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Commissioning Of A Doubly Fed Induction Generator by John McDonagh This Report is submitted in partial fulfilment of the requirements of the Honours Degree in Electrical and Electronic Engineering (DT021) of the Dublin Institute of Technology June, 2 nd , 2010 Supervisor: Joseph Kearney

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  • Commissioning Of A Doubly Fed Induction Generator

    by

    John McDonagh

    This Report is submitted in partial fulfilment of the requirements of the Honours Degree in Electrical and Electronic Engineering (DT021) of the Dublin Institute of Technology

    June, 2nd, 2010

    Supervisor: Joseph Kearney

  • II

    DECLARATION

    I, the undersigned, declare that this report is entirely my own written work, except where otherwise accredited, and that it has not been submitted for a degree at any other university or institution. Signed: _____________________________ Date: ________________

  • III

    Acknowledgement

    The author would like to this opportunity to thank Joseph Kearney, project supervisor,

    for presenting the opportunity to carry out project work on his research topic for

    advancing in his academic career and also for his assistance and help throughout the

    duration of the project Thanks to the laboratory technical officer, Terrance Kelly for his

    time and help. Special thanks to Elizabeth Hendrick, John Byrne and Iain Hendrick for

    proof reading the following report.

  • IV

    Abstract

    Doubly Fed Induction Generators (DFIG) today are the single most used generators in

    wind turbine systems, with some globally recognised manufacturers such as Vestas and

    GE utilising these generators. Key features of the DFIG include those of being able to

    operate below, above and through synchronous speeds. As well as this there are less

    electrical losses in the power electronics circuits.

    The following documentation covers various elements such as wind turbine systems that

    have been used in the past and the present day, including theory of Doubly Fed

    Induction Generators. Also covered are explanations of components used throughout

    the DFIG including signal conditioning circuits, current transducer, voltage transducers,

    incremental shaft encoders and back to back pulse width modulated convertors with full

    commissioning reports.

    Attached with this report is a log book and design file covering stages of research, design,

    implementation and testing of equipment.

  • V

    Table of Contents Introduction....................................................................................................................1

    1. Wind Turbine Systems ................................................................................................2

    1.1 Fixed Speed Wind Turbines...................................................................................3 1.2 Variable Speed Wind Turbine ................................................................................3

    1.3 Variable Speed Wind Turbines with Doubly Fed induction Generator ..................5

    2. Doubly Fed Induction Generators for Wind Turbines ................................................6 2.1 Equivalent circuit of the Doubly Fed Induction Generator....................................8

    3. Space Vectors Theory................................................................................................10

    3.1 Clarke and Park Transformations ........................................................................10 3.2 Mathematical Model of Clarke Transform ...........................................................11

    3.3 Mathematical Model of Park Transform ..............................................................11

    3.4 Inverse Mathematical Models of Clarke and Park Transforms .............................11 3.5 Space Vector Modulation ....................................................................................12

    4. System Hardware and Digital Control .......................................................................14

    4.1 Texas Instruments eZdsp TMS320F2812 Microprocessor ...................................15 4.2 Scherbius Drive ...................................................................................................15

    4.2.1 Rotor side converter .....................................................................................15

    4.2.2 Grid side converter .......................................................................................16 4.3 Current Transducer .............................................................................................17

    4.4 Voltage Transducer .............................................................................................18

    4.5 Signal Conditioning .............................................................................................20 5. Acquisition of Analogue Variables.............................................................................21

    6. Incremental Shaft Encoder........................................................................................23

    7. Test Results ...............................................................................................................25

    7.1 Commissioning of Current Transducers ..............................................................26 7.2 Commissioning of Voltage Transducers ..............................................................27

    7.3 Commissioning of Incremental Shaft Encoder ....................................................27

    7.3.1 Comments on Incremental Shaft Encoder ....................................................28 7.4 Commissioning of Rotor Side IGBTs .................................................................28

    7.4.1 Comments on Rotor Side IGBTs.................................................................29

    7.5 Commissioning of Grid Side IGBTs...................................................................29 7.5.1 Comments on Gide Side IGBTs ..................................................................29

    8. Conclusion and recommendations.............................................................................31

    Appendix A - Nomenclature .........................................................................................32 Appendix B Current & Voltage Transducer Test Results............................................33

    Appendix C Commissioning Checklists......................................................................34

    Appendix D Hall Effect .............................................................................................43 Appendix E Voltage and Current Transducer Datasheet ............................................44

    Appendix E Wiring Diagram And Cable Schedule .....................................................51

    Reference: .....................................................................................................................79

  • 1

    Introduction

    The Doubly Fed Induction Generators (DFIG) has long been established in wind

    turbines (WTs). The large investment of two nations, Germany and USA, saw the

    growth of the DFIG in multi-megawatt wind turbines as result of the oil price crisis in

    the 1970s [1].

    The DFIG uses AC-AC converters (also known as a Scherbius drive) in the rotor circuit.

    This configuration has become a standard option for high power applications. The major

    advantage that a DFIG has is that the power electronics circuit only has to handle a

    fractional amount (20% - 30%) of the total system power, it can also operate at sub-

    synchronous speeds. This means that the losses in the power electronic equipment can

    be reduced in comparison to power electronic equipment that has to handle total system

    power. Thus the power converters need only be rated to handle power on the rotor side

    of the machine.

    The DFIG test bench described in this project uses back-to-back pulse width modulated

    (PWM) converters connected between the rotor and the grid. Both a DC-link and

    cycloconverter are used in the rotor circuit. The test bench also incorporates a

    functional hardware board. The hardware board used is Texas Instruments DSP

    TMS320F2812. The board is used to handle and measure signals such as currents and

    voltages. The PWM pattern and control signal to the IGBT drives are generated by the

    board.

  • Chapter 1 Wind turbine systems

    2

    1. Wind Turbine Systems

    Wind turbines (WT) can operate with either fixed speed drives or variable speed drives.

    For a fixed speed WT, the generator is directly connected to the grid. Since the speed is

    almost fixed to the grid frequency and is not controllable, it is not possible to store the

    turbulence of the wind in the form of rotational energy. Thus, for a fixed speed system

    the turbulence of the wind will give power variations and therefore affect the power

    quality of the grid.

    A variable speed generator is controlled by power electronic equipment and this makes it

    possible to control the rotor speed. This way the power fluctuations caused by wind

    speed variations can be more or less absorbed by changing the rotor speed and power

    variations originating from the wind conversion so that the drive train can be reduced.

    The power quality issues caused by the wind turbine can therefore be improved

    compared to a fixed speed turbine.

    The rotational speed of wind turbines is fairly low and as a result must be adjusted to

    match the electrical frequency. This can achieved in two ways; (1) with a gearbox or (2)

    with the number of pole pairs in the generator. The number of pole pairs defines the

    mechanical speed of the generator with respect to the electrical frequency. Similarly the

    gearbox adjusts the rotor speed of the turbine to the mechanical speed of the generator.

    This section will cover the following wind turbine systems;

    1. Fixed speed wind turbines

    2. Variable speed wind turbines

    3. Variable speed wind turbines with doubly fed induction generator

  • Chapter 1 Wind turbine systems

    3

    1.1 Fixed Speed Wind Turbines

    Fixed speed wind turbines consist of a directly grid connected squirrel cage induction

    machine (SCIM), the rotor of which is connected to the turbine shaft through a gearbox.

    Whether the turbine is acting as a motor or as a generator the SCIM consumes reactive

    power from the grid therefore a capacitor bank is connected at the SCIM terminal for

    reactive power compensation. This can be seen in figure 1.

    Gearbox SCIM

    Transformer

    Capacitor Bank

    To 50 Hz AC Grid

    Figure 1.1 Fixed speed wind turbine with SCIM

    There a few variations of this wind turbine type. The variations consist of having two

    fixed speeds which is accomplished by having two generators with different ratings and

    pole pairs. Alternatively it can be a generator with two windings having different ratings

    and pole pairs. These configurations were the most popular wind turbine types

    manufactured in the 1990s.

    1.2 Variable Speed Wind Turbine

    The configuration of the wind turbine in figure 2 is equipped with a Scherbius drive

    connected to the stator. This variation of wind turbine can either have an induction or

    synchronous generator.

  • Chapter 1 Wind turbine systems

    4

    Gearbox G

    Transformer

    To 50 Hz AC Grid

    =

    =

    Power Electronics Converter

    Figure 1.2 Variable speed WT with either induction or synchronous generator

    The design of the gearbox is to correspond to the rated speed of the generator at

    maximum rotor speed. Synchronous generators or permanent magnet synchronous

    generators can be designed to have multiple poles which would imply that there is no

    need for a gearbox. Figure 3 shows the configuration of this system. The configuration in

    both cases takes total system power across the power electronic converters which

    increase losses, however, this system is well developed and has robust control techniques

    and is commonly used throughout other applications.

    Figure 1.3 Gear-less variable speed WT with synchronous generator

  • Chapter 1 Wind turbine systems

    5

    1.3 Variable Speed Wind Turbines with Doubly Fed induction Generator

    The configuration below (figure 4) consists of a WT with a doubly fed induction

    generator i.e. the stator is directly connected to the grid and the rotor windings are

    connected via slip rings to the Scherbius drive.

    Gearbox DFIG

    Transformer

    =

    =

    To 50 Hz AC Grid

    Figure 1.4 Variable speed WT with DFIG

    As the Scherbius drive is connected to the rotor it only has to handle approximately 20

    30% of the total system power compared to that of a system which has to deal with total

    system power which can be seen in 1.2 Variable Speed Wind Turbines. Also in addition to

    this, the costing of the converter becomes lesser as it need only be rated to handle power

    on the rotor side of the machine.

    The DFIG over the past few years has increased in popularity among wind turbine

    systems and is becoming an industry standard for wind turbine generators. To date

    manufacturers such as Vestas, Nordex and GE Wind Energy are producing doubly fed

    induction machines as generators.

  • Chapter 2 DFIG For Wind Turbines

    6

    2. Doubly Fed Induction Generators for Wind Turbines

    A variable speed system with a limited variable speed range i.e. 30% of synchronous

    speed, the DFIG is an attractive solution. As mentioned in Chapter 1 the reason for this

    is that the power electronics converter on the rotor side of the machine only has to

    handle approximately 20 30% of the total system power. This means that the losses in

    the power electronic equipment are reduced compared to systems which have to deal

    with total system power through the power electronic equipment. The stator side of the

    DFIG is connected to the grid whilst the rotor is connected to the Scherbius drive

    through slip rings. Figure 2.1 shows this configuration.

    Figure 2.1 Principle configuration of DFIG

    A more detailed image of the DFIG can be seen in figure 2.2 with the back-to-back

    converters shown. The back-to-back converters are equipped with two converters

    connected back-to-back i.e. a machine side converter and a grid side converter.

    Between the two converters, a DC-link capacitor is connected to the system. The DC-

    link capacitor is aimed at keeping the voltage variations (ripple) small.

  • Chapter 2 DFIG For Wind Turbines

    7

    Figure 2.2 DFIG with back-to-back converters

    As there is a machine side converter, this makes it possible to control the torque

    and/or speed of the DFIG and also the power factor at the stator terminals. The main

    objective for the grid side converter is to keep the DC-link voltage constant. The

    speed-torque characteristics can be seen in figure 2.3. It can also be seen that the

    DFIG can operate both as a motor and as a generator. The DFIG is a typical

    application for wind turbines and operate with a limited speed range of approximately

    30% around synchronous speed depending on the number of poles in the machine.

    Figure 2.3 Typical Torque speed Measurement Curve

  • Chapter 2 DFIG For Wind Turbines

    8

    2.1 Equivalent circuit of the Doubly Fed Induction Generator

    The equivalent circuit of the doubly fed induction generator can be seen below. The

    equivalent circuit is on a per phase basis and is valid for both Y-connected and -

    connected configurations.

    Figure 2.4 Equivalent circuit of DFIG

    Applying Kirchhoffs voltage law to the above circuit the following can be deduced;

    )( rmrsssssss IIIjXIjXIRV ++++= eqn. 2.1

    )( rmrsmrrrr IIIjXjXI

    s

    R

    s

    V++++= eqn. 2.2

    )(0 rmrsmrmm IIIjXIR +++= eqn. 2.3 Where the following notation is; Vs stator voltage; Rs stator resistance; Vr rotor voltage; Rr rotor resistance; Is stator current; Rm magnetising resistance; Ir rotor current; Xs stator reactance; Irm magnetising resistance current; Xr rotor reactance; S slip; Xm magnetising reactance; The slip, s, is the ratio of relative speed to the synchronous speed and;

    s

    rss

    = eqn. 2.4

    Where s is the synchronous speed and r is the rotor speed. Also the air gap flux, the stator flux and the rotor flux can be defined as;

    )( rmrsmm IIIL ++= eqn. 2.5

    mssrmrsmsss ILIIILIL +=+++= )( eqn. 2.6

    mrrrmrsmrrr ILIIILIL +=+++= )( eqn. 2.7

  • Chapter 2 DFIG For Wind Turbines

    9

    The resistive losses of the induction generator can be obtained by the following formula;

    Ploss = )(222

    rmmrsss IRIRIR ++ eqn. 2.8

    The electro-mechanical torque can be expressed by;

    Te = ( ) ( )** 3Im3 rrprmp InIn = eqn 2.9 Where np is the number of pole pairs. The table below shows some typical parameters of induction machines (all values are in per unit)

    Table 2.1 Typical parameters of the induction machine in per unit [2]

    Small Medium Large Machine Machine Machine

    A 4 kW 100 kW 800 kW

    Stator and rotor resistance Rs and Rr 0.04 0.01 0.01 Leakage inductance Ls + Lr L 0.2 0.3 0.3 Magnetizing inductance Lm LM 2.0 3.5 4.0

    Denoted by Ss and the apparent power on the rotor is given by Sr. The apparent powers

    can be found by the following;

    *

    1

    2

    1

    2* 3333 smsssssss IjILjIRIVS ++== eqn. 2.10

    *

    1

    2* 3333 rmw

    rsrrrrr IsjIsLjIRIVS ++== eqn. 2.11

  • Chapter 3 Space Vector Theory

    10

    3. Space Vectors Theory

    The objective behind space vectors is to describe the induction machine with two phases

    as opposed to three phases. The induction machine comprises of been supplied with

    three stator currents and in turn forms a rotating flux in the air gap of the machine. The

    same rotating flux can be formed with only two phases. This is the main principle behind

    space vectors. The transform from three phasor currents to two phases can be

    preformed by implementing Clarke and Park transformations. With the use of the Clarke

    transform the real (Ids) and imaginary (Iqs) currents can be identified. The Park transform

    can then be implemented to realise the transformation of the Ids and Iqs currents from a

    stationary frame to a rotating frame thus used to control the relationship between the

    stator vector current and the rotor flux vector.

    3.1 Clarke and Park Transformations

    The Clarke transformation is also known as the transforms which use three phase

    currents ia, ib, ic to calculate currents in the in the two phase orthogonal stator frame

    which are known as i and i. The two currents i and i are in the fixed coordinate stator

    phase are transformed to the isd and isq current components in the rotating d, q frame of

    the Park transform.

    +

    ia

    ib

    ic

    iq

    id

    i

    i

    Figure 3.1 Phasor diagram of stator current in the d-q rotating frame and its relationship with the a, b, c stationary frame

  • Chapter 3 Space Vector Theory

    11

    3.2 Mathematical Model of Clarke Transform

    As per 3.1 states, the Clarke transform modifies three-phase currents into a two phases

    stator frame. Where the i and i can be found to be;

    )(3

    1

    3

    2cba iiii = eqn. 3.1

    )(3

    2cb iii = eqn. 3.2

    )(3

    2cbao iiii ++= eqn. 3.3

    Where i and i are components in an orthogonal reference frame and io is the electrical

    symmetrical component (homopolar) of the system.

    For this application and many others the homopolar component can be neglected. In the

    absence of the homopolar component the space vector can equate to v = v + jv which

    can represent the original three-phase input.

    3.3 Mathematical Model of Park Transform

    The two phases, and , which are calculated using the Clarke transform are then fed

    onto a rotating vector block where it is rotated over an angle of degrees to track the

    frame d and q associated with the rotor flux. The rotation over angle can be found by

    use of the following;

    )sin()cos( iiisd = eqn. 3.4

    )cos()sin( iiisq += eqn. 3.5

    3.4 Inverse Mathematical Models of Clarke and Park Transforms

    As the above transforms are taking a three phase supply current and transforming into a

    two phase representation there is an associated transform to reverse the process. The

    vector lying in the d, q frame is transformed from the d, q frame to the two phases of the

    and frame with a rotation of degrees can be can calculated by use of the following

    formulas;

    )sin()cos( sqsd iii = eqn. 3.6

    )cos()sin( qsd iii += eqn. 3.7

  • Chapter 3 Space Vector Theory

    12

    From this point with an orthogonal is two-phase , frame the following equations

    can be preformed to return to a three-phase system;

    iia = eqn. 3.8

    iiib2

    3

    2

    1+= eqn. 3.9

    iiic2

    3

    2

    1= eqn. 3.10

    3.5 Space Vector Modulation

    Space Vector Modulation (SVM) is an algorithm which is developed for the control of

    pulse width modulation (PWM). SVM refers to the switching scheme of a 3-phase power

    converter with IGBTs. The structure of a 3-phase power converter is shown below in

    figure 3.1. The 3-phase converter shown has to be controlled so that at no time are both

    IGBTs in the one leg of the circuit switched on together. Should both switches be on in

    the same leg of the converter it will create a short circuit. To meet the requirement of

    operation i.e. when Q1 is on and Q4 is off and vice versa leads to 8 possible

    combinations of switching vectors.

    Figure 3.2 Three-phase power converter layout

    A

  • Chapter 3 Space Vector Theory

    13

    Vector Q1 Q2 Q3 Q4 Q5 Q6 V12 V23 V31

    V0 = {000} Off Off Off On On On 0 0 0 Zero Vector V1 = {100} On Off Off Off On On +Vdc 0 -Vdc Active Vector V2 = {110} On On Off Off Off On 0 +Vdc -Vdc Active Vector V3 = {010} Off On Off On Off On -Vdc +Vdc 0 Active Vector V4 = {011} Off On On On Off Off -Vdc 0 +Vdc Active Vector V5 = {001} Off Off On On On Off 0 -Vdc +Vdc Active Vector V6 = {101} On Off On Off On Off +Vdc -Vdc 0 Active Vector V7 = {111} On On On Off Off Off 0 0 0 Zero Vector

    Table 3.1 Switching Vectors To implement the SVM technique a reference signal Vref is to be sampled with frequency

    fs (where Ts = 1/fs). The reference signal may be generated from three separate phase

    references. The reference vector is then synthesised using a combination of two adjacent

    switching vectors and one or both of the zero vectors.

    Figure 3.1 Switching Vectors

    Figure 3.2 shows the possible switching vectors for a 3 leg converter using space vector

    modulation. Within figure 3.2 is Vref max which is the maximum amplitude of Vref before

    non-linear over modulation is reached.

  • Chapter 4 System hardware and digital control

    14

    4. System Hardware and Digital Control

    Represented below is DFIG test system.

    Analogue ConditioningBoard and

    DSP Control System

    Shaft Encoder

    DC Motor

    +

    -

    110V

    CTs

    VTsCTs

    PWM PWM

    Crotor Cgrid

    TransformerFilter

    PC

    Supply

    Transformer

    Rotor

    Stator

    Ias Ibs Ics

    IarIbrIcr

    Va

    Vb

    Vc

    Fuses

    c

    =

    =

    Vdc

    If

    Iag Ibg Icg

    Figure 4.1 Doubly Fed Induction Machine Test Rig

    The DFIG system consists of the following equipment;

    Induction machine

    DC shunt machine

    Scherbius drive in the rotor circuit

    LEM current & voltage transducers

    Analogue conditioning boards

    Optical incremental shaft encoder

    A PC which programs Texas Instruments (TI) Digital Signal Processor

    (TMS320F2812)

  • Chapter 4 System hardware and digital control

    15

    4.1 Texas Instruments eZdsp TMS320F2812 Microprocessor

    The DFIG is controlled by a digital signal processor, in this case Texas Instruments (TI)

    TMS320F2812 is utilised. The choice of this board is preferred for this project as it has

    high speed operation and a wide range of functionality. Some of the key features of the

    board are listed below (a full range of specifications for the TI TMS320F2818 can be

    found in design file);

    Operating speed of 150 MIPS

    16, 12 bit ADC channels

    12 PWM channels

    Quadrature encoder pulse (QEP) interface

    ADC channels with fast conversion rate of 80ns at 25 MHz clock speed

    The inbuilt PWM channels are advantageous for use on the DFIG as 16 PWM pulses

    can be generated independently or synchronised. The pulses generated can be

    implemented across both converters which is suitable for the control of the rotor and

    grid side converters simultaneously. The control algorithms are developed in C using

    Code Composer Studio (CCS) which is then loaded directly to TIs TMS320F2812 via

    PC connection. The eZdsp F2812 is stand alone PCB and is power with a 5V power

    supply.

    4.2 Scherbius Drive

    The Scherbius drive consists of AC-AC converters in the rotor circuit. These converters

    are known as the rotor side and grid side converters and are discussed below.

    4.2.1 Rotor side converter

    Figure 4.2 provides a detailed image of the rotor side converter. Featured in figure 4.2 are

    the supply voltages Vas, Vbs, Vcs which are obtained through LEM voltage transducers

    (see section x). These voltages are modulated through an analogue conditioning board

    and then connected to the analogue to digital converter (ADC) of Texass Instruments

    TMS320F2812 digital signal processor (DSP). Three rotor currents Iar, Ibr, Icr are

    measured through LEMs current transducers (see section x), the currents are also

    connected to an analogue conditioning board which are then connected TIs

    TMS320F2812.

  • Chapter 4 System hardware and digital control

    16

    Figure 4.2 Rotor side converter

    Figure 4.2 shows six insulated gate bipolar transistors (IGBT) labelled Q1 Q6. These six

    power transistors are controlled by PWM gating signals a, b, c, a, b and c. These signals

    determine the shape of the output voltages supplied to the rotor windings. The PWM

    gating signals are the outputs from the 3V to 15V level shifting board. The inputs to the

    board are the 3V outputs from TIs TMS320F2812. The 3V PWM output pattern from

    TIs TMS320F2812 DSP chip depends on the control algorithms developed in Chapter

    3.

    4.2.2 Grid side converter

    Below shows the configuration of the grid side converters. The voltages obtained

    through LEM voltage transducers are modulated through an analogue conditioning

    board which is then connected to the ADC input of Texas Instruments TMS320F2812.

  • Chapter 4 System hardware and digital control

    17

    Figure 4.3 Grid Side Converter

    The three grid side currents (Iag, Ibg, Icg) seen in figure 4.3 are measured through LEM

    current transducers and the outputs are connected the analogue conditioning board and

    also to the ADC input of Texas Instruments TMS320F2812. As in the case of the rotor

    side converters, the six power transistors are controlled by PWM gating signals a, b, c, a,

    b, and c. These signals determine the power supplied to the DC-link. The gating signals

    mentioned are the outputs from the 3V to 15V level shift conditioning board. The 0

    3V PWM output pattern is dependant on the control algorithms which are developed in

    Chapter 3.

    4.3 Current Transducer

    Currents absorbed by the DFIG system, necessary to the control algorithms, are

    measured by LEM Module LA 55-P. From figure 4.4, the current, Ip, is to be measured.

    The magnetic flux created by primary current is balanced through a secondary coil using

    a Hall device and associated electronic circuit. The secondary (compensating current) is

    an exact representation of the primary current.

  • Chapter 4 System hardware and digital control

    18

    Figure 4.4 Scheme of current transducer & connection of current transducer LA 55-P

    The output signal is the voltage drop on the measuring resistance, Rm, caused by the

    secondary current. The LEM current transducer has a maximum value of 50A which

    corresponds to 50mA on the secondary coil (turns ratio of 1/1000). To obtain a voltage

    of 1.5V on the secondary coil, Ohms law can be used to obtain the value of resistance

    where;

    === 3005.0

    5.1

    I

    VRm eqn. 4.1

    4.4 Voltage Transducer

    Voltage transducer used are LEMs LV25-P, these transducers are used for measuring the

    voltage (Vdc) on the DC-link across the converters and also to measure the three phase

    voltages from the supply i.e Va, Vb and Vc. All of the mentioned can be seen in figure 4.1.

    Below in figure 4.5 the voltage transducer connection is shown. The use of the voltage

    transducer is necessary to acquire signals for control algorithms. The principle

    characteristics of LEMs LV 25-P can be seen in appendix x.

  • Chapter 4 System hardware and digital control

    19

    Figure 4.5 Voltage transducer LV 25-P connections

    The supply phase voltage considered for use is 220V rms knowing that the supply

    voltage is required to determine the series resistance (R1) as well as the measuring

    resistance (Rm) on the secondary side of the voltage transducer. In accordance with the

    datasheet (see appendix x), R1 is to be calculated so that the voltage measured

    corresponds to a peak current of 14mA. With this the calculation of R1 is found to be;

    p

    rms

    rms RI

    VR =1 eqn. 4.2

    Where Rp is primary resistance denoted by the manufacturer and is 205. Therefore the

    value of the series resistance R1 is;

    =

    =

    kR 973.21250

    1014

    220231

    The resistance, R1, will tend to generate heat therefore the resistance needs to be of an

    adequate wattage to dissipate the heat levels. The resistance chosen was 22.476k which

    corresponds to 7 watts. Therefore the actual primary current (I1) is;

    mAI 68.1325010476.22

    220231

    =+

    = eqn. 4.3

    Having the primary series resistance and current, the measuring resistance can be

    calculated where the desired output voltage is in the range of 1.5V thus;

    =

    =

    =

    85.43

    1000

    2500)1068.13(

    5.1

    3rms

    mkI

    VR eqn. 4.4

    Where;

    kN is the conversion ratio of the voltage transducer (see appendix x)

    As the value of resistance for Rm was not available the closest size to the calculated

    resistance is 47 which is used in the actual circuit.

  • Chapter 4 System hardware and digital control

    20

    4.5 Signal Conditioning

    Signals that are sent to Texas Instruments TMS320F2812 chip are to be in the range of

    0-3V. The 0-3V signals are sent to the analogue to digital converter (ADC) of the

    processor, should a voltage of greater than 3V be applied to the ADC input of the

    processor the TMS320F2812 chip may malfunction. As mentioned in section 4.2 the

    desired output from the current transducer is 1.5V, to have the signal from the current

    transducer in the range of 0-3V the signal must be level shifted. To achieve the required

    voltage range, a level shifting circuit board is implemented, thus the output from both

    the current and voltage transducers are applied to the board. This ensures that an output

    of 0-3V will be applied to the ADC input of the processor. The level shifting circuit

    includes a low pass filter which eliminates high frequency noise to ensure clean signals

    are been applied to the ADC of the processor. The level shifting circuit can be seen in

    appendix x.

  • Chapter 5 Acquisition of analogue variables

    21

    5. Acquisition of Analogue Variables

    Discussed in Chapter 4 were the analogue signal outputs for the different components.

    The signals mentioned are modulated through the signal conditioning board and sent to

    the TI eZdsp board. In the case of the current and voltage transducers the analogue

    conditioning board modulates the output voltage of 1.5V to a positive signal in the

    range of 0 3V which is a desirable for the input to the TI F2812 ADC. As there are

    numerous inputs required there are two associated circuit boards to accommodate the

    signals i.e.

    Rotor side currents x 3

    Grid side currents x 3

    Grid side voltages x 3

    DC link voltage x 1

    Speed control input (discussed in Chapter 6) x 1

    Thus there are a total of eleven inputs with each board accommodating six of the

    transducer outputs. Below in figure 5.1 can be seen the connection pin layout of the

    eZdsp F2812 and accompanied tables 5.1 and 5.2 are the input/output connections of

    the ADC connections.

    Figure 5.1 TI F2812 Connector positions [3]

  • Chapter 5 Acquisition of analogue variables

    22

    P5 Pin Number P5 Signal Measurement

    1 ADCINB0 Grid side Va

    2 ADCINB1 Grid side Vb

    3 ADCINB2 Grid side Vc

    4 ADCINB3 Speed Control Input

    5 ADCINB4

    6 ADCINB5

    7 ADCINB6

    8 ADCINB7

    9 ADCREFM

    10 ADCREFP

    Table 5.1 Input ADC Connections for F2812 [4]

    P9 Pin Number P9 signal P9 Pin Number P9 Signal Measurement

    1 GND 2 ADCINA0 Rotor side Ia

    3 GND 4 ADCINA1 Rotor side Ib

    5 GND 6 ADCINA2 Rotor side Ic

    7 GND 8 ADCINA3 Grid side Ia

    9 GND 10 ADCINA4 Grid side Ib

    11 GND 12 ADCINA5 Grid side Ic

    13 GND 14 ADCINA6 Vdc

    15 GND 16 ADCINA7

    17 GND 18 VREFLO

    19 GND 20

    Table 5.2 Input ADC Connections for F2812 [4]

  • Chapter 6 Incremental shaft encoder

    23

    6. Incremental Shaft Encoder

    An encoder is classed as a feedback device where the device is used to measure rotary

    motion of the induction machine. The incremental encoder consists of a perspex grating,

    a light source and a detector. The grating itself has uniformly spaced windows which act

    as shutter for the detector. The shutter provides a strobe light effect for the detector. By

    counting the number of cycles, the incremental shaft encoder is able to establish how far

    the machine has moved from an initial position. For position feedback to occur the

    encoder must have a predefined home position.

    With the incremental shaft encoder there is a once per revolution pulse, this gives the

    encoder an absolute starting position. The incremental shaft encoder in this case has two

    light sources/detectors which are arranged so that direction of travel can be sensed. The

    light source/detectors are arranged to be one quarter out of phase. This is effectively

    providing four state changes for each line on the encoder, thus increasing the resolution

    by a factor of 4.

    The disk of the incremental encoder is patterned with a single line track around its

    periphery. A second track is added to the encoder to generate a signal that occurs once

    per revolution to indicate absolute position. To obtain the direction, the lines on the disk

    are read out by two different elements that look at the disk pattern with a mechanical

    shift of one quarter the pitch of a line pair between them. As the disk rotates, two photo

    elements generate signals that are shifted 90 out of phase from each other []. These two

    signals are the quadrature A and B (QEPA & QEPB) signals. These signals produce

    1000 pulses per revolution of the machine.

    As mentioned above the light source/detectors are arranged to be one quarter out of

    phase which is providing four state changes, therefore the actual count per revolution is

    4000 pulses. Using a quadrature counter the rising and falling edges of the pulses can be

    counted.

  • Chapter 6 Incremental shaft encoder

    24

    Figure 6.1 Optical encoder disk with output signals [4]

    The incremental shaft encoder used in this project is manufactured by Hengstler and is a

    type RI 32 shaft encoder (see design file for data sheet). The output signals from the

    shaft encoder are sent to the TI F2812 interface board which in turn determines the

    position, the direction of rotation and the rotational speed of the machine.

    The induction machine used for this project has two pole pairs which from induction

    machine theory the synchronous speed of the machine can be found to be;

    P

    f s

    )(120= eqn. 6.1

    Where;

    f is the system frequency i.e. 50 Hz

    P is the number of poles

    Therefore the synchronous speed equates to 1500 rpm, also this corresponds to 25

    rev/sec. The TI F2812 will receive a signal frequency of;

    1000 pulses/rev x 25 rev/sec = 25 kHz

    Also with each pulse the rotor has advanced by 0.09 which can be found by the

    following mathematics.

    360 per rev 4000 pulses = 0.09

    The Hengstler shaft encoder is to be powered by a +15V, with this the output from the

    shaft encoder will be square wave pulses with an amplitude of +15V. The output signals

    from the shaft encoder are applied a QEP conditioning board which in turn steps down

    the voltage to +3V thus in turn is an acceptable signal to be applied to the TI

    TMS320F2812.

  • Chapter 7 Testing Results

    25

    7. Test Results

    The commissioning of a system comprises of a number of checks on the equipment.

    This includes physical, electrical and operational checks. Commissioning involves

    ensuring all wiring is secure, correct power supplies are being applied to the equipment

    and ensuring correct functioning of all the equipment. It also performs operational tests

    to prove that safety devices such as circuit breakers and MCBs trip under fault

    conditions to protect the remaining equipment from electrical power surges.

    Commissioning checklists are created to take note of all aspects to (1) ensure nothing has

    been overlooked during this stage and (2) to note any discrepancies for future reference.

    Results and comments on each checklist are stored for future reference. Once the

    equipment is commissioned to a satisfactory standard the equipment can be handed over

    to the operator and put into full time service.

    Fingerprinting of equipment takes place to monitor the efficiency of the equipment

    over time. Tests are performed on the equipment and results are obtained which are

    stored. The test is performed again over a defined period of time and the results are

    compared. Any discrepancy in results shows how the equipment has deteriorated over

    time and is a good aide in monitoring the life span of the equipment.

    The scope of the project entailed to correctly interface and calibrate current and voltage

    signals to the TI TMS320F2812 DSP chip, calibrate an incremental shaft encoder and

    both the grid side and rotor side IGBTs. Each section of the commissioning was

    recorded through commissioning checklists as can be seen in appendix B. Discussed

    below are the components tested with comments noted on each.

  • Chapter 7 Testing Results

    26

    7.1 Commissioning of Current Transducers

    The intent on commissioning the current transducers is to ensure that both the input

    current to the ADC cards and to the TI F2812 are in the correct level as intended. Also

    obtaining clean voltages signals in the range of 0-3V were essential to testing the current

    transducers. To perform the testing of the current transducers a three-phase variac and a

    load resistance bank were required. As current measurement was to be obtained the

    supply from the three-phase variac was incremented in steps one amp. With this

    increment it information could be noted. Below the results of the testing can be seen.

    Input current Input to PCB Input to TI (Output PCB) Programme ADC Clarke

    1 A 0.3V 1.5V320mV 1.5x10-4 0.0849

    2 A 0.6V 1.5V 600mV 2.7x10-4 0.15

    3A 0.9V 1.5V 88mV 4.04x10-4 0.202

    4A 1.16V 1.5V1.16V 5.5x10-4 0.27

    5A 1.46V 1.5V1.52V 6.7x10-4 0.328

    6A 1.74V 1.5V1.74V 7.9x10-4 0.394

    7A 2.0V 1.5V2.0V 8.9x10-4 0.459

    8A 2.24V 1.5V2.24V 0.00104 0.52

    Table 7.1 Current Transducer results

    In the above results it can be seen that input voltage to the TI F2812 was in the range of

    0-3V which was intended as per the design and implementing of the signal conditioning

    board. Also in the above table the column Clarke can be seen. The Clarke column is a

    digital representation of the current on a per unit scale which is representing the input

    voltage to the TI F2812. Increasing the current from 1A 8A the per unit values

    increase with respect to increasing voltage level. The maximum value of voltage to be

    obtained is to be 3.3V which on a per unit scale would be 1 per unit. The current

    transducers were operating in the range as expected and are fit for operation on this

    project.

  • Chapter 7 Testing Results

    27

    7.2 Commissioning of Voltage Transducers

    The voltage transducers were commissioned with the same intent as that of the current

    transducers. The intent being that the voltage transducers are able to supply clean voltage

    signals to the ADC cards and to the TI TMS320F2812. To ensure that the voltage

    transducers were operating correctly a three-phase variac supplied power across each of

    the phases with current be acquired through ammeters with the aide of a load resistance

    bank. In the following table are the obtained results.

    Input current Input to PCB Input to TI (Output PCB) Programme ADC Clarke

    1 A 340mv 1.5V360mV 1.89x10-4 0.0876

    2 A 680mV 1.5V 680mV 3.4x10-4 0.156

    3A 960mV 1.5V 920mV 4.3x10-4 0.218

    4A 1.24V 1.5V1.24V 5.5x10-4 0.277

    5A 1.54V 1.5V1.54V 7.3x10-4 0.302

    6A 1.80V 1.5V1.80V 8.5x10-4 0.433

    7A 2.14V 1.5V2.14V 9.8x10-4 0.487

    8A 2.40V 1.5V2.40V 0.00107 0.538

    Table 7.2 Voltage Transducer Results

    In the above results it can be seen that input voltage to the TI F2812 was in the range of

    0-3V which was intended as per the design and implementing of the signal conditioning

    board. As with the current transducer testing the Clarke column represents a digital

    output which can be visualised on screen. The per unit value are coherent with the range

    of the voltage levels obtained and the voltage transducers for this project are operating in

    the expected regions are fit for operation.

    7.3 Commissioning of Incremental Shaft Encoder

    The objective of commissioning the incremental shaft encoder was to see how accurate

    the readings obtained by the TI TMS320F2812 interpreted the speed of the DFIG and

    provide digital displays on the operating PC along with providing direction of rotation.

    To perform this test, an incremental build of level 2 of the main code in Code Composer

    Studio (CCS) was preformed. Also the induction machine (machine set O) was arranged

    to run light i.e. no load attached along with a tachometer to obtain actual machine

    speeds.

  • Chapter 7 Testing Results

    28

    7.3.1 Comments on Incremental Shaft Encoder

    With machine set O running light, the tachometer was used to measure the rotational

    speed of the machine. Below are listed results of the test.

    Tachometer reading (rpm) Display readout on PC (Per unit)

    1489 0.997

    1480 0.994

    1460 0.993

    Table 1 Incremental Shaft Encoder Test Results

    Below in figure 7.1 is shown a typical of the digital readout as observed from on screen

    displays. The readout measurement is set on a per unit scale which is specified in the

    coding of the program where 1 per unit represents a synchronous speed of 1500 rpm. It

    can be noted that there are some differences in the actual speed to the obtained from the

    PC. For example, per unit reading of 0.997 equates to 1495 rpm, however, in comparison

    the actual reading was 1489 rpm. This indicates to error within the system, although very

    small error which equates to 0.05% error. This subtle error has be noted and accepted as

    a tolerable error. Thus, concluding that the incremental shaft encoder is operating as

    expected and to satisfactory limitations.

    Figure 7.1 Digital readout of From Shaft Encoder

    7.4 Commissioning of Rotor Side IGBTs

    Commissioning of the rotor side IGBTs entailed testing to ensure that the IGBTs were

    firing at the correct frequency as set out in CCS, in this case 5 KHz. Ensuring that power

    flow across the convertor did not create any unbalances in voltage, current or frequency

    had to be noted. For testing of the rotor side IGBTs build level 1 rotor side had to be

    initialised in the main code of Code Composer Studio (CCS). Along with initialising the

    code to operate and provide PWM output signals from the TI TMS320F2812, a variable

    DC supply, load resistance bank and ammeters were required.

  • Chapter 7 Testing Results

    29

    7.4.1 Comments on Rotor Side IGBTs

    Upon initialising the coding, the output from the TI TMS320F2812 was checked to

    ensure the correct frequency of the PWM output was 5kHz. Establishing that there was a

    5kHz output, power from the variable DC was applied to the IGBTs. With an

    oscilloscope each leg of the convertor was checked for correct frequencies and also

    noting that a balanced three-phase current was shared across the load resistance bank.

    The rotor side convertor was established to operating in the correct manner and was

    satisfactory to expected conditions.

    7.5 Commissioning of Grid Side IGBTs

    The objective of testing the grid side IGBTs is to ensure power flow across the

    convertor does not create any unbalances in current, voltage and frequency. To test the

    IGBTs build level 1 (See design file for full coding) of the main code of the TI

    TMS320F2812 was initialised in Code Composer Studio (CCS). Build level one initialises

    elements which have been developed in various chapters of this report including inverse

    Clarke and Park transforms, space vector modulation of IGBTs and PWM. To have

    power into the circuit and for measurement of currents, a three-phase variac, ammeters

    and a load resistance bank were amongst the equipment to perform the test.

    7.5.1 Comments on Gide Side IGBTs

    With CCS initialised to operate the grid side IGBTs, the set point level for PWM output

    was to be 5 kHz. It was found that at the output PWM signal was approximately 30 kHz

    and the same for the frequency level across the IGBTs. Also with power flowing across

    convertor there was a current unbalance on the system. By use of an oscilloscope each

    leg of the IGBTs were investigated. Through investigation it found that one leg of the

    IGBTs was misfiring. The grid side IGBTs presented two problems at this stage. (1)

    Incorrect frequencies and (2) miss firing. To overcome the higher frequencies the coding

    in CCS was investigated. It was found that CCS was calling the rotor side IGBT variables

    which were not collaborating with the main coding. Creation of correct variable names to

    be called from the main coding overcame the issue of incorrect frequencies. To confirm

    the correct frequencies, by use of an oscilloscope the output PWM signal from the TI

    TMS320F2812 and was confirmed to providing a 5 kHz signal as intended. Having the

    correct PWM output the IGBTs could have power supplied to them and check for

    unbalances. With power supplied across the IGBTs, it was observed that there was still a

  • Chapter 7 Testing Results

    30

    current unbalance across one of the phases. It was found that leg 2 (see appendix x for

    image) was still misfiring and was generating high frequency noise. The problem with the

    misfiring of the IGBTs is hoped to not be terminal and can be resolved with further

    investigation, however, should the IGBT be un-reparable a new unit will have to be

    ordered.

  • Chapter 8 Conclusion and recommendations

    31

    8. Conclusion and recommendations

    The objectives set out at the beginning of the project were to interface and calibrate

    current and voltage signals obtained from the induction generator, to supply the correct

    3.3V clean voltage signals to the Texas Instruments TI TMS320F2812 DSP chip and to

    calibrate an incremental shaft encoder and interface to the TI DSP chip.

    The above objects have all been successfully met and commissioning checklists have

    been compiled to prove elements within the system are fit for their intended purpose and

    also for future reference if a fault ever occurs within the system it can be traced back to

    any comments which may have been made on the commissioning checklist.

    Outside of these objectives work also been carried out on numbering cables in the DFIG

    panel. Also a full schematic diagram (see appendix E) and a cable schedule of the system

    was designed using EPlan software design package which is widely used throughout

    industry.

    Recommendations for future work would include finalising the project and fully

    commissioning the TI TMS320F2812 to provide closed loop control over the system as

    well having fully functional ADC cards. Also as this type of generator is widely used

    throughout industry, creating a laboratory assignment for students to investigate

    performance and analyse the system would be advantageous to develop an appreciation

    for a generator that is widely used in industry.

    Should a student under take work on the DFIG as project work in the future, the student

    could investigate and analyse the system to be coherent with IEC standards and Irish

    Grid code for harmonics, fault ride through, flicker and reactive power capability.

  • 32

    Appendix A - Nomenclature

    Abbreviations

    ADC Analogue to Digital Converter CCS Code Composer Studio CT Current Transducer DAC Digital to Analogue Converter DFIG Doubly Fed Induction Generator DSP Digital Signal Processor Hz Hertz IGBT Insulated Gate Bipolar Transistor KHz Kilo-Hertz PC Personal Computer PWM Pulse Width Modulation SCIM Squirrel Cage Induction Machine SVM Space Vector Modulation TI Texas Instruments VT Voltage Transducer WT Wind Turbine WTG Wind Turbine Generator Symbols G Generator S slip SG Synchronous Generator Subscripts Irm Magnetising resistance current Ir Rotor current Is Stator current Rm Magnetising resistance Rr Rotor resistance Ra Stator resistance Vr Rotor voltage Vs Stator voltage Xm Magnetising reactance Xr Rotor reactance Xs Stator reactance

  • 33

    Appendix B Current & Voltage Transducer Test Results

    Results for Channel 2 Current Transducer

    Input current Input to PCB Input to TI (Output PCB) Programme ADC Clarke

    1 A 0.36V 1.5V320mV 1.5x10-4 0.0847

    2 A 0.66V 1.5V 600mV 2.7x10-4 0.143

    3A 0.9V 1.5V 900mV 4.0x10-4 0.193

    4A 1.15V 1.5V1.2V 5.2x10-4 0.259

    5A 1.48V 1.5V1.50V 6.4x10-4 0.32

    6A 1.7V 1.5V1.68V 7.6x10-4 0.389

    7A 2.0V 1.5V2.0V 8.5x10-4 0.444

    8A 2.24V 1.5V2.24V 0.0010 0.513

    Results for Channel 3 Current Transducer Input current Input to PCB Input to TI (Output PCB) Programme ADC Clarke

    1 A 0.380mV 1.5V320mV 1.8x10-4 0.0833

    2 A 0.640mV 1.5V 600mV 3.14x10-4 0.142

    3A 0.9V 1.5V 900mV 4.3x10-4 0.217

    4A 1.16V 1.5V1.16V 5.5x10-4 0.265

    5A 1.44V 1.5V1.5V 6.4x10-4 0.328

    6A 1.72V 1.5V1.72V 7.6x10-4 0.397

    7A 1.96V 1.5V1.98V 8.5x10-4 0.415

    8A 2.24V 1.5V2.24V 0.00101 0.514

    Results for Channel 5 Voltage Transducer Input current Input to PCB Input to TI (Output PCB) Programme ADC Clarke

    1 A 0.360mV 1.5V340mV 1.8x10-4 0.0849

    2 A 0.6V 1.5V 640mV 3.1x10-4 0.15

    3A 0.940mV 1.5V 940mV 4.3x10-4 0.207

    4A 1.24V 1.5V1.24V 5.5x10-4 0.28

    5A 1.52V 1.5V1.52V 6.7x10-4 0.343

    6A 1.84V 1.5V1.84V 8.2x10-4 0.404

    7A 2.1V 1.5V2.1V 9.5x10-4 0.485

    8A 2.4V 1.5V2.4V 0.00107 0.546

  • 34

    Appendix C Commissioning Checklists

    Please ote that the below are strictly for outlining purposes only. Within the printed

    dissertations contain the written content.

  • 35

    Final Year Project DT021/4

    Electrical & Electronic Engineering

    Commissioning checklist

    Doubly Fed Induction Generator

    Commissioning of Grid Side CTs

    Location: Room 5, DIT, Kevin St

    Signed: _____________________

  • 36

    Physical Inspection of Equipment Yes No

    Check for physical damage which could have occurred Check layout complies with electrical drawings

    Check all labelling is correct Check that panel door closes securely

    Check all wiring is secure

    Electrical function and integrity check Yes No

    Check three phase supply Check circuit breakers are in the operation position

    Check input current Check output current

    Check ratio of instrument transformers

    Full clean set of approved drawings available. Comments:

  • 37

    Final Year Project DT021/4

    Electrical & Electronic Engineering

    Commissioning checklist

    Doubly Fed Induction Generator

    Commissioning of Rotor Side CTs

    Location: Room 5, DIT, Kevin St

    Signed: _____________________

  • 38

    Physical Inspection of Equipment Yes No

    Check for physical damage which could have occurred Check layout complies with electrical drawings

    Check all labelling is correct Check that panel door closes securely

    Check all wiring is secure

    Electrical function and integrity check Yes No

    Check three phase supply Check circuit breakers are in the operation position

    Check input current Check output current

    Check ratio of instrument transformers

    Full clean set of approved drawings available. Comments:

  • 39

    Final Year Project DT021/4

    Electrical & Electronic Engineering

    Commissioning checklist

    Doubly Fed Induction Generator

    Commissioning of IGBTs Rotor Side

    Location: Room 5, DIT, Kevin St

    Signed: _____________________

  • 40

    Physical Inspection of Equipment Yes No

    Check for physical damage which could have occurred Check layout complies with electrical drawings

    Check all labelling is correct Check that panel door closes securely

    Check all wiring is secure

    Electrical function and integrity check Yes No

    Check three phase supply Check circuit breakers are in the operation position

    Check input current Check output current

    Check ratio of instrument transformers

    Full clean set of approved drawings available. Comments:

  • 41

    Final Year Project DT021/4

    Electrical & Electronic Engineering

    Commissioning checklist

    Doubly Fed Induction Generator

    Commissioning of IGBTs Grid Side

    Location: Room 5, DIT, Kevin St

    Signed: _____________________

  • 42

    Physical Inspection of Equipment Yes No

    Check for physical damage which could have occurred Check layout complies with electrical drawings

    Check all labelling is correct Check that panel door closes securely

    Check all wiring is secure

    Electrical function and integrity check Yes No

    Check three phase supply Check circuit breakers are in the operation position

    Check input current Check output current

    Check input PWM signals

    Full clean set of approved drawings available. Comments:

  • 43

    Appendix D Hall Effect

    The Hall Effect is a production of voltage difference across an electrical conductor. The

    Hall Effect is due the nature of the current in a conductor where the current consists of

    many small charges. Moving charges experience the Lorentz force when a magnetic field

    is present. Without a magnetic field present the charges follow an approximately straight

    line. With a magnetic field present perpendicular to the charge, the charges path is seen

    to be curved which in turn it can be noted that moving charges accumulate on side of the

    material. Thus with the accumulation of charges on one face of a material this leaves an

    equal and opposite charge exposed on the other face. This results in a asymmetric

    distribution of charge across the Hall element which is perpendicular to both the straight

    path of charges and the applied magnetic field. This separation of charges establishes an

    electric field which opposes passage of further charges. This produces a steady electrical

    potential which is existent as long as charge is flowing.

  • 44

    Appendix E Voltage and Current Transducer Datasheet

  • 45

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    Appendix F Wiring Diagram And Cable Schedule

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    Reference:

    [1] D. Ehlert, H. Wrede, Wind Turbines With Doubly-Fed Induction Generator Systems With Improved Performance Due To Grid Requirements, IEEE 2007 [2] T. Thiringer and J. Luomi, Comparison of reduced-order dynamic models of induction machines, IEEE Trans. Power Syst., vol. 16, no. 1, pp. 119126, Feb. 2001. [3] eZdspTM F2812, Technical Reference, page 2-5 [4] Joseph Kearney, Project report on DFIG [5]TMS320x280x, 2801x, 2804x Enhanced Quadrature Encoder Pulse (eQEP) module, Reference guide, page 9 Thomas Ackermann, Wind Power In Power Systems, John Wiley & Sons Ltd, 2005. Bhag S. Guru, Huseyin R. Hiziroglu, Electric Machinery and Transformers, First Edition, 1988