chapter1-3_three phase transformer

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    MZSFKEE,UMP

    33

    TransformerTransformer

    Muhamad Zahim Sujod

    Ext : 2312A1-01-06

    [email protected]

    BEE2123

    ELE!"#AL MA$#%ES

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    MZS

    Learning OutcomesLearning Outcomes

    At the e+d o, the etu/e( tude+t houd e

    ae to:

    )+de/ta+d the p/i+ipe a+d the +atu/e o, 3p/i+ipe a+d the +atu/e o, 3

    phae t/a+,o/me/.phae t/a+,o/me/.

    *e/,o/m a+ a+ayi o+ 3 phae3 phae

    t/a+,o/me/ hih thei/ p/i+ipe a/e

    ai to the u+de/ta+di+ o, eet/iaeet/iamahi+emahi+e.

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    MZS

    IntroductionIntroduction

    A 3 t/a+,o/me/ i ee+tiay 3 i+e phae t/a+,o/me/ ou+d o+ ai ee+tiay 3 i+e phae t/a+,o/me/ ou+d o+ aommo+ o/eommo+ o/e..

    !he eomet/y o, the o/e!he eomet/y o, the o/e i uh that thei uh that the ,uxe o, the phae ha/e,uxe o, the phae ha/e

    ommo+ pathommo+ path4 a a /eut( the 5oume o, i/o+ i+ 3the 5oume o, i/o+ i+ 3t/a+,o/me/ i et/a+,o/me/ i etha+ the 5oume o, i/o+ o, 3 i+e phae t/a+,o/me/ o, the ame /ati+tha+ the 5oume o, i/o+ o, 3 i+e phae t/a+,o/me/ o, the ame /ati+..

    $e+e( the ot i /eduedot i /edued. a+y phae o, a 3 t/a+,o/me/ eha5e exaty ie a i+e phaet/a+,o/me/.

    #+ 3t/a+,o/me/( the p/ima/y a+d eo+da/y i+di+ a+ e o++etedthe p/ima/y a+d eo+da/y i+di+ a+ e o++etedeithe/ i+ 7 o/eithe/ i+ 7 o/ .

    !he poie o++etio+ a/e:*/ima/y Seo+da/y

    77 77

    7 77 7

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    MZS

    Transformer ConstructionTransformer Construction

    3 Si+e *hae !/a+,o/me/

    Np1 Ns1

    Np2 Ns2

    Np3 Ns3

    TransformerTransformer

    BankBank

    RR YY BB

    8)ed a ot i+ ode/ t/a+,o/me/8ad5:- eah u+it i+ the a+ a+ e /epaed

    i+di5iduay

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    MZS

    Transformer ConstructionTransformer Construction

    3!/a+,o/me/ ou+d a i+e th/ee eed i/o+o/e

    NNp1p1

    NNs1s1

    NNp2p2

    NNs2s2

    NNp3p3

    NNs2s2

    8mo/e p/e,e//ed i+ p/atiemo/e p/e,e//ed i+ p/atie8ad5:- ihte/( mae/( heape/( ihty mo/eihte/( mae/( heape/( ihty mo/e

    e,,iie+te,,iie+t8i/o+ o/e mut e ami+ated :

    8to /edue eddy u//e+t o8i/o+ mut e made o, o,t i/o+ :

    8to /edue hyte/ei o8ooi+ the t/a+,o/me/ :- ue ,a+ o/ heat i+

    8o,t i/o+ mut e add ith 3-9 iio+ :- to i+/eae the atu/atio+ ,ux

    i+ the i/o+

    ; !he amou+t o, iio+ mut +ot too hihmut +ot too hihothe/ie the i/o+ i e /ittei/o+ i e /itte8amp the ami+atio+ :- to /edue the hummi+ +oie

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    MZS

    Delta (Delta () Delta () Delta () Connection) Connection

    !hi o++etio+ i economical for largeeconomical for large( o-5otaeo-5otae

    t/a+,o/me/t/a+,o/me/i+ hih i+uatio+ p/oem i +ot oi+uatio+ p/oem i +ot o

    u/e+t.u/e+t.

    B

    AA

    VL1

    CC

    V1

    #1

    IIL1L1

    B'

    A'

    C'

    V2

    #2

    IL2

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    Delta (Delta () Delta () Delta () Connection) Connection(Schematic Diagram)(Schematic Diagram)

    A

    B C

    A

    N

    C

    N

    B

    N

    A

    N

    C

    N

    B

    N

    A

    B C

    A

    N

    C

    N

    B

    N

    A

    N

    C

    N

    B

    N

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    Delta (Delta () Delta () Delta () Connection) Connection(Schematic Diagram)(Schematic Diagram)

    Refer to primar!Refer to primar!

    3

    1

    1

    LI

    I =

    11 LVV = 22 LaVVa

    =

    "01

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    MZS

    Star (Y) Star (Y) ConnectionStar (Y) Star (Y) Connection

    !hi o++etio+ i the mot eo+omiamot eo+omia,o/ ma( hihma( hih

    5otae t/a+,o/me/5otae t/a+,o/me/.

    VL1

    IL1

    A

    V1

    C

    B

    I1

    VL2

    IL2

    A'

    V2

    C'

    B'

    I2

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    MZS

    Star (Y) Star (Y)Star (Y) Star (Y)ConnectionConnection

    (Schematic Diagram)(Schematic Diagram)

    %

    A

    B =

    %

    B

    =

    %

    %

    A =

    %

    %

    %

    A

    B =

    %

    B

    =

    %

    %

    A =

    %

    %

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    MZS

    33rdrdharmonic henomenon andharmonic henomenon and

    un!alanced loadingun!alanced loading

    !he 7-7 o++etio+ ha to 5e/y e/iou

    p/oem:

    #, oad o+ the t/a+,o/me/ i/uit a/e

    u+aa+ed( the+ the 5otae o+ the phae5otae o+ the phaeo,the t/a+,o/me/ a+ eome e5e/eyeome e5e/ey

    u+aa+edu+aa+ed

    !he/e i a e/iou p/oem ith thi/d ha/mo+ithi/d ha/mo+i

    5otae5otae Soutio+ to the p/oem:Soutio+ to the p/oem:

    Soidy /ou+d the +eut/a o, theSoidy /ou+d the +eut/a o, the

    t/a+,o/me/t/a+,o/me/

    #+t/odued a thi/d i+di+ o++eted i+#+t/odued a thi/d i+di+ o++eted i+

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    MZS

    Star (Y) Delta (Star (Y) Delta () Connection) Connection(Schematic Diagram)(Schematic Diagram)

    A

    N

    C

    N

    B

    N

    A

    N

    C

    N

    B

    N

    A

    B C

    A

    N

    C

    N

    B

    N

    A

    N

    C

    N

    B

    N

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    MZS

    Star (Y) Delta (Star (Y) Delta () Connection) Connection(Schematic Diagram)(Schematic Diagram)

    Refer to primar!Refer to primar!

    11 LII =

    3

    1

    1

    LV

    V = 22 3 LY aVVa =

    "01

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    MZS

    Delta (Delta () Star (Y)) Star (Y)

    !hi type o, o++etio+ i mai+y ued ,o/ the ytem

    he/e e +eed to tep-up the 5otae.

    VL2

    IL2

    A'

    V2

    C'

    B'

    I2

    BB

    A

    VL1

    C

    V1

    #

    1

    IL1

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    MZS

    Delta (Delta () Star (Y) (Schematic) Star (Y) (SchematicDiagram)Diagram)

    A

    N

    C

    N

    B

    N

    A

    N

    C

    N

    B

    N

    A

    B C

    A

    N

    C

    N

    B

    N

    A

    N

    C

    N

    B

    N

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    MZS

    "uto#Transformer"uto#Transformer

    Auto-!/a+,o/me/ i a t/a+,o/me/ ith o+y o+e i+di+.t/a+,o/me/ ith o+y o+e i+di+.

    !hat mea+( the p/ima/y a+d eo+da/y i+di+ a/e

    +ot eet/iay ioated ,o/m eah othe/+ot eet/iay ioated ,o/m eah othe/. #+ othe/ o/d(

    the p/ima/y a+d the eo+da/y o, autot/a+,o/me/ a/e

    phyiay o++eted.phyiay o++eted.

    !he theo/ytheo/y i amotamot the ameame a to i+di+to i+di+

    t/a+,o/me/.t/a+,o/me/.

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    MZS

    "uto#Transformer ("nal'sis for Ste#"uto#Transformer ("nal'sis for Ste#

    u "utotrans)u "utotrans)

    >1 >1%1

    %1

    VVLL

    VV11

    II11

    VV22

    II22

    IIHH

    VVHH

    aa

    ""

    cc

    IILL

    !o 4 i+di+ !/a+,o/me/!o 4 i+di+ !/a+,o/me/ o++etio+ a a+ Auto-!/a+,o/me/o++etio+ a a+ Auto-!/a+,o/me/

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    MZS

    "uto#Transformer ("nal'sis for Ste#"uto#Transformer ("nal'sis for Ste#

    u "utotrans)u "utotrans)

    21

    1

    VVV

    VV

    H

    L

    +==

    1

    2

    2

    2

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    IIII

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    VAI

    HLsidevoltagelowatRated

    HsidevoltagehighatRated

    autotransRated

    TW

    TW

    +=

    =

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    2#2# C$rrent RatingC$rrent Rating

    VVLL

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    cc

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    1#1# Voltage RatingVoltage Rating

    3#3# A$totrans T$rns%RatioA$totrans T$rns%Ratio

    L

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    Va=

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    MZS

    "uto#Transformer ("nal'sis for Ste#"uto#Transformer ("nal'sis for Ste#

    u "utotrans)u "utotrans)

    kVAIV

    VA

    kVAIV

    VA

    LLL

    HHH

    1***

    1***

    =

    =

    +1**1

    +1**+1**

    (

    ,

    (

    (

    =

    ==

    +=

    =

    in

    losses

    in

    lossesin

    in

    out

    outlossesin

    autotransout

    losses

    P

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    PP

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    thatKnow

    kVAfpP

    factorpowerandP

    Given

    fficiencfficienc(#(# kVA RatingkVA Rating

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    MZS

    "uto#Transformer ($-amle)"uto#Transformer ($-amle)

    1. A i+e phae( 100>A(

    2000?200> to-i+di+

    t/a+,o/me/ i o++eted a a+

    autot/a+,o/me/ a ho+ i+

    &iu/e 1 uh that 2000> iotai+ed at eo+da/y. !he po/tio+

    aa i the 200> i+di+( a+d the

    po/tio+ i the 2000> i+di+.

    ompute the >A /ati+ a a+autot/a+,o/me/. Ao auate the

    e,,iie+y ,o/ a i5e+ oe o,

    200 at 0.66 ai+ poe/

    ,ato/.

    VVLL

    VV11

    II11

    VV22

    II22

    IIHH

    VVHH

    aa

    ""

    cc

    IILL

    )ig$re 1)ig$re 1

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    MZS

    "uto#Transformer ($-amle)"uto#Transformer ($-amle)

    AIII

    AII

    I

    AV

    VAI

    AV

    VAI

    HL

    H

    autotransRated

    TW

    TW

    ..*.*.**

    .**

    .**2**

    1*1**

    .*2***

    1*1**

    1

    2

    3

    2

    2

    3

    1

    1

    =+=+=

    ==

    =

    ==

    ===

    +/1,00

    +1**1*,0..1*,0.2

    ,0..2**1*,0.2

    ,0.2)1*11**(,*

    ,*,2**

    3

    3

    3

    3

    =

    =

    =+=+=

    ==

    ==

    kWPPP

    kWP

    fpandWP

    Given

    outlossesin

    out

    losses

    kVAIV

    VA

    R

    kVAIV

    VA

    LLL

    HH

    H

    11**1***

    )..*)(2***(1***

    11**1***

    ).**)(22**(

    1***

    ===

    ===

    VVVV

    VVV

    H

    L

    22**2**2***

    2***

    21

    1

    =+=+=

    ==

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    MZS

    /aa/aa

    i. Ae+e o, eet/iay ioatio+ i a e/iou d/aa

    i+ ome appiatio+

    "d&antages and Dra4!ac5 of "uto#"d&antages and Dra4!ac5 of "uto#

    TransformerTransformer

    Ad5a+taeAd5a+tae

    i. !he eo+da/y i+di+ i a pa/t o, p/ima/y i+di+.

    $e+e( autot/a+,o/me/ eimi+ate the +eed ,o/ aeimi+ate the +eed ,o/ a

    epa/ate eo+da/y i+di+epa/ate eo+da/y i+di+.

    ii. A a /eut( autot/a+,o/me/ a/e aay mae/(mae/(

    ihte/( a+d heape/ihte/( a+d heape/.

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    Instrument TransformerInstrument Transformer

    >otae !/a+,o/me/ C*ote+tia !/a+,o/me/D>otae !/a+,o/me/ C*ote+tia !/a+,o/me/D

    # ued to meau/e o/ mo+ito/ the 5otae o+

    t/a+miio+ i+e a+d to ioate the mete/i+

    euipme+t ,/om the i+e.

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    Instrument TransformerInstrument Transformer

    u//e+t !/a+,o/me/u//e+t !/a+,o/me/

    # ued to meau/e o/ mo+ito/ the u//e+t i+

    t/a+miio+ i+e a+d to ioate the mete/i+

    euipme+t a+d /eay o++eted to eo+da/y ide.

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    Other T'es of TransformerOther T'es of Transformer

    $ih &/eue+y !/a+,o/me/$ih &/eue+y !/a+,o/me/

    6 #+ eet/o+i poe/ uppie( the/e i aay a +eed to

    ioate the output ,/om the i+put a+d to /edue the

    eiht a+d ot o, u+it.

    6 !he ojeti5e a/e et ahie5ed y ui+ a /eati5ey

    hih ,/eue+y ompa/ed to +o/ma ,/eue+y o,

    90$z ? 60$z.