Um, yea because they were intentionally driving the Black at less than maximum acceleration in order to fix the race and let the Electric win. This coming from a show that has been very predominantly anti Electric. Between 70 and 100 MPH, do you really think they weren't flooring both cars? Really? If you have to believe the test was fixed, then fine. Believe what you want. And believing that is the *only* way around the fact that a 4700 lb electric car out accelerated a 3400 ICE car with 630 hp above 60 MPH.
I have no idea what the Black Series driver did or did not do, and neither do you or anybody who is posting here. That is the reason that the speculation on the intent is a footnote to this argument, nothing more. I have no idea why you are choosing to argue based on a footnote.
The fact is that in this video (which, BTW, is not a continuous video, but an edited sequence of cut pieces) the car that the manufacturer rate 0.3s
faster is shown driving
slower. This means that the Black Series had ¼ mile time at least 0.3s more than tested 11.2s. These are the only two conclusions that can be drawn from this edited video.
So the 1/4 mile time of the SLS electric falls somewhere between the P85D Insane and P90D Ludicrous.
And this is impossible, if one takes your advice of comparing horsepower (and let’s not do a switch here, what you were talking about uptrend and in the (unhappy owners) Letter was hp *rating* provided by the manufacturer, not an *instantaneous* hp at a point on the curve) and uses it as you suggest. The 263lbs lighter car that has between 218 and 287hp less (750-532=218; 750-463=287)can’t have the same ¼ mile time as heavier car with less hp.
So than it follows that SLS Electric 750hp worth of motors are limited by the battery output, conservatively at least to 532hp (similar to Ludicrous) or less. This is the reason MB states that the battery has electric load **potential** of 600kW (805hp). They do so because it is a fraction of a second rating, and battery can’t produce it unless immediately before the test surge it was *not* loaded and its temperature was *not* elevated. This is why their battery can’t provide this power at some point during the acceleration when the motors hit the maximum power point on the curve.
I say house of cards because the SLS Electric was one of your two key lynch pin arguments as to why Tesla was valid and correct in simply adding up motor powers in a single combined number for a car that can never produced that number as it is shipped. You've pointed out multiple times that it was OK for Tesla to do what they did because Mercedes did the same yet there is 0 evidence that they did that. Is the video proof? No but it is highly suspect, as others have also pointed out, and certain key elements of that video make it very likely that maximum power in the SLS Electric is well above the claimed 740 hp. Mercedes claims 740 hp on the motors combined and 600KW (805 hp) from the battery. There is no evidence that they didn't achieve this. The fact that the overall capacity of the battery being 60 KWh does not make it unlikely that they could have achieved their claims.
Mercedes SLS electric was not my key lynch pin argument. I was not even the one who brought it up in this conversation – I think it was Darthy001, if I recall correctly – to make the point that listing combined hp rating of the motors *and* the rating of the battery is very simple, in spite of what JB Straubel was saying in his Blog post. Well, it turns out that everybody can be an arm-chair engineer coming with wonderful ideas, but they don’t quite work in real life.
My point was never that it was OK for Tesla to do what they did because Mercedes did the same. You are flat out misrepresenting what all of my posts were about. My point was that Tesla did not use “made-up” hp, aka “fake”’ hp, did not lie, and did not short-change the owners who “did not get what they paid for”. It advertised a car with 691 motor hp, and sold exactly what it advertised, i.e. car with 691 motor hp, capable to go 0 to 60mph in 3.1s. And the motor hp that they advertised was *exactly* the spec that allowed it to beat the predecessor – P85 – by 0.8s in 0 to 60mph.
I was also the one who analyzed ECE R85 and laid out clearly that according to this standard an EV is rated based on motor hp, without taking battery limitation into consideration. All of the people on your side of the argument, including you, disputed this relentlessly and in the face of facts, with great majority without even taking time to read all applicable sections of the standard.
Then, when it became obvious that Tesla indeed rated P85D according to the ECE R85, it over a sudden became irrelevant. If it is irrelevant, why so many on your side of the discussion used words “made-up” “fake” “missing” hp, if not to inflame a discussion, and ignite the indignation with the horrible things done by Tesla.
Well if the fact that hp was “fake”,“made up” was relevant then, than the fact that it was a legitimate rating according to the international standard, used by other manufacturers and the car registration authorities all over Europe is also relevant now. You guys can’t have it both ways.
The peak power to weight ratio does not, but the power put down under a curve, not torque, from one speed to another does exactly defines how fast a car accelerates from one speed to another.
Well that was my point all along, i.e. that while for an ICEs, which have similar torque/power curves the (max) horsepower per pound metrics *is* a valid way to compare different cars, it is not valid between the ICE and an EV, and not even valid between different EVs. For an EV to ICE comparison, or and EV to EV comparison one needs to look at torque/power curves.
Before further expanding on above, the "hp per lb" of weight that you used uptrend (including your calcs), and the one used in the (unhappy owners) Letter were most definitely based on maximum hp rating (i.e. one number published by the manufacturers), not the power under the curve that you now switched to.
As far as physics fundamentals are concerned, as already noted by Stopcrazypp, the acceleration is defined by applied force (second Law of Newton). As applied to the rotational motion,
the acceleration is defined by the applied torque. The acceleration time proportional to total connected inertia and reciprocal to the accelerating torque (the difference between the torque of the motor and load torque).
The acceleration time can be calculated using the following formula:
t[SUB]a[/SUB] = Wk[SUP]2[/SUP] * Delta N / 308 * Ta
Where t[SUB]a[/SUB] acceleration time (seconds);
Wk2 total connected inertia (lb * ft2 );
Delta N speed change during time ta (rev/min);
Ta average accelerating torque (lb * ft) (average motor torque – average load torque);
The reason that peak power per pound is a valid metric to use for comparison of ICE cars is that all of them have similar torque/power curves and all of them are using transmissions to move to the lowest possible gear to maximize torque. In order to minimize acceleration time it is necessary to be on the the portion of the curve with the maximum torque, in the lowest gear, subject to the limit imposed by the maximum hp rating of the engine. So as accelerating car passes beyond point of this max hp, it is necessary to upshift. Upshifting, of course reduces torque due to lower gear ratio, and reduces rate of acceleration.
In the similar fashion, when the car travels at 70mph in the top gear, the torque at the wheel is relatively low because the gear ratio is tall. Downshifting reduces gear ratio and increases the torque at the wheel, but because the engine speed increase, at certain point, as car accelerates, the required power that is proportional to torque and engine speed exceeds the maximum rating, and the transmission need to be upshifted. The power and torque curves of BMW M5 are included below as an illustration.
So the just of all of the above is that both the similarity of the torque/power curves of ICEs and similarity of the method ICE cars are using to maximize the torque at the wheels (transmission shifting) lead to the fact that peak power per pound of weight of the car is a good metric to evaluate how cars accelerate at higher speeds.
The EVs, however, do not have transmissions and have markedly different torque/power characteristics, and comparison between an ICE car and EV using the “hp per lb” becomes meaningless.
Based on the description of the torque/power curve for Tesla EV included in
this post, the torque at higher motor speed depends not only on motor maximum hp rating (and by extension, its maximum torque rating), but also on what speed this max power is reached at.
The sooner the maximum power is reached (in terms of motor speed), the more an EV is tuned to a higher acceleration at low speeds but lower rate of acceleration at high speeds. For another EV with the same weight and maximum hp rating, if this rating is reached at a higher speed, the car will accelerate slower at the low speeds and faster than the first car at the high speeds. The “hp per lb” metric based on maximum hp rating no longer uniquely identifies acceleration at the higher speeds. In fact, there is a trade off between how aggressively car can accelerate from a stand still and how good acceleration at higher speeds is.
The above becomes vividly evident by graphing torque/power curves for different EVs, and one of these days, when I have more time, I am going to provide them (yes, I am painfully aware that it is not the first time I share my intent to do this)
So, in conclusion, the metric that is used to compare ICEs, and the one that you advised Andy to include in the Letter is meaningless for EVs.
As was mentioned in JB Blog, the only true metrics that uniquely define performance of the car are 0 to 60, 1/4 mile, etc, acceleration times.