An ideal boost converter must produce 160 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = 160 V
D =
2.Easy
An ideal boost converter turns 5 V into 12.5 V and delivers 4 A to its load. Find the average input current Iin.
Vin = 5 VVo = 12.5 VIo = 4 A
Iin = A
3.Medium
An ideal boost converter turns 12 V into 20 V at 50 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 20 Vf = 50 kHzL = 150 µH
ΔIL = A
4.Medium
An ideal buck converter turns 9 V into 3.6 V at 20 kHz with L = 33 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 3.6 Vf = 20 kHzL = 33 µH
ΔIL = A
5.Hard
An ideal inverting buck-boost converter turns 24 V into −16 V for a 12 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = −16 Vf = 500 kHzR = 12 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 15 V into 20 V for a 50 Ω load at 200 kHz. The output capacitor is 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 15 VVo = 20 Vf = 200 kHzC = 10 µFR = 50 Ω
ΔVo = mV
Answer key
- 1. D = 0.7
- 2. Iin = 10 A
- 3. ΔIL = 0.64 A
- 4. ΔIL = 3.273 A
- 5. Lcrit = 4.32 µH
- 6. ΔVo = 50 mV
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