Solar off-grid cannot power an AC unit unless money is of no object. For one the inverter would have to be rated at least 5 times the motor load and be a True Sine Wave type which is very expensive. So if you had a 2 KW load would mean a 10 KW True Sine Wave inverter. You are pushing $50K just for that kind of inverter
The first thing is you have to know your solar insolation value in the summer. Typically that is around 4 to 6 hours depending on location.
So let's say it is 5 hours per day. For off-grid (battery) installation you take the daily load say 27 Kwh and multiply it by 1.5 to compensate for wiring and conversion losses. (1.2 for Grid Tied) so 27 Kwh x 1.5 = 40.5 Kwh. That is how much power the solar panel array would have to generate in a day. To find what the solar panel wattage needs to be is KWH/Sun Hour Day = 40.5 Kwh / 5 hours = 8100 watts. That is a boat load of panels at a cost of around $4 to $5 per watt or $64, 800 just for panels dropped shipped. Nothing else
Now for batteries you should never discharge your batteries more than 20 % in a single day. This will carry you through a couple of cloudy days and prolonge the battery life up to 5 to 7 years. So to figure th ebattery size you first decide on a nominal system voltage. At theses huge wattages you want to run high of voltage as possible like 96 volts or higher. So to figure out th ebattery size take the adjusted daily wattage of 40.1 Kwh and multiply by 5 = 202.5 Kwh. Now divide that by the system voltage of lets say 96 volts toget the Amp hour capacity needed. 202,500 Kwh / 96 volts = 2100 AH. That is a housefull of batterieries so you will need to build a 2000/ft2 addition to your home to hold all the batteries needed and remember they need replaced every 5 to 7 years. Right off the top of my head since I buy a lot of stationary batteries they will cost you around $100,000 plus shipping, EPA permits to house that much acid, and installation labor.
OK I think You see where i am going with this. Why on earth would you spend over $200K to replace the POCO who charges you about $3.00 per day to supply 27 Kwh to run your AC unit.
To do this grid tied your cost would be around $64,000 before rebates an incentives. Still no deal IMO