Hello,
First let me say a huge thank you to everyone who posts here for the wealth of valuable information they share. You guys and gals have an awesome community. I specifically want to thank @SupraSPL and @alesh, as their previous posts have provided me with tons of useful information.
Second, I've been scouring these forums for a while now because I'm currently a senior studying Mechanical Engineering and our project is to create a fully automated growing environment. Unfortunately, I don't go to school in one of the more progressive states, so we're stuck growing lettuce for now
Due to multiple project constraints we've decided to shoot for a PPFD of 150 umol/m^2-sec or, to be more clear, a DLI of 13. Although this light may seem low, our hope is to supplement CO2 at approximately 1000ppm to achieve similar results to this study.
http://www.cornellcea.com/attachments/CO2 and lettuce.pdf
Our system needs to light a space of approximately 8ft^2 (.743m^2), from approximately 1 foot above the canopy (possibly lower if necessary)...the catch is that it needs to be done for under 57.14 Watts.
I was lucky enough to stumble upon @alesh 's incredible post here:
https://www.rollitup.org/t/math-behind.868988/
and have been trying to wrap my head around the best way to approach this problem:
I'm thinking that I might be able to calculate the umol/J, multiply by the input watts to get PPF, and convert the PPFD to my area to get an accurate estimate.
For example:
If we take a full spectrum LED with 4.66 umol/J and drive it with 30 watts we would get 4.66 x 30 = 139.8umol/s of photons radiated from the light.
Now, I would guess that I have to assume about half of these photons actually got dissipated as heat? So that would only leave me with 69.9umol/s flying towards the canopy.
If I assume a height of approximately 1 foot above the canopy, and I want to cover a 2 foot by 2 foot wide area as well as possible, this would give me a necessary beam angle of 90 degrees. (I solved this elsewhere but can attach if desired).
So now I basically have all 69.9umol/s of my photons spread out over a 4ft^2 area (2ft x 2ft). If I divide by 4, this gives me a PPFD of 17.475 umol/ft^2-sec
Or, in a more familiar PPFD unit | 189.94 umol/m^2-sec
Everything looks good so far, except for the fact that I need to cover a 8ft^2 area (2ft x 4ft) which means I would need 2 of these LED's. This would put me at 60 watts, above my desired 57.14 Watts design constraint. Also, I have a hunch that the 189.94 umol/m^2-sec number I solved would be an average over the area (with directly under the light reaching around 300umol/m^2-sec and the edges maybe not even hitting 125umol/m^2-sec? These calculations also didn't take into account efficiency loss associated with the driver.
So finally, to my questions.
1. At the very least, does this seem like a decent process to try and make lighting design decisions?
2. Have I made any sort of major assumption errors here that would drastically throw off my estimates?
3. This whole design process hinges on having the umol/J number which takes a considerable amount of work (although @alesh has made this work much easier). I simply don't have time to compare all available LED's to find the most efficient/best one for my constraints. Is there a umol/J list for different LED's floating around anywhere that I could use to test against my constraints? This would be an absolute lifesaver.
4. Is what I'm trying to do even possible?
Thanks tremendously and I look forward to hearing any opinions or suggestions you guys/gals might have.
-Chase
First let me say a huge thank you to everyone who posts here for the wealth of valuable information they share. You guys and gals have an awesome community. I specifically want to thank @SupraSPL and @alesh, as their previous posts have provided me with tons of useful information.
Second, I've been scouring these forums for a while now because I'm currently a senior studying Mechanical Engineering and our project is to create a fully automated growing environment. Unfortunately, I don't go to school in one of the more progressive states, so we're stuck growing lettuce for now
Due to multiple project constraints we've decided to shoot for a PPFD of 150 umol/m^2-sec or, to be more clear, a DLI of 13. Although this light may seem low, our hope is to supplement CO2 at approximately 1000ppm to achieve similar results to this study.
http://www.cornellcea.com/attachments/CO2 and lettuce.pdf
Our system needs to light a space of approximately 8ft^2 (.743m^2), from approximately 1 foot above the canopy (possibly lower if necessary)...the catch is that it needs to be done for under 57.14 Watts.
I was lucky enough to stumble upon @alesh 's incredible post here:
https://www.rollitup.org/t/math-behind.868988/
and have been trying to wrap my head around the best way to approach this problem:
I'm thinking that I might be able to calculate the umol/J, multiply by the input watts to get PPF, and convert the PPFD to my area to get an accurate estimate.
For example:
If we take a full spectrum LED with 4.66 umol/J and drive it with 30 watts we would get 4.66 x 30 = 139.8umol/s of photons radiated from the light.
Now, I would guess that I have to assume about half of these photons actually got dissipated as heat? So that would only leave me with 69.9umol/s flying towards the canopy.
If I assume a height of approximately 1 foot above the canopy, and I want to cover a 2 foot by 2 foot wide area as well as possible, this would give me a necessary beam angle of 90 degrees. (I solved this elsewhere but can attach if desired).
So now I basically have all 69.9umol/s of my photons spread out over a 4ft^2 area (2ft x 2ft). If I divide by 4, this gives me a PPFD of 17.475 umol/ft^2-sec
Or, in a more familiar PPFD unit | 189.94 umol/m^2-sec
Everything looks good so far, except for the fact that I need to cover a 8ft^2 area (2ft x 4ft) which means I would need 2 of these LED's. This would put me at 60 watts, above my desired 57.14 Watts design constraint. Also, I have a hunch that the 189.94 umol/m^2-sec number I solved would be an average over the area (with directly under the light reaching around 300umol/m^2-sec and the edges maybe not even hitting 125umol/m^2-sec? These calculations also didn't take into account efficiency loss associated with the driver.
So finally, to my questions.
1. At the very least, does this seem like a decent process to try and make lighting design decisions?
2. Have I made any sort of major assumption errors here that would drastically throw off my estimates?
3. This whole design process hinges on having the umol/J number which takes a considerable amount of work (although @alesh has made this work much easier). I simply don't have time to compare all available LED's to find the most efficient/best one for my constraints. Is there a umol/J list for different LED's floating around anywhere that I could use to test against my constraints? This would be an absolute lifesaver.
4. Is what I'm trying to do even possible?
Thanks tremendously and I look forward to hearing any opinions or suggestions you guys/gals might have.
-Chase