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10/6/2023 1
Powertrain Design Group Meeting #1
Final Report of “Automotive Powertrain System”
10/6/2023 2
Outline
• Why Electric vehicle??
• EV concept and technologies (BEV, HEV, FCEV etc.)
• Learn EV Mechanical Composition
• Vehicle modeling and simulation tools
• Parallel Hybrid Vehicle Design
– performance criterion
– road load characteristics
– electric motor and ICE design
• Energy Management System
• Know about batteries and battery modelling
• Electric vehicle simulation
• HEV simulation
10/6/2023 3
Why Electric Vehicles?
• Increasing automobiles
• Declining oil reserves
• Increasing greenhouse emissions
• Global warming, CARB regulations
Solution: improve the existing power system efficiency, alternate fuels, new materials
or alternate power systems like electric vehicles
First solution may not solve the problem in long run. So, look for the other three.
10/6/2023 4
Electric Vehicle concept
• EV is a road vehicle based on modern electric propulsion consisting of
electric machines, power electronic converters, electric energy sources and
storage devices, and electronic controllers;
• EV is a broad concept, including BEV, HEV, FCEV, etc;
• Regenerative breaking is possible in EVs;
• EV is not only just a car but a new system for our society’s clean and efficient
road transportation;
• EV is an intelligent system which can be integrated with modern
transportation networks;
• EV design involves the integration of art and engineering;
• More advancements are to be done to make them affordable;
10/6/2023 5
EV Mechanical compostion
Three major components and interconnections
Electric Propulsion system: generates the necessary power to the wheels.
Includes transmission and energy management system
Energy source: consists of energy sources like fossil fuel, battery or fuel cells.
Generates or accepts energy
Auxiliary power system : supplies power to auxiliaries like a.c., fan, lightning
system etc.
propulsion
system
energy
source
auxiliary
power
wheels
10/6/2023 6
Comparison of BEV, HEV, and FCEV
•High fuel cell cost
•Lack of infrastructure
•Dependence on Fossil
fuel
•complex
•Limitations of battery
•Short range (100-200km)
•Charging facilities
Major issues
•Zero emission Independence
on fossil oil
•High energy efficiency
•Under development (future
trend)
•Low emission
•Higher fuel economy
•Commercially available
•Zero emission
•Independence on fossil oil
•Commercially available
Characteristics
•Hydrogen
•Methanol or gasoline
•ethanol
•Gasoline stations
•Electric grid charging
facilities (optional for
plug-in hybrid)
•Electric grid charging
facilities
Energy source and
infrastructure
•Fuel cells
•Battery
•Ultracapacitor
•ICE generating unit
•Battery
•ultracapacitor
Energy system
•Electric motor drives
•Electric motor drives
•ICE
•Electric motor drives
Propulsion
FCEV
HEV
BEV
Types of EVs
10/6/2023 7
Vehicle modeling/Simulation tools
• Many configurations/energy management/control strategies
• Analytical solution difficult
• Prototyping and testing is expensive & time consuming
Need vehicle modeling because of following reasons
SIMPLEV : fuel economy, emissions and several other variables;
MARVEL : optimize size of ICE & battery…cannot predict fuel economy, max. speed
acceleration…;
V-Elph : in-depth analysis on plant configurations, sizing, energy management, and
optimization of important component parameters;
ADVISOR: forward/backward approach/ menu interface, different configurations, fuel
economy, consumption, emissions, performance;
Others: PSAT, CarSim, OSU-HEVSim, Hybrid Vehicle Evaluation code (HVEC);
Simulations tools
10/6/2023 8
Parallel Hybrid Vehicle Design
• hierarchical design starting at the system level ending at component level;
• define the performance criterion to be met
acceleration from 0 to 100 km/h (rated vehicle speed) in 16 seconds
gradeability of 5 deg at 100 km/h and maximum of 25 deg at 60 km/h
speed of 160 km/h (ICE only) and 140 km/h (motor only)
• single gear ratio and ideal loss-free gears is taken for simplicity;
Road load: A resistive force in the direction opposite to the movement of the vehicle
rg
ad
rr
RL F
F
F
F 


RL
F
Where is the road load
rr
F is the rolling resistance = Cf mg
ad
F is the aerodynamic drag = 0.5CdAv2sgn(v)
rg
F is the road grade =
180
sin

mg
• 0 – 27.78 m/s (0 – 100 km/h) in 16 s;
• vehicle mass (m) 1767 kg;
• rolling resistance coefficient (Cf ) 0.015;
• aerodynamic drag coefficient (Cd) 0.35;
• wheel radius 0.2794 m (11 in);
• zero head-wind conditions;
parameters and constants
10/6/2023 9
• Road load dependence on the vehicle speed
for various road grade angles is shown on the
right
• Tractive force is the actual force needed to
drive the vehicle at a velocity v.
)
/
(
)
( dt
dv
F
v
F
F acc
RL
te 

acc
F is the acceleration force needed to
accelerate the vehicle
Electric Motor design: Motor is designed to meet the acceleration and road load
requirements during initial acceleration
Motor operates in three regions
• constant torque region
• constant power region
• natural mode
Vrm – rated motor speed Vrv – rated veh. speed Vn- max. veh. speed
Characteristics of a motor
10/6/2023 10
Differential equation governing the system is:
m
K
F
F
dt
dv
a
m
RL



Splitting the equation in to two constant torque
and constant power region, we get
f
Vrv
Vrm RL
Vrm
RL
rm
t
F
v
Pm
dv
m
F
v
Pm
dv
m 





0
From the figures, electric motor is to be sized at 95 kW to
meet the 16 sec. acceleration performance and max.
velocity requirement (140 km/h)
F - available force
Km - mass factor
10/6/2023 11
Effect of extending the constant power ratio )
/
( rv
rm v
v on the power requirement
The power requirement decreases
as the constant power ratio increases
Increasing the ratio above 1:4, gives
diminishing results.
10/6/2023 12
ICE design: The ICE is designed to provide the average load power during the drive
cycle.
To meet the maximum velocity requirement of 160 km/h, the ICE is to rated at approx.
45 kW. An additional 10 kW for hotel loads, a 55 kW ICE is to be needed.
ICE torque-speed characteristics
generated using a 2-D lookup table
approach in Simulink
...... Internal Combustion Engine design
10/6/2023 13
...... Gradeability requirements
From the figure in the right hand side, it is
seen that the vehicle requires approx. 62 kW
to climb a grade of 5 degrees at 100 km/h
and approx. 140 kW to climb a grade of
25 degrees at 60 km/h.
The maximum available power in the
vehicle is the sum of available power from
the motor and ICE which is equal to 150
kW. The available power is clearly greater
than the two power requirements of
gradeability.
10/6/2023 14
Energy Management System
• Electrical loads in an EV/HEV like cranking system, communications equipment, hotel
loads like electronic loads, a.c. etc and control systems like drive train control, chassis
control must be managed effectively in order to get better efficiency;
• EMS is basically a control algorithm which determines how the power is produced in a
powertrain and distributed as a function of vehicle parameters;
The main functions of EMS would be
• optimize energy flow for better efficiency;
• predict available energy and driving range;
• propose a suitable battery charging algorithm;
• use regenerative breaking to charge the batteries;
• suggest more efficient driving behavior;
• report any malfunctions and corrects them;
10/6/2023 15
Comparison of various HEV control strategies
Control strategy Description Advantages Disadvantages
Electrically peaking
hybrid concept
•electric motor provides
acc’n and dec’n power
•ICE provides average
load power in drive cycle
•IC at high speeds reduces
emissions and optimizes
fuel economy
• performance comparable
to conventional vehicles
•The power provided by
the batteries is significant,
requiring more batteries
thus more weight
Thermostat or
‘on/off’ strategy
•Propulsion depends on
SOC
•High SOC- motor
•Low SOC-ICE
• Increases fuel economy
of a series hybrid vehicle
•Produces deep cycles in
the battery damaging the
battery
Power-follower
series hybrid control
strategy
•The ICE power varies
directly with the tractive
motor power, but it is
higher by a SOC
dependent factor to allow
for losses in the gen./batt.
•Better fuel economy
•ICE immediately follows
tractive power
requirements, giving
better performance
•No emissions benefit
over ICEVs, and is chosen
only for its fuel economy
characteristics
Fuzzy logic control •ICE operated in limited
fuel use strategy or
efficiency strategy
•Motor operated at low
speeds
•SOC in limits
•Tolerant to imprecise
measurements and
component variability
•High fuel consumption
because ICE is operated in
high torque region
10/6/2023 16
Battery
Terminology
• Capacity is the amount of charge the battery can supply. SI unit is Amphour
• Specific energy is a measure of electrical energy stored for every kilogram of battery mass.
SI unit is Wh/kg
• Energy density is the amount of electrical energy stored per cubic meter of battery volume.
SI unit is Wh/m3
• Specific power is the amount of power obtained per kilogram of battery. SI unit is W/kg.
• Energy efficiency is the ratio of electrical energy supplied to the amount of energy required
to return it to the state before discharge. Energy efficiency of a battery is in the range of
55 – 75 %.
• State of Charge (SOC) is a key parameter, indicates the residual capacity of a battery.
Typically, the SOC is maintained between 20% and 95%.
• Depth of Discharge (DOD) is the percentage of battery capacity to which the battery is
discharged.
10/6/2023 17
Battery modeling
• commonly used model
• consists of an ideal battery with open-circuit voltage
Voc, a constant equivalent circuit Rint and battery
terminal voltage Vt.
Vt=Voc-IRint
• not a dynamic model
• internal resistance is different for charging and
discharging cycles.
• resistance Rc comes in to play when battery is
charging and Rd when discharging
• disadvantage of not being dynamic
10/6/2023 18
...... Battery modeling continued
• adding a capacitor across the voltage source
gives it the dynamic behavior
• RC model
• resistances are modeled as a function of temp-
erature and battery SOC
• Cb is large enough to hold the capacity of the
battery and Cc is small to reflect the dynamic
changes in the battery
• maintains the battery output voltage within
the high and low voltage limits
10/6/2023 19
Battery Electric vehicle simulation
• Block level BEV and energy flows are shown
• ECE-47 cycle is used for simulation
• The algorithm is to find the battery power by
calculating the power at the input and output
of each block using the efficiencies.
• The battery power is then used to find the
battery current and then DOD.
• check whether the battery is discharged
otherwise do one more cycle.
10/6/2023 20
...... BEV simulation continued
10/6/2023 21
Hybrid Electric Vehicle simulation
• HONDA Insight is simulated in ADVISOR
• The following performance criterion is set
0 – 60 mph in 12 seconds
40– 60 mph in 6 seconds
0 – 85 mph in 24 seconds
maximum speed limit was set at 120 mph.
6 % grade at 55 mph constraint was set for the gradeability test.
• A 50 kW ICE , 10 kW electric motor , a 20kW NiMH energy storage system, a 5
gear manual transmission is selected and the ‘insight’ power control strategy is
selected. The combined mass the vehicle was set to be 962 kg and the drive cycle
‘CYC_UDDS’ is chosen.
• Simulation results are shown below:
0 – 60 mph in 11.5 seconds
40 – 60 mph in 5.3 seconds
0 – 85 mph in 23.5 seconds
Maximum speed is 120 mph
6% gradeability at 55 mph is achieved.
10/6/2023 22
...... HEV simulation continued
10/6/2023 23
...... HEV simulation continued
10/6/2023 24
References
[1] Chan C. C. and Chau K. T., “Modern Electric Vehicle Technology,” Oxford Uni. Press, 2001.
[2] Riezenman M. J., “Electric Vehicles,” IEEE Spectrum, Nov. 1992
[3] Chan C.C., “The state of the Art of Electric and Hybrid vehicles,” Proc. of the IEEE, vol. 90, no. 2, Feb. 2002.
[4] I. Husain, “Electric and hybrid vehicles: Design Fundamentals,” CRC Press, New York, 2003.
[5] K. M. Stevens, “ A versatile computer model for the design of the design and analysis of electric and hybrid drive trains,” Master’s thesis, Texas
A&M Univ., 1996.
[6] K. B. Wipke, M. R. Cuddy, and S. D. Burch, “ADVISOR 2.1: A User-Friendly Advanced Powertrain Simulation Using a Combined
Backward/Forward Approach,” NREL/JA-540-26839, Sep. 1999.
[7] N. Schouten, M. Salman, and N. Kheir, “Fuzzy logic control for parallel hybrid vehicles,” IEEE Trans. Contr. Syst. Technol., vol. 10, pp. 460-468,
May 2002.
[8] ADVISOR 2002 Documentation
[9] J. Larminie and J. Lowry, “Electric vehicle technology explained,” John Wiley & Sons, Ltd., England, 2003.
[10] K. L. Butler, M. Ehsani, and P. Kamath, “A Matlab-Based Modeling and Simulation Package for Electric and Hybrid Electric Vehicle Design,”
IEEE Trans. on Veh. Tech., vol. 48, no. 6, pp. 1770-1778, Nov. 1999.

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EV.ppt

  • 1. 10/6/2023 1 Powertrain Design Group Meeting #1 Final Report of “Automotive Powertrain System”
  • 2. 10/6/2023 2 Outline • Why Electric vehicle?? • EV concept and technologies (BEV, HEV, FCEV etc.) • Learn EV Mechanical Composition • Vehicle modeling and simulation tools • Parallel Hybrid Vehicle Design – performance criterion – road load characteristics – electric motor and ICE design • Energy Management System • Know about batteries and battery modelling • Electric vehicle simulation • HEV simulation
  • 3. 10/6/2023 3 Why Electric Vehicles? • Increasing automobiles • Declining oil reserves • Increasing greenhouse emissions • Global warming, CARB regulations Solution: improve the existing power system efficiency, alternate fuels, new materials or alternate power systems like electric vehicles First solution may not solve the problem in long run. So, look for the other three.
  • 4. 10/6/2023 4 Electric Vehicle concept • EV is a road vehicle based on modern electric propulsion consisting of electric machines, power electronic converters, electric energy sources and storage devices, and electronic controllers; • EV is a broad concept, including BEV, HEV, FCEV, etc; • Regenerative breaking is possible in EVs; • EV is not only just a car but a new system for our society’s clean and efficient road transportation; • EV is an intelligent system which can be integrated with modern transportation networks; • EV design involves the integration of art and engineering; • More advancements are to be done to make them affordable;
  • 5. 10/6/2023 5 EV Mechanical compostion Three major components and interconnections Electric Propulsion system: generates the necessary power to the wheels. Includes transmission and energy management system Energy source: consists of energy sources like fossil fuel, battery or fuel cells. Generates or accepts energy Auxiliary power system : supplies power to auxiliaries like a.c., fan, lightning system etc. propulsion system energy source auxiliary power wheels
  • 6. 10/6/2023 6 Comparison of BEV, HEV, and FCEV •High fuel cell cost •Lack of infrastructure •Dependence on Fossil fuel •complex •Limitations of battery •Short range (100-200km) •Charging facilities Major issues •Zero emission Independence on fossil oil •High energy efficiency •Under development (future trend) •Low emission •Higher fuel economy •Commercially available •Zero emission •Independence on fossil oil •Commercially available Characteristics •Hydrogen •Methanol or gasoline •ethanol •Gasoline stations •Electric grid charging facilities (optional for plug-in hybrid) •Electric grid charging facilities Energy source and infrastructure •Fuel cells •Battery •Ultracapacitor •ICE generating unit •Battery •ultracapacitor Energy system •Electric motor drives •Electric motor drives •ICE •Electric motor drives Propulsion FCEV HEV BEV Types of EVs
  • 7. 10/6/2023 7 Vehicle modeling/Simulation tools • Many configurations/energy management/control strategies • Analytical solution difficult • Prototyping and testing is expensive & time consuming Need vehicle modeling because of following reasons SIMPLEV : fuel economy, emissions and several other variables; MARVEL : optimize size of ICE & battery…cannot predict fuel economy, max. speed acceleration…; V-Elph : in-depth analysis on plant configurations, sizing, energy management, and optimization of important component parameters; ADVISOR: forward/backward approach/ menu interface, different configurations, fuel economy, consumption, emissions, performance; Others: PSAT, CarSim, OSU-HEVSim, Hybrid Vehicle Evaluation code (HVEC); Simulations tools
  • 8. 10/6/2023 8 Parallel Hybrid Vehicle Design • hierarchical design starting at the system level ending at component level; • define the performance criterion to be met acceleration from 0 to 100 km/h (rated vehicle speed) in 16 seconds gradeability of 5 deg at 100 km/h and maximum of 25 deg at 60 km/h speed of 160 km/h (ICE only) and 140 km/h (motor only) • single gear ratio and ideal loss-free gears is taken for simplicity; Road load: A resistive force in the direction opposite to the movement of the vehicle rg ad rr RL F F F F    RL F Where is the road load rr F is the rolling resistance = Cf mg ad F is the aerodynamic drag = 0.5CdAv2sgn(v) rg F is the road grade = 180 sin  mg • 0 – 27.78 m/s (0 – 100 km/h) in 16 s; • vehicle mass (m) 1767 kg; • rolling resistance coefficient (Cf ) 0.015; • aerodynamic drag coefficient (Cd) 0.35; • wheel radius 0.2794 m (11 in); • zero head-wind conditions; parameters and constants
  • 9. 10/6/2023 9 • Road load dependence on the vehicle speed for various road grade angles is shown on the right • Tractive force is the actual force needed to drive the vehicle at a velocity v. ) / ( ) ( dt dv F v F F acc RL te   acc F is the acceleration force needed to accelerate the vehicle Electric Motor design: Motor is designed to meet the acceleration and road load requirements during initial acceleration Motor operates in three regions • constant torque region • constant power region • natural mode Vrm – rated motor speed Vrv – rated veh. speed Vn- max. veh. speed Characteristics of a motor
  • 10. 10/6/2023 10 Differential equation governing the system is: m K F F dt dv a m RL    Splitting the equation in to two constant torque and constant power region, we get f Vrv Vrm RL Vrm RL rm t F v Pm dv m F v Pm dv m       0 From the figures, electric motor is to be sized at 95 kW to meet the 16 sec. acceleration performance and max. velocity requirement (140 km/h) F - available force Km - mass factor
  • 11. 10/6/2023 11 Effect of extending the constant power ratio ) / ( rv rm v v on the power requirement The power requirement decreases as the constant power ratio increases Increasing the ratio above 1:4, gives diminishing results.
  • 12. 10/6/2023 12 ICE design: The ICE is designed to provide the average load power during the drive cycle. To meet the maximum velocity requirement of 160 km/h, the ICE is to rated at approx. 45 kW. An additional 10 kW for hotel loads, a 55 kW ICE is to be needed. ICE torque-speed characteristics generated using a 2-D lookup table approach in Simulink ...... Internal Combustion Engine design
  • 13. 10/6/2023 13 ...... Gradeability requirements From the figure in the right hand side, it is seen that the vehicle requires approx. 62 kW to climb a grade of 5 degrees at 100 km/h and approx. 140 kW to climb a grade of 25 degrees at 60 km/h. The maximum available power in the vehicle is the sum of available power from the motor and ICE which is equal to 150 kW. The available power is clearly greater than the two power requirements of gradeability.
  • 14. 10/6/2023 14 Energy Management System • Electrical loads in an EV/HEV like cranking system, communications equipment, hotel loads like electronic loads, a.c. etc and control systems like drive train control, chassis control must be managed effectively in order to get better efficiency; • EMS is basically a control algorithm which determines how the power is produced in a powertrain and distributed as a function of vehicle parameters; The main functions of EMS would be • optimize energy flow for better efficiency; • predict available energy and driving range; • propose a suitable battery charging algorithm; • use regenerative breaking to charge the batteries; • suggest more efficient driving behavior; • report any malfunctions and corrects them;
  • 15. 10/6/2023 15 Comparison of various HEV control strategies Control strategy Description Advantages Disadvantages Electrically peaking hybrid concept •electric motor provides acc’n and dec’n power •ICE provides average load power in drive cycle •IC at high speeds reduces emissions and optimizes fuel economy • performance comparable to conventional vehicles •The power provided by the batteries is significant, requiring more batteries thus more weight Thermostat or ‘on/off’ strategy •Propulsion depends on SOC •High SOC- motor •Low SOC-ICE • Increases fuel economy of a series hybrid vehicle •Produces deep cycles in the battery damaging the battery Power-follower series hybrid control strategy •The ICE power varies directly with the tractive motor power, but it is higher by a SOC dependent factor to allow for losses in the gen./batt. •Better fuel economy •ICE immediately follows tractive power requirements, giving better performance •No emissions benefit over ICEVs, and is chosen only for its fuel economy characteristics Fuzzy logic control •ICE operated in limited fuel use strategy or efficiency strategy •Motor operated at low speeds •SOC in limits •Tolerant to imprecise measurements and component variability •High fuel consumption because ICE is operated in high torque region
  • 16. 10/6/2023 16 Battery Terminology • Capacity is the amount of charge the battery can supply. SI unit is Amphour • Specific energy is a measure of electrical energy stored for every kilogram of battery mass. SI unit is Wh/kg • Energy density is the amount of electrical energy stored per cubic meter of battery volume. SI unit is Wh/m3 • Specific power is the amount of power obtained per kilogram of battery. SI unit is W/kg. • Energy efficiency is the ratio of electrical energy supplied to the amount of energy required to return it to the state before discharge. Energy efficiency of a battery is in the range of 55 – 75 %. • State of Charge (SOC) is a key parameter, indicates the residual capacity of a battery. Typically, the SOC is maintained between 20% and 95%. • Depth of Discharge (DOD) is the percentage of battery capacity to which the battery is discharged.
  • 17. 10/6/2023 17 Battery modeling • commonly used model • consists of an ideal battery with open-circuit voltage Voc, a constant equivalent circuit Rint and battery terminal voltage Vt. Vt=Voc-IRint • not a dynamic model • internal resistance is different for charging and discharging cycles. • resistance Rc comes in to play when battery is charging and Rd when discharging • disadvantage of not being dynamic
  • 18. 10/6/2023 18 ...... Battery modeling continued • adding a capacitor across the voltage source gives it the dynamic behavior • RC model • resistances are modeled as a function of temp- erature and battery SOC • Cb is large enough to hold the capacity of the battery and Cc is small to reflect the dynamic changes in the battery • maintains the battery output voltage within the high and low voltage limits
  • 19. 10/6/2023 19 Battery Electric vehicle simulation • Block level BEV and energy flows are shown • ECE-47 cycle is used for simulation • The algorithm is to find the battery power by calculating the power at the input and output of each block using the efficiencies. • The battery power is then used to find the battery current and then DOD. • check whether the battery is discharged otherwise do one more cycle.
  • 20. 10/6/2023 20 ...... BEV simulation continued
  • 21. 10/6/2023 21 Hybrid Electric Vehicle simulation • HONDA Insight is simulated in ADVISOR • The following performance criterion is set 0 – 60 mph in 12 seconds 40– 60 mph in 6 seconds 0 – 85 mph in 24 seconds maximum speed limit was set at 120 mph. 6 % grade at 55 mph constraint was set for the gradeability test. • A 50 kW ICE , 10 kW electric motor , a 20kW NiMH energy storage system, a 5 gear manual transmission is selected and the ‘insight’ power control strategy is selected. The combined mass the vehicle was set to be 962 kg and the drive cycle ‘CYC_UDDS’ is chosen. • Simulation results are shown below: 0 – 60 mph in 11.5 seconds 40 – 60 mph in 5.3 seconds 0 – 85 mph in 23.5 seconds Maximum speed is 120 mph 6% gradeability at 55 mph is achieved.
  • 22. 10/6/2023 22 ...... HEV simulation continued
  • 23. 10/6/2023 23 ...... HEV simulation continued
  • 24. 10/6/2023 24 References [1] Chan C. C. and Chau K. T., “Modern Electric Vehicle Technology,” Oxford Uni. Press, 2001. [2] Riezenman M. J., “Electric Vehicles,” IEEE Spectrum, Nov. 1992 [3] Chan C.C., “The state of the Art of Electric and Hybrid vehicles,” Proc. of the IEEE, vol. 90, no. 2, Feb. 2002. [4] I. Husain, “Electric and hybrid vehicles: Design Fundamentals,” CRC Press, New York, 2003. [5] K. M. Stevens, “ A versatile computer model for the design of the design and analysis of electric and hybrid drive trains,” Master’s thesis, Texas A&M Univ., 1996. [6] K. B. Wipke, M. R. Cuddy, and S. D. Burch, “ADVISOR 2.1: A User-Friendly Advanced Powertrain Simulation Using a Combined Backward/Forward Approach,” NREL/JA-540-26839, Sep. 1999. [7] N. Schouten, M. Salman, and N. Kheir, “Fuzzy logic control for parallel hybrid vehicles,” IEEE Trans. Contr. Syst. Technol., vol. 10, pp. 460-468, May 2002. [8] ADVISOR 2002 Documentation [9] J. Larminie and J. Lowry, “Electric vehicle technology explained,” John Wiley & Sons, Ltd., England, 2003. [10] K. L. Butler, M. Ehsani, and P. Kamath, “A Matlab-Based Modeling and Simulation Package for Electric and Hybrid Electric Vehicle Design,” IEEE Trans. on Veh. Tech., vol. 48, no. 6, pp. 1770-1778, Nov. 1999.