Not a Chevy, but I experienced a problem similar to your description on my 05 3500 Ram diesel. at beginning of the year. Took it to local Ram dealer, they had it all day could not find or replicate the problem. Strangely, it seemed to occur only when ambient air temps were below 60 degrees, I thought the grid heater might be cycling on/off, but the indicator light wasn't on. Took it to the mechanic that normally services the truck. The culprit, believe it or not was the fan clutch (electric). Don't know what it was or wasn't doing, but the abrupt voltage drop hasn't happened since the fan clutch was replaced. Go figure........