In my industry we worked out of a constantly moving 40" trailer and often brought our own power. The Honda 2000's were what we used. Fantastic generator. We ran one all day every day, it generally need to be refilled once about 2/3 of the way through the day. Sometimes we'd pop the breaker if the compressor kicked on while you were using the saw, but generally they were the S#$T. Like Dan said, you can daisy chain them. Worth the money and very very quiet. Ours was mounted inside a jockey box and you couldn't really hear it at the lift gate, even if the jockey door was open.
Of course this thread is nominally about battery powered saws and vacuums, I don't think using a generator is really going in the portable direction that every one is thinking. You would need to mount the whole mess on a flat cart. I don't think you'd get much runtime or performance out of a cordless vac, or a cordless TS55 for that matter. And where the TS55 shines is on the rail. If you want a cordless circ saw, get one of the small ones. They are really starting to hit the mark with these. I've got the Ridgid 24v Li-ion one and it's great. I've used the Dewalt, Makita, and Panasonic in the same size at work. All are good, so I guess it depends on what you're really going to use the saw for. None of these would really make a good panel cutter, but having said that, I've ripped really narrow and long pieces of flooring with my stock trim guide.