An ideal boost converter must produce 40 V from 24 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 24 VVo = 40 V
D =
2.Easy
An ideal buck converter must produce 6 V from 15 V in continuous conduction. Find the duty cycle D.
Vin = 15 VVo = 6 V
D =
3.Medium
An ideal buck converter turns 9 V into 3.6 V at a switching frequency of 40 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.2 A.
Vin = 9 VVo = 3.6 Vf = 40 kHzΔIL = 0.2 A
L = µH
4.Medium
An ideal boost converter turns 9 V into 18 V at 200 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 18 Vf = 200 kHzL = 47 µH
ΔIL = A
5.Hard
An ideal buck converter turns 24 V into 6 V for a 10 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 6 Vf = 25 kHzR = 10 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 9 V into 15 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 = 9 VVo = 15 Vf = 20 kHzC = 470 µFR = 25 Ω
ΔVo = mV
Answer key
- 1. D = 0.4
- 2. D = 0.4
- 3. L = 270 µH
- 4. ΔIL = 0.4787 A
- 5. Lcrit = 150 µH
- 6. ΔVo = 25.53 mV
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