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7/13/2019 Báo Cáo Thí Nghiệm Điều Khiển Quá Trình (3) http://slidepdf.com/reader/full/bao-cao-thi-nghiem-dieu-khien-qua-trinh-3 1/47  BÁO CÁO THÍ NGHIM ĐIỀU KHIN QUÁ TRÌNH Bài1:Xây dng h thống điều khin mt bình mc Bài 2: Xây dng h thống điều khin hai bình mc thông nhau H và tên:Đặng Vũ Trung SHSV:20092850 Lớ  p: ĐK -H 7 – K54

Báo Cáo Thí Nghiệm Điều Khiển Quá Trình (3)

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    BO CO TH NGHIMIU KHIN QU TRNH

    Bi1:Xy dng hthng iu khin mt bnh mc

    Bi 2: Xy dng hthng iu khin hai bnh mcthng nhau

    Hv tn:ng V Trung

    SHSV:20092850

    Lp: K-TH 7K54

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    SHSV ca em l 20092850 nn em chn stoptime l 2850

    BI 1XY DNG HTHNG IU KHIN MT BNH MC

    1: Xy dng m hnh cho i tng bnh mc

    a.Xc nh tn hiu vo, tn hiu ra v nhiu ca hthng

    -Tn hiu vo:mvan vo F1 F2-Tn hiu ra: cao mc cht lng h F1 h

    -Nhiu : mvan ra F2

    b.Xy dng m hnh ton hc i vi cc tham shnh thc.

    Phng trnh cn bng khi lng:

    A

    =F1-F2

    Bin i sang min Laplace:

    A.s.h(s)=F1(s)-F2(s). Do t=0 th F2(s)0

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    G(s)=

    Van F1 ng mc dng:

    Hm truyn hthng: G(s)=

    c. Sdng Simulink xc nh tham sm hnh

    Thay i cc thng strn Single-Tank theo shiu sinh vin v lp

    -M phng trn Simulink

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    p ng nhn c

    -Khi h(t) c kch thch bng tn hiu step ta c thhm qu nh trn

    -Ktip tuyn vi thhm qu h(t) ta xc nh c tham s;

    T=3.5 v K=tan()=2.8

    -Vy hm truyn ca hthng:

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    G(s)

    *Kim tra li kt qubng m hnh:

    - Ta c thhm qu nh hnh sau:

    Tthta thy p ng qu ph hp vi p ng m phng => btham sK=2.8,T=3.5 l ph hp

    2: Cc sch lc iu chnh:

    -Cc sch lc c thiu khin trong bi ton:

    +iu khin phn hi

    +iu khin tng

    -Cc sch lc khng iu khin c:

    +iu khin truyn thng

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    + iu khin la chn

    + iu khin phn vng

    + iu khin tl

    *Gii thch:

    -Sch lc c thiu khuyn c:

    + Sch lc phn hi vng n: c thdng c v khi o mc nc trongbnh sc so snh vi gi trt bk PID a ra quyt nh iu khuyn

    +Sch lc iu khuyn tng: c thdng c v sch lc ny gm 2 vngn, vng 1: so snh gia gi trt v mc nc a ra quet nh iu

    khuyn, vng 2: so snh gia lu lng ra, lu lng vo v tn hiu iukhuyn ca vng 1 a ra quyt nh dk

    -Sch lc khng iu khuyn c

    + Sch lc truyn thng: khng dng c, v hthng van l hthng cqun tnh nn vi sch lc ny khi chng ta a ra quyt nh k th strmtmt thi gian hmi chp hnh v v khng c phn hi nn hskhng nnh

    + iu khin la chn, iu khin phn vng yu cu c t nht l 2 bin iukhin, m bnh mc chi c 1 bin iu khin, nn khng xc nh c tnhiu iu khin ln t => khng c p dng sch lc ny.

    + iu khin tlc p dng cho hthng : duy tr quan h gia 2 binnhm iu khin gin tip bin th3, m iu khin bnh mc ch c 1 biniu khin nn khng c p dng.

    Bng tham stheo cng thc ZieglerNichols

    Biu khin Kp Ti TdP 1/K = 0.36 0 0PI 0.9/K = 0.321 10T/3 = 11.67 0PID 1.2/K = 0.429 2T = 7 0.5T=1.75

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    3:Lu P&ID ca sch lc truyn thng

    *M phng trn Simulink

    a : Vi biu khin P

    Chn tham sKp = 0.357 ,Ti=0 , Td=0

    Level

    SP

    OutValve

    Single-

    Tank

    GUI

    Tank GUIMax Level = 1000

    In Valve

    Out Valve

    Level

    In Flow

    Out Flow

    SINGLE-

    TANK

    Single-TankCourse = 54

    Class = 7

    Number = 50

    Scope1

    Scope

    PID

    PID Controller

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    Kt qu: hin thtrn Scope

    *Nhn xt: mc nc trong bnh tng lin tc cho ti khi trn bnh chng ththng khng n nh => khng th p dng sch lc ny.

    b : Sdng biu khin PI

    Chn cc tham s: KP = 0.321 , Ti = 11.67 , Td=0

    Kt qu: thmc nc ca biu khin PI hin thtrn Scope

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

    800

    900

    1000 2

    1

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    *Nhn xt: Mc nc trong bnh vn khng bm xung quanh gi trsetpoint .Biu khin PI cng khng sdng c trong sch lc ny.

    c : Sdng biu khin PIDChn cc tham s: KP = 1.7 , Ti = 0.43, Td=6.8

    Kt qu: thmc nc ca biu khin PID

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

    800

    900

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    *Nhn xt: mc nc trong bnh tng qu mc gi trt ri li gim v

    mc khng do mvan =>> dng bphng php iu khin ny hthngkhng n nh

    4 :Sch lc phn hi vng n

    *Lu P&ID sch lc phn hi vng n:

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

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    *M phng bng Simulink

    a , Biu khin tlP cho sch lc phn hi vng n

    Chn tham sKp = 0.357 ,Ti=0 , Td=0

    thp ng thu c:

    Scope

    Level

    SP

    OutValve

    Single-

    Tank

    GUI

    Tank GUI

    Max Level = 1000

    In Valve

    Out Valve

    Level

    In Flow

    Out Flow

    SINGLE-

    TANK

    Single-Tank

    Course = 54

    Class = 7

    Number = 50

    Scope1

    Scope

    PID

    PID Controller

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    Scope1

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

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    Tthta thy :

    Mc nc trong bnh tng n vtr setpoint ri dng li v lun gin nh ti gi tr

    .b , Biu khin PI cho sch lc phn hi vng n

    Chn cc tham s: KP = 0.321 , Ti = 11.67 , Td=0

    Kt qu:thmc nc trong bnh

    0 500 1000 1500 2000 2500 30000

    0.5

    1

    1.5

    2

    2.5

    3x 10

    4

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    Scope 1:

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

    800

    900

    1000

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    *Nhn xt: mc nc trong bnh ban u c dao ng quanh gi trt SP,sau bin dao ng gim dn, v dng hn ti gi trt

    Mc nc km n nh hn so vI bP do khu tch phn Ic , Biu khin PID cho sch lc phn hi vng n

    Chn cc tham s: KP = 0.429 , Ti = 7, Td=1.75

    Kt qu: thmc nc trong bnh

    0 500 1000 1500 2000 2500 30000

    0.5

    1

    1.5

    2

    2.5

    3x 10

    4

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    Scope:

    Scope1:

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

    800

    900

    1000

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    =>>Nhn xt:Biu khin PID c thi gian qu v qu iu chnh ln hn sovi biu khin PI v biu khin P.Nn bPID km n nh hn bPI v km nnh hn so vi bP

    =>>Nhn xt chung: iu khuyn bnh mc thc cht c khu tch phn nn khichn biu khuyn ta chcn chon bP l , nu dng bPI hoc PID do cthnh phn tch phn nn dgy ra hin tng bo ha tch phn.

    *, Hin tng bo ha tch phn l hin tng u ra ca biu chnh vn tiptc tng qu mc giI hn khi sai lch iu khuyn trv0.

    *,Bin php khc phc:

    - Sdng khu b thnh phn tch phn- Ct bthnh phn tch phn khi gi trc iu khin t ti gi trt

    D:Sdng khu chng bo ha tch phn:+ PI-RW: S :Khu PI ni tip vi khu chng bo ha tch phn

    0 500 1000 1500 2000 2500 30000

    0.5

    1

    1.5

    2

    2.5

    3x 10

    4

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    Trong :Thng sca khu PI-RW c xc nh theo Zinger Nicol1 nh sau:Gain:K=Kc=0.321Gain1:K=1/Ti=0.0857Gain2:K=1/Tt=4/Ti=0.343

    S simulink:

    p ng thu c l:

    Scope

    Level

    SP

    OutValve

    Single-

    Tank

    GUI

    Tank GUIMax Level = 1000

    In1 Out1

    Subsystem

    In Valve

    Out Valve

    Level

    In Flow

    Out Flow

    SINGLE-

    TANK

    Single-TankCourse = 54

    Class = 7

    Number = 50

    Scope1

    Scope

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    Scope1:

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

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    + PID-RW:

    S :Khu PID ni tip vi khu chng bo ha tch phn:

    Trong :Thngsca khu PID-RW c xc nh theo Zinger Nicol1 nh sau:Gain:K=Kc=0.429Gain1:K=1/Ti=0.143.Gain2:K=1/Tt=4/Ti=0.512Gain3:K=1.75

    0 500 1000 1500 2000 2500 30000

    5000

    10000

    15000

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    p ng thu c

    Scope:

    Scope1:

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    *Nhn xt: mc nc trong bnh tng (gim) ti gi trt v ng nguyn tivtr , khc dao ng do thnh phn tch phn gy ra.

    *Cn phi o lu lng ra v:

    Khi olu lng ra, p ng ca hthng n nh ko phthuc vo sthayi ca lu lng ra, ta gim c snh hng ca tn hiu nhiu

    6. Sch lc iu khin tng

    * Gii thch ti sao cn sdng iu khin tng:

    - Vng iu khin n cha p ng c yu cu cht lng- Ta c thdng o c v iu khin c bin qu trnh th2 c lin

    quan ti bin thnht- c tnh ng hc ca bin th2 nhanh hn bin thnht

    *Xc nh cc vng iu khin , nhim vv c im tng vng

    - Vng iu khin:

    +Vng 1(vng ngoi): o mc ca bnh ri phn hili so snh vi SP1

    + Vng 2(vng trong):o hiu lu lng Out Flow & In Flow,phn hi

    li so snh vi gi tr u ra ca vng 1(l gi trSet Poit cho vng 2)

    - Nhim vv c im ca tng vng:+ Vng 1: so snh gi tr SP1 vI mc ca bnh cha cho ta lu

    lng vo mong mun (gi tr SP2 cho vng 2) .+ Vng 2 : so snh SP2 vI hi u lu lng Out Flow & In Flow cho ta

    tn hiu iu khin ( mvan ph hp)+ Vng 2 c c tnh ng hc bin I nhanh hn c tnh ng hcca vng 1

    * M phng Simulink

    - Trng hp khng o lu lng ra:

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    a , biu khin P-P

    Hsvng ngoi K=1000. Vng trong K=1000.Ta c thsau:

    Scope

    Level

    SP

    OutValve

    Single-

    Tank

    GUI

    Tank GUIMax Level = 1000

    In1 Out1

    Subsystem1

    In Valve

    Out Valve

    Level

    In Flow

    Out Flow

    SINGLE-TANK

    Single-Tank1Course = 54

    Class = 7

    Number = 50

    Scope1

    Scope

    PID

    PID Controll er

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

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    Scope1:

    -Trng hp c o lu lng ra

    * M phng trn Simulink

    0 500 1000 1500 2000 2500 30000

    5000

    10000

    15000

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    Kt qu:ta c thsau:

    b. Biu khin P/PI -RW

    Level

    SP

    OutValve

    Single-

    Tank

    GUI

    Tank GUI

    Max Level = 1000

    0:11

    0:4

    In1 Out1

    Subsystem1

    In Valve

    Out Valve

    Level

    In Flow

    Out Flow

    SINGLE-TANK

    0:0

    Single-Tank1

    Course = 54

    Class = 7

    Number = 50

    0:3

    Scope1

    0:2

    Scope

    PID

    PID Controller

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

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    Vng ngoi l biu khin P vi K=1000, vng trong l biu khin PI-RW

    Trong :Thng sca khu PI-RW c xc nh theo Zinger Nicol1 nh sau:Gain:K=Kc=0.357Gain1:K=1/Ti=0.0857Gain2:K=1/Tt=4/Ti=0.343

    S simulink:

    Kt qum phng

    Level

    SP

    OutValve

    Single-

    Tank

    GUI

    Tank GUIMax Level = 1000

    In1 Out1

    Subsystem

    In Valve

    Out Valve

    Level

    In Flow

    Out Flow

    SINGLE-

    TANK

    Single-TankCourse = 54

    Class = 7

    Number = 50

    Scope1

    Scope

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    Scope:

    Scope1:

    0 500 1000 1500 2000 2500 30000

    100

    200

    300

    400

    500

    600

    700

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    c. Biu khin P/PID-RW

    Vng ngoi l biu khin P vi K=1000, vng trong l biu khin PI-RW

    Trong :Thng sca khu PID-RW c xc nh theo Zinger Nicol1 nh sau:Gain:K=Kc=0.429Gain1:K=1/Ti=0.143.Gain2:K=1/Tt=4/Ti=0.512Gain3:K=1.75

    Kt qum phng

    Scope: Scope1

    0 500 1000 1500 2000 2500 30000

    5000

    10000

    15000

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    Nhn xt:M phng vi cc biu khin khc nhau, ta u thu c kt qugnging nhau.

    Vy :Khi o lu lng ra, p ng ca hthng n nh ko phthuc vo sthayi ca lu lng ra, ta gim c snh hng ca tn hiu nhiu

    - Overshoot nh- Sai lch gia INFLOW & OUTFLOW nh

    So snh hai trng hp:

    - Trng hp o lu lng ra khi hthng n nh , thay i lu lng ra thhthng vn n nh

    - Trng hp khng o lu lng ra khi hthng n nh , thay i lu lngra th hthng mt n nh

    - Trng hp o lu lng ra cho ta cht lng tt hn so vi khng o lulng ra

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    BI 2

    XY DNG HTHNG IU KHIN HAI BNH MC

    THNG NHAU

    1: Xy dng m hnh i tng:

    -Xc nh tn hiu vo ra v nhiu : F3

    +Tn hiu vo:F1,F2 F1 h1

    +Tn hiu ra:h1,h2

    +Nhiu:F3 F2 h2

    Hthng hai binh mc

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    2:Xy dng m hnh ton hc i vi cc tham shnh thc

    A1

    F1-F2

    A2

    =F2-F3

    *Chuyn sang min Laplace:

    =>> A1.s.H1(s)=F1(s)-F2(s)

    A2.s.H2(s)=F2(s)-F3(s)

    G1(s)=

    G1(s)=

    .G1(s)=

    G2(s)=

    G2(s)=

    G2(s)=

    3: M phng trn Simulink:

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    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-TankCourse = 54

    Class = 7

    Number = 50

    Step

    Scope1

    Scope

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    -Tng tkt qubi 1:Ta ktip tuyn v xc nh hsT1,K1 cho khi Scope

    Ta c T1=3.4 v K1=3.2

    thhm qu h1(t) khi scope(trn) v h2(t) khi scope1 (di)

    Ktip tuyn vi thh(t) ta xc nh c :

    - K2= tan=0.5

    - Thi gian tr:=2.0

    - T2=2.7

    * Kim chng m hnh

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    thkim chng m hnh :

    Scope

    Scope1

    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-TankCourse = 54

    Class = 7

    Number = 50

    3.2

    3.4s+1

    Transfer Fcn1

    0.5

    2.7s+1

    Transfer Fcn

    Step

    Scope1

    Scope

    1

    s

    Integrator1

    1

    s

    Integrator

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    Nhn xt :Bqua sai sthhm qu gn ging vi tnh ton => c thchn cc btham schn trn

    Bng tham stheo cng thc ZieglerNicholsBnh 1

    Biu khin Kp Ti Td

    P 1/K1 = 0.313 0 0PI 0.9/K1 = 0.282 10T1/3 = 11.33 0PID 1.2/K1 = 0.375 2T1 = 6.8 0.5T1=1.7Bnh 2

    Biu khin Kp Ti TdP 1/K2 = 2 0 0PI 0.9/K2 = 1.8 10T2/3 = 9 0PID 1.2/K2 = 2.4 2T2 = 5.4 0.5T2=1.35

    4 :Cc sch lc iu khin

    1. iu khin vng phn hi n.2. iu khin tng.

    Sch lc truyn thng khng dng c, v hthng van l hthng cqun tnh nn vi sch lc ny khi chng ta a ra quyt nh k th str

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    mt mt thi gian hmi chp hnh v v khng c phn hi nn hskhng n nh.

    5 : iu khin phn hi vng n kt hp b nhiu

    a.Biu khin P-P

    M phng trn Simulink :

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    Kt quthu c:Scope: Scope1

    Level1

    Level2

    Valve

    SP1

    SP2

    Valve1

    Valve2

    Valve3

    Two-Tank

    GUI

    Two-Tan k GUI

    Max Height 1 = 1000

    Max Height 2 = 1000

    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-Tank

    Course = 54

    Class = 7

    Number = 50

    In1 Out1

    Subsystem1

    In1 Out1

    Subsystem

    Scope3

    Scope2

    Scope1

    Scope

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    b. Biu khin PI -RWS: Khu PI ni tip vi khu chng bo ha tch phn:

    S simulink:

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    Trong :- Biu khin PI-RW 1 c cc thng sxc nh theo ziegler Nichol 1 l:

    Gain: K=Kc=0.282Gain1:K=1/Ti=0.083Gain2:K=1/Tt=4/Ti=0.353

    - Biu khin PI-RW 2 c cc thng sxc nh theo ziegler Nichol 1 l:Gain: K=Kc=1.8Gain1:K=1/Ti=0.11Gain2:K=1/Tt=4/Ti=0.444

    Kt quthu c:

    Scope: Scope1

    Level1

    Level2

    Valve

    SP1

    SP2

    Valve1

    Valve2

    Valve3

    Two-Tank

    GUI

    Two-Tan k GUI

    Max Height 1 = 1000

    Max Height 2 = 1000

    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-Tank

    Course = 54

    Class = 7

    Number = 50

    In1 Out1

    Subsystem1

    In1 Out1

    Subsystem

    Scope3

    Scope2

    Scope1

    Scope

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    So snh Set Point vi Level

    Mc nc trong bnh dao ng quanh SP1 ri sau n nh ti SP1Mc nc trong bnh dao ng quanh SP2 sau n nh ti gi trnh(ln) hn SP2 c sai lch phthuc vo mvan

    c. Biu khin PID-RW:S : Khu PID ni tip vi khu chng bo ha tch phn

    Trong :- Biu khin PID-RW 1 c cc thng sxc nh theo ziegler Nichol 1 l:

    Gain: K=Kc=0.375Gain1:K=1/Ti=0.147

    Gain2:K=1/Tt=4/Ti=0.588

    Gain3:K=Td=1.7- Biu khin PID-RW 2 c cc thng sxc nh theo ziegler Nichol 1 l:

    Gain: K=Kc=2.4Gain1:K=1/Ti=0.1853

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    Gain2:K=1/Tt=4/Ti=0.74

    Gain3:K=Td=1.35

    Kt qum phng:Scope: Scope1

    Nhn xt :

    Mc nc trong bnh tng nhanh ti gi trt ca bnh 1

    Mc nc trong bnh t ti gi trt v n nh ti mc .

    6/Sch lc iu khin tng

    a. Lu P&ID.

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    b.M phng vi cc biu khin:+) Vng ngoi l biu khin P (ly Kp = 1000) , vng trong l biukhin P (Kp = 10000)

    S :

    Scope: Scope1

    Level1

    Level2

    Valve

    SP1

    SP2

    Valve1

    Valve2

    Valve3

    Two-Tank

    GUI

    Two-Tank GUIMax Height 1 = 1000

    Max Height 2 = 1000

    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-Tank

    Course = 54Class = 7

    Number = 50

    In1 Out1

    Subsystem2

    In1 Out1

    Subsystem1

    Scope3

    Scope2

    Scope1

    Scope

    PID

    PID Controller3

    PID

    PID Controller2

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    Nhn xt

    - So snh gia Level1 v SP1

    Mc nc trong bnh 1 tin nhanh ti SP1 v n nh ti im ny

    - So snh gia Level2 v SP2

    Mc nc tng nhanh v n nh kh st SP2

    +)Biu khin P/PI-RW

    Vng ngoi l biu khin P (Kp =1000), vng trong l biu khinPI-RWTrong :- Biu khin PI-RW 1 c cc thng sxc nh theo ziegler Nichol 1 l:

    Gain: K=Kc=0.282Gain1:K=1/Ti=0.083Gain2:K=1/Tt=4/Ti=0.353

    - Biu khin PI-RW 2 c cc thng sxc nh theo ziegler Nichol 1 l:Gain: K=Kc=1.8Gain1:K=1/Ti=0.11

    Gain2:K=1/Tt=4/Ti=0.444S :

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    Kt qum phng

    Scope: Scope1

    Level1

    Level2

    Valve

    SP1

    SP2

    Valve1

    Valve2

    Valve3

    Two-Tank

    GUI

    Two-Tank GUIMax Height 1 = 1000

    Max Height 2 = 1000

    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-TankCourse = 54

    Class = 7

    Number = 50

    In1 Out1

    Subsystem2

    In1 Out1

    Subsystem1

    Scope3

    Scope2

    Scope1

    Scope

    PID

    PID Controller3

    PID

    PID Controller2

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    +)Biu khin P/PID-RD

    - Vng ngoi l biu khin P (Kp =1000), vng trong l biu khin

    PID-RWTrong :- Biu khin PID-RW 1 c cc thng sxc nh theo ziegler Nichol 1 l:

    Gain: K=Kc=0.375

    Gain1:K=1/Ti=0.147Gain2:K=1/Tt=4/Ti=0.588

    Gain3:K=Td=1.7- Biu khin PID-RW 2 c cc thng sxc nh theo ziegler Nichol 1 l:

    Gain: K=Kc=2.4Gain1:K=1/Ti=0.1853

    Gain2:K=1/Tt=4/Ti=0.74Gain3:K=Td=1.35

    M hnh

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    Kt qum phng:

    Scope: Scope1

    Nhn xt: mc nc lc u cha n nh ti Set Point do mvan ra ca

    bnh 2 nhng sau mc nc c n nh=>> Nhn xt chung : hthng vi sch lc k tng c cht lng tt nht so vicc sch lng cn li, sai lch nhhn, t phthuc vo lu lng ra ca bnh 2nht

    Level1

    Level2

    Valve

    SP1

    SP2

    Valve1

    Valve2

    Valve3

    Two-Tank

    GUI

    Two-Tank GUIMax Height 1 = 1000

    Max Height 2 = 1000

    Valve 1

    Valve 2

    Valve 3

    Level 1

    Level 2

    Flow 1

    Flow 2

    Flow 3

    TWO-

    TANK

    Two-TankCourse = 54

    Class = 7

    Number = 50

    In1 Out1

    Subsystem2

    In1 Out1

    Subsystem1

    Scope3

    Scope2

    Scope1

    Scope

    PID

    PID Controller3

    PID

    PID Controller2

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