Question

Calculate the output voltage of the Boost converter if the supply voltage is 1 V and duty cycle value is .9.

(a) 10 V

(b) 20 V

(c) 40 V

(d) 60 V

I had been asked this question in final exam.

The origin of the question is Solid-State Devices in section Introduction to Solid-State Devices of Electric Drives

Answer 1

To calculate the output voltage of a Boost converter, we use the following formula:

Vout=Vin1−DV_{out} = \frac{V_{in}}{1 - D}Vout​=1−DVin​​

Where:

• VinV_{in}Vin​ is the supply voltage
• $D$ is the duty cycle

Given:

• Vin=1 VV_{in} = 1 \, \text{V}Vin​=1V
• $D=0.9$

Step-by-step calculation:

Vout=11−0.9=10.1=10 VV_{out} = \frac{1}{1 - 0.9} = \frac{1}{0.1} = 10 \, \text{V}Vout​=1−0.91​=0.11​=10V

Thus, the output voltage is 10 V.

The correct answer is:

(a) 10 V