Q1. The output DC voltage Vo of a step-down (buck) converter as shown in Fig. 1 is maintained at 5 V by controlling the duty cycle D. The input dc voltage V, to the converter is 25 V. The switching frequency fs of the converter is 300 kHz. The minimum load current, lo of the converter is 0.25 A. Assuming ideal devices and components, find (i) the minimum inductance, (ii) the maximum and minimum inductor currents, (iii) Obtain the filter capacitance C required to keep the output voltage ripple factor V/Vo < 0.70 %, and (iv) sketch PWM switch S, inductor current I, voltage across the inductor VL, and output voltage Vo.

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Author:Robert L. Boylestad
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Q1. The output DC voltage Vo of a step-down (buck) converter as shown in Fig. 1 is maintained at 5 V by
controlling the duty cycle D. The input dc voltage V, to the converter is 25 V. The switching frequency fs
of the converter is 300 kHz. The minimum load current, lo of the converter is 0.25 A. Assuming ideal
devices and components, find (i) the minimum inductance, (ii) the maximum and minimum inductor
currents, (iii) Obtain the filter capacitance C required to keep the output voltage ripple factor V/V <
0.70 %, and (iv) sketch PWM switch S, inductor current I, voltage across the inductor v, and output
voltage Vo.
VGS
+ VL
Fig. 1. DC-DC buck converter.
Transcribed Image Text:Q1. The output DC voltage Vo of a step-down (buck) converter as shown in Fig. 1 is maintained at 5 V by controlling the duty cycle D. The input dc voltage V, to the converter is 25 V. The switching frequency fs of the converter is 300 kHz. The minimum load current, lo of the converter is 0.25 A. Assuming ideal devices and components, find (i) the minimum inductance, (ii) the maximum and minimum inductor currents, (iii) Obtain the filter capacitance C required to keep the output voltage ripple factor V/V < 0.70 %, and (iv) sketch PWM switch S, inductor current I, voltage across the inductor v, and output voltage Vo. VGS + VL Fig. 1. DC-DC buck converter.
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