Small-signal modeling of the PWM boost DC-DC converter at boundary-conduction mode by circuit averaging technique

This paper presents the derivation of the small-signal model of the boost converter operating in the boundary-conduction mode (BCM) using the circuit averaging technique. The essential transfer functions such as the input-to-output voltage transfer function M_v and the control-to-output transfer function T_p are derived using the linear small-signal model. Further, the characteristics of these transfer functions are analyzed using a representative design example. The switching circuit and the small-signal model are tested on a simulator to validate the proposed model.