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Tilted irradiance term

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Some PV sites, such as rooftops, may involve different slopes and orientations. Installing a large number of irradiance sensors is often not feasible. Instead, you can create a tilted irradiance term to calculate the tilted irradiance on the module plane based on irradiance data from a horizontal pyranometer.

  • The term can be used for standard charts, KPI calculations, and user-defined alarms

  • You can compare the tilted and the horizontal irradiance using the Analysis feature in VCOM

  • A horizontal pyranometer is required

Formula

The tilted irradiance formula is based on the following:

  1. GHI is split into diffuse and direct irradiation using the Perez algorithm[1].

  2. Diffuse and direct irradiation and the current sun position are used to calculate the total inclined radiation using the Klucher algorithm[2].

[1] Reindl D.T. (1990). Solar Energy: Diffuse fraction correlations
[2] Klucher T.M. (1979). Solar Energy: Evaluation of models to predict insolation on tilted surfaces

The formula calculates the tilted irradiance for the given arguments:

  1. Horizontal irradiation

  2. Tilt angle (0 = horizontal, 90 = vertical)

  3. Orientation angle (0 = north, 90 = east, 180 = south, 270 = west)

Formula

Result

tilted_irradiance(NULL;20;180)

NULL

tilted_irradiance(500;NULL;180)

NULL

tilted_irradiance(500;20;NULL)

NULL

tilted_irradiance(500;20;180)

The result will vary based on the date, time, and location of the system

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Example

The example below shows a tilted irradiance term.

image-20241030-124959.png
Example: tilted irradiance term

In this example, a term is created for irradiance in the module plane as well as for each subsystem with a different tilt.

image-20241030-121224.png
Example: tilted irradiance terms for subsystems with different orientations


It is then possible to display the tilted and the horizontal irradiance as an analysis:

image-20241030-122246.png
Analysis comparing irradiance on the module plane and tilted irradiance