An ideal buck converter must produce 4.5 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 4.5 V
D =
2.Easy
An ideal buck-boost converter turns 48 V into 48 V and delivers 4 A to its load. Find the average input current Iin.
Vin = 48 VVo = 48 VIo = 4 A
Iin = A
3.Medium
An ideal buck converter turns 36 V into 21.6 V at 50 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 21.6 Vf = 50 kHzL = 68 µH
ΔIL = A
4.Medium
An ideal boost converter turns 15 V into 20 V at 50 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 15 VVo = 20 Vf = 50 kHzL = 22 µH
ΔIL = A
5.Hard
An ideal buck-boost converter turns 12 V into −12 V for a 10 Ω load at 100 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 12 VVo = −12 Vf = 100 kHzC = 470 µFR = 10 Ω
ΔVo = mV
6.Hard
An ideal inverting buck-boost converter turns 15 V into −35 V for a 5 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = −35 Vf = 250 kHzR = 5 Ω
Lcrit = µH
Answer key
- 1. D = 0.3
- 2. Iin = 4 A
- 3. ΔIL = 2.541 A
- 4. ΔIL = 3.409 A
- 5. ΔVo = 12.77 mV
- 6. Lcrit = 0.9 µH
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