An ideal buck converter must produce 33.6 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = 33.6 V
D =
2.Easy
An ideal boost converter runs from 36 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.
Vin = 36 VD = 0.4
Vo = V
3.Medium
An ideal inverting buck-boost converter turns 24 V into −36 V at 500 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 24 VVo = −36 Vf = 500 kHzL = 220 µH
ΔIL = A
4.Medium
A buck converter turns 48 V into 12 V for a 10 Ω load. It switches at 100 kHz with L = 100 µH. Find the peak inductor current Imax.
Vin = 48 VVo = 12 Vf = 100 kHzL = 100 µHR = 10 Ω
Imax = A
5.Hard
A buck converter turns 12 V into 9 V at 200 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 12 VVo = 9 Vf = 200 kHzL = 47 µH
Io,min = A
6.Hard
An ideal boost converter turns 48 V into 64 V for a 12 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 48 VVo = 64 Vf = 250 kHzR = 12 Ω
Lcrit = µH
Answer key
- 1. D = 0.7
- 2. Vo = 60 V
- 3. ΔIL = 0.1309 A
- 4. Imax = 1.65 A
- 5. Io,min = 0.1197 A
- 6. Lcrit = 3.375 µH
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