Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- PV Installations & Errors by solpowerpeople 3664 views
- Progressive Cavity Pump (PCP) Petro... by Muhammad Hanif 719 views
- Progressive cavity screw pump in india by KemproPumps 2032 views
- An Optimal Design for Maximum Power... by Ambrose Njepu 92 views
- Hot and Humid island climate by Shourya Puri 2578 views
- 2014 PV Performance Modeling Worksh... by Sandia National L... 3883 views

6,087 views

Published on

No Downloads

Total views

6,087

On SlideShare

0

From Embeds

0

Number of Embeds

1,128

Shares

0

Downloads

0

Comments

0

Likes

20

No embeds

No notes for slide

- 1. Inter-row ShadingAdvanced Site Survey Concepts S
- 2. Inter-row ShadingS Altitude and Azimuth AnglesS Solar Sun Path ChartS Trigonometry- SOH CAH TOAS Application of concepts to problem sets S Arc-tan function S Designing on a sloped roof
- 3. Solar Azimuth and Altitude anglesThere are two primary numbers provided by the solar sunpath chart that are required to do inter row shadingcalculations: solar altitude angle and solar azimuth angle.Solar altitude is how high in the sky the sun is in relation tothe horizon.Solar azimuth is where the sun is in the sky in relation to areference direction, usually south for solar applications.
- 4. Solar altitude and azimuth Inter-row shading: First consideration is solar altitude angle Second consideration is azimuth angle
- 5. A Simple real world graphic
- 6. Solar Sun Path Chart for 30° N84° atnoon onJune21st-Summer 11am onSolstice April 21 and Aug 21- 66° 3pm on April36° at 21 and Augnoon 21- 44°Dec21st- Also- 1:20pmWinter on Feb andSolstice Oct- 44°
- 7. Solar Sun Path Chart for 45° North68.5° atnoon onSummerSolstice
- 8. How do I get my very own Solar Sun Path Chart?S http://solardat.uoregon.edu/SunChartProgram.phpS Enter negative for Southern hemisphere (or to cheat on the Azimuth degree line)
- 9. What else do we need to know todesign an array that avoids inter-row shading? Trigonometry
- 10. Basic Trig
- 11. SOH CAH TOA which one? H Θ H AdjacentOpposite Θ Adjacent Opposite The location of the angle theta (Θ) determines which side is the opposite or adjacent. The hypotenuse is always the longest side.
- 12. SOH CAH TOA
- 13. SOH CAH TOA S=O/H C=A/H T=O/A H= ? To solve for the Hypotenuse use Cosine: C(30 )= 12/HO=? To solve for the Opposite use 30° Tangent: A= 12 T(30) = O/12
- 14. SOH CAH TOA SOH CAH TOA H = 30 S = O/HO=? C= A/H θ T= O/A A= ? Which formula is used to solve for the Opposite length? Which formula is used to solve for the Adjacent length?
- 15. Which formula is used to solve for the Opposite length? SOH CAH TOA Angle θ = 30° S = O/H S(30) = O/30 .5 = O/30 (.5) x 30 = (O/30) x 30 15 = O
- 16. Which formula would be used to solve for the Adjacent length? SOH CAH TOA Angle θ = 30° C(30) = A/30 .867= A/30 (.867) x 30 = (A/30) x 30 26.01 = A
- 17. Next- application to inter-row shading formula
- 18. Inter-row Shading ? What is the ideal distance between rows?
- 19. QuestionS You are designing a ground mount PV array at 30°N Latitude with multiple rows that faces true south. The tilt of the modules are 20°. The width of the modules are 39 inches and they will be installed in landscape layout. What is the closest distance the rows of the modules can be and not cause any shade during the hours of 8AM and 4PM solar time?
- 20. 1 st Step Determine Height of back of module We have the angle theta, and we have the 39” hypotenuse, and ? we need to know the opposite, so we should use 20° the sine function…
- 21. 1 st Step Determine Height of back of module opposite sin(q )° = hypotenuse opposite sin(20)° = 39" 39” opposite 0.34202 = ? 39" opposite = 39"´ 0.34202 20° opposite = 13.34"
- 22. Now solve for shadow length 39” 13.34” 20° ?° ?”
- 23. Get angle from 30°N SunPath Chart Note: question didn’t specify time of year, so we must assume shortest day of the year Dec 21st 12 altitude angle
- 24. Now solve for shadow length We know the opposite, and we have the angle, and we want to solve for the adjacent, so we use the tangent function 39” 13.34” 20° 12° ?”
- 25. Now solve for shadow length 13.34" tan(12)° = adjacent 13.34" 0.21255 = adjacent 13.34" adjacent = 39” 0.21255 13.34” adjacent = 62.76" 20° 12° ?”
- 26. Now solve for distance between rows ?” 66.76” (from prev slide) ?°
- 27. Get azimuth angle from 30°N SunPath Chart 55°
- 28. Now solve for distance between rowsSo now we know the angle, and thehypotenuse, and we need to solve for theadjacent. We must use cosine function. ?” 66.76” (from prev slide) 55°
- 29. Now solve for distance between rows adjacentcos(q )° = hypotenuse adjacentcos(55)° = 66.76" ?” 66.76” (from prev slide) adjacent0.5735 = 55° 66.76"adjacent = 66.76"´ 0.5735adjacent = 38.28" ANSWER: ~38.28” (depending on how much rounding you did)
- 30. First we must understand what 3/12 means
- 31. It refers to the rise over the run 3” 12” For every 3” of rise, there is 12” of run
- 32. So how do we solve for the angle? 3” ?° 12”
- 33. SOH CAH TOA 3” ?° 12”SOH or CAH or TOAWe have the opposite and the adjacentWe know that the tangent of the angle is equal tothe opposite over the adjacentSo: 3/12= TanΘ 3/12 = .25
- 34. Therefore, 3 divided by 12 is thetangent of the angle which is 0.25 3/12= TanΘ 3/12 = .25 3” ? 12” How do we solve for the angle? In order to convert from the tangent of an angle to the actual angle value use the arc- tan function.
- 35. to convert from the tangent of an angle to the actual angle value use the arctan function.
- 36. There it is!3” 14.04° 12”

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment