An ideal buck converter must produce 7.5 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 7.5 V
D =
2.Easy
An ideal boost converter must produce 25 V from 5 V in continuous conduction. Find the duty cycle D.
Vin = 5 VVo = 25 V
D =
3.Medium
An ideal buck converter turns 12 V into 8.4 V at 25 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 8.4 Vf = 25 kHzL = 47 µH
ΔIL = A
4.Medium
An ideal buck converter turns 12 V into 4.8 V at 100 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 4.8 Vf = 100 kHzL = 22 µH
ΔIL = A
5.Hard
A buck converter turns 24 V into 6 V at 25 kHz with L = 150 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 100 mV.
Vin = 24 VVo = 6 Vf = 25 kHzL = 150 µHΔVo = 100 mV
C = µF
6.Hard
An ideal buck-boost converter turns 24 V into −72 V for a 10 Ω load at 500 kHz. The output capacitor is 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = −72 Vf = 500 kHzC = 10 µFR = 10 Ω
ΔVo = mV
Answer key
- 1. D = 0.5
- 2. D = 0.8
- 3. ΔIL = 2.145 A
- 4. ΔIL = 1.309 A
- 5. C = 60 µF
- 6. ΔVo = 1080 mV
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