Answer for USA, Canada and countries running a 60 Hz supply service.
Assuming the splices were made correctly, meaning tight, and assuming the wire nuts did not otherwise fail, there is more heat than the wire nuts were designed to withstand. Such splices in a transformer should be limited and eliminated if at all possible. Such splices in a transformer should not be made in close proximity to the coils. If there is not space or a compartment to isolate the splices from the heat, you need to install a different method of splicing that can withstand the heat.
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As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.
Before you do any work yourself,
on electrical circuits, equipment or appliances,
always use a test meter to ensure the circuit is, in fact, de-energized.
IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB
SAFELY AND COMPETENTLY
REFER THIS WORK TO QUALIFIED PROFESSIONALS.
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The fusing current is a value of current that causes the fuse to melt and interrupt the flow of current. Usually, reference is made to the minimum fusing current which is the smallest value of current that will cause the fuse to melt.
Overloading the circuit or a device like a power strip will cause the wiring to heat up at it's weakest point and can result in fire, it can also cause insulation to melt resulting in an electrical short.
You cant it is physically impossible without a machine
a fuse
The windings melt. Also may start a fire if surround conditions permit.