Many assume all RV 13.5k BTU a/c units are created equal---they're not. All you need is 11-14 amps to "run" the typical 13.5k BTU a/c unit. Most 2000 watt generators can supply this.
However, the issue is not running a 13.5k BTU a/c with a small generator, it's starting it. The startup (inrush/LRA) current for various 13.5k BTU a/c units can vary from 50 to almost 70 amps. A Honda EU2000i and/or Yamaha 2400 iSHC can reliably start 13.5k BTU a/c units with an LRA of 50 amps. They cannot reliably start an 13.5k BTU a/c unit with an LRA much higher than 55-60 amps.
The OP has apparently solved his inrush current problem in a very elegant way. Kudos to him. However, the same thing can be also accomplished by purchasing a 13.5k BTU a/c with a more accommodating LRA.
BTW, the OP is powering a Dometic Brisk Air II a/c unit. The Brisk Air II's have some of the highest LRA's in the industry---as high as 68-70 amps! Absolutely the worst case scenario for a small generator.
