An ideal buck converter runs from 12 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VD = 0.75
Vo = V
2.Easy
An ideal inverting buck-boost converter must produce −9 V from 9 V in continuous conduction. Find the duty cycle D.
Vin = 9 VVo = −9 V
D =
3.Medium
An ideal buck converter turns 48 V into 24 V at 500 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 24 Vf = 500 kHzL = 330 µH
ΔIL = A
4.Medium
An ideal inverting buck-boost converter turns 24 V into −8 V at 25 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 24 VVo = −8 Vf = 25 kHzL = 68 µH
ΔIL = A
5.Hard
An ideal boost converter turns 9 V into 15 V for a 50 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = 15 Vf = 200 kHzR = 50 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 24 V into 40 V for a 12 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 40 Vf = 500 kHzR = 12 Ω
Lcrit = µH
Answer key
- 1. Vo = 9 V
- 2. D = 0.5
- 3. ΔIL = 0.07273 A
- 4. ΔIL = 3.529 A
- 5. Lcrit = 18 µH
- 6. Lcrit = 1.728 µH
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