While I totally respect TwoTired's knowledgable posts, I would want to hear from someone who had increased the headlight load to know if it had caused the alternator to fail...the stock load may be close to the max. available. If your staying with the regular H.L. wattage then no prob....a relay might help ( don't know why Honda would allow a voltage-drop on the stock wiring tho' ! ).
Er, doesn't quite work that way. The bike is actually powered by the battery. The alternator just recharges the battery whenever the bike's load is less than what the alternator can provide and the battery is below peak voltage. If you increase the bike's electrical load so that the battery cannot get recharged, it drains, lowers it's voltage until their is not enough to spark the plugs. Then the bike won't work until you recharge the battery.
The 750 is rated for 210 watts output at 5000 RPM. Its less at idle, probably about 100 watts. It would be difficult to overload the alternator itself as extra heat generated at the coils would be transferred to the case rapidly. However, the yellow wires to it or the rectifier and its wires would likely melt and disconnect themselves before damaging the stator coil.
As to Honda design...
Some voltage drop in the system is unavoidable. You'll get some with a relay setup too, as all materials have some resistance to electrical current. A new Honda had a bright headlight, with maybe as much as a half volt loss between battery and headlight. However, these bikes aren't new anymore and if you look at the wire diagram you'll find many elements in the electrical path. Some/most of these are exposed to atmospheric oxygen, sulfur, humidity (if not water) and other elements that corrode non-noble metals and degrade their electrical conductivity over time. I don't think Honda gold plated anything in the electrical path so each connection or switch contact is subject to increasing resistance over time. I recently did a work up of the elemental loss points in the path between battery and voltage regulator supply terminal like this:
• Battery post to to battery terminal
• Battery Cable lug to Solenoid Terminal lug
• Solenoid terminal lug to solenoid post
• Solenoid post to Red wire terminal
• Red wire terminal lug to red wire
• Red wire
• Red wire to red wire terminal in inline plug
• in-line plug terminal male to in-line terminal female
• inline terminal to red wire
• Red wire
• Red wire to red wire terminal in fuse block plug
• fuse block plug terminal male to terminal female
• fuse block terminal to red wire
• Red wire
• red wire to fuse clip terminal
• fuse terminal to fuse end cap
• Fuse
• fuse end cap to fuse terminal
• Fuse terminal to red wire
• red wire
• Red wire to red wire terminal in fuse block plug
• Fuse block plug terminal male to fuse block terminal female
• Red wire (to key switch)
• Red wire to red wire terminal in key switch plug
• key switch plug female contact to male terminals
• key switch terminal to internal contact (Red wire side)
• key switch red wire contact to black wire contact inside switch (Black wire side)
• Black wire switch contact to key switch plug terminal
• key switch plug female contact to male terminals
• key switch plug terminal to black wire
• Black wire
• black wire to black wire terminal.
Each of these elements has a resistance. If the wires haven't been subjected to corrosion that reduces it's cross section area, its resistance is the same today as when manufactured. However, all other elements in the list can and usually do change over time.
BTW, if you use this as a guide, you can make a similar list of circuit elements for the battery to headlight path. There are over 30 items in the above list. If 20 of them increase their voltage loss by .05 volts, that's 1 volt less that gets to the systems black wire distribution buss. The path to the headlight has more elements than listed above, giving more opportunity to lose voltage/power at each element.
Cheers,