Hi @tlspambait
Unfortunately, you cannot add a small (DC) wind generator to your existing system as it cannot integrate with the Sungrow & LG chem battery system. There is no way for the battery to (communicate) control the wind turbine and tell it to ramp down or turn off when it has reached full capacity. The wind turbine will keep spinning and overload, causing damage.
The only way to add a wind generator would be to use a more expensive AC wind generator which is grid-connected, but it will still not be able to charge the battery directly, it will only help offset some consumption. However, the cost of setting this up will far outweigh any savings from buying 1-3kWh of
electricity from the grid.
In my experience with small-scale wind turbines, I have concluded that is far easier and more reliable to just add more solar (if possible). Small cheap wind turbines can be very problematic.