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2. Derivation of inductor volt-second balance equation: write the equation of the average inductor voltage in DCM. Your expression should be written in terms of the input voltage Vg, output

voltage V, diode forward voltage drop Va, interval 1 duty cycle D1, and interval 2 duty cycle D2. 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.

Fig: 1

Fig: 2

Fig: 3