I sure would suspect the alternator's voltage regulator.

Try the five quick and dirty checks listed at
http://home.earthlink.net/~honda.lioness/id13.html , about
two-fifths of the way down.

Try also the 97 Civic service manual's checks on the
alternator, using the free online manual linked at
http://www.honda.co.uk/car/owner/workshop.html .

Updates are welcome.

> wrote
> Hello,
> I have a very interesting problem with my 1997 Honda
> Accord.
> While I am driving the electrical current surges every so
> often. It
> seems to happen at random times. When the current surges
> the headlights
> get brighter, the AC blower blows harder, and all the
> interior lights
> get real bright. This problem has burnt my head lights out
> several
> times.
> Does anyone have any idea what would cause this? I thought
> that the
> fuses should protect against this. Does the car have some
> type of
> voltage regulator that needs replaced?
>