An ideal inverting buck-boost converter must produce −15 V from 5 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VVo = −15 V
D =
2.Easy
An ideal buck converter runs from 5 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.
Vin = 5 VD = 0.4
Vo = V
3.Medium
An ideal boost converter turns 12 V into 20 V for a 4 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 20 VR = 4 Ω
IL = A
4.Medium
A buck converter turns 15 V into 6 V for a 4 Ω load. It switches at 200 kHz with L = 22 µH. Find the peak inductor current Imax.
Vin = 15 VVo = 6 Vf = 200 kHzL = 22 µHR = 4 Ω
Imax = A
5.Hard
An ideal boost converter turns 9 V into 12 V for a 10 Ω load at 100 kHz. The output capacitor is 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 9 VVo = 12 Vf = 100 kHzC = 47 µFR = 10 Ω
ΔVo = mV
6.Hard
A buck converter turns 36 V into 25.2 V for a 25 Ω load at 100 kHz, with L = 150 µH and C = 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 36 VVo = 25.2 Vf = 100 kHzL = 150 µHC = 47 µF
ΔVo = mV
Answer key
- 1. D = 0.75
- 2. Vo = 2 V
- 3. IL = 8.333 A
- 4. Imax = 1.909 A
- 5. ΔVo = 63.83 mV
- 6. ΔVo = 13.4 mV
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