An ideal boost converter must produce 15 V from 12 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VVo = 15 V
D =
2.Easy
An ideal boost converter runs from 15 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.
Vin = 15 VD = 0.8
Vo = V
3.Medium
An ideal boost converter turns 48 V into 160 V at 100 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 160 Vf = 100 kHzL = 330 µH
ΔIL = A
4.Medium
A buck converter turns 24 V into 7.2 V for a 4 Ω load. It switches at 25 kHz with L = 150 µH. Find the peak inductor current Imax.
Vin = 24 VVo = 7.2 Vf = 25 kHzL = 150 µHR = 4 Ω
Imax = A
5.Hard
A buck converter turns 48 V into 24 V at 20 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 48 VVo = 24 Vf = 20 kHzL = 22 µH
Io,min = A
6.Hard
An ideal inverting buck-boost converter turns 15 V into −35 V for an 8 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = −35 Vf = 20 kHzR = 8 Ω
Lcrit = µH
Answer key
- 1. D = 0.2
- 2. Vo = 75 V
- 3. ΔIL = 1.018 A
- 4. Imax = 2.472 A
- 5. Io,min = 13.64 A
- 6. Lcrit = 18 µH
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