An ideal inverting buck-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 9 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.
Vin = 9 VD = 0.8
Vo = V
3.Medium
An ideal buck converter turns 36 V into 9 V at 200 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 9 Vf = 200 kHzL = 22 µH
ΔIL = A
4.Medium
An ideal inverting buck-boost converter turns 12 V into −4 V at 100 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = −4 Vf = 100 kHzL = 150 µH
ΔIL = A
5.Hard
An ideal buck converter turns 24 V into 16.8 V for a 50 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 16.8 Vf = 40 kHzR = 50 Ω
Lcrit = µH
6.Hard
An ideal inverting buck-boost converter turns 15 V into −5 V for a 10 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = −5 Vf = 100 kHzR = 10 Ω
Lcrit = µH
Answer key
- 1. D = 0.8
- 2. Vo = 45 V
- 3. ΔIL = 1.534 A
- 4. ΔIL = 0.2 A
- 5. Lcrit = 187.5 µH
- 6. Lcrit = 28.13 µH
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