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At some point for ZNE it moves away from "% better than code and then buy solar" to "can we stay under our solar budget?"
Your solar budget is:
24,000 sf roof * 90% roof area utilization * ~19 W/sf (assuming flat, high-efficiency panel) * (1 kW/1000 W) * 1,100 kWh/kW-yr = ~450,000 kWh/yr, or a roof production of 62 kBtu/sf-yr.
If you have 7 floors, that means your overall EUI target for the building is about 9 kBtu/sf-yr.
This will be very difficult to hit. You need more energy production. Some ways to do that are:
I think you may be able to get down to ~20-25 kBtu/sf-yr through energy efficiency measures.
"Mandatory" measures:
Also consider:
California is requiring all new homes to be ZNE in 2019, including multifamily (I'm not sure how they handle multi-story buildings): http://www.californiaznehomes.com/
You can see a list of the measures they are considering for this in presentations here: http://title24stakeholders.com/meetings-workshops/