130530-2202 EDT
crtemp:
Here is my wild guess of a solution.
Your total loop length is 2*690 = about 1400 ft.
A ballpark figure for full load current is 746 /240 = 3.1 A. 746 = 1 HP and using that as a ballpark for a 3/4 HP to account for inefficiency and PF may be low, but this I will compensate for by over estimating peak inrush at 10 times running load.
So that is 30 A at startup.
An A. O. Smith B642 3/4 HP 230 V motor is rated about 4.6 A full load. About 30% higher than my wild guess.
If we assume you really have 240 normally and don't want more than 20 V drop at startup, then maximum wire resistance would be 20/30 = 0.67 ohms. #6 is about 0.4 ohms per 1000 ft or about 0.56 ohms for your loop length. I think this is larger than what you really need for several reasons.
You need to know what your nominal voltage really is.
You need to know what a realistic maximum series resistance is for motor startup with your normally expected minimum nominal voltage. This will determine your wire size. In a long run like this running current is not a factor. So motor performance at startup is the criteria. Your motor running load will not overheat the wire under run conditions, because voltage drop under startup is the dominate criteria.
Interesting side subject ---
http://www.datasheetcatalog.org/datasheet/vishay/305cseri.pdf
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