An ideal buck-boost converter turns 24 V into 24 V and delivers 1.5 A to its load. Find the average input current Iin.
DC-DC converters worksheet with answers
1.Easy
Vin = 24 VVo = 24 VIo = 1.5 A
Iin = A
2.Easy
An ideal buck converter must produce 1.8 V from 9 V in continuous conduction. Find the duty cycle D.
Vin = 9 VVo = 1.8 V
D =
3.Medium
An ideal buck converter turns 9 V into 2.7 V at 25 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 2.7 Vf = 25 kHzL = 100 µH
ΔIL = A
4.Medium
A buck converter turns 15 V into 10.5 V for a 4 Ω load. It switches at 500 kHz with L = 10 µH. Find the peak inductor current Imax.
Vin = 15 VVo = 10.5 Vf = 500 kHzL = 10 µHR = 4 Ω
Imax = A
5.Hard
An ideal boost converter turns 12 V into 48 V for a 25 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = 48 Vf = 250 kHzR = 25 Ω
Lcrit = µH
6.Hard
A buck converter turns 12 V into 8.4 V for an 8 Ω load at 100 kHz, with L = 150 µH and C = 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 12 VVo = 8.4 Vf = 100 kHzL = 150 µHC = 22 µF
ΔVo = mV
Answer key
- 1. Iin = 1.5 A
- 2. D = 0.2
- 3. ΔIL = 0.756 A
- 4. Imax = 2.94 A
- 5. Lcrit = 2.344 µH
- 6. ΔVo = 9.545 mV
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