In my picture you can see there is 1.63KW coming from solar, charging the battery with 1.19KW. So I think my consumption should be 1.63-1.19=0.44KW and not 1.63+1.19.
I think you should adjust your configuration, consumption is indeed the sum of all, however, since you mentioned the solar is charging the battery, your battery power sensor needs to be inverted.
As specified on the configuration page it’s said that a battery power sensor that is charging should be negative instead of positive.
Yes, I think configuring inverted means Home Assistant will create a new sensor, with it’s own statistics. So only after statistics (every 5 minutes) has been generated will it show up correctly.