What fuse is blowing. In the house? Or in the smoker?
A stock smoker draws about 5.2 amps. If you're blowing fuses in the house, the circuit you are using is over loaded. Common heavy electrical loads that are on circuits that might be used for your smoker would be refrigerators, freezers, or other appliances that might be in the garage.
If you are blowing fuses in the smoke generator, I believe that fuse should be a 10 amp fuse, based on comments other forum members have made. Blowing smoke generator fuses indicates a short or other electrical problem in the smoker.
Long, light duty extension cords can be a problem, too. I suggest that any extension cord you use be at least 14 gauge wire. This would be the same gauge as is in a 15 amp house circuit. Extension cords suitable for powering a lamp are too light. Long cords add resistance to the circuit. Resistance = heat. And it is the heat that trips fuses or breakers. Avoid using things such as 100 foot extension cords. The ideal is to plug the smoker directly into an outlet. If you have to use an extension cord, as many of us do, the ideal extension cord would be just long enough to reach the plug.