One question for ya RT.... with the bike running ( say the battery @ full charge, or whatever state of charge you want ), can you remove the battery as to allow the ( prove the ) alternator works like you 'think' it does to keep the bike running ?... Yes or no ?
The answer is conditional.
The charging system delivers power to the POS battery cable. The POS battery cable also distributes power to the key switch and the black wire distribution buss which powers the bike AND is what the vreg monitors and feeds to the alternator field coil to create a magnetic field.
Once the field is excited by the battery, and the alternator spins fast enough to provide all the power the bike requires in the way of load, part of what the alternator provides also keeps the alternator's magnetic field intact. The battery can theoretically be removed at this point (definitely NOT at idle speed). However, when the alternator output drops below a certain voltage and current level, the alternator's magnetic field weakens and the stator coil winding are drained of power before they can develop a decent peak sign wave. And the engine, without the battery supplying buffer power stabilization, will stop.
The bike can run at all speeds without the alternator, and a charged battery of sufficient storage capacity. It cannot run at all speeds without the battery. Which is part of the reason why I like to say the bike runs on the battery rather than the alternator. Further, without the battery smoothing the voltage surges, actual voltage regulation is of diminished quality.
Because the alternator puts out AC, it must be converted to DC via a rectifier. As the diodes turn on and off, spikes in the distribution line occur. The battery provides a very low impedance to these spikes, to keep the magnitude of the spikes to a limited level within the diode withstand limits. Without the battery, these spikes usually exceed the rectifier's absolute maximums, and failure can occur. Further, if there are any other sensitive electrical devices attached to the black wire power distribution buss, transistors, diodes, and other active electronic devices can also be corrupted/damaged without the battery to quash those voltage and current spikes.
For this reason, as well as others, I do not recommend you run the SOHC4 without a battery connected.
Another forum member claims that once a LiFePO4 battery has reached full charge state or beyond, it no longer provides the low impedance the bike normally has with the lead acid battery. I have not verified this claim. But, if true, diodes and other electronic devices hanging off the power buss are in peril, should the battery ever actually reach a full or overcharged state.
Hope this helps,
Edit: Upon re-reading this, I noticed a couple of term errors regarding impedance condition and have corrected them. It is low impedance that quashes voltage and current spikes rather than high impedance. Sorry for the brain fart.
Consider this one rev B of the document.