Determine transformer turns ratio, Electrical Engineering

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A flyback converter is to be designed so that it operates in continuous "current" (flux) mode with a duty cycle of D = 0.45 when input voltage V_s = 48 V, output voltage V_o = 30 V, switching frequency f_s = 25 kHz, and load resistor R = 15 W. Determine the necessary transformer turns ratio and transformer magnetizing inductance that will make the minimum inductor current to be 25% of the average. Confirm your answer with PSIM.

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