As others have said, if you have tiered pricing, an electric car may not be as economically advantageous as one would think. I live in City of Austin, we're on a power co-op with tiered pricing. The first tiers are subsidized heavily, the higher tiers are very expensive. This has been my main reason for not getting a Tesla earlier. You have to factor that a Tesla is a non-necessity electrical device, as non-necessity, it should be considered with a cost-basis of the highest tier. I ultimately justified buying a Tesla because City of Austin has a reasonable amount of chargers and a city program that allows unlimited use of ChargePoint for $4 / month. My wife's parking garage has dozens of charge points, so effectively I don't need to charge at home except for convenience or topping off. I also installed solar to offset my power usage.
Long story short, you need to read your bill carefully. Even if your power usage doesn't double, your bill very likely will due to tiering. Example City of Austin tiers are as follows:
Base Electricity Rate/Fees/Taxes for any usage = 4.9 cents per kWh
0-500 kWh @ 7.7 cents per kWh
501-1000 kWh @ 10.7 cents per kWh
1001-1500 kWh @ 12.7 cents per kWh
1501-2500 kWh @ 14.2 cents per kWh
2500+ kWh @ 15.7 cents per kWh
NOTE: like US Federal taxes, you pay the price per bracket as you climb up for just that portion of the range.
So here are a couple example cases:
500 kWh monthly usage = $44 / month
1000 kWh monthly usage = $74 / month
1500 kWh monthly usage = $113 / month
2000 kWh monthly usage = $160 / month
2500 kWh monthly usage = $207 / month
So if your car takes you from 800 to 1600 kWh, your bill jumps from $61 / month to $122 / month or double your bill. If you go from 1600 kWh to 3200 kWh, you go from $122 to $283. So depending on what tier the car bumps you into, you could actually more than double your bill.
If you can get another company (in a deregulated power district) you should absolutely seek a provider that has Time of Use allowances and charge the car in the middle of the night.