An ideal boost converter must produce 192 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = 192 V
D =
2.Easy
An ideal boost converter runs from 48 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.
Vin = 48 VD = 0.4
Vo = V
3.Medium
A buck converter turns 9 V into 6.3 V for a 4 Ω load. It switches at 200 kHz with L = 10 µH. Find the peak inductor current Imax.
Vin = 9 VVo = 6.3 Vf = 200 kHzL = 10 µHR = 4 Ω
Imax = A
4.Medium
An ideal boost converter turns 48 V into 160 V for a 20 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 160 VR = 20 Ω
IL = A
5.Hard
A buck converter turns 36 V into 25.2 V for a 4 Ω load at 500 kHz, with L = 33 µH and C = 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 36 VVo = 25.2 Vf = 500 kHzL = 33 µHC = 22 µF
ΔVo = mV
6.Hard
A buck converter turns 24 V into 7.2 V at 250 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 5 mV.
Vin = 24 VVo = 7.2 Vf = 250 kHzL = 100 µHΔVo = 5 mV
C = µF
Answer key
- 1. D = 0.75
- 2. Vo = 80 V
- 3. Imax = 2.047 A
- 4. IL = 26.67 A
- 5. ΔVo = 5.207 mV
- 6. C = 20.16 µF
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