1) considering PHEV charging, like a Hyundai with 5kw charge.. do you think the 18kpv with one PowerPro battery is enough to charge in the evening (or during the day with full solar) when there are no other appliances or AC being used?
I have 2xEG4. in parallel, and two EV's. EV charging is much less difficult than AC motors, it ramps up rather than spiking. I'm using an Openevse EVSE unit which has an API, I adjust the rate on the fly... I keep one vehicle plugged in whenever possible.
Red line on the top graph is the EV. Bottom is the battery SOC & Voltage. You see the spike to 7500W at 1800, drops off at 2000 when I reach my minimum SOC based on Time of DAY. Then around 0030 I let it kick back on as my SOC is high enough to get me thru the night, but I limited the output to 1500W, based on SOC staying in a window as time moves forward. The car hit 100% and turned itself off at 0345ish, morning routines kick in, HVAC and Hot water spikes usage starting at 0530.
A single 18KPV would be quite capable of handling everything in this graph, I never exceeded 12KW of load (Max 10052 around 0515).
The problem with charging in the evening is it's all battery, which is
extremely sub-optimal. You can see the batteries were at 100% and PV was just tracking use, non-the-less as long as you don't need the battery it's a win. Unless you have a LOT more battery (I have 60KWH) this is likely sub-optimal.
Charging during the day is going to depend more on your solar output. You should be able to charge without difficulty at 5700 in reasonable sun, even running your AC and range, assuming you are not pre-heating the oven, with all 4 burners on high, and the AC grinding away. Put a sensor on your inputs and check your demand. Electric clothes dryer + hot water heater really pushes demand up. Normally you should not run over 80% of a rated load for more than 3 or 4 hours, so 9600W steady state. PHEV does not generally require as much charge time. My Sonata PHEV would charge in ~2 hours at 5600. You could simply get an inexpensive adjustable Level 2 and knock it down to 20 or even 16A (3840W) and still charge in a reasonably fast, 3-4 hours.