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Optimal design of three-planetary-gear power-split hybrid powertrains

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Abstract

Many of today’s power-split hybrid electric vehicles (HEVs) utilize planetary gears (PGs) to connect the powertrain elements together. Recent power-split HEVs tend to use two PGs and some of them have multiple modes to achieve better fuel economy and driving performance. Looking to the future, hybrid powertrain technologies must be enhanced to design hybrid light trucks. For light trucks, the need for multi-mode and more PGs is stronger, to achieve the required performance. To systematically explore all the possible designs of multi-mode HEVs with three PGs, an efficient searching and optimization methodology is proposed. All possible clutch topology and modes for one existing configuration that uses three PGs were exhaustively searched. The launching performance is first used to screen out designs that fail to satisfy the required launching performance. A near-optimal and computationally efficient energy management strategy was then employed to identify designs that achieve good fuel economy. The proposed design process successfully identify 8 designs that achieve better launching performance and better fuel economy, while using fewer number of clutches than the benchmark and a patented design.

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Abbreviations

A0 :

characteristic matrix of one specific configuration

A*:

characteristic matrix of one specific mode

DP:

dynamic programming

DoF:

degree of freedom

ECVT:

electronic continuous variable transmission

FUDS:

EPA federal urban driving schedule

ffuel :

fuel consumption of each step

HEV:

hybrid electric vehicle

HWFET:

EPA highway fuel economy driving schedule

J:

cost function

M:

transform matrix

Mall :

set of all modes

Mbackward :

set of the engine-on backward driving mode

MECVT :

set of the ECVT mode

Modeshift :

cost penalty for the mode shift

MG:

motor / generator

Nmode :

number of modes

Ndesign :

number of designs

Nclutch :

number of possible clutches

Nconf :

number of configurations

Np :

number of planetary gears

P:

transform matrix

PEARS:

power-weighted efficiency analysis for rapid sizing

PG:

planetary gear

P lossEV :

power loss of the EV mode

P inEV :

total battery output power of the EV mode

Pe_1 :

engine power flowing through the generator to the battery

Pe_2 :

engine power flowing through the generator to the motor

Pe_3 :

engine power directly flowing to the vehicle

Pbatt :

battery power which powers the motor

Pfuel :

Energy rate of the fuel injected

STC:

speed and torque cell

SOCdesired :

desired final state of charge of the battery

SOCf :

actual final state of charge of the battery

T:

torque, N

US06:

EPA high acceleration driving schedule

δe_max :

highest efficiency of the engine

δMG2_max :

highest efficiency of the MG2

δ:

efficiency

δMG1_max :

highest efficiency of the MG1

ω:

rotational speed, rad/s

α:

weighing factor

β:

weighing factor

μ:

a flag that indicates whether the battery assist is on

EV:

electric drive mode

hybrid:

hybrid driving mode

e:

internal combustion engine

MG1:

motor / generator 1

MG2:

motor / generator 2

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Correspondence to L. Wang.

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Zhuang, W., Zhang, X., Zhao, D. et al. Optimal design of three-planetary-gear power-split hybrid powertrains. Int.J Automot. Technol. 17, 299–309 (2016). https://doi.org/10.1007/s12239-016-0030-0

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  • DOI: https://doi.org/10.1007/s12239-016-0030-0

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