Final answer:
The range of converter switching duty cycle needed to meet the requirements of the inverter is approximately 30.56% to 58.33%.
Step-by-step explanation:
In order to determine the range of converter switching duty cycle needed to meet the requirements of the inverter, we need to consider the maximum and minimum output voltages of the PV array. The output of the PV array varies between 75 V and 125 V depending on cloud cover. To achieve a constant 180 V output from the boost converter, the converter switching duty cycle should be adjusted accordingly.
The duty cycle can be calculated using the formula: duty cycle = (Vout - Vin) / Vout, where Vout is the desired output voltage (180 V) and Vin is the input voltage from the PV array. For the minimum input voltage of 75 V, the duty cycle would be (180 - 75) / 180 = 0.5833 or 58.33%. Similarly, for the maximum input voltage of 125 V, the duty cycle would be (180 - 125) / 180 = 0.3056 or 30.56%. Therefore, the range of converter switching duty cycle needed to meet the requirements of the inverter is approximately 30.56% to 58.33%.