Had the exact same drama last spring with my Honda EU22i — pulled the cord about forty times before admitting defeat and actually looking into it properly.
Nine times out of ten with a winter-stored generator it's the carburettor. Petrol goes stale surprisingly fast, and the lighter fractions evaporate leaving a varnish-like residue that gums up the tiny jets. You'll usually smell it when you drain the float bowl — that slightly sweet, almost lacquer-y smell is the giveaway.
My process now:
- Drain the fuel — old petrol out completely
- Carb cleaner spray through the jets (WD-40 do a decent one, readily available at most motor factors)
- Fresh fuel — I use Aspen 4T alkylate petrol now, far more stable for storage
- Check the spark plug — replace it if there's any doubt, they're a couple of quid
If the carb cleaner doesn't sort it, a full carb strip-and-soak isn't as daunting as it sounds. YouTube has brilliant walk-throughs for most common generators.
One thing people overlook — the air filter. A damp, clogged filter after winter storage can make a generator act like it's got fuel problems when actually it's just starving for air.
What generator are you running? Some of the cheaper inverter units (I've seen a few Einhell and Hyundai units come up on here) have carbs that are a bit more fiddly to access than the Honda or Yamaha equivalents.
Worth ruling out the simple stuff before assuming it's something more serious. What have you tried so far?