Hi. I've just completed the most detailed battery size vs range calculation I have done so far. First, let me show you the results:
The calculation includes weight, drag coefficient and drag area. You can find all the details
here. I've included all possible battery sizes so you can see what the EPA rated range would be if the Model 3 was released with that battery size. Especially people who are suggesting 80, 85, 90, 95 kWh packs for the Model 3, should look at these range numbers first because the Model 3 90D would have 353 mi and the Model 3 95D, 370 mi EPA rated range. That's a lot more than the Model S 100D. 90 or 95 kWh packs are not going to happen unless Tesla plans to release 110 or 120 kWh Model S versions before July 1, 2017. However, Elon said twice they won't do that:
16 Sep 2016:
Elon Musk on Twitter Quote: Elon: I think we will probably stop at 100 kWh on battery size.
07 Feb 2017:
Elon Musk on Twitter Quote: Elon: No plans to take X, S (or 3) above 100 kWh. Semi necessarily and pickup truck maybe will go above.
People sometimes assume that we don't know anything about the Model 3. Therefore everything is just a guess. This is not correct. We know a lot. For example, we know the dimensions of the Model 3 because Motor Trend has published that data. We also know the dimensions of the Model S and we know the weight of almost all Model S variants. Therefore, I was able to calculate the weight of different Model 3 variants. Here are the results:
Model 3 Curb weight
Model 3 55 1720 kg
Model 3 75 1809 kg
Model 3 55D 1777 kg
Model 3 75D 1866 kg
Model 3 P75D 1882 kg
To calculate that first I created a table that shows the weight of all Model S variants. Then I subtracted the weight of the following items.
- rear motor,
- front motor, front inverter, front gear box
- battery pack
The reason I did this is because I had weight data for 10 different Model S variants that have different battery size and motor configurations. If I can subtract the battery and motor weights, I would have 10 different numbers for the same thing which reduces error margins. Without any of these, the Model S weighs 1499 kg based on my calculation using 10 different data points. Then I calculated the two-dimensional area of both cars (length x width). That's 9.773 square meters for the Model S and 8.814 for the Model 3. That means, the Model S weighs 153.38 kg per square meter without the motors and battery.
If we assume the same ratio for the Model 3, it should weigh 8.814*153.38= 1352 kg without motors and the battery. It is possible to argue that the Model 3 should weigh more per square meter because it will have a steel frame instead of aluminum. However, the Model 3 won't have a dashboard, no second computer to power the dashboard and only 1.5km wiring instead of 3km. So I think these will balance out the steel vs aluminum frame weight difference.
For example, the Model 3 only has one screen, whereas the Model S and Model X have two screens, and two separate computers powering each screen. The Model 3 has 1.5 kilometers of wiring. The Model S has three kilometers of wiring, so we simplified the wiring system considerably. A lot of the bells and whistles that are present on a Model S and Model X are not present on a Model 3. So, we don't have self-presenting door handles, for example, or falcon-wing doors. These reduce the risk substantially in the ramp and make it just easier to scale.
Source
After that, I calculated and added back the pack weight for different size Model 3 packs. I have considered the fact that 2170 cells have more energy density (more kWh per kilogram). Also, I considered things like the weight of the pack housing vs the modules. WK057 said
HERE the pack housing weighs 250 lb (114 kg). In addition, WK057's battery pack kWh numbers he mentioned
here were also part of the calculation. In other words, I made this calculation as detailed as possible.