An ideal inverting buck-boost converter must produce −36 V from 36 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 36 VVo = −36 V
D =
2.Easy
An ideal boost converter turns 12 V into 16 V and delivers 2.5 A to its load. Find the average input current Iin.
Vin = 12 VVo = 16 VIo = 2.5 A
Iin = A
3.Medium
An ideal boost converter turns 24 V into 40 V for a 15 Ω load. Find the average inductor current IL.
Vin = 24 VVo = 40 VR = 15 Ω
IL = A
4.Medium
An ideal inverting buck-boost converter turns 15 V into −35 V at 40 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 15 VVo = −35 Vf = 40 kHzL = 150 µH
ΔIL = A
5.Hard
An ideal boost converter turns 24 V into 48 V for a 5 Ω load at 20 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 48 Vf = 20 kHzC = 470 µFR = 5 Ω
ΔVo = mV
6.Hard
An ideal boost converter turns 12 V into 30 V for a 50 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = 30 Vf = 200 kHzR = 50 Ω
Lcrit = µH
Answer key
- 1. D = 0.5
- 2. Iin = 3.333 A
- 3. IL = 4.444 A
- 4. ΔIL = 1.75 A
- 5. ΔVo = 510.6 mV
- 6. Lcrit = 12 µH
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