التحكم الإلكتروني في الالات نظري
145
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Transcript of التحكم الإلكتروني في الالات نظري
אאא
אאאא
٠
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אאאEF א
אאא
אאאא
١
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אאא،אאאאא،אא
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אא،אאאאאא،אא ،אאא א אא א א
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אא٢٦
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אאאאא٣٣ א
אאאאאא ٣٥
אאאאאא ٣٩
אאאא ٤٢
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אאאאאא ٤٥
אאא
אאאא
٣
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אאאאאא ٤٦
אאאא ٤٨
אאW٤٩
אא ٤٩
אא ٥١
אאא٥٣
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אאאא٥٤
אאאא٥٤
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א ٥٨
א ٦٠
אא ٦١
אא٦٢
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אאאאאאW ٦٨
אאאאאאא ٦٩
אאאאאאאא ٧١
אאאאאאא ٧٥
אאאאאא ٧٨
אאאאאאW ٨٠
אאא
אאאא
٤
א
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אאאאאאאאא ٨٢
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אאאאאא ٨٨
אא٨٩
Wאאא אאאאאא٩٥
אא٩٨
אא١٠٢
אא(min) ١٠٥
אא(max) ١٠٥
אאFאאאE١٠٦
אאאאא١١٠
אאא ١١٣
Wאאאאאא ١١٩
אאאא ١٢٢
אאאאא١٢٣
אא١٢٩
אאא١٢٥
אאאאאא ١٢٦
אאאאאא ١٢٨
אאא
אאאא
٥
א
אאאאאא ١٢٩
אאאאאאא ١٣٠
אאאאא ١٣١
אאא ١٣٢
אא ١٣٣
אא ١٣٤
Wאאאאאאא ١٣٦
אאאאא ١٣٩
אא ١٤٠
אאא ١٤٠
אאאאאאא١٤١
אא ١٤٣
אא ١٤٤
אאא
אאאא
٦
אאאאאאEF،א
אאא،אאאאא،אאא
אאK
אEאFאא1W
אאאF–א–א،EאKKKKKאא א،א אאאKאאא
א א،א א א א אאאא:
אאאK
אאK
אאאK
אK
Fא–EKKKKKKKKK
א،אאאאאאא
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אא
א א אא אא
אאא
אאאא
٧
א א א א א א ،א،א
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EאאFאאא،אFאאEא א אא،א א
אEאאאFאא،א
א א א א א אK
א א ، א א אא ،א א א אאא א אאא
T
אא
אא אא
אא
אאא
אאאא
٨
א،א א אא JאאKאאאאאאא
א אא אא א א א ”Controlled Rectifiers “אא،אאאאאא
א”DC Chopper “אא Kאאא א א א א אא א
א א ” AC Voltage Controller “ אא” Inverters “ ،
אאאאאאא ”
Slip Power Recovery “ ، א א א א Kאאאא
אאא
אאאא
٩
אאאאאא
אא
אאא
אאאא
١٠
אאWאאאאאאאאK
אאאW
١K אאאאאK
٢K אאK
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אאאאK
אאאאK
אאאK
אאא
אאאא
١١
Wאאאאאאאא
אאאאא، אאא
א Kא א אאא،א
אאאאאאKא
WאאW DC Motors
א א אאאא א،אא،
Kא א א ،אאא،א،אאא
א ، א א א،אאא،Kאא
א א Wא א א ،אאאאאאאאKא
אאא Wאא،אא، ،אא א אאאאאאא، א
א א א א א، אא ، ،א אא אא
Kאא
אאאא Separately Excited DC Motor
א א א א א،אא،،אא،אא
Kאאאא
אאא
אאאא
١٢
אF1-1E
אאאאאאא
א F1-1E Kא א א א א אא א א א א א א،
،א א א ،א א א אא،א،א
אאYE b[אאאאאאא:
(1-1)Vf = Rf If
(1-2)Va = Eb + Ra Ia
(1-3)Eb = Kv If (1-4)Td = Kt If Ia
(1-5)Td = TL + B
W
Va אאא(V) Eb אאאא(V) Ra א() Ia א(A) Vf אאא(V) Rf א() If א(A)
Kv א(V/A-rad./s)
Va
Ra
Eb
Vf
Ia
If
אאא
אאאא
١٣
Kt
א(N.m/A2)
Td אא(N.m) TL א(N.m) א (rad./s) B א(N.m/rad./s)
אF1-2Eא،אאאאאאאאא،
Kאא
אF1-2E
אאאאאאא
V1
V2
V3
V4
V1>V2>V3>V4
Spe
ed(
)
Torque
אאא
אאאא
١٤
(1-1)W
אאאאאאא440V Kאא0.15
א300 א1.15 V/A.rad./s א 100 N.m.KWאא
אאא
אאאא20%אא
א
Va = 440 V Vf = 440 V Rf = 300 Ra = 0.15 TL=100 N.m Kv = 1.15 V/A.rad./s.
אאZאאW Td = TL = 100 N.m
= 1.467 A.
=59.28 A
Eb = Va –IaRa= 431.107 Volt
= 255.539 rad./s
= 2440.217 rpm
אאאא20% Td = TL =120 N.m.
=71.13 A
Eb = Va –IaRa = 429.33 Volt
= 254.486 rad./s
= 2430.16 rpm
f
ff R
VI
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100
fv
da IK
TI
)467.1)(15.1(
107.431
fv
b
IK
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2
60n
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120
fv
da IK
TI
)467.1)(15.1(
33.429
fv
b
IK
E
2
60n
אאא
אאאא
١٥
אא Series Motor
א א אא א אא א (1-3)אאאW
(1-6)Va = Eb + (Ra+Rf) Ia
(1-7)Eb = Kv Ia
(1-8)Td = Kt Ia2
(1-9)Td = TL + B
אF1-3E
אאאאא
אF1-4E
אאאאא
V 1
V2
V 3
Sp
eed
Torque
V 1>V 2>V 3
אאא
אאאא
١٦
אF1-4Eאאאאא
،א א א א א א א אא،אא
א،אK
(1-2)W
אאא 100 hp, 600V, 1500 rpm Kאא0.04 א0.06 א0.032
V/A.rad./s א 60 N.m. 1000 rpmא אא
אא
אאא20%אאא
א
Rf= 0.06 Ra = 0.04 TL=60 N.m Kv = 1.15 V/A.rad./s.
אאא=אW Td = TL = 60 N.m
= 43.3 A.
104.72 rad./s
Eb = Kv If= 145.1 Volt
Va = Eb + (Ra+Rf) Ia=149.43 Volt
אEאFאא
n = 1200.rpm
v
daf K
TII
60
2 n
אאא
אאאא
١٧
125.664 rad./s
Eb = KvIf= 174.12 Volt
Va = Eb + (Ra+Rf) Ia=178.45 Volt
Wאא AC Motors א א א ،
אאאא،א، א א،א ، א א ،
אאאאא،אאKאאא
א א אאא א א ،
אאאאאאKאאאאא
אאא Three Phase Induction Motors
א א אא א ،אא אא ،אא א
אא ، אא،אאאא
،אאאאא א ،אא א
אאאאKא
אאאאאאאא F1-5א א א אא E F1-6E،
60
2 n
אאא
אאאא
١٨
אאאאF1-7EאKאא:
(1-10)
(1-11)=
(1-12)
(1-13)
W
I1 אא(A) I2' אאאא(A) R1 אא() R2' אאאא() X1 אא() X2' אאאא() Rc אא() Xc אא() Io א(A) Ix א(A) Ic אאאאא(A) א (rad./s)
s אא (rad./s)
P
fs
4
s
s
n
nn
s
ss
2'21
2'2
1
'2
21
'22'
2 33
XXs
RRs
RVs
RIP
T
s
ss
gd
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fs
n120
אאא
אאאא
١٩
s א P א f א
ns אא (rpm) n א (rpm)
אF1-5E
אאאאא
אאאאF1-6Eאאאאאאא
Kאאא
X1
R1
Rc
X2’
R2’
s1s
R'2 Xc
Io
Ic Ix
I1 I2’
V1
אאא
אאאא
٢٠
אF1-6E אאאאאא
אF1-7Eאאא
(Pin) א א (Pi)א(Pst, Pcu2) א(Pf) אאאאא(Psh)
X1
R1
X2’
R2’
s1s
R'2
I1
I2’
Rc Xc
Io
Ic Ix
V1
אאא
אאאא
٢١
אF1-7E
אאא
אF1-8Eאאאאא،
אWאאYs=1[ Ys sm[ אא א אYs smY Ys 0[א א א
א،אאאאאאK
א
25hp, 460
R1
א
א
Pc= 3
P = 4
ns =
א
0V, 60Hz
= 0.64
א א
אאא
300 W,
4
= 1P
f120
א
א
א
X2
700 אא
Jאא٦ J
א
Pf =
VL
800 rpm
1-8E א
W
R2
X2’ = 0.465
watt
א
א ٣אא
= 700 W,
= 460 V
٢٢
אF8
א
א
’ = 0.333
א אא
JאJאJא
א
n=
Vph
s
אא
Xc = 27
300 1750 rpm
٢ ٥
٨
= 1750 rpm
h =√
= =60
2 sn
א
א
א
watt
אm
Wא
אא
m,
√ =265
188.496 ra
א
(1-3)W
אאאX1 = 1.1
א
אאאאאא
f =60
5.58 V
rad/s
אא
א
אא
١ J٤ J٧ J
Hz
אאא
אאאא
٢٣
= =183.26 rad/s s = =0.0278
א א אאא(1-7)אאאאאW
Z1 + Z2 = (R1 + ) + j(X1+ ) = 12.618 + j1.565 = 12.715
אאאאא
265.58
12.71520.88 20.7 j2.54
א
Io = .
9.836 -j9.836
אאא
I1=Io+ = 20.7-j12.38 = 24.12
I1= 24.12 A
א P.F = Cos(-30.9) = 0.86 lag EF
אאא Pin=3Vph I1 Cos (30.9) = 16492.87 Watt
אאאא Pst = 3I1
2.R1 = 1117 Watt
אאאא Pg= Pin- (Pst + Pc)= 15075.86 Watt
אאאאא Pcu2 = 3I2
’2.R2’ = 435.54 Watt
אא Td = .
= 80 N.m
אאא Psh = Pg -(Pcu2+Pf) = 13940.32 Watt
Zאאא Tsh =
sh
. = 76 N.m
60
2 n
s
s
n
nn
o90
s
R '2 o7
o7
o7
o90
o9.30
אאא
אאאא
٢٤
אאא Synchronous Motors
א א אא אFא א א אאא Kא
אאאאEאאאא،EאFאא
א א ، Wא אאא،אאאEאאאFא
،אא،אאאאאאא،א
אא אא אאא ،א אא א אאא
א א א אא א ،א א אא א אא،א
Kאאאאא
אאאWאאאCylindrical Rotor Motor
א אא א، א א אא א א א ، א F1-9Eא א אא
א، אF1-10E א א א אא א אאא א
W
(1-14)
(1-15)
אאאאא(1-13)
W Ia אא(A) Ef א(V)
saatf jXRIVE
ss
ftd X
SinEVT
3
אאא
אאאא
٢٥
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Ia
Ef
Vt
F1-10אE
אא
Vt א(V) Ra אא() Xs אא() אא אאאא
אF1-9E
אאאאאאאא
אWאא Salient Pole Motor
אא א א א א א א ،Wאאאאא
(1-16)
W Xd אא() Xq אא()
Vt
Ra
Ef
Xs
Ia
s
t
ds
ftd
V
X
SinEVT
2
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bE KKKKKKKKKKKKKKKא
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dE אאKKKKKKKKKKKKKK
אאא
אאאא
٢٧
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bE KKKKKKKKKKKKKKKא
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٣K אאאאאאW
aE KKKKKKKKKKKKKKKא
bE KKKKKKKKKKKKKKKא
cE KKKKKKKKKKKKKKKא
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eE KKKKKKKKKKKKKKאא
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dE אאאא…………….
٥K Wאאאאאאא
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bE KKKKKKKKKKKKKKKא
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dE KKKKKKKKKKKא
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K אאאאאא
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אאאW
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אאאW
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V/A.rad./s א 50 N.m. 1000 rpmא אא
K אא
K אאאא20%אKא אאאW
א א 20hp, 460V, 60HzWאאאאא
R1 = 0.65 R2’ = 0.34 X1 = 1.11 X2’ = 0.55 Xc = 30
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אאא
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Wאאאאאאא
א א א א א אא אא
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א א א א א” Converters “א אא אאKאאאאא W
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אא” DC Choppers “
אא ”AC Voltage Controllers “
אא ”Inverters “
אאאאאאאKא
אאאW “Controlled Rectifiers”
א אא ?אא?אאאא
אאאא،אא ،אא א אאא
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156.2942208 mV
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V mo
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א א א א (2-3)א(Q1,Q2)אאא(D1, D2)
אאא“ D ”،אF2-4Eאאאאא אKא
0
50
100
0 45 90 135 180Alpha (deg)
Vo
(
1801359045 0 (deg) 0 13.71 46.816 79.816 93.63 Vo(volt)
אאא
אאאא
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. 11.787 A.
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א
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gle Phase
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verter”
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١٤٤
אא
אא א Electric Motor and Drives: Fundamentals, Types and
Applications, 1990Austin Hughes, Heinemann
Newnes Power Semiconductor
Controlled Drives Prentice Hall, 1989 ISBN:0-13-
686890-8Gopal K. Dubey
Power Electronics: Circuits, Devices and applications
Prentice Hall, 2004 M. H. Rashid
Power Electronics and Motor Control
Cambridge, 1995W. Shepherd, L. M. Hulley, and D.
T. W. Liang Electric Machinery Sixth Edition,2003
McGraw-Hill A.E. Fitzgerald, Charles Kingsely, Jr .
and Stephen D. Umans
