14
7/8/2016 1 EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric Vehicle using Hybrid Energy Storage Systems » Bao-Huy NGUYEN 1,2 , Dr. Ronan GERMAN 2 , Prof. João P. TROVÃO 1 , Prof. Alain BOUSCAYROL 2 1 e-TESC, Université de Sherbrooke, Canada 2 L2EP, Université Lille1, MEGEVH network, France EMR’16, UdeS Longueuil, June 2016 2 « EMR and control of an EV using H - ESS » Induction machine Gearbox Voltage source inverter Wheel Chassis em T tran F res F veh v br T 1 2 3 13 u 23 u 1 i 2 i res T r DC bus trac i C i chbat i chSC i L bat i L SC i Li-ion Batteries Supercapacitors bat u sc u chSC u chbat u DC u Chopper bat Chopper SC tot i L bat r L SC r bat r SC r bat L SC L bat ocv u SC ocv u 40 V Q 160 Ah bat nom bat u 45 V 290 F SC nom SC u C 80 V bat i SC i Parallel connection P 15 kW nom - Context and objective - Studied system: Hybrid energy storage systems (H-ESS) for electric vehicles (EVs) In an energy management system: Limitations (constraints) play an important role In the case of SC-based H-ESS: Limitations of the SC voltage e.g. [Castaings 2016] Ultimate objective: Energy management of the H-ESS Objective of this study: More focus on SC branches’ characteristics and voltage limitations

« LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

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Page 1: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

1

EMR’16

UdeS - Longueuil

June 2016

Summer School EMR’16

“Energetic Macroscopic Representation”

« EMR and control of an Electric Vehicle

using Hybrid Energy Storage Systems »

Bao-Huy NGUYEN1,2, Dr. Ronan GERMAN2,

Prof. João P. TROVÃO1, Prof. Alain BOUSCAYROL2

1 e-TESC, Université de Sherbrooke, Canada2 L2EP, Université Lille1, MEGEVH network, France

EMR’16, UdeS Longueuil, June 20162

« EMR and control of an EV using H-ESS »

Induction

machine

Gearbox

Voltage source

inverter

Wheel

Chassis

emT

tranF resF

vehv

brT

1

2

313u23u

1i

2iresT

r

DC bus

traci

Ci

chbati

chSCi

L bati

L SCi

Li-ion

Batteries

Supercapacitors

batu

scuchSCu

chbatu

DCu

Chopper

bat

Chopper

SC

toti

L batr

L SCr

batr

SCr

batL

SCL

bat ocvu

SC ocvu

40 V Q 160 Ahbat nom batu

45 V 290 FSC nom SCu C

80 V

bati

SCi

Parallel

connection

P 15 kWnom

- Context and objective -

Studied system: Hybrid energy storage systems (H-ESS) for electric vehicles (EVs)

In an energy

management system:

Limitations (constraints)

play an important role

In the case of

SC-based H-ESS:

Limitations of

the SC voltage

e.g. [Castaings 2016]

Ultimate objective:

Energy

management of

the H-ESS

Objective of

this study:

More focus on

SC branches’

characteristics

and voltage

limitations

Page 2: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

2

EMR’16, UdeS Longueuil, June 20163

« EMR and control of an EV using H-ESS »

Induction

machine

Gearbox

Voltage source

inverter

Wheel

Chassis

emT

tranF resF

vehv

brT

1

2

313u23u

1i

2iresT

r

DC bus

traci

Ci

chbati

chSCi

L bati

L SCi

Li-ion

Batteries

Supercapacitors

batu

scuchSCu

chbatu

DCu

Chopper

bat

Chopper

SC

toti

L batr

L SCr

batr

SCr

batL

SCL

bat ocvu

SC ocvu

40 V Q 160 Ahbat nom batu

45 V 290 FSC nom SCu C

80 V

bati

SCi

Parallel

connection

P 15 kWnom

- Context and objective -

Studied system: Hybrid energy storage systems (H-ESS) for electric vehicles (EVs)

Objective of

this study:

More focus on

SC branches’

characteristics

and voltage

limitations

All previous works:

Constant voltage limitation

e.g. [Lhomme 2005],

[Trovao 2015]

This work:

Propose a dynamic

voltage limitation method

Ultimate objective:

Energy

management of

the H-ESS

EMR’16, UdeS Longueuil, June 20164

« EMR and control of an EV using H-ESS »

- Content -

1. Modeling and control of the H-ESS using EMR

• Modeling and EMR

• Inversion-based control (IBC)

• Energy management with filtering strategy

2. SC voltage limitation methods

• SC voltage limitation due to unideal DC/DC converter

• Constant limitation

• Proposed dynamic limitation

3. Results and discussions

(Adapted from

[Allègre 2013])

Page 3: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

3

EMR’16

UdeS - Longueuil

June 2016

Summer School EMR’16

“Energetic Macroscopic Representation”

« Modeling and control

of the H-ESS using EMR »

EMR’16, UdeS Longueuil, June 20166

« EMR and control of an EV using H-ESS »

Bat.

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chbatu

L bati

DCu

chbati

DCu

toti DCu

traci

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

Parallel

connection

- Modeling and EMR -

Induction

machine

Gearbox

Voltage source

inverter

Wheel

Chassis

emT

tranF resF

vehv

brT

1

2

313u23u

1i

2iresT

r

DC bus

traci

Ci

chbati

chSCi

L bati

L SCi

Li-ion

Batteries

Supercapacitors

batu

scuchSCu

chbatu

DCu

Chopper

bat

Chopper

SC

toti

L batr

L SCr

batr

SCr

batL

SCL

bat ocvu

SC ocvu

40 V Q 160 Ahbat nom batu

45 V 290 FSC nom SCu C

80 V

bati

SCi

Parallel

connection

P 15 kWnom

EMR: Model organization

Page 4: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

4

EMR’16, UdeS Longueuil, June 20167

« EMR and control of an EV using H-ESS »

- Inversion-based control (IBC) -

EMR: Model organization

IBC: Step-by-step inversionsBat.

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chbatu

L bati

DCu

chbati

DCu

toti DCu

traci

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

Parallel

connection

chbatm

chbatu

L bati chbati

chSCm

chSCu

L SCi chSCi

toti DCu

Define tuning paths

• Tuning paths are defined going from the

control variables (𝑢𝑐ℎ𝑏𝑎𝑡 & 𝑢𝑐ℎ𝑆𝐶) to the

objective variable (𝑢𝐷𝐶)

• The IBC structure is deduced by inversions

of EMR elements along the tuning paths

• Notice: in this case, each chopper is

inverted twice.

EMR’16, UdeS Longueuil, June 20168

« EMR and control of an EV using H-ESS »

- Inversion-based control (IBC) -

Bat.

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chbatu

L bati

DCu

chbati

tot refi

DCu

toti DCu

traci

DC refu chbat refi

chSC refi

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

ek

Parallel

connectionEMR: Model organization

IBC: Step-by-step inversions

• Closed-loop control of DC

bus voltage

• Current distribution by 𝑘𝑒

𝑖𝑐ℎ𝑏𝑎𝑡−𝑟𝑒𝑓 = 𝑘𝑒𝑖𝑡𝑜𝑡−𝑟𝑒𝑓

𝑖𝑐ℎ𝑏𝑎𝑡−𝑟𝑒𝑓 = 1 − 𝑘𝑒 𝑖𝑡𝑜𝑡−𝑟𝑒𝑓

𝑖𝑡𝑜𝑡−𝑟𝑒𝑓 = 𝐶𝑢𝐷𝐶𝑡 𝑢𝐷𝐶−𝑟𝑒𝑓 − 𝑢𝐷𝐶−𝑚𝑒𝑎𝑠 + 𝑖𝑡𝑟𝑎𝑐−𝑚𝑒𝑎𝑠

𝑖𝐶−𝑟𝑒𝑓=𝑖𝑡𝑜𝑡−𝑟𝑒𝑓−𝑖𝑡𝑟𝑎𝑐−𝑚𝑒𝑎𝑠

(1)(2)

(1)

(2)

Page 5: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

5

EMR’16, UdeS Longueuil, June 20169

« EMR and control of an EV using H-ESS »

- Inversion-based control (IBC) -

Bat.

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chbatu

L bati

DCu

chbati

tot refi

DCu

toti DCu

traci

DC refu chbat refi

chSC refi

L bat refi

L SC refi

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

ek

Parallel

connectionEMR: Model organization

IBC: Step-by-step inversions

• Closed-loop control of DC

bus voltage

• Current distribution by 𝑘𝑒

• Choppers inversion

𝑖𝐿−𝑏𝑎𝑡−𝑟𝑒𝑓 =𝑖𝑐ℎ𝑏𝑎𝑡−𝑟𝑒𝑓

𝑚𝑐ℎ𝑏𝑎𝑡

𝑖𝐿−𝑆𝐶−𝑟𝑒𝑓 =𝑖𝑐ℎ𝑆𝐶−𝑟𝑒𝑓

𝑚𝑐ℎ𝑆𝐶

(1)

(2)

(1)

(2)

EMR’16, UdeS Longueuil, June 201610

« EMR and control of an EV using H-ESS »

- Inversion-based control (IBC) -

Bat.

chbat refu

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chSC refu

chbatu

L bati

DCu

chbati

tot refi

DCu

toti DCu

traci

DC refu chbat refi

chSC refi

L bat refi

L SC refi

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

ek

Parallel

connectionEMR: Model organization

IBC: Step-by-step inversions

• Closed-loop control of DC

bus voltage

• Current distribution by 𝑘𝑒

• Choppers inversion

• Closed-loop control of

inductors’ currents

𝑢𝑐ℎ𝑏𝑎𝑡−𝑟𝑒𝑓 = 𝐶𝑖𝐿−𝑏𝑎𝑡𝑡 𝑖𝐿−𝑏𝑎𝑡−𝑟𝑒𝑓 − 𝑖𝐿−𝑏𝑎𝑡−𝑚𝑒𝑎𝑠 + 𝑢𝑏𝑎𝑡−𝑚𝑒𝑎𝑠

𝑢𝐿−𝑏𝑎𝑡−𝑟𝑒𝑓=𝑢𝑐ℎ𝑏𝑎𝑡−𝑟𝑒𝑓−𝑢𝑏𝑎𝑡−𝑚𝑒𝑎𝑠

Similar for SC current controller 𝐶𝑖𝐿−𝑆𝐶(𝑡)

(1)

(2)

(1)

(2)

Page 6: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

6

EMR’16, UdeS Longueuil, June 201611

« EMR and control of an EV using H-ESS »

- Inversion-based control (IBC) -

Bat.

chbat refu

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chSC refu

chbatu

L bati

DCu

chbati

tot refi

DCu

toti DCu

traci

DC refu chbat refi

chSC refi

L bat refi

L SC refi

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

ek

Parallel

connectionEMR: Model organization

IBC: Step-by-step inversions

• Closed-loop control of DC

bus voltage

• Current distribution by 𝑘𝑒

• Choppers inversion

• Closed-loop control of

inductors’ currents

• Choppers inversion

(modulation)

𝑚𝑐ℎ𝑆𝐶 =𝑢𝑐ℎ𝑆𝐶−𝑟𝑒𝑓

𝑢𝐷𝐶

𝑚𝑐ℎ𝑏𝑎𝑡 =𝑢𝑐ℎ𝑏𝑎𝑡−𝑟𝑒𝑓

𝑢𝐷𝐶

(1)

(2)

(1)

(2)

EMR’16, UdeS Longueuil, June 201612

« EMR and control of an EV using H-ESS »

- Energy management with filtering strategy -

Bat.

chbat refu

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chSC refu

chbatu

L bati

DCu

chbati

tot refi

DCu

toti DCu

traci

DC refu chbat refi

chSC refi

L bat refi

L SC refi

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

Strategyek

tot refi

Parallel

connection

Current distribution strategy

• Conventional filtering strategy

tot refi _bat refi

_sc refi

LPF

EMR: Model organization

IBC: Step-by-step inversions

• Closed-loop control of DC

bus voltage

• Current distribution by 𝑘𝑒

• Choppers inversion

• Closed-loop control of

inductors’ currents

• Choppers inversion

(modulation)

Page 7: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

7

EMR’16

UdeS - Longueuil

June 2016

Summer School EMR’16

“Energetic Macroscopic Representation”

« SC voltage limitation methods »

EMR’16, UdeS Longueuil, June 201614

« EMR and control of an EV using H-ESS »

- SC voltage limitation due to unideal DC/DC converter -

1 min1 0 1

out

in

u

u

1

max

out

in

u

u

• Phenomenon: Unstable when SC voltage becomes too low

• Literature: Unideal characteristic of DC/DC boost converter

(since [Cuk 1977])

Stable Unstable

inu

ipr LR

C

outuT

T

In the case of SC-based H-ESS for EV ?Ideal𝑟𝑝 = 0

Unideal𝑟𝑝 ≠ 0

𝑢𝑜𝑢𝑡

𝑢𝑖𝑛 𝑚𝑎𝑥

=1

2𝑟𝑝𝑅

𝑟𝑝: Parasitic resistance

𝑅: Load resistance

𝑢𝑜𝑢𝑡 fixed 𝑢𝐷𝐶

𝑢𝑖𝑛 varies in a wide range 𝑢𝑆𝐶

𝑅 = 𝑅𝑡𝑟𝑎𝑐 depends on the vehicle operation(equivalent traction resistance)

𝑢𝑆𝐶 𝑚𝑖𝑛 = 2𝑢𝐷𝐶

𝑟𝑝

𝑅

Page 8: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

8

EMR’16, UdeS Longueuil, June 201615

« EMR and control of an EV using H-ESS »

- SC voltage limitation due to unideal DC/DC converter -

traci

Ci

chSCi

L SCi

Supercapacitors

scuchSCu

DCuL SCr

SCr

SCL

SC ocvu SCi

Traction

Our studied system

𝑅𝑡𝑟𝑎𝑐 =𝑢𝐷𝐶

𝑖𝑡𝑟𝑎𝑐

𝑢𝑠𝑐−𝑙𝑖𝑚 = 2. 𝑢𝐷𝐶

𝑟𝐿−𝑆𝐶 + 𝑟𝑆𝐶𝑅𝑡𝑟𝑎𝑐

𝑟𝑝 = 𝑟𝐿−𝑆𝐶 + 𝑟𝑆𝐶

Traction part serves as a

current source

Key point:

calculate the traction

(DC bus) current

2 methods

1. Constant limitation with max current calculated

by the max torque of the vehicle (the safest)

Tazzari Zero: 150 Nm 𝑢𝑠𝑐−𝑙𝑖𝑚 = 40 VDC

2. Dynamic limitation calculated by

real-time current measurement

EMR’16, UdeS Longueuil, June 201616

« EMR and control of an EV using H-ESS »

2. Dynamic limitation calculated by

real-time current measurement

- SC voltage limitation methods: constant and dynamic -

Bat.

chbat refu

SC

Inductors Choppers

batu

L bati

chbatm

chSCm

chSC refu

chbatu

L bati

DCu

chbati

tot refi

DCu

toti DCu

traci

DC refu chbat refi

chSC refi

L bat refi

L SC refi

DC bus

capacitor

Tract.

chSCi

DCu

SCu

L SCi

L SCi

chSCu

Strategyek

tot refi

trac estR

Estimation of

the equivalent

traction

resistance

SC measu

Parallel

connection

𝑢𝑠𝑐−𝑙𝑖𝑚 = 2 𝑟𝑝𝑢𝐷𝐶𝑖𝑡𝑟𝑎𝑐

Working

condition

System

parameters

Notice: we don’t need any

more sensor because 𝑢𝐷𝐶 &

𝑖𝑡𝑟𝑎𝑐 are already measured for

control.

Page 9: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

9

EMR’16

UdeS - Longueuil

June 2016

Summer School EMR’16

“Energetic Macroscopic Representation”

« Results and Discussions »

EMR’16, UdeS Longueuil, June 201618

« EMR and control of an EV using H-ESS »

- Simulation setup -

• Implementation in Matlab/Simulink using the EMR library

• Two urban cycles of the New European Driving Cycle (NEDC)

-C-

U_dc_ref

ES

Traction

Subsystem

SuperCaps

current

controller

ES

SuperCaps

R_trac_est

Inductor

SuperCaps

Inductor

Battery

Strategy

HESS management

HESS

Distribution

HESS

Coupling

m_ch2

i_L2_meas

i_L1_meas

i_dc_meas

U_dc_meas

k_HESS

R_trac_est

U_bat_meas

m_ch1

U_sc_meas

i_tot_ref

U_dc_meas

i_dc_meas

i_dc_meas

U_dc_meas

U_dc_meas

i_L2_meas

R_trac_est

U_bat_meas

k_HESS

U_dc_meas

m_ch1

m_ch2

i_L2_meas

i_L1_meas

U_dc_meas

U_sc_meas

i_tot_ref

DC bus

controller

DC bus

Capacitor

Chopper

SuperCaps

Chopper

Battery

ChopSC

volt inv

ChopSC

curr inv

ChopBat

volt inv

ChopBat

curr inv

Battery

current

controller

ES

Battery U_dc

U_dc

U_dc

U_ch1U_ch1

i_L1

U_bat

U_ch2U_ch2

i_L2

U_sc

U_ch1_refU_ch1_ref

U_ch2_refU_ch2_ref

i_ch1_ref

i_ch2_ref

i_ch2_ref

i_L2

i_L1

U_dc

U_dc

i_ch2

i_ch1 i_tot

i_L2_ref

i_L1_ref

Parameter Value

L inductors 0.2 mH

r inductors 10 mΩ

r SC 3.8 mΩ

SC nom. voltage 45 VDC

SC capacitance 290 F

DC bus voltage 80 VDC

Bat. nom. voltage 40 VDC

Rated power 15 kW

Referred vehicle model

Tazzari Zero

Page 10: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

10

EMR’16, UdeS Longueuil, June 201619

« EMR and control of an EV using H-ESS »

- Results -

Traction part evolutions used as the reference

This fluctuated

current will be

shared between

battery and SC

EMR’16, UdeS Longueuil, June 201620

« EMR and control of an EV using H-ESS »

- Results -

This limitation is

the safest

Responses with constant limitation

but not effective

Page 11: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

11

EMR’16, UdeS Longueuil, June 201621

« EMR and control of an EV using H-ESS »

- Results -

Responses with proposed dynamic limitation

SC can be used

more effectively

EMR’16, UdeS Longueuil, June 201622

« EMR and control of an EV using H-ESS »

- Results -

A little more quantitative comparisons

The less time in limitation

The lower battery current

The more extended

battery lifetime

Page 12: « LAYOUT OF PRESENTATION OF EMR’13 - EMR...EMR’16 UdeS - Longueuil June 2016 Summer School EMR’16 “Energetic Macroscopic Representation” « EMR and control of an Electric

7/8/2016

12

EMR’16

UdeS - Longueuil

June 2016

Summer School EMR’16

“Energetic Macroscopic Representation”

« Conclusion and Perspective »

EMR’16, UdeS Longueuil, June 201624

« EMR and control of an EV using H-ESS »

- Conclusion and Perspective -

This work has been done:

• Modeling and control of the H-ESS-based EV using EMR

• Study on the effects of the unideal of DC/DC converter on the SC-based H-ESS

• Proposed dynamic limitation method for SC voltage improved management performance

Near future works:

• Verifying the effectiveness of the proposed method with different strategies and driving cycles

• Experimental validation

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- Authors -

Dr. Ronan GERMAN

Université Lille 1, L2EP, MEGEVH, France

PhD in Electrical Engineering at University of Lyon, France (2013)

Research topics: Energy Storage Systems, EMR, HIL simulation, EVs and HEVs

Bao-Huy NGUYEN

PhD student since 2015

Université Lille 1, L2EP, MEGEVH, France

Université de Sherbrooke, Sherbrooke, QC, Canada

MSc in Electrical Engineering at Hanoi Univ. Sci. Tech., Vietnam (2015)

Research topics: EVs and HEVs, control in power electronics and electrical drives

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« EMR and control of an EV using H-ESS »

- Authors -

Prof. Alain BOUSCAYROL

Université Lille 1, L2EP, MEGEVH, France

Coordinator of MEGEVH, French network on HEVs

PhD in Electrical Engineering at University of Toulouse (1995)

Research topics: EMR, HIL simulation, tractions systems, EVs and HEVs

Prof. Joao TROVAO

Université de Sherbrooke, Sherbrooke, QC, Canada

PhD in Electrical Engineering at University of Coimbra, Portugal (2013)

Research topics: EVs, renewable energy, energy management, power quality,

and rotating electrical machines

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- References -

[Allègre 2013] A.-L. Allègre, R. Trigui, and A. Bouscayrol, “Flexible real-time control of a hybrid

energy storage system for electric vehicles,” IET Electr. Syst. Transp., vol. 3, no. 3, pp.

79–85, 2013.

[Castaings 2016] A. Castaings, W. Lhomme, R. Trigui, and A. Bouscayrol, “Comparison of

energy management strategies of a battery/supercapacitors system for electric vehicle

under real-time constraints,” Appl. Energy, vol. 163, pp. 190–200, 2016.

[Cuk 1977] S. M. Cuk, “Modelling, Analysis, and Design of Switching Converters,” PhD thesis,

California Institute of Technology, 1977.

[Lhomme 2005] W. Lhomme, P. Delarue, P. Barrade, A. Bouscayrol, and A. Rufer, “Design

and control of a supercapacitor storage system for traction applications,” in Conference

Record - IAS Annual Meeting (IEEE Industry Applications Society), 2005, vol. 3, pp.

2013–2020.

[Trovao 2015] J. P. F. Trovao, V. D. N. Santos, C. H. Antunes, P. G. Pereirinha, and H. M.

Jorge, “A Real-Time Energy Management Architecture for Multisource Electric Vehicles,”

IEEE Trans. Ind. Electron., vol. 62, no. 5, pp. 3223–3233, 2015.

EMR’16

UdeS - Longueuil

June 2016

Summer School EMR’16

“Energetic Macroscopic Representation”

« Thank you for your attention »