For a DC-DC Boost Converter, consider the following:1.It can produce an output voltage lower than the input if the duty cycle is less than 0.5.2.The switch is subjected to the full output voltage when it is OFF.3.The output capacitor reduces voltage ripple.Which of the statements given above is/are correct?
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An ideal boost converter in continuous conduction has an output voltage greater than or equal to input for 0≤D<1. The output capacitor supplies load current between energy-transfer intervals and reduces output ripple. Key relation: V_o=V_in/(1−D); ΔI_L≈V_in D/(Lf_s).
Exam focus: For an ideal boost, D=1−Vin/Vo. Common trap: A normal boost converter cannot produce Vo<Vin merely because D<0.5.
Formula / Key Relation
Vo=Vin/(1−D); ΔI_L≈Vin D/(Lfs).
Detailed Explanation
Correct Answer: C - 2 and 3 only Quick Concept Explanation An ideal boost converter in continuous conduction has an output voltage greater than or equal to input for 0≤D<1. The output capacitor supplies load current between energy-transfer intervals and reduces output ripple. Key relation: V_o=V_in/(1−D); ΔI_L≈V_in D/(Lf_s).Exam focus: For an ideal boost, D=1−Vin/Vo. Common trap: A normal boost converter cannot produce Vo<Vin merely because D<0.5. Statement-wise Verification Statement 1 - Incorrect.It can produce an output voltage lower than the input if the duty cycle is less than 0.5.An ideal boost converter has Vo=Vin/(1−D), so Vo cannot be below Vin…
Correct Answer: C - 2 and 3 only
Quick Concept Explanation
An ideal boost converter in continuous conduction has an output voltage greater than or equal to input for 0≤D<1. The output capacitor supplies load current between energy-transfer intervals and reduces output ripple. Key relation: V_o=V_in/(1−D); ΔI_L≈V_in D/(Lf_s).
Exam focus: For an ideal boost, D=1−Vin/Vo. Common trap: A normal boost converter cannot produce Vo<Vin merely because D<0.5.
Statement-wise Verification
Statement 1 - Incorrect. It can produce an output voltage lower than the input if the duty cycle is less than 0.5. An ideal boost converter has Vo=Vin/(1−D), so Vo cannot be below Vin for 0≤D<1
Statement 2 - Correct. The switch is subjected to the full output voltage when it is OFF. When the switch is off, it must block approximately the output voltage.
Statement 3 - Correct. The output capacitor reduces voltage ripple. The output capacitor supplies load current between energy-transfer intervals and reduces output ripple.
Core Concept
An ideal boost converter in continuous conduction has an output voltage greater than or equal to input for 0≤D<1. When the switch is off, it must block approximately the output voltage. The output capacitor supplies load current between energy-transfer intervals and reduces output ripple.
Formula / Key Relationship
V_o=V_in/(1−D); ΔI_L≈V_in D/(Lf_s).
Why the Other Options Are Wrong
Option A is incorrect because it omits correct statement(s) 3. Option B is incorrect because it includes incorrect statement(s) 1 and omits correct statement(s) 3. Option D is incorrect because it includes incorrect statement(s) 1.
Exam Shortcut / Approach
For an ideal boost, D=1−Vin/Vo.
Common Mistake
A normal boost converter cannot produce Vo<Vin merely because D<0.5.
Quick Revision
Boost Conversion Ratio and Switch Stress is linked with Boost Converter, DC-DC Converters and Power Electronics. For an ideal boost, D=1−Vin/Vo.
Quick Trick
For an ideal boost, D=1−Vin/Vo.
Why Other Options Are Wrong
Option A is incorrect because it omits correct statement(s) 3. Option B is incorrect because it includes incorrect statement(s) 1 and omits correct statement(s) 3. Option D is incorrect because it includes incorrect statement(s) 1.
Common Mistake
A normal boost converter cannot produce Vo<Vin merely because D<0.5.
Exam Tip
For an ideal boost, D=1−Vin/Vo.
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