Formula and meaning
Battery capacity, start and target state of charge, charging power, and efficiency define an idealized average charging time.
E₍battery₎ = C · (SOC₂ − SOC₁) / 100 · E₍grid₎ = E₍battery₎ / η · t = E₍grid₎ / P
Calculate EV charging time, grid energy and charging losses between two battery states of charge.
Set the inputs and run the calculation.
Battery capacity, start and target state of charge, charging power, and efficiency define an idealized average charging time.
E₍battery₎ = C · (SOC₂ − SOC₁) / 100 · E₍grid₎ = E₍battery₎ / η · t = E₍grid₎ / P
82 kWh from 20% to 80% at 11 kW and 90% efficiency gives 49.2 kWh in the battery, 54.667 kWh from the grid, and about 4 h 58 min.
Charging power is treated as constant. DC fast charging is affected by the charging curve, temperature, vehicle, charger, and battery management; the estimate is generally closer for AC charging. No vehicle-specific charging curve or automatic infrastructure selection is included.
Estimate battery energy, grid energy and time between two states of charge.
Usable battery capacity, start and target SOC, charging power and total efficiency define the balance.
SOC difference applies to usable capacity; P is electrical input power and is not necessarily battery power. Efficiency explains why grid and stored energy differ.
Battery energy = capacity·SOC difference; grid energy = battery energy/η; time = grid energy/charging power.
82 kWh from 20 to 80% at 11 kW and 90% gives about 4 h 58 min.
Sources and limits: Energy balance. DC charging curves, temperature and battery management reduce accuracy.
Estimate battery energy, grid energy and time between two states of charge.
Energy calculators balance quantities over time and separate useful energy, losses and grid import. This matters because power is instantaneous while energy is its time integral.
Battery energy = capacity·SOC difference; grid energy = battery energy/η; time = grid energy/charging power.
Usable battery capacity, start and target SOC, charging power and total efficiency define the balance. SOC difference applies to usable capacity; P is electrical input power and is not necessarily battery power. Efficiency explains why grid and stored energy differ.
Enter usable battery capacity, start and target state of charge, the actual charging power reaching the vehicle (not the wallbox's rated power) and overall efficiency. The calculator derives battery energy, grid energy and the resulting charging time.
82 kWh from 20 to 80% at 11 kW and 90% gives about 4 h 58 min.
SOC difference applies to usable capacity; P is electrical input power and is not necessarily battery power. Efficiency explains why grid and stored energy differ. An annual value describes a scenario, not a guarantee for every day. Efficiency, coincidence, temperature, driving profile and tariff assumptions can change practical results more than rounding.
Capacity and energy in kWh, charging power in kW, SOC and efficiency in percent, charging time in hours and minutes.
Estimating charging duration for trip planning, comparing different charging powers, or checking whether a session can realistically finish overnight or during a break.
Energy balance. DC charging curves, temperature and battery management reduce accuracy.
Common mistake: Don't enter the wallbox's rated power instead of the power actually reaching the vehicle – cabling, the onboard charger and battery temperature can hold real power well below the rating. For DC fast charging, also note the charging curve tapers above about 80% SOC, which this constant-power model does not capture.
The model assumes constant charging power. Real charging curves taper above about 80% SOC, and cold weather, battery management or a weaker wallbox can further limit actual power.
The smallest power in the chain of vehicle, cable and charging point – often either the vehicle's onboard charger or the wallbox/station limits the actual power.
It combines AC/DC conversion in the onboard charger and battery charging losses, explaining why grid energy is always higher than the energy stored in the battery.
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