PVMD Delft University of Technology Learning objectives 1. Solar - - PowerPoint PPT Presentation

PVMD

Delft University of Technology

Calculating Solar Position

Olindo Isabella

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

Latitude, φ0 Longitude, λ0

λ0 φ0

Delft Latitude φ0: 52.01° N Longitude λ0: 4.36° E

Sun’s position: flow chart

Date & Time Latitude, φ0 Longitude, λ0

Sun’s position: flow chart

Date & Time Latitude, φ0 Axial Tilt, ε Longitude, λ0

Solar Energy Book by A. Smets et al.

Sun’s position: LMST

Date & Time Latitude, φ0 Axial Tilt, ε Longitude, λ0 LMST - θL

Solar Energy Book by A. Smets et al.

Sun’s position: Ecliptic Longitude

Date & Time Latitude, φ0 Axial Tilt, ε Longitude, λ0 Ecliptic Longitude λS LMST - θL

Solar Energy Book by A. Smets et al.

Sun’s position: Altitude and Azimuth

Date & Time Latitude, φ0 Axial Tilt, ε Longitude, λ0 Altitude - aS Azimuth - AS Ecliptic Longitude λS LMST - θL

Sun’s position

Altitude - aS Azimuth - AS

Solar Energy Book by A. Smets et al.

Sun’s position: coordinates changes

1st coordinates change 2nd coordinates change

Solar Energy Book by A. Smets et al.

The Analemma

10 20 30 40 50 60 70 175 180 185 190 195

Altitude (°) Azimuth (°) Winter solstice Autumn equinox Spring equinox Summer solstice

Delft, 12h

Recap

Date & Time Latitude, φ0 Axial Tilt, ε Longitude, λ0 Altitude - aS Azimuth - AS

10 20 30 40 50 60 70 175 180 185 190 195

Altitude (°) Azimuth (°) Winter solstice Autumn equinox Spring equinox Summer solstice