IEV 411 Starting - users.ugent.bejmelkebe/Course/Springer-pdf-slides/Ch12-DC-drives.pdf · IEV 411...
Transcript of IEV 411 Starting - users.ugent.bejmelkebe/Course/Springer-pdf-slides/Ch12-DC-drives.pdf · IEV 411...
IEV 411 Starting method
winding current
%
mains current % torque % interruption starting time critical
-22-18 direct - - - no no
-22-26 series-parallel 1/2 1/4 1/4 yes no
-22-19 wye-delta 1 ⁄ √3 1/3 1/3 yes no
-22-20 auto-transformer
α α2 α2
-22-21 with 2 switches
α α2 α2 yes no
-22-22 with 3 switches
α α2 α2 no no
-22-23 stator inductance
α α α2 no yes
-22-25 stator resistance
α α α2 no yes
Table 1 Classical starting methods
jXml
(jx ml)
(jx 2!)
jX'2!
(jx 1!)
jX1!R'2/s
(r2/s)
R1
(r1)
I1
(i1)V1
(v 1)
I'2(i2)
Iml
(iml)
E1
+
_
+
_
jXm
(jx m)
(jx!)
jX!
R/s
(r/s)
I1
(i1)
V1
(v 1)
I
(i)
Im
(im)
+
_
X = X + X = (1+ )X = Xm l ml l ml l!!
lX1 !
!
"
X = X (1+ )+X' (1+ ) =! ! !l l 2 l! !
2
R = (1+ ) R'
= ' /(1+ )
!
!
l 2
2 l
2
I I
(a) (b)
s/r
til
1
2
3
11x
!
(b)
im il
i
v l
(a)
tmin
tmax
tpo
0
n n-1
2 1 0
0s1s2 sosns =1n+1
t
s
! " "r r sy= /
(c)
r =0,052
0,05 0,15 0,35
0,7 1,4 2,8
(b)
r =0,052
A
B
C
D
E
0,05
0,1
0,2
0,4
0,8
(a)
2
1
01 0,5 0
s
t
Ru
Ru
Ru
(a)(b)
!r
w
!r
0
!"
#!
"#
!"
#
rr
2rr
4rr
8rr
rr
2rr
4rr
16rr
20rr
24rr
32rr
rr
2rr
4rr
!"
#
II
III
Ib
Ia
t
!"
"r
rsy
=/
1
-1 1
-1
1 > > 0!
l > s > : motoring!
Pem1
sPem1
!Pem1
(1-s)Pem1
P =(s- )Pj2 em1!
P2
Pm
Pm
P =(s- )Pj2 em1!
P2!P
em1
sPem
1
(1-s)Pem1
Pem1
s > 1 > : reverse braking!
Pem1
Pm P2
(1-s
)Pem
l
!P
eml
(s-
)P!
eml
Pj2
s > 1 > 0 > : reverse braking!
P2
!Pem1
Pem1
(1-s)Pem1
Pm
P =(s- )Pj2 em1!
l > s > : motoring!
0 > > s : generating!
Pem1
Pm
P2
sPem1
(1-s)Pem1
!Pem
1
P =(s- )Pj2 em1!
! > s : generating
Pem1
Pm
P2
Pj2
(1-s)Pem1!Pem1
(s- )P! em1
(here s > 0)
0 > !
Pem1
sPeml
P2"!Pem1
(1-s)Pem1
positive sign references :(URS primary, GRS secondary)
(here s < 0)
Pem1
P =(s- )Pj2 em1!:
adjustableDC source
Eg
Em
s001
00
s
! " "r r sy= /
E =K. . (1-s)g sy#$$" %
E = k.E = k.s.E'm 2 1
!"
#
1
(a) (b)
P <0
P >0
P >0
(P >0)
m
eml
2
em2
P >0
P >0
P >0
(P >0)
m
eml
2
em2
P <0
P <0
P <0
(P <0)
m
eml
2
em2
P <0
P <0
P <0
(P >0)
m
eml
2
em2
P <0
P >0
P <0
(P >0)
m
eml
2
em2
P >0
P >0
P <0
(P >0)
m
eml
2
em2
P >0
P >0
P <0
(P <0)
m
eml
2
em2
P <0
P <0
P >0
(P >0)
m
eml
2
em22
2
1
1 0
0
!
!
!"#$%&!"$!"$%'
!"(%'
2
10
1
1
0
2
-1(b)
(a)
(0)
(c)
)
s
s
s
generator
generatormotorreverse braking
reverse braking motor motor0>!
1> >0!
( c)
!r
w
!r
(b)
!r
w
!r
(a)
slip energyconversion 50Hz
(a) (b)