GATE 2021 EE – Question 63
Consider the boost converter shown. Switch Q is operating at 25 kHz with a duty cycle of 0.6. Assume the diode and switch to be ideal. Under steady-state condition, the average resistance $R_{in}$ as seen by the source is ________ $\Omega$. (Round off to 2 decimal places.)
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Correct answer: 1.55 to 1.65
Explanation
For an ideal boost converter $V_o=\frac{V_{in}}{1-D}$ and $I_{in}=\frac{I_o}{1-D}$, so $R_{in}=\frac{V_{in}}{I_{in}}=R(1-D)^2=10\times0.4^2=1.6\ \Omega$.