Billybob16,
Looking at the graphs from post #18 and reading the thread, I agree it looks like once the batteries are full, the charge controller is just turning off. If you want the solar to keep powering the inverter, you need to have it go to a float cycle. A lot of people say to use "No Float" on lithium batteries, and I think that is what is going on here. There is no float current coming from the charge controller. A properly set float voltage is what forces the solar charge controller to provide the current to run the inverter while the battery "floats" fully charged. It looks like setting a float voltage a bit above 53 volts will do what you want. When the batteries get that low, the charge controller will then supply the current needed to hold the voltage from dropping below the desired float voltage, until there is no longer enough sun on the panels. You should have the float voltage set at your maximum safe resting voltage of your batteries. With 16S LFP batteries, I think that works out to something like 3.40 volts per cell x 16 cells = 54.4 volts. How high do you have your absorb and boost voltages set? You want the float a bit below your absorb. Looking back at the solar assistant graphs, it looks like the charge controller is going from Bulk to Absorb at just over 55 volts. That is where the current drops, then the voltage dips a bit, then climbs a little slower until it hits the upper knee and takes off. At that point the current drops to zero. That is where the charge controller stays off until the battery voltage falls to the resting voltage plateau. You obviously still have decent sun still, because at 16:15 or so, it looks like the voltage drops enough, that the charge controller goes back into a bulk charge cycle again. With the float set correctly, it should not need to do that. That may also be where the float voltage is set now, and it is just taking that long to fall far enough. Does your charge controller report what mode it is in? Check it at this time if possible.