converter. Also, the equivalent series resistance as well as the duty ratio will affect the transient performance to some extent. Moreover, just by using the simple proportional integral compensator, the valley V2 controlled boost converter can be compensated, and it possesses fast transient performance. As for the stability issues, the ramp compensation is useful to eliminate the instability, improving the stability margin. [ABSTRACT FROM AUTHOR]