Final Year MAIN PDF EE- 4207

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    Department of Electrical Engineering, SGSITS, Indore

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    SGSITS-Machines Lab

    Electrical Machines-III (EE-4201)

    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    OBJECT:To determine the transfer function of D.C. machine.

    SPECIFICATIONS OF THE D.C. MACHINE:

    REQURIMENT/EQUIPMENTS:

    THEORY:

    Most of the D.C. motors in servo applications are of separately excited

    type. The output of D.C. amplifier can be connected to either field terminals or to the

    armature terminals of the motor. When the field is energized by the amplifier signal,the motor is said to be field controlled and if the armature is supplied by the

    amplifier, it is said to be armature controlled.

    A

    AA

    Z

    ZZ

    MD.C.

    Amplifier

    Error

    Signal

    Ia(constant)

    LaLf af

    Figure 2.1- Field controlled DC motor

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    A

    AA

    Z

    ZZ

    MD.C.

    Amplifier

    LaLf af

    If (constant)

    Error

    Signal

    Figure 2.2- Armature controlled DC motor

    Transfer function of any system in general is a ration of Laplace

    transform of the output to the input with all initial conditions zero. It can be a pure

    numeric having no units or may be real or complex and may have unit depending upon

    the choice of input and output quantities. In the most simplified form, an open loop

    system can be described as shown in figure below:

    G(s)R(s) C(s)

    1 2

    Figure 2.3- Block Diagram of control system

    Where the number 1 and 2 represent the input and output nodes, R(s) - input and C(s)

    -output. (The arrow represents the direction of signal flow.)

    The transfer function of such a system is G(s), defined by following relation:

    G(s) =C(s)

    R(s)

    In more complicated closed loop systems, there will be one or more than on

    nodes in addition to the input and output nodes as well as feedback loops. The

    solution of overall transfer function can be found out by applying basic signal flow

    algebra or Massions Gain formula. The signal flow technique forms an essential part

    of a feedback system and therefore necessitates the determinations of the transfer

    function.

    In this experiment we shall determine the transfer function of an armature

    controlled D.C. motor. (See figure 2.2)

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    We wish to determine the transfer function

    G(s) =(s)

    Va (s)

    We have, Ia(s) = (Va sEb s)Ra (1+sRa ) ..(1)

    Where Ta= La/Ra

    Eb= K.If where K = ZP/2A

    Taking Laplace transform, Eb(s) = sK.If(s).m(s) ..(2)

    Also the developed torque, Tm(s) is given by

    Tm(s) = K.Ia(s).If(s) ..(3)

    But

    Tm(s) = TL(s) + Jm.s2.m(s) + sFm.m(s)

    Or Tm(s) = TL(s) + sFm(1+sT)m(s) ..(4)

    Where T = Jm/Fm= motor time constant

    If the machine is running at no load, TL(s) = 0

    Hence from equation (2) and (3)

    m(s) = K.IfsFm .s(1+sT)Ia(s)

    From equation (1), (2), (3) and (4), a block diagram can be draw as shown below:

    +- )a1(

    1

    sTRa K If(s)

    Ia(s)

    )'1(

    1

    sTsPm

    Tm(s)

    sK If(s)

    Va(s) m(s)

    Eb(s)

    Figure 2.4- Closed loop block diagram of DC motor

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    From the block diagram, the overall transfer function, G(s) of the motor can be

    determined as:

    G(s) =m (s)

    Va (s)=

    K If(s)

    s.K2If2+ s Fm Ra (1+sTa )(1+sT

    )

    Thus the experiment consists of the determination of K, Fm, Jm, Raand La.

    PRE EXPERIMENTAL QUESTIONS:

    1. What is the moment of inertia? On what physical parameters does it depend?

    2. What do you understand by polar moment of inertia?

    3. Can the retardation test be conducted under load condition, comment?

    4. In retardation test will the time required for the speed to drop increase or

    decrease when fly wheel is removed from the motor shaft?

    1. Determination of K:

    From equation (1), K is defined as

    K =induced emf /field current

    speed of the machine

    Make the connection as shown in figure 2.8, run the machine as a generator at

    constant speed and note down the voltage induced voltage for the different values of

    the field current. Plot these values of voltage against the field current which will give

    the magnetization characteristics of the machine (figure 2.5). From this, determine the

    value of K.

    =constant

    E

    If

    k=(E/If)/

    Figure 2.5-Magnetization characteristics of DC machine

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    2. Determination of Fmand Jm:

    Perform the retardation test on the D.C. machine. Run the machine at a little

    over the rated speed and cut the supply, not down the fall of speed with time. Repeat

    the same test with armature circuit connected to a known resistance. Two speed time

    curves will have two time constants T1and T2respectively (see figure 2.9). These time

    constants bear the following relations with Fmand Jm.

    T1=Jm

    Fm

    And

    T2=Jm

    Fm +K 2I

    f2

    Rext .

    Where Rext is known resistance connected across the armature in the latter

    part. Determine Fm and Jm from these relations. For retardation test, make the

    connections as shown below:

    A

    L1

    L2

    A

    AA

    Z

    ZZ

    Rext

    AVM

    K

    Figure 2.6

    3. Determination of Raand La:

    Laof armature circuit is usually very small and hence can be neglected. Measurethe resistance of the armature by ammeter voltmeter method (Figure 2.8).

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    A

    L1

    L2

    A

    AA

    Z

    ZZ

    AVM V

    L1

    L2

    Figure 2.7

    Figure 2.8- Measurement of armature resistance

    T1 T2

    Speed

    N

    Time

    t Figure 2.9- Speed time curve of DC machine

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    OBSERVATION:

    1. Magnetization Characteristics:

    Speed of machine = . RPM, K =

    If(A)

    E (V)

    2. Retardation test:

    Field current = .. A

    (i)

    Rext.= .

    Time

    (sec)

    Speed

    (RPM)

    (ii)Rext. = ..

    Time(sec)

    Speed

    (RPM)

    (iii)

    Determination of Ra by ammeter voltmeter method

    Va(V)

    Ia(A)

    Ra()

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    REPORT:

    1. Find out the transfer function(s)

    Va (s)?

    2. Find out the time response of the system, if the input is a unit step voltage?

    3.

    Discuss the effect of various time constants on the response of the system and

    comment on its stability?

    4. Derive the transfer function of a field controlled motor and give the block

    diagram representation?

    5. What are the assumptions made in this experiment?

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    SGSITS-Machines Lab

    Electrical Machines-III (EE-4201)

    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    AIM:To draw the torque-slip characteristics of a 3-phase induction motor

    APPARATUS: Watt meter-2, ammeter-1, voltmeter-1, tachometer-1, resistance bank-

    1, Variable rotor resistance,

    SPECIFCATIONS OF THE MOTOR:

    CIRCUIT DIAGRAM:

    DC

    GENERATOR

    TWO SPEED

    MOTOR

    SLIP RING

    INDUCTION

    MOTOR

    A

    V

    L

    O

    A

    D

    A BC

    D E F

    Ra RbRc

    EXTERNAL ROTOR

    RESISTANCE

    LM

    M L

    CV

    C V

    LINE AMPS

    LINE

    VOLTS

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    THEORY:

    Induction motors, as they are widely used on account of their low cost, reduced

    maintenance and robust construction or a very important class of electrical machines.

    Mechanical characteristics of the motors fully define their use to various types of

    loads. The load torque variation and the developed torque variation define the point

    of operation.

    The torque in an induction machine can be formulated in different ways as shown

    below

    Torque

    =222/22+222 =

    22/2

    2+22 =

    Rotor input or air gap power

    synchronous speed in rad /sec =

    32

    The above equation defines the torque slip characteristics.

    The torque as it is proportional to the rotor input is calculated from the rotor input

    less than stator losses, speed being measured at each load. The load on the induction

    motor is put indirectly by putting n electrical load on the d-c generator coupled to it.

    The difference between the synchronous speed and rotor speed can be expressed as a

    percentage of synchronous speed, known as the slip.

    =

    s = slip, Ns = synchronous speed (rpm), Nr = rotor speed (rpm)

    At no-load, the slip is nearly zero (

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    Power flow in induction machine:

    Complete Torque slip characteristics of an induction motor

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    MODEL GRAPHS:

    Torque slips characteristics of IM at different rotor resistances

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    PROCEDURE:

    Connect the electrical circuit as shown in the circuit diagram.

    Start the motor after inserting the full rotor resistance in the circuit.

    Note down the power input, current and speed at various loads measure the

    stator resistance per phase. (0.81 per phase).

    Open circuit the rotor and switch the supply on to the stator. The power gives

    approximately the core losses in rotor and stator both (like the open circuit Test

    of transformer). Assuming it to be equally divided, find the stator iron loss.

    Calculate the torque from power input to the motor that is the copper and

    stator loss in the stator, and also slip from the observer values of the

    corresponding speed.

    OBSERVATIONS:

    A)Full load rotor resistance in the circuit

    I W1 W2 Win 32R STATORIRON

    LOSS

    ROTOR

    INPUT

    WATT

    TORQUE SPEED SLIP

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    B) Intermediate rotor resistance in the circuit

    I W1 W2 Win 32R STATORIRON

    LOSS

    ROTOR

    INPUT

    WATT

    TORQUE SPEED SLIP

    C) All rotor resistance out

    I W1 W2 Win 32R STATORIRON

    LOSS

    ROTOR

    INPUT

    WATT

    TORQUE SPEED SLIP

    d) D-C resistance (stator) per phase _____________ ohm.

    e)Total iron loss with rotor open circuited ____________watt.

    REPORTS:

    Plot the torque slip characteristics and the current speed characteristics of the given

    induction machine.

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    SGSITS-Machines Lab

    Electrical Machines-III (EE-4201)

    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    OBJECT: To study the operation of an induction motor on unbalanced three phase

    supply.

    SPECIFICATIONS OF THE MACHINE:

    REQUIREMENTS/EQUIPENTS:

    THORY:

    Three phase induction motors are most widely used in the industries .Very frequentlythese motor are called upon to operate in the unbalanced voltage supply under

    certain fault conditions. the unbalanced voltages can be resolved into their

    symmetrical components i.e. , two set of balanced voltage , one in forward direction

    and one in backward direction .if rotor slip relative to the forward field be s , it will be

    (2-s) with respect to backward field .This will give rise to two torques opposing each

    other i.e.

    And TF = I2

    R2/S

    Tb =I2b R2/ (2-S)

    The worst condition of unbalance is when the supply is out of from one of the phase if

    this happen when the motor is in operation it will continue to run but with reduced

    efficiency and power factor.

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    PRE-EXPERIMENTAL QUIZ:

    1. What do you mean by unbalancing & single phasing?

    2. With the reduction in supply voltage stator current increased why?

    3. What is the effect of unbalancing over the net electromagnetic torque?

    CIRCUIT DIAGRAM:

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    PROCEDURE:

    Make the connection as per the circuit diagram keep the variable terminal of the auto

    transformer (single phase) to the maximum position. Adjust the auto transformer to

    give a balanced three phase voltage and start the induction motor on no load with thehelp of star delta starter. Take the precaution of short circuiting the ammeter and

    current coil of the wattmeter when starting the motor.

    Give the full 400 volt balanced supply across the lines to the motor and perform the

    load test. Record the three line currents, voltage, power speed etc. in the observation

    table.

    Reduced the load to zero and then reduced the voltage one phase by single phase

    autotransformer near to about 150 volt. Load the motor gradually and take the

    observations.

    Remove the load again.

    Now disconnect one phase to give single phase operation. Take the observations.

    Again load the machine slightly under this condition & take the observations.

    OBSERVATION

    a)

    Balanced supply voltages:

    V1n= V2n= V3n= VL-L=

    Parameters At No Load At Load

    Current

    W1

    W2

    Power

    Speed

    Torque

    Efficiency

    Power Factor

    Slip

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    b)

    Unbalanced Operation:

    V1n= V2n= V3n= VL-L=

    Parameters At No Load At Load

    V1nV2n

    V3n

    I1

    I2

    I3

    W1

    W2

    Input

    Output

    EfficiencyTorque

    Speed

    Slip

    c)

    Single Phasing:

    V1n= V2n= V3n= VL-L=

    Parameters At No Load At Load

    V1n

    V2n

    V3n

    I1

    I2

    I3

    W1

    W2

    Input

    OutputEfficiency

    Torque

    Speed

    Slip

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    REPORT:

    1) For balanced operation plot the curve between-

    a) Efficiency and output

    b) Power factor and output

    c) Slip and output

    2) Explain the effect of single phasing over the machine performance.

    Derive the equivalent circuit of induction motor under unbalance and balanced supply

    voltage.

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    SGSITS-Machines Lab

    Electrical Machines-III (EE-4201)

    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    OBJECT:No load speed characteristics of Schrage motor

    SPECIFICATIONS OF THE MACHINE:

    REQUIREMENTS/EQUIPENTS

    THEROY AND PROCEDURE:

    Schrage motor is a 3-phase induction machine where speed control and

    improvement of power factor are possible by voltage injection; this emf is obtained

    from the brushes on the commutator which collect the emf at slip frequency from

    commutator winding

    Open out the slip ring side and commutator side covers of the machine and study

    the construction details of the machine and various arrangements provided

    The speed of a Schrage motor depends upon the magnitude of the injected emf,

    which can be increased by increasing the brush separation.

    Measure the no load speed of the Schrage motor the brush separation .Also measure

    the value of E, The injected emf .perform the experiment with the two possible

    arrangement of secondary connection Namely three poles parallel when D1 ,DS etc.

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    connected together &Six poles in parallel (When D1 D4&d2 d5etc. are connected

    together ) . Measure the max value of injected voltage Emax& also the secondary stand

    still emf per phase (E20). The approximate speed of motor can be given by:

    Nr =Ns(1-(EMAX/ E20) sin/2)

    PRE-EXPERIMEMENTAL QUIZE

    1 What are the other methods of speed control of induction motor?

    2 can Schrage motor run at synchronous speed?

    3 How is the desired frequency of the injected voltage achieved at all speed?

    4 what are the other methods of generating Ej for controlling the speed of induction

    motor?

    OBSERVATION FOR THREE POLES IN PARALLEL

    S .NO Injected voltage Brush separation () Observed speed Calculated

    speed

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    FOR SIX POLES IN PARALLES

    S.NO Injected voltage Brush separation () Observed speed Calculated

    speed

    REPORT:

    1

    Give the report about the connection of primary, secondary and tertiarywinding of the machine and also arrangement of the brushes on the

    commutator.

    2 Draw the speed VS brushes separation characteristics of motor in the two

    arrangements of secondary connection

    (1) From the observation.

    (2) By calculation

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    CIRCUIT DIAGRAM:

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    Equivalent circuit is the representation of the actual motor by fictitious elements forming a

    simple electrical network. Equivalent circuit so obtained is capable of giving the performance

    characteristics of the motor under various operating conditions obtained.

    The equivalent circuit can be determined by performing (a) Light running test (b) Blockedrotor test (c) DC measurement of stator resistance.

    PRE-EXPERIMENTAL QUIZ:

    1. Why single phase motors are not self-starting?

    2. What are the different methods of starting single phase Induction motor?

    3. Why is the resultant forward flux stronger than the backward flux in a single phase

    induction motor at all speeds?

    4. What is centrifugal switch?

    5. What are the theories used for the analysis of single phase motors? Indicate basic

    differences?

    CIRCUIT DIAGRAM:

    PROCEDURE:

    Connect up the circuit as shown. Perform light running test at rated voltage. Note down the

    current and the power input.

    Perform the blocked rotor test on the motor applying a reduced voltage to the main

    winding so that rated current flow through it, for this test insulate the starting winding at the

    centrifugal switch s by a piece of paper (Note the ammeter and wattmeter readings).

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    OBSERVATIONS:

    Test Voltage Current Power

    Light Running Test

    Blocked Rotor Test

    DC resistance of the stator winding ..

    REPORT:

    1. Draw the equivalent circuit referred to stator for

    (a)Light running test

    (b)

    Blocked rotor test

    2. Compute the values of various parameters from the test results and indicate them on the

    equivalent circuit for slip s.

    3. Determine for slip, s=0.05

    (a)Input current

    (b)Forward and backward components of rotor current referred to stator.

    (c)Forward and backward torques and gross motor torque in synchronous watts.

    (d)Combines Iron, friction and windage loss, and net output in watts.

    (e)

    Efficiency of the motor.4. Draw the torque-slip curve for a single phase induction motor with its forward and

    backward components.

    5. What are the approximations made while evaluating the equivalent circuit parameters?

    How are these approximations justified?

    6. How does the Efficiency of test motor compare with that of the three phase motor of

    same rating?

    While evaluating the performance from the equivalent circuit for different values of

    slip, the backward impedance need only be found for one value of slip & the same can

    be assumed constant for other normal operating values of slip. Why?

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    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    OBJECTIVES:-

    To determine the performance characteristics of a 3-phase induction generator as

    a) Grid connected induction generator

    b)

    Isolated(self-excited) induction generatorConduct power generation test on grid connected induction generator and for self-

    excited induction generator and draw

    1) Efficiency vs. power

    2) Power factor vs. power

    3) Stator current vs. power

    4) The speed vs. power curves at rated voltage and frequency

    MOTIVATION:-Over the past few decades, there has been an increasing use of squirrel cage type

    induction generators, particularly in wind energy conversion systems and micro-hydro

    power systems. The grid provides frequency and voltage regulation, as well as the

    reactive power required by the generator. Their advantages in these applications are

    that they are rugged, require less maintenance, high power/weight ratio and self short

    circuit protection and cheap. It is not essential to operate precisely at synchronous

    speed.

    THEORY:-

    The set up mainly consists of an I.M coupled with D.C.M. The three phase supply is

    given to the starter of the I.M it will start working as a motor as it is coupled with the

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    D.C.M it starts working as generator. Now with the help of a voltmeter, measure the

    voltage and check the polarity of the generated emf. Its value is made equal to the dc

    supply available.

    Now the D.C.M is connected with the supply and it starts running as a motor. At an

    instant the induction machine and the D.C.M will run as motors. They drive each other

    now the I.M crosses its synchronous speed and starts generating power to the grid and

    it draws reactive power from the grid.

    Induction machine in both of its motoring mode and generating mode draws reactive

    power for the shunt branch. Now if we remove the grid from the machine it will stop

    generating the power. As the machine is not having the reactive power supply. So by

    removing the grid and giving the external reactive power to I.M will make machine to

    generate power and this mode of operation is termed as self excited mode of

    operation and machine is called self excited machine.

    EQUIPMENTS AND COMPONENTS:-

    (a) A three phase squirrel cage induction motor coupled with separately excited dc

    motor

    (b) One AC Ammeter (0-5/10A)

    (c) One AC Voltmeter (0-500V)

    (d)

    Two Low pf wattmeter (600V,10A)

    (e) Two unity pf wattmeter (600V,10A)

    (f) Suitable dc loads (440V, 10A)

    (g) Tachometer

    DATA SHEET

    Note down the name plate details of the both machines and identify the terminals.

    Observe the constructional features. Note the type of rotor used and the winding

    connections.

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    Name Plate Details of the Machine

    Name of the manufacturer:

    Rated output:

    Rated voltage:

    Supply Frequency:

    Rated speed:

    No. of poles:

    Rated current:

    Type of rotor:

    Type of starting method:

    Ic Ic Ic

    A

    V

    STAR

    DELTA

    STARTER

    AFrequency

    meter

    R

    Y

    B

    3 PHASE

    AC

    SUPPLY

    MAIN

    SWITCH

    N

    L1

    L2

    L3

    STATOR ROTOR

    INDUCTION MACHINE

    A

    AA

    Z

    ZZ

    DC MACHINE as prime

    mover

    GRID CONNECTED

    INDUCTION

    GENERATOR

    LOAD II

    MCB

    LOAD I

    MCBML

    C

    V

    VC

    M

    MCB

    L1

    L2

    L3

    SELF EXCITED

    INDUCTION

    GENERATOR

    L M

    V C

    ML

    CV

    A

    Capacitor bank delta

    connected

    L

    A

    B

    C

    Grid connection and self excitation of an induction machine

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    PROCEDURE

    Power Generation Test

    Make the connections as shown in Fig above

    Switch on the field winding DC supply and set field current to its rated value.

    Start the dc motor using starter and set the field current up to its rated current.

    Record the speed of motor/generator set.

    Now adjust the field current and increase the speed up to synchronous speed.

    Now switch on the induction machine supply using autotransformer gradually.

    Monitor carefully the ammeter and Wattmeters readings.

    Use field voltage control for further speed increment of DC motor and tabulate

    the observations in Table. Take care about the ratings of both machines.

    OBSERVATIONS

    Winding connections for stator/rotor:

    (b) Average stator winding resistance/phase=_____ohm

    (c) Average rotor winding resistance/phase=______ohm

    Data Processing and Analysis

    a) Grid connection

    S. No V IL W1 W2 F N Vdc Idc If

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    b) Self excited below rated speed

    S. No V IC IL W1 W2 f N Vdc Idc If

    c) At rated speed

    S. No V IC IL W1 W2 f N Vdc Idc If

    d) At above rated speed

    S. No V IC IL W1 W2 f N Vdc Idc If

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    REPORT:-

    a) Plot using measured data efficiency vs. output Power

    b) Plot using measured data power factor vs. output Power

    c) Plot using measured data stator current vs. output Power

    d) Plot using measured data Efficiency vs. output Power

    e) Plot using measured data speed vs. output Power

    f) What are the advantages and disadvantage of induction machine as a

    generator?

    g)

    Draw and explain torque speed characteristics of induction generator.

    h)

    How the voltage and frequency control takes place in grid connected

    induction generator? Explain.

    i)

    Critically comment on the characteristics you obtained? j) Induction generator draws leading VAR? Justify.

    PRECAUTIONS:

    Check the direction of rotation of both machines before conducting the power

    generation test. It must be same.

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    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    OBJECT:To determine the equivalent circuit parameters and also perform the routine

    test and type test for three phase induction motors as per ISS i.e. IS 325:1996

    APPRATUS REQUIRED:

    SPECIFICATIONS:

    THEORY:-

    To know the performance of an induction motor the motor is translated in terms of an

    electrical/circuit where the power output etc are represented by the dissipation in

    some fictitious element in the circuit which is called the equivalent circuit.

    The equivalent circuit can be determined by performing:-

    (a) Light running (No load) test

    (b) Blocked rotor test and

    (c) d-c measurement of the stator resistance.

    LIGHT RUN TEST

    The no load test on an induction motor gives information with respect to

    exciting current and no-load losses. The test is performed at rated frequency andbalanced poly-phase voltages applied to the stator terminals. Readings are taken at

    the rated voltage, after the motor runs long enough for bearings to be properly

    lubricated.

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    At no load, the rotor current is only the very small value needed to produce sufficient

    torque to overcome the friction and windage losses associated with rotation. The no-

    load rotor I2R loss is, therefore, negligibly small. Unlike the continuous magnetic core

    in a transformer, the magnetizing path in an induction motor includes an air gap which

    significantly increases the required exciting current. Thus, in contrast to the case of a

    transformer, whose no-load primary I2R loss is negligible, the no-load stator I

    2R loss

    of an induction motor may be appreciable because of this larger exciting current.

    Neglecting rotor I2R losses, the rotational loss Prot for normal running conditions can be

    found by subtracting the statorI2R losses from the no-load input power.

    P = constant losses + cu losses

    Constant losses=mech. Losses + core loss

    Cu losses =..

    Mechanical losses can be separated by graphical method as given below

    Core loss

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    BLOCKED ROTOR TEST:-

    Like the short-circuit test on a transformer, the Blocked-Rotor test on an induction

    motor gives information with respect to the leakage impedances. The rotor is blocked

    so that it cannot rotate (hence the slip is equal to unity), and balanced polyphasevoltages are applied to the stator terminals.

    In some cases, the blocked-rotor torque also is measured. The equivalent circuit

    for blocked-rotor conditions is identical to that of a short circuited transformer. An

    induction motor is more complicated than a transformer, however, because its

    leakage impedance may be affected by magnetic saturation of the leakage-flux paths

    and by rotor frequency.

    The blocked-rotor impedance may also be affected by rotor position, although this

    effect generally is small with squirrel-cage rotors. The guiding principle is that the

    blocked-rotor test should be performed under conditions for which the current and

    rotor frequency are approximately the same as those in the machine at the operating

    condition for which the performance is later to be calculated. For example, if one is

    interested in the characteristics at slips near unity, as in starting, the blocked-rotor

    test should be taken at normal frequency and with currents near the values

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    encountered in starting. If, however, one is interested in normal running

    characteristics, the blocked-rotor test should be taken at a reduced voltage which

    results in approximately rated current; the frequency also should be reduced, since

    the values of rotor effective resistance and leakage inductance at the low rotor

    frequencies corresponding to small slips may differ appreciably from their values at

    normal frequency, particularly with double-cage or deep-bar rotors. The total leakage

    reactance at normal frequency can be obtained from this test value by considering the

    reactance to be proportional to frequency. The effects of frequency often are

    negligible for normal motors of less than 25-hp rating, and the blocked impedance can

    then be measured directly at normal frequency. The importance of maintaining test

    currents near their rated value stems from the fact that these leakage reactances are

    significantly affected by saturation. Based upon blocked-rotor measurements, the

    blocked-rotor reactance can be found from the blocked-rotor reactive power

    PRECAUTION:-

    In Blocked rotor test we must apply reduced voltage (10-12% of v rated) so that the

    rated current could flow.

    PROCEDURE:-

    Connect up the circuit as shown. Perform light running test at the rated voltage. Note

    down the power input and the current.

    Apply a reduced voltage across the motor so that approximately the rated current

    flows through the circuit.

    Measure the dc value of the resistance.

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    CIRCUIT DIAGRAM

    THREE PHASE

    AUTO

    TRANSFORMER

    Star/delta

    startor

    Three

    phase

    induction

    motorv

    A

    c v

    LM

    M L

    C V

    R

    Y

    B

    L1

    L2

    L3

    OBSERVATIONS:

    S. NO TEST VOLTAGE CURRENT POWER INPUT

    D-C resistance of the winding per phase =ohms

    Equivalent A-C resistance per phase =..ohms

    REPORT:

    1. Draw the equivalent circuit of the induction motor and put the values for

    various elements in the circuits.

    2. Calculate x and plot for the rated voltage line current power factor,

    efficiency, torque speed vs power output on the same graph.

    3. Draw the equivalent circuit for all load operation.

    4. Draw torque slip characteristics.

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    ROUTINE TEST AND TYPE TEST

    22.2 Test certificates

    22.2.1 Unless otherwise specified when

    inviting tenders, the purchaser, if so

    desired by manufacturer, shall accept

    manufacturers certificate as evidence

    of the compliance of the motor with

    the requirements(see 10,11,12,13 and

    17) of this standard together with a

    type test(see 22.3.1) certificate on a

    motor identical in essential details withthe one purchased, together with

    routine test certificate on each

    individual motor is supplied on one

    order, type tests, as specified, shall be

    made on one of these motors, in

    addition to the other certificates if the

    purchaser so requires.

    22.2.2 Certificates of routine tests (see

    22.3.2) shall show that the motor

    purchased has been run and has been

    found to be electrically and

    mechanically sound and in working

    order in all particulars.

    22.3 Classification of test

    22.3.1 Type tests

    The following shall constitute type

    tests:

    a) Dimensions (for motors covered

    by IS 1231:1974 and IS2223:1983 only) (see 10).

    b) Measurement of resistance of

    windings of stator and wound

    rotor.

    c)

    No load test at rated voltage to

    determine input current, power

    and speed (see 23.1).

    d) Open circuit voltage ratio of

    wound rotor motors (slip ring

    motors)(see 23.3).

    e) Reduced voltage running up test

    at no load( for squirrel cage

    motors up to 37KW only)(see

    23.2)

    f) Locked rotor readings of voltage,

    current and power input at a

    suitable reducedvoltage(see23.2)

    g) Full load test to determine

    efficiency, power factor and

    slip.(see 23.5)

    h) Temperature rise test (see14).

    i) Momentary overload test

    (see13.1).

    j)

    Insulation resistance test(see25)k) High voltage test(see 24)

    l) Test for vibration severity of

    motor(see15)

    m)Test for noise levels of

    motor(see16)

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    n) Test for degree of protection by

    enclosure(see5)

    o) Temperature rise test at limiting

    values of voltage and frequency

    variation.

    p) Over speed test(see26)

    q) Test on insulation system( see 27

    These are optional tests subject to

    mutual agreement between purchaser

    and the manufacturer.

    22.3.1.1 It is recommended that the

    reports of type tests be made in theform recommended in Annex C.

    22.3.2 Routine tests

    The following shall constitute the

    routine tests:

    a) Insulation resistance test(see25)

    b) Measurement of resistance of

    winding of stator and woundrotor.

    c) No load test(see23.1)

    d) Locked rotor readings of voltage,

    current and power input at a

    suitable reduced voltage(see

    23.4)

    e) Reduced voltage running up test

    (see23.2) (for squirrel cagemotors).

    f)

    High voltage test(see23.4)

    23 PERFORMANCE TESTS

    23.1 No load test

    The motor shall run at rated voltage

    and frequency given on the rating

    plate. The motor shall run to its normal

    speed and shall not show abnormal

    electrical or mechanical noise. The

    input power, current and speed shall be

    measured and used in the

    determination of no load losses and

    efficiency at full load.

    NOTE- in case proper facilities for

    conducting this test at rated voltage are

    not available, the method of testing

    shall be mutually agreed between the

    manufacturer and the purchaser.

    23.2 Reduced voltage running up test

    The test is applied to squirrel cage

    motors. The test is made to check the

    ability of motor to run up to its rated

    speed at no load. The motor up to

    37KW shall be supplied with reduced

    voltage 1/of rated value for each

    direction rotation. For motors above

    37KW, the voltage shall be 1/ of rated

    value or less but motor shall run only in

    the specified direction of rotation.

    23.3 Open circuit voltage ratio test for

    wound rotor (slip ring) motors

    The stator of the motor is supplied with

    rated voltage and open circuit voltage

    at the slip rings shall be determined (by

    lifting the slip ring brushes). The voltage

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    shall comply with the declared values of

    the manufacturer.

    23.4 Locked rotor test

    The tests shall be carried out in

    accordance with provision of IS

    4029:1967. The test may be carried out

    at reduced voltage. The readings of the

    input current, power and breakaway

    torque shall be determined. The values

    of breakaway torque shall be not less

    than the value given in IS 8789:1996.

    23.5 Full load test

    The motor shall be supplied with rated

    voltage and load on the shaft shall be

    adjusted such that it delivers the rated

    output.

    The value of voltage, input power,

    current and speed shall be measured.

    The efficiency determined for full load

    shall not be less than the values

    specified in IS 8789:1996. The detailed

    procedure of testing three phase

    induction motors shall be in accordance

    with IS 4029:1967.

    NOTE- In case proper facilities for

    conducting this test at rated voltage are

    not available; the method of testing

    shall be mutually agreed between the

    manufacturer and the purchaser.

    24 HIGH VOLTAGETEST

    24.1 The requirements specified in IS

    4029:1967 shall apply.

    25 INSULATION RESISTANCE TEST

    25.1 The requirements specified in 30.2

    of IS 4722:1992 shall apply.

    26 OVER SPEED TEST

    26.1 All motors shall be designed to

    withstand 1.2 times the maximum

    rated speed.

    26.2 An over speed test is not normally

    considered necessary, but may be

    performed when this is specified and

    has been agreed between the

    manufacturer and the purchaser at the

    time of the order. An over speed test

    shall be considered as satisfactory, if no

    permanent abnormal deformation is

    apparent subsequently and no other

    weakness is detected which may

    prevent the motor from operating

    normally, and provided the rotor winding

    after the test comply with the required

    high voltage test. The duration of any over

    speed test shall be two minutes.

    27 TESTS ON INSULATION SYSTEM

    NOTE- Unless otherwise specified when

    inviting tenders, the purchaser, if so

    desired by the manufacturer, shall accept

    manufacturers test certificate as evidence

    of the compliance of the motor/ insulation

    system with the requirements of the

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    following tests together with the tests

    certificate as stated in 22.2.

    27.1 Tangent delta and delta tangent delta

    test

    The requirement and method of test shall

    be as per IS 13508:1992.

    27.2 Impulse voltage withstand test

    The requirements and method of test

    should be as per IS 14222:1995

    ANNEX A

    (Clause 2.1)

    LIST OF REFFERED INDIAN STANDARDS

    900:1992- code of practice for installation and

    maintenance of induction motors

    (revised)

    996:1979- Single phase small AC and universal

    electric motors (second revision)

    1076(in parts) - Preferred numbers

    1231:1974- Dimensions of three phase foot

    mounted induction motors (third

    revision)

    1271:1985- Thermal evaluation and

    classification of electrical

    insulation(first revision)

    1885(part 35): 1973/IEC 50(411):1993-

    Electro technical vocabulary:

    rotating machinery

    2223:1983- Dimensions of flange mounted AC

    induction motors (second revision)

    2254:1985- Dimensions of vertical shift motors

    for pumps(second revision)

    3043:1987- Code of practice for earthing

    (second revision)

    3855(in parts) - Rectangular and square

    enameled copper conductors

    4029:1967- Guide for testing three phase

    induction motors

    4691:1985- Degrees of protection provided by

    enclosures for rotating electrical

    machinery (first revision)

    4722:1992- Rotating electrical machines (first

    revision)

    4728:1975- Terminal marketing and direction of

    rotation for rotating electrical

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    machinery(first revision)

    4800(part5):1968- Enameled round winding

    wires: Part 5 wires for

    elevated temperatures.

    4889:1968- Method of determination of

    efficiency of rotating electrical

    machines.

    6362:1995 IEC Pubs: 34-8:1991- Designation of

    methods of cooling for rotating

    electrical machines

    6455:1972- Single row radial ball bearings

    6457:1972- Dimensions and output ratings for

    foot mounted rotating electrical

    machines with frame numbers

    355 to 1000

    8544(in parts) -Motor starters for voltages not

    exceeding 1000V

    8789:1996- Values of performance

    characteristics for three phase

    induction motors

    12065:1987- Permissible limits of noise level for

    rotating electrical machines

    12075:1986- Mechanical vibration of rotating

    electrical machines with shaft

    heights 56mm and higher

    measurement, evaluation and

    limits of vibration severity

    12360:1988- Voltage bands for electrical

    installations including preferred

    voltages and frequency

    12661(Part1):1988-High voltage motor starter:

    Part 1 direct on line (full

    voltage) AC starters

    12802:1989- Temperature rise

    measurement of rotating electrical machines

    12824:1989- Type of duty and classes of

    Rating assigned (second revision)

    13947(Part4/Sec1):

    1993/IEC947-4-1(1990) LV Switchgear and

    control gear: Part4 contactors and motor

    starters, sec1 Electromechanical

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    ANNEX C

    FORM FORTYPE TEST REPORT OF THREE PHASE INDUCTION MOTOR

    (Clause 22.3.1.1)

    MANUFACTURER CERTIFICATE NO.

    PURCHASER

    PURCHASE ORDER NO. ORDER ACCEPTANCE NO.

    NAME PLATE DATA

    OUTPUT PHASE VOLTAGE CONNECTION FULL LOAD

    CURRENT

    FREQUENCY FULL

    LOAD

    SPEED

    FRAME DUTY INSULATION EFFICIENCY

    NOMINAL

    PERCENT

    MANUFACTURERS

    NUMBER/REFERENCE

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    TESTS

    LOAD CONNECTION LINE

    VOLTAGE

    LINE CURRENT POWER SLIP LOAD POWER FACTOR EFFICIENCY

    GUARANTEED TEST GUARANTEED TEST

    TEMPERATURE RISE TEST RUN

    HOURS RUN VOLTAGE CURRENT INPUT

    POWER

    CALCULATED

    OUTPUT POWER

    COOLING AIR(C) TEMPERATURE RISE(C)

    STATOR ROTOR

    Core Winding Core Winding

    BREAKAWAY TORQUE AND STARTING CURRENT

    VOLTAGE BREAKAWAY STARTING CURRENT TORQUE POWER

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    INSULATION RESISTANCE STATOR ROTOR

    HIGH VOLTAGE TEST

    OPEN CIRCUIT ROTOR VOLTS:

    RESISTANCE OF WINDING PER PHASE

    1) STATOR- Ohms at C

    2) ROTOR- Ohms at C

    REDUCED VOLTAGE RUNNING UP TEST:

    OVERLOAD

    A) MOMENTARY EXCESS TORQUE TEST

    B) PULL UP TORQUE

    VIBRATION SEVERITY

    NOISE LEVEL

    DEGREE OF PROTECTION BY ENCLOSURE

    TESTED BY APPROVED BY

    DATE DATE

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    1. INTRODUCTION

    The classical way of teaching electrical machinery theory to undergraduates to start

    off with the DC machines and finish with the elementary principles of operation of

    single phase motors, covering the transformer, the synchronous machine, theinduction machine and the AC commutator motors. Mostly the steady state

    operation of these machines is dealt with and the transient operation is either

    completely omitted or confined to the synchronous machine. With the result the

    student is left with the impression that each type of electrical machine is a class by

    itself having nothing in common with other types of electrical machines.

    Kron pointed out 32years ago that all electrical machines can be mathematically

    reduced to a basic two axis machine. Further work by Gibbs, Adkins, White and

    Woodson and others created interest among the academic circles in the generalized

    theory of electrical machines as a possible method of teaching electrical machinery

    theory. The important requirement in adopting the new method is to provide thephysical meaning for the various mathematical transformations employed and to

    physically show that the different types of electrical machines are simply different

    terminal conditions of one and the same physical phenomenon pertaining to the

    primitive machine of Kron. It is primary function of the generalized

    electromechanical energy converter (GEMC) to meet this requirement. After the

    advert of the GEMEC more interest is now being shown in India and abroad, in the

    teaching of generalized theory of electrical machines to undergraduates.

    The GEMEC is as yet a newcomer to them market and these are only a handful of

    manufactures in the whole world who make such machines. The PSG industrial

    institute, India is one of those few. It is not sufficient for GEMEC to operate only as a

    primitive two axis machine. It must also be able to physically simulate the various

    mathematical transformations used in the generalized theory and consequently be

    able to operate as a primitive two axis machine and as various type of machines as

    many types as possible consistent worth the manufacturing possibilities, size, cost,

    utility etc. The GEMEC made by PSG industrial institute provides facilities for such

    transformations. This manual gives a description of GEMEC manufactured by the PSG

    Industrial Institute. Some of the possible modes of operation, erection and

    maintenance instructions and connection diagrams and performance characteristics

    for certain modes of operation. The modes of operation listed in this manual aresome of the possibilities and many other modes can be devised by the user, taking

    care that the current ratings are within limits as specified under technical data. The

    machine is so designed as to give maximum accessibility for demonstration and

    maintenance purposes.

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    2. DESCRIPTION OF THE MACHINE

    The stator of the machine has 48slots accommodating 4coils of 12 slot pitch. All the

    coil ends are brought out to terminals arranged in four concentric circles on a

    terminal board for easy connection. The terminals are numbered and coils indicated.This enables the stator to be connected for different number of poles and phases.

    Single search conductors are provided in six suitably chosen stator slots so that

    search coils are provided in six suitable chosen stator slots so that search coils of

    various pitches can be arranged.

    The rotor has 36 slots accommodating a double layer closed lap winding with a coil

    pitch of 8 slots. The winding is provided with a 144 segment commutator on one side

    and slip ring tapings on the other side. There are two sets of slip rings tappings:

    One set of six symmetrical tappings and another of four.

    Two of the tapping being common to the two set. All the eight tappings are brought

    to the slip rings. A rotor search coil whose terminals are brought to two more slip

    rings is also provided.

    The commutator is equipped with a set of rocking brushed and a set of rotating

    brushes. The rocking brush set is arranged on two rings, each ring carrying 6brushes,

    equally spaced along the periphery.

    The rings can be rocked opposite to one another by bevel gear and the whole set can

    be rocked relative to the stator winding. Locking arrangement is provided for each of

    the movements. Graduated scales indicate the position of the set as a whole and the

    angular displacement between the two rings. The rotating brush set consists of four

    brushes arranged in quadrature and can be driven round the commutator in eitherdirection by an external drive. The shaft extension for coupling this external drive is

    arranged to be co-axial with the main shaft of the PSG GEMEC but independent of

    the same. The rotating brush set can also be locked in any desired position.

    Diagrammatic representation of the rocking brush set and the rotating brush set

    with terminals is provided on the panel board. Connections from the rotating brush

    set are brought through slip rings terminals on the panel board. Leads from the

    rocking brushes are brought to terminals on the brush carriage and these could be

    connected, when required, to the corresponding terminals. Diagrammatic

    representation by flexible leads provided.

    A short circuiting ring, which can be easily fitted on to the commutator, is provided.When so short circuited, the rotor behaves like a semi cage winding, responding to

    the various pole numbers that can be produced by the stator winding.

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    The nominal rating of the PSG GEMEC as a #-phase, 50 Hz, 4 pole, slip ring induction

    motor is 5.5KW at 230V per phase. The machine will however withstand appreciable

    overloads.

    A DC work machine coupled to the main shaft and a variable speed drive motor for

    rotating brushes would be required for normal use of PSG GEMEC. It is preferable tomount the DC work machine on trunnion bearings so that it could be used also as a

    swinging frame dynamometer. If desired, a shaft torque meter, a tachometer. And

    an accelerometer may also be added which would increase the versatility of the

    machine as a research unit.

    3. TECHNICAL DATA

    Nominal rotoring a 3-Phase, 4 pole, slip ring induction motor:

    Line voltage : 400V

    Frequency : 50Hz

    Output : 5.5KW

    Speed : 1440 RPM

    Line current : 12.5A

    Stator:

    Outer diameter : 344mm

    Inner diameter : 230mm

    Core length : 102mm

    Number of slots : 48

    Number of coils : 48

    Conductor size : 16SWG

    Coil pitch : 12Slots

    Conductor current : 7.5A

    Rotor:

    Number of slots : 36

    Number of commutator : 144Segments

    Winding : double layer

    Lap coil pitch : 8 slots

    Conductor current : 11A

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    Rotating and rocking brushes:

    Carbon brushes : 6mm*20mm*35mm

    Current per brush : 10A

    Maximum operating speeds

    Rotor : 3000RPM

    Rotating brushes : 2000RPM

    4. INSULATION AND MAINTENANCE

    Normally PSG GEMEC is supplied separately as shown in the cover photograph and in

    a sectional view. Because of improvements made from time to time the actual

    machine supplied may vary to some extent from these illustrations and descriptions.For the use of the machine it must be coupled to a drive motor of about 6.5KW

    rating and a brush drive motor of 1KW rating with speed control as desired. Care

    must be taken in coupling the three machines as any misalignment can damage the

    bearings of PSG GEMEC. All the commutator brushes are locked in position before

    dispatching. The rotating brushes can be released by unscrewing two radial screws

    on the outer cover. The rocking brushes can be released by unscrewing the knurled

    head screw follow the operating instructions and in any case. Do not exceed any of

    the ratings of the machine. The commutator and slip rings should be cleaned

    periodically. The bearings must be cleaned and lubricated with lithium soap based

    grease.

    Trade names: Shell Alvania grease, Shell Multipurpose Grease or Mobilux Grease)

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    OPERATION

    GENERAL

    Some of the modes in which the machine can be operated and the corresponding

    ratings are listed in appendix 1 and the connection diagrams and some of the

    operating characteristics in the form of graphs are given in appendix2. Other modes

    of operation like the induction generator, synchronous converter etc are possible

    and many more modes can be devised by the user. In all cases the following points

    may be noted:

    1. Any of the ratings specified should not be exceeded.

    2. Commuatator brushes when not in use must be lifted and the carriage locked in

    position

    INDUCTION MACHINES

    Since the entire stator coil terminals are brought out, the stator can be connected

    for various numbers of poles and 2 or 3 phase operation, the rotor may either be

    short circuited through the slip rings or the commutator may be short circuited.

    When the stator is connected for other pole numbers, the commutator has to be

    short circuited. The machine can also be operated as 2 or 4 pole, or 2 or 3-phase

    rotor fed induction machine.

    The stator can also be connected for various types of single phase operation.

    SYNCHRONOUS MACHINES

    It can be operated either as rotating armature or rotating field synchronous machine

    of different pole and phase combinations. However, it is not possible to introducethe effects of saliency, but by introducing symmetry in the field circuit, it is possible

    to introduce a difference in the reactance of the tow axes. It can be operated as a

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    synchronous converter by supplying the machine through a suitable transformer

    bank and by making use of the commutator.

    AC COMMUTATOR MACHINES

    The machine can be very easily connected as a polyphase 2pole or 4pole shunt

    commutator motor. When connecting the 2-phase operation, it will be necessary to

    use the rotating brush set, locking it a definite position. An autotransformer may be

    used to provide controlled voltage to the brushes. With this arrangement, the

    machine can operate also as a frequency converter.

    It is possible to operate the machine as a rotor fed synchronous motor as a Schrage

    motor at reduced voltage. Taking care not exceed the current rating of the statorconductor the machine can also be operated as a series commutator motor.

    Various modes of single phase operation, such as repulsion motor, repulsion start

    induction motor can also be arranged.

    DC MACHINES

    PSG GEMEC can be operated as a shunt, series, compound or separately excited DCmachine of different pole numbers. When operating for poles other than 2 or 4, care

    must be taken to carefully set and lock the rocking and rotating brush sets and to

    choose the proper brushes. It is also possible to use the machine as a DC

    transformer, a Rosenberg Generator etc. however, it is not possible to introduce

    saliency.

    UNCONVENTIONAL MODES

    Operation of the so called DC induction motor can be demonstrated by supplying

    direct current to the quadrature brushes and then rotating these by means of the

    brush carriage rotor.

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    Many other unconventional modes of operation may be devised by the user. One

    such mode of operation developed in the PSG laboratory by Charlu results in a

    variable speed adjustable PF motors. (Trans A.I.E.E., P.A.S., Vol. 78, 1959, PP 407-

    413)

    LIMITATIONS

    The coil pitch of the stator coils as 12 slots corresponding to the full pitch for 4 pole

    operation. This has been chosen so that at least for 1 pole number the winding is full

    pitched. This choice makes it impossible for the machine to operate as an 8pole

    machine.

    Another is the uniform air gap. It is not possible to introduce physical saliencynormally met with the DC machines and in some synchronous machines. As has

    already been suggested this effect can be simulated to some extent by the use of

    asymmetrical connections in the excitation circuit.

    TRANSFORMATION

    One important feature of PSG GEMEC as already pointed out, is that it can be used

    as a physical model to demonstrate the mathematical transformation of a particular

    machine to the generalized machine or of one machine to another. Particular mode

    of operation are simulated in PSG GEMEC by connecting same active conductors in

    different ways and joining them to terminals via solid leads, slip rings or commutator

    and fixed or rotating brushes. Each mode of operation is distinguished by its two

    components field patternstator and rotor field. A field pattern can be setup by the

    different components arrangements, current and voltage. Therefore currents,

    voltages and impedance of 1 type of winding (and hence machine) can be

    transformed to those of another taking into account the invariance of power.

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    SHRI G.S. INSTITUTE OF TECHNOLOGY AND SCIENCE, INDORE

    DEPARTMENT OF ELECTRICAL ENGINEERING

    ELECTRICAL MACHINE LABORATORY

    Expt. No. .. Date: .

    Remarks(If any) ... Signature of the staff member

    OBJECT: To separate the no load losses of a D.C. shunt machine.

    SPECIFICATIONS OF THE D.C. MACHINE:

    REQURIMENT/EQUIPMENTS:

    THEORY AND PROCEDURE:

    The mechanical losses (no load) of a D.C. shunt machine can be separated into

    hysteresis, eddy current, friction and windage losses by the method given below:

    Wnl = Wcore + Wfrictionand windage

    = (Whysterisis +Weddy current) + Wbrushfriction +Wbearingfriction +Wwindage

    Now, Wh B1.6

    N, and We Be N2

    Therefore at constant excitation, the total core losses are

    Wc = (KhN + KeN2)

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    Also,

    Wbrushfriction N , Wbearing friction N, and Wwindage N2

    Bearing friction loss is small as compared to the other two losses (i.e. Wbrush friction and

    Wwindage) and can be neglected.

    The total friction and windage losses are

    = (KfN + Kw N2)

    Thus the total mechanical loss can expressed as

    Wnl = (KhN + KeN2) + (KfN + Kw N

    2)

    = (Kh+ Kf).N + (Ke+ Kw) ..(1)

    Separation of loss therefore requires the determination of four constants K h, Ke, Kfand Kw.

    Let C = Kh+ Kf and D = Ke+ Kw ..(2)

    So Wnl = C.N + D.N2

    Or Wnl/N = C + D.N ..(3)

    This is a straight line equation. Hence C and D can be determined by observing Wnl

    for different values of N and then plotting (Wnl/N) against N on a graph (with Ifconstant).

    Determination of C and D will not be sufficient to calculate all four constant.

    Therefore, repeat the above test and perform at some other value of field current. The core

    loss constants will change to some other values. Hence

    C = Kh+ Kf and D = Ke+ Kw ..(4)

    Since hysteresis loss and eddy current loss is proportional to B1.6

    and B2respectively, so

    (Kh/Kh) = (B/B)1.6

    = (E/E)1.6

    & (Ke/Ke) = (B/B)2= (E/E)

    2 ..(5)

    So, C = (E/E)1.6

    Kh+ Kf and D = (E/E)2Ke+ Kf ..(6)

    Now all four constants can be calculated from the equation excitation constant (2) and (6).

    Make the connection as shown in the circuit diagram. Keeping excitation constant,

    for all observation, note down the voltage and armature current at different speed of

    motor. Speed variation should be obtained by varying the voltage across the armature.

    Repeat the same procedure with some other value of excitation. Measure the armature

    resistance.

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    PRE EXPERIMENTAL QUESTIONS:

    1. What are friction, windage and iron loss? Why and where do they occur?

    2. What are the effects of excitation, speed and load on the friction & iron losses?

    3. How iron losses are related to the input voltage and speed?

    4.

    Is it necessary to have armature of a D.C. machine laminated?

    5. Is it necessary to have field also laminated?

    CIRCUIT DIAGRAM:

    DC shunt machine

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    OBSERVATION:

    Armature resistance, Ra = . Field current, If= .

    Speed

    Va

    Ia

    I2

    a.Ra

    Wnl

    Wnl/N

    E at speed .. RPM = .. Volts

    Armature resistance, Ra = . Field current, If= .

    Speed

    Va

    Ia

    I2

    a.Ra

    Wnl

    Wnl/N

    E at speed .. RPM = .. Volts

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    REPORT:

    1. Calculate all the four constants. Give all calculations.

    2. Calculate the constituents of no load losses at the rated speed.

    3. What are the pole face losses? Are these caused by hysteresis and eddy currents or

    both?

    4. What are alternating and rotational hysteresis losses? Differentiate between them?

    Is it possible to separate friction and iron losses by making a single plot of input power with

    exciting current at a constant speed? Suggest procedure?