My Lennox 5 Ton M/N 13ACXN060-230-21 was installed in late June. The HVAC contractor installs hard starts on all of them, by practice. My 22kW generator took the load of the 5 ton with the house using power normally without issue. In my particular case, the hard start module failed the same day so I ran without anything, again, testing the generator taking the load, even testing it while the electric car was taking 32amps as well. No issues. The manufacturer of the Hard Start wrote me a check for $500 for the inconvenience of the hard start failing, so I bought a Soft Start from Ziller and installed it. The generator still takes the load of the AC without issue. I've tested for 10 hours with the A/C on a near 90 degree day running for half the time with many starts due to 3 zones in the house on the 1 unit. My Lennox has an RLA of 26.4 and an LRA of 125.
In my opinion, your generator should run that AC unit fine. If that AC is drawing the correct current, your 22kW should be fine. It's easy enough with the right meter to see what your AC unit is drawing on start.
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