GATE EE 2019 Set 1 — Question 47
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Power Electronics → DC-DC Converters → Buck Converter
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Question
A DC-DC buck converter operates in continuous conduction mode. It has 48 V input voltage, and it feeds a resistive load of . The switching frequency of the converter is 250 Hz. If switch-on duration is 1 ms, the load power is
- A.6 W
- B.12 W
- C.24 W
- D.48 W
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Correct answer
(A;C)
Solution
Given:
Input voltage,
Load resistance,
Switching frequency,
Switch-on duration, Step 1: Calculate the switching period ()
Step 2: Calculate the duty cycle ()
Step 3: Calculate the load power ()
There are two common interpretations for "load power" in this context:Case 1: Average power based on average output voltage (Ideal Buck with large filter)
In continuous conduction mode (CCM) with a large filter, the output voltage is approximately constant at its average value:
This corresponds to option (A).Case 2: Average power based on RMS output voltage (Chopper/Buck without output capacitor)
If the load power is calculated using the RMS value of the chopped output voltage (assuming no capacitor filter):
This corresponds to option (C).Due to the ambiguity in the circuit description regarding the output filter, both options (A) and (C) are considered correct.
Input voltage,
Load resistance,
Switching frequency,
Switch-on duration, Step 1: Calculate the switching period ()
Step 2: Calculate the duty cycle ()
Step 3: Calculate the load power ()
There are two common interpretations for "load power" in this context:Case 1: Average power based on average output voltage (Ideal Buck with large filter)
In continuous conduction mode (CCM) with a large filter, the output voltage is approximately constant at its average value:
This corresponds to option (A).Case 2: Average power based on RMS output voltage (Chopper/Buck without output capacitor)
If the load power is calculated using the RMS value of the chopped output voltage (assuming no capacitor filter):
This corresponds to option (C).Due to the ambiguity in the circuit description regarding the output filter, both options (A) and (C) are considered correct.
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