You realize that 15% more voltage will at most give you 15% more RPM before the torque falls off?
So if a 96S pack falls off at 55MPH, a 110S pack would fall off at 63 MPH? This isn't that big a change.
I am not primarily talking about
more power.
All I am saying is that the motor need more voltage supply to deliver full power than a 96S model 3 battery can deliver below the optimum small SOC band (403V resting voltage and perhaps 350V at high SOC /full power).
So if the motors need 350V but the voltage droops below that number the power will suffer and reduce.
The reason is that voltage is the factor that drives current and when the voltage is below the voltage needed for a certain current, the current will be lower and the power will also reduce.
Increasing the battery voltage means that the battery can hold the needed voltage at full throttle at a lower SOC, which will make it possible to keep the power despite lower SOC.
This is what was done with the Plaid battery by increasing the number of cells in series.
What I did not say in my first post but we ended up touching was that the extra voltage can be used to counter the torque droop at higher rpm. Maybe not the sole action to keep power at higher rpm but as a part to it. Just like the reduced clearings from the carbon fiber windings.
And you keep focusing on SoC, but you're forgetting that if we go from 96S to 110S, with the same number of cells, and that somehow allows us to pull more power, by definiton we are pulling more current out of each battery.
Are you sure the batteries can handle this?
Yes, Im sure.
Of course we need to make sure the current in a cell is within the tolerable C-rating for the cell (Tesla of course knows how much they can pull).
If you have two packs with the same number if cells, one with many cells in parallell and one with many cells in series, the pack can deliver the same power for the sake of the battery.
Each cell can do a certain C-rate or Amphs, so for example, for example around 100 Watts for the M3P 2170 cells.
It doesnt matter for the sake of the battery if it is 50cells in parallel and 100 (420V) in series or the other way around. For the cells itself it will be the same amphs/C-rate and power.
But if we have a motor that need the full voltage of 50cells in series (50x4.2 = 210V) to produce full power it will never do that if we use a battery with 50cells in series. When the battery is burdened with the load of the motor, the output voltage will droop and due to this, the amphs that the motor draws is also reduced (due to the internal resistance in the motor).
So we need a overhead voltage to cover the voltage droop. If we would like to have the full power over the range of the battery SOC we need to have the voltage reduction from the reduced SOC taken into account as well.
When we end up with a battery that can deliver the needed voltage during load over the SOC range we can keep the motor output power.
This is what Tesla made with the Plaid (+ making it possible to heat the battery as voltage droop is higher at load with low SOC, as it has higher internal resistance there.
Of course we could pull more power if we put more cells in, but that costs money and weight.
Finally, why are you so focused on 320V as the only motor voltage we can have. Why not leave the battery 96S and make a 280V battery?
I hope you understand that the voltage reduces with SOC.
A Panasonic NCA cell has 4.20V max cell voltage at 100% with no load.
It has about 2.5V or slightly more at 0% true SOC but as Tesla has the 4.5% buffer the 0% on screen is about 3.1-3.2V no load voltage.
So a 96S pack holds ~ 403V at full charge and no load.
And it holds about 100V less at 0% on the screen.
At load, the internal resistance is depending on the cell temperature and also on the SOC. Higher internal resistance means higher voltage droop.
This is just an example, not a specific chart fort the batteries we talk about.
Higher internal resistance = higher voltage droop, and as long as the resulting voltage droop cause the battery to go below the supply voltage the motor needs to deliver the set power it will not deliver what we want.
If you (and others) do not believe me, it is time to start thinking of an explanation for yourself about why the model S Plaid did get 110 cells in series instead of 96 as Tesla used all the time (except for some cases with some smaller packs, which also caused these cars to deliver lower power).
(The older S 100D have 8256 cells in total for 102kWh, in 96S / 403V and the plaid has 7920 cells, in 110S / 462V.)