3010
.pdf8 4 . 4 : 4 3 4 1. 4 1
2 3 / 3 3 3
xq . 8 4 2 . 0 / 60
3 / . 1- 3 3 /0 xad .
5 1 . 1 3-3/
8 4 3 /: 1 6 2 3 /4 0 4 / :8 1 41, 3 / 1
(2.20) (2.21):
ψ |
d |
= (x H |
+ x )i |
d |
+ x H i |
f |
+ x H i |
yd |
; |
|
|
ad |
σ |
ad |
ad |
|
|
||||
ψ q = xqiq + xaqiyq ; |
|
|
|
|
|
|||||
ψ f |
= xadH id + (xadH |
+ x fσ )i f |
+ xadH iyd ; |
(2.39) |
||||||
ψ yq = xaqiq + x yqiyq ; |
|
|
|
|
|
|||||
ψ yd = xadH id + xadH i f + (xadH + x ydσ )iyd , |
|
|||||||||
xadH - 8 . 3 / 4
. 1 - 3 3 /0 .
3 / 1, 3 & 2/ .
- , 13/ / 2 /
8 4 1 /. 5 1 / 1 / 2 / 2 4 , / /0, . 1 0: xadH
/ 2 8 4 1 3 2 0. / /0, /4 3 / 4 8 . 4
3 / 4 . 1- xadH 1
3 /0. 0 4 41 /4 3-3/
6 1 4 1 2.
51
8 4 5 / 139
iyd |
iyq /:, |
|
4 |
|
/4 |
||||||||
3-3/ 3 1 : |
|
|
|
|
|
|
|
|
|||||
ψ |
d 0 |
= (x H |
+ x )i |
d 0 |
+ x H i |
f 0 |
; ψ |
q0 |
= (x |
aq |
+ x )i |
q0 |
; |
|
ad |
σ |
ad |
|
|
σ |
|
||||||
ψ f 0 = xadH id 0 + (xadH |
+ x fσ )i f 0 . |
|
|
|
|
(2.40) |
|||||||
/4:8 3 3 /0 3 3 41 5 1 / 2 . 3 :
|
(γ cosθ |
|
− x H i |
|
α )(x |
|
+ x )α − γr sinθ |
|
|
|
|
|
|
||||
id 0 = |
|
0 |
ad |
f |
0 |
aq |
|
|
σ |
|
|
0 |
|
; |
(2.41) |
||
r 2 + (x H |
+ x )(x |
aq |
+ x )α 2 |
|
|
|
|||||||||||
|
|
|
|
|
|
|
|||||||||||
|
|
|
ad |
σ |
|
|
σ |
|
|
|
|
|
|
|
|||
|
(γ cosθ |
|
− x H i |
|
α )r + γ (x H |
+ x |
)α sinθ |
|
|
|
|
|
|||||
iq0 = |
|
0 |
ad |
f 0 |
|
|
|
ad |
σ |
|
|
0 |
|
. (2.42) |
|||
r |
2 + (x H |
+ x )(x |
aq |
+ x )α 2 |
|
|
|
|
|||||||||
|
|
|
|
|
|
|
|||||||||||
|
|
|
ad |
σ |
|
|
|
σ |
|
|
|
|
|
|
|
||
4 (2.40) |
– (2.42) |
|
.2 4 |
i f 0 , |
|||||||||||||
/ . θ 0 4 /4: 4 . 1 / 1.
&/4 1 6 3 0 8 4 1 -3 3 3 /0 3 /4 4 / . /0 :8 +& . 6 1 . . 3 3 /0
/ / . /0 :8 3 3 /0 ,
i f 0 + id 0 . # . /0 :8 1 +&
. /0 :8 3-3/ . 6 1 . . /
4 1, 3 1 /0 / 8 4
, )& 1 /0 -. / /0, / . /
52
1 6, 3 1 80: 1 3 / 0 xadH9- . /0 :8 ( i f 0 + id 0 ).
&/4 3 8 4 ./ 1 2
/ 1 6
3 3 /4: 4 1 1 1. ' 2.3 3 . 4 / ,
. 1 4 1 /0. .2 4 iB 5
3 4 1 /0
-. . 1 .2 4 iB = 1 . .
2 . 4 )& / E = 1 . . ) 3 1 /0 4
/ 4 3 /:
1 6 6 3 1 /0
, 3 5 1 3 1 3 / 6
/ 4 1 0 3 1.
1 4.0 1 1 .2 4 1 /0
/ iB 1 .2 4
3 4 1 1 /0 - i f .
5 3 1 /0 / 4 .2 4,
3 /, 4 9 . - , 3 5 1 1 3 . 0, 8 /4 4 3 1
/0 -. 2 3 1 4 0 /4
/ 1 /0 -, 21 3 4 4 1. &/4 5 21
3 : 4 / 9 .
21. . .2 4 3 /4 4 [140 .]
i' |
= |
i f |
, |
(2.43) |
|
||||
f |
|
mi |
|
|
|
|
|
||
i f - .2 4 /0 21, ;
53
mi - 599- 3 4 , 3 /4 1
1 |
|
|
|
|
m = |
2m1w1kob1kd |
, |
(2.44) |
|
|
||||
i |
π 2 pw f |
k f |
|
|
|
|
|||
. 0 m1 - / 9 . 21 ;
w1 - / 9 . 21 ;
w f - / 21 .2 4 3 /:;
kob1 - 21 59921 /4 3 1;
kd - 599- 9 1 3 /4 3 3 /0 ;
kf - 599- 9 1 3 /4 3 3 /0
.
#. 2.3. ' 1 /0 4 /
1 6
54
/ 3 21 .2 4
2 . : - , 3 / 1 .,
1 /0 -
i f = |
i'f |
(2.45) |
|
|
|||
Ib |
|||
|
|
-/0: 3 8 4 . 3 . 4 /,
. ., 3 / /0 1 1 / 1
2 : 4. 3 4 1 /0 - 2 . .2 4 . : 3 /
: 1 3 /4 . ., 1 /0
3 3 /0 3 11 .. 4
1 /0 - 3 / / / . «1 xad », 3 .2 4 i f ,
1 - , )& / / . :
3 / 4 3 3 /0 . .
E0 = i f xad = 1 xad . |
(2.46) |
7 xad 3 5 1 2 4 3 3 41/
8 / . 2.3 (3 41 4).
3 5 3 1 8 . xadH 3 i f 0 = 1.0 . . 2 / 2.1 . . 0, /4 3 / 4
)& / , - , 21 .2 4
2 1 . 0
i f 0 |
= |
E |
= |
1 |
= 0.476 , . . |
(2.47) |
x H |
|
|||||
|
|
2.1 |
|
|||
|
|
ad |
|
|
|
|
55
! 4 . 5 2/. 2.1 . 41 .2 4
1 /0 / iB 3 /
. 4 .2 4 i f |
1 xad . |
||||||||||||||||
/ )& / |
|
E |
|
|
i f 3 / |
||||||||||||
. 1 0 x H |
= f (i |
f 0 |
+ i |
d 0 |
) . |
|
|
|
|
|
|
|
|
||||
|
ad |
|
|
|
|
|
|
|
|
|
|
|
|
||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2/- 2.1 |
||
, , . |
0 |
|
0.58 |
|
1,0 |
|
|
1.21 |
|
1.33 |
|
1.40 |
1,46 |
1.51 |
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
i , . . |
0 |
|
0.5 |
|
1.0 |
|
|
1.5 |
|
2.0 |
|
2.5 |
3.0 |
3.5 |
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
If, . . |
0 |
|
0.24 |
|
0.48 |
|
|
0,72 |
|
0.95 |
|
1.19 |
1.43 |
1.67 |
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
x ' , . . |
2.44 |
|
2.44 |
|
2.10 |
|
|
1.69 |
|
1.40 |
|
1.18 |
1.02 |
0.91 |
|
||
ad |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 3- 8
1 6 2/ 4 . 1 0 x H |
|
ad |
|
8 4 1 2 0 3 / 9-/0
. 1 0:. ' 3 1, 3 1 80: 1 1 06
[36] 1 33 1 0 9-
|
2.44 npu 0 < i f 0 + id 0 ≤ 0.238; |
|
|
|
xadH |
|
2 − 2.105(i f 0 + id 0 ) + 2.933 (2.48) |
||
= 0.534(i f 0 + id 0 ) |
||||
|
|
|
|
|
|
npu 0.238 < i f 0 |
+ id 0 < 1.971. |
|
|
|
7 4 .2 4 i f 0 |
/ |
. θ 0 |
|
. : 4, / |
:8 |
|
3 /0 |
|
56
- 4 4 id 0 /4 4 3 (2.41) (2.48).
/ 3 2/ 4 2 4 id 0 = 0 , xadH 1
5 3 3 /4 4 3 (2.48). # 3 3 1 . 4 xadH 3 /4: 4 (2.41).
4 (2.18) (2.39) 2 . : 3 / : 1
99-/0 8 4 3 3 /:
1 6. 1 /, 2 1
/ 0 - 2 1 6
1 .1 4:8 4 8 4 / 1 -3,
4 3 3 2/ 4 (2.31) 2 1
3 /4 0 . 4 xadH , 3 /4 1 3 (2.18) (2.39) /4
. 4 .2 4 i f 0 . 0
8 4 1 -3 3 1 4 3 4 1,
4 (2.31) / 3 /4 0 8 .
x H |
= const , |
3 /4 1 |
5 3 1 /0 1 |
/ |
ad |
|
|
|
|
1 3 1.
2.3. 2 99-/0 /4
/ 3 4 1 1 1
/
/ 1 2 . 1 1 3 / 0 4 /4
-3 /4 1 & 3 4 1 1 1.
2 / 1 3 4 4 4
/4 & .2 1 3 4 1, 3 / 4 1 , 6 . [41, 114, 153, 184].
2 0: 5 1 / 2, /0 21 .2 4 3 / 4 3 4 1 . 1 1 / [15, 122]. / 3 4 1 2 / ., 2 4
/4 11 1, . :8 4 4
1, 3 .1 1 2 2 3 1 8 0 4 3
57
3 41 .. / 3 41 . 11
1 . 4 14 3 1 1 [114]:
1 3 1 0: 3 3 /0 Gmd = tgβ 9 +& 1 Fm0 = const .
3 8 4 3 4 1 1 2 0 . 1 5 / 9 21 .2 4 2 . 3 0, /: [114].
I |
|
= |
Fmo |
, |
(2.49) |
|
MO |
wm |
|||||
|
|
|
|
|||
|
|
|
|
|
wm = 1 - / 9 21 .2 4
3 /:.
3 0 4 /4 & 3 4 1 1 1 1 3 0 / :8 1 [114]:
u |
|
= |
dψ |
d |
− ψ |
ω + ri |
; u |
|
= |
dψ q |
+ ψ |
|
ω + ri |
; |
||||||||
d |
|
|
|
|
q |
|
|
d |
||||||||||||||
|
|
|
dτ |
|
|
q |
|
|
d |
|
|
dτ |
|
|
|
q |
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
|
|
0 = |
|
dψ yq |
+ r i |
|
; 0 = |
dψ yd |
+ r |
i |
|
|
; |
(2.50) |
||||||||
|
|
|
|
|
|
yq |
|
|
|
yd |
||||||||||||
|
|
|
|
|
|
|
|
|
||||||||||||||
|
|
|
|
|
dτ |
|
yq |
|
|
|
dτ |
|
|
yd |
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
M = H dω + M c , dτ
5/ 1 1 1 3 /4 4 1 (2.3),
. 1 3 4 1 9 21 .2 4 3 . /4 . 3 0 3 / 3-3/ 4 21 /4 & 5/ 1 1 .2 1:
58
ψ d = xd id + xad iyd + xad I MO ; ψ q = xqiq + xaqiyq ;
ψ yd = xad id + xad iyd + x yd I MO , (2.51)
ψ yq = xaqiq + x yqiyq .
. .2 4 I MO , 4
9 /4 & 3 4 1 1 1, 3 / . 1- xad 1 /0 - 1
. 1 0 3 0 .2 [114]
ε = |
E0 |
, |
(2.52) |
|
U b
E0 - )& / .
4 /4 -3 /4 1 & 3 4 1 1 1 1 3 / 0, 3 , 3 /4 & 5/ 1 1 .2 1. 1 ./,, 3 1 4 1 (2.52), 1
99-/0 3 2 & 3 4 1 1 1 / 1 3 4 4 1 3 0 , 2 1 /4 1 1 1 / 4:
dψ |
d |
= ψ ω − ri |
|
− γ sinθ ; |
dψ yq |
= −r i |
|
; |
|||
|
|
|
d |
|
yq |
||||||
dτ |
|
|
|
q |
|
dτ |
yq |
|
|||
|
|
|
|
|
|
|
|
|
|
||
|
|
|
dψ q |
|
= −ψ d |
ω − riq + γ cosθ ; |
|
|
(2.53) |
||
|
|
|
|
|
|
|
|||||
|
|
|
dτ |
|
|
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
59
dψ yd = −ryd iyd ;
dτ
dω |
= |
1 |
(M − M |
|
); |
dθ |
= α − ω. |
|
|
c |
|
||||
dτ |
H |
|
dτ |
||||
|
|
||||||
4 /4 3 / 3-3/ 21 (2.51) 3 1 :
ψ d = xd id + xad iyd + ε ; |
ψ q = xqiq + xaqiyq ; |
ψ yd = xad id + xad iyd + ε , |
ψ yq = xaqiq + x yqiyq . (2.54) |
! 3 / 4, 48 4
(2.51) (2.54), : 4 /4 2 . f = fb , .1 3 4 4 3 1 3 /
4 / 1 α γ . |
|
3 / 2 / 1 |
|
3 / 4 & 3 4 1 1 1. / & 1 -: /0 1 3 / 1
3 4 1 . 1 139 21, 3 0 .2 ε
3-3/ /4 5 21 / 3 4 0
/: [114]. 5 1 / 2 /: 3 / . 1- . 1 21 1.
4, . :8 -3 /4 1 &3 4 1 1 1 (2.53), (2.54) (2.3), 2 3 0 1 2 2
/, 2 2 /
1 3 /.
!. & 3 4 1 1 1 / 3 / 0 4 /4 /
[60, 69]. &/4 5 / 60 3 4 0 /: 3 0
60