An ideal inverting buck-boost converter must produce −10 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = −10 V
D =
2.Easy
An ideal buck converter runs from 48 V with a duty cycle D = 0.65 in continuous conduction. Find the output voltage Vo.
Vin = 48 VD = 0.65
Vo = V
3.Medium
An ideal buck converter turns 12 V into 3 V at 40 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 3 Vf = 40 kHzL = 100 µH
ΔIL = A
4.Medium
An ideal inverting buck-boost converter turns 12 V into −18 V at 40 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = −18 Vf = 40 kHzL = 220 µH
ΔIL = A
5.Hard
An ideal inverting buck-boost converter turns 9 V into −6 V for a 10 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = −6 Vf = 40 kHzR = 10 Ω
Lcrit = µH
6.Hard
An ideal inverting buck-boost converter turns 12 V into −36 V for a 20 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = −36 Vf = 500 kHzR = 20 Ω
Lcrit = µH
Answer key
- 1. D = 0.4
- 2. Vo = 31.2 V
- 3. ΔIL = 0.5625 A
- 4. ΔIL = 0.8182 A
- 5. Lcrit = 45 µH
- 6. Lcrit = 1.25 µH
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