An ideal buck converter must produce 28.8 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = 28.8 V
D =
2.Easy
An ideal boost converter runs from 9 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.
Vin = 9 VD = 0.5
Vo = V
3.Medium
An ideal boost converter turns 9 V into 22.5 V for a 2 Ω load. Find the average inductor current IL.
Vin = 9 VVo = 22.5 VR = 2 Ω
IL = A
4.Medium
An ideal boost converter turns 48 V into 80 V for a 15 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 80 VR = 15 Ω
IL = A
5.Hard
An ideal inverting buck-boost converter turns 9 V into −9 V for a 2 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = −9 Vf = 50 kHzR = 2 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 24 V into 60 V for an 8 Ω load at 40 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 60 Vf = 40 kHzC = 220 µFR = 8 Ω
ΔVo = mV
Answer key
- 1. D = 0.6
- 2. Vo = 18 V
- 3. IL = 28.13 A
- 4. IL = 8.889 A
- 5. Lcrit = 5 µH
- 6. ΔVo = 511.4 mV
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