Photovoltaic Array Row Spacing Calculator

Calculate Row Spacing





Formula

The formula to calculate the row spacing of a photovoltaic array is:

\[ D = \frac{0.707H}{\tan \left( \arcsin \left( 0.648 \cos \Phi - 0.399 \sin \Phi \right) \right)} \]

where:

Definition

The row spacing of a photovoltaic array is the distance between the front and rear rows of solar panels. This spacing is calculated to ensure that the rear panels are not shaded by the front panels, maximizing the efficiency of the solar array.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \Phi = 35^\circ \implies \Phi_{\text{rad}} = \frac{35 \pi}{180} \approx 0.61 \text{ radians} \]

\[ \text{term1} = 0.648 \cos(0.61) \approx 0.53 \]

\[ \text{term2} = 0.399 \sin(0.61) \approx 0.23 \]

\[ \text{angle} = \arcsin(0.53 - 0.23) \approx 0.31 \text{ radians} \]

\[ D = \frac{0.707 \times 2}{\tan(0.31)} \approx 1.1 \text{ meters} \]

The Row Spacing is approximately 1.1 meters.

Conversion Chart

Latitude (Φ) Height (H) (meters) Row Spacing (D) (meters)
30 1.5 2.73
30 2 3.64
30 2.5 4.56
32 1.5 2.95
32 2 3.94
32 2.5 4.92
34 1.5 3.21
34 2 4.27
34 2.5 5.34
36 1.5 3.50
36 2 4.67
36 2.5 5.84
38 1.5 3.86
38 2 5.15
38 2.5 6.43
40 1.5 4.29
40 2 5.72
40 2.5 7.15