an ideal boost converter is shown above (a) ,for the converter operating in stea

Question

an ideal boost converter is shown above (a) ,for the converter operating in steady state,derive exact analytical expressions for :

a- the dc component of the output voltage

b- the peak to peak inductor current ripple

c-the peak to peak capacitor voltage ripple

your expressions should be written in terms of the circuit parameters Vg,R,Ts and the duty cycle D

an ideal boost converter is shown above (a) ,for the converter operating in steady state,derive exact analytical expressions for : a- the dc component of the output voltage b- the peak to peak inductor current ripple c-the peak to peak capacitor voltage ripple your expressions should be written in terms of the circuit parameters Vg,R,Ts and the duty cycle D

Explanation / Answer

a) Using Faraday’s law for the boost inductor

Vg*D*T = (V-Vg)(1-D)T

=> V = Vg/(1-D)

b)

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