An ideal buck converter runs from 24 V with a duty cycle D = 0.7 in continuous conduction. Find the output voltage Vo.
DC-DC converters worksheet with answers
1.Easy
Vin = 24 VD = 0.7
Vo = V
2.Easy
An ideal inverting buck-boost converter must produce −108 V from 36 V in continuous conduction. Find the duty cycle D.
Vin = 36 VVo = −108 V
D =
3.Medium
An ideal buck converter turns 12 V into 6 V at a switching frequency of 500 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.8 A.
Vin = 12 VVo = 6 Vf = 500 kHzΔIL = 0.8 A
L = µH
4.Medium
An ideal boost converter turns 24 V into 80 V for a 12 Ω load. Find the average inductor current IL.
Vin = 24 VVo = 80 VR = 12 Ω
IL = A
5.Hard
A buck converter turns 12 V into 3 V for a 2 Ω load at 200 kHz, with L = 150 µH and C = 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 12 VVo = 3 Vf = 200 kHzL = 150 µHC = 220 µF
ΔVo = mV
6.Hard
An ideal boost converter turns 12 V into 40 V for a 2 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = 40 Vf = 25 kHzR = 2 Ω
Lcrit = µH
Answer key
- 1. Vo = 16.8 V
- 2. D = 0.75
- 3. L = 7.5 µH
- 4. IL = 22.22 A
- 5. ΔVo = 0.2131 mV
- 6. Lcrit = 2.52 µH
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