The panels are not going to be making 10kW all day, in fact, it only gets there every once in a while. Try using a smaller solar panel and some sort of data logger to get an idea of actual production. You still need to size the wire to safely carry the maximum current, but you can use typical production when oversizing for efficiency reasons, maybe even not have to oversize at all.
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To my surprise, shortly after Naomi Wu gave me a bit of fame for making good use of solar power, Allie Moore got really jealous of her...
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