Kirby64
Member
I won't suggest using a cylindrical wire. Cross section would be most likely rectangular.
Heat capacity of copper: 38.5J/degC per 100g
1J = 0.000277778 Wh
23.6kg / 100g * 38.5J / degC * 0.000277778 Wh/J = 2.524 Wh/degC
P=100kW
Temperature change of the copper wire in 1 second = 100kW / 2.524 Wh/degC /3600 = 11 deg C / second
In 5 seconds and braking by 100kW the wire's temperature changes by 55 deg C. Then this heat has couple of minutes to flow into the cells until the next braking.
This looks totally doable to me. However it adds weight and cost. These can be reduced by using different material. And most likely the electric heater is cheaper but slower.
pretty simple modification
I'm braking and battery is cold so I can't store the energy elsewhere. Not sure what efficiency are you referring to? Anything that went into the wire is warming the battery.
It adds weight though. Just by looking at the numbers, sizing the system to 50kW the weight could come down. Adding a heater like in Model S adds weight as well.
I think you're underestimating how often you need to brake and the amount of power that's added to a system here. If I only get one brake every few minutes before you heat soak the wire, it's next to useless. I'd say at minimum you need to be able to handle 30 seconds of braking before any sort of 'cooldown' period.