Where does the I2R dissipated in the battery fit in with those observations?
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Note: I'm going to use 'motor' here . Electric machine would be more correct.
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Petrol engine effiency increases with load.
At low power there are considerable pumping and turblence losses as the engine creates a vacuum against the mostly closed throttle. At idle losses are high. The engine is doing little more than running the alternator but dumping a lot of heat and some noise.
Effiency improves when the engtine is providing traction power and is typically best near full power.
Diesels don't have pumping losses and genereally hit peak efficenty around 50% power and stay close to that all the way to 100%. Depends a lot on the engine design of course.
Some modern petrol engines adust valve lift to reduce pumping losses. I suppose that makes the curves look more like a diesel.
So while you do have v
2 losses, the thermal effiency gets better. Fuel economy does not suffer as much as it would if the car had the same loss at idle as it does at 70% power.
BEVs are the other way around. Effiency at idle is very good. There is a DC-DC converter that provides power to the accessories. The heatpump (Aircon) compressor uses a 3-phase motor. At idle, the traction motor draws no power.
Like a combustion engine car, power required goes up approximatly by v
2 because of the various drag components. Watts = E*I.
So current goes up linear with power. This ignors motor losses, which go up with RPM in some designs, espcially PM motors like the one Nissan use.
Power lost due to resistance in the traction battery, inverter and elecric machine goes up by W = i
2R. R is small, but i isn't. The losses are big enough that the motor and inverter need liquid cooling. In cars with only passivly cooled batteries, (Nissan again) the pack gets hot and can even go into thermal limiting.