GM patents a dual-port charging system for EVs with vehicle-to-load
I'm not sure why you'd want to do both at the same time, but this EV could.
The battery system on an electric car can either charge—from regenerative braking or an external power supply—or discharge—powering the EV's motor(s) or supplying that power via so-called vehicle-to-load. As a rule, it can't do both at once, but General Motors has some thoughts about that. The patent analysis site CarMoses spotted a recent GM patent application for a system that is capable of charging and discharging simultaneously.
The patent describes a "charging system" with a pair of charging ports. One is for drawing power from an external source, just like every other EV. The second charge port is connected to a bi-directional charger, and the battery management system is able to charge the battery pack from the first port while also supplying power from the second port.
That second port could be used to charge another battery, including the battery of another EV, and the patent includes an illustration of three EVs daisy-chained to each other.
