An ideal inverting buck-boost converter must produce −45 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = −45 V
D =
2.Easy
An ideal buck converter must produce 4.8 V from 24 V in continuous conduction. Find the duty cycle D.
Vin = 24 VVo = 4.8 V
D =
3.Medium
An ideal boost converter turns 12 V into 16 V for an 8 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 16 VR = 8 Ω
IL = A
4.Medium
A buck converter turns 15 V into 10.5 V for a 25 Ω load. It switches at 20 kHz with L = 330 µH. Find the peak inductor current Imax.
Vin = 15 VVo = 10.5 Vf = 20 kHzL = 330 µHR = 25 Ω
Imax = A
5.Hard
A buck converter turns 24 V into 16.8 V at 250 kHz with L = 150 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 5 mV.
Vin = 24 VVo = 16.8 Vf = 250 kHzL = 150 µHΔVo = 5 mV
C = µF
6.Hard
A buck converter turns 24 V into 7.2 V at 500 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 50 mV.
Vin = 24 VVo = 7.2 Vf = 500 kHzL = 100 µHΔVo = 50 mV
C = µF
Answer key
- 1. D = 0.75
- 2. D = 0.2
- 3. IL = 2.667 A
- 4. Imax = 0.6586 A
- 5. C = 13.44 µF
- 6. C = 0.504 µF
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