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Can I reverse current flow through Auto transformer with AC coupled solar.

Can I reverse current flow through Auto transformer with AC coupled solar? The setup would be 4 multiplus's, 2 in parallel, two sets of 2, split phase, these feeding into an auto transformer then feeding loads at house with AC coupled solar, so the solar would reverse feed current through the auto transformer when producing more than the house is consuming, and then charge the batteries. Can the auto transformer handle the reverse flow? Does it still shift load in reverse?

Autotransformer
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