An ideal inverting buck-boost converter must produce −12 V from 36 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 36 VVo = −12 V
D =
2.Easy
An ideal buck converter runs from 24 V with a duty cycle D = 0.7 in continuous conduction. Find the output voltage Vo.
Vin = 24 VD = 0.7
Vo = V
3.Medium
An ideal boost converter turns 36 V into 48 V for a 5 Ω load. Find the average inductor current IL.
Vin = 36 VVo = 48 VR = 5 Ω
IL = A
4.Medium
An ideal buck converter turns 48 V into 19.2 V at a switching frequency of 100 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.8 A.
Vin = 48 VVo = 19.2 Vf = 100 kHzΔIL = 0.8 A
L = µH
5.Hard
An ideal boost converter turns 24 V into 48 V for a 2 Ω load at 250 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 48 Vf = 250 kHzC = 22 µFR = 2 Ω
ΔVo = mV
6.Hard
An ideal buck converter turns 24 V into 14.4 V for a 20 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 14.4 Vf = 100 kHzR = 20 Ω
Lcrit = µH
Answer key
- 1. D = 0.25
- 2. Vo = 16.8 V
- 3. IL = 12.8 A
- 4. L = 144 µH
- 5. ΔVo = 2182 mV
- 6. Lcrit = 40 µH
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