derive the closed-loop transfer function for each converter individually, using the small-signal model with voltage controlled feedback loop. Under normal circumstances, basic converters such as the buck, boost, and buck-boost, are stable. But, as seen in the Mini-project, constant power loads will destabilize the system. When cascading two converters, even if stable individually, the resulting system can become unstable when not properly controlled. This homework is geared towards illustrating and understanding this phenomenon.
Guided by the papers of Ferdowsi, Ahmad, and Paschedag? solve the following tasks for two cascaded buck converters with the parameter values given in Table 1. 1. Derive the closed-loop transfer function for each converter individually, using the small-signal model with voltage controlled feedback loop. (20p) с Н. GM1 R Converter Buck 1 Buck 2 Vin 48 V 12 V Vout 12 V 5 V L 293 μΗ 184 uH 47 uF 1 1 1 1 15 ur 322