OK I'll try again and have made some assumptions on how inverters work! If my assumptions are incorrect then someone please let me know.
Inverter is turned on and analyses the voltage at the terminals. I don't know what the current the inverter consumes at this time but I would assume its very small. But if you have a 100m cable run there will be a small volt drop. So lets say there is 240V at the head and with the inverter in its start up mode there is 239V at its terminals. So the inverter decides on what voltage to start outputting, lets say its 239V + 2V = 241V.
When the inverter kicks in it starts to output some current, this current now needs to flow in the opposite direction to the initialisation current and the inverter voltage needs to be higher than the 240V at the service head. Without having any remote sensing then the inverter must work out what it has to do from its own terminals measurements. So my guess is that the inverter will increase the terminal voltage until the current it is generating flows in the right direction, so in effect will 'experiment' with its terminal voltage, and as the current is now flowing from inverter to service head, voltage at inverter will be at some voltage 240V + xV.
Depending on what power the array is generating then the added voltage value (xV) will fluctuate betwee cloudy and sunny times of the day and will be dynamically adjusted to ensure the current flows in the right direction (inverter to head), whilst compensating for the variable volt drop (due to varying current) from the cable to the sub main, and it'll also have to compensate for the variable voltage at the service head.
Hope that makes it clearer! As said previously I've made some assumptions of how an inverter works.