Ok so for the EV car alone charging at 11KW and a capacity of 22KW i'll need 16s2p right?
You are confusing power and energy, which makes answering your questions guesswork on our part.
Do you mean your EV has a 22kWh battery? A Renault Zoe?
EV car alone charging at 11KW
Do you really need to run an EV charger at 11kW
all the time?
I can understand if you do a long morning drive, run out of charge and need to charge up as quickly as possible so you can a drive again later that day (in which case I'd be going to a fast charging station, not going home). If instead you are mostly expecting to charge your EV overnight, then it doesn't need to charge at 11kW.
If the EV is 22kWh (not sure, hard to say until you confirm) then an 11kW charger will fill it in ~2 hours. It may take a little longer to get right up to 100% as often the charge rate is reduced as the battery reaches high state of charge.
But if say it is parked overnight and can be charging for 8 hours, then it only needs to be charging at 22kWh / 8 hours = 2.75kW (on the AC side). And if the EV battery has not been fully discharged and is instead only needing 10kWh of recharge, then over 8 hours it only needs to be charged at 1.25kW.
16s2p is just the configuration of a battery pack. It does not tell us how much energy capacity that pack has.
If you mean 280Ah cells, then 16s2p would be a 48V (nominal) x 280Ah x 2 =26.8kWh (nominal). That would be the absolute minimum required to fully charge a depleted 22kWh EV battery.
Of course this assumes on that day your solar PV system was able to generate enough energy to fully charge your home battery (as well as supply energy to everything else). What happens when the weather is not so good for a few days (or a week or more) and you no longer have the grid to supplement your needs?
What home EV charging solution is suitable for your EV will depend on many things...
How much you drive / how much energy your EV uses each day/week.
When the car is parked at home and can be charged (during the day or only at night)
Typically how long can it be plugged in for.
How much storage and PV capacity you need to get through long periods of poor solar production.
Without doing a basic energy audit, talk of what size battery pack or what sort of charger you need is pointless.
This is almost literally putting the cart (EV) before the horse (power).