Can Solar Panels Be Installed on Flat Roof - Flat roof solar

Can Solar Panels Be Installed on Flat Roof - Flat roof solar

Case Study

27 June 2024

Installation of solar panels on a flat roof

With the price of solar panels dropping, there are more offers to install them on flat roofs. Especially popular are the roofs of distribution centers, factory halls, megamarkets, warehouses, and cold stores. These are facilities that consume a large amount of electricity, so the economic profitability of this investment is unquestionable. The only question is: How to install solar panels to maximize your profits?

I have seen several types of panel installation, so I will analyze all cases with the SPAC application.

1. The building is ideally oriented: toward south-north

In this case, I will consider three variants, the last of which is only theoretical.
2.1 Classically placed panels as far as possible to the south
2.2 Panels are positioned on inclined supports with an east-west orientation.
2.3. Panels placed horizontally

2. The building is not ideally oriented.

In this case, I will consider:
2.1 classic south-facing panel setup.
2.2 horizontal panel setting.We will analyze Case 2 in detail in another article.

Vertical arrangement of solar panels
Flat roof solar panel installation

We will adopt a roof of random dimensions:

Roof Dimensions 60m X 80m
PV Module Axitec 415 W
PV Module dimensions Axitec 1172 mm X 1134mm
PV Module price: Axitec $130
Location: Los Angeles, USA

South-facing panel setting with gap due to shadow (ground standard)

The SPAC application automatically calculates the required distance between the panels due to shadow casting.
The length of the shadow varies according to the latitude.
On December 21, the shadow is at its most unfavorable, measuring 2.84 meters.
D = gap due to shadow = 2.84 meters.
At a distance of 60 m, the number of columns in an east-west direction is:

M = 60 m: 1.134 m = 52.9 => 52
span> columns are adopted.

We calculate the number of rows according to the following formula:

N = (80 m / 1.722 m * cos(30)) : 2.84 m = 27

Total number of panels: M*N = 52 * 27 = 1404

Now, by entering these parameters into the application, we can obtain the annual production of:

P annual = 943,868.9 kWh
Classic solar panel layout

The panel settings on inverted "V" supports are aligned east - west

This setup is very popular due to the current drop in solar panel prices, and it attempts to get as much energy as possible from a rooftop installation.
We place the panels on isosceles triangular supports with two equal alpha angles and arrange them east-west, so that one side of the support receives sun exposure throughout the day and both sides at noon.
With this shape, you should pay particular attention to the height of the triangle of the support, because the high height and the large alpha angle can cause the panels to cast a shadow on each other.
The altitude angle must be greater than or equal to the panel’s inclination angle.
In order to find a compromise solution, one has to look at the altitude angle in the morning hours in December and January (when there is the biggest shadow) and possibly sacrifice the energy gain in that month until 10 a.m. and after 2:30 p.m.In our calculations, we will use the angle alpha = 18.

The formula calculates the total length of one pair of panels on the support.

L1 = 2*cos(18) * 1.722 m = 2.156 m

We count the total number of pairs of panels facing east to west (length 60 m)

M = 60 m : 2,156 m = 27.8. The adopted number is 27 rows with a pair of panels, i.e., 52 panels.

The formula calculates the total number of panels in the south-north direction:

N = 80 m : 1.134 = 70.54 m; the adoption number is 70 pcs;
Total panels: M*N = 52*70 = 3640.

Compared to the first example, there are five times as many panels installed here:
We calculate the total energy according to the formula.

P = P east + P west

The power from panels facing east (before noon) is denoted as P-east. In the afternoon, panels facing west provide P-west power. We assume that P east equals P west. The parameters used in the P east calculation are
Panel tilt angle: 18 degrees
Facing south at 90 degrees

number of panels (3640): 2 = 1820 pcs

When we pass these parameters through the SPAC application, we get the following results:

P east = P west = 701,070,353 kWh.

Therefore, the total annual production is:
P anual = 2,140,8,706 kWh. This considerably surpasses the traditional on ground configuration.

East-west solar panel layout on flat roof

On the image above:
α: tilt angle on a V shape
β: altitude angle (It depends on the day of the year, time of day, and latitude.)

Case 3: Horizontal panel setting

I have not seen this case in practice, probably due to problems with drainage or removing accumulated snow, but I will analyze it for comparison with the previous two.

Note

We have two variants of installation; we will adopt one with a smaller number of panels. It does not play an important role because our goal is to calculate the profit per 1 kW.

First case
M - num cols Adopted N - num rows width Adopted
60m / 1.134 m 52 80 / 1.722 46

Summary: 52 x 46 = 2392

Second case
M - num cols Adopted N - num rows width Adopted
60m / 1.722 m 34 80 / 1.134 70
Summary: 34 x 70 = 2380 <- Adopted for calculation
Horizontal solar panel layout on flat roof

After all calculations with the SPAC application, we will get results. To simplify the analysis, I will divide the energy gain by the total installed power (investment). Have a clear picture of what we get from the column kwh per $ we invest.

Case Num panels Annual power (kWh) Invest ($) Gain (kWh/$)
1 1404 943,868.9 182,520 5.17
2 3640 2,140,706 473,200 4.52
3 2380 1,398,621.37 309,400 4.52

We can infer the following conclusions from the table:

  • For the first case, the best investment is 5.17 kWh per year for $1.
  • The second case yields the most energy.
  • The second and third cases are almost identical in terms of invested dollars and received kilowatts.
  • In areas without snow or heavy rain, we should not ignore the third case.

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