OPTIMIZATION OF LOADING MODES OF A CONTROLLED ASYNCHRONOUS ELECTRIC DRIVE
621.313.333
.
.
.
dq –
.
–
[1],
.
70 %
[7]
dq –
.
-
,
,
s
,
,
-
.
,
(
(
,
rsisq
usq ;
( s
) rq
rr ird
) rd rr irq
usd, usq, isd, isq, ird, irq, sd, sq,
,
.
,
(1)
rq –
-
0;
0
rd,
[2]
-
),
.
rs, rr –
;
–
;
-
.
L s, L r
[3]
.
.
s sd
( s
.
[1]).
usd ;
rsisd
s sq
d,
q,
[4]
sd
L sisd
d;
sq
L sisq
q;
-
rd
L r ird
d;
rq
L r irq
q.
[5]
-
,
,
.
,
,
a arctg (bi d ) ci d ,
-
d
-
i d = isd + ird; i q = isq + irq –
.
q
2
d
[6].
,
1,5 3 (isq
a arctg (bi q ) ci q ,
2
q ,
d
-
isd
q) ,
2
ird
2
irq
.
–
-
is
2
isd
2
isq
; ir
-
(1)
.
(
-
Usd = 0; Usq = U)
ISSN 2074-272X.
©
. 2013.
3
.
25
( L sisq
s
s
( L sisd
( s
( s
M
q (isq
d (isd
) ( L r irq
usd ;
ird )) rsisq
usq ;
q (isq
) ( L r ird
1,5 3 (
irq )) rsisd
d (isd
isq
d
.
M
irq )) rr ird
0; . (2)
ird )) rr irq
0;
(3).
M
,
,
s,
isd )
q
-
U,
s
(2)
U
(2),
s.
(3)
dP
d s
0,
(4)
isd, isq, ird, ir,
s.
-
,
,
(2)
d
d s
(
d
s
d
(
d s
d
d
d
d
. 1.
: )
; )
) ( L r irq
s
((
d s
( L sisq
s
d
((
d s
disd
q )) rs
d s
q ))
) ( L r ird
isq
q
1 (b (isd
s
q
a b
d s
1 (b (isq
dird
d s
0;
, (5)
dirq
rr
0;
d s
isd ) 0
a b
d
0;
rr
d ))
s
ird ))
c
2
c
irq ))2
disd
d s
dird
;
d s
disq
dirq
d s
d s
.
s
U
s,
(2)
–
M
(4)
s
U
,
.
(2)
,
cos
.
M
km = 0,1, k = 10-3
-
,
M
102 ,
b = 0,08; c = 0,003.
-
s, U ,
,
-
.
.1, .
55
; rs = 0,163
-
(2).
, .
. 1,
. 1, –
,
380 ,
2940
L r = 1,5
(2), (5)
.
,
:
L s = 2,49
;
; rr = 0,126
.
: a = 0,95;
-
.
M
.
M
-
M.
U
U
s
s
. 2,
380
1,21 .
314
M,
. 2, –
.
rsis2
P
km
26
k
–
rr ir2
2
km
s
k
2 2
s,
(3)
. 2
=307,9 -1; M
ior= 53,5 A
,
= 157
. 2,
;
s= 314
.
-1
; ios= 60,9 A;
.
,
ISSN 2074-272X.
. 2013.
3
488
0,5 .
-
,
(2):
disd
dt
dird
dt
disq
1
D
dt
dirq
dt
d ) f2
Q 1 (L r
q ) f3 q f 4
Q 1 (L s
q ) f 4 q f3
. 2.
)
),
M
rsisd ; f 2 ( s
) rq rr ird ;
( s
) rd rr irq ;
s sd rs isq ; f 4
a b
2
1 b (isd
D
J–
J 1 (M
d f1 ;
s sq
f3 U
d
d ) f1 d f 2 ;
D 1 (L s
d
dt
f1
(L r
L sL r
ird )
(L s
2
c; q
L r )d ; Q
a b
2
1 b (isd
L sL r
ird ) 2
(L s
c;
L r )q ;
.
:
; )
; )
,
250
.
. 3,
s.
10
,
-1
s= 313,8
U = 488 .
86 ,
– 65 .
cos ,
,
s,
.
.3,
-
. 3,
-
(3).
10
.
. 3,
,
,
s
-
.
:
250
:
,
=303,2
-1
; is= 96,1 A; ir= 89,8 A.
.
=307,9 -1; M= 250
s= 318,6
-1
. 3.
)
)
is= 96,2 A; ir= 89,9 A
385,6 .
ISSN 2074-272X.
0,1
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,
;
,
;
. 4
250
:
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,
)
. 2013.
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27
.4
,
-
.
-
,
.
-
,
[6]
6.
-1
307,9
.
.
7.
-
.
-
.
//
3. – . 30-34.
.
"
. 4.
/
.
.– 2000. –
.
/
.
", 2006. – 272 .
. –
.:
.
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99053,
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.
, 33
Kanov L.N.
Optimization of loading modes of a controlled asynchronous
electric drive.
The paper introduces a numerical procedure of an asynchronous
motor optimum frequency and feed sine-wave voltage selection
for given values of the motor speed and load moment to provide
minimum power loss.
Key words – asynchronous motor, stationary loading mode,
mathematical description, optimum voltage, optimum
frequency, power loss.
ISSN 2074-272X.
. 2013.
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(...truncated)