henry wrote: ↑10 Feb 2023, 00:46
AR3-GP wrote: ↑09 Feb 2023, 21:03
henry wrote: ↑09 Feb 2023, 18:38
I think it needs to be larger to allow for losses. With 2MJ cycled through the ES each lap and 98% round trip efficiency, over 50 laps there will b e 2MJ loss. This means the difference between max ES level at race start and min at race end could be 6MJ.
Are you suggesting a 2MJ capacity fade in 1 race? The teams only are allowed 2-3 ES per season. If what you say is correct, it would not be manageable.
The efficiency should consider how much of the energy you put into the battery, is able to come back out (losses can occur due to side reactions which consume electrons or otherwise de-activate the active material (capacity fade) and internal resistance which dissipates some of the electrical energy as thermal energy (joule heating).
The capacity fade over a race is not 2MJ simply because they'd never finish a season on 2-3 ES if so. So I can only presume this 98% figure references the joule heating. In that case, you don't need to "compensate" by building a bigger battery.
The battery only needs to be large enough to account for capacity fade (which is definetely not on the order of 2% per lap). It will have to be significantly smaller since teams run 2-3 ES per season.
You are right. I’m not saying the battery loses capacity,
I’m saying that the energy level in the battery goes down during the race. It leaks. The energy management measurements happen outside the battery. So the 4MJ SOC refers to the integral of energy going into and leaving the battery management system.
And you’re right there is heating. The C rates are relatively high. If we assume an 8MJ battery and 120kW charge and discharge that’s around a C of 5 for most of the time the ES is in use. At times the charge and discharge rates are as high as 200kW. 98% efficiency at these C rates is quite generous, but I assume these are state of the art and better than run of the mill commercial devices.
So yes you need to compensate by having a battery that is bigger by the amount of MJ loss you expect over a race.
I don't understand what you are trying to say. The only thing the teams need to account for is capacity fade. This 98% number that you mention has no bearing. The joule heating losses are not recoverable. You cannot compensate them by "building a bigger battery" (atleast not in a direct fashion. A bigger battery has the side effect of reducing the current density and C-rate, and thus the joule heating losses are smaller, but this is a secondary effect).
It doesn't matter if some energy "leaks" because in this case the "energy" leakage you refer to is electrons, not the physical material of the battery (for the most part). Electrons are "free" and the battery can be refilled by the MGU-K and MGU-H in so much as the braking and fuel energy allows.
You are thinking of a picture like a bucket of water that has a leak. You want to travel across the desert and you know you are leaking 1 gallong per hour so you start with 2 gallons of water instead of 1 gallon of water to compensate so you can drink 1 gallon on the 1 hour trip.
A battery is not like this. The MGU-K and MGU-H "Create new water" (please excuse the Newton's law violation
). They create as much new water as you need to restore 4MJ of energy for usage in the lap. I think this is the difference between what you are imagining, and the actual battery.
This 98% roundtrip efficiency is only compensated by working the MGU-K and MGU-H harder within the upperlimit of the braking and fuel energy available. It's not compensated by using a larger battery.
A lion must kill its prey.