An ideal buck converter runs from 15 V with a duty cycle D = 0.6 in continuous conduction. Find the output voltage Vo.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VD = 0.6
Vo = V
2.Easy
An ideal boost converter runs from 15 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.
Vin = 15 VD = 0.5
Vo = V
3.Medium
An ideal boost converter turns 15 V into 20 V for a 2 Ω load. Find the average inductor current IL.
Vin = 15 VVo = 20 VR = 2 Ω
IL = A
4.Medium
A buck converter turns 15 V into 7.5 V for a 20 Ω load. It switches at 50 kHz with L = 150 µH. Find the peak inductor current Imax.
Vin = 15 VVo = 7.5 Vf = 50 kHzL = 150 µHR = 20 Ω
Imax = A
5.Hard
An ideal boost converter turns 15 V into 30 V for a 4 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = 30 Vf = 20 kHzR = 4 Ω
Lcrit = µH
6.Hard
A buck converter turns 12 V into 7.2 V at 200 kHz with L = 33 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 12 VVo = 7.2 Vf = 200 kHzL = 33 µH
Io,min = A
Answer key
- 1. Vo = 9 V
- 2. Vo = 30 V
- 3. IL = 13.33 A
- 4. Imax = 0.625 A
- 5. Lcrit = 12.5 µH
- 6. Io,min = 0.2182 A
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