When it cuts off is it like the ignition shuts off? Does the gauges go dead when it cuts off?? If it does then you have the 40 amp breaker going bad and it needs to be replaced.
Your 2000 model has a main breaker that will overheat and break when going bad and when it cools it will reset. HD put a 40 amp fuse in the newer models because of the breaker problems.
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08 FLTR candy red sunglo,with 2015 103 HO, V&H Dresser Duals with Monster Rounds, Power Vision tuner, Willy Shiny Wheels and Forks and a bunch of other stuff.