Example 2 The buck de-de converter is supplied form a 50 V source, and operated with duty ratio, d, ranges between 0.4~0.6. The inverter uses inductance of L=400µH and capacitor the of (C =) 100 µF. The load has a variable resistance, R, of 202 minimum and 1002 maximum. Assuming all components are ideal. Answer four of the following. (a) Draw the circuit diagram and find the maximum and minimum values of the output voltage. (b) Determine the minimum switching frequency that assure continuous inductor current. (c) signal, (ii) the inductor voltage, (iii) the inductor current. Use the same time scale, calculate and show all amplitudes at the switching points. With switching frequency of 20kHz, d=0.4, and R=202; draw to a scale the following quantities. (i) the switching

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Example 2
The buck de-dc converter is supplied form a 50 V source, and operated with duty ratio, d, ranges between 0.4-0.6. The inverter
uses inductance ofL=400µH and capacitor the of (C =) 100 µF. The load has a variable resistance, R, of 202 minimum and
1002 maximum. Assuming all components are ideal. Answer four of the following.
(a)
Draw the circuit diagram and find the maximum and minimum values of the output voltage.
(b)
Determine the minimum switching frequency that assure continuous inductor current.
With switching frequency of 20kHz, d=0.4, and R=202; draw to a scale the following quantities. (i) the switching
(c)
signal, (ii) the inductor voltage, (iii) the inductor current. Use the same time scale, calculate and show all amplitudes at the
switching points.
(d)
Derive the expression of the output voltage-to- input voltage ratio at steady state using inductor voltage waveform.
(e)
With switching frequency of 20kHz, calculate the maximum peak-to-peak output voltage ripple (AVo).
Transcribed Image Text:Example 2 The buck de-dc converter is supplied form a 50 V source, and operated with duty ratio, d, ranges between 0.4-0.6. The inverter uses inductance ofL=400µH and capacitor the of (C =) 100 µF. The load has a variable resistance, R, of 202 minimum and 1002 maximum. Assuming all components are ideal. Answer four of the following. (a) Draw the circuit diagram and find the maximum and minimum values of the output voltage. (b) Determine the minimum switching frequency that assure continuous inductor current. With switching frequency of 20kHz, d=0.4, and R=202; draw to a scale the following quantities. (i) the switching (c) signal, (ii) the inductor voltage, (iii) the inductor current. Use the same time scale, calculate and show all amplitudes at the switching points. (d) Derive the expression of the output voltage-to- input voltage ratio at steady state using inductor voltage waveform. (e) With switching frequency of 20kHz, calculate the maximum peak-to-peak output voltage ripple (AVo).
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