Curso de Maquina asincrona

64
Course "EEM 41 Three-phase asynchronous machines" Photo: ABB Group SH5007-1D Version 1.0 Author: M.Germeroth Lucas-Nülle GmbH · Siemensstraße 2 · D-50170 Kerpen (Sindorf) Tel.: +49 2273 567-0 www.lucas - nuelle.de Copyright © 2006 LUCAS-NÜLLE GmbH. All rights reserved. LUCAS-NÜLLE Lehr- und Messgeräte GmbH Siemensstraße 2 D-50170 Kerpen

description

Analisis matematico y modelamiento de la maquina sincrona.

Transcript of Curso de Maquina asincrona

  • Course "EEM 41 Three-phase asynchronous machines"

    Photo: ABB Group

    SH5007-1D Version 1.0

    Author: M.Germeroth

    Lucas-Nlle GmbH Siemensstrae 2 D-50170 Kerpen (Sindorf) Tel.: +49 2273 567-0

    www.lucas-nuelle.de

    Copyright 2006 LUCAS-NLLE GmbH.

    All rights reserved.

    LUCAS-NLLE Lehr- und Messgerte GmbH

    Siemensstrae 2 D-50170 Kerpen

  • EEM41 Three-phase asynchronous machines

    Training objectives 1Equipment: 300 W Industrial Series 2Safety 3Asynchronous motor 5

    Connection and starting 7Rotation reversal 17Load characteristics 23Reactive compensation 31

    Asynchronous motor, Steinmetz circuit 43Connection and starting 45Load characteristics 51

    Copyright 57

  • EEM41 Three-phase asynchronous machines

  • EEM41 Three-phase asynchronous machines Training objectives

    This course is designed to convey practical know-how on the topic of three-phase asynchronous machines. Experiment-based investigations of the asynchronous motor are the focus and cover the functioning of the machine, its response and how it operates.

    Training contents

    z Motor operation z Nominal data, rating plate z Star cnnection, delta connnection z Star/delta switches z Steinmetz circuit (300W series) z Reactive power compensation z Measurement of phase-to-phase and line-to-line values z Reversal of rotation z Measurement of power output with and without oad

    Prerequisites

    z Basic knowledge of electrical machines z Basic knowledge of electrical engineering z Knowledge of using measuring instruments

    Welcome to the Three-phase Asynchronous Machine course. The team from LUCAS-NLLE wishes you lots of fun and success while working through the course topics and performing the experiments. The following pages provide you with an overview of the course content and the required materials.

    1

  • EEM41 Three-phase asynchronous machinesEquipment: 300 W Industrial Series

    SO3636-6U Active machine test stand 300 W 1 each SE2662-2A Coupling sleeve 300 W 1 each SE2662-7B Coupling guard 300 W 1 each

    SE2672-3G Three-phase motor with squirrel-cage rotor 300 W 1 each

    SO3212-1W On/off switch 4-pole 1 each SO3212-2D Star-delta switch 1 each SO3212-5U Power supply for electrical machines 1 each

    SO5127-1Z Analog/digital multimeter, power meter and power factor meter 1 each

    SO3212-6E Compensation unit 1 each

    SO5148-1F Set of safety connecting leads 4 mm (47 each) 1 each

    SO5126-9X Set of safety connection plugs 19/4 mm (15 each) 15 x

    SO5126-9Z Set of safety connection plugs 19/4 mm with tap (5 each) 5 x

    2

  • EEM41 Three-phase asynchronous machines Safety

    Basic safety instructions

    In all experiments using mains voltages high, life-threatening voltages arise. For that reason use only safety measurement leads and make sure that there are no short-circuits.

    It is imperative that all of the devices, which are provided with an earth or where earthing is possible, must be earthed. This is particularly the case for the frequency converter being used.

    Always be very careful to check the wiring of the application modules and only switch on the mains voltage after a check has been completed. Whenever possible use a robust current monitoring instrument in the circuit.

    Always use shaft-end guards and coupling guards as protection against contact with rotating motor parts

    All locally applicable stipulations and standards governing how electrical equipment is handled must be complied with.

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  • EEM41 Three-phase asynchronous machinesSafety

    General instructions on handling the equipment

    { Check that the knurled screws at the base of the motor and the coupling sleeves (power grip) on the motor shaft are all securely fastened.

    { Use shaft and coupling guards. { Any prolonged running of the machines when operating under high loads

    can subject the machines to excessive heating. { The extreme case of the machine being prevented from rotating entirely

    may only arise briefly. { All of the machines are equipped with a thermal circuit-breaker, which

    triggers when the maximum permissible operating temperature is exceeded. These switching contacts are accessible on the terminal board and must always be connected to the corresponding connection sockets of the mains supply and control unit.

    { All measurements have been recorded using conventional measuring instruments (primarily class 1.5) at the standard mains voltage (230/400V +5% -10% 50Hz) using standard production machines. Experience suggests that measurements will lie within the tolerance range of +/-15% with respect to the specified measurement. For more information on this please refer to VDE0530.

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Asynchronous motors

    z Connection and starting z Rotation reversal z Load characteristics z Dynamic load experiments (Classic series only ) z Reactive power compensation

    On the subsequent pages you will be performing the following exercises on the "asynchronous motor":

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    6

  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Enter the nominal data for the asynchronous machine

    What is the maximum permissible voltage of the motor winding (phase voltage)?

    Training content: Connection and starting

    z Identify the terminal connections of the motor and operate the motor as a three-phase asynchronous motor on a three-phase mains network

    z Utilise the nominal data of the motor based on the rating plate z Measure the phase voltage and phase current z Put the motor into operation in star and delta configurations z Identify the differences between star and delta connections z Understand the function of adelta switch z Put the motor into operation with the brake z Subject the motor to load

    Nominal power ____WUN star circuit connection ____VUN delta circuit connection ____VIN star circuit connection ____AIN delta circuit connection ____Acos ____Speed ____rpmFrequency ____Hz

    Uphase= ____V

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Assembly instructions: "Connection and starting"

    More detailed information on the brake can be found in the corresponding online documentation

    Circuit diagram "connection & starting" (star configuration)

    z Assemble the circuits as specified in the following circuit diagram and

    set-up instructions z Switch on the brake too. This does not yet subject the motor to any load

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Set-up "Connection & starting" (star configuration)

    Putting the asynchronous motor into operation in star configuration

    Required settings:

    z Brake mode: "Torque Control"

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Experiment procedure:

    z Put the motor into operation and observe its response z Brake the motor down to its nominal speed z At the same time measure the phase variables Uphase and Iphase

    Make sure that the ammeter and voltmeters have been connected properly

    What do you measure the phase variables Uphase and Iphase to be?

    Uphase= ____VIphase= ____A

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Circuit diagram "Connection & starting" (delta connection)

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Set-up "Connection & starting" (delta connection)

    Putting the asynchronous motor into operation in delta configuration

    Required settings:

    z Brake mode: "Torque Control"

    Experiment procedure:

    z Put the motor into operation and observe its response z Brake the motor down to its nominal speed z At the same time measure the phase variables Uphase and Iphase

    Make sure that the ammeter and voltmeters have been connected correctly

    12

  • EEM41 Three-phase asynchronous machines Asynchronous motor

    What do you measure the phase variables Uphase and Iphase to be?

    Circuit diagram "Connection & starting" (star and delta switch)

    Uphase= ____VIphase= ____A

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Set-up "Connection and starting" (star and delta switch)

    Putting the asynchronous motor into operation with a star/delta switch and recording the load characteristics

    Required setting:

    z Brake mode: "Torque mode"

    Experiment procedure:

    z One load characteristic each is to be recorded for the star and delta circuits z Subject the motor to the load torques as given in the table z Enter the measured values (M, n, Uphase, Iphase) into the tables

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Table1 (star connection)

    Table2 (delta connection)

    M/Nm 0 0.1 0.3 0.5 0.7 0.9n/(1/min)

    Ustr/VIstr/A

    0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2M/Nm

    0200400600800

    10001200140016001800200022002400260028003000

    n/(1

    /min

    )

    0

    50

    100

    150

    200

    250

    Ust

    r

    0.00.10.20.30.40.50.60.70.80.91.01.11.21.31.41.5

    Istr

    M/Nm 0 0.5 1 1.5 2 2.5n/(1/min)

    Ustr/VIstr/A

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0M/Nm

    0200400600800

    10001200140016001800200022002400260028003000

    n/(1

    /min

    )

    0

    50

    100

    150

    200

    250

    300

    350

    400

    Ust

    r

    0.0

    0.3

    0.6

    0.9

    1.2

    1.5

    1.8

    2.1

    2.4

    2.7

    3.0

    Istr

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Which of the statements below are true?

    gfedc The maximum torque of the motor is identical for both circuit types gfedc In star configuration the phase current is lower gfedc A delta connection offers the better speed/torque

    ratio as compared to a star circuit gfedc The starting current is generally lower for the star

    connection than delta configuration gfedc The star/delta switch has practically no significance

    at all gfedc The star/delta switch permits the motor to start "more

    smoothly" gfedc In practice asynchronous motors are operated only in

    star configuration

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Definition of rotation direction If you look at the drive shaft end of the asynchronous machine from the perspective of the working machine (in our case the brake), the rotating direction is positive when it is clockwise. If the motor has two workable shaft ends, then it is the shaft end opposite the cooling vents, collector or slip-rings that is the shaft end which defines the rotation direction.

    Note: in the "Classic series" (0.3 KW & 1.0 KW) the rotation direction is determined by the rotation direction of the brake, i.e. if the asynchronous machine rotates clockwise, i.e. in the positive direction, the control unit of the brake indicates a negative rotation direction. Thus the rotation direction displayed is always that of the brake.

    Training content: "Rotation reversal"

    z Identify the difference between clockwise and anti-clockwise rotation

    z Put the motor into operation in both rotation directions

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Assembly instructions: "Rotation reversal"

    More detailed information on the brake can be found in the corresponding online documentation

    Circuit diagram "Rotation reversal" (star/delta switch)

    z Assemble the circuits as specified in the circuit diagrams and set-up

    instructions below. z Switch on the brake too. This does not yet subject the motor to any load.

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Set-up for "rotation reversal" (star/delta switch)

    Rotation reversal

    Experiment procedure:

    z Switch on the motor and observe how it responds

    What is the motor's direction of rotation?

    nmlkj The motor rotates clockwise nmlkj The motor rotates anti-clockwise

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    z Switch the motor off and modify the circuit according to the following circuit diagram

    z Turn the motor back on and observe its response again

    Circuit diagram "Rotation Reversal" (star-delta switch)

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    What is the motor's direction of rotation

    How can the rotation direction of the three-phase asynchronous machine be reversed?

    nmlkj The motor rotates clockwise nmlkj The motor rotates anti-clockwise

    nmlkj Interchanging any two phase lines nmlkj Only by exchanging phase lines L2 & L3

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Assembly instructions: "Load characteristics"

    More detailed information on the brake and the software used can be found in the appropriate online documentation

    Training contents: "Load characteristics"

    z Record the load characteristics of the motor z Determine the nominal torque z Determine the highest degree of efficiency z Study how the motor responds to loads

    z Assemble the circuits as specified in the following circuit diagram and

    set-up instructions. z Switch the brake on too. This does not yet subject the motor to any load.

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Circuit diagram "Load characteristics" (star-delta switch)

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Set-up "Load characteristics" (star-delta switch)

    Recording the motor's load characteristics with the aid of the "ActiveDrive/ ActiveASMA" software

    Required settings:

    z Brake: { Industrial series: "PC mode" { Classic series: "Application mode" ( Note: when starting the

    "ActiveASMA" software you will be prompted to select "Application mode")

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Experiment procedure:

    z Start the "ActiveDrive/ActiveASMA" software z Select the operating mode "automatic speed control" z Apply the brake to the motor in 20 discrete steps until the motor ceases

    to turn ( Note: in the "ActiveDrive / ActiveASMA" software enter the corresponding number of steps before this occurs under "Settings" -> "Presets" -> "Ramp")

    z The load characteristics of the asynchronous motor are to be recorded for both star as well as delta connection

    z Begin with a star connection z For each operating mode two graphs are plotted z Label and scale the graphs as shown in the place holders below z The following parameters are to be recorded:

    { In the first graph: Torque M(n) Slip s(n) ( Note: in the "ActiveDrive / ActiveASMA" software

    enter the corresponding number of steps before this occurs under "Settings" -> "Presets" -> "Machine")

    { In the second graph: Mechanical power P2(n) Power factor cos(n) Efficiency (n)

    z After completing the measurement, export the plotted graph and copy it in place of the placeholder below

    z Determine the the highest possible efficiency (n) for each operating mode based on the second graph

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Placeholder for the load graph (star connection); M(n); s(n)

    Placeholder for load graph (star connection);

    P2(n); cos(n) ;(n) ( => "eta")

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Placeholder for load graph (delta connection); M(n); s(n)

    Placeholder for load graph (delta connection); P2(n);cos (n); (n) ( => "eta")

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    What is the efficiency of the asynchronous machine in star configuration at nominal speed?

    What is the torque of the asynchronous machine at nominal speed in star configuration?

    What is the efficiency of the asynchronous machine in delta configuration at nominal speed?

    What is the torque of the asynchronous machine at nominal speed in delta configuration?

    = ____%

    MN = ____Nm

    = ____%

    MN = ____Nm

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Assembly instructions: "Reactive power compensation"

    More detailed information regarding the brake can be found in the corresponding

    online documentation

    Training content: "Reactive power compensation"

    z Understand the purpose of reactive power compensation z Recognise the influence of the connection configuration (Y- or

    configuration) and the effect of the capacitance on reactive power compensation

    z Assemble the circuits as specified in the following circuit diagrams and

    set-up instructions. z Switch on the brake too. This does not yet subject the motor to any load.

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Circuit diagram "Reactive power compensation" (star connection with compensation)

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  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Set-up "Reactive power compensation" (star connection with compensation 0.5 F)

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Set-up "Reactive power compensation" (star connection with compensation 1.0 F)

    Recording a load characteristic for the motor in star configuration with compensation (0.5/1.0 F) using the "ActiveDrive/ActiveASMA" software

    Required settings:

    z Industrial series: "PC mode" z Classic series: "Application mode" ( Note: when starting the software

    "ActiveASMA" you will be prompted to select "Application mode")

    34

  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Experiment procedure:

    z Start the "ActiveDrive/ActiveASMA" software z Select "Automatic speed control" operating mode z The brake should be applied to the motor in 20 steps until the motor can no

    longer rotate ( Note: enter the corresponding number of steps in the "ActiveDrive/ActiveASMA" software under the "Settings" -> "Presets" -> "Ramp")

    z Record a load characteristic for the asynchronous motor in star configuration with various reactive power compensation levels

    z Begin with a compensation of 0.5 F z A separate graph is to be plotted for each compensation z Label the graphs as in the placeholders below z The following parameters are to be recorded:

    { Apparent power S(n) { Active power P1(n) { Reactive power Q(n) { Power factor cos (n)

    z After completing the measurements the graphs plotted should be exported and copied into the appropriate placeholders below

    Placeholder for load graph; compensation 0.5 F

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Placeholder for load graph; compensation 1.0 F

    36

  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Circuit diagram "Reactive power compensation" (delta connection with compensation)

    37

  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Set-up "Reactive compensation" (Delta connection with compensation 0.5 F)

    38

  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Set-up "Reactive power compensation" (delta connection with compensation 1.0 F)

    Recording a load characteristic for the motor in delta configuration with compensation (0.5/1.0 F) using the "ActiveDrive/ActiveASMA" software

    Required settings:

    z Brake: { Industrial series: "PC mode" { Classic series: "Application mode" ( Note: when starting the

    "ActiveASMA" software you will be prompted to select "Application mode")

    39

  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    Experiment procedure:

    z Start the "ActiveDrive/ActiveASMA" software z Select "Automatic speed control" operating mode z The brake is to be applied to the motor in 20 discrete steps until the motor is

    no longer able to rotate ( Note: enter the corresponding number of steps it takes for this to occur into "ActiveDrive/ActiveASMA" under "Settings" -> "Presets" -> "Ramp")

    z Record a load characteristic for the asynchronous motor in delta configuration with various reactive power compensation levels

    z Begin with a compensation level of 0.5 F z For each compensation level a separate graph is to be plotted z Label the graphs as shown in the placeholders below z The following parameters should be recorded:

    { Apparent power S(n) { Active power P1(n) { Reactive power Q(n) { Power factor cos (n)

    z After completing the plots export the graphs and copy them into the corresponding placeholders below

    Placeholder for load graph; compensation 0.5 F

    40

  • EEM41 Three-phase asynchronous machines Asynchronous motor

    Placeholder for load graphs; compensation 1.0 F

    For which connection type is a higher reactive power compensation achieved?

    What effect does the capacitance of the capacitors have on the performance?

    nmlkj Star connection nmlkj Delta connection

    gfedc None gfedc When the capacitors are too large the capacitive

    reactive power is tapped from the mains gfedc An oversized capacitor reduces the capacitive load

    on the mains and for that reason tends to be desirable gfedc In general the following holds true: the lower the

    capacitance of the capacitors, the worse the reactive power compensation

    More than one answer may be correct

    41

  • EEM41 Three-phase asynchronous machinesAsynchronous motor

    42

  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Asynchronous motor, Steinmetz circuit

    z Connection and starting z Load characteristics

    On the subsequent pages you will be performing the following exercises on the asynchronous motor with a Steinmetz circuit:

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    44

  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Assembly instructions: "Connection and starting"

    More detailed information regarding the brake and the software can be found in

    the appropriate online documentation

    Training contents: "Connection and starting"

    z Identify the motor terminals and operate the three-phase asynchronous motor using the Steinmetz circuit from a single-conductor mains (AC power mains)

    z Measure the phase voltage and the phase current z Examine the attributes of the Steinmetz circuit with various

    operating capacitors (capacitances) z Put the motor into operation with the brake z Subject the motor to loads

    z Assemble the circuits as specified in the following circuit diagrams and

    set-up instructions. z Switch on the brake too. This does not yet subject the motor to any load.

    45

  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    Circuit diagram "Connection and starting" (Steinmetz circuit)

    46

  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Set-up "Connection and starting" (Steinmetz circuit, CB = 6F)

    Putting the three-phase asynchronous motor into operation on the AC mains with the aid of an operating capacitor (CB=6F)

    Required settings:

    z Brake mode: "Torque control"

    Experiment procedure:

    z Put the motor into operation and observe how it responds z Apply the brake to the motor until the motor reaches the nominal speed z At the same time measure the phase winding voltage and

    current variables Uphase, Iphase and the required braking torque MBrake

    Make sure that the ammeter and voltmeter are connected correctly

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  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    Enter your measurements

    Set-up "Connection and starting" (Steinmetz circuit, CB = 3F)

    Uphase = ____VIphase = ____AMBrake = ____Nm

    z Now reduce the capacitance of the operating capacitor by modifying the

    set-up as shown below.

    48

  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Experiment procedure:

    z Put the motor back into operation and observe how it responds

    How does the motor respond?

    Which of the following statements are true?

    nmlkj There is a severe delay before the motor starts to rotate nmlkj The motor does not start

    gfedc Due to the lower capacitance of the operating capacitor, sufficient current cannot be induced and for that reason the motor does not start gfedc The size of the operating capacitor is irrelevant to the

    starting response of the motor gfedc The greater the capacitance the higher the starting

    torque gfedc Of course the size of the capacitor determines the

    rotation direction of the asynchronous motor gfedc The torque of the three-phase motor connected to an

    AC mains is considerably lower than one connected to a three-phase mains

    More than one answer may be correct

    49

  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    50

  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Assembly instructions: "Load characteristics"

    More detailed information on the brake and the software can be found in the appropriate online documentation

    Training contents: "Load characteristics"

    z Record the load characteristics of the motor z Compute the nominal torque z Determine the highest degree of efficiency z Study how the motor responds to loads

    z Assemble the circuits according to the following circuit diagram and set-

    up instructions. z Switch on the brake too. This does not yet subject the motor to any load.

    51

  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    Circuit diagram "Load characteristics" (Steinmetz circuit)

    52

  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Set-up "Load characteristics " (Steinmetz circuit, CB = 6F)

    53

  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    Required settings:

    z Brake: "PC mode" or "Application mode" ( Note: when starting the "ActiveASMA" software you will be prompted to select "Application mode")

    Experiment procedure:

    z Start the "ActiveDrive/ActiveASMA" software z Select "Automatic speed control" operating mode z The brake is applied to the motor in 20 discrete steps until a speed of 1200

    rpms is reached ( Note: enter the corresponding number of steps it takes to achieve this in the "ActiveDrive/ActiveASMA" software under "Settings" -> "Presets" -> "Ramp".)

    z Record load characteristics for the asynchronous motor on an AC mains z A total of two graphs are to be recorded z Label and scale the graphs as in the appropriate placeholders shown below z The following parameters are to be recorded:

    { In the first graph: Torque M(n) Degree of efficiency (n)

    { In the second graph: Mechanical power P2(n) Apparent power S(n) Active power P1(n) Reactive power Q(n)

    z After completing the measurement export the plotted graphs and copy them into the appropriate placeholders below

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  • EEM41 Three-phase asynchronous machines Asynchronous motor, Steinmetz circuit

    Placeholder for load graph; M(n); (n) ( => "eta")

    Placeholder for load graph; P2(n); S(n); P1(n); Q(n)

    55

  • EEM41 Three-phase asynchronous machinesAsynchronous motor, Steinmetz circuit

    Based on the first graph determine the efficiency for the nominal speed

    = ____%

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  • EEM41 Three-phase asynchronous machines Copyright

    Copyright 2004-2006 LUCAS-NLLE GmbH.

    This course "EEM 41 Three-phase asynchronous machines" is protected by copyright. All rights pertaining thereto are reserved. Any reproduction of the document as a file or in written form be it photocopy, microfilm or any other method or conversion into a machine-compatible language, in particular for data processing systems, without the expressed written approval of the LUCAS-NLLE GmbH is strictly forbidden.

    The software as described above is made available on the basis of a general licensing agreement or in the form of a single license. The use or reproduction of the software is only permitted in strict compliance with the contractual terms stated therein.

    If changes have been performed in a manner which was not strictly authorised by the LUCAS-NLLE GmbH, any product liability or warranty claims pertaining thereto are null and void.

    Congratulations! This is the last page. You have completed the course "EEM41 Three-phase asynchronous machines".

    57

  • 16

    Lucas-Nlle Lehr- und Megerte GmbHSiemensstrae 2 D-50170 Kerpen-Sindorf

    Telefon +49 2273567-0 Fax +49 2273567-30

    www.lucas-nuelle.de

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