Time and Transfer Constant-Based Circuit Synthesis Technique for Deriving an Equivalent Average Circuit of a PWM DC-DC Converter in CCM

In this paper, a new approach is presented to derive the equivalent average circuit for modeling the power stage of a pulse-width-modulated switching converter operating in continuous conduction mode. First, the power stage line transfer function is derived using the basic state-space averaging model. Subsequently, this line transfer function is transformed into an equivalent average circuit using the time- and transfer-constant-based circuit synthesis technique.The precision of the proposed method is verified by SIMPLIS simulation results for the traditional buck, boost, and buck-boost topologies, as well as modern hybrid topologies. In addition, the proposed methodology for deriving the equivalent average circuit is shown to be compatible with both conventional inductive-type and modern high-order hybrid-type DC–DC converters.