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Self-consumption and large loads (like EVSE)?

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Let's say you have two Powerwalls and you're configured in a whole-home backup configuration. If I were to install a 48A (continuous) EVSE and then try to charge at 48A at night while in self-consumption mode what would the Powerwalls do? The car + the normal background loads will likely exceed the max output of the firewalls. (That's why Tesla has a bunch of information on charging when the grid is down, I'd imagine.)

I understand that best practice would be to NOT have EVSE backed up but I am considering installing the Span Drive so that I can charge at a faster rate than I would otherwise be able to do, and if I do that I'm wondering how the Powerwalls will behave.

I would LOVE the ability to limit the Powerwall output to exclude the EVSE (and thus draw from the grid), but I don't imagine that will happen soon.