I have done this several times. BUT, the second time all went wrong!
The first time I was using an Atlas-Copco generator, 3 x 400 V + N, 25 KVA, powered by a 4 cylinder DIESEL engine, so between 1L of 400V and the N line I had 230V. All went perfect for my 3 Multiblitz 3200Js studio flash generators and 8 flash heads with 650W pilot bulbs, plus two 1000 Js mono blocks.
The second time, I was shooting the arrival of a new car model outside a car plant in the port of Ghent (no names called). They wanted (forced) me to use 3 of their own made 16 KVA power generators working on a one cylinder FEUL (99 oct unleaded benzine) engine, one for one flash generator. And all went wrong. The flash generators are taking 20 A to recharge up to 3200 Js in a few seconds. When I refused that way of working, the factory engineer convinced me that there was no problem, theoretically anyhow. But the small power generator, in order to coop whit this 20 A, went up to almost the maximum RPM. What happened was, once the flash generator was fully charged (in about 5 seconds), it stopped taking 20A but the little fuel engine was still running at maximum speed and the tension jumped up far over 250V. So one of my flash generators (= 14 Kilos) jumped up for about half a meter and came down smoking!
The repairing costs for one flash generator was about 1 600, they paid but I lost the contract...
I never used anything else than a good heavy Atlas-Copco, over 700 Kg hooked on my Volvo, or alike!
Good luck,
Philippe