38 Convertoare Electromecanice II - Curs

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    CONVERTOARE

    ELECTROMECANICE II

    Noti e de curs

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    2

    No iuni generale3.1.3. Înfáçurári de curent alternativ

    y ! "

    # $

    $ m 2

    % & ' & zona de dus(

    & zon de întors. % c N

    mpq N c 2= ) *& " înf urarea întreag # $

    + " ,

    c N p

    2

    = " / "

    - ),( p N c

    =

    mt

    N c . / " ) 0 " ! (

    =

    m N c " (

    =

    m N c2 " ! ) 1

    2

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    )

    3.1.3.2. Înfáçurári trifazate íntr-un singur strat# $ ! "

    24=c N 2= p 3=m ( 2=t 3

    # ) 0 ) 1 (3 # 624

    22/ === " ) 3)

    ) # 42 =

    m

    N c

    (

    , 2 " 3 ) 4 $# "

    32

    5 * 0 1 6 7 8 3 334

    " / A / B /C 4 $

    $9 "

    " , $ "

    : – ;

    (

    Fig. 3.23. Steaua t.e.m. pentru înf surarea analizat.

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    4

    – " "

    < " ) 34 = ! " < " ) 3* ' ; " ) 3) ;

    3.1.3.3. Înfáçurári trifazate ín douá straturi+

    +

    y y = ;

    > "

    "

    m

    N c " " " = " ) 36

    18=c N 2= p 3=m 2/3=q 2

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    *

    < " ) 36 #

    3.1.3.4. Înfáçurári ín colivie9 !

    c N

    " ) 37

    < : 2/1= N

    c N m = "

    3.2.2. T.e.m. indusá íntr-o ínfáçurare de curent alternativ

    # . ? @ " " ) )3 . . v / .A . ?. @ " . . /

    , / ! / .A . ? @ / ? A

    . . # / / .A/ ". / .

    Fig.3.29. Înf uraren colivie.

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    T.e.m. indusá de armonica fundamentalá de spaþiu ?" 1 B B . /

    ?. pn f =1 ) 30

    A "c N p

    2

    =

    # . 1ecU . . / ! . " " ,il

    vl BU iec 11 21= ) 31

    @ n p Dnv == 2 n pl BU iec = 22

    111 ) 36

    < $ .

    ===

    0 01111

    2sin)( iii l B xdx Bl dxl x B ) 37

    111 2=

    f U ec

    ) )8 / ; . . / .

    " " ) )3 . / . " $ .' . . " x

    . " / @ / ? @ "

    < / . / , x . " / @ / ?

    @ " / ?. " /

    x . ? " " ( . " ) )) A . 1eciU 25 ' ;

    / $ c= % @ >

    2sin211

    RU RU eciec == ) )

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    1

    111 iececi K U U = ) )3

    22sin1

    cc K i = ) ))

    / . @ . / .

    < " ) )3 ? ? < " ) )) B . / !

    " A . / ?. . / . / "

    B . / ! . 1esU ? . / C " 3 )8

    " y

    y " ) )4

    1111 22sin2 seciecies K U y

    yU U ==

    ) )4

    y y

    K s 2sin1 = / .A . y y = ).11 = s K

    T.e.m. indusá íntr-o bobiná cu b s spire11 esbeb U sU = ) )*

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    < " ) )4 B . / ! . < " ) )* B . / .

    B & / . .

    =

    =

    q

    k ebk eq U U

    111 )( ' / . "

    111211 )(...)(...)()( ebqebk ebeb U U U U ===== ) )0

    A c

    N p

    2

    = ( " ? ? . / / !

    . >

    2sin2;

    2sin2 11

    q RU RU eqeb == ) )1

    111 r ebeq K qU U =

    2sin

    2sin

    1

    q

    q K r =

    1r K . @ ! 1eqU . + / .A / ". / . "

    11 2 eqe pU U = ) 48

    111111 24 = f K K K pqsU r sibe

    ) 4

    % . . b pqs N 2= A1111 r si B K K K K = / .A .

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    1111 2 = Be NK f U ) 43> ? . A / .A . / !

    11 eqe pU U = b pqs N =

    2. T.e.m. indusá de armonica de ordinul @

    1= ( p p =

    ==

    c N

    p2 ) 40

    < ? . 1 f pnn p f === ) 41

    = Be NK f U 2 ) 46

    3. T.e.m. indusá pe o fazá . ?

    =

    =

    1

    2

    ee U U ) *3

    , . y A / . c

    A ? . ? / .# A / A .. A c @ A y @

    y

    2. Cãmpul magnetic ínvãrtitor circular produs pe cale mecanicá # . A . . ? " ) 43 A

    / .A $ ? . . ' . / @ "

    ? " A / . . ? . ! ?. $ ?.

    2 > " ) 43 $ @ " , ? $ ?. " :

    gReR p B B x B sinsin)( ==

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    eR ! " $ ?. 2 > A $ (

    gR ! " "# . ?. $ ?. 2 # A

    . gSR ! " " $ . ( gS !" " /

    ?. 2 # @ : gR gSR gS += ) 63

    ' . . $ $ ? . " . .

    A A @ " ? 2 # ? ) 6 A ) 63 ?

    @ " ? :)(sin)( gSR gS p B x B = ) 6)

    @ . -8 / ? :

    x pt S A R A eS gS gSR ===.... ) 64

    / ? :

    == t x Bt p p Bt x B gS

    sin)sin(),( ) 6*

    #! ? @ " / @ . A " . / / . D @ . ? . A / @ A

    A .

    1. MAÇINA SINCRONÁ1.PÁRÞI COMPONENTE ÇI MATERIALE UTILIZATE

    E A . A . . . ? " . ? p f n /60 11 = +

    < " ) 43 ,@ "/ @ .

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    . A . @ " . / .A . / . / .A $ ?

    E A . . " A ' . . A

    / ? ? " . ? . .

    ! A . ? " 3 . ? . .

    ! A . / ? , ? A ?/

    < " # ? . . < " 3 # ? . . ! A . . ? ! A . . / ?

    ? . " / ? " turbogenerator . .

    . hidrogenerator . . .B " " / ?

    ? ? .

    " " . ? /? . :'- !3 – ( - 0!1 ! " "

    F " " ? ? ? A . /

    ? . . $ : '- 4! 0 – ( - !3 ! " "

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    Statorul . $. A A A A .

    .? Rotorul A .

    @ / . : ? / ?

    1.1.1. Párþile componente ale statoruluiCarcasa " A

    A ? . A ? /? . .

    Miezul feromagnetic al statorului @ " / A . . . .

    $ " 8 * ' . " . G38!3* .

    " ? $ . . A , " .A

    " ? . . + A A " .

    .B . . . Înfáçurarea statoruluie / .A . / ! /

    $ . . A . / .

    < / .A . A . ? A ?

    . + A D-)! * HI + A A / . . . @ !

    1.1.2. Párþile componente ale rotoruluiA. Rotorul cu poli aparenþi # . A A ?

    *88 J @ + A / A

    A / .A . $ ?

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    * A @ / ? ? A ?" .:

    )(2)()( // x p

    x x B E o E

    µ =

    . ? @ " ? . :

    )( x E ! ? $ ? . A ( ! . (

    )(// x !/ E. / ? ? .

    C k A " ? A sk :

    )()(// xk k x C s = 3 " * .

    ? A . . . " A .A . /

    / .A $ ? E I A @ " "

    # / . .

    E B @ .. .

    1 E B A ' / .

    . . " ; . # . $ " . A $ A & $ .

    Reac " ia transversalá a indusului / . . ( ) 0, == I U eE ,

    " " 0 K )0( == d q I I I A K a . K. K E 2/

    . . . '1 / $ 21, d d " 0 + L " K

    / A " " > /

    < " * # ? A A @ "

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    16 . K. L " '

    K 0= A K .

    < " 0 > K . : – ? A . A ? @

    ? A .( ! "

    M " 0 . K K K . /

    $ A $ . / $ &' . / .,ct = K .

    @ ? . " . :

    )(2)(

    )( // x p x

    x B aqoaq

    = *

    9 . . " . ? K / . ? @ 2 .

    " ? A ? 1 " 1 A " 1

    " ? " ? :a) Maçiná nesaturatá " . " 1

    A ? " . / / . E B + " ? . 1 .

    . ? " min B . . A? 2 . A ? max M

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    1

    < " 1 ? / . .:! A . .( ! A . .

    < $ A ? / " ? abcd S ? / . ABcd S

    ' " . ? . " F5 " . " F2 A

    " . . . . . . " " $ A . ? / . "

    ? / " E = b) Maçiná saturatá

    " ." 1 A # ?" # . . ? ." " . ?

    ABcd abcd S S . $ A . ? / . @ ? / "

    E <

    Efectele reacþiei transversale sunt urmátoarele:- " A " A (! $ / A . ?. $ ." .(! . $ A . ? / . ?.

    / " . ? "

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    Reacþia longitudinalá a indusului ín cazul 2/ = A . . A "

    6 . )0( == qd I I I # . . . K " 6 '1 / $

    + L K / > A " " / A A @

    < " 6 > K " . 2/ = – ? A . A ? @ ? " A .( ! "

    $ " . A $. @ ? A 2/=" K A " .

    # K . L A K A; ), E I I . L K

    . " 6 L K

    " M " . K K K .

    Reacþia longitudinalá a indusului ín cazul 2/ = A . . A "

    7 . / )0( == qd I I I # . . . A ? . .

    + L K / A

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    7 " " / A A

    @ A A

    < " 7 > K " . 2/ = – ? A . A ? @ ? " A .( ! "

    > K " " /" 7 . . K . r A

    1.3. ECUAÞIILE DE TENSIUNI §I DIAGRAMELEFAZORIALE

    1.3.1. Generatorul sincron cu poli ínecaþi, ?

    . / .A . A # .

    ! N / # . A $ / .A . A @

    A ." " . ? :

    euu Ri $=+ ! :

    > ! ? / .A . .( ! ( ! (

    < " 3) . A

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    eu$ ! / / .A, . " ?

    "

    dt d

    u e =$ 3! $ . / .A

    # / . $ . :% ++= a E )

    E ! $ (a ! $ ? (% ! $

    2 $ . . ? :

    i L

    i L

    Nk

    aa

    E B E

    % %

    =

    =

    =

    4

    % ! . . / .A . ( Bk ! ;(

    E ! $ (a L ! . @ ? (% L ! . @

    , / $ / ? 66 ? :% eeaeE e uuuu ++=$ *

    eE u ! . @ (eau ! . @ (% eu ! . @

    . ? / . . .:

    Riuuuu eeaeE ++= % 0, ? A .

    . . / / 3/2 3/4

    " / $ ? ? . .:

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    3 I RU U U U eeaeE ++= % 1

    ? :

    I jX U

    I jX U

    fNK jU

    e

    aea

    E BeE

    % %

    =

    =

    = 26

    a X ! ? . @ ? (% X ! ? . @

    2 @ . ? 1 / " 34 ! ". A . . / " 3*" . .

    < " 34 ' " . < " 3* ' " . . . . .

    Ecuaþia de tensiuni çi diagrama fazorialá transformatá# / ? :

    I X X jU U aeea )( % % +=+ 7% X X X a s += 38

    s X ! ? . A

    I jX U ses = 3A ? . :

    I RU U U eseE += 33

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    ' " . / " 30 . .

    Ecuaþia de tensiuni çi diagrama fazorialá simplificatá " ; . . ?.

    eseE U U U += 3)' " . . . / " 31

    < " 30 ' " . < " 31 ' " .. .

    1.3.2. Generatorul sincron cu poli aparenþi . . " / ?

    . / .A A " 3) # . ! N / #

    euu Ri $=+ 34

    dt d

    u e =$ 3*! $ . / .A

    % +++= aqad E 30 E ! $ (ad ! $ ? . $ " .(aq ! $ ? . $ .(% ! $ ad L ! . @ ? " (aq L ! . @ ? (

    d i ! " . (

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    3)

    qi ! . , / $ / ? 3* ? :

    % eeaqead eE e uuuuu +++=$ 36ead u ! . @ ? " (eaqu ! . @ . ? / .

    Riuuuuu eeaqead eE +++= % 37 " / $

    ? ? . .: I RU U U U U eeaqead eE +++= % )8

    ? :

    I jX U

    I jX U

    I jX U

    fNK jU

    e

    qaqeaq

    d ad ead

    E BeE

    % %

    =

    =

    =

    = 2

    )

    ad X ! ? . @ ? " ( aq X !

    ? . @ ?

    < " 36 ' " . < " 37 ' " . . . . .

    2 @ . ? )8 / " 36 ! ". A . . / " 37

    " . .

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    Ecuaþia de tensiuni çi diagrama fazorialá transformatá@ . . $

    ? . . :)( qd qaqd ad eeaqead I I jX I jX I jX U U U +=++ % % )3

    .

    %

    %

    X X X

    X X X

    aqq

    ad d

    +=

    +=

    ))

    d X

    ! ? . " . A (q X ! ? . .

    .

    qqeq

    d d ed

    I jX U

    I jX U =

    =

    )4

    I RU U U U eqed eE ++= )*, ? A " .. / " )8 . .

    Ecuaþia de tensiuni çi diagrama fazorialá simplificatá " ; . . ?.

    eqed eE U U U U ++= )0' " . . . / " )

    < " )8 ' " . < " ) ' " .. .

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    3*1.4. CUPLAREA ÍN PARALEL

    A GENERATOARELOR SINCRONE % . / " :

    ! " @ . (

    ! ? . " / / . ? / ? @ " @ (

    ! . A ?M . A A /

    / / . N . " K" )3 " )) . / . ? : I " A ? . "

    3 # " A ? . A) " ? " A ?4 . .

    " . .

    Verificarea condiþiilor çi modul de índeplinire al acestora, ? " . .

    ; . . . " A ? ' .? / . . $ ?

    " A U U g < . U U g > @ . @ ? "

    3 , ? A " A ? A ; . . ; " / @

    Montajul la stingere . " )3

    " " A ? /" )3 ' . .

    321 ,, U U U . / " )3 " A A " A

    ' . / . K A / . M / N / K .

    K K L /" A K

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    , $ / ; " )3 . K A " ! 5 #

    . . 541 ,, U U U . A A "

    / ? . " ? A . K

    < " )3: ! ; " "

    K ( ! " . " A K A 321 ,, U U U .

    Montajul la foc ínvãrtitor# . " )) "

    " A ? / " )) , . 321 ,, U U U

    . . @ / @' . / . K A

    / . # . . 541 ,, U U U A " , / ? . "

    ? A . K

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    )< " )): ! ; / @ "

    K ( ! " . " A K A 321 ,, U U U

    .

    I ? " ? " A ? ; ' . K " / $ K . $. A

    . . .' . K . .

    " . g r g r , K K A " #. . U . / A . .

    , / ? . ? ? " @ . @ ? " .4 2 ? / .

    . montajului la stingere // N / " .

    ; . " L

    K L . / L / K montajului la foc ínvãrtitor ? / . @

    . . .?"

    Consecinþe ín cazul nerespectárii condiþiile . ? "

    / . A " . ? ?

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    vm M p P P ++=1 )7' . . ? / ! " . . ? ? A / " ? :

    01 M M M += 48

    1.5.2. Cuplul çi puterea electromagneticá# " ; . / / .A

    " cos2 mUI P P M =' 4' " . . A

    ? " )* . = 43 ? ? 4

    . A ? :

    sinsincoscos

    mUI

    mUI P M +

    +=

    4)

    # / . cossin I I si I I qd == 44

    ' " . /" )* ? . . $

    qq

    d

    eE d X

    U I

    X U U

    I sincos

    ==

    M K. ?4) 44 A 4* ? . " :

    2sin112

    sin2

    +=

    d qd

    eE M X X

    mU X

    mUU P 40

    " . / . ? ? " .

    (()

    *

    ++,

    -

    +=

    2sin11

    2sin

    2

    d qd

    eE

    X X mU

    X mUU p

    M 41

    # . . " . @. :

    < " )* ' " .. A

    ?

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    -Componenta principalá $ . . A . $ ?

    sin/d

    eE

    X mUU p

    M = 41

    !Componenta auxiliará $ . A ?. . . $ :

    2sin112

    2//

    =

    d q X X mU p

    M 41

    . . .

    " cossincossin

    )sin(sinmUI mUI

    mUI mUI Q=

    ===

    46

    / qd I I , A ? :

    qd qd

    eE

    X mU

    X X mU

    X mUU

    Q22

    2cos112

    cos

    += 47

    # . A . . . . $ ? . $ . . .

    . $ A / . .

    Caracteristica unghiular staticá A :

    ./

    .01

    =

    =

    =

    =

    ...

    )(,ct I

    ct f

    ct U

    f M P

    E

    M *8

    La maçina cu poli ínecaþi / ?. . $ " ? .

    sqd X X X == * " . .

    sin/ s

    eE

    X mUU p M M == *3

    " . . / " )0 .

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    )

    < " )0 " . )( f M = " : ! / ? ( ! ?

    La maçina cu poli aparenþi . " . " )0

    9 . " )0 . " . A /

    "

    1.6. CARACTERISTICILE DE FUNCÞIONARE ALEGENERATORULUI SINCRON

    1.6.1. Caracteristicile generatorului sincron autonom1.Caracteristica de funcþionare ín gol 2 . . . ?. :

    ./

    .01

    =

    =

    =

    =

    0..

    )(0 I

    ct f

    ct n

    I f U E *)

    0U ? / " eE U U =0 ' eE U

    K . $ A $ ? "

    ? / " )(0 E I f U = . .

    . " A)( mmU f =

    , . : A

    < " )1 ? / "

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    32$ ? A . A ? . @ ; " / ? . @ $ .

    . . . A $ ? ' . . "/ . . $ ? . #

    . . . @ " . . .

    2.Caracteristica de scurtcircuit . ; K

    /0

    1=

    ==

    0

    .)(

    U

    ct f I f I

    E sc *4+ ? / .A . . @

    ? OPP> / 2/ > K " M L

    L " / K K. K / " A . L "

    > K )( E sc I f I = . . . / / K +

    K .L A

    .M L K "

    K A . ( $ K **

    .

    3. Caracteristicile de funcþionare ín sarciná K

    ./

    .01

    =

    =

    =

    =

    .cos..

    )(ct

    ct f

    ct I

    I f U E "

    *1

    9 K. . . / . . 0= / " .

    - -8 . / .

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    )) " .

    A - ! F .

    < " 48 / . < " 4 $ " "

    4. Caracteristicile externe K

    ./

    .01

    =

    =

    =

    =

    .cos..

    )(ct

    ct f

    ct I

    I f U E

    " *6

    ' . A $ . / L " N N I U , )2/ " = / L K

    " . . . A L / / D + . . " L /

    A . / "

    5. Caracteristicile de reglare2 K

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    ./

    .01

    =

    =

    =

    =

    .cos..

    )(ct

    ct f

    ct U

    I f I E "

    *7

    < 0 E I $ K "

    K L / " D . M " 43 !

    D -

    A ' . )2/( = / . "

    K " ." . A 'eU A

    D " . K D- . . A

    A $ K

    1.6.2. Caracteristicile de funcþionare ale generatorului sincroncuplat la reþea1.6.2.1. Funcþionarea generatorului sincron la cuplu constant çi

    curent de excitaþie variabila) Funcþionarea ín gol< A . .

    K K. A . A K -8 U U eE = A

    0= " " 4)

    #! Eo I ! $ ? ? / "" . U U eE =

    ' . A $ K Eo E I I > A eE U A /

    " ;. ? . s R A

    < " 43 " "

    < " 4) ! K / . . A

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    )*

    s s

    eE

    jX U

    jX U U

    I

    == 08

    / . K. " " " 4)

    " . . / K A . $ ? ; " /

    ?' . K. K / " $ K Eo E I I <

    I K . / eE

    U A " . K " . " 4)

    2 . ? " A / I ? / " 02 = P . / " 4*

    M . . $ K . . A . / .

    A $ K . A . . / ? 8,0cos =

    c) Caracteristicile ín V, /

    I :

    ./

    .01

    =

    =

    =

    =

    .

    ..

    )(ct P

    ct f

    ct U

    I f I E 0

    M " . ! / .

    K . . .

    )( E I f I = K

    I . / A L / I . / . .

    K . " $ QG8 " $ QP8

    < " 4* / I A

    ,-

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    36

    1.6.2.2. Funcþionarea generatorului sincron la cuplu variabilçi curent de excitaþie constant

    ' . K . " "0 6 . A A K A

    U U eE , . A eE U /. 0 I A 00 ' " . . .

    / " 40 I . . . U A A

    K . " . K' .

    A . K A eE U

    . / . K. U " 0 A !

    A " . " 40 #. . A .. . " . . K

    . K . / " + $ K @

    A . / / . . E A . . . / " "

    a) Stabilitatea staticá a maçinii sincrone# . . "

    K / K )( f P = L .

    , . . " / ? " 41 2 ? . " 0 A

    ? A / " ? :01 M M M += 03

    ' . A 1 M /

    1 M . A " 0 /0 .

    < " 40 I ? / . . A

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    38

    1.8. FUNCÞIONAREA GENERATORULUI SINCRON ÍNREGIM STAÞIONAR NESIMETRIC

    ? $ " ? @ ? A ! ? @ . .

    ? @ # " / A

    . ? . : " ; . ? / ? .(

    " .

    ? . : ? . C B A I I I ,, A ? Cl Bl Al I I I ,, (

    . C B A U U U ,, A A " A .

    / . ? . . A . hhiid d jX R Z jX R Z jX R Z +=+=+= 17

    d Z ! ? . ? @@ A ? / A (

    i Z ! ? . ? @@ A / (

    h Z ! ? . ? @ " A @ $ . @

    " 2 " ? .

    / ? A :! . (! . . (! < ?. " . / . . / .

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    40

    ( )

    ( )

    ( )...

    /

    .

    .

    .

    0

    1

    ==++=

    ==++=

    =++=

    )(31)(

    31

    31

    )(31)(

    31

    31

    031

    22

    22

    22

    22

    aa I aa I I a I a I I

    aa I aa I I a I a I I

    I I I I

    k BC B A Ai

    k BC B A Ad

    C B A Ah

    60

    # . . . . : Ai Ad I I = 61

    ' ? " / .eE ses U I jX U U U =+= 66

    2 . ? . 2 . A . @ @ . ? :

    00

    =+

    =+

    =+

    Ahh Ah

    Aii Ai

    eA Ad d Ad

    I jX U

    I jX U

    U I jX U

    67

    ' . . ? 67 A /

    ? 6* .:eA Aii Ad d U I jX I jX = 78

    ? ? 61 A .:

    id

    eA

    id

    eA Ad X X

    U j

    X X jU

    I +

    =+

    =

    )( 7

    2 A / . :

    id

    e Ad X X

    U I

    += 0 73

    < " *) ' " : ! ( ! ? . A .

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    4

    " *) ! " . // .A . . / .

    2/ ?. . / 2 @ " ? . A . " *) A

    " *) , ? A " .

    :

    )(022

    2

    aa I I a I a

    I I I I I

    Ad Ai Ad

    Bh Bi Bd Bk

    =++=

    =++==

    7)

    # / ? :

    23

    21

    23

    21

    34

    2

    32

    jea

    jea

    j

    j

    ==

    +==

    74

    / / 7) A ? @ 7 ? :

    id

    eA Ad k X X

    U I j I

    +== 332 7*

    . :

    id

    ek X X

    U I

    += 02 3 70

    1.10. MOTORUL SINCRON

    E A . . A / K

    " ' . .

    $ K . . L . / ?. $ L / L ! "

    K " " ? 41 A .

    @ A ? . ". A 2 .

    < " 04 .A A

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    42. L / . . L . A

    arb M M =

    1.10.1.Ecuaþia de tensiuni çi diagrama fazorialá " 04 ! / .A

    A ! . . " A ? . 2 @ !

    N . ? / :euu Ri $= 48

    ' " ? " ? :

    dt d

    u e =$ 4 $ . / .A . :

    % +++= aqad E 43 E ! $ / . $ ? (ad ! $ ? . $ " .(aq ! $ ? . $ .(

    % ! $ ? ? ? .

    .: Riuuuuu eeaqead eE += % 4)

    " / $ I RU U U U U eeaqead eE += % 44

    ; ? . " . A . . /

    ? " 0* " 00, . . ? 0cos1 >= " mUI P

    " 0< . eE U / U " "

    . A . K K .$ K A A . . / K

    0sin

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    4)

    < " 0* ' " . < " 00 ' " . . . . .

    1.10.2. Bilanþul puterilor active la motorul sincron " 01 ? ? . ? :

    1 P ! . . . ? ( M P ! " . . (

    < " 01 5 ? < " 06 # ? . ? A

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    44

    2 P ! . . (vm p + ! A ? (

    Fe P ! / / " (Cu P ! / / .A

    Ecuaþia de miçcare ín regim staþionar5 ? :

    Fevm M p p P P ++= +2 4*

    # / ? A ? ? A / " ? :02 M M M += 40

    Avantajele motorului sincron faþá de cel asincron! K . ! cos K.

    K / ; / . .? (

    ! ? . " $ / ? $ K Dezavantajele motorului sincron faþá de cel asincron! .K " K K.

    " . (! K A . A .K / K (

    1.10.3. Pornirea motorului sincron, K A . .

    " K . A .

    A. Pornirea cu motor auxiliar A K

    . $ A . K . / K "B. Pornirea cu frecvenþá reglabilá, .

    A K. " . K . +? . -3!) F ? @ "

    / .A . min/)65(1 rot n =

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    4*' . / .A $ ? . A .

    @ / A , K K K

    K . K . KK .

    E . A ? .

    C. Pornirea ín asincron

    2 . . . / .A . / colivie de pornire A. 2 @ / .A ? .

    @ " / @ . /

    ? ? A @ " . " as M / A

    @ ; " ? . 195,09,0 nn = / . K rez as M M =

    . / .A $ ?

    , L ". K K A s M . ?# . .

    L $ ? A ? /?. > / L A K

    . .+ A K /

    / K $ K 2 $ . K " . . " A . $ A & ,

    / . .? :a) Se scurtcircuiteazá ínfáçurarea de excitaþie, . / / .A $ ?

    .A $ ? . @ " . .@ " / @ . A .2 / ?. ? :

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    46

    nnn

    nnn

    p sf

    p f

    n ==== 11

    11

    122

    6060 41

    @ A ?. ? :12 nnnnd =+= 46

    A . @ " d M

    @ A ?. ? :)21()1(22 11112 snn snnnnnn i ==== 47

    ? @ A ? / .A . -8 *, ? . .

    .

    < " 1 : ! / .A $ ? . / ( ! / .A $ . .

    ' . s M . . / . 2 A 5 ?

    $ ? . / ? A @ . ; " / 5 . 15,0 nn = ? / . ?

    , ? . ?. . . ? . ; ". / 2 '

    . $ ? b) Se lasá deschisá ínfáçurarea de excitaþie

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    41 / . . / / .A

    . A $ . . "? % . . .

    c) Se conecteazá ínfáçurarea de excitaþie pe o rezistenþá . / .A $ ? ?.

    . ex s R R )108( = / .A $ ? i M " 1 A ? d M . A

    # . / . A ? / 2 /

    2 ? . /

    1.10.4. Caracteristicile de funcþionare ale motorului sincron2 :

    ./

    .01

    =

    =

    =

    =

    ...

    )(cos,,,,, 2ct I

    ct f

    ct U

    P f n M I P

    E

    " 6 *8

    A / " 1)

    < " 1) < " 14 )(cos 2 P f =")(,,, 2 P f I M n =6

    A K $ ?

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    47> " " .

    $ ? . / " A . ./ ? . .? /

    E . . /

    ? A . / ?

    . /a I . A ? / . . /r I .

    / I " 1* # . . . . . . A

    ' / . /r I . @ ? r I

    . . . A //r I . A

    . . .?

    < " 1* # / . .? @ . . .

    . ; / . .? !" ;

    Observaþie. A " ? . ! ?

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    50

    2. MA§INA DE CURENT CONTINUUE A . @ .

    " @ $ ; AA . " . / ? / " @A . ? A . . ' .

    / . . $ ? . :! A $ ? . @ / .A $ ? . . .(! A $ ? ? @ / .A $ ?

    . (! A $ ? @ / .A $ ?

    . / (! A $ ? $ . @ .

    / .A . $ ? ? A .

    2.1.1. Párþile componenete ale statorului# $. A . inductoare

    @ " A .Carcasa . . $ . A

    $ A . $ . ? ; + ; A ; "

    / A A ; " " < . @" / / / "

    . A " ? A / ? . .

    + A A . A $ . . .

    / . ? " !3 * . ? " 8 * /

    $ " A . . A

    Polii principali $ . ? " !3 * A ? A / " $ ?

    . A ?. ? ? .

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    *2 A ? / .A . $ ? A $ .

    . A M A ? " @ " ? . /

    . / Polii auxiliari / " / ? . ?

    A ? " ? . ? / $ $ A

    / . .? ? A Infáçurárile de excitaþie A $ $ .

    . " / ? . 5 . / ! / @ . ? . @

    " + ? A .

    @ A ? . " ; . / " înfáçurarea de compensaþie, .

    / . /

    2.1.2. Párþile componenete ale rotorului> A A

    Miezul feromagnetic A ? . B

    ? . . . . " 8 * . $ / /

    " ' "

    . " . cml 203 @ . . A .

    . ? $ " " .

    . . ? . ? Infáçurarea indusului . /. . "

    . / .A . . "/ B / .A . . . . . .

    . . / . / .A .

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    52

    2 / .A . / . A A ínfáçurári de curent continuu. # ?

    . / ? A .Colectorul A

    A . ? . @ / @ A ?. @ " ".

    / .A . > / "

    / $ A / .A / A2.3.1.Tensiunea electromotoare indusá> ? l S .A

    med esbie U N U = 3 3? . " 3 6

    a K

    N b 2= 3 33

    A . S ! .med ec smed es U wU 2= 3 3)

    i ? . .(

    N – . " . S .A . (

    3 – . . S ( sw ! . . (

    med ecU ! S ! ' " ? " A .:

    aimed med ec v L BU = 3 34med B ? " S S (

    i L ! " . A (av – .

    + A ? :

    60 Dn

    va

    = 3 3*

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    *)' ! (

    ! S J' . S ? (

    p D2

    = 3 30

    .

    602 n p

    va

    = 3 31, ? S .

    = n K U ee 3 36

    a pN

    K e 60= 3 37

    . . K A (med ii B L = 3 )8

    $ A

    2.3.2. Cuplul electromagnetic al maçinii de current continuu+ K / . A

    " K L" A / .A :

    == M I U P ae M 3 ) . @ S ? 3 36 A 3 37 :

    ama

    aae I K I

    a pN

    n

    nI a

    pN I U

    M ==== 2

    602

    60 3 )3

    a pN K m 2

    = 3 )) . . K A

    " K . $ A K K

    " A a I

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    54

    In concluzie " @A ? . " "

    2.4. GENERATOARE DE CURENT CONTINUU9 A . K . generator L

    A . A . .

    2.4.1. Bilanþul de puteri çi ecuaþiile generatorului decurent continuu separata# . $ "

    $ ? . ? @ S . ? " 3 30 . ? ? :

    ! = 11 M P puterea mecanicá . (

    ! UI P =2 puterea electricá . (! ae M I U M P == puterea electromagneticá,

    ! . S (! vm p + A K (! Fe p / / K A ; " A K. / .

    . (! eexex I U p = / / .A $ (! 2aaCua I R p = / / .A

    (! a R ? S .A . (! a pect I U p = / .A

    Ecuaþia de miçcare' ? K

    Fevm M p p P P ++= +1 3 )4

    < " 3 30 5 ? "

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    ** % . vm Fe p p p ++=0 . "

    ? S " S S . "001 = p P P M 3 )*

    , S . ? ? ! " . ? ? A S " ? T

    !:001 = M M M 3 )0

    ! 1 M ( ! " ( ! 0 M

    Ecuaþia de tensiuni la generatorul de curent contiuu, ! " 3 30 . ?:

    ct Cua M p p P P =2 3 )6 $ :

    a peaaae I U I R I U UI = 2 3 )7' " $ ? . a I I =

    . " S . ? ? ? ? :

    peaae U I RU U = 3 48 . . . ! S aa I R

    aae I RU U = 3 42.4.2. Curbele caracteristice ale generatorului cuexcitaþie separatáM " 3 31 . / "

    $ K .

    < " 3 31 # $ . " $ ? .

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    56

    Caracteristica de funcþionare ín gol

    /01

    =

    ==

    .0

    )(0 ct n I

    I f U e 3 4)

    + ? S " . 00 eU U = A 00 eU eemme I N U 2== )(0 e I f U = . . .

    " . A)(0 mmU f = ' . A .

    " 00 U 0=e I L

    $ K $ K L ,c R K

    . "" 3 36 + . .

    $ K " .

    . . M . . ". . . $ K A . . .

    , . $ . remU $ rem A

    ' . " L . *! 3 N U , K K , . ." " . A + A . ; . , .

    Caractersitica de sarciná . ?. :

    /01

    =

    ==

    .

    .)(

    ct n

    ct I I f U e 3 4*

    # . $ " 3 31 / K . s R . $ K

    c R . . -

    < " 3 36 ? S "

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    *1 " . . . / -8 < . 3

    . / " 3 ) A K . A " . . . " . - L 2 . " ( L . .

    < " 3 ) . < " 3 )3 $ .

    Caractersitica externá# A ? :

    /01

    =

    ==

    .

    .)(

    ct n

    ct I I f U e 3 40

    A . / " 3 )3# . . A

    . :! " ?

    ? S . (! . K a R

    $ K A . N N I U , A A

    $ K ' . A K . . / , "

    3 )3 A . L . / " A 0U I K . " A K :

    %1000 N

    N

    U

    U U U

    = 3 41

    M )%105( =U

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    58

    < " 3 )) $ < " 3 )4 " ;

    M " 3 )) . " . $ " A

    " , A " . L 2 . " ( L ct I e = .

    .

    Caracteristica de reglare# A ? :

    /01

    =

    =

    = ..

    )( ct nct U

    I f I e 3 46 " 3 )4 . " . S

    " 3 )4 " . ' " " . A K . .

    / L L . D- M " . ! " ; N U U =

    # . . A A $ K / L . . A . .

    .

    2.4.3. Curbele caracteristice ale generatorului cuexcitaþie derivaþieU $ K K /

    " 3 )* M .A $ K . . . )%52( =e I . / .A .

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    *7" . / . A $ K

    .

    < " 3 )* # $ . " $ K K

    Procesul de autoexcitaþie / . ." K / N A . " / / .A

    eu . A / / .A A / .A $ A + . . / .A . / L $

    / .A $ K . / $ eu A . . A / .A $ K A

    ' K 3 47 L . / ea ii = K

    dt

    di L Li R R Ru eeaeece )()( ++++= 3 *8

    M " 3 )0 . ")( ee I f U = 3 . $ K .

    ).()( eeec I f I R R R =++

    , $ K . L . / , K 3 0=

    dt

    di e

    # . . . eU A . . " K ec R R Rtg ++= A

    L c R < K . L K , K , K. . ccr R

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    60

    / L 3 . K 3C . K / cr " $ . " ,

    K K .( ccr c R R > 3VV

    . $ K' . . .

    $ K . S . ? :

    ! . $ L " S A . (

    3! $ S .A $ ? . S (

    )! ? . $ ? . . @

    . ccr c R R < ' .

    ? S . ? @

    " $ ? : # ? c R @ . S ? ccr c R R < ' . S ? S . . ? S .

    . " . ? ! S A . S .A $ ? $ . .

    ' . A ? .S . . S A . @ "

    @ . / .A $ K . . @

    Observaþii:B 0U / " " . eU . K / .A . A

    K ea I I = " ; (

    < " 3 )0 $ . $ K

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    0 K , . " B " KA A K A . K L '

    " K . . A " ; L c R

    2 $ K A . / N / M " K K K "

    K 3 47 A . .

    ea

    eec

    aae

    I I I

    I R RU

    I RU U

    +=

    +=

    =

    )(;

    3 *

    Caracteristica de funcþionare in gol

    /01

    =

    ==

    .0

    )(0 ct n I

    I f U e 3 *3

    M L

    00 eU U =

    / " . . " $ ? . . S .$ " L K c R / ( ),0

    Caracteristica externá

    /01

    =

    ==

    ..

    )(ct n

    ct R I f U c 3 *)

    ' $ . c R . N U

    . N I

    M " 3 )6 $ " $ K A . 3 # . . K . / . " K : L ". . " $ K . S :

    < " 3 )1 ? S "

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    62

    ! $

    +=

    cee R R

    U I A

    $ A' . . K . s R

    " A L . $ . cr I curentcritic . . L

    L K . s R A . K .

    / ( A sc I .

    . " . A . , K "

    $ K . A .

    N ae sc I RU I )2010(/ ÷== $ K . L ! $

    A . eU

    Caracteristica de sarciná

    /01

    =

    ==

    .

    .)(

    ct n

    ct I I f U e 3 *4

    çi cracteristica de reglare

    ..

    )(ct n

    ct U I f I e

    =

    == 3 **

    A . " $ K . K

    Caracteristica de scurtcircuit . "K / L . A / .A $ K

    . $ $ . A

    2.4.5. Caracteristicile generatorului cu excitaþie mixtá# " $ $ . . / "

    3 43 U . . / .A . $ K K $A $ ' . $ / .A . $ $ A

    < " 3 )6 $ " $ K A

    .

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    0)" excitaþie mixtá adiþionalá diferenþialá '" . / .A K / .A $ K .

    / .A . . .

    < " 3 43 # $ . " $ K $ .

    . / L caracteristica externá "$ + / " A . " KL " / .A $ M ./ .A A L A

    . ! K "K

    M " 3 4) ! $ .

    " K ' . . A A N I . .

    / " / .A. . K

    A . / L . . . 3 #

    . " normal compundat ' . A / .A .

    A . N I . . / " )

    " supracompundat + K . / .A . ? S

    . $ " A 4 " anticompundat

    < " 3 4) $

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    64

    , . . K " . . $

    2.5. MOTOARE DE CURENT CONTINUU9 A . K . L A

    . A . . + A . "

    2.5.1. Bilanþul de puteri çi ecuaþiile motorului de curent continuu# . $ $ ? . " 3 4* . ? :! UI P =1 puterea electricá . ? (! = 22 M P puterea mecanicá . (! ae M I U M P == puterea electromagneticá,

    ! . S (! vm p + A K (! Fe p / / K A ; "

    A K. / . . (! eexex I U p = / / .A $ ? (! 2aaCua I R p = / / .A

    (! a R ? . S .A . (! a pect I U p =

    ! Ecuaþia de miçcare' ? K

    Fevm M p p P P ++= +2 3 *6 % . vm Fe p p p ++=0 . "

    ? S " S S . 002 = p P P M 3 *7

    < " 3 4* 5 ?

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    0*, S . ? ? ? ? A S "

    ? T !:002 = M M M 3 08

    ! 2 M (! " (! 0 M

    " ? A :

    dt d

    J M M M

    =02 3 0

    Ecuaþia de tensiuni la motorul de curent contiuu, " 3 4* . ?:

    ct Cua M p p P P ++=1 3 03a peaaae I U I R I U UI ++= 2 3 0)

    ' $ ? . a I I = S . ? peaae U I RU U ++= 3 04

    aae I RU U += 3 0*

    2.5.2. Caracteristicile motorului derivaþie

    < " 3 40 # $ . ?

    .A $ ? . . . N e I I )%52( ÷=

    ? ? S " ? :

    ea

    eec

    aae

    I I I

    I R RU

    I RU U

    +=

    +=

    +=

    )(;

    3 01

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    66

    Caracteristicile de funcþionare ale motorului derivaþie1) Caracteristica vitezei# A ? :

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U U

    P f n 0)( 2 3 06

    aae I Rn K U += 3 072 . ? . . ? :

    se

    aa

    ee

    aa nn K

    I R K

    U K

    I RU n === 0 3 18

    0n ! ? S " .(=

    e K U

    n0 3 1

    sn ! . ? ? S .(

    =

    e

    aa s K

    I Rn 3 13

    2 @ ? 3 18 S @ " ; . ? .ct =

    A . )( a I f n = .? . " .

    . . ' ." ;. ?

    $ ? a I P '2

    ? )( 2 P f n =

    . ." . . S " 3 41+ ? . ? . .

    . )%85( ÷= sn Observaþie# ? " .

    . @ . . $

    < " 3 41

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    01K A 2 P 3 2 / "/ L . K .

    3 Caracteristica cuplului

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U U

    P f M 0)( 2 3 1)

    # A L / ? A S " ? 20 M M M +=

    A ? :2 M !

    .(= 22

    P M 3 14

    0 M ! S . A (+

    == + vm Fe p p p M 00 3 1*

    ' . ? S . .ct = @ ? . " 3 46 + A . .S @ ? 3

    ) Caracteristica curentului

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U U

    P f I 0)( 2 3 10

    # A L / ? "am I K M = A ? ea I I I += # . . )( 2 P f I a = ? . . )( 2 P f I e =

    . > " . . S " 3 47 ! ! . .ct = A 3! .

    < " 3 46

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    68

    < " 3 47 < " 3 *8

    4 Caracteristica randamentului

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U U

    P f 0)( 26 3 11

    , ? :

    112 1 P p P P $

    ==6 3 16 p$ ! A .

    E A A )%9475( ÷=6 . " 3 *8

    Caracteristicile mecanice ale motorului derivaþie9 K. . . / K .

    caracteristica mecanicá . :

    ./

    .0

    1

    =

    =

    =

    =

    ..

    .

    )(ct ct R

    ct U

    M f n s 3 17

    , ? . ? / A =m

    a K M

    I

    sme

    a

    e

    nn K K

    M R K

    U n == 02 3 68

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    07

    0n ! ? S " . . 3 1 ( sn ! . ? ? S .(

    2=

    me

    a s

    K K

    M Rn 3 6

    @ " ; . ?

    .ct = . . )( M f n =. ? .

    " . . .1) Caracteristica mecanicá naturalá

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U U

    M f n 0)( 3 63

    + ? . ? . . .

    )%85( ÷= sn @ . . " . " 3 * !

    . . / @ . ? @ .ct ' 1) Caracteristicile mecanice artificiale de tensiune

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U ct U

    M f n 0.

    )( 3 6)

    ? ? :

    sme

    a

    e

    nn K K

    M R K U

    n == /02/

    3 64

    . . sn - . ? S " .=

    e K U

    n/

    /0 3 6*

    A . . . . # . . :

    N U U > :

    < " 3 * ..

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    70

    ! A S

    ? @ (! .

    ? . "

    N U U < .

    A

    " 3 *3

    2) Caracteristicile mecanice artificiale reostatice

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    ct R

    U U

    M f n 0.)( 3 60

    , ? S ? :/

    02)(

    sme

    sa

    e

    nn K K

    M R R K

    U n =

    += 3 61

    ? S " . 0n ! A . ?

    2/ )( +

    =

    me

    sa s

    K K

    M R Rn 3 66

    2 A ? .

    .

    ! s R A

    . ." 3 *)

    < " 3 *3

    < " 3 *)

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    12) Caracteristicile mecanice artificiale de flux

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    ct

    R

    U U

    M f n

    .0)( 3 60

    , $ ? . ? ://

    02//)(

    sme

    sa

    e

    nn K K

    M R R

    K

    U n =

    += 3 61

    . . ! ? S " .

    //0 =

    e K U n 3 66

    A . ?

    2// =

    me

    a s

    K K

    M Rn 3 66

    ? A . ?

    $ N < i

    A . " 3 **

    2.5.3. Caracteristicile motorului serie.A $ ? . . . ae I I =

    . S S .A ' . .? A

    ? S " . . $ .

    < " 3 *0 # $ .

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    72

    ? S " ? .:

    ea

    aae

    I I I

    I RU U ==

    += ;3 78

    , ? 3 0* A @ S ? 3 36 ? ? ? :

    ==

    e

    aa

    ee

    aa

    K I R

    K U

    K I RU

    n 3 73

    Caracteristicile mecanice ale motorului serie K . caracteristicilemecanice :

    ./

    .01

    =

    =

    =

    =

    ..

    .)(

    ct

    ct R

    ct U

    M f n s 3 70

    + A . 2am KI K M =

    . K K

    M I

    ma

    = ? 3 73 .

    21 K R

    M K

    U K K

    R

    K K M

    K K

    U n a

    e

    a

    me

    == 3 71

    , A . ct 7

    a sm I K M = . sm

    a K M

    I = , S ?

    2 sme

    a

    se K K M R

    K U

    n = 3 76

    A . )( M f n = . ? 3 71 . . 3 76

    1) Caracteristica mecanicá naturalá " 3 *7 ! . .

    . ! ? . . . 9 . A elasticá (moale

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    1)

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U U

    M f n 0)( 3 77

    + K . " A A ! ". /K . A / K .

    " ( . K A

    . . K / "

    3 ) Caracteristicile mecanice artificiale de tensiune

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    R

    U ct U

    M f n 0.

    )( 3 88

    ? ? :

    ! ? 21

    /

    K R

    M K

    U n

    a=

    3 8

    ! ? 2/

    sme

    a

    se k K M R

    K U

    n = 3 83

    ? . N U U < @

    A . . A

    $ / " 3 08

    2) Caracteristicile mecanice artificiale reostatice

    < " 3 *7 ..

    < " 3 08

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    74

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    ct R

    U U

    M f n 0.)( 3 8)

    , ? S ? :

    ! ? 21 K R R

    M K

    U n sa

    += 3 84

    ! ?

    2)( sme

    sa

    se k K M R R

    K U

    n+

    = 3 8*

    " 3 0 . . ? s R

    / ? ?

    3) Caracteristicile mecanice artificiale de flux

    ./

    .01

    =

    =

    =

    =

    N

    s

    N

    ct

    R

    U U

    M f n

    .0)( 3 80

    ' $ . . A " A

    / .A . $ ? " ? / .

    . ?. W N <

    $ A / ? . / ? " 3 03

    < " 3 0

    < " 3 03 $

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    1*2.5.4. Caracteristicile motorului mixt

    E $ ? $ . S" 3 0) < $ .

    / .A . ? $ A $ . / .A . . ; ? @

    $ A . . A ? @ $ E ; ? . / . ?

    A / . A . ? .

    < " 3 0) # $ .

    Caracteristicile mecanice ale motorului mixt

    . , $ ? A / " 3 04 ! A :

    ! ? (

    ! 3 (

    ! ) $ ? ?

    . . " . . .

    / .A (! 4

    $ . . / .? @ ? ? / " (

    ! * $ ?

    < " 3 04 $

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    76

    # . . . / .A . $ K A A K .

    . K . A $ " / .

    2.6. PORNIREA MOTORULUI DE CURENT CONTINUU

    , . / .. ( ? . . A . . " "M .

    " A K / K A

    2.6.1. Pornirea prin cuplare directá la reþea2 . . . .

    L . 0HX ?

    .

    .

    .

    .

    .

    /

    .

    ..

    .

    .

    0

    1

    =

    =

    =

    +=

    =

    ++=

    )(

    );(

    )(

    e

    am

    r

    eee E ex

    ee

    eaaaaa

    i f

    i K mdt d

    J mm

    i Ldt d

    i Ru

    n K u

    ui Ldt d

    i Ru

    3 81

    # / motorul derivaþie .M .U uu exa == .K ea L L , / .A . A/ .A . $ K . . K

    # . . L ". regimul tranzitoriu mecanic K K A regim tranzitoriu electromagnetic

    K K A $ ! regim tranzitoriu unic electromecanic. L 0, =< nmm r A K

    dt di

    Li RU aaaa += 3 86

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    11# K K . K $ K .

    a

    aa R

    LT = . . a p RU I /max = 2

    K A K . .

    , r mm > . / K L L

    K / K Y ( 0n A

    0eu p I /

    . . . =

    M

    r f K

    M I " 3 0*

    r mm = B K f n / " . 3 0*

    =

    e

    f a f K

    I RU n L A

    A L p I / . . . max p I "

    L ai L A $ ' $ K K

    / / .A $ K . . / L L " A

    $ K A p

    I A

    + motorul serie A . A $ A A

    , . / K . N p I I )1510( = A / !

    -8 83 0=r M pt - 8 !8 )

    < " 3 0* A K / . K

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    78

    M L / " p I L . p I A "

    p M . 2 " ; / K

    2.6.2. Pornirea reostaticá+ A .

    / . p R L . . . A . / K

    M .A $ K . K c R A . K K. . " 3 01 M K $ $ . " A

    A A# " ; . A . . - 8

    A - 8 / .A

    p p R

    U I =max 3 34

    p R

    K . A ' . / @ . / . ( N p I I )7,15,1(max = A

    N p I I )2,11,1(min =

    ; p

    ea R

    n K U I

    = 3 3*

    . K . p R " 3 06 A . . f I . .

    < " 3 01 # . K

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    17

    > K K. / . M " 3 01 K . /

    iC L . . / 1C ?

    1 R / L ? . 1 p R ai A K . max p I M .:

    . K 1 p R L . min p I L . K / L

    . . max p I # / K i R .

    / ), minmax p p I I K i R minmax, p p I I " . .:

    ! ? 3 0* . / 2max0 p pe I R K U += 3 30

    . ? p R . :

    max p p I

    U R = 3 31! ? . 5

    p R 1 p R

    max11

    min1

    p pe

    p pe

    I Rn K U

    I Rn K U

    +=

    +=

    3 36

    ' ? . ?

    p p

    p p R I

    I R

    min

    max1 = 3 37

    2 @ ; . ? :

    n p

    n p

    R R R R

    R R R R R

    +++=

    ++++=

    ......

    32

    321 3 )8

    . . . . ?.:11 p p R R R = 3 )

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    80

    Observaþie, ? ?

    / . . . ? . /

    " 3 1

    , . . . ; :! . .(! ? (! . ; :

    ! "

    2.6.3. Pornirea cu tensiune redusá+ A A

    . .

    . A " . . A . /? @ . ; " . # / ? .

    M .A $ K . K c R A . K K. . " 3 13 M

    K $ $ . " A A A

    < " 3 07 )( a I f n = . ? A

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    6

    ;/

    a

    ea R

    n K U I

    = 3 )6

    < " 3 13 # . K

    # . / @ N p I I )7,15,1(max =A N p I I )2,11,1(min =

    ? . . 1U . / . max p I # ?

    ? A A ?. . 1U L

    . . . . . . / @ai A K . max p I M

    # / @ . / ), minmax p p I I

    iU minmax, p p I I " . .:! ? 3 0* . / 2

    max1 0 pae I R K U += 3 )7 . . / (

    ! ? . 5 . 1U 2U

    max12

    min11

    pae

    pae

    I Rn K U

    I Rn K U

    +=

    +=

    3 48

    ' ? . ?a p p R I I U U )( minmax12 += 3 4

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    82

    , @ / " .

    < " 3 1) )( a I f n = . . ?

    Observaþie., ? /

    . . . ? . /

    , . . ; :! . . . A (! ; .(! " ' ; :! " .

    2.7. REGLAJUL VITEZEI MOTOARELOR DECURENT CONTINUU

    E " K " K=

    e

    aaa

    K I RU

    n 3 )8

    A . : E aU ( 3 ? ( ) E $

    A 2 .K " ; L.ct M r = . ! :

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    6) U " minmax / nn=8

    3 ' " ;) " ;4 2

    2.7.1. Reglajul vitezei prin variaþia tensiunii .

    " . A ? . N U U <

    < " 3 14 " ; ? : ? ( " .ct M r = / "

    3 14 ? A / " 3 14 ? .

    Indici tehnico- economici . . : U " 108/ minmax ÷== nn8

    .?

    3 ' " ; : ..) " ; : / ?

    4 2 :! ? ; .

    " . .(

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    84

    ! " ; . / @ " .

    2.7.2. Reglajul vitezei prin metoda restaticá / ! ?. "

    0> s R ? > ? . " ". .

    . ?. . " # . . /

    " ! " " ;

    < " 3 1* " ; .: ? (

    " .ct M r = / "3 1* ? A / " 3 1*

    / ? . Indici tehnico- economici :

    U " 32/ minmax ÷== nn8 .

    " 3 ' " ; : ..

    ) " ; : / . ? .

    4 2 :! ? ; . ?

    (

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    6*! " ; . / @ . "

    2.7.3. Reglajul vitezei prin variaþia fluxului de excitaþie ? .

    $ # / otorul derivaþie $ $ ? K e I ; @ c R :

    ceee R R

    U

    I I f +==

    )( 3 )7+ ? $ ! . . " A .

    $ $ N < K

    //02// s

    me

    a

    e

    nn K K

    M R

    K U

    n == 3 48

    . A K / " A A A . K ;/ sn . .

    A / " 3 10

    < " 3 10 " ; $ : ? (

    B / . . $ ,ct M M r == A K

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    86

    )am I K M = . .A . . M " 3 10! . . > . . ;

    . K L ". L ct M r = La motorul serie @ " 9 "

    ? $ ? :

    m

    ee

    m

    e

    R I w

    R

    2==

    3 4

    e ! ? $ ? (m R ! ? " . . $ (ew ! . / .A . $ ? (

    e I ! $ ?2 @ . ? . . .

    $ :! . / .A $ ?

    . .

    " (

    ! A / .A . $ ? " 3 11 . ". @ . $ ? ?

    . A . @ N @ :

    aed

    d e I R R

    R I

    += 3 43

    Indici de relare . :

    U " 32/

    minmax ÷== nn8

    A . . ? . $ . :! / . .K A K A

    / . / K (! . ? . @ " A .

    . K . ?

    . . . . (

    < " 3 11 # ; A $ ?

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    613 ' " ;

    ) " ; ! / (

    ? ? c R d R 4 2 :

    ! ? ; . / $ ? (! " ; . "

    2.8. FRÃNAREA MOTOARELOR DE CURENT CONTINUU# . @ :! @ .(! @ (! @ .

    2.8.1. Frãnarea recuperativá9 A . " / "

    @ . . @ . /

    A / ? A ? A @ " .? ? . .

    Frãnarea recuperativá la motorul derivaþie#. . $

    . A

    K . / 2 . .

    " 3 16 @ . .

    . / a M " ? . " .? A

    / ? A ? A

    A ? . . @ !

    .A ? / " . 0n

    < " 3 16 L. ?

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    88

    . ? / A . . A @ # ; " ? . / 5 " 3 16 @ .

    ? . / . . f a M M = ' . . . @ .

    ?. @ f R / 5C 2 . . L . ; /

    K . L Cazul motorului serie' ? / " . .

    . / @.

    Frãnarea recuperativá la motorul mixt+ $ . .? / ? A

    ; ? $ . / .A . : sd += 3 11

    @ A / " @ . . . 0

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    67! . / .A ? A . .(

    ! / ? @, ? @ K

    " . L A A :

    f a

    e f R R

    n K U I

    +

    += 3 4)

    > A . / " A K " L . " . Frãnarea contracurent la motorul derivaþie

    " 3 17 . K 2

    . .. K . /

    5 . . @ 1 f R

    "

    A K L . A@ ? . @ .

    # . . . .? A @

    ' . A @ . . @ @

    ; " . min f M A . ? @ ? .

    2 f R A . A $ . max f M @ M . /A . K

    . r M M > , K K . / 2 . . L L .

    . A .

    < " 3 17 @

    ?

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    90

    Frãnarea contracurent la motorul serie+ . . / .A A

    $ )( a s I f = " . A ? /

    , A / " @ . / .

    / .A $ ? A ? @ / # ? ? @ / . .

    . Frãnarea contracurent la motorul mixt+ $ ? / " @ .

    . ; . $ ? @ $

    . / .A " Bilanþul de puteri: A ? . A

    . ! @ . M K.

    K L . " . A . "M " . . A A

    . / . . ' . ? @ / .A "

    ))3020( N f I I ÷= @ ? A / . / A ' K f R

    . / L A " ; . . . . . / / $ A

    2.8.3. Frânarea dinamicá, / .A . K A

    . ?. @ / .A $ ? . @. /

    A . K .

    f a

    e f R R

    n K I

    += 3 47

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    92

    ! K @ . . cr f f R R < @ / A

    . Frãnarea dinamicá la motorul mixt+ $ ? / " @ . .

    . ; . $ ? @ $

    . / .A " Bilanþul de puteri: / @

    ! @ . A A . ./ . A . A . . . . / . . ? @ # @ ; . . ?

    , ? @ . A @ .