If the flushing does not work, find out if a new wick and generator are available. If so, you might need a new packing and maybe a new needle too. I have never bought anything from these folks but that might be an option.
http://www.spiritburner.com/fusion/fpage.php?page/links/On one of my Phoebus stoves, the gasket on the filler cap split, getting a new one of those might be a good idea too.
If I recall, the generator on the Svea is threaded onto the tank really tightly. I think I put a big adjustable wrench in a vice and then used some good gloves that gave my hands a better grip on the tank. I then put the generator into the wrench and I turned the tank with my hands to unthread it. I only replaced the wick, I did not need to unclog a generator. You might be able to forget the wrench, just put the generator in the vice, but I think I used a wrench. Do not tighten down on the generator any more than necessary to keep it in place if you use a vice.
Assuming you use the brass windscreen, the generator needs to be threaded on to the tank at the right angle, you might want to mark it first with that angle or take a photo so when you thread the generator back onto the tank, you get that right.
Or - if the parts are not available and if flushing as suggested above does not work, I have no clue if carburetor cleaner is a good option or not. But I would only put the generator in carburetor cleaner, not any other parts. And I would do this as a last resort.
You did not say if you have the newer or older style, teh graphic is of the new style with built in cleaning needle. On reassembly, you have to get the right number of teeth in the cleaning needle engaged for it to work right. Take good notes on disassembly.
