Dieu Khien Dong Co 1 Chieu

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    BI TP LN

    IU KHIN T NG IIGio vin hng dn : PGS.TS Phan Xun MinhSinh vin thc hin : Mai c Chnh

    Nguyn Kh HoanPhm Trung ThnhLp : KT1 K50

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    THIT K B IUKHIN TC CHO NG C

    IN 1 CHIU

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    I. TNG QUAN V NG C

    IN 1 CHIU V CCPHNG PHP IU KHINNG C IN 1 CHIU

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    Khi tin hnh thit k 1 b iu khin nichung, vic u tin ta phi hiu bit vc tnh ca i tng t xy dng mhnh ton hc cho i tng. Cng vicny cung cp cho ta nhng hiu bit vi tng , gip ta thnh cng trong vic

    tng hp b iu khin.

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    1. Cu to, phn loi v nguyn

    l hot ng ca ng c in 1chiu.

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    a. Cu to :

    Kt cu ca ng c in 1 chiu gm 2phn chnh l phn tnh (stator) v phnng (rotor)

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    b. Nguyn l hot ng :

    Khi t ln dy qun kch t mt in pkch t Uk no th trong dy qun kcht s xut hin dng kch t ikt lm xuthin t thng . Tip t mt gi trin p U ln mch phn ng th trongdy qun phn ng s c 1 dng in i

    chy qua. Tng tc gia dng in phnng v t thng kch thch to thnhmmen in t.

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    c. Phn loi :

    Cn c vo phng php kch t ngi ta chia ng c 1chiu thnh cc loi nh sau :- ng c in 1 chiu kch t bng nam chm vnh cu- ng c in 1 chiu kch t c lp ngha l phn ng

    v phn kch t c cp in bi 2 ngun ring r.- ng c in 1 chiu kch thch ni tip : cun dy kch

    thch c mc ni tip vi phn ng.- ng c in 1 chiu kch thch song song : cun dy

    kch thch c mc song vi phn ng.

    - ng c in 1 chiu kch thch hn hp : gm c 2 cundy kch t , 1 cun mc ni tip vi phn ng, 1 cunmc song song vi phn ng.

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    2. M t ton hc ng c in 1chiu

    - Tn hiu vo ud

    - Tn hiu ra n(t)

    Ta c phng trnh ud = i. r + L. + kl. n(t)dt

    di

    (*)

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    T = L/r Thi gian qun tnh in hayhng s thi gian in t

    Thi gian qun tnh c hayhng s thi gian in c.

    kd : hng s khuch i ca ng c.

    Phng trnh (*) l phng trnh m t tonhc ca ng c in 1 chiu.

    t a2 = T. Tc , a1 = Tc , ao = 1 , bo =kd, ta c :

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    M hnh trng thi tuyn tnh:

    t x1 = n(t), x2 = , y(t) = x1dt

    dn

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    M t ng c min tn s

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    3. Cc phng php iu khintc ng c in 1 chiu

    Da vo c tnh c ca ng c in 1 chiu ta c ccphng php iu khin tc sau :

    iu khin tc bng cch thay i t thng .iu khin tc bng cch thay i in tr ph Rf trn

    mch phn ng.iu khin tc bng cch thay i in p phn ng.

    Di y chng em ch cp n phng php iukhin tc ng c in 1 chiu bng cch thay i

    in p phn ng. Phng php ny c s dng chyu iu khin tc ng c in 1 chiu kch tc lp.

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    a. iu khin tc ng c 1 chiu khng ochiu quay dng Tranzito

    - S nguyn l :

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    b. Phng n iu khin c o chiu quay dngTranzito

    - S nguyn l dng Tranzitor :

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    - S nguyn l dng Tranzitor v khuch i

    thut ton :

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    iu khin tc ng c 1 chiu dng Thyristor

    Dng iu khin ng c c cng sut ln vin p phn ng cao.

    - S nguyn l :

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    II. THIT K B IU KHINNG (PID)

    Trn thc t c rt nhiu phng php thit kb iu khin cho ng c 1 chiu nh thit kb iu khin theo lut kinh in ( t l, t l -tch phn, t l - vi phn, t l - vi tch phn),

    theo lut iu khin hin i ( gn im cc,phn hi trng thi-quan st trng thi), theo lutiu khin phi tuyn(SMC, Gain scheduling) .Tuy nhin trong bi tp ln ny chng em sdng phng php thit k b iu khin theo

    lut PID iu khin ng c 1 chiu v biu khin PID c c tnh mm do ph hpcho hu ht cc i tng cng nghip.

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    1. S chc nng:

    My pht tc FT o vn tc x ca ng c a tinhiu ra l in p uFT n khi cng. Khi cng cchc nng so snh tn hiu uFT vi tn hiu t r(t)

    v a sai lch e(t) ti b iu khin. B iukhin da vo sai lch e(t) cp in p iukhin u(t) ti cc thit b chp hnh tng haygim in p ud t phn ng ca ng c.

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    2. S khi

    - My pht tc FT c nhim v o tc x ca ng c,n c cu to v hot ng ging nh 1 my pht inmini c kch t c nh, b chuyn i ny coi nh 1khu khuch i c h s khuch i Kf vi uFT = Kf.x.

    - ng c in 1 chiu bin i tn hiu in thnh tn hiuc theo phng trnh :

    1...)(

    2 ++

    =

    sTsTT

    ksG

    ccu

    d

    C

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    - Thit b chp hnh chuyn tn hiu iu khin u(t) tcng vo cc c cu chp hnh (Tranzitor, Thyisror) iu chnh in p cp vo phn ng ng c .

    tuKtudt

    tduT

    CHd

    d

    CH(.)(

    )(. =+

    - => Thit b chp hnh l khu qun tnh bc nht c

    hm truyn :

    B iu khin thc hin theo lut PID cn c xc nhthng s v cu trc.

    sT

    KG

    CH

    CH

    CH

    .1+=

    )..

    11.( sT

    sTKG

    D

    I

    PK++=

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    => S cu trc :

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    3. Thit k b iu khin PID

    - M hnh tng qut :

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    - Da vo m hnh i tng ta thit k b iukhin theo phng php ti u m un theo lut

    PID - ADD-t KT = KCH.kd.Kf, T1 = TCH, -1/T2 ,-1/T3

    l nghim ca phng trnh

    => Bi ton thit k : La chn cc tham s ca

    b iu khin iu khin i tng c mhnh hm truyn GT(s) nh trn to ra 1 hthng n nh v t tiu chun cht lng.

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    - p dng c phng php ti u mun taa bi ton v m hnh dng chun iu khin:

    Vi l hng s thigian tng.

    Ta nhn c cc tham s ti u ca lut iukhin PID ADD :

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    4. S nguyn l ca h thng iu khin

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    - tng tin cy ca b iu khin, trn thc tngi ta thng chia b PID ra tng thnh phnchc nng :

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    5. nh gi tnh n nh v cht lng ca hthng iu khin

    - Chn ng c 1 chiu c T = 1 , Tc = 4 , kd = 15.- My pht tc c Kf =0.012.- Thit b chp hnh c TCH = 2, KCH = 20

    - Chn ng c 1 chiu c T = 1 , Tc = 4 , kd = 15.

    - My pht tc c Kf =0.012.- Thit b chp hnh c TCH = 2, KCH = 20

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    /* c tnh tn s nyquist

    -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1-1

    -0.8

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 dB

    -20 dB

    -10 dB

    -6 dB

    -4 dB-2 dB

    20 dB

    10 dB

    6 dB

    4 dB2 dB

    Nyquist Diagram

    Real Axis

    ImaginaryAxis

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    /* c tnh tn s lga

    -80

    -60

    -40

    -20

    0

    Mag

    nitude(dB)

    10-3

    10-2

    10-1

    100

    101

    -180

    -135

    -90

    -45

    0

    Phase(de

    g)

    Bode Diagram

    Frequency (rad/sec)

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    Kh t ht l h th

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    c.Kho st cht lng ca h thng sdng Matlab-Simulink

    - Vi tn hiu vo l xung bc thang :

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    - Vi tn hiu vo l xung nhn :

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    - Tn hiu vo l sng hnh sin :

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    - Nhn xt : Mc d cc tn hiu vo khcnhau nhng cht lng ca h lun lunc m bo. Nh vy cu trc ca h

    iu khin l hon ton m bo yu cuv tnh n nh cht lng

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    6. Hiu chnh cc thng s ca b iu khin.

    - Cc thng s ca b iu khin PID c chn theophng php ti u mun nh trn m bo hthng cho lm vic n nh. T th c tnh qu ca h thng ta thy thi gian qu l qu di (35 sec)do cn gim thi gian qu ca h thng hthng c th tc ng nhanh hn.

    - Ta s hiu chnh thng s ca b iu khin PID davo c tnh sau ca cc khu iu khin :- Khu t l c tnh tc ng nhanh, khi u vo c sai

    lch th tc ng ngay tn hiu u ra. Tuy nhin khuny lun tn ti sai lch d.

    - Khu tch phn loi b sai lch d ca h thng nhngl khu tc ng chm.- Khu vi phn l khu tc ng nhanh

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    - u tin ta gim thi gian qu bng cch tng h sKP : chn KP1 = 0.93, KP2 = 5, KP3 = 10 ng vi ccm hnh hm truyn h kn gk1, gk2, gk3 ta uc th

    c tnh qu xung :Step Response

    Time (sec)

    Amplitude

    0 5 10 15 20 25 30 35 40 450

    0.5

    1

    1.5

    System: gk1

    Time (sec): 33.3

    Amplitude: 0.994

    System: gk2

    Time (sec): 6.24

    Amplitude: 0.995

    System: gk3

    Time (sec): 4Amplitude: 0.995

    System: gk3

    Time (sec): 6.87

    Amplitude: 1.42 System: gk2

    Time (sec): 10.4

    Amplitude: 1.28

    T th khi KP t th T i h i

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    - Ta thy khi KP tng th Tq gim nhng qu iuchnh tng (sai lch tnh tng). ci thin c tnh ny,ta tng cc tham s TI , TD ng vi gi tr ca KP lnnht (KP3)

    - Chn TI1 =4,TI2 = 6, TI3 =10 tng ng vi gk1, gk2,gk3 :

    Step Response

    Time (sec)

    Amplitude

    0 5 10 15 20 25 30 35 40 450

    0.5

    1

    1.5

    System: gk1

    Time (sec): 6.85

    Amplitude: 1.42 System: gk2

    Time (sec): 6.66

    Amplitude: 1.27

    System: gk3

    Time (sec): 6.61

    Amplitude: 1.15

    Ta th khi TI tng th q i chnh gim T nhin

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    - Ta thy khi TI tng th qu iu chnh gim. Tuy nhin th c tnh vn cn tn ti dao ng. trit tiu ccdao ng ny ta iu chnh h s TD ng vi h s KPv TI ln nht :

    - Chn TD1 =1 , TD2 =1.5 , TD3 =2 tng ng vi gk1,gk2, gk3 :Step Response

    Time (sec)

    Amplitude

    0 5 10 15 20 25 30 35 400

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4System: gk1

    Time (sec): 6.49

    Amplitude: 1.15System: gk2

    Time (sec): 5.92

    Amplitude: 1.07

    System: gk3

    Time (sec): 5.17

    Amplitude: 1.01

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    Xin chn thnh cm n