Most likely a bad ground causing high resistance and high amperage to the connector.
December, 16, 2012 AT 10:29 PM
Need a lot more information than that. Both connectors at both head lights? One connector feeding both lights? The connector at the head light switch? How often does this happen, once a year, right away? What do you mean by "frying"? Does it burst into flames, melt, smoke, arc, or just stop working?
December, 18, 2012 AT 2:11 AM
Hi ASEMaster6371. Merry Christmas.
You got that backward. High resistance in the connector will cause heat buildup but lower current, ... Like the lower water flow when you step on a garden hose.