Hi, new here, but wanted to post information about the throttle motor on the 2000i generator, since I don't see much information on the Web about it.
Bought my Honda 2000i generator a few years back and from day one had starting issues. I always blamed this on today's fuel, despite the fact I was adding marine grade sta-bil or sea foam. I had replaced gaskets that had become misshapen due to ethanol and cleaned out the tiny idle jet with a strand of electrical wire, quite a few times. Kind of did the trick but still I never thought it ran right compared to what others who owned it were saying.
The problem was the idle control motor. It's in the white plastic shroud on top of the carb and is actually easy to service. Two phillips screws attach it to the carb, 3 small tabs release the cover, where you can detach the electrical plug, and two more phillips screws attach the small motor to the housing. Keep note of the position of shaft that sticks out the bottom because that is what opens and closes the throttle on the carb and fits inside a small slot on the carb throttle lever link. When you install the new motor, you'll want to make sure it is at the same "o'clock" position.
After reading much information here about other more expensive possibilities (faulty inverter, etc) I decided to just go for it and order a new throttle control motor from a boating supply company in Georgia that had it for $20 less than everyone else, paying $50. It took about 5 minutes to install the new motor and the genny fired up on the first pull. I let it warm up with the eco throttle off, then switched it on. It dropped rpm's and idled nicely. I then plugged in a ceramic heater and it compensated rpm's to accommodate the heavy load and let it run for a while with no issues.
After shutting it off, I decided to perform an autopsy on the old throttle control motor. I pried the metal tabs that held it together and found out that the main gear had stripped out and wasn't able to spin the shaft to tell the carb what to do.
Since I don't see much out there on this topic, I assume most people don't have the difficulties I did with the 2000i, but it has never run better. Chances are, I had gotten gasoline into the throttle control motor when I had pulled the carb before and was cleaning it, but that's just a guess. It could have been one faulty cog in any of the gears that could have caused the main drive gear to strip, but there you have it.
Sorry for the long post, and happy camping to all.