Introduction
The amount of solar irradiance incident on a solar surface at a location and a moment in time, depends primarily on the Solar Incidence angle.
Expand to see the introduction to solar position
Solar position consists of a series of angular
measurements between the position of the sun in the sky and a location on
the surface of the earth for a moment or a period in time.
╭─────────────────────────────────── Note ───────────────────────────────────╮
│ Internally, timestamps are converted to UTC and angles are measured in │
│ radians ! │
│ │
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The amount of solar irradiance incident on a solar surface at a location
and a moment in time, depends on the Solar Incidence angle.
To calculcate the critical Solar Incidence angle, PVGIS requires :
- the relative Latitude and Longitude coordinates
of the surface in question
- the Surface Orientation and Surface Tilt angles
- the Solar Declination and the Solar Hour angles
- a Timestamp from which to derive the latter two
First in order is the calculation of the position of the Earth
in its orbit around the sun expressed through the angle Fractional Year
measured in radians based on a moment in time (timestamp).
Second is the Equation of Time measured in minutes
that corrects for the eccentricity of the Earth's orbit and axial tilt.
Third is the Time Offset measured in minutes,
incorporates the Equation of Time and accounts for
the variation of the Local Solar Time (LST) within a given time zone
due to the longitude variations within the time zone.
Fourth is the True solar time, also known as
the Apparent solar time upon which depends the calculation of
the Solar hour angle.
Next is the Solar Hour angle measures
the Earth's rotation and indicates the time of the day relative to
the position of the sun. It bases on the longitude and timestamp and
by definition, the solar hour angle is :
- 0° at solar noon
- negative in the morning
- positive in the afternoon
The order of dependency is :
- Fractional year ⊂ Equation of time ⊂ Time offset ⊂ True solar time ⊂ Solar hour angle
- Solar declination ⊂ Solar zenith ⊂ Solar altitude ⊂ Solar azimuth
The Solar Declination angle, depending on the algorithm,
requires only the Fractional Year or in addition the
Eccentricity correction factor and the Perigee
offset) ⊂ Solar declination.
The order of dependency is :
- Fractional year ⊂ Solar declination (NOAA)
or
- (Fractional year, Eccentricity correction, Perigee offset) ⊂ Solar declination (Need Reference Here!)