Derive the continuous conduction mode (CCM) voltage gain transfer function for t

Question

Derive the continuous conduction mode (CCM) voltage gain transfer function for the DC-DC converter circuit given below. First, draw the circuit when the switch is open and derive the change in the inductor current when the switch is open. For continuous conduction mode, the change in the inductor current when the switch is open is equal in magnitude and opposite in direction to the change in the inductor current when the switch is closed. So, draw the circuit when the switch is closed and find the change in the inductor current as the next step in the derivation. Then, complete the derivation of the voltage gain formula for this DC-DC converter.

Explanation / Answer

when switch close inductor charge so vs=vl then switsh open so vl=vd+vc+vr

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