Final answer:
The required switching duty cycle for a buck converter to reduce the voltage from a 60V PV array to 13V for battery charging is approximately 21.67%.
Step-by-step explanation:
The subject of the question is related to the behavior of a buck converter. A buck converter is used in power electronics to step down voltage from a higher level to a lower level. To determine the necessary duty cycle for the buck converter to reduce the voltage from a 60V PV array to provide 13V for battery charging, we can use the following relationship:
Vout = D × Vin
Where Vout is the output voltage, Vin is the input voltage, and D is the duty cycle (expressed as a fraction).
Substituting the given values:
13V = D × 60V
Solving for D, we get:
D = 13V / 60V
D = 0.2167 or 21.67%
Therefore, the required switching duty cycle for the buck converter is approximately 21.67%.