3010
.pdf, 1 3 4 3 1
4 &, 5 / [114].
2 3 3 1 /
4 3 2 /0 1 , 3 /4 1
N = |
ω max − ω min |
, |
(2.1) |
|
|||
|
ωc |
|
|
ωmax , ωmin - 1 1 /0
1 1 /0 . 4 / 8 4 , ωc - 4 / 4 0 8 4 1 3 /4.
) 3 1 /0 1 / 41 [114]
1 / . 1 [171] ., 9 .
& . /0 3 : 11 1
9 . 1 1 /41 3 2 /0
1 8 4. 5 1 1 / . /0 2/ : 1 06 0: 2. . -/
/ 4 /4 4 3 / 2 /0
1 8 4 6 4 3 / 1 99-/0 /4 5 / &.
7 2 & / 3
. /0 3 8 /4 6 4. 3 / -
2 3 6 1 2 0 3 / 1 06 1 . 1 1. ! 3 5 1 6 4 /
0 . 2 /
1 / 1 8.
31
2.2. & 99-/0 4
/ 5/ 1 1 .2 1
/ . / 4 4 3 1 & 0
2 2 3 0 1 1 1 /.
3 / 0 / 3 / 2 /0 /4 /.
48 14 3 1 :
: / . : : 1 6, /4
2 3 1 : 4 / :8 3 8 4 [5, 24, 52, 86, 120 .]:
1.!.1 8 4 1 -3 3
4.
2./, 4 / 4 ., 4
:.
3.1 8 / -
3 / . 6 1 . . /0.
4.! 3 / 4 4 4 21
1 6 . 4 3 / 4
3.
5.21 1 6 11. .
21 1 : / ,
3 / 4 . 1 1 .
. 1 21 3 / 11
/0 3 /0 (d) 3 3 (q) .
6.4 1 6 2 2 2 /06 1 8.
7.1 3 4 4, 3 / . 1 1 21, /0.
/ . 3 8 4
1 : 4 / 4 4 3 / /0, 2 /0 6 1 3-/0 0 4.
&/4 1 1 3 4 3 3- , 3 48 1 6, /4: 4
4 4 3 4 21 4
4 1 1 / 1 6 (4 4).
32
1 . 3 1 1 3 /4 4 2 1 1
3 / /0 3 / /. 2 /4 1 6 28 3 4 1
d – q, 4. 1, 4
3 . 2.1 [5, 24, 52, 86 .]. 5 1 3 / /0 1 3 / 1 9 . 4
3 / - 9 . / 1. 7 3 / /0 3 / 4 9 . 21 3 1 : 4 3 / /0 3 / 4 1 8 / (+&)
:8 6. ' 3 / 3 /0
d 3 0: 3 /: , 3 / 3 3 q 3 0 d 90 5/
. 8 1
3 / 3 1 4
3 / /0. / /0 1 4 /4: 4 / (3- ), 3 / 4 3 :
3 / /0 1 3 / 1 .
7 1 2 1 6 3 1 4 1 2 / 1, 3 5 1 5/ 1 8 :8 1 1 / .
3 1 : 4 3 / /0 1 1 /4.
3 2 . 1 6
1 6 8 3 4, /
3 /0. 0 4 28 3 4 1 /0
- [5, 24, 52, 86 .]. /, 2
2 . /, 3 4 4 [140]. ' 2 / 3 2
/ . 1 /0 - [5, 31].
33
#. 2.1. , 1 21
1 / . 1 6
#. 2.2. 4 11 6 4 1
2 1 6
34
1 1 1, 21 3
21. 0, 21 3
/ 9 . 21 [34]. ) .1 0 3 1 4 0 1 /0 - /4 21
.
1 , . 1 : 139 : 21
. 1 1 14 5 / 1 . 1 1
1 3 3 /0 3 3 41 [52].
2 1 1 d q,
8 :8 4 1 1, 1 /0
- 99-/0 4 & 5/ 1 1 .2 1 3 3 4 1 3 13/
3 4 3 4 1 : / :8 [24, 52 .]:
u |
|
= |
dψ |
d |
|
− ψ |
|
ω + ri |
; |
u |
|
= |
|
dψ q |
+ ψ |
|
ω + ri |
; |
||||||||||
d |
|
|
|
|
|
q |
|
|
|
|
d |
|||||||||||||||||
|
|
|
dτ |
|
|
|
q |
|
|
|
d |
|
|
|
|
dτ |
|
|
|
|
q |
|
||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
u |
|
= |
dψ f |
|
+ r |
i |
|
; 0 = |
dψ yd |
+ r |
i |
|
; |
|
|
|
(2.2) |
|||||||||||
f |
|
|
|
|
f |
|
|
|
|
yd |
|
|
|
|||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||
|
|
|
dτ |
|
f |
|
|
|
|
|
dτ |
|
|
|
yd |
|
|
|
|
|
|
|||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
0 = |
|
dψ yq |
+ r i |
|
|
; |
|
M = H |
dω |
|
+ M |
|
, |
|
||||||||||||||
|
|
|
|
|
yq |
|
|
|
c |
|
||||||||||||||||||
|
|
|
|
|
|
|
|
|
||||||||||||||||||||
|
|
|
|
dτ |
|
|
|
yq |
|
|
|
|
|
|
|
|
|
dτ |
|
|
|
|
|
|
||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
5/ 1 1 1 8 4 3 /4 4
1
M = ψ d iq |
− ψ qid , |
(2.3) |
3-3/ 4 21 |
. 3 : 4 |
/ :8 1 |
2 . 1: |
|
|
35
ψ d = Ld id + M ad i f + M ad iyd ; ψ q = Lqiq + M aqiyq ;
ψ f = M ad id + L f i f + M ad iyd ;
(2.4)
ψ yq = M aqiq + Lyqiyq ;
ψ yd = M ad id + M ad i f + Lyd iyd .
4 (2.2) – (2.4) 3 /0. / :8 2 . 4:
r, rf , ryd , ryq |
- |
|
3 / 4 |
|||
:8 ; |
|
|
|
|
||
Ld , Lq , L f , Lyd , Lyq |
- ; |
|
||||
M ad , M aq |
- . 1 ; |
|
||||
id , iq , i f , iyd , iyq |
- 1 . 4 ; |
|
||||
ψ d ,ψ q ,ψ f ,ψ yd ,ψ yq |
- |
1 |
. 4 |
|||
3-3/; |
|
|
|
|
|
|
ud , uq , u f |
- 1 . 4 3 4; |
|
||||
M - 5/ 1 8 :8 1 1; |
|
|||||
M c - 1 1 3 / 4 /; |
|
|
||||
ω - 1 |
. |
/ |
|
8 4 |
||
; |
|
|
|
|
|
|
H - 1 4 3 4 4 8 :8 4 1;
τ - 14, 1 /0 -.
1 (2.2) 3 4 4 ud uq 0
3- 9 . 3 4 4 3 /0 : 3 3 : 3 4 1 .
!. 11 . 2.2, 4 3 / /4 .2 1 6, 2 :8
1 /4, 1 . 3 0:
36
ud = −U m sinθ ; uq = U m cosθ , |
(2.5) |
θ - 5 / 1 8 :8 1 4 1 3 4 4 U m 3 3 0: , . 1 2 / 1
..
3 4 1 /0 -
(2.5) /0 3 8 4, / 3 4 0, U = U m = 1
ud = − sinθ ; uq = cosθ . |
(2.6) |
/ . 1 9 . - 1 3 / 0 . 6 4
t |
|
θ = ∫(ω1 − ω)dt + θ0 , |
(2.7) |
0 |
|
ω1 = ωb - / 4 0 8 4 1 3 /4, 3 4 4 . 2 . :;
θ 0 - /0 . / ..
99- / : 3 : 4
(2.7), 1,
dθ |
= ω1 − ω. |
(2.8) |
|
||
dt |
|
|
/ 2 (2.8) 2 . : / : 0, 3 / 1
dθ
= ω1 /ωb − ω /ωb . (2.9)
dωbt
37
1 /0 - (2.8),
1 (2.9) , f1 = fb , 3 2 |
|
||
|
dθ |
= 1 − ω. |
(2.10) |
|
|
||
|
dτ |
|
|
3 /0. / /0 1 6 1
(2.2) -/ 2 . 3 , 2 1 /4 1 / 4. &/4 5 2 1 /
3 3 3 . 3 1, 0
3 0 : 1 (2.2)
1 /0 99-/0 .
1 4 (2.6) (2.10) 1 (2.2)
. 3 6 1 / :8 1 2 . 1:
dψ |
d |
= ψ ω − ri |
|
|
− sinθ ; |
|
dψ f |
= −r |
i |
|
+ u |
|
; |
|||||||||||||
|
|
d |
|
|
|
|
f |
f |
||||||||||||||||||
dτ |
|
|
|
q |
|
|
|
|
|
|
|
|
|
|
dτ |
|
|
f |
|
|
|
|
||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
dψ q |
= −ψ |
|
ω − ri |
|
+ cosθ ; |
|
dψ yd |
= −r |
i |
|
; |
|
||||||||||||||
|
|
|
d |
q |
|
|
|
yd |
|
|||||||||||||||||
|
|
|
|
|
|
|
||||||||||||||||||||
dτ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dτ |
|
|
|
yd |
|
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(2.11) |
dψ yq |
|
= −r i |
|
; |
|
dω |
= |
1 |
(M − M |
|
); |
|
|
|
|
|
|
|||||||||
|
|
|
|
yq |
|
|
|
|
|
c |
|
|
|
|
|
|
||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||
dτ |
|
|
yq |
|
|
|
dτ |
|
H |
|
|
|
|
|
|
|
|
|
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||
dθ = 1 − ω. dτ
1 (2.11) 4 /4 4 1
99-/0 & 5/ 1 1 .2 1 3 2 3 4 1 3 13/
3 4 1. &/4 / . -3 /4 1 &
1 (2.11) 2 1 3 2 . 0. 1
38
/0 . 4 3 4 4 γ α [21, 44,
138]
γ = |
U m |
= |
U |
; α = |
f |
= |
f |
, |
(2.12) |
|
|
|
|
||||||
|
U b U b |
fb |
|
f1 |
|
||||
U m , U , f - 8 . 4 3 4 4
3 4.
/0 13/ . 3 4 4 U m
2 4 /4 0 4 3 4 /, /4:8
3 4 3 3 /0 3 3 41 (2.5) 1
/0 - 3 /4: 4 6 41 [77]:
u |
|
= − |
U m |
sinθ ; |
u |
|
= |
U m |
cosθ , |
(2.13) |
d |
|
q |
|
|||||||
|
|
U b |
|
|
U b |
|
||||
|
|
|
|
|
|
|
||||
/ 1 (2.12): |
|
|
|
|
|
|
|
|
|
|
|
ud = −γ sinθ ; |
uq |
= γ cosθ . |
(2.14) |
||||||
!. 4 (2.8) 3 / 1 /4 /
8 4
ω = ω1 |
− |
dθ |
. |
(2.15) |
|
||||
|
|
dt |
|
|
# . / 1 (2.15) 3 / 2 . : / : 0
ωb
ω |
= |
ω1 |
− |
dθ |
= |
2πf |
− |
dθ |
= α − |
dθ |
. (2.16) |
|
|
|
|
dτ |
|
||||||
ωb ωb |
|
dωbt 2πfb |
|
|
dτ |
||||||
39
/0 3 / 1 |
|
||
|
dθ |
= α − ω. |
(2.17) |
|
|
||
|
dτ |
|
|
3 0 1 99-/0 (2.11) /4 & 5/ 1 1 .2 1 1 6
(2.14) (2.16) 1 3 0 :
dψ |
d |
= ψ ω |
− ri |
|
− γ sinθ ; |
|
dψ f |
|
= −r |
i |
|
|
+ u |
|
; |
|||||||||||||
|
|
d |
|
|
|
|
|
|
|
f |
|
f |
||||||||||||||||
dτ |
|
|
q |
|
|
|
|
|
|
|
|
|
|
dτ |
|
|
f |
|
|
|
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
dψ q |
= −ψ |
|
ω − ri |
|
+ γ cosθ ; |
|
|
|
dψ yd |
= −r |
|
i |
|
; |
|
|||||||||||||
|
|
d |
q |
|
|
|
|
|
|
|
|
yd |
|
|||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||
dτ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dτ |
|
|
yd |
|
|
||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(2.18) |
|
|
|
dψ yq |
= −r i |
|
; |
dω |
= |
1 |
|
(M − M |
|
); |
|
|
|
||||||||||||
|
|
|
|
|
|
yq |
|
|
|
|
|
c |
|
|
|
|||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||
|
|
|
dτ |
|
|
yq |
|
dτ |
|
|
|
|
H |
|
|
|
|
|
|
|
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||
dθ = α − ω. dτ
4 /4 5/ 1 1 1 (2.3) 3-3/ (2.4) : 4 2 . .1 4. ' 2 1 3 0, 4 /4 3-3/ (2.4)
. 3 . . 1.
1 /0 -
3 / 4, /4 1 /0 (2 .)
, : 4 1 1 / 1 . 1
L = |
L |
= |
Lωb |
= |
x |
= x, |
(2.19) |
|
|
|
|||||
|
Lb Lbωb |
|
xb |
|
|||
40