I know this is an old thread, but my TS 55 EQ is having the same problem. It is an old saw (2005), but hardly used - long story short, my uncle purchased it new, used it SPARINGLY, and gifted it to me a couple of years ago.
Issue: I was ripping some 1" mdf and the dust was horrid. Anyhow, the saw worked well for a short while, then the power started cutting out. I assumed it was overheating (no smoke or anything), so I waited a few minutes. Thereafter, when I start a cut, it starts, gets to full rpms, then a short way into the cut the rpms slow down or it turns off. When I disengage/reengage the switch, it usually will start, but runs at really low rpms. If I let it run (no load) for a few seconds, it will sometimes 'kick-in' to the higher rpms, but will then go back down when I start cutting.
1. I am cutting pretty slow - if I wanted power/speed, I would use my worm-drive skillsaw.
2. When I start using the saw after no use (eg next day), it usually cuts for a short time without issue. For example, I was ripping 1 1/2" Purpleheart, I think I got about 6 feet before it started having issues (once again, going really, really slow)
3. The problem is MUCH worse if I try to cut with any speed - putting a load on the tool, but not so much that I would consider it abuse
I called service, and they were great. I just hesitate to send it in because of the possible costs, especially if I can easily fix it myself.
Like I said, there was a lot of dust in that first job, and while I blew off/out the dust with air, I haven't opened it up to clean/inspect it.
I was hoping the OP found a solution, or someone has had similar issues and can help out. I will try this route before starting a new post.
I thank you in advance.