PlatinumZealot wrote: ↑19 Aug 2023, 16:53
You missed out on the brake regen calculations even though you mentioned it.
I think brake energy recovery is included in the fuel usage.
Less brake recovery, more fuel usage.
PlatinumZealot wrote: ↑19 Aug 2023, 16:53
Rear brake recovery ~3MJ per lap average (use 50 lap race) = 150MJ
"Energy to speed, net" = 1974MJ
Rear brake recovery is less than 2MJ/lap in current PUs. Some tracks it is around 1MJ.
What is "energy to speed, net"?
PlatinumZealot wrote: ↑19 Aug 2023, 16:53
Increase brake recovery for 2026. Increase rear brake to double harvest = 300MJ. Front brake energy recovery is very heavy machinery, as we see in LMP cars... but I will allow it.. Front brake recovery = 600MJ per race.
Total brake recovery = 900MJ per race.
The limit for recovery for 2026 is 9MJ. But since we are talking using harvesting from braking only.
The average braking per lap, over the season, is ~15s.
The power of the MGUK for recovery is 350kW.
That gives an average energy recovery per lap of 5.25MJ.
Or, for a 50 lap race, a total of 262.5MJ.
Compared to 1,400MJ used to propel the car from the fuel.
PlatinumZealot wrote: ↑19 Aug 2023, 16:53
New cars 2026 fuel weight = 70kg >> 41M/kg = 2,870 MJ. Thermal efficiency with loss of MGUH ~ 45% >> 1,291.5MJ. ( a drop of 800MJ or roughly 40% energy drop.
"Energy to speed deficit" = (2124 - 1291) + (150 - 900) =
83MJ
Thermal efficiency was projected to be ~48%, giving projected 400kW power output of ICE.
PlatinumZealot wrote: ↑19 Aug 2023, 16:53
You need 83MJ more energy to make up for the loss of fuel, if we assume that more brake energy currently lost as heat is recovered at twice the amount on the rear, and a matching, proportional amount on the front (to keep brake balance in line).
This is 23kWhrs.
Front recovery has been disallowed.
In any case, it isn't likely that the energy recovery would be significantly more, since a proposed recovery system with front and rear MGUs had, more or less, the same power as the 2026 regulations.
PlatinumZealot wrote: ↑19 Aug 2023, 16:53
Add in the hypothetical 90% round trip efficiency of the MGUK, that's about 25kWhrs of additional battery.
Basically a second Formula 1 battery. Remember I also allowed for increases in energy density of the batteries the weight might not be double the current battery.
This is very close to coinciding with my prior assumptions. And it should make sense because we are not using mickey mouse numbers, but reasonable assumptions.
A current F1 battery is allowed 4MJ storage (1.1kWh).
Based on a chart you posted earlier in the thread, lithium-ion batteries have an energy density of between 100Wh/kg and 275Wh/kg. Let's be generous and say that F1 ES has 300Wh/kg energy density.
The weight of the current ES is between 20kg and 25kg, as specified by the rules. This includes the cells, clamping plates and cell connections.
So that would be a total energy storage of 300Wh/kg * 25kg = 7.5kWh.
Your theoretical 25kWh difference would require an additional 4 batteries.
In any case, the loss of fuel energy will be compensated by the reduction in drag from the 2026 chassis, not through the increase in electrification.
My calculations were for a full EV F1 car.
To me that is the only scenario where swappable batteries would be contemplated.