From: <Saved by Microsoft Internet Explorer 5>
Subject: Graham's Toyota Prius
Date: Mon, 13 Mar 2006 11:07:06 -0600
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<HTML><HEAD><TITLE>Understanding Contents</TITLE>
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<H4><FONT face=3DArial>Understanding your Prius</FONT></H4>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/Introductio=
n.htm">Introduction</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/PowerTrain.=
htm">Powertrain=20
Components</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/InternalCom=
bustion.htm">The=20
Internal Combustion Engine</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/MotorGenera=
tors.htm">The=20
Motor / Generators</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/Continuousl=
yVariableTransmission.htm"=20
target=3Dmain>Continuously Variable Transmission</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/PowerSplitD=
evice.htm">The=20
Power Split Device</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/WhatsGoingO=
nAsIDrive.htm"=20
target=3Dmain>What's Going On As I Drive?</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/MakingSense=
OfDisplays.htm">Making=20
Sense of the Displays</A></FONT></P>
<P><FONT face=3DArial size=3D2>
<HR align=3Dleft SIZE=3D1>
</FONT>
<P></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/InitialContents.htm"=20
target=3Dcontents>Back to Main Contents</A></FONT></P>
<P><FONT face=3DArial size=3D2><A=20
href=3D"http://www.ecrostech.com/prius/original/Glossary.htm" =
target=3Dmain>Glossary=20
of Terms</A></FONT></P>
<P><FONT face=3DArial size=3D2>=A9 2001, Graham =
Davies</FONT></P></BODY></HTML>

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<H1>PowerTrain Components</H1>
<P>The diagram below is a schematic of the Prius powertrain. =
&nbsp;"Schematic"=20
means that it shows the essential features, but takes liberties with =
detail.=20
&nbsp;In particular, I have grossly simplified the way in which the =
internal=20
combustion engine (ICE) drives the planet gears in the power split =
device (PSD)=20
and the way that the ring gear is connected to the silent chain sprocket =
and=20
motor/generator 2 (MG2). &nbsp;It is, however, accurate that the shaft =
from the=20
ICE (blue) passes through the shaft of MG1 and the sun gear (yellow) in =
order to=20
reach the planet carrier on the other side of the PSD.</P>
<P>The following sections contain descriptions of the various powertrain =

components. &nbsp;You can read them by just scrolling down, or click on =
parts of=20
the diagram to see their descriptions in any order you wish. =
&nbsp;There's also=20
a paragraph about <A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/PowerTrain.=
htm#WhatsMissing">what's=20
missing</A> from the Prius that would be present in a conventional =
car.</P>
<P><IMG=20
src=3D"http://www.ecrostech.com/prius/original/Understanding/Images/Power=
Train.gif"=20
align=3Dtop useMap=3D#ImageMap1 border=3D0></P>
<H2><A name=3DInternalCombustionEngine>Internal Combustion =
Engine</A></H2>
<P>The Prius has an internal combustion engine (ICE) which is unusually =
small=20
for a car of this size (1300 kg). &nbsp;This is made possible by the =
presence of=20
the electric motors and battery, which supplement the ICE when power =
demand is=20
high. &nbsp;A conventional car, with an engine sized for hard =
acceleration and=20
climbing steep hills, almost always operates that engine with low =
efficiency.=20
&nbsp;Maximum efficiency generally occurs at around half of the engine's =
peak=20
power output. &nbsp;A small engine can operate closer to this maximum =
efficiency=20
because power demands encountered in normal driving are a larger =
fraction of its=20
peak power. &nbsp;The possibility of using a small engine in a hybrid =
vehicle is=20
called "engine downsizing".</P>
<P>In addition to being downsized, the Prius engine uses many techniques =
to=20
improve efficiency and broaden the range of conditions under which high=20
efficiency is achieved. &nbsp;The engine uses the Atkinson cycle, rather =
than=20
the usual Otto cycle, which improves efficiency particularly at lower =
power by=20
reducing "pumping loss". &nbsp;Limiting the maximum spin rate to 4500 =
r.p.m.=20
allows lightweight parts to be used, reducing inertia and friction =
losses.=20
&nbsp;The crankshaft is offset from the cylinder axes so that during the =

combustion stroke the force from the piston is transmitted to the =
crankshaft=20
through a straight rather than tilted connecting rod. &nbsp;The valves =
have=20
narrow stems and low force springs to reduce energy lost in operating =
the=20
valves.</P>
<P>I have devoted an entire topic to the Prius' <A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/InternalCom=
bustion.htm">Internal=20
Combustion Engine</A>.</P>
<H2><A name=3DMotorGenerators>Motor/Generators</A></H2>
<P>The Prius has two electric motor/generators. &nbsp;They are very =
similar in=20
construction, but different in size. &nbsp;Both are three-phase =
synchronous AC=20
permanent magnet motors. &nbsp;This sounds more complicated than it =
really is.=20
&nbsp;The rotor (the part that spins the shaft) is a just a big, =
powerful magnet=20
and has no electrical connections. &nbsp;The stator (the part that stays =
still=20
and is fixed to the rest of the car) contains three sets of windings. =
&nbsp;When=20
current is passed in one direction through one set of windings the rotor =
is=20
attracted to a particular position. &nbsp;By passing current =
sequentially=20
through each set of windings first on one direction and then in the =
other the=20
rotor can be made to move from one position to the next and therefore =
rotate.=20
&nbsp;This is a simplistic explanation, but captures the essence of this =
type of=20
motor. &nbsp;If the rotor is spun by an outside force, an electric =
current flows=20
in each set of windings in turn and can be used the charge the battery =
or power=20
the other motor. &nbsp;Thus, the same device can be a motor or a =
generator=20
depending on whether current is pushed into the windings to attract the =
rotor=20
magnet or drawn out and something else spins the rotor around. =
&nbsp;This is=20
even more simplistic, but will serve for the depth of these =
explanations.</P>
<P>Motor/generator 1 (MG1) is connected to the sun gear of the power =
split=20
device. &nbsp;It is the smaller of the two and is rated at a maximum =
power of=20
about 18 kW. &nbsp;Traditionally, its role is described as starting the =
ICE and=20
controlling the ICE spin rate by generating a variable amount of =
electrical=20
power. &nbsp;Motor/generator 2 (MG2) is connected to the ring gear of =
the power=20
split device and therefore to the reduction gears and hence the wheels.=20
&nbsp;Thus it is capable of directly powering the car. &nbsp;&nbsp;It is =
the=20
larger of the two and is rated at a maximum power of 33 kW. &nbsp;It is=20
sometimes described as the "traction motor" and its traditional role is =
to power=20
the car as a motor or recover braking energy as a generator. &nbsp;Both=20
motor/generators are water-cooled. &nbsp;My use of the word =
"traditional" here=20
prefigures discussion elsewhere on this Web site in which I suggest that =
the=20
roles of the two MGs are not so easily classified. &nbsp;This can be =
ignored for=20
our immediate purpose.</P>
<H2><A name=3DInverters>Inverters</A></H2>
<P>Since the motor/generators operate from three-phase alternating =
current and=20
the battery, like all batteries, produces direct current, some =
electronics is=20
needed to convert between the two. &nbsp;Each MG has an "inverter" which =

performs this function. &nbsp;The inverter knows the position of its =
MG's rotor=20
from a sensor on the shaft and switches current through the windings as =
required=20
to keep it spinning at the desired speed and with the desired torque. =
&nbsp;The=20
current in each winding is changed as each magnetic pole of the rotor =
moves past=20
the winding and on to the next. &nbsp;In addition, the inverter switches =
the=20
battery voltage onto the winding and then off again very fast to vary =
the=20
average size of the current and hence the torque. &nbsp;Using the=20
"self-inductance" of the motor windings (an electrical property which =
resists=20
current change), the inverter can actually pass a larger current through =
the=20
winding than is drawn from the battery. &nbsp;This only works when the =
winding=20
voltage is less than the battery voltage, hence energy is conserved.=20
&nbsp;However, since the size of the winding current determines the =
motor=20
torque, this current multiplication allows a very high torque to be =
achieved=20
when the motor is turning slowly. &nbsp;Up to about 7 m.p.h., MG2 is =
able to=20
apply a torque of 350 newton metres to the reduction gears. &nbsp;This =
is what=20
makes it possible to "launch" the car at an acceptable acceleration =
without the=20
use of step gears to multiply up the ICE torque.</P>
<H2><A name=3DBattery>Battery</A></H2>
<P>The Prius high-voltage battery consists of 228 cells of 1.2 volts =
each for a=20
total nominal voltage of 273.6 volts. &nbsp;The cells are arranged in 38 =
modules=20
of 6 cells each and the whole lot is assembled into a unit that is fixed =
behind=20
the rear seat. &nbsp;You can see where it is from the bump at the bottom =
rear of=20
the trunk. &nbsp;The maximum current of the battery is 80 amps discharge =
and 50=20
amps charge. &nbsp;This is remarkable, since each cell is similar in =
size to an=20
ordinary D-cell such as you would use in a large flashlight. &nbsp;In =
fact, the=20
Japanese version used an earlier generation of battery cells that really =
were=20
D-cells. &nbsp;The rated capacity of the battery is 6.5 ampere hours, =
however,=20
the car's electronics only allow 40% of this capacity to be used so as =
to=20
prolong battery life. &nbsp;The state of charge is allowed to vary only =
between=20
40% and 80% of the rated full charge. &nbsp;Multiplying up the battery =
voltage=20
and current capacity, its rated energy storage capacity is 6.4 MJ =
(megajoules)=20
and its usable capacity is 2.56 MJ. &nbsp;This is enough energy to =
accelerate=20
the car, driver and a passenger up to 65 m.p.h. (without help from the =
ICE) four=20
times. &nbsp;Alternatively, it is enough to raise the car through 600 =
vertical=20
feet. &nbsp;To produce this amount of energy, the ICE would consume =
about 230=20
millilitres&nbsp;of gasoline (a little less than half a pint). =
&nbsp;(These=20
figures are provided only to give you a feel for the battery energy =
storage=20
capacity. &nbsp;The car should not be run without fuel and, even if it =
is,=20
starting out with 80% of the rated full charge requires a long downhill =
run.=20
&nbsp;Most of the time, you only have about 1 MJ of usable energy in the =

battery.)</P>
<P>The Prius also has an auxiliary battery, which is not shown. =
&nbsp;This is a=20
12 volt, 28 ampere hour lead-acid battery that lives on the left side of =
the car=20
in the trunk. &nbsp;Its purpose is to supply power to the electronics =
and=20
accessories when the hybrid system is turned off and the high-voltage =
battery=20
main relay is off. &nbsp;When the hybrid system is running, the 12 volt =
supply=20
is from a DC-to-DC converter running from the high-voltage system. =
&nbsp;This=20
will also recharge the auxiliary battery&nbsp;if necessary.</P>
<H2><A name=3DPowerSplitDevice>Power Split Device</A></H2>
<P>The torque and power of the ICE and both motor/generators is combined =
and=20
distributed by a planetary gear set called by Toyota the "power split =
device"=20
(PSD). &nbsp;Although not terribly complicated in construction, this =
device is=20
tricky to understand and even trickier to see in the full context of the =

powertrain operation. &nbsp;Therefore, I devote several other topics to=20
discussion of the <A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/PowerSplitD=
evice.htm">Power=20
Split Device</A>. &nbsp;In brief, it allows the Prius to operate in both =
series-=20
and parallel-hybrid modes of operation at the same time and gain some of =
the=20
advantages of each mode. &nbsp;The ICE can drive the wheels directly=20
(mechanically) through the PSD. &nbsp;At the same time, a variable =
amount of=20
power can be drawn off from the ICE and turned into electricity. =
&nbsp;This can=20
charge the battery or be passed to one of the motor/generators to help =
drive the=20
wheels. &nbsp;The flexibility of this mechanical/electrical power split =
allows=20
the Prius to improve fuel economy and control emissions in a way that =
would not=20
be possible with a hard mechanical linkage between ICE and wheels, as in =
a=20
parallel-hybrid, but without the electrical energy loss of a =
series-hybrid.</P>
<P>The Prius is often said to have a CVT or Continuously Variable =
Transmission=20
and it is the PSD that is responsible for this. &nbsp;However, a =
conventional=20
CVT is just like a normal gearbox except that the gear ratio can be =
varied=20
continuously rather than in a small number of steps (first gear, second =
gear,=20
etc.). &nbsp;I explain in another topic why the Prius PSD is most unlike =
a=20
conventional <A=20
href=3D"http://www.ecrostech.com/prius/original/Understanding/Continuousl=
yVariableTransmission.htm">CVT</A>.</P>
<H2><A name=3DSilentChainReductionGears>Silent Chain and Reduction =
Gears</A></H2>
<P>The use of a chain drive is rather unusual, but all conventional cars =
have=20
reduction gears between the engine and the axles. &nbsp;Their purpose is =
to=20
allow the engine to spin faster than the wheels and also to multiply up =
the=20
torque produced by the engine to a larger torque at the wheels. =
&nbsp;The ratios=20
by which spin rate is reduced and torque is increased are necessarily =
the same=20
(neglecting friction) due to the law of conservation of energy. =
&nbsp;The ratio=20
is called the "final drive ratio". &nbsp;The final drive ratio of the =
2001 model=20
year US Prius is 3.905. &nbsp;This is achieved in the following way:=20
<UL type=3Ddisc>
  <LI>a 39-tooth sprocket on the PSD output shaft drives a 36-tooth =
sprocket on=20
  the first intermediate shaft via the silent chain=20
  <LI>a 30-tooth gear on the first intermediate shaft meshes with and =
drives a=20
  44-tooth gear on the second intermediate shaft=20
  <LI>a 26-tooth gear on the second intermediate shaft meshes with and =
drives a=20
  75-tooth gear on the input to the differential=20
  <LI>the mean of the differential output to the two axles is the same =
as the=20
  differential input (they are, in fact, identical except when =
cornering)=20
</LI></UL>
<P>If we perform the simple arithmetic 36/39 * 44/30 * 75/26, we get (to =
four=20
significant digits) 3.905.</P>
<P>My guess as to why a chain drive is used is that it avoids the axial =
thrust=20
(force along the shaft) which would be produced by the usual helical-cut =
gears=20
used in automotive transmissions. &nbsp;This could also be avoided by =
using spur=20
(straight-cut) gears, but these are noisy. &nbsp;Axial thrust is not a =
problem=20
on the intermediate shafts and can be accommodated by conical roller =
bearings.=20
&nbsp;However, it might not be so easy to deal with on the output shaft =
of the=20
PSD. &nbsp;Remember, this is just my guess and may be completely =
wrong.</P>
<H2><A name=3DDifferentialAxlesWheels>Differential, Axles and =
Wheel</A>s</H2>
<P>There is nothing very unusual about the differential, axles and =
wheels of the=20
Prius. &nbsp;As in a conventional car, the differential allows the =
inside and=20
outside wheels to turn at slightly different rates when the car is going =
round a=20
corner. &nbsp;The axles pass the torque from the differential to the =
wheel hubs=20
and include a joint to allow the wheels to move up and down with the =
suspension.=20
&nbsp;The wheels are a light-weight aluminum alloy and are fitted with =
low=20
rolling resistance high-pressure tires. &nbsp;The tires have a rolling =
radius of=20
about 11.1 inches, which means that for each revolution of the wheel, =
the car=20
travels 69 =BE&nbsp;inches.</P>
<H2><A name=3DWhatsMissing>What's Missing</A></H2>
<P>The Prius powertrain may look complicated, but we must take into =
account=20
several things that a conventional car needs that the Prius design has =
dispensed=20
with. &nbsp;These are:=20
<UL type=3Ddisc>
  <LI>there is no "step" gearbox, either manual or automatic - the Prius =
does=20
  not use step gears=20
  <LI>there is no clutch or torque converter - the wheels are always =
firmly=20
  connected by gears to the ICE and motor/generators=20
  <LI>there is no starter motor - the motor/generators start the ICE via =
the=20
  gears in the power split device=20
  <LI>there is no alternator - electrical power is generated by the=20
  motor/generators as needed </LI></UL>
<P>So, the complexity of the Prius is not actually much greater than a=20
conventional car. &nbsp;In addition, new and unfamiliar parts such as =
the=20
motor/generators and the PSD are actually likely to have higher =
reliability and=20
longer service life than some of the parts that have been =
eliminated.</P>
<P>
<HR>
<FONT size=3D2>Last edited June 26, 2002. &nbsp;All material <A=20
href=3D"http://www.ecrostech.com/prius/Copyright.htm#Copyright"=20
target=3D_blank>Copyright</A> =A9&nbsp;2001, 2002 Graham Davies. =
&nbsp;No <A=20
href=3D"http://www.ecrostech.com/prius/Copyright.htm#Liability"=20
target=3D_blank>liability</A> accepted.</FONT>
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