4. Dasar Variable Speed Drives.pdf

96
Dasar Variable Speed Drives Mochammad RAMELI Teknik Sistem Pengaturan - Jurusan Teknik Elektro – FTI – ITS 2014

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materi kuliah pengaturan motor teknik elektro ITS

Transcript of 4. Dasar Variable Speed Drives.pdf

  • Dasar Variable Speed DrivesMochammad RAMELI

    Teknik Sistem Pengaturan - Jurusan Teknik Elektro FTI ITS

    2014

  • Obyektif:

    Mempelajari hubungan model motor induksi Karakteristik motor beban Teknik penyesuaian Pengaturan karakteristik motor beban

    Mempelajari teknik dasar: pembangkitan gelombang sinus PWM Konverter elektronik

    Konsekuensi penggunaan Konverter elektronik Teknik minimisasi pengaruh harmonisa

    2

    M. RAMELI: Control of Electric Drive

  • ABBMonth DD, YYYY | Slide 3

    ASHRAE Rocky Mountain ChapterVFD FundamentalsApril 16, 2010Jeff Miller -

    2010

    Referensi:1. Jeff Miller, VFD Fundamentals, ASHRAE Rocky Mountain Chapter, April 16, 2010

    3

    M. RAMELI: Control of Electric Drive

  • M. RAMELI: Control of Electric Drive

    04/08/05

    Biodata Personel Nama: Mochammad RAMELI, DR. Ir. Tempat/tgl lahir: Surabaya, 27 Desember 1954 Pendidikan:

    S1- Teknik Elektro ITS, 1979 S3- Control Engineering, Univ. Louis Pasteur - Strasbourg, France, 1990.

    Pekerjaan : Dosen Teknik Elektro ITS Alamat rumah : Jl. Teknik Arsitektur J-6 Surabaya. Telephone : (031) 5931146 Mobile : 081 232 888 52 Istri 1 (satu), anak 2 (dua): laki-laki & perempuan Email: [email protected] atau [email protected]

  • Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    INDUCTION MOTOR DRIVES

    Scalar Control Vector Control

    Const. V/Hz is=f(r) FOC DTC

    Rotor Flux Stator Flux CircularFlux

    HexagonFlux

    DTCSVM

    5

    M. RAMELI: Control of Electric Drive

  • Pengaturan motor induksi asinkron berdasarkan model steady-state (rangkaian ekivalen SS per-fasa):

    Rr/s

    +

    Vs

    Rs Lls Llr

    +

    Eag

    Is Ir

    Im

    Lm

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    6

    M. RAMELI: Control of Electric Drive

  • UV

    W

    pfns 2

    .120=

    +

    +

    ==2

    2'2

    1

    '2

    23

    eks

    dd

    Xs

    RRs

    RVPT

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    7

    M. RAMELI: Control of Electric Drive

  • rs

    Trated

    Pull out Torque(Tmax)

    Te

    ssm ratedrotor

    TL

    Te

    Titik potong (Te=TL) menentukan kecepatansteadystate.

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    8

    M. RAMELI: Control of Electric Drive

  • Diberikan satu beban dgn karakteristik T,kecepatan steady-state dapat diubah dgn mengubah karakteristik T motor:

    Mengubah Pole Kecepatan sinkron berubah sesuaidgn banyaknya polesPerubahan kecepatan secara Diskrit

    Tegangan variabel (amplitude), frequensi tetapmenggunakan Trafo atau TriacTegangan diturunkan Slip menjadi tinggi efisiensi rendah

    Tegangan variabel (amplitude), frekuensi variabel (V/Hz konstan)Menggunakan converter electronikBeroperasi di low slip frequency

    pfns 2

    .120=

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    9

    M. RAMELI: Control of Electric Drive

  • Tegangan variable, frekuensi tetap

    0 20 40 60 80 100 120 140 1600

    100

    200

    300

    400

    500

    600

    Torq

    ue

    w (rad/s)

    Kecepatan makin rendah slip makin tinggi

    Efisiensi rendah pada kecepatan rendah

    Contoh: 3phase squirrel cage IM

    V = 460 V Rs= 0.25

    Rr=0.2 & Lr = Ls = 0.5/(2*pi*50)

    Lm=30/(2*pi*50)

    f = 50Hz p = 4

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    10

    M. RAMELI: Control of Electric Drive

  • Nilai V/Hz = konstan

    Bila nilai Eag cukup besar air-gap flux mendekati konstan

    Eag = k f ag

    fV

    fEag =ag = konstan

    Pengaturan kecepatan dilakukan dengan merubah-rubah nilai frekuensi f mempertahankan nilai V/f konstan untuk menghindari kejenuhan flux.

    Mempertahankan nilai V/Hz tetap konstan

    +V_

    +Eag_

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    11

    M. RAMELI: Control of Electric Drive

  • 0 20 40 60 80 100 120 140 1600

    100

    200

    300

    400

    500

    600

    700

    800

    900

    Torq

    ue

    50Hz

    30Hz

    10Hz

    Nilai V/Hz = konstan

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    12

    M. RAMELI: Control of Electric Drive

  • Vrated

    frated

    Vs

    f

    Nilai V/Hz = konstan

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    13

    M. RAMELI: Control of Electric Drive

  • VoltageSource Inverter

    RectifierSuplai3-fasa IM

    Pulse Width

    Modulators* +Ramp

    f

    C

    V

    Nilai V/Hz = konstan

    Modeling dan Pengaturan Penggerak Elektrik(Control of Electrical Drives)

    14

    M. RAMELI: Control of Electric Drive

  • Apa itu Penggerak Elektrik / Drive / VFD/ AFD?

    0

    230

    460

    Volts

    Hertz30 60

    460 V

    60 Hz= 7.67

    VHz

    230 V

    60 Hz= 3.83

    VHz

    Bila suplai 230 VAC:

    15

    M. RAMELI: Control of Electric Drive

  • Motor

    L1

    L2

    L3

    C

    L

    Input Converter(Diode Bridge)

    Output Inverter(IGBTs)

    DC Bus(Filter)+

    _+_

    +

    _

    +

    _

    + +

    _ _

    Apa itu Penggerak Elektrik ?

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    M. RAMELI: Control of Electric Drive

  • Apa itu Penggerak Elektrik ?

    17

    M. RAMELI: Control of Electric Drive

  • Satu variable frequency drive mengubah energi listrik masukan 50 Hz ke bentuk arus searah DC,selanjutya diubah ke satu bentuk keluaran tegangan variabel frekuensi variabel buatan.

    VFD Fundamentals

    50 Hz Power

    Electrical Energy

    ABB

    Zero - 100 Hz

    keMotor

    VFD

    RECTIFIER(AC - DC)

    INVERTER(DC - AC)

    AC DC AC

    VFD

    Zero - 100 Hz50 Hz

    18

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    19

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    20

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    21

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    22

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    23

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    24

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    25

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    26

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    27

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    28

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    29

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    30

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    31

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    32

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    33

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    34

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    35

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    36

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    37

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    38

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    39

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    40

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    41

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    42

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    43

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    44

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    45

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    46

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

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    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Luasan dibawah Pulsa-pulsa Gel Persegi (Square-Wave Pulses)mendekati luasan dibawah satu Gelombang Sinusoida

    Frekuensi

    Tega

    ngan

    48

    M. RAMELI: Control of Electric Drive

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    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Berapa kali posisi saklar berubah dari Pulsa-pulsa Positipke Pulsa-pulsa Negatip Menentukan Frekuensi Gelombang

    Frekuensi

    Tega

    ngan

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    M. RAMELI: Control of Electric Drive

  • Frekuensi = 25Hz

    Frekuensi = 50Hz

    51

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor

    52

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor53

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor

    54

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor

    55

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor

    56

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor

    57

    M. RAMELI: Control of Electric Drive

  • RECTIFIER

    PositiveDC Bus

    NegativeDC Bus

    +

    -

    INVERTER

    Motor

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    M. RAMELI: Control of Electric Drive

  • tPWM pulse width modulation

    Inverter PWMM. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v

    M. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v

    +Hs

    M. RAMELI: Control of Electric Drive

  • +u

    v

    w

    u

    w

    v

    Hs

    M. RAMELI: Control of Electric Drive

  • +u

    v

    w

    u

    w

    v

    Hs

    M. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v+

    Hs

    M. RAMELI: Control of Electric Drive

  • uw

    u

    v

    w

    v

    +

    Hs

    M. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v

    +

    Hs

    M. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v

    +Hs

    M. RAMELI: Control of Electric Drive

  • +u

    v

    w

    u

    w

    v

    Hs

    M. RAMELI: Control of Electric Drive

  • +u

    v

    w

    u

    w

    v

    Hs

    M. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v+

    Hs

    M. RAMELI: Control of Electric Drive

  • uw

    u

    v

    w

    v

    +

    Hs

    M. RAMELI: Control of Electric Drive

  • uv

    w

    u

    w

    v

    +

    Hs

    M. RAMELI: Control of Electric Drive

  • Beban-beban Non-Linear ?

    Beban-beban yang mengambil arus non-sinusoidal dari jaringan-listrik:

    Bukan lampu-pijar (Non-incandescent lighting) Komputer Uninterruptible power supplies Peralatan Telekomunikasi Mesin-mesin Foto-Copy Battery chargers Electronic variable speed drives Semua beban yg bekerja dgn konverter elektronik

    AC to DC73

    M. RAMELI: Control of Electric Drive

  • M460VAC 3-fasa

    650VDC

    AC buatan(PWM)

    Semua AC Drives menyearahkan AC ke DC, kemudian mengubahke bentuk AC buatan (PWM) dgn Tegangan dan Frekuensivariabel untuk mensuplai motor.

    Konversi AC ke DC membangkitkan harmonisa!

    Konfigurasi Tipikal AC Drive

    74

    M. RAMELI: Control of Electric Drive

  • Non-linear loads draw current in a non-sinusoidal or distorted manner

    Harmonics or harmonic content is a mathematical concept implemented to allow quantification and simplified analysis of non-linear waveforms

    Harmonics are typically present in both network currents and network voltages

    Non-linear current draw creates non-linear voltage as it flows through the electrical network

    Current harmonics Voltage harmonics

    Definisi Harmonisa

    75

    M. RAMELI: Control of Electric Drive

  • FundamentalHarmonisa ke-5Harmonisa ke-7Harmonisa ke-11Harmonisa ke-13Harmonisa ke-17Harmonisa ke-19

    50 Hz250 Hz350 Hz 550 Hz650 Hz850 Hz950 Hz

    60 Hz300 Hz420 Hz 660 Hz780 Hz

    1020 Hz1140 Hz

    Frekuensi Harmonisa

    76

    M. RAMELI: Control of Electric Drive

  • 0 0.005 0.01 0.015 0.02 0.025 0.031

    0.5

    0

    0.5

    1

    i1 t( )

    i5 t( )

    i7 t( )

    Fundamental 5th

    7th

    0 0.005 0.01 0.015 0.02 0.025 0.031.5

    1

    0.5

    0

    0.5

    1

    1.5

    iT t( )

    t

    Komponen--komponen

    Penjumlahan

    Theory: Fundamental, Harmonisa ke-5 dan ke-7

    77

    Ingat! Deret Fourier

    M. RAMELI: Control of Electric Drive

  • PWM Drive Harmonic Input Spectrum

    5th

    7th

    Fundamental

    11th13th

    Harmonic Content, 6- Pulse Drive

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    M. RAMELI: Control of Electric Drive

  • Distorsi Arus Harmonisa Menambah panas di trafo dan kabel,

    menurunkan kapasitas tersedia Dapat memicu satu kondisi resonansi

    dengan Kapasitor Power Factor Correction Tegangan berlebihan (Excessive voltage) Overheating pada kapasitor koreksi PF Tripping pada PF protection equipment

    Distorsi tegangan - Voltage Distortion mengganggu kerja (interferensi) sensitive equipment. Paling dikuatirkan!

    Harmonisa Mengapa dikhawatirkan?

    79

    M. RAMELI: Control of Electric Drive

  • Harmonics produced by an individual load are only important to the extent that they represent a significant portion of the total connected load

    Linear loads help reduce system harmonic levels TDD equals the THD of the nonlinear load multiplied by

    the ratio of nonlinear load to the demand load:

    DLNLTHDTDD NL =Where

    TDD = TDD of the systemTHDNL = THD of the nonlinear loadsNL = kVA of nonlinear loadDL = kVA of demand load

    (nonlinear + linear)

    Harmonics A System Issue!

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    M. RAMELI: Control of Electric Drive

  • Table 10.2Low-Voltage System Classification and Distortion Limits

    SpecialApplications

    GeneralSystem

    DedicatedSystem

    Notch Depth 10% 20% 50%THD (Voltage) 3% 5% 10%Notch Area, Vs 16,400 22,800 36,500

    Note: Notch area for other than 480 V systems should be multiplied by V / 480.

    IEEE 519 - 1992

    Harmonics By the Numbers

    85

    M. RAMELI: Control of Electric Drive

  • Table 10.3Current Distortion Limits for General Distribution Systems

    ISC / IL

  • Reactors (Chokes) Passive Filters

    Harmonic Trap Hybrid

    High Pulse Count Rectification Active Filters

    Drive Front End Stand Alone

    Harmonics Attenuation Options

    87

    M. RAMELI: Control of Electric Drive

  • Simplest and least expensive harmonic reduction technique

    May be included in base drive package

    Often meet harmonic needs provided drive load is a small portion of total connected load

    May be implemented with AC line reactors or with DC link reactors

    AC line reactors provide better input protection

    DC link reactors provide load insensitive drive output voltage

    Both types provide similar harmonic benefits

    Swinging choke design provides enhanced light load harmonic performance

    Reactors (Chokes)

    88

    M. RAMELI: Control of Electric Drive

  • AC LineReactor

    M

    DC LinkReactor

    M

    Different design techniques

    Equal harmonic reduction for same normalized% reactance

    Typical full load THD (current) at drive input terminals28% 46%

    Reactors, AC Line atau DC Link

    89

    M. RAMELI: Control of Electric Drive

  • Installs in series with drive input

    May feed multiple drives

    Improves power factor (may go leading)

    Typical full load THD (current) at filter input terminals5% 8%

    Relatively unaffected by line imbalance

    Hybrid Filter

    90

    M. RAMELI: Control of Electric Drive

  • Typical configurations are either 12 pulse or 18 pulse

    Phase shifting transformer is required Additional drive input bridge(s) is needed Typical full load THD (current) at transformer

    primary 8% 12% (12 pulse), 4% 6% (18 pulse) Performance severely reduced by line imbalance

    (voltage or phase) Excellent choice if step-down transformer is

    already required

    High Pulse Count Rectification

    91

    M. RAMELI: Control of Electric Drive

  • 6 pulse rectifier

    Transformer and cabling simple

    Current very distortedIthd typically 45% with 3% reactor

    DC/AC

    DC/AC

    Transformer and cabling complicated

    Current distortedIthd 8% to 12% (depending on network impedance)

    12 pulse rectifier

    18 pulse rectifier

    DC/AC

    Transformer and cabling complicated

    Current wave form goodIthd 4% to 6% (depending on network impedance)

    High Pulse Count Rectification

    92

    M. RAMELI: Control of Electric Drive

  • LCL Filter (Sine Filter) removes high frequencies >1 kHz. (Current and voltage)

    Full output voltage is available with 80% input voltage(400VIn = 480VOut)

    Full regenerative capability No transformer required Not affected by line imbalance

    LCL filter

    Line inverter(rectifier)

    Motor inverter Motor

    L L

    C

    M

    Active Filter Front End with LCL Filter

    93

    M. RAMELI: Control of Electric Drive

  • Remember!Even an 80% THD nonlinear load with a will result in only 8% TDD if the nonlinear load is 10% and the linear load is 90%.

    (80%(10%/(10%+90%))=8%)

    Harmonic Reduction Summary

    Effectiveness of Harmonic Mitigation Techniques (Assuming 100% Nonlinear Loading, ISC / IL = 60)

    Technique THD (Current) Harmonic Reduction

    No mitigation (reference level) 72% 3% line reactors (or equivalent DC link reactor) 39% 45.8% 5% line reactors (or equivalent DC link reactor) 33% 54.2% 5% line reactors + 5th harmonic trap filter 12% 83.3% 12 pulse input rectifier with 5% impedance transformer 10% 86.1% Hybrid filter 7% 90.3% 18 pulse input rectifier with 5% impedance transformer 5% 93.1% 12 pulse input rectifier with 5% impedance transformer + 11th harmonic trap filter 4% 94.4%

    Active harmonic filter 3.5% 95.1%

    94

    M. RAMELI: Control of Electric Drive

  • Summary Practical Advice

    With a main distribution transformer, 20-30% of its load on non-linear loads will typically comply with IEEE 519-1992

    Voltage distortion causes interference with sensitive equipment, not current distortion!

    5% reactors address 90+% of typical applications. They also provide protection against line transients and keep input currents low to avoid oversizing power wiring to comply with NEC.

    Make VFD vendor perform a harmonic distortion calculation with the submittals.

    95

    M. RAMELI: Control of Electric Drive

  • PEAK: 1,040 volts 96

    M. RAMELI: Control of Electric Drive

  • Peak Voltage all at 50 of cable

    Peak Voltage has many Contributing FactorsInverter Rated

    Motors Help Minimize the IssueLess dV/dT

    minimizes; problems with RFI/EMI Motor Insulation & Bearing Current

    Drive Peak Voltage

    1 1040

    2 1110

    3 1180

    4 1290

    5 1350

    6 2454

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    M. RAMELI: Control of Electric Drive

  • Recommendations

    Keep cable length short as possible Use a NEMA MG1, Part 31 motor (not inverter duty or inverter

    ready Ensure that grounding is sound

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    M. RAMELI: Control of Electric Drive

  • 99

    M. RAMELI: Control of Electric Drive

  • 100

    M. RAMELI: Control of Electric Drive

    Dasar Variable Speed DrivesObyektif:ASHRAE Rocky Mountain Chapter VFD FundamentalsApril 16, 2010Jeff Miller - ABBBiodata PersonelSlide Number 5Pengaturan motor induksi asinkron berdasarkan model steady-state (rangkaian ekivalen SS per-fasa):Slide Number 7Slide Number 8Slide Number 9Slide Number 10Slide Number 11Slide Number 12Slide Number 13Slide Number 14Apa itu Penggerak Elektrik / Drive / VFD/ AFD?Slide Number 16Slide Number 17Slide Number 18Slide Number 19Slide Number 20Slide Number 21Slide Number 22Slide Number 23Slide Number 24Slide Number 25Slide Number 26Slide Number 27Slide Number 28Slide Number 29Slide Number 30Slide Number 31Slide Number 32Slide Number 33Slide Number 34Slide Number 35Slide Number 36Slide Number 37Slide Number 38Slide Number 39Slide Number 40Slide Number 41Slide Number 42Slide Number 43Slide Number 44Slide Number 45Slide Number 46Slide Number 47Slide Number 48Slide Number 49Slide Number 50Slide Number 51Slide Number 52Slide Number 53Slide Number 54Slide Number 55Slide Number 56Slide Number 57Slide Number 58Slide Number 59Slide Number 60Slide Number 61Slide Number 62Slide Number 63Slide Number 64Slide Number 65Slide Number 66Slide Number 67Slide Number 68Slide Number 69Slide Number 70Slide Number 71Slide Number 72Beban-beban Non-Linear ?Slide Number 74Slide Number 75Slide Number 76Slide Number 77Slide Number 78Slide Number 79Slide Number 84Slide Number 85Slide Number 86Slide Number 87Slide Number 88Slide Number 89Slide Number 90Slide Number 91Slide Number 92Slide Number 93Harmonic Reduction SummarySummary Practical AdviceSlide Number 96Peak Voltage all at 50 of cableRecommendationsSlide Number 99Slide Number 100