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What is the formula for output voltage for Buck-Boost converter?

(a) D×Vin

(b) Vin ÷ (1-D)

(c) D×Vin ÷ (1-D)

(d) D×Vin ÷ (1+D)

The question was asked by my college professor while I was bunking the class.

My question is based upon Solid-State Switching Circuits topic in section Introduction to Solid-State Switching Circuits of Electric Drives

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Right choice is (c) D×Vin ÷ (1-D)

The best explanation: The output voltage of the buck-boost converter is Vo = D×Vin ÷ (1-D). It can step up and step down the voltage depending upon the value of the duty cycle. If the value of the duty cycle is less than .5 it will work as a buck converter and for duty cycle greater than .5 it will work as a boost converter.

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