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A fuel cell stack operating at 20 volts and 35 amps is attached to a buck-boost DC/DC converter. What duty cycle should the converter have if the stack is delivering power to a 24-volt DC bus?

Question options:
A. 0.375
B. 0.833
C. 0.454
D. 0.546

Answer :

We have a fuel cell stack that is working at 20 volts and 35 amps. This fuel cell stack is connected to a buck-boost DC/DC converter.

Now, we have to calculate what should be the duty cycle of the converter if the fuel cell stack is delivering power to a 24-volt DC bus. First, let's determine the power that the fuel cell stack is providing to the converter:Power provided by the fuel cell = V × I = 20 × 35 = 700 watts.Now we have to calculate the output voltage of the converter. For this, we can use the equation:Vout = Duty cycle × VinHere, Vin is the input voltage which is 20 volts as it is the same as the voltage of the fuel cell stack.

So, Vout = Duty cycle × 20VWe know that the fuel cell stack is connected to a 24 V DC bus. So, the output of the converter should be 24 volts. This gives us the following equation:Duty cycle × 20V = 24VWe can solve this for the duty cycle by dividing both sides by 20:Duty cycle = 24/20 = 1.2We can see that the duty cycle is greater than 1 which is not possible as the duty cycle lies between 0 and 1. Therefore, we need to normalize the duty cycle. We can do this by dividing the output voltage by the input voltage. So the normalized duty cycle is:D = Vout/Vin = 24/20 = 1.2So, the duty cycle should be 1.2 or 120% which is not possible. Therefore, the answer is none of the given options.

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