An ideal buck converter must produce 7.5 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 7.5 V
D =
2.Easy
An ideal buck converter must produce 3 V from 15 V in continuous conduction. Find the duty cycle D.
Vin = 15 VVo = 3 V
D =
3.Medium
An ideal boost converter turns 12 V into 24 V for a 2.5 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 24 VR = 2.5 Ω
IL = A
4.Medium
A buck converter turns 15 V into 7.5 V for a 10 Ω load. It switches at 250 kHz with L = 22 µH. Find the peak inductor current Imax.
Vin = 15 VVo = 7.5 Vf = 250 kHzL = 22 µHR = 10 Ω
Imax = A
5.Hard
An ideal boost converter turns 12 V into 48 V for a 10 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = 48 Vf = 250 kHzR = 10 Ω
Lcrit = µH
6.Hard
An ideal buck-boost converter turns 15 V into −45 V for a 12 Ω load at 100 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 15 VVo = −45 Vf = 100 kHzC = 22 µFR = 12 Ω
ΔVo = mV
Answer key
- 1. D = 0.5
- 2. D = 0.2
- 3. IL = 19.2 A
- 4. Imax = 1.091 A
- 5. Lcrit = 0.9375 µH
- 6. ΔVo = 1278 mV
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