Solve the model to find an expression for the output voltage

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Reference no: EM13278866

A certain boost converter is implemented with a MOSFET and a p-n diode. The MOSFET can be modeled as ideal, but the diode exhibits a substantial reverse-recovery process, with reverse recovery time tr and recovered charge Qr . In addition, the inductor has winding resistance RL.

(a) Derive an equivalent circuit that models the dc components of the converter waveforms and that accounts for the loss elements described above.

(b) Solve your model to find an expression for the output voltage

(c) Plot the output voltage vs. duty cycle over the range 0≤ D < 1, for the following values: RL =0.25Ω, fs = 150 kHz, Qr = 5 μcoul, tr = 100 nsec, R = 60Ω, Vg = 24 V.

Reference no: EM13278866

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