Power losses and efficiency analysis of the quadratic buck converter in CCM

This paper presents the derivation of the efficiency and the steady-state dc voltage transfer function of the lossy quadratic buck converter operating in the continuous conduction mode (CCM). The effect of variation in the duty cycle and load resistance on the efficiency and dc voltage transfer function will be discussed. Conduction loss for every component in the circuit will be derived and the total converter losses will be expressed as functions of the duty ratio and the output power. A design of the quadratic buck converter with an output voltage of 10 V at an output power of 10 W operating at a switching frequency of 100 kHz is considered to illustrate the analysis. The results will be compared with that of the conventional buck dc-dc converter. It will be shown that, both the topologies have comparable efficiencies over the entire load range.