An ideal buck converter must produce 9 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 9 V
D =
2.Easy
An ideal buck-boost converter turns 24 V into 36 V and delivers 5 A to its load. Find the average input current Iin.
Vin = 24 VVo = 36 VIo = 5 A
Iin = A
3.Medium
A buck converter turns 48 V into 24 V for a 15 Ω load. It switches at 20 kHz with L = 330 µH. Find the peak inductor current Imax.
Vin = 48 VVo = 24 Vf = 20 kHzL = 330 µHR = 15 Ω
Imax = A
4.Medium
An ideal boost converter turns 9 V into 18 V for a 2.5 Ω load. Find the average inductor current IL.
Vin = 9 VVo = 18 VR = 2.5 Ω
IL = A
5.Hard
A buck converter turns 12 V into 8.4 V at 20 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 12 VVo = 8.4 Vf = 20 kHzL = 47 µH
Io,min = A
6.Hard
An ideal buck-boost converter turns 36 V into −12 V for an 8 Ω load at 40 kHz. The output capacitor is 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 36 VVo = −12 Vf = 40 kHzC = 10 µFR = 8 Ω
ΔVo = mV
Answer key
- 1. D = 0.6
- 2. Iin = 7.5 A
- 3. Imax = 2.509 A
- 4. IL = 14.4 A
- 5. Io,min = 1.34 A
- 6. ΔVo = 937.5 mV
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