An ideal boost converter must produce 30 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 30 V
D =
2.Easy
An ideal buck converter turns 15 V into 6 V and delivers 5 A to its load. Find the average input current Iin.
Vin = 15 VVo = 6 VIo = 5 A
Iin = A
3.Medium
An ideal inverting buck-boost converter turns 15 V into −22.5 V at 40 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 15 VVo = −22.5 Vf = 40 kHzL = 330 µH
ΔIL = A
4.Medium
A buck converter turns 12 V into 6 V for a 12 Ω load. It switches at 25 kHz with L = 330 µH. Find the peak inductor current Imax.
Vin = 12 VVo = 6 Vf = 25 kHzL = 330 µHR = 12 Ω
Imax = A
5.Hard
A buck converter turns 15 V into 9 V at 100 kHz with L = 330 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 100 mV.
Vin = 15 VVo = 9 Vf = 100 kHzL = 330 µHΔVo = 100 mV
C = µF
6.Hard
A buck converter turns 24 V into 16.8 V at 20 kHz with L = 330 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 24 VVo = 16.8 Vf = 20 kHzL = 330 µH
Io,min = A
Answer key
- 1. D = 0.5
- 2. Iin = 2 A
- 3. ΔIL = 0.6818 A
- 4. Imax = 0.6818 A
- 5. C = 1.364 µF
- 6. Io,min = 0.3818 A
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