How inclined are you at troubleshooting 12 volts direct current electrical circuit? Do you have the tools? If yes; go to HMA Service website and get an account with them, you will have a good shop manual on their site.
Are you referring to the 10A A/C fuse in the engine compartment junction block ?
If yes, the A/C compressor field coil is at fault.. will need field coil replacement,, it likely has high resistance of the winding, thus causing high current requirement and popping the fuse for the circuit.
You can replace the coil, but with part cost and labor/age of compressor, you might consider just replace compressor with Hyundai Re-Man compressor.