How much heat will we generate in the motor controllers - we don’t want to do a crazy over designed cooling solution because we know we can do better.
The motor datasheet specifies the heat dissipation in terms of current and voltage. The current will be higher when we need more torque from the motors, so we look for hills in the route map (ASC 2018 data) and see how much power we will need to dissipate. We will also look at the case of accelerating from stop to full speed, then maintaining that full speed (which we will likely do at some point during testing).
Aiming for 16.6m/s throughout the race. These calculations are all done
Average torque is 15.7Nm
Average of all the positive torques is 17.2Nm (treating the distance between each 2 points as identical).
^Note that the above torques are for the
This data is the map from ASC 2018 with waypoints along the route. We will look closer at the hills at the 1.3 and 2.5 markers.
At 1.5: climbing 1100 over 120km, 13Nm
At 2.5: climbing 800 over 160km, 9Nm
How long will these hills take?
120km @ 16m/s = 7500s = 125minutes, so we can assume this to be steady-state.
Emergency services testing track hill:
Using a combination of this site for elevation and google maps for distance, assuming the distance google gives is the hypotenuse of the triangle:
https://www.mapcoordinates.net/en
https://www.google.com/maps/dir/43.4365484,-80.5795813/43.434044,-80.576786/@43.4357277,-80.5800187,966m/data=!3m1!1e3!4m2!4m1!3e1!5m1!1e4
369m to 384m over 350m gives a 2.5 degree hill.
Heartland Motorsports Park (FSGP 2020 / 2021?)
Looks pretty flat.
COTA Turn 1 (FSGP 2019)
Roughly a 30 metre elevation gain over 210m, assuming the distance google gives is the hypotenuse of the triangle.
https://www.google.com/maps/dir/Circuit+of+the+Americas,+9201+Circuit+of+the+Americas+Blvd,+Austin,+TX+78617,+United+States//@30.131248,-97.6388914,664m/data=!3m1!1e3!4m9!4m8!1m5!1m1!1s0x8644b03ad152eaf9:0x8ae827dd1ff5e0ed!2m2!1d-97.6358511!2d30.1345808!1m0!3e1!5m1!1e4
30m rise over a 210m hill gives a degree of 8.21 degrees
From ASC 2018
List of the 10 steepest portions between two navigation points and torque requirement per wheel.
Angle 13.125 and torque requirement 213.133 over 59.923 metres
Angle 11.526 and torque requirement 188.117 over 28.771 metres
Angle 11.373 and torque requirement 185.715 over 85.577 metres
Angle 10.542 and torque requirement 172.631 over 88.187 metres
Angle 10.435 and torque requirement 170.955 over 29.996 metres
Angle 10.045 and torque requirement 164.805 over 48.502 metres
Angle 9.878 and torque requirement 162.166 over 89.985 metres
Angle 9.744 and torque requirement 160.053 over 57.792 metres
Angle 9.483 and torque requirement 155.932 over 57.288 metres
Angle 9.47 and torque requirement 155.732 over 42.049 metres