Use the power above (reduced by the efficiency of the conversion - see below). The current back into the battery will be set by Ibat = P_regen/Vbat.
Vbat will be dependent on the current SoC of the battery (and slightly impacted by battery internal resistance of course). But that's not going to be significantly different than what happens during Supercharging.
It is possible that the conversion electronics within the motors do get too warm, which may be what you're getting at - those would not be in use during Supercharging. But I very much doubt it given the powers in question and the ability of the motors to produce significantly more power on a continuous basis for quite some time, and various other reason. Obviously the power flow is in reverse so it will be different than producing wheel HP, but the heat sinking ability of the motor & regen electronics is probably pretty similar for both power flow directions (my understanding is it uses a lot of common circuitry within the inverter/converter).
We're probably talking about something like 10-15% loss on the AC-DC conversion within the motors. So 4kW of constant power dissipation in the case above. Doesn't seem like it should be limiting. The battery seems like a more likely factor, especially since this issue seems to be the biggest issue when the battery & car is cold (power dissipation issues wouldn't behave that way).
No, I know how to do I = P/V, LOL.
The motor will generate AC naturally at some power level with a tendency to what AC voltage and current? As regen increases, does the current increase, the voltage increase, or both?
As the AC current or voltage increases during regen, do either of these encounter a limit in the system along their path from AC to DC to the battery? e.g. if the wiring/busbars are a certain gauge that can handle 200 A, but regen wants to give you 250 A, what happens? Likewise for voltage.
Do we know the system limitations? It doesn’t just go “backwards” through the DC-to-AC inverter, right? It has to go through a AC-to-DC converter possibly with a transformer behind that??
Or how does it work? I don’t know, but
what I’m asking is how many AC volts and amps will the motor generate at given regen power outputs, and is that a fixed profile based on physical properties of the system, or tunable?
e.g. Will 33 kW of AC power from regen always be 330 V x 100 A? Or can they tune it to output varying amounts like 400 V x 82.5 A? How do these voltage and current levels vary, if at all, for different power levels (50 kW, 60 kW, ...)?
What does the AC go through to get to DC, and does that have input/output limits that force a constraint on regen?
Same question along every point from motor -> AC wiring -> converter -> DC wiring -> battery.
There are at least 5 areas here that may have constraints.
[This is a general question, and not related particularly to your apparent-cold-battery limitation]
I have seen limited regen on
flat driving on the highway when the battery has been sitting at 25C all day and the SoC is in the 60’s. When this happens there are no regen dots while driving under power, but they sometimes appear while regen. The dots then go away as soon as power is applied again.