An ideal buck converter must produce 2.5 V from 5 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VVo = 2.5 V
D =
2.Easy
An ideal buck converter must produce 1.5 V from 5 V in continuous conduction. Find the duty cycle D.
Vin = 5 VVo = 1.5 V
D =
3.Medium
An ideal boost converter turns 12 V into 30 V for a 2.5 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 30 VR = 2.5 Ω
IL = A
4.Medium
A buck converter turns 12 V into 3.6 V for a 12 Ω load. It switches at 200 kHz with L = 100 µH. Find the peak inductor current Imax.
Vin = 12 VVo = 3.6 Vf = 200 kHzL = 100 µHR = 12 Ω
Imax = A
5.Hard
A buck converter turns 15 V into 7.5 V at 50 kHz with L = 220 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 15 VVo = 7.5 Vf = 50 kHzL = 220 µH
Io,min = A
6.Hard
An ideal buck-boost converter turns 24 V into −36 V for a 25 Ω load at 20 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = −36 Vf = 20 kHzC = 470 µFR = 25 Ω
ΔVo = mV
Answer key
- 1. D = 0.5
- 2. D = 0.3
- 3. IL = 30 A
- 4. Imax = 0.363 A
- 5. Io,min = 0.1705 A
- 6. ΔVo = 91.91 mV
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