An ideal boost converter must produce 48 V from 36 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 36 VVo = 48 V
D =
2.Easy
An ideal buck converter runs from 12 V with a duty cycle D = 0.3 in continuous conduction. Find the output voltage Vo.
Vin = 12 VD = 0.3
Vo = V
3.Medium
An ideal buck converter turns 24 V into 16.8 V at a switching frequency of 40 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 1 A.
Vin = 24 VVo = 16.8 Vf = 40 kHzΔIL = 1 A
L = µH
4.Medium
An ideal boost converter turns 24 V into 32 V for a 2 Ω load. Find the average inductor current IL.
Vin = 24 VVo = 32 VR = 2 Ω
IL = A
5.Hard
An ideal inverting buck-boost converter turns 15 V into −22.5 V for a 10 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = −22.5 Vf = 250 kHzR = 10 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 9 V into 12 V for a 50 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = 12 Vf = 25 kHzR = 50 Ω
Lcrit = µH
Answer key
- 1. D = 0.25
- 2. Vo = 3.6 V
- 3. L = 126 µH
- 4. IL = 21.33 A
- 5. Lcrit = 3.2 µH
- 6. Lcrit = 140.6 µH
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