Does a VFD or EV charger count as a continuous load?

Yes for EV charging: NEC 625.41 treats EVSE as a continuous load, so overcurrent protection and conductors are sized at 125% of the charger rating. A 40 A Level 2 charger therefore lands on a 50 A circuit, typically with #6 copper conductors. VFD loads are not called out the same way, but any load expected to run at full output for three hours or more is continuous under NEC 210.19(A)(1).

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