- #1
Bianca12
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I want to calculate the range of an Electric Vehicle (EV) with a Li-ion battery of 200 Wh/kg.
Parameters
v= 50 km/h = 14 m/s
A= 0.8 m2
d = 500 m
efficiency = η= 85%
mc = 900 kg incl. 100 kg battery
ρ = 1.3 kg/m3
First I have calculated the power of the EV with a speed of 50 km/h and 100 kg battery.
Power car= 1/2η [m v^3/d+ρAv^3 ]=1/(2×0.85) [1000×〖14〗^3/500+ 1.3 ×0.8×〖14〗^3 ]
Power car = 4.91 kW
Energy density battery = 200 Wh/kg. With a 100 kg = 20 kWh
Driving time on a full charge (hours)=(power of battery (kWh))/(power of car (kW))=20/4.91= 4.07 hours
Range (km)=Speed (km⁄h)×time (h)= 50 ×4.07 = 204 km
Is this correct? I am not sure if you can divide the power of battery with power of car.
Parameters
v= 50 km/h = 14 m/s
A= 0.8 m2
d = 500 m
efficiency = η= 85%
mc = 900 kg incl. 100 kg battery
ρ = 1.3 kg/m3
First I have calculated the power of the EV with a speed of 50 km/h and 100 kg battery.
Power car= 1/2η [m v^3/d+ρAv^3 ]=1/(2×0.85) [1000×〖14〗^3/500+ 1.3 ×0.8×〖14〗^3 ]
Power car = 4.91 kW
Energy density battery = 200 Wh/kg. With a 100 kg = 20 kWh
Driving time on a full charge (hours)=(power of battery (kWh))/(power of car (kW))=20/4.91= 4.07 hours
Range (km)=Speed (km⁄h)×time (h)= 50 ×4.07 = 204 km
Is this correct? I am not sure if you can divide the power of battery with power of car.