Calculating Solar Position Olindo Isabella PVMD Delft University of Technology
Learning objectives 1. Solar irradiance 2. Sun movement 1. Coordinates for sun location • Geographic coordinates system • Celestial coordinates system 2. Solar position from Latitude, Longitude and Time • Sun’s position calculator • Analemma 3. Tilt angle 4. Landscape survey 5. Advanced irradiance modelling
Sun’s position: flow chart Delft Latitude, φ 0 Latitude φ 0 : 52.01 ° N Longitude λ 0 : 4.36 ° E Longitude, λ 0 φ 0 λ 0
Sun’s position: flow chart Latitude, φ 0 Longitude, λ 0 Date & Time
Sun’s position: flow chart Latitude, φ 0 Longitude, λ 0 Date & Time Axial Tilt, ε Solar Energy Book by A. Smets et al.
Sun’s position: LMST Latitude, φ 0 LMST - θ L Longitude, λ 0 Date & Time Axial Tilt, ε Solar Energy Book by A. Smets et al.
Sun’s position: Ecliptic Longitude Latitude, φ 0 LMST - θ L Longitude, λ 0 Ecliptic Date & Time Longitude λ S Axial Tilt, ε Solar Energy Book by A. Smets et al.
Sun’s position: Altitude and Azimuth Latitude, φ 0 LMST - θ L Longitude, λ 0 Altitude - a S Azimuth - A S Ecliptic Date & Time Longitude λ S Axial Tilt, ε
Sun’s position Altitude - a S Azimuth - A S Solar Energy Book by A. Smets et al.
Sun’s position: coordinates changes 1 st coordinates change 2 nd coordinates change Solar Energy Book by A. Smets et al.
The Analemma Delft, 12h 70 Summer solstice 60 50 Altitude (°) Spring equinox Autumn equinox 40 30 20 10 Winter solstice 0 175 180 185 190 195 Azimuth (°)
Recap 70 Latitude, φ 0 Summer solstice 60 50 Longitude, λ 0 Autumn equinox Spring equinox Altitude (°) 40 Altitude - a S Azimuth - A S 30 Date & Time 20 10 Winter solstice Axial Tilt, ε 0 175 180 185 190 195 Azimuth (°)
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