An ideal inverting buck-boost converter must produce −16 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = −16 V
D =
2.Easy
An ideal buck-boost converter turns 15 V into 5 V and delivers 2 A to its load. Find the average input current Iin.
Vin = 15 VVo = 5 VIo = 2 A
Iin = A
3.Medium
An ideal boost converter turns 12 V into 30 V for a 15 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 30 VR = 15 Ω
IL = A
4.Medium
An ideal inverting buck-boost converter turns 24 V into −24 V at 250 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 24 VVo = −24 Vf = 250 kHzL = 22 µH
ΔIL = A
5.Hard
An ideal boost converter turns 9 V into 12 V for a 5 Ω load at 25 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 9 VVo = 12 Vf = 25 kHzC = 220 µFR = 5 Ω
ΔVo = mV
6.Hard
An ideal boost converter turns 24 V into 48 V for an 8 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 48 Vf = 100 kHzR = 8 Ω
Lcrit = µH
Answer key
- 1. D = 0.25
- 2. Iin = 0.6667 A
- 3. IL = 5 A
- 4. ΔIL = 2.182 A
- 5. ΔVo = 109.1 mV
- 6. Lcrit = 5 µH
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