Question

In the boost converter above, the diode has forward voltage drop Va. You may model this voltage drop as independent of current. All other elements should be modeled as ideal.

In this problem,you will find how this voltage drop changes the equations of the discontinuous conduction mode of the boost converter. The transistor duty cycle is D. 3. Derivation of capacitor charge balance equation: write the equation of the average capacitor current in DCM. Your expression should be written in terms of the input voltage Vg, output voltage V, inductance L, load resistance R, interval 1 duty cycle D1, interval 2 duty cycle D2,and switching period T,.

Fig: 1

Fig: 2

Fig: 3