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What is the formula for output voltage for Boost converter?

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in Electric Drives by (99.7k points)
What is the formula for output voltage for Boost converter?

(a) 8D×Vin

(b) 5D×Vin

(c) 2D×Vin

(d) D×Vin

The question was posed to me in class test.

This interesting question is from Solid-State Switching Circuits in chapter Introduction to Solid-State Switching Circuits of Electric Drives

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Right choice is (d) D×Vin

The explanation is: The output voltage of the boost converter is Vo = Vin ÷ (1-D). The value of the duty cycle is less than one which makes the Vo > Vin. The boost converter is used to step up the voltage. Vin is a fixed voltage and Vo is a variable voltage.

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