ЭЛЕКТРОМЕХАНИЧЕСКИЕ СВОЙСТВА АСИНХРОННЫХ

…
1.
.,
. 34–35.
2.
3.
.
.
. 2008.
.
//
9. . 59–64.
.
.:
. 2000.
2.
//
(
-
)
, 2002. 216 .
1.
2.
3.
.,
.,
.
Bibliography
Zhurav lev A.N., Popov G.V. Thermal control technology in diagnostic of
mains transformers // Pow er engineerings. 2000.
2. w ith. 34–35.
Kireev a E.A. Diagnostic of mains transformers // the Electric equipment.
2008. 9. With. 59–64.
Alex eys B.A. Control states (diagnostic) of large mains transformers. :
Publishers NTS ENAS, 2002. 216 w ith.
621.33
.,
.
,
«
–
Im =Um /Z –
R 2 ( 1 L) 2 –
; 1 =arctg( 1 L/R –
; Z
,
» [1].
,
-
,
,
T=L/R –
, .
(1)
,
.
-
,
,
Z
.
.
,
.
-
,
-
:
.
-
.
[3]
,
.
1
-
L-R
[2]
;
Pj (t ) u j (t ) i j (t )
-
0,5 U m2 / Z (cos
-
2e
-
.
t /T
sin(
t
1
cos(2
1
j
) sin(
t
2
1
j
1
j
1
)
(2)
)),
,
-
.
[4].
:
Pj (t)
,
1.
,
.
.
2.
,
L-R
,
.
3.
(
.
j-
u j (t ) U m sin(
1 =2 f1
,
b=
,
-
t
1
j
[5]):
),
3
–
/c; j –
–2 /3, c= +2 /3);
; Um –
,
( a=
–
,
-
, .
P (t )
(u j (t ) i j (t ))
j 1
u a (t )ia (t ) u b (t )ib (t ) u c (t )ic (t )
2
m
3 / 2 U / Z (cos
3 U I cos
L-R
i j (t ) I m (sin(
t
1
j
. . .
-
1
) sin(
. 2011.
j
1
3.
) e
t /T
) , (1)
1
1
(1 e
cos(
t /T
(3)
t
1
cos(
1
t
1
) e
1
t /T
)
) / cos 1 ),
U=Um / 2 –
———————————————————————————————————
,
35
; I=Um /Z/ 2 –
(6)
,
; cos
1/ 1 (T
1 =R/Z
1
)2 –
-
(4)
-
0,5 ,
-
PR (t).
.
P (t)
-
,
.
,
[2].
[6]
,
,
:
-
.
,
(3)
-
1
Q j (t )
u j (t ) i j (t )
1
P (s )
U m2 (s )
WP ( s)
T02
s–
T 2 / (1 (T
3R
(Ts 1)
,
2
2 2
2 Z (T0 s 2 T0 s 1)
1
(4)
t/T
2e
;
-
)2 ) –
1/ 1 (T
;
0,5 U m2 / Z (sin
1
)2 –
sin(2
1
cos( 1t
j
) sin(
u j (t ) du j ( t) / dt
1
t 2
1
j
1
j
1
)
(7)
)),
Um cos( 1t
j
)–
,
-
.
.
(4)
.
L-R
,
P (t), WP (s)
,
(3)
.
-
(4)
:
1
-
.
1
(u a (t ) ia (t ) u b (t ) ib (t ) u c (t ) ic (t ))
(8)
1
(4)
1/ 1 (T
(u j (t ) i j (t ))
1 j 1
,
.
3
1
Q (t )
)
2
cos
3 / 2 U m2 / Z (sin
3 U I sin
1
(1 e
1
sin(
t/T
t
1
1
sin(
) e
t
1
1
1
sin
,
1
1
L/Z
T / 1 (T
1
1
t/T
)
) / sin
),
)2 –
(
( <1),
1
).
L-R
,
,
-
.
(4)
.
,
.
.
,
-
.
,
-
R
.
(8)
3
PR (t )
(i j (t )) R (ia2 (t ) ib2 (t ) ic2 (t ))
R
j 1
2
m
3 / 2 U / Z (1 2e
t /T
cos( t ) e
2t / T
(5)
WPR ( s)
PR ( s)
U m2 ( s)
3R
2 Z 2 (T02 s 2
(5)
Q ( s)
Um2 ( s)
WQ (s)
) cos .
3 1L
2 Z 2 (T02 s2
1
2 T0 s 1)
(9)
.
.1
.
(Ts 1)
.
2 T0 s 1) (0,5Ts 1)
(6)
,
36 ———————————————————————————————————
,
. . .
-
. 2011.
3.
.,
Um .
,
.
.
-
,
-
,
[5].
,
-
(3)
(8):
P (t ) 3 U1 I cos
Q (t ) 3 U1 I sin
hP (t ) 3 U1 m iA (t ) / 2;
hQ (t ) 3 U1m iX (t ) / 2,
1
1
2
h P (t), h Q (t) –
-
2
R
2
( R21 (L2
1
X
2
2
( R21
( L2
1
D4
( R21 RC
)
; iA (t), iX (t) –
.
2
R21RC ) RC ( Lm
) 2 LmL2
2 2
1
L2 Lm
)
R 2 / R 22
cos
:
2
1
1
) / D4 ;
) RC2 Lm
1
/ D4 ;
RC L2 R2 Lm ) 2
( RC Lm
2
1
(11)
;
X 22 .
-
,
,
,
I A (t ) 2 P (t ) / U m / 3
2 I cos
I X (t ) 2 Q (t ) / U m / 3
2 I sin
1
hP (t );
1
hQ (t ).
(10)
X
I A2 ( t) I X2 (t )
I m (t)
.
,
R
Im (t)
Ij (t).
-
R
1
cos
R1 ;
2
X
1
X 1;
2
(12)
R 1 / R 21
1
180
3 (
.1
3D
X 21 .
(11)
(12)
, sN=2.6%, sK=13%)
N=15
cos
L-R
,
.
:
1
f1
: –
-
f2 .
;
;
–
(f1 >50
).
(f1 50
-
); 2 –
cos
,
[7].
f2
:
0.26
6.5
–
; 1–
.
-
1
(
–
).
-
–
Z1 (
)
R1
1)
j
1
R12
jX 1
f2
L )2 ;
(
1 1
–
(f1 =50
Zm (
–0.26
–6.5
cos 1
; 0 f2 50 ).
.2
1 Lm ;
,
–
Z2 (
1,
R21
2)
jX 2
–
; R21 =R2 /s=R2
1 /
2
1 =2 f1
1/
2
2/
–
1–
;
,
;
=2
f
–
2
2
R22
(
,
2
2 L2 ) ,
( 0.7)
0.13
,
; s=( 1 –p )/ 1 =
; –
-
,
=
.
0.0052 (
68.3
78.1 1/ ).
.
–
-
1
-
-
4
6
9
-
WP (s) P (s)
WPR (s) PR (s)
WQ (s) Q (s)
. . .
2 2
3R/(2Z2 ) (Ts+1)/(T0 s +2 T0 +1)
2
3R/(2Z ) (Ts+1)/(T0 2 s2 +2 T0 +1)/(0,5Ts+1)
2 2
L/(2Z2 ) 1/(T0 s +2 T0 +1)
. 2011.
3.
. 1.
cos
1
f1
———————————————————————————————————
f2
37
2
cos
s, %
cos
1
100 50 13 2.6 0.52 0
0.3 0.39 0.75 0.82 0.68 0.084
N 0.2 N 0
1
. 2)
,
4 180
[8].
(
. 2, )
60
3
(
4
80 1/
N,
-
. 2, )
(
.
:
1.
-
,
.
2.
,
. 2.
.
-
. 2,
[8].
4 180
,
.
2.
3.
,
4.
5.
0
-
. 2, ).
(
-
3
1.66, 6.66, 1.66
6.
7.
,
-
8.
.
0
2–3 f1N
2.5
).
,
. 1,
abs(M) 0.2MN cos
1
0.7,
–2.5
(
.
.
-
,
,
V
2.
3.
4.
5.
6.
7.
.
1.
1.
.
(XVI
.
)
., 2007.
//
2007:
-
8.
3
.,
.
, 1967.
.
, 1975.
.
LR//
. 2008. 7.
.,
.
. .; .:
, 1963.
.
. .:
, 1978.
.,
.
.
.:
.
.
.
«
»
–
( , )
4 180
( , )
.
.
.
:
.
.
.
.
.
.:
-
. 2011.
1, 2.
//
.
:
, 2010. 194 .
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Omelchenko E.Ya. Dy namic mathematical models of induction motors:
monograph. Magnitogorsk: Publishing house Magnitogorsk. Magnitogorsk
State Technical Univ ersity named after G.I.Nosov , 2011.
38 ———————————————————————————————————
. . .
. 2011.
3.