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20EE603PE-ELECTRIC VEHICLES
UNIT-I
INTRODUCTION TO ELECTRIC VEHICLES
CONTENT
 Impact of different transportation technologies on
environment and energy supply
 Air pollution and global warming
 History of hybrid electric, electric and fuel cell vehicles
 Vehicle motion and Dynamic equations for the vehicle
 Vehicle power plant, transmission characteristics and
Vehicle performance including Braking performance
 Fuel economy characteristics of internal combustion
engine
GLOBAL WARMING
 Global warming is a result of the “greenhouse effect” induced by
the presence of carbon dioxide and other gases, such as methane,
in the atmosphere.
 Natural disasters command our attention more than ecological
disasters because of the amplitude of the damage they cause.
.
Figure CO2 emission distribution from 1980 to 1999
.
Figure Evolution of carbon dioxide emission
History of hybrid electric, electric and fuel
cell vehicles
History of Electric Vehicles
• The first electric vehicle was built by Frenchman Gustave Trouvé in
1881.
• The first commercial electric vehicle was Morris and Salom’s
Electroboat. This vehicle was operated as a taxi in New York City by a
company created by its inventors.
• The most significant technical advance of that era was the invention of
regenerative braking by Frenchman M.A. Darracq on his 1897 coupe.
This method allows recuperating the vehicle’s kinetic energy while
braking and recharging the batteries, which greatly enhances the driving
range.
• the most significant electric vehicles of that era was the first vehicle ever
to reach 100 km/h. It was “La Jamais Contente” built by Frenchman
Camille Jenatzy. Note that Studebaker and Oldsmobile first started in
business by building electric vehicles.
• In 1945, three researchers at Bell Laboratories invented a device
that was meant to revolutionize the world of electronics and
electricity: the transistor. It quickly replaced vacuum tubes for
signal electronics and soon the thyristor was invented, which
allowed switching high currents at high voltages.
• During the 1960s and 1970s, concerns about the environment
triggered some research on electric vehicles. However, despite
advances in battery technology and power electronics, their range
and performance were still obstacles.
• The modern electric vehicle era culminated during the 1980s and
early 1990s with the release of a few realistic vehicles by firms
such as GM with the EV1 and PSA with the 106 Electric.
• The early 1990s that electric automobiles could never compete
with gasoline automobiles for range and performance.
VEHICLE MOTION
Forces acting on a vehicle
• The tractive effort, Ft, in the contact area between tires of the
driven wheels and the road surface propels the vehicle forward.
• While the vehicle is moving, there is resistance that tries to stop
its movement. The resistance usually includes tire rolling
resistance, aerodynamic drag, and uphill resistance.
• To provide time measurements in terms of the current time and data as
opposed to a counter value.
• According to Newton’s second law, vehicle acceleration can be as
where V is vehicle speed,
ΣFt is the total tractive effort of the vehicle,
ΣFtr is the total resistance,
Mv is the total mass of the vehicle, and
δ is the mass factor, which is an effect of rotating
components in the power train
VEHICLE RESISTANCE
• Vehicle resistance opposing its movement includes rolling
resistance of the tires, as rolling resistance torque Trf and Trr,
aerodynamic drag, Fw, and grading resistance Mv g sin α
Rolling Resistance
Tire deflection and rolling resistance on a (a) hard and (b) soft road surface
• The moment produced by the forward shift of the resultant
ground reaction force is called the rolling resistant moment as
Tr = Pa
• To keep the wheel rolling, a force F, acting on the center of the
wheels, is required to balance this rolling resistant moment. This
force is expressed as
where rd is the effective radius of the tire and
fr = a/rd is called the rolling resistance coefficient.
• The rolling resistant moment can be replaced equivalently by a
horizontal force acting on the wheel center in the opposite
direction of the movement of the wheel.
• This equivalent force is called rolling resistance with a magnitude
of
where P is the normal load, acting on the center of the rolling wheel.
• When a vehicle is operated on a slope road, the normal load, P,
should be replaced by the component, which is perpendicular to
the road surface.
where α is the road angle .
• The rolling resistance coefficient, fr, is a function of the tire
material, tire structure, tire temperature, tire inflation pressure,
tread geometry, road roughness, road material, and the presence
or absence of liquids on the road.
• The rolling resistance coefficient of passenger cars on concrete
road may be calculated from the following equation:
Where;
V is vehicle speed in km/h, and
f0 and fs depend on inflation pressure of the tire.
• In vehicle performance calculation, it is sufficient to consider
the rolling resistance coefficient as a linear function of speed.
For the most common range of inflation pressure, the following
equation can be used for a passenger car on concrete road:
• This equation predicts the values of fr with acceptable
accuracy for speeds up to 128 km/h.
Rolling Resistance Coefficients
Conditions Rolling resistance coefficient
Car tires on concrete or
asphalt
0.013
Car tires on rolled gravel 0.02
Tar macadam 0.025
Unpaved road 0.05
Field 0.1–0.35
Truck tires on concrete or
asphalt
0.006–0.01
Wheels on rail 0.001–0.002
Aerodynamic Drag
 A vehicle traveling at a particular speed in air encounters a force resisting
its motion.
 This force is referred to as aerodynamic drag. It mainly results from two
components: shape drag and skin friction.
Shape drag:
 The forward motion of the vehicle pushes the air in front of it.
However, the air cannot instantaneously move out of the way
and its pressure is thus increased, resulting in high air pressure.
 In addition, the air behind the vehicle cannot instantaneously
fill the space left by the forward motion of the vehicle.
 This creates a zone of low air pressure. The motion has
therefore created two zones of pressure that oppose the motion
of a vehicle by pushing it forward and pulling it backward. The
resulting force on the vehicle is the shape drag.
Skin friction:
Air close to the skin of the vehicle moves almost at the
speed of the vehicle while air far from the vehicle remains
still.
In between, air molecules move at a wide range of
speeds. The difference in speed between two air molecules
produces a friction that results in the second component of
aerodynamic drag.
Aerodynamic drag is a function of vehicle speed V,
vehicle frontal area Af, shape of the vehicle, and air
density ρ.
Aerodynamic drag is expressed as
Where;
• CD is the aerodynamic drag coefficient that characterizes the
shape of the vehicle and is the component of wind speed on
the vehicle’s moving direction, which has a positive sign when
this component is opposite to the vehicle speed and a negative
sign when it is in the same direction as vehicle speed.
Grading Resistance
Figure . Automobile climbing a grade

sin
g
M
F v
g 
…
Indicative drag coefficients for different body shapes
• To simplify the calculation, the road angle, α,
is usually replaced by grade value when the
road angle is small.
• To simplify the calculation, the road angle, α,
is usually replaced by grade value when the
road angle is small.
 The tire rolling resistance and grading resistance together are
called road resistance, which is expressed as
 When the road angle is small, the road resistance can be
simplified as
DYNAMIC EQUATION
Figure. Forces acting on a vehicle
• Rolling resistance of front and rear tires Frf and Frr,
• Rolling resistance moment Trf and Trr,
• Aerodynamic drag F ,
• Grading resistance Fg (Mv g sinα), and
• Tractive effort of the front and rear tires, Ftf and Ftr. Ftf is zero for
a rear-wheel-driven vehicle,
• Ftr is zero for a front-wheel-driven vehicle.
• The dynamic equation of vehicle motion along the longitudinal
direction is expressed by
Where;
dV/dt is the linear acceleration of the vehicle along the
longitudinal direction and Mv is the vehicle mass.
The first term on the right-hand side is the total tractive effort
and the second term is the resistance.
By summing the moments of all the forces about point R (center of
the tire–ground area), the normal load on the front axle Wf can be
determined as
the normal load acting on the rear axle can be expressed as
L
dt
dV
Mh
gh
M
h
R
T
T
gL
M
W
g
g
v
rr
rf
b
v
f















 
 sin
cos
 For passenger cars, the height of the centre of application of
aerodynamic resistance,
 hw, is assumed to be near the height of the centre of gravity of the
vehicle, hg. Equations can be simplified as













dt
dV
M
h
r
gf
M
F
F
L
h
g
M
L
L
W v
g
d
r
v
g
g
v
b
f 
  cos
cos













dt
dV
M
h
r
gf
M
F
F
L
h
g
M
L
L
W v
g
d
r
v
g
g
v
a
r 
  cos
cos
where rd is the effective radius of the wheel.
Rewritten as




















g
d
r
t
g
v
b
f
h
r
F
F
L
h
g
M
L
L
W 1
cos
And




















g
d
r
t
g
v
a
r
h
r
F
F
L
h
g
M
L
L
W 1
cos
where Ft=Ftf + Ftr is the total tractive effort of the vehicle and Fr is the
total rolling resistance of the vehicle. The first term on the right-hand side
of is the static load on the front and rear axle when the vehicle is at rest
on level ground. The second term is the dynamic component of the
normal load.
The maximum tractive effort that the tire–ground contact can support (any small
amount over this maximum tractive effort will cause the tire to spin on the
ground) is usually described by the product of the normal load and coefficient of
road adhesion μ or referred to as frictional coefficient.. For a front-wheel-driven
vehicle,





























g
d
r
t
g
v
b
f
t
h
r
F
F
L
h
g
M
L
L
W
F 1
cos max
max 


And
 
 
L
h
L
r
h
f
L
g
M
F
g
d
g
r
b
v
t
/
1
/
cos
max







where fr is the coefficient of the rolling resistance. For a rear-wheel-driven
vehicle,





























g
d
r
t
g
v
a
r
t
h
r
F
F
L
h
g
M
L
L
W
F 1
cos max
max 


and
 
 
L
h
L
r
h
f
L
g
M
F
g
d
g
r
a
v
t
/
1
/
cos
max







 In vehicle operation, the maximum tractive effort on the driven wheels, transferred
from the power plant through transmission, should not exceed the maximum values
that are limited by the tire–ground cohesion.
 Otherwise, the driven wheels will spin on the ground, leading to vehicle instability.
Vehicle Power Plant and Transmission Characteristics
Two limiting factors to the maximum tractive effort of a
vehicle.
• Maximum tractive effort that the tire–ground contact can
support and
• Tractive effort that the power plant torque with given
driveline gear ratios can provide.
The smaller of these two factors will determine the
performance potential of the vehicle.
For on-road vehicles, the performance is usually limited by
the second factor. In order to predict the overall performance
of a vehicle, its power plant and transmission characteristics
must be taken into consideration.
Power Plant Characteristics
Figure Ideal performance characteristics for a vehicle traction power plant
Figure .Typical performance characteristics of gasoline engines
Figure Typical performance characteristics of electric motors for traction
Figure. Tractive effort of internal combustion engine and a multi gear
transmission vehicle vs. vehicle speed
Figure Tractive effort of a single-gear electric vehicle vs. vehicle speed
 For vehicular applications, the ideal performance
characteristic of a power plant is the constant power
output over the full speed range. Consequently, the
torque varies with speed hyperbolically.
 Electric motors, however, usually have a speed–torque
characteristic that is much closer to the ideal.
 Generally, the electric motor starts from zero speed. As it
increases to its base speed, the voltage increases to its rated
value while the flux remains constant. Beyond the base
speed, the
Transmission Characteristics
For a four-speed gearbox, the following relationship can be
established
3
4
1
gg
g
g
i
i
K 
where ig1, ig2, ig3, and ig4 are the gear ratios for the first, second,
third, and fourth gear, respectively
Figure .Tractive effort characteristics of a gasoline engine-powered vehicle
Figure .Demonstration of vehicle speed range and engine speed range for each
gear
)
1
(
1










g
n
gn
g
g
i
i
K
gn
g
gn i
K
i 
1
gn
g
gn i
K
i 2
2 

gn
ng
g
g i
K
i 1
2


4
3
3
2
2
1
g
g
g
g
g
g
i
i
i
i
i
i


Figure. Tractive efforts of a gasoline engine vehicle with four-gear
transmission and an electric vehicle with single-gear transmission
Hydrodynamic Transmission
• Hydrodynamic transmissions use fluid to transmit power in the form of torque and
speed and are widely used in passenger cars. They consist of a torque converter and
an automatic gearbox.
Major advantages of hydrodynamic transmission
•When properly matched, the engine will not stall.
•It provides flexible coupling between the engine and the driven wheels.
•Together with a suitably selected multispeed gearbox, it provides torque–speed
characteristics that approach the ideal.
Figure Schematic view of a torque converter
Disadvantages of hydrodynamic transmission
• Low efficiency in a stop–go driving pattern and its complex construction.
The performance characteristics of a torque converter are
speed
input
speed
output

sr
C
Torque
Input
Torque
Output

tr
C
Torque
Input
Speed
Input
Torque
Output
Speed
Output



c

3. Efficiency
1. Speed ratio
2. Torque ratio
4. Capacity factor (size factor)
Torque
Speed

tc
K
• The capacity factor, Kc, is an indicator of the ability of the converter to
absorb or transmit torque, which is proportional to the square of the rotary
speed.
• The purpose of determining the combined performance of the engine
and the converter, an engine capacity factor, Ke, is
e
e
e
T
n
K 
where ne and Te are engine speed and torque
Figure. Performance
characteristics
of a torque converter
Figure, Capacity factor of a typical engine
The engine shaft is usually connected to the input shaft of the torque
converter
c
e K
K 
…
Engine capacity factor, Ke
Capacity factor of the torque converter, Ktc
Converter speed ratio, Csr
Torque ratio, Ctr
The output torque and output speed of the converter are then given by
tr
e
tc C
T
T 
sr
e
tc C
n
n 
• Ttc and ntc are the output torque and output speed of the converter
Figure .Tractive effort–speed characteristics of a passenger car with automatic
transmission
With the gear ratios of the gearbox, the tractive effort and speed of the vehicle
can be calculated by
r
i
i
C
T
F t
g
tr
e
t

0

)
/
(
377
.
0
)
/
(
30 0
h
km
i
r
C
n
s
m
i
i
r
C
n
V
t
sr
e
g
sr
e



Continuously Variable Transmission
A continuously variable transmission (CVT) has a gear ratio that can be varied
continuously within a certain range, thus providing an infinity of gear ratios.
The transmission ratio is a function of the two effective diameters:
'
1
2
D
D
ig 
where D1 and D2 are the effective diameters of the output pulley and input
pulley, respectively
Figure. Tractive effort of a gasoline engine-powered vehicle with multispeed
transmission and its resistance
Figure. Tractive effort of an electric motor-powered vehicle with single-speed
transmission and its resistance
Maximum Speed of a Vehicle
The tractive effort and resistance equilibrium can be expressed as
2
0
2
1
cos V
A
C
gf
M
r
i
i
T
f
D
a
r
v
d
t
g
p





The maximum speed of the vehicle can be written as
)
/
(
30 min
0
max
max s
m
i
i
r
n
V
g
d
p


where npmax and ig min min are the maximum speed of the engine (electric
motor) and the minimum gear ratio of the transmission, respectively.
Gradeability
• Gradeability is usually defined as the grade (or grade angle) that
the vehicle can overcome at a certain constant speed, for instance,
the grade at a speed of 100 km/h (60 mph).
• For heavy commercial vehicles or off-road vehicles, the
gradeability is usually defined as the maximum grade or grade
angle in the whole speed range.
The tractive effort and resistance equilibrium can be written as
gi
M
V
A
C
gf
M
r
n
i
i
T
v
f
D
a
r
v
d
t
g
p


 2
0
2
1

 
'
2
0
2
1
r
v
f
D
a
r
v
d
t
g
p
f
d
g
M
V
A
C
gf
M
r
i
i
T
i 












Where



g
M
F
F
d
v
t   
g
M
V
A
C
r
i
i
T
v
f
D
a
d
t
g
p 2
0
2
1 








is called the performance factor.
The gradeability of the vehicle can be calculated as
2
2
2
1
1
sin
r
r
r
f
f
d
f
d






Acceleration Performance
The acceleration performance of a vehicle is usually described by its
acceleration time and the distance covered from zero speed to a certain high
speed (zero to 96 km/h or 60 mph, for example) on level ground.
Newton’s second law, the acceleration of the vehicle can be written as





g
M
F
F
F
dt
dV
a
v
f
t   
)
(
2
1
'
2
0
r
v
f
D
a
r
v
d
t
g
p
f
d
g
g
M
V
A
C
gf
M
r
i
i
T













where δ is called the mass factor
The mass factor can be written as
'
2
2
2
0
2
1
r
M
I
i
i
r
M
I
v
p
g
d
v





where Iw is the total angular moment of the wheels and
Ip is the total angular moment of the rotating components
associated with the power plant.
Calculation of the mass factor, δ, requires knowing the values of
the mass moments of inertia of all the rotating parts.
The mass factor, δ, for a passenger car would be estimated using
the following empirical relation:
2
0
2
2
1
1 i
ig


 


where δ1 represents the second term on the right-hand side of equation.
with a reasonable estimate value of 0.04.
δ2 represents the effect of the power plant-associated rotating parts, and has a
reasonable estimate value of 0.0025.
Figure. Acceleration of a gasoline engine-powered vehicle with four-gear
transmission
Figure. Acceleration of an electric machine-powered vehicle with single-gear
transmission
the acceleration time, t’, and distance, Sa’ from low speed V1 to high speed V2 can
be written, respectively, as
 










2
1 2
0
2
1
/
v
v
f
D
a
r
v
d
t
g
p
v
a dV
V
A
C
gf
M
r
i
i
T
V
M
t



 










2
1 2
0
2
1
/
v
v
f
D
a
r
v
d
t
g
p
v
a dV
V
A
C
gf
M
r
i
i
T
M
S



Figure. Acceleration time and distance along with vehicle speed for a gasoline engine
powered passenger car with four-gear transmission
Figure. Acceleration time and distance along with vehicle speed for an
electric machine powered passenger car with single-gear transmission
Braking Performance
A well-designed regenerative braking system not only improves vehicle
efficiency but also potentially improves braking performance
Braking Force
The braking force can be expressed as
d
b
b
r
T
F 
This maximum braking force limited by the adhesive capability can be
expressed as
Cross Compiler
A Compiler converts source code into machine instructions
 Visual Basic or C compiler
 Cross compiler or Cross assembler
 MPLAB IDE
 MPLAB C Compiler
Target Hardware Device
Pin Description of Target Hardware
 Modular cable and connector

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UNIT-I-EV.pptx

  • 1. 20EE603PE-ELECTRIC VEHICLES UNIT-I INTRODUCTION TO ELECTRIC VEHICLES CONTENT  Impact of different transportation technologies on environment and energy supply  Air pollution and global warming  History of hybrid electric, electric and fuel cell vehicles  Vehicle motion and Dynamic equations for the vehicle  Vehicle power plant, transmission characteristics and Vehicle performance including Braking performance  Fuel economy characteristics of internal combustion engine
  • 2. GLOBAL WARMING  Global warming is a result of the “greenhouse effect” induced by the presence of carbon dioxide and other gases, such as methane, in the atmosphere.  Natural disasters command our attention more than ecological disasters because of the amplitude of the damage they cause. . Figure CO2 emission distribution from 1980 to 1999
  • 3. . Figure Evolution of carbon dioxide emission
  • 4. History of hybrid electric, electric and fuel cell vehicles History of Electric Vehicles • The first electric vehicle was built by Frenchman Gustave Trouvé in 1881. • The first commercial electric vehicle was Morris and Salom’s Electroboat. This vehicle was operated as a taxi in New York City by a company created by its inventors. • The most significant technical advance of that era was the invention of regenerative braking by Frenchman M.A. Darracq on his 1897 coupe. This method allows recuperating the vehicle’s kinetic energy while braking and recharging the batteries, which greatly enhances the driving range. • the most significant electric vehicles of that era was the first vehicle ever to reach 100 km/h. It was “La Jamais Contente” built by Frenchman Camille Jenatzy. Note that Studebaker and Oldsmobile first started in business by building electric vehicles.
  • 5. • In 1945, three researchers at Bell Laboratories invented a device that was meant to revolutionize the world of electronics and electricity: the transistor. It quickly replaced vacuum tubes for signal electronics and soon the thyristor was invented, which allowed switching high currents at high voltages. • During the 1960s and 1970s, concerns about the environment triggered some research on electric vehicles. However, despite advances in battery technology and power electronics, their range and performance were still obstacles. • The modern electric vehicle era culminated during the 1980s and early 1990s with the release of a few realistic vehicles by firms such as GM with the EV1 and PSA with the 106 Electric. • The early 1990s that electric automobiles could never compete with gasoline automobiles for range and performance.
  • 7. • The tractive effort, Ft, in the contact area between tires of the driven wheels and the road surface propels the vehicle forward. • While the vehicle is moving, there is resistance that tries to stop its movement. The resistance usually includes tire rolling resistance, aerodynamic drag, and uphill resistance. • To provide time measurements in terms of the current time and data as opposed to a counter value. • According to Newton’s second law, vehicle acceleration can be as where V is vehicle speed, ΣFt is the total tractive effort of the vehicle, ΣFtr is the total resistance, Mv is the total mass of the vehicle, and δ is the mass factor, which is an effect of rotating components in the power train
  • 8. VEHICLE RESISTANCE • Vehicle resistance opposing its movement includes rolling resistance of the tires, as rolling resistance torque Trf and Trr, aerodynamic drag, Fw, and grading resistance Mv g sin α Rolling Resistance Tire deflection and rolling resistance on a (a) hard and (b) soft road surface
  • 9. • The moment produced by the forward shift of the resultant ground reaction force is called the rolling resistant moment as Tr = Pa • To keep the wheel rolling, a force F, acting on the center of the wheels, is required to balance this rolling resistant moment. This force is expressed as where rd is the effective radius of the tire and fr = a/rd is called the rolling resistance coefficient. • The rolling resistant moment can be replaced equivalently by a horizontal force acting on the wheel center in the opposite direction of the movement of the wheel. • This equivalent force is called rolling resistance with a magnitude of where P is the normal load, acting on the center of the rolling wheel.
  • 10. • When a vehicle is operated on a slope road, the normal load, P, should be replaced by the component, which is perpendicular to the road surface. where α is the road angle . • The rolling resistance coefficient, fr, is a function of the tire material, tire structure, tire temperature, tire inflation pressure, tread geometry, road roughness, road material, and the presence or absence of liquids on the road. • The rolling resistance coefficient of passenger cars on concrete road may be calculated from the following equation:
  • 11. Where; V is vehicle speed in km/h, and f0 and fs depend on inflation pressure of the tire. • In vehicle performance calculation, it is sufficient to consider the rolling resistance coefficient as a linear function of speed. For the most common range of inflation pressure, the following equation can be used for a passenger car on concrete road: • This equation predicts the values of fr with acceptable accuracy for speeds up to 128 km/h.
  • 12. Rolling Resistance Coefficients Conditions Rolling resistance coefficient Car tires on concrete or asphalt 0.013 Car tires on rolled gravel 0.02 Tar macadam 0.025 Unpaved road 0.05 Field 0.1–0.35 Truck tires on concrete or asphalt 0.006–0.01 Wheels on rail 0.001–0.002
  • 13. Aerodynamic Drag  A vehicle traveling at a particular speed in air encounters a force resisting its motion.  This force is referred to as aerodynamic drag. It mainly results from two components: shape drag and skin friction.
  • 14. Shape drag:  The forward motion of the vehicle pushes the air in front of it. However, the air cannot instantaneously move out of the way and its pressure is thus increased, resulting in high air pressure.  In addition, the air behind the vehicle cannot instantaneously fill the space left by the forward motion of the vehicle.  This creates a zone of low air pressure. The motion has therefore created two zones of pressure that oppose the motion of a vehicle by pushing it forward and pulling it backward. The resulting force on the vehicle is the shape drag.
  • 15. Skin friction: Air close to the skin of the vehicle moves almost at the speed of the vehicle while air far from the vehicle remains still. In between, air molecules move at a wide range of speeds. The difference in speed between two air molecules produces a friction that results in the second component of aerodynamic drag. Aerodynamic drag is a function of vehicle speed V, vehicle frontal area Af, shape of the vehicle, and air density ρ. Aerodynamic drag is expressed as
  • 16. Where; • CD is the aerodynamic drag coefficient that characterizes the shape of the vehicle and is the component of wind speed on the vehicle’s moving direction, which has a positive sign when this component is opposite to the vehicle speed and a negative sign when it is in the same direction as vehicle speed.
  • 17. Grading Resistance Figure . Automobile climbing a grade  sin g M F v g  …
  • 18. Indicative drag coefficients for different body shapes
  • 19. • To simplify the calculation, the road angle, α, is usually replaced by grade value when the road angle is small. • To simplify the calculation, the road angle, α, is usually replaced by grade value when the road angle is small.
  • 20.  The tire rolling resistance and grading resistance together are called road resistance, which is expressed as  When the road angle is small, the road resistance can be simplified as
  • 21. DYNAMIC EQUATION Figure. Forces acting on a vehicle
  • 22. • Rolling resistance of front and rear tires Frf and Frr, • Rolling resistance moment Trf and Trr, • Aerodynamic drag F , • Grading resistance Fg (Mv g sinα), and • Tractive effort of the front and rear tires, Ftf and Ftr. Ftf is zero for a rear-wheel-driven vehicle, • Ftr is zero for a front-wheel-driven vehicle. • The dynamic equation of vehicle motion along the longitudinal direction is expressed by Where; dV/dt is the linear acceleration of the vehicle along the longitudinal direction and Mv is the vehicle mass. The first term on the right-hand side is the total tractive effort and the second term is the resistance.
  • 23. By summing the moments of all the forces about point R (center of the tire–ground area), the normal load on the front axle Wf can be determined as the normal load acting on the rear axle can be expressed as L dt dV Mh gh M h R T T gL M W g g v rr rf b v f                   sin cos  For passenger cars, the height of the centre of application of aerodynamic resistance,  hw, is assumed to be near the height of the centre of gravity of the vehicle, hg. Equations can be simplified as              dt dV M h r gf M F F L h g M L L W v g d r v g g v b f    cos cos
  • 24.              dt dV M h r gf M F F L h g M L L W v g d r v g g v a r    cos cos where rd is the effective radius of the wheel. Rewritten as                     g d r t g v b f h r F F L h g M L L W 1 cos And                     g d r t g v a r h r F F L h g M L L W 1 cos where Ft=Ftf + Ftr is the total tractive effort of the vehicle and Fr is the total rolling resistance of the vehicle. The first term on the right-hand side of is the static load on the front and rear axle when the vehicle is at rest on level ground. The second term is the dynamic component of the normal load.
  • 25. The maximum tractive effort that the tire–ground contact can support (any small amount over this maximum tractive effort will cause the tire to spin on the ground) is usually described by the product of the normal load and coefficient of road adhesion μ or referred to as frictional coefficient.. For a front-wheel-driven vehicle,                              g d r t g v b f t h r F F L h g M L L W F 1 cos max max    And     L h L r h f L g M F g d g r b v t / 1 / cos max        where fr is the coefficient of the rolling resistance. For a rear-wheel-driven vehicle,                              g d r t g v a r t h r F F L h g M L L W F 1 cos max max   
  • 26. and     L h L r h f L g M F g d g r a v t / 1 / cos max         In vehicle operation, the maximum tractive effort on the driven wheels, transferred from the power plant through transmission, should not exceed the maximum values that are limited by the tire–ground cohesion.  Otherwise, the driven wheels will spin on the ground, leading to vehicle instability.
  • 27. Vehicle Power Plant and Transmission Characteristics Two limiting factors to the maximum tractive effort of a vehicle. • Maximum tractive effort that the tire–ground contact can support and • Tractive effort that the power plant torque with given driveline gear ratios can provide. The smaller of these two factors will determine the performance potential of the vehicle. For on-road vehicles, the performance is usually limited by the second factor. In order to predict the overall performance of a vehicle, its power plant and transmission characteristics must be taken into consideration.
  • 28. Power Plant Characteristics Figure Ideal performance characteristics for a vehicle traction power plant
  • 29. Figure .Typical performance characteristics of gasoline engines
  • 30. Figure Typical performance characteristics of electric motors for traction
  • 31. Figure. Tractive effort of internal combustion engine and a multi gear transmission vehicle vs. vehicle speed
  • 32. Figure Tractive effort of a single-gear electric vehicle vs. vehicle speed
  • 33.  For vehicular applications, the ideal performance characteristic of a power plant is the constant power output over the full speed range. Consequently, the torque varies with speed hyperbolically.  Electric motors, however, usually have a speed–torque characteristic that is much closer to the ideal.  Generally, the electric motor starts from zero speed. As it increases to its base speed, the voltage increases to its rated value while the flux remains constant. Beyond the base speed, the
  • 34. Transmission Characteristics For a four-speed gearbox, the following relationship can be established 3 4 1 gg g g i i K  where ig1, ig2, ig3, and ig4 are the gear ratios for the first, second, third, and fourth gear, respectively
  • 35. Figure .Tractive effort characteristics of a gasoline engine-powered vehicle
  • 36. Figure .Demonstration of vehicle speed range and engine speed range for each gear
  • 37. ) 1 ( 1           g n gn g g i i K gn g gn i K i  1 gn g gn i K i 2 2   gn ng g g i K i 1 2   4 3 3 2 2 1 g g g g g g i i i i i i  
  • 38. Figure. Tractive efforts of a gasoline engine vehicle with four-gear transmission and an electric vehicle with single-gear transmission
  • 39. Hydrodynamic Transmission • Hydrodynamic transmissions use fluid to transmit power in the form of torque and speed and are widely used in passenger cars. They consist of a torque converter and an automatic gearbox. Major advantages of hydrodynamic transmission •When properly matched, the engine will not stall. •It provides flexible coupling between the engine and the driven wheels. •Together with a suitably selected multispeed gearbox, it provides torque–speed characteristics that approach the ideal. Figure Schematic view of a torque converter
  • 40. Disadvantages of hydrodynamic transmission • Low efficiency in a stop–go driving pattern and its complex construction. The performance characteristics of a torque converter are speed input speed output  sr C Torque Input Torque Output  tr C Torque Input Speed Input Torque Output Speed Output    c  3. Efficiency 1. Speed ratio 2. Torque ratio
  • 41. 4. Capacity factor (size factor) Torque Speed  tc K • The capacity factor, Kc, is an indicator of the ability of the converter to absorb or transmit torque, which is proportional to the square of the rotary speed. • The purpose of determining the combined performance of the engine and the converter, an engine capacity factor, Ke, is e e e T n K  where ne and Te are engine speed and torque
  • 42. Figure. Performance characteristics of a torque converter Figure, Capacity factor of a typical engine
  • 43. The engine shaft is usually connected to the input shaft of the torque converter c e K K  … Engine capacity factor, Ke Capacity factor of the torque converter, Ktc Converter speed ratio, Csr Torque ratio, Ctr The output torque and output speed of the converter are then given by tr e tc C T T  sr e tc C n n  • Ttc and ntc are the output torque and output speed of the converter
  • 44. Figure .Tractive effort–speed characteristics of a passenger car with automatic transmission With the gear ratios of the gearbox, the tractive effort and speed of the vehicle can be calculated by r i i C T F t g tr e t  0  ) / ( 377 . 0 ) / ( 30 0 h km i r C n s m i i r C n V t sr e g sr e   
  • 45. Continuously Variable Transmission A continuously variable transmission (CVT) has a gear ratio that can be varied continuously within a certain range, thus providing an infinity of gear ratios. The transmission ratio is a function of the two effective diameters: ' 1 2 D D ig  where D1 and D2 are the effective diameters of the output pulley and input pulley, respectively
  • 46. Figure. Tractive effort of a gasoline engine-powered vehicle with multispeed transmission and its resistance
  • 47. Figure. Tractive effort of an electric motor-powered vehicle with single-speed transmission and its resistance
  • 48. Maximum Speed of a Vehicle The tractive effort and resistance equilibrium can be expressed as 2 0 2 1 cos V A C gf M r i i T f D a r v d t g p      The maximum speed of the vehicle can be written as ) / ( 30 min 0 max max s m i i r n V g d p   where npmax and ig min min are the maximum speed of the engine (electric motor) and the minimum gear ratio of the transmission, respectively.
  • 49. Gradeability • Gradeability is usually defined as the grade (or grade angle) that the vehicle can overcome at a certain constant speed, for instance, the grade at a speed of 100 km/h (60 mph). • For heavy commercial vehicles or off-road vehicles, the gradeability is usually defined as the maximum grade or grade angle in the whole speed range. The tractive effort and resistance equilibrium can be written as gi M V A C gf M r n i i T v f D a r v d t g p    2 0 2 1    ' 2 0 2 1 r v f D a r v d t g p f d g M V A C gf M r i i T i             
  • 50. Where    g M F F d v t    g M V A C r i i T v f D a d t g p 2 0 2 1          is called the performance factor. The gradeability of the vehicle can be calculated as 2 2 2 1 1 sin r r r f f d f d      
  • 51. Acceleration Performance The acceleration performance of a vehicle is usually described by its acceleration time and the distance covered from zero speed to a certain high speed (zero to 96 km/h or 60 mph, for example) on level ground. Newton’s second law, the acceleration of the vehicle can be written as      g M F F F dt dV a v f t    ) ( 2 1 ' 2 0 r v f D a r v d t g p f d g g M V A C gf M r i i T              where δ is called the mass factor The mass factor can be written as ' 2 2 2 0 2 1 r M I i i r M I v p g d v     
  • 52. where Iw is the total angular moment of the wheels and Ip is the total angular moment of the rotating components associated with the power plant. Calculation of the mass factor, δ, requires knowing the values of the mass moments of inertia of all the rotating parts. The mass factor, δ, for a passenger car would be estimated using the following empirical relation: 2 0 2 2 1 1 i ig       where δ1 represents the second term on the right-hand side of equation. with a reasonable estimate value of 0.04. δ2 represents the effect of the power plant-associated rotating parts, and has a reasonable estimate value of 0.0025.
  • 53. Figure. Acceleration of a gasoline engine-powered vehicle with four-gear transmission
  • 54. Figure. Acceleration of an electric machine-powered vehicle with single-gear transmission
  • 55. the acceleration time, t’, and distance, Sa’ from low speed V1 to high speed V2 can be written, respectively, as             2 1 2 0 2 1 / v v f D a r v d t g p v a dV V A C gf M r i i T V M t                2 1 2 0 2 1 / v v f D a r v d t g p v a dV V A C gf M r i i T M S    Figure. Acceleration time and distance along with vehicle speed for a gasoline engine powered passenger car with four-gear transmission
  • 56. Figure. Acceleration time and distance along with vehicle speed for an electric machine powered passenger car with single-gear transmission
  • 57. Braking Performance A well-designed regenerative braking system not only improves vehicle efficiency but also potentially improves braking performance Braking Force The braking force can be expressed as d b b r T F  This maximum braking force limited by the adhesive capability can be expressed as
  • 58. Cross Compiler A Compiler converts source code into machine instructions  Visual Basic or C compiler  Cross compiler or Cross assembler  MPLAB IDE  MPLAB C Compiler
  • 60. Pin Description of Target Hardware  Modular cable and connector