The solar is not really that relevant to the title of the thread and should really go in one of the solar threads, but here it goes anyways.
(I'll do the calcs in metric and convert and I've used my CAD model for accurate dimensions of the CT parts)
First I'd like to adjust the assumptions a bit. In regards to weight, given the size of the battery bank and that there is no hill that can be driven up that also doesn't produce a fairly similar regen or coast range when driving down it, meaning vehicle mass can largely be neglected in range calculations, bar the extra rolling resistance losses caused by mass, which can add up.
Based on the following dimensions:
I'm assuming that the CT weight can be maintained at that level due to the extra rigidtiy of SS in comparison to Aluminium, and and together with optimsed manufacturing will result in a longer vehicle, with similar cab space but longer external area and bed than a MX.
Given the MX has a range of 330miles, and the CT DM 300miles, we should expect a about a 10% increase from the extra CT aero component if the above is comparable.
Using MX Frontal Area: 24sqft (2.31sqm)
MX Cd: 0.24
we get:
Then we can compare it to the 15mile solar option. This one has more variables, in particular in regards to PV type, season and location etc. and the actual size of the PV n the CT. Using a better grade PV cell shouldn't really increase the price much as it is only a small area.
(BTW I used Dallas and NREL SAM to model the PV outputs below, which are based only daily average 6.76kWh/sqm/day)
Lets at least assume a premium PV (LG - 20W/sqft)) and range at 330Wh/mile with the following dimensions from CAD CT:
Rear Roof Glass Area: 20sft (1.85sqm) = LG 398W = 8miles range (GaAs 498W )
Vault Cover Area: 31sqft (2.85sqm) = LG 614W = 13miles range (GaAs 767W)
Remaining rear area: 11sqft (1sqm) = LG 215W 5 miles range (GaAs 269W)
Total rear roof area of CT: 61sqft (5.7sqm) = LG 1227W 26 miles of range (GaAs 1534W)
If EM's "off the cuff" remark was accurate within 10-20%, or maybe they've already modeled the solar option and he was quoting that, then the vault cover area at 13 miles of range using LG PV cells would actually be feasible at that consumption rate. Especially so if he added the rear roof window area as well or went GaAs. Technically the whole area could be used for about 26miles of extra range.
Ah yeah, I also assumed MPPT and 1 axis tracking of the PV using CT air suspension and about 30degrees of vehicle movement for orientation using "Solar Summon" to follow the sun. You just need a triangular parking spot pointing south...
Based on the above my prediction is that the CT will have a 120kWh pack for the DM AWD version to achieve that range and hover around the 350-370Wh/mile mark. The TM will be a 200kWh pack, and the SM a 100kWh. All with the latest battery type at around $100/kWh, so from the top, $20k, $12k and $10k for the packs. This is the largest single item cost of a EV.
(I'll do the calcs in metric and convert and I've used my CAD model for accurate dimensions of the CT parts)
First I'd like to adjust the assumptions a bit. In regards to weight, given the size of the battery bank and that there is no hill that can be driven up that also doesn't produce a fairly similar regen or coast range when driving down it, meaning vehicle mass can largely be neglected in range calculations, bar the extra rolling resistance losses caused by mass, which can add up.
Based on the following dimensions:
- CT Frontal Area: 25sqft (2.65sqm including exposed tyre area)
- Aero Cd: 0.30
- Rolling Crr: 0.01
- Battery/ESC/Motor eff: 0.85
- Drivetrain eff: 0.95
- Air Density: 1.225kg/m³
- 10MPH/16kmh = total W 1141W of which 44W is aero and 1097W is rolling = 114Wh/mile or 71Wh/km
- 40MPH/64kmh = total W 7159W of which 2771W is aero and 4388W is rolling = 179Wh/mile or 112Wh/km
- 65MPH/105kmh = total W 19017W of which 11890W is aero and 7126W is rolling = 293Wh/mile or 181Wh/km
I'm assuming that the CT weight can be maintained at that level due to the extra rigidtiy of SS in comparison to Aluminium, and and together with optimsed manufacturing will result in a longer vehicle, with similar cab space but longer external area and bed than a MX.
Given the MX has a range of 330miles, and the CT DM 300miles, we should expect a about a 10% increase from the extra CT aero component if the above is comparable.
Using MX Frontal Area: 24sqft (2.31sqm)
MX Cd: 0.24
we get:
- 10MPH/16kmh = MX 1126W or 1% less than CT
- 40MPH/64kmh = MX 6325W or 13% less than CT
- 65MPH/105kmh = MX15455 or 23% less than CT
Then we can compare it to the 15mile solar option. This one has more variables, in particular in regards to PV type, season and location etc. and the actual size of the PV n the CT. Using a better grade PV cell shouldn't really increase the price much as it is only a small area.
(BTW I used Dallas and NREL SAM to model the PV outputs below, which are based only daily average 6.76kWh/sqm/day)
Lets at least assume a premium PV (LG - 20W/sqft)) and range at 330Wh/mile with the following dimensions from CAD CT:
Rear Roof Glass Area: 20sft (1.85sqm) = LG 398W = 8miles range (GaAs 498W )
Vault Cover Area: 31sqft (2.85sqm) = LG 614W = 13miles range (GaAs 767W)
Remaining rear area: 11sqft (1sqm) = LG 215W 5 miles range (GaAs 269W)
Total rear roof area of CT: 61sqft (5.7sqm) = LG 1227W 26 miles of range (GaAs 1534W)
If EM's "off the cuff" remark was accurate within 10-20%, or maybe they've already modeled the solar option and he was quoting that, then the vault cover area at 13 miles of range using LG PV cells would actually be feasible at that consumption rate. Especially so if he added the rear roof window area as well or went GaAs. Technically the whole area could be used for about 26miles of extra range.
Ah yeah, I also assumed MPPT and 1 axis tracking of the PV using CT air suspension and about 30degrees of vehicle movement for orientation using "Solar Summon" to follow the sun. You just need a triangular parking spot pointing south...
Based on the above my prediction is that the CT will have a 120kWh pack for the DM AWD version to achieve that range and hover around the 350-370Wh/mile mark. The TM will be a 200kWh pack, and the SM a 100kWh. All with the latest battery type at around $100/kWh, so from the top, $20k, $12k and $10k for the packs. This is the largest single item cost of a EV.