Industrial Automation 02 DC Machines

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Industrial Automation 02 DC Machines

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  • 2

    2.1 (dc machine),

    . , . , 19 , .

    1832 Hippolyte Pixii. Pixii . , , Werner Von Siemens 1856, . HefnerAlteneck 1872.

    , . , .

    2.2 .

    (stator) (rotor). . 2.1 . . , , B. , .

  • . 2

    22

    S

    +_

    i

    =0

    B

    F

    F

    eR

    r

    ++

    _

    _

    e

    e

    l

    . 2.1

    ,

    . , . , . , (brushes). .

    , . , , . , (. 2.2). , . , , .

    2.2.1

    (. 2.1),

  • . 2

    23

    . , . , . . 1.18,

    ( )e = v B l (2.1) ,

    , . , l,

    e e vBl = = (2.2)

    , .

    S

    N

    . 2.2 ,

    .

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    24

    0 90o 180o 270o 360o

    ee rC

    e rC

    e

    0 90o 180o 270o 360o

    () () . 2.3

    () ()

    , , 2e vBl= (2.3) , . ,

    . 180, . 2.1, . , . , , . 2.3. , (. 2.3).

    . (2.3) . . (2.3), v ,

    rv r= (2.4)

    , r () r rad/s. Sp, , r l. ,

    12 (2 )pS rl rl = = (2.5)

    ,

    pS B = (2.6)

    . (2.4), (2.5) (2.6) . (2.3),

    2e r re C = = (2.7)

    . (2.7) , . ,

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    25

    . Ce 2/. .

    . 2.1 , . R, i. Lenz . 2.1. , Laplace. Laplace, Lenz , . , ( ), .

    2.2.2

    . 2.1,

    . 2.3. . , . 2.1 .

    S

    =0

    B

    F

    F

    R

    r

    ++

    _

    _

    e

    e

    + _

    ie

    bp bn

    R

    +bp

    _bn

    i

    =180

    +

    +

    _

    _

    . 2.4

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    26

    0 90o 180o 270o 360o

    ee rC

    . 2.5 ,

    ,

    (. 2.4). . . , bp . , bn . , (. 2.5). , .

    180 , . (commutation). , . ( ). , .

    2.2.3

    (),

    , . Laplace , . Laplace . 1.19,

    ( )i= F l B (2.8)

    Laplace . 2.6, F F F ilB = = = (2.9)

    0F F = = (2.10)

    Laplace

    sinT T rF rilB = = = (2.11)

    r F, 90. , ,

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    27

    22 TT T T rilB C i i = + = = = (2.12)

    .

    , . 2.5. , . , , (. 2.4).

    . (2.12) . CT, , i . . 2.6 , CT = 2/.

    , , ( ). , ea.

    S

    =0

    B

    F

    F

    V

    r

    ++

    _

    _

    e

    e

    + _

    iea

    bp bn

    . 2.6

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    28

    2.3 ,

    , (armature), . , . , , , . , . , , (coils). (turns). . , , ().

    180 . e m,

    2e mP = (2.13)

    , . 90 . , 180 . , 180 , , . , . (full pitch coils). 180, (fractional pitch coils).

    (simplex) (multiplex). , . . 1, 3, 5 2, 4, 6 , , .

    , (two layer winding). , .

    , , (lap windings), (wave windings) (frog leg).

    2.3.1

    ,

    . . , . , , . ,

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    29

    . . . 2.7 16 .

    . . , .

    , .

    2.3.2

    ,

    (. 2.8). , . , , , , . , , .

    2.3.3

    . 2m, m .

    . 2.7 16

    . 2.8

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    210

    2.4 , ,

    , . , . 2.3. , (yoke), . , , . . 2.9. . 2.10.

    , .

    , , . . . . . , (air gap), . . , .

    . , . , . , . .

    . , . , . , , , .

    , . , . . . . , , , . , , .

    , , . , , . , . , .

  • . 2

    211

    . , , , . (National Electrical Manufacturers Association), 70C, 100C, F 130C 155C.

    N S

    S N

    S S

    N

    N

    . 2.9

  • . 2

    212

    -

    -

    . 2.10 . LeroySomer

    2.5

    ,

    . . , (main field). , ,

  • . 2

    213

    . (armature field), . , , (armature reaction).

    . (flux weakening). 2.5.1

    ,

    . . . 2.4 .

    , . , . 2.11, . , , . (. 2.11) (. 2.11). , . , , .

    , , . , , . , .

    2.5.2

    , . . 2.11 , . . , , . .

    , . , . , . . , .

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    214

    S

    Ne

    Bt

    BaG

    NS

    ()

    Ba

    BeBt

    S

    N e

    Bt

    Ba

    M

    () () . 2.11 (). ()

    () 2.5.3

    , .

    , , . . ,

  • . 2

    215

    . , .

    , , . . 2.12 , . , , . , , .

    S

    N

    N

    d-

    S

    SN

    S N

    G

    . 2.12

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    216

    1hp. , , . , . 2.5.4

    ,

    . , . (compensating winding) . , . , . , , . , , . .

    . , Ldi/dt. , , . .

    2.6 , ,

    , () , . , Pout Pin, Ploss

    out in lossP P P= (2.14) ,

    (efficiency)

    100%outin

    PP

    = (2.15)

    : (copper losses). Pcu

    a e, Ra Re

    2 2cu a a e eP I R I R= + (2.16)

  • . 2

    217

    (iron, core losses). Piron

    . r

    2 1.5iron i rP C (2.17) (mechanical losses). Pfw,

    (friction) (windage). . .

    br br aP V I= (2.18)

    , Ia Vbr . 2V, . (stray losses). ,

    . Pstray . , 1% , .

    2 2stray s a rP C I (2.19) ,

    , loss cu iron fw br strayP P P P P P= + + + + (2.20) , Ce = CT 2/,

    ,

    2e T

    z PC Cb= = (2.21)

    , , z b . , P = 2, z = 2 b = 1.