I dont do house work. I work at a generating station but get a meter and see what voltage you got and see if it fluctuates. Also if you have an amp meter check in your panel to see if your load is balanced. You can get a decent Amp/volt meter from 80 to 100 bucks. Its good to have around anyway. You can put your hand on the breakers to feel if they are hot (DONT TOUCH THE WIRES

) leave panel cover on and just touch each breaker.
Also if nothing else fails check all the joints from the can lights back to the load center make sure the wire nuts are tight.
What all is on the circuit with the lights? you need to do an amp reading on this circuit as well.
I wouldn't get in there messin around if you dont know what you're doing and to save me a law suit I would advise hiring a licensed electrician to check it out.
More then likely excess heat is trapped in the "can" of the the lights........
are they halogen? if so the burn real hot......
either way try getting lamps with lower watts.......
What size service do you have coming in? Is the load center overloaded.
All kinds of things I could speculate......
Now if you need a 3 phase 480 electric motor trouble shot send me an email
