You can't simply tape over the damaged area with out knowing if other wires around it are also damaged, if they are and short against each other you will do more damage and wipe out some or part of the electronics.
The only way of repairing is to disconnect the end where ever it goes to (likely the controller box) and then carefully remove some of the outer Black sleeve to access the wires inside (usually more then 1 wire). Disconnecting the ire first removes any voltage/power supply thus removing any risk of shorting.
You may even be able to replace the whole wire cable length as a new part.