Three 55 watt bulbs are going to draw something in the neighborhood of 13 amps. Considering that your alternator probably puts out 35 amps, I would think you could be pretty close to needing a higher output alternator.
On the other hand, there are LED driving lights that put out incredible amounts of intensely bright light and only draw 1 amp. The downside of the LED lights that I have seen, especially the lower price units is that they have rather poor pattern control and can blind, or at least annoy, oncoming drivers at night. However, they do make you very visible in daylight.