An ideal boost converter must produce 37.5 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 37.5 V
D =
2.Easy
An ideal inverting buck-boost converter runs from 12 V with a duty cycle D = 0.4 in continuous conduction. Find the magnitude of the output voltage |Vo|.
Vin = 12 VD = 0.4
|Vo| = V
3.Medium
An ideal inverting buck-boost converter turns 9 V into −9 V at 50 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = −9 Vf = 50 kHzL = 150 µH
ΔIL = A
4.Medium
An ideal boost converter turns 36 V into 90 V for a 15 Ω load. Find the average inductor current IL.
Vin = 36 VVo = 90 VR = 15 Ω
IL = A
5.Hard
A buck converter turns 9 V into 3.6 V for a 2 Ω load at 500 kHz, with L = 33 µH and C = 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 9 VVo = 3.6 Vf = 500 kHzL = 33 µHC = 22 µF
ΔVo = mV
6.Hard
An ideal boost converter turns 24 V into 32 V for a 5 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 32 Vf = 25 kHzR = 5 Ω
Lcrit = µH
Answer key
- 1. D = 0.6
- 2. |Vo| = 8 V
- 3. ΔIL = 0.6 A
- 4. IL = 15 A
- 5. ΔVo = 1.488 mV
- 6. Lcrit = 14.06 µH
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