PowerSystem 03 Transformers Part1

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  • Spring 2014

    ( )

    3. (1)

  • (Electric Circuit) , (Magnetic Circuit) .

    = = (magnetic flux) [Wb]F = (magneto motive force: mmf) [A] = (reluctance) [A/Wb]

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  • (: magnetic permeability):

    (/m) (open circuit).

    . .

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    r0 = 0 : = 1.257 10/: ( ), .

    r

    HB = : (flux density): (flux intensity): (permeability)

  • : 1 . : 1 ( ) : 0 0

    :

    : , , : , ,

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  • ()

    (H ) (B)

    (o) (a) . (a) H=0 (b) . .

    (a)(b)(c)(d)(e)(f)(a) . ( )

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  • 1885 William Stanley

    .

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  • 2

    2 (magnetic core) .

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    - 0 ( = 0)- (magnetic permeability ) . ,

    (reluctance) 0- (leakage flux) . - .

  • (Amperes law)

    (Magnetic field density) .

    , Reluctance ,

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    ===

    =-=

    ==

    cc

    cc

    2211cc

    enclosed

    0BH

    0ININlH

    IdlHF

    Q,

    1

    2

    2

    1

    2211

    NN

    II

    ININ

    =\

    =

  • (Faradays law)

    () N ()

    1 2

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    ( ) ( )dt

    tdNtv f=

    2

    1

    2

    1

    22

    11

    NN

    VV

    (t)dtdN(t)v

    (t)dtdN(t)v

    =

    =

    =

    f

    f

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    2

    1

    1

    2

    2

    1

    NN

    ii

    vv ==

    12 22

    1 2 1 2 11

    2 2 21 22

    1

    L

    N VV N N V NZ Z

    N N NI IIN

    = = = =

    ** *1 2

    1 1 1 2 2 2 2 22 1

    N NS V I V I V I SN N

    = = = =

    :

    :

    1 2 .

  • 3.1 2

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  • .

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  • (Exciting Current) = +

    (): (hysteresis) + (eddy current) :

    :

    (laminated sheet) ():

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  • (Admittance)

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    lHdlHINF

    === [ ]

    AB =HB =

    : (flux density): (flux intensity): (permeability)

    [ ]

    dtdN

    dtdiLe f==

    lINH =

    NLI =

    ( ) ( ) 2Nl

    AI

    Al

    NIN

    IAHN

    IABN

    INL =

    ====

    [ ]

  • 1

    2

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  • 5% .

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  • , , ,

    (Core)

    0.3~0.6mm

    :

    , :

    , , ,

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  • Smartgrid Lab at Kookmin University

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  • : 2 1 1 , 1 1 1 .

    . ( ) .

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  • ()

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  • Smartgrid Lab at Kookmin University

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  • 22.9kV Smartgrid Lab at Kookmin University

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    22.9kV/380V

  • 3.2 , , ,

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  • Q: 200V ?

    (Per-unit)( ) = ( )( )

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  • (Base value)

    :

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  • . . ) 20kW , 100MW

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    =newpuZ

  • . (, , , )

    ( ) 1 2

    . , , 22.9kV

    22.9kV ? , 0.0~1.0

    . 3 Y, Delta , 3

    .

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  • 3.3 2 20kVA, 480/120V, 60Hz . 120V

    = 0.052578.13. 2 1 .

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  • 3.4 3 1 30kVA 240V

    . (, )

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  • 3.5 2.5 = 4800 Y =

    3040 . = 185. = 10 = 480 , a .

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