An ideal boost converter runs from 24 V with a duty cycle D = 0.25 in continuous conduction. Find the output voltage Vo.
DC-DC converters worksheet with answers
1.Easy
Vin = 24 VD = 0.25
Vo = V
2.Easy
An ideal buck converter must produce 1 V from 5 V in continuous conduction. Find the duty cycle D.
Vin = 5 VVo = 1 V
D =
3.Medium
An ideal boost converter turns 9 V into 12 V for a 10 Ω load. Find the average inductor current IL.
Vin = 9 VVo = 12 VR = 10 Ω
IL = A
4.Medium
An ideal boost converter turns 9 V into 36 V for a 15 Ω load. Find the average inductor current IL.
Vin = 9 VVo = 36 VR = 15 Ω
IL = A
5.Hard
A buck converter turns 24 V into 18 V for a 2 Ω load at 20 kHz, with L = 100 µH and C = 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 18 Vf = 20 kHzL = 100 µHC = 470 µF
ΔVo = mV
6.Hard
An ideal inverting buck-boost converter turns 36 V into −54 V for a 2 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 36 VVo = −54 Vf = 500 kHzR = 2 Ω
Lcrit = µH
Answer key
- 1. Vo = 32 V
- 2. D = 0.2
- 3. IL = 1.6 A
- 4. IL = 9.6 A
- 5. ΔVo = 29.92 mV
- 6. Lcrit = 0.32 µH
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