PRESENTATION REPORT ON
Governor
Submitted By:
Anand kumar (ME/13/710)
Department of Mechanical Engineering
SHRI BALWANT INSTITUTE OF TECHNOLOGY
Approved by AICTE, Min of HRD, Govt of India & DTE, Govt of Haryana
Affiliated to DCR University of Science and Technology, Murthal, Sonepat
Meerut Road (Pallri), Near DPS, Sonepat-131001, Haryana
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ABSTRACT
My report focuses on the topic GOVERNOR in the following report I have studied about the
basics of Governor. As well as the report covers the inside view of the Governor. A governor,
or speed limiter, is a device used to measure and regulate the speed of a machine, such as an
engine. A classic example is the centrifugal governor, also known as the Watt or flyball
governor, which uses weights mounted on spring-loaded arms to determine how fast a shaft is
spinning, and then uses proportional control to regulate the shaft speed.
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CERTIFICATE
This is to certify that the Seminar Topic entitled as GOVERNOR and submitted by ANAND
KUMAR having Roll No ME/13/710, embodies the bonafide work done by him under my
supervision.
Signature of the Supervisor:
Place:
Date:
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Table of Contents
1 INTRODUCTION ......................................................................................................................................................... 5
2 DESCRIPTION.............................................................................................................................................................. 7
2.1 CENTRIFUGAL GOVERNORS......................................................................................................................................7
2.1.1 Gravity Controlled Centrifugal Governors..................................................................................................9
2.1.2 Spring Controlled Centrifugal Governors ................................................................................................ 12
2.2 CHARACTERISTICSOF GOVERNORS....................................................................................................................... 14
2.2.1 Stability........................................................................................................................................................... 14
2.2.2 Sensitiveness of Governors .......................................................................................................................... 14
2.2.3 Isochronous Governors ................................................................................................................................ 14
2.2.4 Hunting ........................................................................................................................................................... 15
2.2.5 Effort and Power of a Governor................................................................................................................. 16
3 HISTORY .....................................................................................................................................................................17
4 CONCLUSION .............................................................................................................................................................18
5 REFRENCES................................................................................................................................................................19
Page 5 of19
1 INTRODUCTION
The function of a Governor is totally different to that of a Flywheel. The former is required to
control the mean speed of a engine over a period of time as opposed to a flywheel which is
used to limit the almost inevitable fluctuations in speed, which occur during one cycle.
A good example of this is the single cylinder four stroke engine. There is only one power
stroke to two revolutions of the crankshaft. Without a flywheel, the speed would either
fluctuate by an unacceptable amount within one cycle, or the engine would not work at all
since the energy stored in the flywheel is required to carry the engine through to the next
Power Stroke.
A change in load on a engine will almost certainly lead to a change in speed and the
Governor is required to alter the supply of energy to the engine to bring the speed back to its
original value. This is achieved by connecting the rotating parts of the governor, through
suitable levers, to a sleeve on its axis of rotation. Any change in the speed causes a change in
the position of the rotating parts and consequently to the sleeve and this movement actuates
the fuel supply valve (this includes compressed air, steam or water) of the particular engine or
turbine. This function is of particular importance in A.C. electric generators since it is
important to maintain the correct number of cycles per second from the generator who's load
may change rapidly and unpredictably.
Generally Governors can be classified as either Centrifugal or Inertia. Flywheel which
minimizes fluctuations of speed within the cycle but it cannot minimize fluctuations due to
load variation. This means flywheel does not exercise any control over mean speed of the
engine. To minimize fluctuations in the mean speed which may occur due to load variation,
governor is used. The governor has no influence over cyclic speed fluctuations but it controls
the mean speed over a long period during which load on the engine may vary.
The function of governor is to increase the supply of working fluid going to the prime mover
when the load on the prime-mover increases and to decrease the supply when the load
decreases so as to keep the speed of the prime-mover almost constant at different loads.
Example: when the load on an engine increases, its speed decreases, therefore it becomes
necessary to increase the supply of working fluid. On the other hand, when the load on the
engine decreases, its speed increases and hence less working fluid is required.
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When there is change in load, variation in speed also takes place then governor operates a
regulatory control and adjusts the fuel supply to maintain the mean speed nearly constant.
Therefore, the governor automatically regulates through linkages, the energy supply to the
engine as demanded by variation of load so that the engine speed is maintained nearly
constant.
Types of Governors The governors may, broadly, be classified as
A. Centrifugal governors, and
B. Inertia governors.
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2 DESCRIPTION
Governor is a device used to maintain the speed of an engine within specified limits when the
engine works in varying of different loads. Based on the source of controlling force, the
governors can be classified into two types. Governor types are centrifugal governors and
inertia governors.
2.1 Centrifugal Governors
The centrifugal governors are based on the balancing of centrifugal force on the rotating balls
by an equal and opposite radial force, known as the controlling force. It consists of two balls
of equal mass, which are attached to the arms. These balls are known as governor balls or fly
balls. The balls revolve with a spindle, which is driven by the engine through bevel gears.
The upper ends of the arms are pivoted to the spindle, so that the balls may rise up or fall
down as they revolve about the vertical axis. The sleeve revolves with the spindle; but can
slide up and down. The balls and the sleeve rises when the spindle speed increases, and falls
when the speed decreases. In order to limit the travel of the sleeve in upward and downward
directions, two stops are provided on the spindle. The sleeve is connected by a bell crank
lever to a throttle valve. The supply of the working fluid decreases when the sleeve rises and
increases when it falls. When the load on the engine increases, the engine and the governor
speed decreases. This results in the decrease of centrifugal force on the balls. Hence the balls
move inwards and the sleeve moves downwards. The downward movement of the sleeve
operates a throttle valve at the other end of the bell crank lever to increase the supply of
working fluid and thus the engine speed is increased. Hence, the extra power output is
provided to balance the increased load.
Fig 1: Centrifugal Governor
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When the load on the engine decreases, the engine and the governor speed increases, which
results in the increase of centrifugal force on the balls. Thus the balls move outwards and the
sleeve rises upwards. This upward movement of the sleeve reduces the supply of the working
fluid and hence the speed is decreased. Hence, the power output is reduced.
In centrifugal governors, multiple masses know as governor balls, are responsible to revolve
about the axis of a shaft, which is driven through suitable gearing from the engine crankshaft.
Each ball is acted upon by a force which acts in the radially inward direction and is provided
by dead weight, a spring or a combination of two. This force is commonly called as the
controlling force and it will increase as the distance of the ball from the axis of rotation
increases. The inward or outward movement of the ball is transmitted by the governor
mechanism to the valve which controls the amount of energy supplied to the engine.
Fig 2: Types of Centrifugal Governor
Types of Centrifugal Governors Depending on the construction these governors are of two
types:
(a) Gravity controlled centrifugal governors, and
(b) Spring controlled centrifugal governors.
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2.1.1 GravityControlledCentrifugalGovernors
In this type of governors there is gravity force due to weight on the sleeve or weight of sleeve
itself which controls movement of the sleeve. These governors are comparatively larger in
size.
There are three commonly used gravity controlled centrifugal governors:
(a) Watt governor
(b) Porter governor
(c) Proell governor
Watt governor does not carry dead weight at the sleeve. Porter governor and proell governor
have heavy dead weight at the sleeve. In porter governor balls are placed at the junction of
upper and lower arms. In case of proell governor the balls are placed at the extension of lower
arms. The sensitiveness of watt governor is poor at high speed and this limits its field of
application. Porter governor is more sensitive than watt governor. The proell governor is
most sensitive out of these three.
2.1.1.1 Watt Governor
This governor was used by James Watt in his steam engine. The spindle is driven by the
output shaft of the prime mover. The balls are mounted at the junction of the two arms. The
upper arms are connected to the spindle and lower arms are connected to the sleeve
Fig 3: Watt Governor
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We ignore mass of the sleeve, upper and lower arms for simplicity of analysis. We can ignore
the friction also. The ball is subjected to the three forces which are centrifugal force (Fc),
weight (mg) and tension by upper arm (T). Taking moment about point O (intersection of arm
and spindle axis), we get
Figure shows a graph between height ‘h’ and speed ‘N’ in rpm. At high speed the change in
height h is very small which indicates that the sensitiveness of the governor is very poor at
high speeds because of flatness of the curve at higher speeds.
Fig 4: Graph between height & Speed
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2.1.1.2 Porter Governor
There are two sets of arms. The top arms OA and OB connect balls to the hinge O. The hinge
may be on the spindle or slightly away. The lower arms support dead weight and connect
balls also. All of them rotate with the spindle. We can consider one-half of governors for
equilibrium.
Let,
w be the weight of the ball,
T1 and T2 be tension in upper and lower arms, respectively,
Fc be the centrifugal force,
r be the radius of rotation of the ball from axis, and
I is the instantaneous centre of the lower arm.
Taking moment of all forces acting on the ball about I and neglecting friction at the sleeve,
we get
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Fig 5: Porter Governor
2.1.2 SpringControlledCentrifugal Governors
In these governors, a helical spring or several springs are utilized to control the movement of
sleeve or balls. These governors are comparatively smaller in size.
In these governors springs are used to counteract the centrifugal force. They can be designed
to operate at high speeds. They are comparatively smaller in size. Their speed range can be
changed by changing the initial setting of the spring. They can work with inclined axis of
rotation also. These governors may be very suitable for IC engines, etc.
The most commonly used spring controlled centrifugal governors are:
(a) Hartnell governor
(b) Wilson-Hartnell governor
(c) Hartung governor
2.1.2.1 Hartnell Governor
The Hartnell governor is shown in Figure 6. The two bell crank levers have been. One end of
each bellprovided which can have rotating motion about fulcrums O and O crank lever
carries a ball and a roller at the end of other arm. The rollers make contact with the sleeve.
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The frame is connected to the spindle. A helical spring is mounted around the spindle
between frame and sleeve. With the rotation of the spindle, all these parts rotate.
With the increase of speed, the radius of rotation of the balls increases and the rollers lift the
sleeve against the spring force. With the decrease in speed, the sleeve moves downwards. The
movement of the sleeve is transferred to the throttle of the engine through linkages.
Fig 6: Hartnell Governor
2.1.2.2 Inertia Governors
This works on a different principle. The governor balls are arranged so that the inertia forces
caused by angular acceleration or retardation of the governor shaft tend to alter their
positions. The amount of the displacement of the balls is controlled by springs and the
governor mechanism to alter the supply of energy to the engine. The advantage of this type of
governor is that the positions of the balls are affected by the rate of change of speed of the
governor shaft. Consequently, a more rapid response to a change of load is obtained, since the
action of the governor is due to acceleration and not to a finite change of speed. The
advantage is offset, however, by the practical difficulty of arranging for a complete balance
of the revolving parts of the governor. For this reason centrifugal governors are much more
frequently used.
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2.2 Characteristics of Governors
Different governors can be compared on the basis of following characteristics.
2.2.1 Stability
A governor is said to be stable when for every speed within the working range there is a
definite configuration i.e. there is only one radius of rotation of the governor balls at which
the governor is in equilibrium. For a stable governor, if the equilibrium speed increases, the
radius of governor balls must also increase.
2.2.2 SensitivenessofGovernors
If a governor operates between the speed limits N1 and N2, then sensitiveness is defined as
the ratio of the mean speed to the difference between the maximum and minimum speeds.
Thus,
N1 = Minimum equilibrium speed,
N2 = Maximum equilibrium speed, and
2.2.3 IsochronousGovernors
A governor is said to be isochronous when the equilibrium speed is constant (i.e. range of
speed is zero) for all radii of rotation of the balls within the working range, neglecting
friction. The isochronism is the stage of infinite sensitivity.
Let us consider the case of a Porter governor running at speeds N1 and N2 rpm.
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For Isochronism, range of speed should be zero i.e. N2 – N1 = 0 or N2 = N1. Therefore from
equations (1) and (2), h1 = h2, which is impossible in case of a Porter governor. Hence a
Porter governor cannot be isochronous. Now consider the case of a Hartnell governor running
at speeds N1 and N2 rpm.
Note: The isochronous governor is not of practical use because the sleeve will move to one of
its extreme positions immediately the speed deviates from the isochronous speed.
2.2.4 Hunting
Hunting is the name given to a condition in which the speed of the engine controlled by the
governor fluctuates continuously above and below the mean speed. It is caused by a governor
which is too sensitive and which, therefore, changes by large amount the supply of fuel to the
engine.
The following points, for the stability of spring-controlled governors, may be noted 1. For the
governor to be stable, the controlling force (FC) must increase as the radius of rotation (r)
increases, i.e. FC / r must increase as r increases. Hence the controlling force line AB when
produced must intersect the controlling force axis below the origin. The relation between the
controlling force (FC) and the radius of rotation (r) for the stability of spring controlled
governors is given by the following equation
Where a and b are constants
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The value of b in equation (i) may be made either zero or positive by increasing the initial
tension of the spring. If b is zero, the controlling force line CD passes through the origin and
the governor becomes isochronous because FC /r will remain constant for all radii of rotation.
The relation between the controlling force and the radius of rotation, for an isochronous
governor is, therefore,
If b is greater than zero or positive, then FC /r decreases as r increases, so that the equilibrium
speed of the governor decreases with an increase of the radius of rotation of balls, which is
impracticable Such a governor is said to be unstable and the relation between the controlling
force and the radius of rotation is, therefore
2.2.5 EffortandPowerof a Governor
The effort of a governor is the mean force exerted at the sleeve for a given percentage change
of speed (or lift of the sleeve). It may be noted that when the governor is running steadily,
there is no force at the sleeve. But, when the speed changes, there is a resistance at the sleeve
which opposes its motion. It is assumed that this resistance which is equal to the effort varies
uniformly from a maximum value to zero while the governor moves into its new position of
equilibrium. The power of a governor is the work done at the sleeve for a given percentage
change of speed. It is the product of the mean value of the effort and the distance through
which the sleeve moves.
i.e., Power = Mean effort × lift of sleeve
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3 History
Centrifugal governors were used to regulate the distance and pressure
between millstones in windmills since the 17th century. Early steam engines employed a
purely reciprocating motion, and were used for pumping water – an application that could
tolerate variations in the working speed.
It was not until the Scottish engineer James Watt introduced the rotative steam engine, for
driving factory machinery, that a constant operating speed became necessary. Between the
years 1775 and 1800, Watt, in partnership with industrialist Matthew Boulton, produced
some 500 rotative beam engines. At the heart of these engines was Watt’s self-designed
"conical pendulum" governor: a set of revolving steel balls attached to a vertical spindle by
link arms, where the controlling force consists of the weight of the balls.
The theoretical basis for the operation of governors was described by James Clerk
Maxwell in 1868 in his seminal paper' On Governors' Building on Watt’s design was
American engineer Willard Gibbs who in 1872 theoretically analyzed Watt’s conical
pendulum governor from a mathematical energy balance perspective. During his Graduate
school years at Yale University, Gibbs observed that the operation of the device in practice
was beset with the disadvantages of sluggishness and a tendency to overcorrect for the
changes in speed it was supposed to control.
Gibbs theorized that, analogous to the equilibrium of the simple Watt governor (which
depends on the balancing of two torques: one due to the weight of the "balls" and the other
due to their rotation), thermodynamic equilibrium for any work producing thermodynamic
system depends on the balance of two entities. The first is the heat energy supplied to the
intermediate substance, and the second is the work energy performed by the intermediate
substance. In this case, the intermediate substance is steam.
These sorts of theoretical investigations culminated in the 1876 publication of the Gibbs'
famous work On the Equilibrium of Heterogeneous Substances and in the construction of the
Gibbs’ governor, shown adjacent. These formulations are ubiquitous today in the natural
sciences in the form of the Gibbs' free energy equation, which is used to determine the
equilibrium of chemical reactions; also known as Gibbs equilibrium.
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4 CONCLUSION
The governors are control mechanisms and they work on the principle of feedback control.
Their basic function is to control the speed within limits when the load on the prime mover
changes. They have no control over the change is speed within the cycle. The speed control
within the cycle is done by the flywheel.
The governors are classified in three main categories that are centrifugal governors, inertial
governor and pickering governor. The use of the two later governors is very limited and in
most of the cases centrifugal governors are used. The centrifugal governors are classified into
two main categories, gravity controlled type and spring loaded type.
The gravity controlled types of governors are larger in size and require more space as
compared to the spring controlled governors. These types of governors are two, i.e. Porter
governor and Proell governor. The spring controlled governors are: Hartnel governor, Wilson-
Hartnell governor and Hartung governor.
For comparing different type of governors, effort and power is used. They determine whether
a particular type of governor is suitable for a given situation or not. To categorise a governor
the characteristics can be used. It can be determined whether a governor is stable or
isochronous or it is prone to hunting. The friction at the sleeve gives rise to the insensitiveness
in the governor. At any particular radius, there shall be two speeds due to the friction.
Therefore, it is most desirable that the friction should be as low as possible.
The stability of a spring controlled governor can be determined by drawing controlling force
diagram which should have intercept on the negative side of Y-axis
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5 REFRENCES
 http://www.infoplease.com/encyclopedia/science/mechanical governor.html

Presentation Report on Governor

  • 1.
    PRESENTATION REPORT ON Governor SubmittedBy: Anand kumar (ME/13/710) Department of Mechanical Engineering SHRI BALWANT INSTITUTE OF TECHNOLOGY Approved by AICTE, Min of HRD, Govt of India & DTE, Govt of Haryana Affiliated to DCR University of Science and Technology, Murthal, Sonepat Meerut Road (Pallri), Near DPS, Sonepat-131001, Haryana
  • 2.
    Page 2 of19 ABSTRACT Myreport focuses on the topic GOVERNOR in the following report I have studied about the basics of Governor. As well as the report covers the inside view of the Governor. A governor, or speed limiter, is a device used to measure and regulate the speed of a machine, such as an engine. A classic example is the centrifugal governor, also known as the Watt or flyball governor, which uses weights mounted on spring-loaded arms to determine how fast a shaft is spinning, and then uses proportional control to regulate the shaft speed.
  • 3.
    Page 3 of19 CERTIFICATE Thisis to certify that the Seminar Topic entitled as GOVERNOR and submitted by ANAND KUMAR having Roll No ME/13/710, embodies the bonafide work done by him under my supervision. Signature of the Supervisor: Place: Date:
  • 4.
    Page 4 of19 Tableof Contents 1 INTRODUCTION ......................................................................................................................................................... 5 2 DESCRIPTION.............................................................................................................................................................. 7 2.1 CENTRIFUGAL GOVERNORS......................................................................................................................................7 2.1.1 Gravity Controlled Centrifugal Governors..................................................................................................9 2.1.2 Spring Controlled Centrifugal Governors ................................................................................................ 12 2.2 CHARACTERISTICSOF GOVERNORS....................................................................................................................... 14 2.2.1 Stability........................................................................................................................................................... 14 2.2.2 Sensitiveness of Governors .......................................................................................................................... 14 2.2.3 Isochronous Governors ................................................................................................................................ 14 2.2.4 Hunting ........................................................................................................................................................... 15 2.2.5 Effort and Power of a Governor................................................................................................................. 16 3 HISTORY .....................................................................................................................................................................17 4 CONCLUSION .............................................................................................................................................................18 5 REFRENCES................................................................................................................................................................19
  • 5.
    Page 5 of19 1INTRODUCTION The function of a Governor is totally different to that of a Flywheel. The former is required to control the mean speed of a engine over a period of time as opposed to a flywheel which is used to limit the almost inevitable fluctuations in speed, which occur during one cycle. A good example of this is the single cylinder four stroke engine. There is only one power stroke to two revolutions of the crankshaft. Without a flywheel, the speed would either fluctuate by an unacceptable amount within one cycle, or the engine would not work at all since the energy stored in the flywheel is required to carry the engine through to the next Power Stroke. A change in load on a engine will almost certainly lead to a change in speed and the Governor is required to alter the supply of energy to the engine to bring the speed back to its original value. This is achieved by connecting the rotating parts of the governor, through suitable levers, to a sleeve on its axis of rotation. Any change in the speed causes a change in the position of the rotating parts and consequently to the sleeve and this movement actuates the fuel supply valve (this includes compressed air, steam or water) of the particular engine or turbine. This function is of particular importance in A.C. electric generators since it is important to maintain the correct number of cycles per second from the generator who's load may change rapidly and unpredictably. Generally Governors can be classified as either Centrifugal or Inertia. Flywheel which minimizes fluctuations of speed within the cycle but it cannot minimize fluctuations due to load variation. This means flywheel does not exercise any control over mean speed of the engine. To minimize fluctuations in the mean speed which may occur due to load variation, governor is used. The governor has no influence over cyclic speed fluctuations but it controls the mean speed over a long period during which load on the engine may vary. The function of governor is to increase the supply of working fluid going to the prime mover when the load on the prime-mover increases and to decrease the supply when the load decreases so as to keep the speed of the prime-mover almost constant at different loads. Example: when the load on an engine increases, its speed decreases, therefore it becomes necessary to increase the supply of working fluid. On the other hand, when the load on the engine decreases, its speed increases and hence less working fluid is required.
  • 6.
    Page 6 of19 Whenthere is change in load, variation in speed also takes place then governor operates a regulatory control and adjusts the fuel supply to maintain the mean speed nearly constant. Therefore, the governor automatically regulates through linkages, the energy supply to the engine as demanded by variation of load so that the engine speed is maintained nearly constant. Types of Governors The governors may, broadly, be classified as A. Centrifugal governors, and B. Inertia governors.
  • 7.
    Page 7 of19 2DESCRIPTION Governor is a device used to maintain the speed of an engine within specified limits when the engine works in varying of different loads. Based on the source of controlling force, the governors can be classified into two types. Governor types are centrifugal governors and inertia governors. 2.1 Centrifugal Governors The centrifugal governors are based on the balancing of centrifugal force on the rotating balls by an equal and opposite radial force, known as the controlling force. It consists of two balls of equal mass, which are attached to the arms. These balls are known as governor balls or fly balls. The balls revolve with a spindle, which is driven by the engine through bevel gears. The upper ends of the arms are pivoted to the spindle, so that the balls may rise up or fall down as they revolve about the vertical axis. The sleeve revolves with the spindle; but can slide up and down. The balls and the sleeve rises when the spindle speed increases, and falls when the speed decreases. In order to limit the travel of the sleeve in upward and downward directions, two stops are provided on the spindle. The sleeve is connected by a bell crank lever to a throttle valve. The supply of the working fluid decreases when the sleeve rises and increases when it falls. When the load on the engine increases, the engine and the governor speed decreases. This results in the decrease of centrifugal force on the balls. Hence the balls move inwards and the sleeve moves downwards. The downward movement of the sleeve operates a throttle valve at the other end of the bell crank lever to increase the supply of working fluid and thus the engine speed is increased. Hence, the extra power output is provided to balance the increased load. Fig 1: Centrifugal Governor
  • 8.
    Page 8 of19 Whenthe load on the engine decreases, the engine and the governor speed increases, which results in the increase of centrifugal force on the balls. Thus the balls move outwards and the sleeve rises upwards. This upward movement of the sleeve reduces the supply of the working fluid and hence the speed is decreased. Hence, the power output is reduced. In centrifugal governors, multiple masses know as governor balls, are responsible to revolve about the axis of a shaft, which is driven through suitable gearing from the engine crankshaft. Each ball is acted upon by a force which acts in the radially inward direction and is provided by dead weight, a spring or a combination of two. This force is commonly called as the controlling force and it will increase as the distance of the ball from the axis of rotation increases. The inward or outward movement of the ball is transmitted by the governor mechanism to the valve which controls the amount of energy supplied to the engine. Fig 2: Types of Centrifugal Governor Types of Centrifugal Governors Depending on the construction these governors are of two types: (a) Gravity controlled centrifugal governors, and (b) Spring controlled centrifugal governors.
  • 9.
    Page 9 of19 2.1.1GravityControlledCentrifugalGovernors In this type of governors there is gravity force due to weight on the sleeve or weight of sleeve itself which controls movement of the sleeve. These governors are comparatively larger in size. There are three commonly used gravity controlled centrifugal governors: (a) Watt governor (b) Porter governor (c) Proell governor Watt governor does not carry dead weight at the sleeve. Porter governor and proell governor have heavy dead weight at the sleeve. In porter governor balls are placed at the junction of upper and lower arms. In case of proell governor the balls are placed at the extension of lower arms. The sensitiveness of watt governor is poor at high speed and this limits its field of application. Porter governor is more sensitive than watt governor. The proell governor is most sensitive out of these three. 2.1.1.1 Watt Governor This governor was used by James Watt in his steam engine. The spindle is driven by the output shaft of the prime mover. The balls are mounted at the junction of the two arms. The upper arms are connected to the spindle and lower arms are connected to the sleeve Fig 3: Watt Governor
  • 10.
    Page 10 of19 Weignore mass of the sleeve, upper and lower arms for simplicity of analysis. We can ignore the friction also. The ball is subjected to the three forces which are centrifugal force (Fc), weight (mg) and tension by upper arm (T). Taking moment about point O (intersection of arm and spindle axis), we get Figure shows a graph between height ‘h’ and speed ‘N’ in rpm. At high speed the change in height h is very small which indicates that the sensitiveness of the governor is very poor at high speeds because of flatness of the curve at higher speeds. Fig 4: Graph between height & Speed
  • 11.
    Page 11 of19 2.1.1.2Porter Governor There are two sets of arms. The top arms OA and OB connect balls to the hinge O. The hinge may be on the spindle or slightly away. The lower arms support dead weight and connect balls also. All of them rotate with the spindle. We can consider one-half of governors for equilibrium. Let, w be the weight of the ball, T1 and T2 be tension in upper and lower arms, respectively, Fc be the centrifugal force, r be the radius of rotation of the ball from axis, and I is the instantaneous centre of the lower arm. Taking moment of all forces acting on the ball about I and neglecting friction at the sleeve, we get
  • 12.
    Page 12 of19 Fig5: Porter Governor 2.1.2 SpringControlledCentrifugal Governors In these governors, a helical spring or several springs are utilized to control the movement of sleeve or balls. These governors are comparatively smaller in size. In these governors springs are used to counteract the centrifugal force. They can be designed to operate at high speeds. They are comparatively smaller in size. Their speed range can be changed by changing the initial setting of the spring. They can work with inclined axis of rotation also. These governors may be very suitable for IC engines, etc. The most commonly used spring controlled centrifugal governors are: (a) Hartnell governor (b) Wilson-Hartnell governor (c) Hartung governor 2.1.2.1 Hartnell Governor The Hartnell governor is shown in Figure 6. The two bell crank levers have been. One end of each bellprovided which can have rotating motion about fulcrums O and O crank lever carries a ball and a roller at the end of other arm. The rollers make contact with the sleeve.
  • 13.
    Page 13 of19 Theframe is connected to the spindle. A helical spring is mounted around the spindle between frame and sleeve. With the rotation of the spindle, all these parts rotate. With the increase of speed, the radius of rotation of the balls increases and the rollers lift the sleeve against the spring force. With the decrease in speed, the sleeve moves downwards. The movement of the sleeve is transferred to the throttle of the engine through linkages. Fig 6: Hartnell Governor 2.1.2.2 Inertia Governors This works on a different principle. The governor balls are arranged so that the inertia forces caused by angular acceleration or retardation of the governor shaft tend to alter their positions. The amount of the displacement of the balls is controlled by springs and the governor mechanism to alter the supply of energy to the engine. The advantage of this type of governor is that the positions of the balls are affected by the rate of change of speed of the governor shaft. Consequently, a more rapid response to a change of load is obtained, since the action of the governor is due to acceleration and not to a finite change of speed. The advantage is offset, however, by the practical difficulty of arranging for a complete balance of the revolving parts of the governor. For this reason centrifugal governors are much more frequently used.
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    Page 14 of19 2.2Characteristics of Governors Different governors can be compared on the basis of following characteristics. 2.2.1 Stability A governor is said to be stable when for every speed within the working range there is a definite configuration i.e. there is only one radius of rotation of the governor balls at which the governor is in equilibrium. For a stable governor, if the equilibrium speed increases, the radius of governor balls must also increase. 2.2.2 SensitivenessofGovernors If a governor operates between the speed limits N1 and N2, then sensitiveness is defined as the ratio of the mean speed to the difference between the maximum and minimum speeds. Thus, N1 = Minimum equilibrium speed, N2 = Maximum equilibrium speed, and 2.2.3 IsochronousGovernors A governor is said to be isochronous when the equilibrium speed is constant (i.e. range of speed is zero) for all radii of rotation of the balls within the working range, neglecting friction. The isochronism is the stage of infinite sensitivity. Let us consider the case of a Porter governor running at speeds N1 and N2 rpm.
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    Page 15 of19 ForIsochronism, range of speed should be zero i.e. N2 – N1 = 0 or N2 = N1. Therefore from equations (1) and (2), h1 = h2, which is impossible in case of a Porter governor. Hence a Porter governor cannot be isochronous. Now consider the case of a Hartnell governor running at speeds N1 and N2 rpm. Note: The isochronous governor is not of practical use because the sleeve will move to one of its extreme positions immediately the speed deviates from the isochronous speed. 2.2.4 Hunting Hunting is the name given to a condition in which the speed of the engine controlled by the governor fluctuates continuously above and below the mean speed. It is caused by a governor which is too sensitive and which, therefore, changes by large amount the supply of fuel to the engine. The following points, for the stability of spring-controlled governors, may be noted 1. For the governor to be stable, the controlling force (FC) must increase as the radius of rotation (r) increases, i.e. FC / r must increase as r increases. Hence the controlling force line AB when produced must intersect the controlling force axis below the origin. The relation between the controlling force (FC) and the radius of rotation (r) for the stability of spring controlled governors is given by the following equation Where a and b are constants
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    Page 16 of19 Thevalue of b in equation (i) may be made either zero or positive by increasing the initial tension of the spring. If b is zero, the controlling force line CD passes through the origin and the governor becomes isochronous because FC /r will remain constant for all radii of rotation. The relation between the controlling force and the radius of rotation, for an isochronous governor is, therefore, If b is greater than zero or positive, then FC /r decreases as r increases, so that the equilibrium speed of the governor decreases with an increase of the radius of rotation of balls, which is impracticable Such a governor is said to be unstable and the relation between the controlling force and the radius of rotation is, therefore 2.2.5 EffortandPowerof a Governor The effort of a governor is the mean force exerted at the sleeve for a given percentage change of speed (or lift of the sleeve). It may be noted that when the governor is running steadily, there is no force at the sleeve. But, when the speed changes, there is a resistance at the sleeve which opposes its motion. It is assumed that this resistance which is equal to the effort varies uniformly from a maximum value to zero while the governor moves into its new position of equilibrium. The power of a governor is the work done at the sleeve for a given percentage change of speed. It is the product of the mean value of the effort and the distance through which the sleeve moves. i.e., Power = Mean effort × lift of sleeve
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    Page 17 of19 3History Centrifugal governors were used to regulate the distance and pressure between millstones in windmills since the 17th century. Early steam engines employed a purely reciprocating motion, and were used for pumping water – an application that could tolerate variations in the working speed. It was not until the Scottish engineer James Watt introduced the rotative steam engine, for driving factory machinery, that a constant operating speed became necessary. Between the years 1775 and 1800, Watt, in partnership with industrialist Matthew Boulton, produced some 500 rotative beam engines. At the heart of these engines was Watt’s self-designed "conical pendulum" governor: a set of revolving steel balls attached to a vertical spindle by link arms, where the controlling force consists of the weight of the balls. The theoretical basis for the operation of governors was described by James Clerk Maxwell in 1868 in his seminal paper' On Governors' Building on Watt’s design was American engineer Willard Gibbs who in 1872 theoretically analyzed Watt’s conical pendulum governor from a mathematical energy balance perspective. During his Graduate school years at Yale University, Gibbs observed that the operation of the device in practice was beset with the disadvantages of sluggishness and a tendency to overcorrect for the changes in speed it was supposed to control. Gibbs theorized that, analogous to the equilibrium of the simple Watt governor (which depends on the balancing of two torques: one due to the weight of the "balls" and the other due to their rotation), thermodynamic equilibrium for any work producing thermodynamic system depends on the balance of two entities. The first is the heat energy supplied to the intermediate substance, and the second is the work energy performed by the intermediate substance. In this case, the intermediate substance is steam. These sorts of theoretical investigations culminated in the 1876 publication of the Gibbs' famous work On the Equilibrium of Heterogeneous Substances and in the construction of the Gibbs’ governor, shown adjacent. These formulations are ubiquitous today in the natural sciences in the form of the Gibbs' free energy equation, which is used to determine the equilibrium of chemical reactions; also known as Gibbs equilibrium.
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    Page 18 of19 4CONCLUSION The governors are control mechanisms and they work on the principle of feedback control. Their basic function is to control the speed within limits when the load on the prime mover changes. They have no control over the change is speed within the cycle. The speed control within the cycle is done by the flywheel. The governors are classified in three main categories that are centrifugal governors, inertial governor and pickering governor. The use of the two later governors is very limited and in most of the cases centrifugal governors are used. The centrifugal governors are classified into two main categories, gravity controlled type and spring loaded type. The gravity controlled types of governors are larger in size and require more space as compared to the spring controlled governors. These types of governors are two, i.e. Porter governor and Proell governor. The spring controlled governors are: Hartnel governor, Wilson- Hartnell governor and Hartung governor. For comparing different type of governors, effort and power is used. They determine whether a particular type of governor is suitable for a given situation or not. To categorise a governor the characteristics can be used. It can be determined whether a governor is stable or isochronous or it is prone to hunting. The friction at the sleeve gives rise to the insensitiveness in the governor. At any particular radius, there shall be two speeds due to the friction. Therefore, it is most desirable that the friction should be as low as possible. The stability of a spring controlled governor can be determined by drawing controlling force diagram which should have intercept on the negative side of Y-axis
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    Page 19 of19 5REFRENCES  http://www.infoplease.com/encyclopedia/science/mechanical governor.html