hybrid drive systems for vehicles - iea ht19/lectures/ehs_l5_2019_hybrid.pdf · resistance, charger...
TRANSCRIPT
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Hybrid Drive Systems for Vehicles
• L5
– Alternative drive train Components
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Drawback with conventional drivetrains
• Limited ability to optimize
operating point
• No ability to regenerate braking
power
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Solutions
• Smaller Engine
+ Reach higher operating points
- Still cannot regenerate
• Store energy in the vehicle mass
- Speed variations
- Still cannot regenerate
• Secondary energy storage
+ Selectable operating point (Pstorage
= Pice – Proad)
+ Can regererate
- Expensive
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Smaller Engine – cylinder deactivation
IC E EM
PEBatt
GEARClutch
D
DIFFIC E Clutch
0 200 400 6000
50
100
150
0 200 400 6000
50
100
150
0 200 400 6000
50
100
150
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Combustion On Demand
• Cylinder deactivation via free
valve control
• 4-stroke, 6-stroke, 8-stroke ...
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Optimized efficiency
0
200
400
600
0
20
40
60
80
0
0.05
0.1
0.15
0.2
0.25
0.3
Speed [rad/s]Torque [Nm] 0
200
400
600
0
20
40
60
80
0
0.05
0.1
0.15
0.2
0.25
0.3
Speed [rad/s]Torque [Nm] 0
200
400
600
0
20
40
60
80
0
0.5
1
1.5
2
Speed [rad/s]
Number of Cylinders in use
Torque [Nm]
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Max efficiency
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
x 104
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
ICE Power [W]
Optim
al E
ffic
iency
Blue=2-cylinder std, Red=2-cylinder COD
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Secondary Energy Storage selection
• Why electric?
– Efficient secondary energy
converters (Electrical machines)
– Safe, quiet, flexible installation
– Increasing need for Auxilliary electric
power
– High torque density of Electrical
Mchines• Up to 30 Nm/kg
• ICE: <2 Nm/kg
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Secondary energy storage – Hybridisation
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Energy Storage Systems
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How does a battery look?
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Design criteria
Cost
OperationPerformance
Vehicle
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Performance
Pb-Acid
NiMH
Li-ionP
ow
er
Den
sit
y
Energy Density
S.C
Effpower
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What is a battery cell?
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Different cell formats
Prismatic Cylindrical Pouch
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Same principle inside
PouchCheaper than prismatic to manufacture
Need mechanical stability when packing
PrismaticSimplier building block for module
More mechanically stable than pouch
(still needs mechanical support in the module)
CylindricalEasy and cheap to manufacture
More difficult to pack
More difficult to get good contact when cooling
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Short introduction to Battery Characteristics
Closed
no material transfer
Controlled
no spontaneous reaction
different energy levels
Reversible
rechargeable
high efficiency
The Battery Cell – a Chemical ReactorElectric
EnergyThermal Energy:
heating/cooling
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SOC – state-of-chargeo Charge level related to reference
capacity1
o 0-1 or 0-100%
OCV – open circuit voltageo Battery voltage at rest°o Measured after 15-60min rest
period2
o Affected by temperature, age & hysteresis2
Nominal Voltageo Electrochemical voltage average OCV
Short introduction to Battery Characteristics
1. Often 1C-rate discharge at +23°C
2. Applicable for NiMH & LFP. See separate slide.
100% SOC 0% SOC50% SOC
0204060801001
1.5
2
2.5
3
3.5
4
4.5
SOC [%]
Open C
ircuit V
oltage [V
]
LCO//Graphite
NMC//Graphite
LMO//Graphite
NCA//Graphite
LFP//Graphite
LMO//LTO
PbA
NiMH
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Physical Background & Model Design
LiFePO4: SEM 60k
LiC6: SEM 60k
Highly porous structure to
maximise active area
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+
-
Current
collectorSeparator
Anode Cathode
+
-
Thick
layers
Large
particles
Power- vs. Energy- optimised
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Battery Cell Properties
• All parameters are non-linear
• Strong dependence on SOC,
temperature, current rate & direction, and
history.
• OSV = Open Circuit Voltage
• R0, R1, C1 describe the battery
resistance, charger transfer and “double
layer effect”1
• R2, C2 describe the diffusion2 effect
1) The first layer, the surface charge (either positive or
negative), consists of ions adsorbed onto the object due to
chemical interactions. The second layer is composed of ions
attracted to the surface charge via the Coulomb force,
electrically screening the first layer.
https://en.wikipedia.org/wiki/Double_layer_(surface_science)
2) Movement of Lithium ions
https://www.sciencedirect.com/science/article/pii/S0360544217317127#fig1
http://www.mdpi.com/1996-1073/9/6/444
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0204060801001
1.5
2
2.5
3
3.5
4
4.5
SOC [%]
Open C
ircuit V
oltage [V
]
LCO//Graphite
NMC//Graphite
LMO//Graphite
NCA//Graphite
LFP//Graphite
LMO//LTO
PbA
NiMH
Short introduction to Battery Characteristics
• Cell capacity [Ah]– Defined by cell design & choice of active material
Typical range: 5-100Ah
• Cell voltage [V]– Defined by choice of active material
Typical range 1-4.5V
• Cell energy [Wh]– Energy = Capacity • Voltage
Typical range: 5-400Wh
• Cell power [W]– Power = Voltage • Current
Limited by cell design & choice of active material
Typical range: 5-5000W
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Short introduction to Battery Characteristics
SOH – state-of-health
o Actual capacity related to reference
capacity
o 0-1 or 0-100%, sometimes 80-100%
o No standard definition
BOL – beginning of life
o Fresh / unused battery
EOL – end of life
o Aged battery with insufficient performance
o Can be defined by capacity, energy,
power etc.
No standard definition
0 50 100 150 200 250 3000
10
20
30
40
50
60
70
80
90
100
Cycles x 1k
Cap
acit
y [
%]
?
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Short introduction to Battery Characteristics
Cell Voltage = f(...)
o Material Selection
o State of Charge (SOC)
o Current / power
o Temperature
o Age
→No equilibrium / steady-state
0 10 20 30 40 50 60 70 80 90 1001.8
2
2.2
2.4
2.6
2.8
3
3.2
3.4
3.6
3.8
SOC [%]
Cell
Voltage [
V]
Low current
Medium current
Open circuit voltage
Discharge
Charge
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Short introduction to Battery Characteristics
Cell Voltage = f(...)
o Material Selection
o State of Charge (SOC)
o Current / power
o Temperature
o Age
→No equilibrium / steady-state
43 44 45 46 47 48 49 50 51 52 53
3.1
3.15
3.2
3.25
3.3
3.35
3.4
3.45
3.5
SOC [%]
Cell
Voltage [
V]
Low current
Medium current
Open circuit voltage
Discharge
Charge
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Short introduction to Battery Characteristics
Cell Voltage = f(...)
o Material Selection
o State of Charge (SOC)
o Current / power
o Temperature
o Age
→No equilibrium / steady-state
0 10 20 30 40 50 60 70 80 90 1001.8
2
2.2
2.4
2.6
2.8
3
3.2
3.4
3.6
3.8
SOC [%]
Cell
Voltage [
V]
Low current
Medium current
Open circuit voltage
Aged cell / high current
Discharge
Charge
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State of Charge
• C-rate = P[kW] / W[kWh]
– C=1: 1 h full charge
– C=2: 30 min full charge
Vo
ltag
e
100% State of Charge 0%
Li-ion
NiMHS.C.
https://www.researchgate.net/figure/Discharge-curves-for-different-technologies-
and-different-batteries_fig1_224395476
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Applied Modelling: Performance & Accuracy
IROCVU
I
→
Simple Battery model
• Constant parameters
• Very fast, suitable for
optimisation
• Very limited accuracy
+
-
OCV = constant
R = constant
+
-
Terminal
Voltage
OCVU-U R
1=
R
OCV-UU=IU=P 2
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Applied Modelling: Performance & Accuracy
I
→
Simple Battery model with
SOC
• Simple look-up tables
• Still fast, suitable for
optimisation
• Still limited accuracy
+
-
OCV = f(SOC)
R = f(SOC)
+
-
Terminal
Voltage
ISOCRSOCOCVU
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Applied Modelling: Performance & Accuracy
Enhanced battery model with SOC
& t
• Simple look-up tables
• Two internal states – not suitable
for optimisation+
-
OCV = f(SOC…)
R’ = f(SOC…)
C = f(SOC…)
+
-
Terminal
Voltage
R = constant
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Applied Modelling: Performance & Accuracy
Advanced battery model with
SOC, T & t
• Simple look-up tables
• Three internal states – not
suitable for optimisation
+
-
OCV = f(SOC, T,I…)
R = f(SOC, T,I…)
C = f(SOC, T,I…)
Iout
+
-
Terminal
Voltage
R = f(SOC, T)
R = f(SOC, T)
Voltage Drop, Udrop (t)
-+
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Applied Modelling: Performance & Accuracy
Separate high-frequency models
are needed for specific casesbatteries act as inductors at high frequency and as
capacitors at low
RCT
L*
α3
W
α2Rohm
CDL
α1
Ohm
jC
jCR
RLjZ
a
dla
W
ct
Ohm
1
2
3
1
1
1
1*
Models available form
Volvo GTT-ATR for
specific cells upon
request
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Battery simulation model : I
b a t t i
b a t t e
b a t t R
e c h P a r g t e r m P
l o s s P
term
ech
batt
losstermech
battbattloss
batt
term
batt
batt
batt
battbatt
battbattbattbattbattbattbattbattterm
P
P
PPP
iRP
R
P
R
e
R
ei
iRieiiReP
arg
arg
2
2
2
22
)(
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Battery Simulation model : II
-1 -0.5 0 0.5 1
x 105
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2Battery charge efficiency
Battery power [W]
Effi
cien
cy
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SAFT data
© Mats Alaküla
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SAFT Lithium teknologi
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Tesla Model S&X, Milage vs remaining battery capacity
• Based on the
18650 cell.
• Model 3 use
the 2170 cell
https://www.teslarati.com/tesla-battery-life-80-percent-capacity-840km-1-million-km/
+3
3 %
vo
lum
e
+3
3 %
en
erg
y
-25 %
co
st/
en
erg
y
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Battery Lifetime : II
• Calculate the total converted
energy as:
Wconv=Wbatt*DoD/100*NoC
• And the battery cost per kWh
converted energy as:
SEKperkWh = CostPerkWh*Wbatt /
Wconv
CostPerkWh = 3000 [SEK]
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Battery Lifetime : III
• Note! – The total
converted energy falls fast
with increased DoD !!!
• The cost per converted
kWh increases rapidly
with increased DoD
0 20 40 60 80 10010
3
104
105
106
NoC
Depth Of Discharge [%]
0 20 40 60 80 10010
0
101
102
103
Depth Of Discharge [%]
Con
verte
d E
nerg
y [M
Wh]
0 20 40 60 80 1000
0.5
1
1.5
2
Depth Of Discharge [%]
Cos
t[SE
K/k
Wh]
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Battery Lifetime : IV
1002,
Dbatt
avech
W
tP
DoD
• Assume that DoD is driven by
a constant charge Power
• then… :
DDoD
SOC
PchargePch,ave
0 t
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0
5
10
15
200
20 4060
80100
0
2
4
6
8
10
12
DoD [%]
Battery Lifetime in Years, used 8h/day, 300 days/year
Pch,ave/Wbatt [1/h]
[yea
rs]
Battery Lifetime : V
NoC
W
P
DoD
NoCP
WDoDLifetime
W
tP
DoD
batt
avech
avech
batt
batt
avech
D
100
2
100
2
1002
,
,
,
• The battery lifetime can be calculated as:
• Now, plot the battery lifetime as a function of DoD and (Pch,ave/Wbatt)– Assume 8h/day, 300 days/year
![Page 42: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/42.jpg)
Battery Lifetime: Conclusions
• Deep discharge of a
battery costs lifetime
– Best with less than 10 % DoD
• The battery may have a
high power density BUT
using it is expensive, i.e. a
high power/energy ratio
costs lifetime
– Best with an average battery
power in the range 3…4 x the
battery energy capacity.
![Page 43: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/43.jpg)
Electric Motor Drive
Systems
![Page 44: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/44.jpg)
What is an Electrical Machine?
• ”A device that convertes between
Electric and Mechanic energy,
both ways”
• Physical principles?
› Some kind of field ...
» Acoustic field
» Piezoelectric deformation
» Electrostatic field
» Magnetic field
http://www.shinsei-motor.com/English/techno/index.html
![Page 45: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/45.jpg)
Energy density, Magnetic vs Electric
0
2
2
B
2
2
0
E
Magnetic Energy Density
Electric Energy Density
12
0 1085.8
7
0 104
3/ mWs5104
3/ mWs1104
Tesla1
MV/m3
47
![Page 46: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/46.jpg)
Linear Motion
• In many applications the “most wanted”
• Often translated from a rotation
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Generic Force
Force = Flux density * Current * length (twice)
Power = Force * Speed = Voltage * current
Voltage = Force *speed / current
= Flux density * length * speed
Current
ForceFlux density
Lorentz force
= current in magnetic field
![Page 48: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/48.jpg)
Multi Phase, otherwise it stops
End windings don’t contribute to torque,
but takes a lot of space …
![Page 49: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/49.jpg)
Linear movement from generic force
![Page 50: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/50.jpg)
Rotating movement from generic force
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Conclusions on force and movement
• The same generic circuit accomplish both linear and rotating
movement.
• One phase is not enough for continuous force.
• Qualitative:
Voltage ~ Speed
Current ~ Force
![Page 52: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/52.jpg)
Add the Reluctance torque ...
External Magnetic Field
Electrically or
permanently
magnetized =
Lorenz
forces
Only
Reluctance
force
Lorentz
AND
Reluctance forces
No Torque
![Page 53: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/53.jpg)
Different mechanical arrangements
• Windings in the rotor
• Windings in the stator
• Windings in both sides
![Page 54: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/54.jpg)
Magnetic circuits
• The magnetic core provides mechanic support and construction
• Soft and hard magnetic materials
– Solid, laminated or powder cores – high μ & Bsat vs Ploss
– Discrete, multipole magnets – high BrHc vs cost & integration
• Establish magnetic coupling – linkage vs leakage
![Page 55: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/55.jpg)
Electric circuits
• Initially referred as 3φ symmetric and sinusoidal
• Insulated electric conductor (Wire) wound as coils or formed as waves
• Distributed or concentrated windings
– Arrangement measured by winding factor - ratio of actual MMF to full-pitched winding MMF
• Manufacturability and assembling
![Page 56: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/56.jpg)
Stator, Rotor and Airgap
• The stator is static (not
moving)
• The rotor rotates
• The air gap seperates
them– Usually < 1 mm
Air gap
![Page 57: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/57.jpg)
# of poles = p
N
S
N
S
N
S
e = d
dt
e = d
dt+
-
+
-
59
mechel
p
2
elmech Tp
T 2
elelelelmechmech TTp
pT
2
2PowerMechanical
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Core back, teeth etc ... Tooth
Slot
Stator Core Back
Rotor Core Back
1 Pole =
2 x ½ pole
![Page 59: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/59.jpg)
Torque and Power
• Torque = Force * radiuson the shaft
T = F * r
• Power = Torque*Speedon the shaft
P = T *
but, also …
• Power = Voltage * Currenton the electrical terminals
P = U * I
r
F
U,I
![Page 60: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/60.jpg)
Tangential force
• Interaction of flux and current
• ”F= B i l ”
112
sgmeistangential KBlDF
r
Ftangential
Inner stator
diameter
Equivalent active
magnetic length
Air gap flux density Stator Angular
Current Density
![Page 61: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/61.jpg)
mAtp
iD
NkK e
is
ss /
2cosˆ6
)( 1
s
Stator inner diameter
Stator current / meter air gap periphery
Angular current density
Number of winding turns
Winding factor Number of poles
Phase current amplitude
![Page 62: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/62.jpg)
Shear Force & Torque
• Current and Flux interact for tangential
force
s = Force/Unit area is a key figure
• A good design accomplish about
s = 10 000 … 30 000 [N/m2]
• … in continuous operation and
2…4 times that in transient operation
r
s
21111
/2
2 mNKB
lD
KBlD
A
F sgm
eis
sgmeis
avg
s
11
2
4sgmeis KBlDT
![Page 63: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/63.jpg)
Conclusion on torque
The torque is proportional to the:
– Magnetic flux density – Limited by material propertied to about 1.0 ... 1.5 Tesla
– Spatial current ”density” – Limited by cooling capability
– Axial length of the machine
– Diameter SQUARED !
11
2
4sgmeis KBlDT
= Rotor Volume
![Page 64: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/64.jpg)
Hybrid Topologies
DEngine El
Mach
El. mach
El.
mach
![Page 65: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/65.jpg)
Inner or Outer Rotor, Radial or Axial flux …
RotorRotor
Stator
Stator Stator
Stator
Ro
tor
Sta
tor
Sta
tor
Ro
tor
Inner rotor
Radial flux
Outer rotor
Radial flux
Axial flux
End winding
![Page 66: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/66.jpg)
Distributed or Concentrated winding
Axially shorter end
winding
Cheaper assembly
Lower torque quality
Longer end winding
More expensive
assembly
Higher torque quality
![Page 67: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/67.jpg)
Shear Force & Torque
Current and Flux interact for
tangential force
s = Force/Unit area is a key
figure
A good design accomplish
about s = 10000-30000
[N/m2] in continuous
operation and 2..4 times more
in transient operation
s
![Page 68: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/68.jpg)
Form Factor
• For the same torque, a machine can
be either short and wide, or long and
slender …
• Assume 25000 [N/m2], and a desired
torque of 1000 Nm, AND that the
stator outer radius is 0.15 – 0.5 meter.
– How long will the machine be to fulfill
the torque requirement?
• The long and slender machine will
accelerate faster
– Torque ~ radius2*length
– Inertia ~ radius4*length
• Acceleration = Torque/Inertia ~ 1/radius2 High torque density but
low acceleration
Low torque
density but high
acceleration
0 0.1 0.2 0.3 0.4 0.5 0.6 0.70
0.1
0.2
0.3
0.4
0.5
0.6
Radius
Length
![Page 69: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/69.jpg)
Eaton
• ”ISAM”
• ”Short and Wide”
• Concentrated
winding
• PM motor from
Hitachi
![Page 70: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/70.jpg)
Voith• ”ExSAM”
• ”Long and slender”
• Induction motor from
??
– Probably very close
to standard
industrial … good
commonality
• 150 kW 520 nm @
motor or input shaft?Siemens 1FHX
![Page 71: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/71.jpg)
Volvo/Renault/Mack/Nissan
• ”ISAM”
• ”Short and Wide”
![Page 72: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/72.jpg)
Some Cars
”ISAM”
PM Motor
Concentrated
windings”
Complex
PM Machines
Distributed windings
97000 N/m2 !!!
![Page 73: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/73.jpg)
Conclusions on force and movement• The same generic circuit accomplish both linear and rotating
movement.
• One phase is not enough for continuos force
• Qualitative:
– Voltage ~ Speed
– Current ~ Force
![Page 74: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/74.jpg)
Field Weakening : I
• Remember:– Voltage ~ flux density * speed
– Torque ~ flux density * current
– Power ~ speed*torque = voltage*current
• The required voltage ”hits the roof” at some speed. What to do, to increase speed beyond?– Answer: Reduce flux density’
– Consequences:
• The voltage requirement is kept constant, as desired
• The torque capability drops as the flux density.
• The power is kept constant, since the speed increases in the same rate as the torque drops with increasing speed.
![Page 75: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/75.jpg)
Field Weakening : II
0
50
100
150
200
250
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10000 [rpm]
[Nm]
[kW, V]B
ase s
pee
d
Const
torqueConstant
power
Field weakening ratio 1:4
Ma
x s
pee
d
Max voltage and power
![Page 76: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/76.jpg)
Example from Toshiba”Large Torque and High Efficiency Permanent Magnet Reluctance
Motor for A Hybrid Truck” - Masanori Arata et. Al, EVS-22
![Page 77: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/77.jpg)
Permanent Magnet Synchronous Machines
• Same as the generic machine
• Voltage and frequency proportional to
speed
• Current proportional to torque
• High torque density
– 1...10 Nm/kg
– Compare to ICE 1...2 Nm/kg
• High efficiency
– Up to 97%
• Higher efficiency, higher torque density
and more expensive than other
machines
– Due to the permanent magnets.
![Page 78: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/78.jpg)
The Induction Machine : I
• Same stator as the PMSM
• The rotor is a short circuited ”cage”
• The rotor current must be induced magnetically– Losses related to magnetization
”competes” with losses due to torque generation.
• Robust construction
• Low cost
• Low/no maintenance
• Heavily standardized for industrial applications
• Voltage and frequency proportional to speed, like PMSM
![Page 79: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/79.jpg)
Comparison – Electric Drives
1.0 2.0
AC (IM)
PM
2.0
4.0
6.0
8.0
Tmax [Nm/kg]
Pcontinuous [kW/kg]
![Page 80: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/80.jpg)
Electrical machine losses
• Several types:
– Copper losses (Ri2)
– Iron losses (k1*f*B2 + k2*(f*B)2)
– Windage losses (surface speed)
– Other friction losses
• Approximately calculated by– [EtaEM,Tem,Wem] =
CreateEMmap(Pem_max,wem_max,Tem_max)
Hysteresis losses
Eddy current losses
0200
400600
800
0
50
100
150
200
0
0.5
1
Speed [rad/s]
Electrical machine efficiency
Torque [Nm]
![Page 81: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/81.jpg)
The Traction motor efficiency
0200
400600
800
0
50
100
150
200
0
0.5
1
Speed [rad/s]
Electrical machine efficiency
Torque [Nm]
Torque limitPower limit
Speed limit
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Power Electronics
• Needed to condition the battery voltage to the
different electrical drives
• Use switching technology for high efficiency
– Conventional converters (like loudspeaker amplifiers)
efficiency 25-60 % due to continuous control of the voltage.
– Switching means “on/off” control of voltage, leading to
efficiency above 95 %.
![Page 83: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/83.jpg)
1 Phase Pulse Width Modulation (PWM)
Modulating wave Voltage reference
Output voltage0 0.005 0.01 0.015
0
20
40
60
80
100
0 0.005 0.01 0.0150
20406080
100
sa va
+100
- 0
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Three-phase Converters
id
sa 0 va
+Ud/2
-Ud/2
sb vb sc vc
+ uab - + ubc -
- uca +
+
ua
-
+
ub
-
+
uc
- vo
Traction motor
![Page 85: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/85.jpg)
Three-phase Pulse Width Modulation
• The voltages
contain high
harmonics that
cause:
– Audible noise
– Torque ripple
– EMC problems
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02-500
0
500
uaref & tri
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02-500
0
500va
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02-500
0
500vo
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02-500
0
500ua
varef
tri
va
v0
u=va-v0 grundton 50 Hz
![Page 86: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/86.jpg)
Simple Converter Loss Model
![Page 87: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/87.jpg)
Switching and Conduction losses
![Page 88: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/88.jpg)
Reverse recovery Losses
![Page 89: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/89.jpg)
3-phase converter losses
![Page 90: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/90.jpg)
Loss estimation
![Page 91: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/91.jpg)
Example : V_to = 0.95; % [V]
V_do = 1.65; % [V]
R_t_on = 0.5/300; % [Ohm]
R_d_on = 0; % [Ohm]
E_d_rr = 0.0485; % [J]
E_on = 26e-3; % [J]
E_off = 55.5e-3; % [J]
V_dc_n = 600; % [V]
I_n = 450; % [A]
Udc = 600; % [V]
P_max = 200000; % [W]
![Page 92: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/92.jpg)
Converter Efficiency for different fsw &
cos(j)
0
100
200
300
400 0
200
4000
50
100
150
200
U ph-ph [V RMS]
P out [kW]
I phase [A RMS]
0
100
200
300
400 0
200
4000
2000
4000
6000
8000
U ph-ph [V RMS]
P loss [W]
I phase [A RMS]
0
100
200
300
400 0
200
40050
60
70
80
90
100
U ph-ph [V RMS]
Efficiency [%]
I phase [A RMS]
0
100
200
300
400 0
200
4000
50
100
150
200
U ph-ph [V RMS]
P out [kW]
I phase [A RMS]
0
100
200
300
400 0
200
4000
1000
2000
3000
U ph-ph [V RMS]
P loss [W]
I phase [A RMS]
0
100
200
300
400 0
200
40020
40
60
80
100
U ph-ph [V RMS]
Efficiency [%]
I phase [A RMS]
fsw=1000 3000 10 000 Hz, cosj)=1
fsw= 3000 Hz, cosj)=0 0.25 0.5 0.75 1
![Page 93: Hybrid Drive Systems for Vehicles - IEA ht19/Lectures/EHS_L5_2019_hybrid.pdf · resistance, charger transfer and “double layer effect”1 • R2, C2 describe the diffusion2 effect](https://reader034.vdocuments.mx/reader034/viewer/2022042323/5f0de8f67e708231d43caf44/html5/thumbnails/93.jpg)
Power Electronic Efficiency
• Mostly depending on the ratio
• Almost constant over wide operating range
• Can be represented by a constant, e.g. 0.97
Output voltage
DC link voltage