EV charging cost calculator: methodology

The mistake this avoids

Most EV calculators price the car’s electricity at the cheap overnight rate and stop there. But an EV tariff is a whole-home tariff. Its overnight rate is low, around 7.6p a kWh, and its day rate is high: about 36.7p on average, against 26.32p on the price cap. Everything the house uses outside the cheap window moves onto that day rate.

In a typical home only 15% of electricity is used from 23:30 to 05:30. The other 85% gets more expensive. For a low-mileage driver that costs more than the car saves, and the “cheap” tariff raises the bill.

So, as in the battery calculator, we compare two whole annual bills, house and car together, rather than pricing the car alone.

The calculation

battery kWh       = miles ÷ miles per kWh
home meter kWh    = battery kWh × home share ÷ (1 − charging loss)
public kWh        = battery kWh × (1 − home share)

standard bill     = (house kWh + home meter kWh) × unit rate
                    + standing charge × 365

EV tariff bill    = house kWh × night share × overnight rate
                  + house kWh × (1 − night share) × day rate
                  + home meter kWh × overnight rate
                  + EV standing charge × 365

switching saving  = standard bill − EV tariff bill
charging cost     = cheaper bill − house-only standard bill
                    + public kWh × public rate
fuel cost         = miles ÷ mpg × 4.54609 × pump price

The break-even mileage is where the switching saving crosses zero. The saving grows in a straight line with miles, so it is the house’s extra cost on the EV tariff divided by what each mile of home charging saves.

“Charging cost” is what the car adds to your energy spending on whichever tariff is cheaper for you, plus public charging. That is the fair figure to set against fuel.

Where the numbers come from

The EV tariff

We start from Intelligent Octopus Go (12-month fixed), the largest EV tariff, because its rates are published for every region. That lets us state a national average and a range instead of one region’s price. It is a starting point, not a recommendation: put in your own quote.

Intelligent tariffs bill any charging the supplier schedules outside the window at the overnight rate too, so with smart charging on, all home charging is priced overnight. On a fixed-window tariff, charging beyond what the charger can deliver in the window is priced at the day rate.

The house

The share of the house’s own use that falls in the cheap window comes from the OpenSynth / Faraday (Centre for Net Zero), no-LCT cohort load shape: 509,082 synthetic profiles, filtered to homes with no solar, battery, EV or heat pump. The default consumption is Ofgem’s typical medium home, 2,500 kWh a year.

Public charging and fuel

The car and the charger

What this leaves out, and where it could be wrong

Sources

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