Question

For which of the following duty cycles will a boost converter with nonideal components be least efficient:

a. 50%
b. 25%
c. 75%
d. 90%

Answer 1

For a boost converter with nonideal components, the least efficient duty cycle among the given options would be 90%, due to increased losses at prolonged periods of high current.

Step-by-step explanation:

When assessing the efficiency of a boost converter with nonideal components, various duty cycles impact the efficiency differently. Efficiency in such converters is often influenced by factors like the conduction losses in the switch and diode, the inductor's copper losses, and core losses.

In general, very high or very low duty cycles tend to be less efficient due to increased stress on the nonideal components. In particular:

• At a 50% duty cycle, efficiency would likely be reasonable, but not optimal.
• At a 25% duty cycle, efficiency could be higher as the converter operates closer to its ideal range.
• At a 75% duty cycle, efficiency starts to decline due to longer conduction times for the switch and diode.
• At a 90% duty cycle, efficiency usually suffers the most as the components are subjected to prolonged periods of high current, leading to increased losses.

Thus, for the given options—50%, 25%, 75%, and 90%—the least efficient duty cycle for a boost converter with nonideal components would likely be 90%.