Thanks,
Quote:
Originally Posted by dcb
. . .
The prius transmission conversions when it needs additional electric (which is fair bit of the time AFAICT to keep all the RPMs right) can get as bad as %70 per this article, though I are not a prius expert/marketer like bob, they may have added more gizmos to help out here
http://www.ae.pwr.wroc.pl/filez/2011...HEV_Toyota.pdf
"Also, the efficiency of the transmission is heavily dependent on the amount of power being transmitted over the electrical path. The latter has multiple conversions, with a low efficiency (70%) compared with the efficiency of the purely mechanical path (98%). Especially in higher speed regimes (>120 km/h [75 mph rjw]) the efficiency (of the transmission alone) therefore drops below that of a generic automatic transmission with hydrodynamic coupler."
. . .
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Please include professor Raf Catthoor's authorship when sharing this paper even though it is in the PDF attribution.
Tracing back via the URL, it looks like this comes from professor Raf Catthoor's lectures:
Automotive Engeneering.
(NOTE: translations from Polish to English sometimes lead to interesting spellings.)
Yet this is what we find when we actually go out and measure NHW11 and NHW20 mileage:
Notice how the NHW11 mileage drop-off matches Catthoor's expectations but fails to predict the NHW20 mileage. There were significant changes between the NHW11 and NHW20 transaxles that the good professor missed:
- Field-weakening replaced by higher voltages
- Efficiency calculations need backup
Understanding how the Prius transaxle works is not easy and there are many subtle aspects that can trip up the unwary.
Field-Weakening
This was first described in "Development of Electric Motors for the TOYOTA Hybrid Vehicle "PRIUS"" Kazuaki Shingo, Kaoru Kubo, Toshiaki Katsu, Yuji Hata, Toyota Motor Corporation where they left this gem:
Quote:
Originally Posted by above
. . . In the flux-weakening control range, motor efficiency is lower than at the maximum torque outputting current phase angle. . . .
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What happens is at higher rotation speeds, these electric motors generate a back-EMF, a voltage that opposes the power current flow. So Toyota uses a technique they call "field-weakening" which applies power outside of the optimum angle before the back-EMF is high enough to block the power current.
To solve this problem in the NHW20, Toyota uses voltage doubling to the motors. The motor back-EMF is still there at high speeds but the higher voltage from the inverter means it does not have to use the inefficient, field weakening until much higher speeds.
In the meanwhile, the NHW11 still uses the straight traction battery voltage and at high speeds, has to use field-weakening. This is why above 65 mph (104 km/h) the mileage begins to drop off:
- 52 MPG @65 mph (104 km/h)
- 39 MPG @75 mph (120 km/h)
Observations agree that the older NHW11 has an efficiency fall-off but Prof. Catthoor missed the primary mechanism, field-weakening. There are supporting aspects that are seen in the data such as:
- ICE in less efficient power region - at higher speeds, the ICE suffers an efficiency hit and in some cases, uses fuel enrichment to keep the exhaust temperatures down.
- MG1 speed limit - nominally 6,000 rpm in the NHW11, it was increased to 10,000 rpm in the NHW20. This means as the vehicle speed increases over 65 mph, the engine has to spin faster than idle, ~980 rpm, to prevent overspeed. A faster turning engine is less efficient. In contrast, the NHW20 goes out to 85 mph before it hits this limit.
Only the NHW11 suffers from this high-speed, efficiency hit. The NHW20 and NHW30 don't or at least don't until speeds approach 85 mph (~136 km/h.) It is inaccurate and misleading to make this claim against all Prius.
Efficiency calculations: "98%" mechanical, "70%" electrical
It helps to measure efficiency such as "Report On Toyota/Prius Motor Torque Capability, Torque Property, No-Load Back EMF, and Mechanical Losses" J.S. Hsu, C.W. Ayers, C.L. Coomer, R.H. Wiles, Oak Ridge National Laboratory, S.L. Campbell, K.T. Lowe, R.T. Michelhaugh, Oat Ridge Institute for Science and Education, ORNL/TM-2004/185.
Quote:
Originally Posted by pp_13
The gear system is a source of mechanical losses. At 6000 rpm, with a 30-kW load, the total mechanical loss (excluding the electromagnetic losses) of the motor and its gears is 7.4%. . . .
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So the direct, mechanical efficiency is 92.6%, not the "98%" claimed by professor Raf Catthoor. But I think I know where the error came from.
As a general rule of thumb, mechanical gears are treated as a 2% loss per set of teeth, a rule of thumb I've seen in the past. One formal paper (I don't have handy but can find if someone needs a reference,) points out the gear stage loss occurs in the interaction of the teeth. Primary losses are hydraulic by squeezing out the oil followed by hysteresis from stressing the teeth. The good professor failed to count the gear stages which are additive.
Now the good professor states:
Quote:
The latter [electrical path rjw] has multiple conversions, with a low efficiency (70%) . . .
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"Evaluationg of 2004 Toyota Prius Hybrid Electric Drive System", R.H. Staunton, C.W. Ayers, L.D. Marlino, J.N Chiasson, T.A. Burress, ORNL/TM-2006/423, Appendix B, pp. 69-85 of Oak Ridge Labs report lists transaxle efficiencies in multiple speeds. There is no single efficiency value because it is a function of multiple variables and the efficiency tables range from:
- 55.5% - lowest found
- 92.7% - highest
In reality, the electrical path efficiency is a function of operational conditions and to claim a single number "70%" is at best misleading and at worse, leads the ignorant to false claims and conclusions. For example, it would be accurate but misleading to 'cherry pick' lab testing data and claim measured Prius transaxle efficiency is:
- 92.6% - mechanical
- 92.7% - electrical
- 92.65% - average
- 92% - four-stage, manual transmission and differential losses
Here, 'cherry picking' data makes the Prius more efficient than a manual transmission but I'm not making this claim.
CONCLUSION
Professor Raf Catthoor made a reasonable attempt to understand Prius operation but field, lab testing and the Toyota papers provide details and insights he missed. Sad to say, his data points, "98%" mechanical, and "70%" electrical do not reflect "in real life" and leads the unwary astray.
Bob Wilson