I have a 93 honda del sol. I noticed a while ago while driving the headlights would occasionally brighten for a few seconds/minutes, then dim down. (I actually thought it was the other way around at first). The battery is a few years old, and has been overdischarged at least once, but has otherwise been fine lately.
I found a cigarette lighter voltmeter, used that, and saw that when the headlights do brighten voltage is upwards of 16V. Otherwise when running it's the normal 14ish.
Replacing the alternator is painful, but I'm 30% sure that's the only thing that could cause over voltage while running, but I want a second opinion. The only alternative I can think of is an intermittent connection to the battery (possibly internal to the battery) that occassionally disconnects it while running, and the 16V is just a 'no load/minimal load' setpoint of the alternator- I wouldn't think that'd be the case with the load of the headlights though.
What says the internet?