Design a solar PV system for a roof mounted system for the loadswhose details are given in Table.1 below.Table.1Load Rating (W) Number Hours/dayCFL 15 4 5Fan 75 3 6TV 100 1 3Refrigerator 150 1 12Solar PV panel to be used have the ratings W p =80 W, V m =17.6V,I m =4.55A.Operating factor =0.8Battery efficiency=0.85Inverter Efficiency= 0.95Charge controller efficiency= 0.95Days of autonomy =2.

To design a solar PV system, we need to calculate the total daily energy consumption, size of the PV panel, battery storage, and inverter size.

1. Total Daily Energy Consumption: We calculate this by multiplying the power rating of each appliance by the number of appliances and the hours used per day, then summing all these values.

   • CFL: 15W * 4 * 5h = 300Wh
   • Fan: 75W * 3 * 6h = 1350Wh
   • TV: 100W * 1 * 3h = 300Wh
   • Refrigerator: 150W * 1 * 12h = 1800Wh

   Total = 300Wh + 1350Wh + 300Wh + 1800Wh = 3750Wh or 3.75kWh

2. Size of the PV Panel: The size of the PV panel can be calculated using the formula:

   Size = Total daily energy consumption / (sunlight hours * panel efficiency)

   Assuming an average of 5 sunlight hours per day and panel efficiency of 0.8, the size would be:

   Size = 3.75kWh / (5h * 0.8) = 0.94kW or 940W

   Since each panel is 80W, the number of panels required would be 940W / 80W = 11.75. Since we can't have a fraction of a panel, we round up to 12 panels.

3. Battery Storage: The battery storage can be calculated using the formula:

   Battery size = (Total daily energy consumption * days of autonomy) / battery efficiency

   Battery size = (3.75kWh * 2) / 0.85 = 8.82kWh

   To convert this to Ah, we divide by the system voltage (usually 24V for a system of this size):

   Battery size = 8.82kWh / 24V = 367.5Ah

4. Inverter Size: The inverter size should be greater than the total wattage of all appliances. In this case, the total wattage is:

   Total wattage = (15W * 4) + (75W * 3) + 100W + 150W = 600W

   Considering the inverter efficiency of 0.95, the inverter size should be:

   Inverter size = 600W / 0.95 = 631W

5. Charge Controller Size: The charge controller size can be calculated using the formula:

   Charge controller size = Total PV power / system voltage

   Charge controller size = 940W / 24V = 39.16A

   Considering the charge controller efficiency of 0.95, the charge controller size should be:

   Charge controller size = 39.16A / 0.95 = 41.22A

So, the solar PV system should consist of 12 panels of 80W each, a battery bank of 367.5Ah at 24V, an inverter of at least 631W, and a charge controller of 41.22A.