Maintenance Theory - How do Motors Work
from www.reliance.com
Posted 3-1-04
Introduction
It has been said that if the Ancient Romans, with their advanced
civilization and knowledge of the sciences, had been able
to develop a steam motor, the course of history would have
been
much different. The development of the electric motor in
modern times has indicated the truth in this theory. The
development
of the electric motor has given us the most efficient and
effective means to do work known to man. Because of the
electric motor
we have been able to greatly reduce the painstaking toil
of man's survival and have been able to build a civilization
which is
now reaching to the stars. The electric motor is a simple
device
in principle. It converts electric energy into mechanical
energy. Over the years, electric motors have changed substantially
in design, however the basic principles have remained the
same.
In this section of the Action Guide we will discuss these
basic
motor principles. We will discuss the phenomena of magnetism,
AC current and basic motor operation.
Magnetism
Now, before we discuss basic motor operation a short review
of magnetism might be helpful to many of us. We all know
that a permanent magnet will attract and hold metal objects
when the object is near or in contact with the magnet. The
permanent magnet is able to do this because of its inherent
magnetic force which is referred to as a "magnetic field".
In Figure 1 , the magnetic field of two permanent magnets
are represented by "lines of flux". These lines
of flux help us to visualize the magnetic field of any magnet
even though they only represent an invisible phenomena. The
number of lines of flux vary from one magnetic field to another.
The stronger the magnetic field, the greater the number of
lines of flux which are drawn to represent the magnetic field.
The lines of flux are drawn with a direction indicated since
we should visualize these lines and the magnetic field they
represent as having a distinct movement from a N-pole to
a S-pole as shown in Figure 1. Another but similar type of
magnetic field is produced around an electrical conductor
when an electric current is passed through the conductor
as shown in Figure 2-a. These lines of flux define the magnetic
field and are in the form of concentric circles around the
wire. Some of you may remember the old "Left Hand Rule" as
shown in Figure 2-b. The rule states that if you point the
thumb of your left hand in the direction of the current,
your fingers will point in the direction of the magnetic
field.

Figure 1 - The lines of flux of a magnetic field travel from
the N-pole to the S-pole.

Figure 2 - The flow of electrical current in a conductor sets
up concentric lines of magnetic flux around the conductor.

Figure 3 - The magnetic lines around a current carrying conductor
leave from the N-pole and re-enter at the S-pole.
When the wire is shaped into a coil as shown in Figure 3,
all the individual flux lines produced by each section of wire
join together to form one large magnetic field around the total
coil. As with the permanent magnet, these flux lines leave
the north of the coil and re-enter the coil at its south pole.
The magnetic field of a wire coil is much greater and more
localized than the magnetic field around the plain conductor
before being formed into a coil. This magnetic field around
the coil can be strengthened even more by placing a core of
iron or similar metal in the center of the core. The metal
core presents less resistance to the lines of flux than the
air, thereby causing the field strength to increase. (This
is exactly how a stator coil is made; a coil of wire with a
steel core.) The advantage of a magnetic field which is produced
by a current carrying coil of wire is that when the current
is reversed in direction the poles of the magnetic field will
switch positions since the lines of flux have changed direction.
This phenomenon is illustrated in Figure 4. Without this magnetic
phenomenon existing, the AC motor as we know it today would
not exist.

Figure 4 - The poles of an electro-magnetic coil change when
the direction of current flow changes.
Magnetic Propulsion Within A Motor
The basic principle of all motors can easily be shown using
two electromagnets and a permanent magnet. Current is passed
through coil no. 1 in such a direction that a north pole is
established and through coil no. 2 in such a direction that
a south pole is established. A permanent magnet with a north
and south pole is the moving part of this simple motor. In
Figure 5-a the north pole of the permanent magnet is opposite
the north pole of the electromagnet. Similarly, the south poles
are opposite each other. Like magnetic poles repel each other,
causing the movable permanent magnet to begin to turn. After
it turns part way around, the force of attraction between the
unlike poles becomes strong enough to keep the permanent magnet
rotating. The rotating magnet continues to turn until the unlike
poles are lined up. At this point the rotor would normally
stop because of the attraction between the unlike poles. (Figure
5-b)

Figure 5
If, however, the direction of currents in the electromagnetic
coils was suddenly reversed, thereby reversing the polarity
of the two coils, then the poles would again be opposites and
repel each other. (Figure 5-c). The movable permanent magnet
would then continue to rotate. If the current direction in
the electromagnetic coils was changed every time the magnet
turned 180 degrees or halfway around,then the magnet would
continue to rotate. This simple device is a motor in its simplest
form. An actual motor is more complex than the simple device
shown above, but the principle is the same.
AC Current
How is the current reversed in the coil so as to change the
coils polarity, you ask. Well, as you probably know, the
difference between DC and AC is that with DC the current
flows in only one direction while with AC the direction of
current flow changes periodically. In the case of common
AC that is used throughout most of the United States, the
current flow changes direction 120 times every second. This
current is referred to as "60 cycle AC" or "60
Hertz AC" in honor of Mr. Hertz who first conceived
the AC current concept. Another characteristic of current
flow is that it can vary in quantity. We can have a 5 amp,
10 amp or 100 amp flow for instance. With pure DC, this means
that the current flow is actually 5,10, or 100 amps on a
continuous basis. We can visualize this on a simple time-current
graph by a straight line as shown in Figure 6.

Figure 6 - Visualization of DC
But with AC it is different. As you can well imagine, it would
be rather difficult for the current to be flowing at say 100
amps in a positive direction one moment and then at the next
moment be flowing at an equal intensity in the negative direction.
Instead, as the current is getting ready to change directions,
it first tapers off until it reaches zero flow and then gradually
builds up in the other direction. See Figure 7. Note that the
maximum current flow (the peaks of the line) in each direction
is more than the specified value (100 amps in this case). Therefore,
the specified value is given as an average. It is actually
called a "root mean square" value, but don't worry
about remembering this because it is of no importance to us
at this time. What is important in our study of motors, is
to realize that the strength of the magnetic field produced
by an AC electro-magnetic coil increases and decreases with
the increase and decrease of this alternating current flow.

Figure 7 - Visualization of AC.
Basic AC Motor Operation
An AC motor has two basic electrical parts: a "stator" and
a "rotor" as shown in Figure 8. The stator is in
the stationary electrical component. It consists of a group
of individual electro-magnets arranged in such a way that they
form a hollow cylinder, with one pole of each magnet facing
toward the center of the group. The term, "stator" is
derived from the word stationary. The stator then is the stationary
part of the motor. The rotor is the rotating electrical component.
It also consists of a group of electro-magnets arranged around
a cylinder, with the poles facing toward the stator poles.
The rotor, obviously, is located inside the stator and is mounted
on the motor's shaft. The term "rotor" is derived
from the word rotating. The rotor then is the rotating part
of the motor. The objective of these motor components is to
make the rotor rotate which in turn will rotate the motor shaft.
This rotation will occur because of the previously discussed
magnetic phenomenon that unlike magnetic poles attract each
other and like poles repel. If we progressively change the
polarity of the stator poles in such a way that their combined
magnetic field rotates, then the rotor will follow and rotate
with the magnetic field of the stator.

Figure 8 - Basic electrical components of an AC motor.
This "rotating magnetic fields of the stator can be better
understood by examining Figure 9. As shown, the stator has
six magnetic poles and the rotor has two poles. At time 1,
stator poles A-1 and C-2 are north poles and the opposite poles,
A-2 and C-1, are south poles. The S-pole of the rotor is attracted
by the two N-poles of the stator and the N-pole of the rotor
is attracted by the two south poles of the stator. At time
2, the polarity of the stator poles is changed so that now
C-2 and B-1 and N-poles and C-1 and B-2 are S-poles. The rotor
then is forced to rotate 60 degrees to line up with the stator
poles as shown. At time 3, B-1 and A-2 are N. At time 4, A-2
and C-1 are N. As each change is made, the poles of the rotor
are attracted by the opposite poles on the stator. Thus, as
the magnetic field of the stator rotates, the rotor is forced
to rotate with it.

Figure 9 - The rotating magnetic field of an AC motor.
One way to produce a rotating magnetic field in the stator
of an AC motor is to use a three-phase power supply for the
stator coils. What, you may ask, is three-phase power? The
answer to that question can be better understood if we first
examine single-phase power. Figure 7 is the visualization of
single-phase power. The associated AC generator is producing
just one flow of electrical current whose direction and intensity
varies as indicated by the single solid line on the graph.
From time 0 to time 3, current is flowing in the conductor
in the positive direction. From time 3 to time 6, current is
flowing in the negative. At any one time, the current is only
flowing in one direction. But some generators produce three
separate current flows (phases) all superimposed on the same
circuit. This is referred to as three-phase power. At any one
instant, however, the direction and intensity of each separate
current flow are not the same as the other phases. This is
illustrated in Figure 10. The three separate phases (current
flows) are labeled A, B and C. At time 1, phase A is at zero
amps, phase B is near its maximum amperage and flowing in the
positive direction, and phase C is near to its maximum amperage
but flowing in the negative direction. At time 2, the amperage
of phase A is increasing and flow is positive, the amperage
of phase B is decreasing and its flow is still negative, and
phase C has dropped to zero amps. A complete cycle (from zero
to maximum in one direction, to zero and to maximum in the
other direction, and back to zero) takes one complete revolution
of the generator. Therefore, a complete cycle, is said to have
360 electrical degrees. In examining Figure 10, we see that
each phase is displaced 120 degrees from the other two phases.
Therefore, we say they are 120 degrees out of phase.

Figure 10 - The pattern of the separate phases of three-phase
power.
To produce a rotating magnetic field in the stator of a three-phase
AC motor, all that needs to be done is wind the stator coils
properly and connect the power supply leads correctly. The
connection for a 6 pole stator is shown in Figure 11. Each
phase of the three-phase power supply is connected to opposite
poles and the associated coils are wound in the same direction.
As you will recall from Figure 4, the polarity of the poles
of an electro-magnet are determined by the direction of the
current flow through the coil. Therefore, if two opposite stator
electro-magnets are wound in the same direction, the polarity
of the facing poles must be opposite. Therefore, when pole
A1 is N, pole A2 is S. When pole B1 is N, B2 is S and so forth.

Figure 11 - Method of connecting three-phase power to a six-pole
stator.
Figure 12 shows how the rotating magnetic field is produced.
At time1, the current flow in the phase "A" poles
is positive and pole A-1 is N. The current flow in the phase "C" poles
is negative, making C-2 a N-pole and C-1 is S. There is no
current flow in phase "B", so these poles are not
magnetized. At time 2, the phases have shifted 60 degrees,
making poles C-2 and B-1 both N and C-1 and B-2 both S. Thus,
as the phases shift their current flow, the resultant N and
S poles move clockwise around the stator, producing a rotating
magnetic field. The rotor acts like a bar magnet, being pulled
along by the rotating magnetic field.

Figure 12 - How three-phase power produces a rotating magnetic
field.
Up to this point not much has been said about the rotor. In
the previous examples, it has been assumed the rotor poles
were wound with coils, just as the stator poles, and supplied
with DC to create fixed polarity poles. This, by the way, is
exactly how a synchronous AC motor works. However, most AC
motors being used today are not synchronous motors. Instead,
so-called "induction" motors are the workhorses of
industry. So how is an induction motor different? The big difference
is the manner in which current is supplied to the rotor. This
is no external power supply. As you might imagine from the
motor's name, an induction technique is used instead. Induction
is another characteristic of magnetism. It is a natural phenomena
which occurs when a conductor (aluminum bars in the case of
a rotor, see Figure 13) is moved through an existing magnetic
field or when a magnetic field is moved past a conductor. In
either case, the relative motion of the two causes an electric
current to flow in the conductor. This is referred to as "induced" current
flow. In other words, in an induction motor the current flow
in the rotor is not caused by any direct connection of the
conductors to a voltage source, but rather by the influence
of the rotor conductors cutting across the lines of flux produced
by the stator magnetic fields. The induced current which is
produced in the rotor results in a magnetic field around the
rotor conductors as shown in Figure 14. This magnetic field
around each rotor conductor will cause each rotor conductor
to act like the permanent magnet in the Figure 9 example. As
the magnetic field of the stator rotates, due to the effect
of the three-phase AC power supply, the induced magnetic field
of the rotor will be attracted and will follow the rotation.
The rotor is connected to the motor shaft, so the shaft will
rotate and drive the connection load. That's how a motor works!
Simple, was it not?

Figure 13 - Construction of an AC induction motor's rotor.

Figure 14 - How voltage is induced in the rotor, resulting
in current flow in the rotor conductors.
DC Motor Theory
Preface
The intent of this paper is to provide one with an understanding
of DC Motors in order that they can be applied with confidence.
This paper contains basic information and specific information
that applies to Reliance Medium HP and Large HP DC Motors.
Due to the nature of Rockwell Systems business, emphasis has
been placed on the Large DC motor product line.
Section 1: Dynamo Development
The first generators and motors were called dynamos or dynamoelertric
machines. Dynamo is from the Greek word dynamis which means
power. Webster defines dynamoelectric as "relating to
the conversion of mechanical energy into electrical energy
or vice versa". The word motor is from the Latin word
motus which means one that imparts motion or prime mover.
The dynamo was the result of the efforts of several people,
in different countries, in the mid-nineteenth century, to
make electricity work for them.
Definitions
| Dynamo: |
From the Greek word dynamis, which means power |
| Dynamoelectric: |
Relating to the conversion by induction of mechanical
energy into electrical energy or vice versa |
| Dynamoelectric machine: |
A dynamo or generator |
| Motor: |
From the Latin word motus, one that imparts motion, prime
mover. A device that changes electrical energy into mechanical
energy. |
| Generator: |
A device that changes mechanical energy into electrical
energy. Although the terms AC and DC generator are in common
usage, a generator is normally considered to be a device
that provides DC current. |
| Alternator: |
A device that changes mechanical energy into an alternating
current electrical energy, an AC generator. |
Landmarks Of Electric Motor Development
1820 The discovery of electromagnetism Hans Christian Oersted,
Danish
1827 The statement of the law of electric conduction, Ohm's
law George S. Ohm, German
1830 The discovery of electromagnetic induction Joseph Henry,
American
1831 The discovery of electromagnetic induction Michael Faraday,
English
The first practical dynamo, about 1867
Section 2: Electric Motor And Generator Basics
Electrodynamic Principles
Faraday's Law
In order that current can be obtained from an electric circuit,
an electromotive force (voltage) must be established and
maintained between the two ends of the circuit. This electromotive
force
may be established in several ways, one of which is by
means of an electromagnetic generator.
Michael Faraday discovered that an electric potential can
be established between the ends of a conductor in the following
three ways:
- By a conductor moving or cutting across a stationary magnetic
field. (DC Generator)
- By a moving magnetic field cutting across a stationary
conductor. (AC Generator)
- By a change in the number of magnetic lines enclosed
by a stationary loop or coil. (Transformer)
Faraday's law states that, "the EMF (electromotive force)
induced between the ends of a loop or coil is proportional
to the rate of change of magnetic flux enclosed by the coil;
or the EMF induced between the ends of a bar conductor is proportional
to the time rate at which magnetic flux is cut by the conductor."
This law emphasizes rate of change or rate or flux cutting
rather than density or extent of magnetic field.
Lenz's Law
Lenz's Law states that, "A change in the magnetic flux
passing through or linking with, a loop or coil causes EMF
to be induced in a direction to oppose any change in circuit
conditions, this opposition being produced magnetically when
current flows in response to the induced EMF."
Whenever there is a change in current in a magnetizing coil,
which works to change the flux in the coil, a voltage is induced
which tends to prevent the change. Thus, if we attempt to diminish
the current flowing in a magnetizing coil, a voltage will be
developed that will tend to keep the current unchanged. Likewise,
if we attempt to establish a current in a magnetizing coil,
a voltage will be developed that will tend to keep the current
from increasing.
Generator Basic Principles
Energy Conversion
To produce voltage, it is necessary to move a conductor through
a magnetic field as stated above. Mechanical energy is required
to provide motion to this conductor. With the field energy
remaining constant, the conductor is changing mechanical energy
into electrical energy.
Voltage Generation
There is a definite relationship between the direction of the
magnetic flux, the direction of motion of the conductor and
the direction of the induced EMF. Figure 1 shows the motion
of the conductor perpendicular to the magnetic field. The
voltage and current output are perpendicular to both the
motion of the conductor and the magnetic field.
 Figure 1.
Voltage Generation
To illustrate this with Fleming's right hand rule, the thumb
and first two fingers of the right hand are extended at right
angles to one another, the thumb will indicate the direction
of motion of the conductor, the forefinger will indicate the
direction of the magnetic field, and the middle finger will
indicate the direction of voltage or current.
Applying this rule, one can see that the current will reverse
if the motion of the conductor changes from down to up. This
is true even though the magnetic field does not change position.
Therefore, the rotating coil in Figure 2 will produce a voltage
which is continually changing direction
.  Figure 2.
Revolving Coil in a Magnetic Field
Voltage Induced in Conductor Moving Through a Magnetic Field
Revolving Coil in a Magnetic Field
The coil in position AB, in figure 2, encloses the maximum
amount of flux. The flux decreases as the coil moves toward
position CD and becomes zero at CD, since the plane of the
coil is parallel to the magnetic field. Then the flux increases
in the opposite direction, reaching a negative maximum at BA
and diminishing again to zero at DC. The flux reverses and
increases again in the original direction to reach a maximum
at AB.
Although the flux is maximum at positions AB and BA and zero
at positions CD and DC, the induced EMF will be maximum at
positions CD and DC and zero at positions AB and BA. This is
true because the EMF depends upon the rate of change of flux
or rate of cutting flux lines and not upon the quantity enclosed.
If the coil in Figure 2 were rotated at a constant speed in
a uniform magnetic field, a sine wave of voltage would be obtained.
This is shown in Figure 3 where both the amount of flux enclosed
and the EMF induced are plotted against time.
 Figure 3.
Voltage Sine Wave Produced by rotation of a coil at constant
speed in a uniform magnetic field.
Value of Generated Voltage
The EMF at any instant of time is proportional to the number
of turns in the coil times rate of change of flux. The C.G.S.
(centimeter gram second) unit of EMF known as the abvolt
is defined as that value induced, in a coil of one turn,
when the flux linking with the coil is changing at the rate
of one line or Maxwell per second; or as that value induced
when magnetic flux is being cut by the conductor at the rate
of one line per second. A volt is equal to 108 abvolts or
an abvolt is equal to 10-8 volts. Therefore, the instantaneous
value of voltage is expressed as:
e = N x (d / dt) x 10-8
where:
e = voltage
N = the number of turns
d / dt = the rate of change of flux
This equation can be further developed to obtain the voltage
for movement of a conductor at constant velocity through a
uniform magnetic field:
E = N B v sin x 10-8
where:
E = voltage
N = number of turns
B = flux density in lines per square inch
= length of the conductor in inches
v = velocity in inches per second
= the angle between the conductor and flux field
If the conductor moves directly across the field at right
angles to it, then = 90° and sin = 1. The equation then
becomes:
E = N B v x 10-8
It should be noted that this equation is a special form of
the original equation and is not applicable in all cases.
MOTOR BASIC PRINCIPLES
Energy Conversion
As stated above, mechanical energy is changed into electrical
energy by movement of conductor through a magnetic field. The
converse of this is also true. If electrical energy is supplied
to a conductor lying normal to a magnetic field, resulting
in current flow in the conductor, a mechanical force and thus
mechanical energy will be produced.
Producing Mechanical Force
As in the generator, the motor has a definite relationship
between the direction of the magnetic flux, the direction
of motion of the conductor or force, and the direction of
the applied voltage or current.
Since the motor is the reverse of the generator, Fleming's
left hand rule can be used. If the thumb and first two fingers
of the left hand are extended at right angles to one another,
the thumb will indicate the direction of motion, the forefinger
will indicate the direction of the magnetic field, and the
middle finger will indicate the direction of current. In either
the motor or generator, if the directions of any two factors
are known, the third can be easily determined.
Value of Mechanical Force
The force exerted upon a current carrying conductor is dependent
upon the density of the magnetic field, the length of conductor,
and the value of current flowing in the conductor. Assuming
that the conductor is located at right angles to the magnetic
field, the force developed can be expressed as follows:
F = (B I) / 10
where:
F = force in dynes
B = flux density in lines per square centimeter
= length of the conductor in centimeters
I = current in amperes.
At the same time torque is being produced, the conductors
are moving in a magnetic field and generating a voltage. This
voltage is in opposition to the voltage that causes current
flow through the conductor and is referred to as a countervoltage
or back EMF. The value of current flowing through the armature
is dependent upon the difference between the applied voltage
and the countervoltage.
Sample Calculations
Generator
Given:
N = 60 turns
B = 40,000 lines per square inch
= 3.0 inches
v = 600 inches per second
Find:
E = voltage
E = 60 x 40,000 x 3 x 600 x 10-8 = 43.2 volts
Motor
Given:
B = 6,000 lines per square centimeter
= 10 Centimeters
I = 50 amps
Find:
F = force
F = (6,000 x 10 x 50) / 10 = 300,000 dynes
Newtons = Pounds x 4.44823
Dynes = Newtons x 100,000
DC Machines, Principles Of Operation
Generator In a generator, moving a conductor through a stationary magnetic
field generates voltage. If a coil is rotated through a magnetic
field as shown in Figure 4, an alternating voltage will be
produced. To make this voltage available to a stationary external
circuit, two slip rings and brushes must be provided. For the
external circuit to produce DC voltage, it is necessary to
reverse the polarity of the external leads at the same time
the voltage in the coil is reversed. This is accomplished by
segmenting a slip ring to form what is called a commutator.
An elementary two segment commutator is illustrated in Figure
5. This single coil, two piece commutator will yield an unidirectional
but pulsating voltage as shown in Figure 6. However, when a
large number of commutator segments or bars is used, the resulting
voltage will be more uniform as shown in Figure 7.
 Figure 4.
Brushes and slip rings provide AC voltage
Figure 5.
Brushes and Commutator provides DC voltage

Figure 6.
Unidirectional, Pulsating Voltage

Figure 7.
Uniform DC Voltage
As stated above, the generated voltage in a single conductor
is:
E = N B v x 10-8
where:
B = flux density in lines per square inch
= length of the conductor in inches
v = velocity in inches per second
This equation can be developed to the following equation for
DC machines:
E = (Z / paths) x x poles x (rpm / 60) x 10-8
where:
Z = total number of conductors
= flux per pole in lines
This equation represents the average voltage. For a given
machine, it can be reduced to:
E = K1 S
where:
= flux per pole
S = speed in rpm
K1 = all other factors
Motor
As stated previously, if current is supplied to a conductor
in a magnetic field, a force will be produced. The force developed
in a single conductor is:
F = (B I) / 10
where:
F = force in dynes
B = flux density in lines per square centimeter
= length of the conductor in centimeters
I = current in amperes
This equation can be developed to the following for DC motors:
T = 11.73 x (Z / paths) x x poles x IA x 10-10
where:
T = torque in ft-lb
Z = total number of conductors
= flux per pole in lines
I = current in amperes
For a given machine, this can be reduced to:
T = K2 IA
where:
= flux per pole in lines
IA = current in amperes
K2 = all other factors
K2 is not the same as the K1 for voltage. The above torque
is not the output torque of the shaft, but rather the total
torque developed by the armature. Part of this total torque
is needed to overcome the inertia of the armature itself.
The horsepower output of any motor can be expressed as:
HP = T x N / C
where:
T = output torque in ft-lb
N = speed in rpm
C = the constant 5252
DC General Construction
A typical DC generator or motor usually consists of: An armature
core, an air gap, poles, and a yoke which form the magnetic
circuit; an armature winding, a field winding, brushes and
a commutator which form the electric circuit; and a frame,
end bells, bearings, brush supports and a shaft which provide
the mechanical support. See figure 8.

Figure 8.
Four Pole DC Motor
Armature Core or Stack
The armature stack is made up thin magnetic steel laminations
stamped from sheet steel with a blanking die. Slots are punched
in the lamination with a slot die. Sometimes these two operations
are done as one. The laminations are welded, riveted, bolted
or bonded together.
Armature Winding
The armature winding is the winding, which fits in the armature
slots and is eventually connected to the commutator. It either
generates or receives the voltage depending on whether the
unit is a generator or motor. The armature winding usually
consists of copper wire, either round or rectangular and
is insulated from the armature stack.
Field Poles
The pole cores can be made from solid steel castings or from
laminations. At the air gap, the pole usually fans out into
what is known as a pole head or pole shoe. This is done to
reduce the reluctance of the air gap. Normally the field
coils are formed and placed on the pole cores and then the
whole assembly is mounted to the yoke.
Field Coils
The field coils are those windings, which are located on the
poles and set up the magnetic fields in the machine. They
also usually consist of copper wire are insulated from the
poles. The field coils may be either shunt windings (in parallel
with the armature winding) or series windings (in series
with the armature winding) or a combination of both.
Yoke
The yoke is a circular steel ring, which supports the field,
poles mechanically and provides the necessary magnetic path
between the pole. The yoke can be solid or laminated. In
many DC machines, the yoke also serves as the frame.
Commutator
The commutator is the mechanical rectifier, which changes the
AC voltage of the rotating conductors to DC voltage. It consists
of a number of segments normally equal to the number of slots.
The segments or commutator bars are made of silver bearing
copper and are separated from each other by mica insulation.
Brushes and Brush Holders
Brushes conduct the current from the commutator to the external
circuit. There are many types of brushes. A brush holder
is usually a metal box that is rectangular in shape. The
brush holder has a spring that holds the brush in contact
with the commutator. Each brush usually has a flexible copper
shunt or pigtail, which extends to the lead wires. Often,
the entire brush assembly is insulated from the frame and
is made movable as a unit about the commutator to allow for
adjustment.
Interpoles
Interpoles are similar to the main field poles and located
on the yoke between the main field poles. They have windings
in series with the armature winding. Interpoles have the
function of reducing the armature reaction effect in the
commutating zone. They eliminate the need to shift the brush
assembly.
Frame, End Bells, Shaft, and Bearings
The frame and end bells are usually steel, aluminum or magnesium
castings used to enclose and support the basic machine parts.
The armature is mounted on a steel shaft, which is supported
between two bearings. The bearings are either sleeve, ball
or roller type. They are normally lubricated by grease or
oil.
Back End, Front End
The load end of the motor is the Back End. The opposite load
end, most often the commutator end, is the Front End of the
motor.
Armature Windings
Gramme Ring Winding
The old Gramme Ring type winding, now obsolete, is shown in
Figure 9 and its equivalent circuit in Figure 10. It can be
seen that there are an equal number of voltage-generating conductors
on each side of the armature and the conductor voltages are
additive from bottom to top on each side. There are two paths
between the positive and negative brushes and the voltage per
path is the generated voltage of the machine. Each path provides
half of the current output.
 Figure 9.
Two Pole Gramme Ring Winding
Figure 10.
Equivalent Circuit, Two Pole Gramme Ring Winding
Drum Winding
The Drum type winding is made of coils, one of which is illustrated
in Figure 11. The straight portions of the coil are the parts
rotating through the magnetic field in which the voltage
is induced. Therefore, each single coil has two conductors.
This has the advantage over the Gramme Ring winding where
only one side of each coil is used as an active conductor.
There are two classes of drum windings depending upon how
the coils are connected to the commutator.

Figure 11.
Drum Type Winding Coil
Lap Winding
When the end connections of the coils are brought to adjacent
bars as shown in Figure 12, a lap or parallel winding is
formed. In this type winding, there are as many paths through
the armature as there are poles on the machine. Therefore,
to obtain full use of this type winding, there must be as
many brushes as there are poles, alternate brushes being
positive and negative. Any winding can be illustrated in
one of two forms, the circular form or the development form.
A simplex lap winding is shown in Figure 13 (circular form)
and Figure 14 (development form.) In this particular circular
form, the flux cutting portions of the conductors are shown
as straight lines radiating from the center and are numbered
for convenience in connecting them to the commutator which
is in the center of the diagram. The outermost connecting
lines represent the end connections on the back of the armature
and the inner connecting lines represent the connections
on the front or commutator end of the armature. The development
form of winding represents the armature as if it were split
open and rolled out flat. It is somewhat simpler to understand
but the continuity of the winding is broken. The lap winding
is best suited for low voltage, high current ratings because
of the number of parallel paths.
 Figure 12.
Lap Winding connected to commutator bars
Figure 13.
Simplex Lap Winding, Circular Form
Figure 14.
Simplex Lap Winding, Development Form
Wave Winding
When the end connections of the coils are spread apart as shown
in Figure 15 a wave or series winding is formed. In a wave
winding there are only two paths regardless of the number
of poles. Therefore, this type winding requires only two
brushes but can use as many brushes as poles. The simplex
wave winding in Figure 16 (circular) and Figure 17 (development)
shows that the connections to the armature do not lap back
toward the coil but progress forward. The coil voltages are
cumulative but it is necessary to travel several times around
the armature and to traverse half the total winding in order
to trace the path between the positive and negative brush.
The wave winding is best suited for high voltage low current
ratings since it has only two paths.
 Figure 15.
Wave Winding connected to commutator bars
Figure 16.
Simplex Wave Winding, Circular Form

Figure 17.
Simplex Wave Winding, Development Form
Slots and Coils
The number and size of slots depend upon the generator or motor
requirements. The slot has to be large enough to hold the
correct number of conductors but at the same time, the tooth
has to be large enough to pass the necessary magnetic flux.
Normally, in a simple winding, there are as many coils as
there are slots. This means that each slot contains two coil
sides, one side of each coil being at the top of a slot and
the other at the bottom of a slot. Each coil may consist
of one or more turns depending on the applied or generated
voltage of the unit. A typical arrangement of coil sides
and slots is shown in Figure 18. Solid lines represent the
front end connections to the commutator and dotted lines
represent the back end connections.
Slot Pitch
Slot pitch refers to the number of slots spanned by each coil.
For example, in Figure 18, the top of coil in slot 1 has
its bottom in slot 4, therefore, the slot pitch is 1-4 or
3. Since the top of the coil is directly under the north
pole and the bottom is directly under the south pole, the
winding is known as a full pitch winding. In many cases,
for various reasons, the pitch is reduced to less than full
pitch. For example, if the coils in Figure 6 spanned 2 slots
instead of three, the winding would become a two-thirds pitch
winding.
 Figure 18.
Coil Sides in Armature Slots
Field Windings
The field windings provide the excitation necessary to set
up the magnetic fields in the machine. There are various
types of field windings that can be used in the generator
or motor circuit. In addition to the following field winding
types, permanent magnet fields are used on some smaller DC
products. See Figure 19 for winding types.

Shunt Wound - DC Operation
Typical Speed - Torque Curve Shunt wound motors, with the armature shunted across the field,
offer relatively flat speed-torque characteristics. Combined
with inherently controlled no-load speed, this provides good
speed regulation over wide load ranges. While the starting
torque is comparatively lower than the other DC winding types,
shunt wound motors offer simplified control for reversing service.
--------------------------------------------------------------------------------
Compound Wound - DC Operation
Typical Speed - Torque Curve
Compound wound (stabilized shunt) motors utilize a field winding
in series with the armature in addition to the shunt field
to obtain a compromise in performance between a series and
shunt type motor. This type offers a combination of good starting
torque and speed stability. Standard compounding is about 12%.
Heavier compounding of up to 40 to 50% can be supplied for
special high starting torque applications, such as hoists and
cranes.
--------------------------------------------------------------------------------
Series Wound - DC Operation
Typical Speed - Torque Curve
Series wound motors have the armature connected in series
with the field. While it offers very high starting torque and
good torque output per ampere, the series motor has poor speed
regulation. Speed of DC series motors is generally limited
to 5000 rpm and below. Series motors should be avoided in applications
where they are likely to lose there load because of their tendency
to "run away" under no-load conditions. These are
generally used on crane and hoist applications.
--------------------------------------------------------------------------------
Permanent Magnet - DC Operation
Typical Speed - Torque Curve
Permanent magnet motors have no wound field and a conventional
wound armature with commutator and brushes. This motor has
excellent starting torques, with speed regulation not as good
as compound motors. However, the speed regulation can be improved
with various designs, with corresponding lower rated torques
for a given frame. Because of permanent field, motor losses
are less with better operating efficiencies. These motors can
be dynamically braked and reversed at some low armature voltage
(10%) but should not be plug reversed with full armature voltage.
Reversing current can be no higher than the locked armature
current.
Figure 19.
Field Windings
Separately Excited Winding
When the field is connected to an external power source, it
is a separately excited field.
Straight Shunt Winding
This winding is connected in parallel with the armature. Shunt
windings usually consists of a large number of turns of small
size wire. This is a good winding for reversing applications
since it provides the same amount of torque in both directions.
The torque/ current curve is non-linear above full load.
Shunt wound motors often have a rising speed characteristic
with increased load.
Series Winding
This winding is connected in series with the armature. A series
winding usually consists of a small number of turns of large
size wire. With this winding, the motor can produce high
starting and overload torque. This design is not used for
applications with light loads or no load conditions.
Compound Winding
This winding consists of a shunt winding and a series winding.
This is also known as compound excitation. The series winding
can be designed as a starting series only or as a start and
run series.
Stabilized Shunt Winding
Like the compound winding, this winding consists of a shunt
winding and a series winding. The series or stabilizing winding
has a fewer number of turns than the series winding in a
compound wound machine. A stabilizing winding is used to
assures a speed droop with overload. It also adds to the
torque in one direction of operation and subtracts from torque
in the reverse direction of operation and in regeneration.
Shunt Compensated Winding
Shunt compensated motors have a shunt winding and a pole face
series winding made up of large conductors placed in slots
in the face of the main field poles. The direction of current
in the compensating windings is the opposite of the current
in the armature conductors passing under the poles. The flux
produced by the compensating windings neutralizes the flux
of the armature conductors passing under the poles so that
distortion of air gap flux is minimized. Shunt compensated
motors maintain constant or set speed well at all loads,
no load through overload. Unlike the stabilized shunt winding,
the pole face winding adds to torque in both the forward
and reverse direction of rotation. Shunt compensated windings,
due to cost and difficulty of construction, are provided
on large motors only, usually 840 frames and larger.
Commutation
The maximum voltage from an armature winding can be obtained
when the brushes are in contact with those conductors, which
are midway between the poles. This will result in the greatest
possible number of conductors cutting the magnetic lines
in one direction between a positive and negative brush. This
brush position is known as the no load neutral position of
the brushes. The current in a given armature coil reverses
in direction as the coil sides move from one pole to another
of opposite polarity, whereas the function of the commutator
is to keep the current unidirectional. This reversal of current
is known as commutation. The commutator acts as a switch
to keep the current flowing in one direction. However, the
fast rate of change in direction of the current in any given
coil induces an appreciable voltage in that coil which tends
to keep the current flowing in the original direction. Therefore,
the current reversal is delayed causing an accelerated rate
of change near the end of the commutation period. This results
in an arc if the reversal is not completed before the brush
breaks contact with the coil involved. Any arcing is detrimental
to the operation of the machine and must be counteracted.
Armature Reaction
Since the armature conductors carry current they set up a magnetic
field which distorts or opposes the main field. This is called
armature reaction and is a function of the amount of load
present. Figure 21 shows the MMF and flux wave shapes due
to the armature reaction only; and Figure 22 shows the combined
effect of both. It can be seen that armature reaction causes
the flux to shift, thus tending to saturate one pole tip.
If this effect is appreciable, it can be detrimental to the
satisfactory performance of the machine. If severe enough,
it may result in a flashover, which is the progressive arcing
over successive bars until the arc extends from positive
to negative brush, thus short circuiting the machine terminals.

Figure 20.
MMF and Flux Wave Shape due to Main Field only

Figure 21.
MMF and Flux Wave Shape due to Armature Reaction only

Figure 22.
Flux Wave Shape, combined effect
Brush Shifting
One method of reducing the arcing due to non-linear commutation
is to shift the brushes away from the geometrical neutral
position. Then commutation will occur when the applicable
coil is under the influence of a weak magnetic field that
will generate a voltage in the coil, which opposes the induced
voltage due to current change. Therefore, this new voltage
will assist rather than hinder the current reversal. In a
generator, it is necessary to shift the brushes forward in
the direction of rotation for good commutation. This is true
because the current flow through the conductors is in the
same direction as the voltage and, it commutation is delayed
until the coil sides are under the next pole, it will be
assisted by the current reversing voltage. In a motor, it
is necessary to shift the brushes against the direction of
rotation because current flow is in opposition to the induced
voltage. The amount of shift necessary depends on the load
so a given shift will not be satisfactory for all loads.
One effect of shifting brushes is that a demagnetization
component of armature reaction is introduced. In other words,
when the brushes are shifted, the armature reaction will
not only distort the main field flux but it will also directly
oppose the main field. This will result in a reduction of
the field flux. Another effect is that if the brushes are
shifted far enough, it is possible to reduce the number of
effective turns because there will be voltages in opposition
to each other between two brushes.
In generators the demagnetization component of armature reaction
would be detrimental because there will be a decrease in generated
voltage with increase in load. However, in a motor, the effect
would be beneficial because the speed would tend to remain
constant.
Interpoles
Another method to combat the induced voltage caused by current
reversal is the use of interpoles. The interpoles are located
at the geometric neutral points midway between the main poles
and provide reversing magnetic field of proper strength and
polarity. They eliminate the need for brush shifting and,
because of this, the demagnetization effect of armature reaction
is eliminated. The interpole must have sufficient strength
to overcome the armature reaction and provide a reversing
field, therefore, it is connected in series with the armature
winding. When the armature current is increased in the same
proportion. In a generator, the interpole must have the same
polarity as the next pole in the direction of rotation while
in a motor the interpole must have the same polarity as the
last pole.
Generator Characteristics
No Load Saturation Curve
A typical no load saturation curve is shown in Figure 23. This
is similar to the magnetization curve mentioned previously
except that it represents the entire magnetic circuit of a
machine rather than one particular magnetic material. Also,
it has generator output voltage plotted against field current
rather than flux density against magnetizing force. This can
be done since generator voltage is directly proportional to
the field flux and the number of turns is fixed. There is a
different saturation curve for each speed. The lower straight
line portion of the curve represents the air gap because the
magnetic parts are not saturated. When the magnetic parts start
to saturate, the curve bends over until complete saturation
is reached. Then the curve becomes a straight line again. 
Figure 23.
No Load Saturation Curve

Figure 23.1
No Load Saturation Curve
Figure 23.2
No Load Saturation Curve
Generator Build Up
Generator build up usually refers to the gradual rise in voltage
at the armature terminals when the machine is self-excited
and operated at normal speed. This is illustrated in Figure
25 by referring to the field resistance line which shows
how the field current varies as field voltage is varied.
The slope of this line is the field resistance at a constant
temperature. The voltage rise starts with the residual magnetism
of the field iron. This provides a small voltage output E1
that is fed back to the field as 1. 1 increases the flux
providing a slightly larger voltage, E2 . E2 causes 2 to
flow. This process continues until the machine starts to
saturate and stops at the point where the field resistance
line intersects the saturation curve. If the speed of the
machine is reduced so that the saturation curve becomes tangent
to field resistance curve, the voltage will not build up.
This is known as the critical speed. Also, at any given speed,
if the field resistance is increased by addition of external
resistance, a critical resistance can be reached.

Figure 25.
DC Motor Curves
Voltage Output The voltage equation has been expressed as:
E = K1 S.
However, this is the generated voltage and part of it must
be used to overcome the IR drops in the machine, which are
caused by the resistance's of the armature, series field, interpoles,
brushes, etc. If these resistance's are combined together and
called armature resistance, then the voltage output at the
generator terminals can be expressed as:
V = E - Ia Ra - K1 S - Ia Ra
where:
E = generated voltage
Ia = armature current
Ra = armature circuit resistance
K1 = machine constants
= flux per pole
S = speed.
External Characteristics
The curve showing the relationship between output voltage and
output current is known as the external characteristic. Shown
in Figure 24 are the external characteristic curves for generators
with various types of excitation. If a generator, which is
separately excited, is driven at constant speed and has a
fixed field current, the output voltage will decrease with
increased load current as shown. This decrease is due to
the armature resistance and armature reaction effects. If
the field flux remained constant, the generated voltage would
tend to remain constant and the output voltage would be equal
to the generated voltage minus the IR drop of the armature
circuit. However, the demagnetizing component of armature
reactions tends to decrease the flux, thus adding an additional
factor, which decreases the output voltage.

Figure 24.
DC Generator Curves
In a shunt excited generator, it can be seen that the output
voltage decreases faster than with separate excitation. This
is due to the fact that, since the output voltage is reduced
because of the armature reaction effect and armature IR drop,
the field voltage is also reduced which further reduces the
flux. It can also be seen that beyond a certain critical value,
the shunt generator shows a reversal in trend of current values
with decreasing voltages. This point of maximum current output
is known as the breakdown point. At the short circuit condition,
the only flux available to produce current is the residual
magnetism of the armature.
To build up the voltage on a series generator, the external
circuit must be connected and its resistance reduced to a comparatively
low value. Since the armature is in series with the field,
load current must be flowing to obtain flux in the field. As
the voltage and current rise the load resistance may be increased
to its normal value. As the external characteristic curve shows,
the voltage output starts at zero, reaches a peak, and then
falls back to zero.
The combination of a shunt field and a series field gives
the best external characteristic as illustrated in Figure 24.
The voltage drop, which occurs in the shunt machine, is compensated
for by the voltage rise, which occurs in the series machine.
The addition of a sufficient number of series turns offsets
the armature IR drop and armature reaction effect, resulting
in a flat-compound generator, which has a nearly constant voltage.
If more series turns are added, the voltage may rise with load
and the machine is known as an over-compound generator.
Voltage Regulation
Voltage Regulation is the change in terminal voltage with the
change in load current at constant speed. A generator has
good regulation if the change in voltage between no load
and full load is small. If the change is large, the regulation
is poor. Expressed in equation form:
Percent Voltage Regulation = (ENL - EFL ) / EFL x 100 or for
some compound machines, Percent Voltage Regulation = (EFL -
ENL ) / EFL x 100
Figure 24 shows that the regulation of a separately excited
machine is better than that of a shunt machine. However, the
best regulation is obtained with a compound machine. The series
machine has practically no regulation at all and, therefore,
has little practical application.
Motor Characteristics
Motor Operation
As previously stated, a conductor moving through a magnetic
field due to the motor action also generates a voltage which
is in opposition to the applied voltage. This is the back EMF.
Then for motor action the voltage equation is:
V = E + IA RA = K1 S + IA RA
where:
V = applied or terminal voltage
E = back EMF
IA = armature current
RA = armature circuit resistance's
K1 = machine constants
= flux per pole
S = speed
When comparing this equation with the voltage equation of
a generator, it can be seen that in a generator the generated
voltage is higher than the terminal voltage while in a motor
the opposite is true. Therefore, as long as the generated voltage
is less than the terminal voltage, a machine operates as a
motor and takes power from the electrical side, but when the
generated voltage becomes greater than the terminal voltage,
the machine becomes a generator, supplies electric power, and
requires mechanical energy to keep operating.
The back or counter EMF acts as a control for the amount of
current needed for each mechanical load. When the mechanical
load is increased, the first effect is a reduction in speed.
But a reduction in speed also causes a reduction in back EMF,
thus making available an increased voltage for current flow
in the armature. Therefore, the current increases which in
turn increases the torque. Because of this action, a very slight
decrease in speed is sufficient to meet the increased torque
demand. Also, the input power is regulated to the amount required
for supplying the motor losses and output.
Speed Torque Curves
Speed torque curves for the three forms of excitation are shown
in Figure 25. In a shunt excited motor, the change in speed
is slight and, therefore, it is considered a constant speed
motor. Also, the field flux is nearly constant in a shunt
motor and the torque varies almost directly with armature
current.
In a series motor the drop in speed with increased torque
is much greater. This is due to the fact that the field flux
increases with increased current, thus tending to prevent the
reduction in back EMF that is being caused by the reduction
in speed. The field flux varies in a series motor and the torque
varies as the square of the armature current until saturation
is reached. Upon reaching saturation, the curve tends to approach
the straight line trend of the shunt motor. The no load speed
of a series motor is usually too high for safety and, therefore,
it should never be operated without sufficient load.
A compound motor has a speed torque characteristic which lies
between a shunt and series motor.
Speed Regulation
Speed regulation is the change in speed with the change in
load torque, other conditions being constant. A motor has
good regulation if the change between the no load speed and
full load speed is small.
Percent Speed Regulation = (SNL - SFL) / SFL x 100 A shunt
motor has good speed regulation while a series motor has poor
speed regulation. For some applications such as cranes or hoists,
the series motor has an advantage since it results in the more
deliberate movement of heavier loads. Also, the slowing down
of the series motor is better for heavy starting loads. However,
for many applications the shunt motor is preferred.
Motor Starting
When the armature is not rotating, the back EMF is zero and
the total applied voltage is available for sending current
through the armature. Since the armature resistance is low,
an enormous current would flow if voltage were applied under
this condition. Therefore, it is necessary to insert an additional
resistance in series with the armature until a satisfactory
speed is reached where the back EMF will take over to limit
the current input.
Losses And Efficiency
Friction and Windage
These losses include bearing friction, brush friction, and
windage. They are also known as mechanical losses. They are
constant at a given speed but vary with changes in speed. Power
losses due to friction increase as the square of the speed
and those due to windage increase as the cube of the speed. Armature Copper Losses
These are the I2 R losses of the armature circuit, which includes
the armature winding, commutator, and brushes. They vary
directly with the resistance and as the square of the currents.
Field Copper Losses
These are the I2 R losses of the field circuit which can include
the shunt field winding, series field winding, interpole
windings and any shunts used in connection with these windings.
They vary directly with the resistance and as the square
of the currents.
Core Losses
These are the hysteresis and eddy current losses in the armature.
With the continual change of direction of flux in the armature
iron, an expenditure of energy is required to carry the iron
through a complete hysteresis loop. This is the hysteresis
loss. Also since the iron is a conductor and revolving in
a magnetic field, a voltage will be generated. This, in turn,
will result in small circulating currents known as eddy currents.
If a solid core were used for the armature, the eddy current
losses would be high. They are reduced by using thin laminations,
which are insulated from each other. Hysteresis and eddy
current losses vary with flux density and speed.
Efficiency
For generations or motors, the efficiency is equal to the output
divided by the input. However, in a generator, the input
is mechanical while the output is electrical. In a motor
the opposite is true, therefore:
Motor Efficiency = (Input - Losses) / Input
Generator Efficiency = Output / (Output + Losses)
Section 3: Horsepower Basics
In 18th century England, coal was feeding the industrial revolution
and Thomas Newcomen invented a steam driven engine that was
used to pump water from coal mines. It was a Scott however,
by the name of James Watt, who in 1769 improved the steam
engine making it truly workable and practical. In his attempt
to sell his new steam engines, the first question coal mine
owners asked was "can your engine out work one of my
horses?" Watt didn't know since he didn't know how much
work a horse could do. To find out, Watt and his partner
bought a few average size horses and measured their work.
They found that the average horse worked at the rate of 22,000
foot pounds per minute. Watt decided, for some unknown reason,
to add 50% to this figure and rate the average horse at 33,000
foot pounds per minute.
What's important is that there is now a system in place for
measuring the rate of doing work. And there is a unit of power,
horsepower.
If steam engines had been developed some place else in the
world, where the horse was not the beast of burden, we might
be rating motors in oxen power or camel power. Today, motors
are also rated in Watts output.
hp = lb x fpm / 33,000
hp = ft-lb x rpm / 5,252
kW = hp x 0.7457
hpMetric = hp x 1.0138
Horsepower as defined by Watt, is the same for AC and DC motors,
gasoline engines, dog sleds, etc.
Horsepower and Electric Motors
Torque = force x radius = lb x ft = T
Speed = rpm = N
Constant = 5252 = C
HP = T x N / C
Torque and DC Motors T = k Ia
At overload, torque increases at some rate less than the increase
in current due to saturation
D2 L and Torque
258AT = 324 D2 L
259AT = 378 D2 L
With the same frame diameter, the 259AT has 17% more D2 L
and thus 17% more and 17% more Torque. Motor torque increases
with an increase in iron and copper, combined with current.
It can then be said that it takes iron and copper to produce
torque and torque makes products. Or to put it another way,
what you purchase to make product is TORQUE and that is IRON
and COPPER. The rate of doing work is power and HORSEPOWER
is a unit of power.
Speed and DC Motors
Shunt wound DC motors
With motor load, temperature and field current held constant,
speed is controlled by armature voltage.
E = ((Z / a) x x P x (N / 60) x 10-8 ) + (I Ra + I Rip + I Rb )
The sum of the voltage drop in the armature circuit can be
represented as IR
N = (E - IR) / K
Speed example: given motor is design G6219, frame MC3212,
50 hp, 1150 rpm, 500 volt armature, 85 amps full load, 0.432
armature circuit resistance hot, 0.206 armature circuit resistance
cold
Edrop = IR = 85 amp x 0.432 = 36.72 volts
500 v arm - 36.72 v drop = 463.28 working volts
Volts per rpm = 463.28 / 1150 rpm = 0.40285
Nbase speed = 1150 rpm = (500 v - 36.72 v) / 0.40285
With 250 v on the armature, there is 213.28 working volts (250 - 36.72)
213.28 / 0.40285 = 529 rpm (not 1/2 speed, 575 rpm)
N = 529 rpm = (250 v - 36.72 v) / 0.40285
N = (E - IR) / K = (E - IR) / 0.40285
K changes with changes in load and temperature
HPMetric = HP x 1.0138
kW = HP x 0.7457
|