WhiteBlue wrote:
Equally to Canada I made the assumption that average brake power is 50% of max Brembo brake power.
Thing is, the graph of power vs time during a F1 braking is far from linear, the very high peak lasts very little time because the grip is strongly related to downforce hence speed.
At high speed you have very high grip (and drag contributing to deceleration too) but as speed decreases, and it does it quick... the rate of deceleration decreases quite rapidly too, and with it the power applicable.
This means that in practice the majority of braking time is spent at relatively low speed, and with relatively low power applicable, thus average of power applied in braking is not 50% of max, quite a bit less.
For instance, if we take the velocity profile from Alonso's Monza race lap last year:
Calculate total power as (v*a*mass), remove from it an estimate of the power of aero drag (assuming rho SCd = 1.28 kg/m, which means aero power at peak speed = 475kW), and multiply by 0.45 (rear brake bias), what we get as estimated power applied on rear axle is this:
blue is the total applicable with available grip, green indicates 120kW level and red dotted indicates the max recovery rate usable.
Integral over time of red dotted gives the ideally recoverable energy, 1.45 MJ.
And that is assuming that the electronic bias control allows to completely override the rear hydraulic circuit doing the braking on rear end solely with the MGUK at low speed.
If that is not possible, or not desirable for example for driver's feeling/feedback related reasons, recoverable energy is even less.
Same calculation repeated for Abu Dhabi race lap again from Alonso:
Power removed aero drag power (here assuming rho SCd is 1.56kg/m) and rear axle only:
Integral of red dotted => 2.05MJ.
I picked these two tracks because in my experience from having done similar calculations in the past, Abu Dhabi is one of the best tracks for energy recovery in braking, while Monza is one of worst, so the above can be IMO a good indication of the two extremes.
Which means that in almost all tracks recovery 2MJ from braking, lap after lap, will be quite challenging, in not few just impossible.