ringo wrote:For white blue, this is smikle's calculation a while back in the engine thread. You really need charts or a program to find enthalpies.
First you deal with the compressor work. This comes off the turbine.
After doing all smikle has done, you can look at the quality of the exhuast that's left back to figure out how much load the turbine can take.
This is all limited to the exhaust energy, you can't get more than that, and you can't take it all.
I will try and do a whole calculation, engine and turbine, but it's going to take some time, since i have to refresh my memory.
That calculation applies to the compressor side which I assume needs less power compared to the potential in the exhaust gas. The reason I make this basic assumption is the history of super efficient piston aero engines after WWII and serially turbo charged plus turbo compounded commercial truck engines you find today.
Both types of piston engines are extracting a lot more power from the exhaust gas than their turbo charging requires. The turbines that were used on the Wright R-3350-972TC-18 of the Super Constellations were said to have turbine efficiency of 82%.
Unless I'm badly mistaken the R-3350 used a set of three single spool axial turbines and not radials. So let's assume that we would also use a one or two stage axial turbine.
If we forget the weight penalty of electric turbo compounding and charging for a moment we can focus on finding out what kind of power an electric turbo compounder can really extract under sensible conditions from a 2013 formula one engine.
The R-3350 recovered 22% of the primary engine power from the exhaust which we can probably increase to say 26% due to more modern methods achieved in the last 55 years of turbine construction. So assuming 650 bhp engine power our target is 169 bhp turbo compounded mechanical power yielding 119.8 kW electric battery power after applying the generator efficiency.
If I use n smikle's calculation but use my own mass flow assumption of the engine which reflects the higher efficiency of the 2013 engine and I apply electric motor efficiency of 95% I come to a compressor requirement of 72.6 kW battery power. The net difference of 47.2 kW would be permanently available for electric propulsion. If I consider that the engine will run on average at 80% effective peak power and I loose 5% for battery to mechanical power again I end up with another 0.215 GJ of race energy.
To put that into perspective the whole KERS system was supposed to generate 0.132GJ of race energy if we achieve a recovery target figure of 2.2 MJ/lap. I am convinced that installing a reduced KERS system and using the saved weight for an electric turbo compounder and charger would be more efficient.
Alternatively to a hybrid turbo charging system I would also look at a twin spool turbine that would drive the charger on one spool and the compounder via a reduction gear on the crank shaft by the second spool. The first spool would be designed with variable vane to avoid the use of a waste gate and eliminate turbo lag. That combined turbo charger/compounder would be potentially more efficient than the hybrid design due to weight advantages and no conversion losses. It would be a sophisticated piece of kit with some cost but it would meet the objectives of bringing efficiency technologies to the automotive market.