Most of the prior design studies on compound split hybrids focused on the selection of optimal configurations through evaluating their performance within the physical design space, i.e., powertrain configurations. However, the authors revealed that using the compound lever for the performance analysis dramatically reduces the design space as redundant configurations exist for a single compound lever design, resulting in computational load reduction. Nevertheless, using the compound lever results in the loss of information required to realize the given configurations as these two configurations are represented by two different sets of variables. The powertrain configuration is defined by two physical design variables, i.e., gear ratios of the two planetary gears. However, the compound lever design is defined by two nonphysical design variables, α and β, which are the vertical bar lengths between the output node (vehicle) and the two motor/generators' (MG) nodes. Thus, if the compound lever is used as a design tool, the selected designs should be converted into powertrain configurations. This paper introduces an automatic methodology to generate feasible powertrain configurations for any given compound lever using generic conversion equations that express the relationship between the nonphysical design variables, α and β, and the physical design variables, gear ratios. Conversion maps relating the 252 powertrain configurations to the compound lever design space were generated, and the results confirmed that the compound lever removes the redundancy existing in the physical design space.

References

References
1.
Muta
,
K.
,
Yamazaki
,
M.
, and
Tokieda
,
J.
,
2004
, “
Development of New-Generation Hybrid System THS II-Drastic Improvement of Power Performance and Fuel Economy
,”
SAE Trans.
,
113
(
3
), pp.
182
192
.
2.
Ito
,
M.
,
Adachi
,
M.
,
Endo
,
H.
,
Isogai
,
A.
,
Omote
,
K.
, and
Uchida
,
T.
,
2007
, “
Hybrid Transmission Development for AWD Luxury Cars
,”
SAE
Paper No. 2007-01-4122.
3.
Kobayashi
,
K.
,
Yashiro
,
T.
,
Takekawa
,
H.
, and
Fujita
,
K.
,
2013
, “
Development of New Hybrid Transaxle for Front-Wheel Drive (FWD) 2.5-Liter Class Vehicles
,”
FISITA 2012 World Automotive Congress
, Beijing, China, Nov. 27–30, pp.
343
353
.
4.
Taniguchi
,
M.
,
Yashiro
,
T.
,
Takizawa
,
K.
,
Baba
,
S.
,
Tsuchida
,
M.
,
Mizutani
,
T.
,
Endo
,
H.
, and
Kimura
,
H.
,
2016
, “
Development of New Hybrid Transmission for Compact-Class Vehicles
,”
SAE
Paper No. 2016-01-1163.
5.
Suzuki
,
Y.
,
Nishimine
,
A.
,
Baba
,
S.
,
Miyasaka
,
K.
,
Tsuchida
,
M.
,
Endo
,
H.
,
Yamamura
,
N.
, and
Miyazaki
,
T.
,
2017
, “
Development of New Plug-In Hybrid Transaxle for Compact-Class Vehicles
,”
SAE
Paper No. 2017-01-1151.
6.
Grewe
,
T. M.
,
Conlon
,
B. M.
, and
Holmes
,
A. G.
,
2007
, “
Defining the General Motors 2-Mode Hybrid Transmission
,”
SAE
Paper No. 2007-01-0273.
7.
Hendrickson
,
J.
,
Holmes
,
A.
, and
Freiman
,
D.
,
2009
, “
General Motors Front Wheel Drive Two-Mode Hybrid Transmission
,”
SAE
Paper No. 2009-01-0508.
8.
Miller
,
M. A.
,
Holmes
,
A. G.
,
Conlon
,
B. M.
, and
Savagian
,
P. J.
,
2011
, “
The GM ‘Voltec’ 4ET50 Multi-Mode Electric Transaxle
,”
SAE
Paper No. 2011-01-0887.
9.
Conlon
,
B. M.
,
Blohm
,
T.
,
Harpster
,
M.
,
Holmes
,
A.
,
Palardy
,
M.
,
Tarnowsky
,
S.
, and
Zhou
,
L.
,
2015
, “
The Next Generation ‘Voltec’ Extended Range EV Propulsion System
,”
SAE
Paper No. 2015-01-1152.
10.
Kim
,
H.
, and
Kum
,
D.
,
2016
, “
Comprehensive Design Methodology of Input- and Output-Split Hybrid Electric Vehicles: In Search of Optimal Configuration
,”
IEEE/ASME Trans. Mechatronics
,
21
(
6
), pp.
2912
2923
.
11.
Bayrak
,
A.
,
2015
, “
Topology Considerations in Hybrid Electric Vehicle Powertrain Architecture Design
,”
Ph.D. dissertation
, University of Michigan, Ann Arbor, MI.https://deepblue.lib.umich.edu/handle/2027.42/111412
12.
Adam
,
H.
,
2014
, “
Automated Topology Synthesis and Optimization of Hybrid Electric Vehicle Powertrains
,”
Master's thesis
, University of Waterloo, Waterloo, ON, Canada.https://uwspace.uwaterloo.ca/handle/10012/8810
13.
Zhang
,
X.
,
Eben Li
,
S.
,
Peng
,
H.
, and
Sun
,
J.
,
2015
, “
Efficient Exhaustive Search of Power-Split Hybrid Powertrains With Multiple Planetary Gears and Clutches
,”
ASME J. Dyn. Syst., Meas., Control
,
137
(
12
), p.
121006
.
14.
Barhoumi
,
T.
, and
Kum
,
D.
,
2017
, “
Automatic Enumeration of Feasible Kinematic Diagrams for Split Hybrid Configurations With a Single Planetary Gear
,”
ASME J. Mech. Des.
,
139
(
8
), p.
083301
.
15.
Liu
,
J.
, and
Peng
,
H.
,
2010
, “
A Systematic Design Approach for Two Planetary Gear Split Hybrid Vehicles
,”
Veh. Syst. Dyn.
,
48
(
11
), pp.
1395
1412
.
16.
Benford
,
H. L.
, and
Leising
,
M. B.
,
1981
, “
The Lever Analogy: A New Tool in Transmission Analysis
,”
SAE
Paper No. 810102.
17.
Conlon
,
B.
,
2005
, “
Comparative Analysis of Single and Combined Hybrid Electrically Variable Transmission Operating Modes
,”
SAE
Paper No. 2005-01-1162.
18.
Yang
,
H.
,
Cho
,
S.
,
Kim
,
N.
,
Lim
,
W.
, and
Cha
,
S.
,
2007
, “
Analysis of Planetary Gear Hybrid Powertrain System Part 1: Input Split System
,”
Int. J. Automot. Technol.
,
8
(
6
), pp.
771
780
.
19.
Yang
,
H.
,
Kim
,
B.
,
Park
,
Y.
,
Lim
,
W.
, and
Cha
,
S.
,
2009
, “
Analysis of Planetary Gear Hybrid Powertrain System Part 2: Output Split System
,”
Int. J. Automot. Technol.
,
10
(
3
), pp.
381
390
.
20.
Shi-Hua
,
Y.
,
Hong
,
L.
,
Zeng
,
P.
, and
Xiong
,
W. B.
,
2012
, “
Analysis of the Compound Split Transmission Based on the Four-Port Power Split Device
,”
J. Beijing Inst. Technol.
,
21
(
1
), pp.
50
57
.
21.
Wang
,
W.
,
Song
,
R.
,
Guo
,
M.
, and
Liu
,
S.
,
2014
, “
Analysis on Compound-Split Configuration of Power-Split Hybrid Electric Vehicle
,”
Mech. Mach. Theory
,
78
, pp.
272
288
.
22.
Barhoumi
,
T.
,
Kim
,
H.
, and
Kum
,
D.
,
2017
, “
Compound Lever Based Optimal Configuration Selection of Compound-Split Hybrid Vehicles
,”
SAE
Paper No. 2017-01-1148.
23.
Kim
,
N.
,
Rousseau
,
A.
, and
Rask
,
E.
,
2012
, “
Autonomie Model Validation With Test Data for 2010 Toyota Prius
,”
SAE
Paper No. 2012-01-1040.
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