A PV system is to be installed on a flat roof in Naples (Italy). The area of the roof that can be utilized for installing the PV system is 12x13 [m2] . The roof is oriented such that the sides are parallel to the East-West and North-South directions, respectively.
The owner of the roof decides to use PV modules with dimensions of 1.65 [m] × 0.99 [m] × 0.040 [m] . He is interested in the following configuration:
The modules are mounted under a tilt of 30° facing south. The short side of the modules is touching the ground. Shading calculations showed that the distance between the short edges of each row of modules has to be 4.05 [m]
How many modules can be mounted on the roof in this configuration? Assume for this calculation that the thickness of the modules is 0 [mm] instead of 40 [mm] .
A)14
B)21
C)24
D)36
To determine the number of modules that can be mounted on the roof in the described configuration, we need to calculate both the number of modules that can fit in the East-West direction and the number of modules that can fit in the North-South direction.
First, let's calculate the number of modules that can fit in the East-West direction:
The length of each module is given as 1.65 meters, and the distance between the short edges of each row of modules is given as 4.05 meters. The area of the roof in the East-West direction is 12 meters.
To calculate the number of modules that can fit in the East-West direction, we need to divide the area of the roof in the East-West direction by the length of each module, taking into account the distance between the short edges of each row of modules:
Number of modules in East-West = (12 m) / (1.65 m + 4.05 m)
Number of modules in East-West = (12 m) / (5.7 m)
Number of modules in East-West ≈ 2.105
Since we cannot have a fraction of a module, we can round down to the nearest whole number, which is 2.
Next, let's calculate the number of modules that can fit in the North-South direction:
The width of each module is given as 0.99 meters. The area of the roof in the North-South direction is 13 meters.
To calculate the number of modules that can fit in the North-South direction, we need to divide the area of the roof in the North-South direction by the width of each module:
Number of modules in North-South = (13 m) / (0.99 m)
Number of modules in North-South ≈ 13.131
Again, since we cannot have a fraction of a module, we can round down to the nearest whole number, which is 13.
Finally, to determine the total number of modules, we multiply the number of modules in the East-West direction by the number of modules in the North-South direction:
Total number of modules = (number of modules in East-West) × (number of modules in North-South)
Total number of modules = 2 × 13
Total number of modules = 26
Therefore, the correct answer is not given as an option. None of the given options A)14, B)21, C)24, D)36 are correct. The correct answer should be 26 modules.