First spend $21 for a monitor/shunt.
You really need to know what the draw on your setup is, now and going forward. It will also let you know when you have everything on when your inverter is starting to max out by monitoring what is being pulled from your batteries as far as amp draw. It will also let you know when you need to increase your AH in your battery bank, meaning more battery's. Of course it is not the only thing that you consider but for sure you will see your load on your battery pack with inverter is on with a load and what the power drain with it off.
Are your 2 inverters in the same solar system?
Yes
If so, do you have separate battery banks for each?
No, both on the same bank of batteries. Previously i had two separate battery banks, separate controllers, separate panels. I combined everything.
I want to add some Li batteries, I have 4 sealed AGM batteries now, but my impression is that the battery banks need to operate as a unit their entire life.
First, do not mix and match your batteries, LPO4-Flooded-AGM-etc, they all have different charging and life characteristics. Even mixing different age batteries from the same manufacturer can cause problems.
So, if I make a second battery bank, it would need it's own charge controller I presume, (
Yes) but can the two systems feed into one inverter?
When you connect your inverter using double cables to connect both battery banks, you will also be tying both battery banks together at the same time possibly creating charging and use issues like mentioned above.
I guess I'm wondering why you have 2 inverters?
I started with two totally separate systems, panels, controllers, battery's, inverters, etc, to feed two separate manual transfer switches to power different circuits in my home. Then as my system grew, I purchase a 110/220 volt inverter to power my well pump which is 220. In doing this I just decided to combine everything since all of my LPO4 batteries were within a year of being new and all were the same brand. They all equalized well together. So I have a large bank of 12 , 100 AH batteries, wired 6p/2S making 24 volts. This powers appx 80% of my 110 needs for my house as longs as the sun is shining daily. Lights, wall plugs, TV's, microwave, washer, even a ductless hvac unit in our master bedroom when needed. Also with the second inverter,a 110/220 volt, it can power the well pump. Things i cannot power is whole house hvac, dryer and stove. I do have a regular electric 220 volt hot water heater but replaced the lower ac element with a dual probe 36 volt/2400 watt element. I power it by to strings of 3-305 watt solar panels hooked directly to each side of the heating element. My AC element rarely turns on as longs as the sun shines every day.