You, or more so your vehicles battery management system has 100% control over your battery pack while connected to the grid, while your vehicles battery management system should be designed for the harsh use that is seen while driving, extreme heat and cold, pushing the vehicles range, short term high amp draw, extended high amp draw and when it's connected to the grid it can throttle back or shut down all together on a whim, something that you don't want to do while driving.
People are already doing this kind of thing with lead acid batteries in grid connected solar electric systems that have battery back up, buy power at night at off peek rates and sell back in the day time at peek rates, it of course requires that you have a power company that goes along with this plan and has prices that make it worth while, but it's not a new idea at all and if done right can turn a profit.
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