Hypothetical Energy Requirements Calculations

[thx2015]

Hi all!

I am looking to confirm (or correct!) some ballpark calculations for a hypothetical vertical farm. The farm is general purpose to grow a variety of vegetables and greens.

Building size:

• storeys = 10
• floor = 55m x 55m
• interstitial = 1/3
• floorspace = storeys x floor x interstitial = 20270m²

The interstitial space allows for spacing between plants as well as infrastructure (e.g., ducts).

Grow lamps:

• coverage = 1.2192m²
• racks = 2
• lamps₁ = floorspace / coverage x racks = 33252

Using 5W light movers increases coverage by 35 per cent, therefore:

• lamps₂ = lamps₁ - (0.35 x lamps₁) = 21614
• movers = lamps₁ - lamps₂ = 11638

Electrical requirements:

• power = 250W
• light₁ = 303W/lm
• light₂ = 625W/lm
• total₁ = lamps₂ x power = 5.41MW
• total₂ = lamps₂ x power x (light₁ / light₂) = 2.63MW
• total₃ = total₂ + movers x 5W = 2.70MW

My primary concern is whether total₁ is correct. The calculation for total₂ is based on the possibility of creating a grow lamp with a theoretical efficiency of 625W/lm.

What assumptions made for total₁ are incorrect, if any, and how can they be corrected?

Thank you so much!

 

[thx2015]

Note 303W/lm and 625W/lm should be 303lm/W and 625lm/W, respectively.