SMALL SIGNAL TRANSFER FUNCTIONS AND MATHEMATICAL MODEL OF THE BOOST POWER CONVERTER

In this paper the switching function is employed to derive both the small signal transfer functions and the large signal mathematical model of the boost converter. In both cases the switching function technique is employed. In deriving the large signal mathematical model, both the switching frequency and its first harmonic are included. In this way the output of the large signal gives the important harmonic content of the output voltage and inductor current. For the small signal transfer functions the average model is derived but work is underway to include the switching frequency as well. PSIM/Simulink simulations are employed to verify the both the mathematical model and the small signal transfer functions.