Motorcycle Repair: charging system, ac volts, dc volts

Question
I have a 1987 Sporty that is not charging. Have a new battery, replaced the voltage regulator, checked all the wires and connections, checked the stator output approx 22-24 volts at 2000rpm. Is it possible for the stator to cut out under a load? If the battery is dead and it is not charging will it run if pushed started? If I push it and pop the clutch it starts and will keep running until I turn it off. This is very frustrating, and makes me not want to ride. Please help!  Thank you.

Answer
A Harley will not run without at least 9 volts on the battery and probably wont turn over.
Did you test for a grounded stator with a OHMs meter? Also, your stator should be putting out 12 to 18 AC volts at 2000 RPM. When you tested it did you test for AC volts or DC volts?
Mike