אא
Induction Motors
אאא
W
Three Phase Indution Motors:
W
א
א
א
א
א
٦٨٨١
אאא
א
א
،
א
אאאאא
א
W
•
א
K
•
א
אא
K
•
K
•
אא
א
K
•
אא
K
אא
W
•
א
K
•
אאא
F
٥
J
٧
E
א
א
E
•
אא
א
K
א
א
א
אאאא
אאא
K
אאאאאאאאאא
א
(Induction)
אאאאא
،
א
،
אאא
א
א
،
אאא
אא
K
١
J
١
א
א
א
W
אא
א
אא
Stator
א
אא
Rotor
،
א
F
١
J
١
KE
١
J
١
W
א
١
J
١
J
١
אא
W
אא
א
F
١
J
٢
E
،
א
אאא
א
٠{٣
٠{٦
،א
אא
א
א
א
א
א
אא
אא
،
א
F
١
J
٢
KE
אאאא
א
אא
א
א
אאאא
אאא
א
אאאא
،
אאאאא
אא
א
א
א
א
،
אא
،
٠٢١
،
אאא
،
אא
אא
K
א
١
J
٢
W
א
אאאא
אאא
١
J
١
J
٢
אאא
W
،
א
אא
K
א
א
א
،
אאא
،
א
אאא
(Slip-ring motors)
אאאאאא
،
(Wound rotor motors)
אאא
א
(Squirrel cage motors)
J
אאא
א
W
(Wound Rotor)
אאאאאאא
אאא
אא
א
،
K
א
א
،
א
אאא
K
אאא
א
א
א
א
א
،
א
א
٠٢١
K
אאאא
א
(Wound rotor)
K
אאאא
،
-
אאאא
(Slip Rings)
אא
א،
F
١
J
٣
KE
אאאא
א
،
אאא
،
א
א
אא،
א
א
א
K
א
١
J
٣
W
א
אא
F
a
E:
א
F
b
E
א
J
אאא
אא
W
(Squirrel-cage rotor)
אאא
א
א
א
אא
אא
،
אא
،
אאא
،
אא
אאאא
،
א
אא
(Squirrel cage)
F
١
J
٣
E
F
١
J
٤
E
،
אאאאאא
K
אאאאא
אא
،
אא
אא
אאאא
،
אאאאאא
א
١
J
٤
W
אא
אא
א
١
J
٢
אא
אא
W
א
،
٠٢١
،
א
אא
אא
٠٢١
،
אא
٠٢١
אא،
אא
אא
אא
א
F
١
J
٥
E
،
אאא
אאא
Synchronous speed
אא
W
א
F
١
J
١
E
P
f
n
s
s
⋅
=
120
W
n
s
W
אא
א
f
s
W
אא
P
W
א
F
١
J
٥
E
אאאאא
،
אא
K
אאאאאא
אאאא
٠٦
אאאא
אאאאא
٠٨١
אאאא
٠٢١
אאאא
٠٠٣
אאאא
٠٤٢
אאא
א
٠٢٤
אאאא
אאאא
٠٦٣
אאאא
א
F
١
J
٥
EW
אאאאא
אא
א
אא
،
אאא
אא
،
אאא
א
F
١
J
٥
E
א
٠٦
אא
،
אא
٠٦٣
،
אאאאאא
א
אאאא
אאאא
K
١
J
٣
א
א
א
W
אאאא
א
אא،
א
אאא
،אא
א
אא
אא
אאא
א
،א
א
אא
א
א
א
٠٢١
א
אאאא
אאאא
،
א
א
א
א
אאאא
F
n
s
E
א
א
אא
F
n
J
n
s
E
אא
،
n
א
אא
،
אא
F
n
s
E
א
K
אא
א
אא
אאאאא
אא
א
F
١
J
٦
E
،
אאא
אא
F
١
J
٢
EW
א
F
١
J
٢
E
)
(
sr
r
s
Sin
F
F
T
δ
⋅
⋅
∝
W
T
W
א
K
F
s
W
אאאא
K
F
r
W
אאא
אא
K
δ
sr
W
אא
אאאאא
K
א
אא
،
،
אא
אא
אאא
אא
אא
א
W
א
F
١
J
٣
E
n
n
n
s
f
−
=
W
n
f
W
אאא
אא
F
אא
KE
אאאאא
אא
א
אא
אא
אא
،
אאא
אאאא
אאאא
אא
،
א
א
א
،
אא
אאא
אא،
אא
אאא
אאא
אאא
אא
א
אא
א
אאא
،
א
אא
א
אא
א
אא
א
אאאא
K
אא
אא
אא
א
א
א
،
אא
אאא
אאא
אא
א
אא
،
א
אא
،
אא
א
K
١
J
٦
אאאאאאא
١
J
٤
א
W
א
אא
n
א
،
אאאא
אאאא
n
s
אאא
(n
s
-n)
א
(Slip speed)
،
אאאא
،
א
،
א
(Slip)
א
אא
אאא
،
(s)
א
אא
١
٪
٢
٪
٠{٥
٪
אא
א
אא
٣
٪
٥
٪
،
W
א
F
١
J
٤
E
n
n
n
s
slip
−
=
=
Speed
Slip
s
s
n
n
n
s
−
=
=
Slip
100
×
−
=
=
s
s
n
n
n
s
Slip
%
%
א
א
א
אא
אא
א
(n=n
s
)
אא
א
אאא
(n=0)
K
אא
אא
אאאא
א
F
١
J
٤
E
W
א
F
١
J
٥
E
Rotor speed =
)
1
(
s
n
n
s
−
=
١
J
٥
א
אאא
אא
W
אאא
אאאא
אא
n
s
،
אאא
n
،
א
s
F
١
J
٥
E
אאאא
אאא
(n
s
-n)
א
،
n
s
،
אאאאאא
אאא
K
אאאאאאא
אא
א
אאא
،
א
א
אא
אאאא
אא
א
אא
א
אא
F
א
KE
א
אאא
אאא
אא
א
א
F
E
אא
אאאא
אאא
K
אאא
)
n=0
(
א
)
s=1
(
אא
א
אא
F
f
r
=f
s
EK
אאאאא
(n=n
s
)
(s=0)
אאא
F
f
r
=0
EK
אא
אאאאאא
אא
א
(n
s
-n)
،
א
א
א
אא
א
F
١
J
٤
E
،
א
אאא
אא
א
W
א
F
١
J
٦
E
s
r
f
s
f
⋅
=
F
١
J
١
WE
א
،
٠٤٢
٠٦
א،
אא
א
٥
٪
א
W
E
אאאאא
E
א
אא
אא
E
א
א
א
אא
אא
א
W
rpm
1200
6
60
120
120
=
×
=
⋅
=
P
f
n
s
s
rpm
1140
05
0
1
1200
1
=
−
×
=
−
=
)
.
(
)
s
(
n
n
s
Hz
3
60
05
.
0
=
×
=
⋅
=
s
r
f
s
f
F
١
J
٢
WE
א
٠٥
،
אא
٥٥٤١
א
،
א
אאאא
K
א
W
rpm
1500
4
50
120
120
=
×
=
⋅
=
P
f
n
s
s
rpm
45
1455
1500
=
−
=
−
=
n
n
n
s
slip
p.u.
03
0
1500
1455
1500
.
n
n
n
s
s
s
=
−
=
−
=
F
١
J
٣
WE
٠٥
אאאאא،
אא
٢{٥
،
אא
א
אא
K
א
W
05
.
0
50
5
.
2 =
=
=
s
r
f
f
s
rpm
1000
6
50
120
120
=
×
=
⋅
=
p
f
n
s
s
rpm
950
)
05
.
0
1
(
1000
)
1
(
=
−
×
=
−
⋅
=
s
n
n
s
W
١
J
אא
א
אאאא
אא
K
٢
J
אאא
אא
א
א
؟
٣
J
אאאאאאא
אאא
א
K
א
>
٤
J
אאאאאאאא
K
٥
J
אאאאאא
؟אא
٦
J
אאאא
אא
،
אאא
؟אא
٧
J
אאאאא
٤
K
٨
J
؟אאא
٩
J
א
אא
אא
K
٠١
J
א
אא
؟אאא
١١
J
א
K
٢١
J
אא
א
KKKKKKKKKKKKKKKKKKKKKKK
E
אאאאא
K
E
אאאאא
K
E
אא
K
E
אא
אא
K
٣١
J
אאא
،
אאאאא
KKKKKKKKKKK
א
K
E
אא
E
אאא
K
E
אאא
K
E
אא
K
٤١
J
אאא
،
אאאאאאא
KKKKKKKKKKKKKKK
E
אא
K
E
אאא
K
E
אא
K
E
K
٥١
J
אאאאא
W
E
K
E
אאאא
K
E
אאאא
K
E
א
K
٦١
J
אאאאאאא
،
W
E
אאא
K
E
K
E
אאא
K
E
אאאא
K
٧١
J
אאאאא
W
E
א
K
E
א
K
E
אאאאא
K
E
א
K
E
א
٨١
J
א
אא
،
א
،
W
E
KKKKKKKKK
E
א
KKKKKKKKK
E
אאאאאאא
KKKKKKKKK
E
א
אא
KKKKKKKKKK
E
אא
KKKKKKKKKKK
E
אאאאאאאא
KKKKKKKKKKKK
٩١
J
א
٠٦
،
א
א
אא
אאאא
אא
٢
K
٠٢
J
א
٥
،
א
א
٦١٧
א
،
א
אאאא
K
١٢
J
א
٠٦
،
אאא
א
א
אא
٢{٧
،
א
אא
אא
K
٢٢
J
א
٠٢٢
٠٦
אאאא،
٥
٪
א
W
E
א
אאא
א
K
E
א
אא
אא
E
א
א
א
אא
אא
٣٢
J
א
٠٦
٨
،
א
٠{٠٥
K
אא
W
E
אאאאא
K
E
אאאאאא
K
E
אאאאאאאא
K
E
אאאאא
K
E
אאאאאא
K
א
W
F
E
٥٥٨
F
E
٥٤
F
E
٥٤
F
E
٠٠٩
F
E
٤٢
J
א
٦
٠٦
F
E
א
٠٦١١
א
F
E
אא
٢٩٠١
א
K
א
אאאא
אא
K
א
W
F
E
٣{٤
٪
،
٢
F
E
٩
٪
،
٥{٤
K
١
J
٦
אאא
אא
W
The Equivalent Circuit
אאאאא
אא
א
F
١
J
٧
E
אאא
I
2
א
W
א
F
١
J
٧
E
( )
2
2
2
2
2
2
sX
R
E
s
I
+
⋅
=
E
2
אאאאאאאאא
،
X
2
אאאאא
،
R
2
אאא
،
(sE
2
)
אאא
אאאאאא
s
،
(sX
2
)
א
אאאא
s
،
א
F
١
J
٧
E
s
א
F
١
J
٨
WE
א
F
١
J
٨
WE
2
2
2
2
2
2
X
s
R
E
I
+
⎟
⎠
⎞
⎜
⎝
⎛
=
אאא
F
١
J
٧
E
א
F
١
J
٨
E
א
F
١
J
٧
E
א
١
J
٧
W
אאאאאאא
אאאא
،
א
א
،
אא
K
א
אאאאא
،
אאאא
F
אאא
KE
אאאא
X
m
אאא
K
א
אאא
א
א
א
،
،
א
F
١
J
٨
WE
א
F
١
J
٨
E
W
אאאאאא
W
R
1
,
R
2
W
אאא
אא
K
X
1
, X
2
W
א
אאאא
אא
K
R
c
W
אא
אאאא،
K
X
m
W
א
،
אאא
K
N
1
, N
2
W
אאא
אא
K
אא
אאאא
،
א
אאאאאאאא
א
F
١
J
٩
EW
א
F
١
J
٩
E
W
אאאאאא
F
אא
E
W
א
F
١
J
٩
WE
2
2
1
2
2
E
a
N
N
E
E
'
⋅
=
⎥
⎦
⎤
⎢
⎣
⎡
⋅
=
א
F
١
J
٠١
WE
2
2
2
2
1
2
2
R
a
N
N
R
R
'
⋅
=
⎥
⎦
⎤
⎢
⎣
⎡
⋅
=
א
F
١
J
١١
WE
2
2
2
2
1
2
2
X
a
N
N
X
X
'
⋅
=
⎥
⎦
⎤
⎢
⎣
⎡
⋅
=
א
F
١
J
٢١
E
a
/
I
N
N
I
I
'
2
1
2
2
2
=
⎥
⎦
⎤
⎢
⎣
⎡
⋅
=
א
אא
}
s
R
'
2
{
א
F
١
J
٣١
E
،
אאאא
א
F
١
J
٠١
EW
א
F
١
J
٣١
E
⎥⎦
⎤
⎢⎣
⎡ −
⋅
+
=
s
s
R
R
s
R
1
'
2
'
2
'
2
א
١
J
٠١
W
אאאאאאא
'
R
2
אאאא
אאא
،
(
)
s
s
R
'
−
⋅ 1
2
אאאאאאא
אאא
K
אאאא
F
١
J
٠١
E
א
K
א
١
J
١١
W
אאאאא
R
c
אאאאא
F
١
J
١١
E
אא
F
١
J
٠١
E
א
R
c
F
אאא
،
אאא
،
אאא
KE
١
J
٦
J
١
אאאא
אא
W
אא
אאא
אא
א
F
١
J
٠١
E
אא
،
א
)
I
o
(
א
א
א
א
)
I
1
(
،
אאאא
א
א
F
١
J
٢١
KE
א
١
J
٢١
W
אאאאא
א
א
W
١
J
٤١
'
2
1
R
R
R
eq
+
=
١
J
٥١
'
2
1
X
X
X
eq
+
=
אאאא
F
١
J
٣١
EW
א
١
J
٣١
W
אאאאא
אאאאאאאאא
א
،
א
⎥⎦
⎤
⎢⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
s
s
R
1
'
2
א
אא،
א
אאא
א
K
אא
א
אא
،
א
אא
א
K
אאא
אא
אא
،
אא
،
א
אאא
)
R
1
,R
2
,X
1
,X
2
,R
c
,X
m
(
،
אא
،
אאא
א
،K
אא
אאא
א
אאאא
א
K
J
א
א
F
אאאא
WE
No Load Test
or Open Circuit Test
א
אאא
א
F
١
J
٤١
E
אאא
،
אאאאא
אא
،
אאא
W
אאאאא
2
1
W
W
P
+
=
אאא
אא
אא
F
אא
E
אאא
K
١
J
٤١
W
אאאאא
א
אא
אאאא
א
s
א
،
א
א
א
א
א
אאא
⎥⎦
⎤
⎢⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
s
s
R
1
'
2
،
א
א
،
אאאא
א
،
אא
אאא
K
א
א
א
א
R
c
,X
m
،
א
א
R
c
,X
m
،
א
א
W
אאא
א
F
١
J
١١
WE
m
m
I
V
X
1
=
c
c
I
V
R
1
=
V
1
א
א
א
א
א
F
١
J
٥١
E
I
m
, I
c
I
o
W
א
F
١
J
٦١
E
o
o
m
Sin
I
I
φ
⋅
=
o
o
c
Cos
I
I
φ
⋅
=
W
א
F
١
J
٧١
E
o
o
I
V
P
Cos
⋅
⋅
=
1
3
φ
א
F
١
J
٨١
E
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
⋅
⋅
=
−
o
o
I
V
P
Cos
1
1
3
φ
א
R
c
, X
m
אא
W
א
F
١
J
٩١
E
o
o
m
m
Sin
I
V
I
V
X
φ
⋅
=
=
1
1
o
o
c
c
Cos
I
V
I
V
R
φ
⋅
=
=
1
1
א
١
J
٥١
W
א
א
א
J
א
א
F
אאא
WE
W
Locked Rotor Test (or Short Circuit Test)
א
אאא
א
F
١
J
٦١
E
א
אא
א
א
،
אא
א
א
אאאאאא
א
،
אא
א
F
E
אאא،א
W
אאאאא
2
1
W
W
P
+
=
אאא
אא
אא
F
א
א
E
א
K
א
١
J
٦١
W
אאא
F
א
E
אא
א
אא
אא
F
s
=1
E
א
א
⎥⎦
⎤
⎢⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
s
s
R
1
'
2
אאא
⎥⎦
⎤
⎢⎣
⎡
=
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
0
1
1
1
'
2
R
א
،
،אאאאא
אא
אאא
א
K
א
א
א
(I
o
)
א
،
א
،
א
)
'
I
I
2
1
≅ (
،
א
R
eq
,X
eq
،
א
א
R
eq
,X
eq
،
א
א
אא
א
F
١
J
١١
E
W
א
F
١
J
٠٢
E
2
1
3
I
P
R
eq
⋅
=
א
F
١
J
١٢
E
1
I
V
Z
sc
eq
=
א
F
١
J
٢٢
E
2
2
eq
eq
eq
R
Z
X
−
=
V
sc
א
אאאא
K
J
אאא
W
Dc Test:
אא
אא
R
1
א
א
F
١
J
٧١
KE
א
١
J
٧١
W
אאא
אאאא
(V
dc
)
אאא
אא
אא
،אאא
א
אא
،
אאא
א
F
١
J
٣٢
EW
dc
dc
I
V
R
=
⋅
1
2
א
F
١
J
٣٢
E
dc
dc
I
V
R
⋅
=
2
1
אאאא
٠١
٪
אאא
)
(skin effe
ct
אאאא
K
F
١
J
٤
WE
א
א
א
W
א
P
=600 W
I
L
=20 A
V
L
=220 V
א
P
=1500 W
I
L
=50 A
V
L
=30 V
א
אאאאאא
K
א
W
א
R
c
, X
m
W
א
،
W
V
127
3
1
=
=
L
V
V
A
20
=
=
L
o
I
I
R
c
, X
m
אאא
W
0787
.
0
20
127
3
600
3
1
=
×
×
=
⋅
⋅
=
o
o
I
V
P
Cos
φ
(
)
o
o
Cos
48
.
85
0787
.
0
1
=
=
−
φ
Ω
68
.
80
0787
.
0
20
127
1
=
×
=
⋅
=
o
o
c
Cos
I
V
R
φ
Ω
(
)
37
.
6
48
.
85
20
127
1
=
×
=
⋅
=
Sin
Sin
I
V
X
o
o
m
φ
א
R
eq
, X
eq
W
א
،
W
V
32
.
17
3
30
3
1
=
=
=
L
V
V
A
50
1
=
=
L
I
I
R
eq
, X
eq
אאא
W
Ω
2
.
0
50
3
1500
3
2
2
'
2
=
×
=
⋅
=
I
P
R
eq
Ω
3464
.
0
50
32
.
17
1
1
=
=
=
I
V
Z
eq
Ω
(
) ( )
2828
.
0
2
.
0
3464
.
0
2
2
2
2
=
−
=
−
=
eq
eq
eq
R
Z
X
F
١
J
٥
WE
א
אא،
אאאאא
W
א
אאא
P=179 W
I
L
=7.53 A
V
L
=127 V
א
אאא
P=1265 W
I
L
=34.64 A
V
L
=39.3 V
אאא
I
dc
=20 A
V
dc
=19 V
א
א
אאא
'
X
X
2
1
=
א
W
אאא
R
1
א
F
١
J
١٢
E
W
Ω
475
.
0
20
3
19
2
1
=
×
=
⋅
=
dc
dc
I
V
R
אאאא
F
א
E
R
c,
X
m
W
א
،
W
V
127
1
=
=
L
V
V
A
347
.
4
3
53
.
7
3
=
=
=
L
o
I
I
R
c
&X
m
אאא
W
108
.
0
347
.
4
127
3
179
3
1
=
×
×
=
⋅
⋅
=
o
o
I
V
P
Cos
φ
(
)
o
o
Cos
8
.
83
108
.
0
1
=
=
−
φ
Ω
78
.
270
108
.
0
347
.
4
127
1
=
×
=
⋅
=
o
o
c
Cos
I
V
R
φ
Ω
(
)
435
.
29
8
.
83
347
.
4
127
1
=
×
=
⋅
=
Sin
Sin
I
V
X
o
o
m
φ
אאאא
F
א
E
R
eq,
X
eq
W
א
،
W
V
3
.
39
1
=
=
L
V
V
A
20
3
64
.
34
3
'
2
1
=
=
=
=
L
I
I
I
(R
1
,R
2
,X
1
,X
2
)
אאא
W
Ω
054
.
1
20
3
1265
3
2
2
'
2
=
×
=
⋅
=
I
P
R
eq
Ω
965
.
1
20
3
.
39
1
1
=
=
=
I
V
Z
eq
Ω
(
) (
)
658
.
1
054
.
1
965
.
1
2
2
2
2
=
−
=
−
=
eq
eq
eq
R
Z
X
W
'
2
1
R
R
R
eq
+
=
Ω
475
.
0
1
=
R
W
Ω
579
0
475
0
054
1
1
2
.
.
.
R
R
R
eq
'
=
−
=
−
=
W
'
2
1
X
X
X
eq
+
=
'
2
1
X
X
=
إذن
:
Ω
859
.
0
2
658
.
1
2
'
2
1
=
=
=
=
eq
X
X
X
١
J
א
א
א
؟אאא
٢
J
א
אא
אאא
؟
٣
J
א
א
א
אאא
؟
٤
J
אאא
KKKKKKKKKKKKKK
E
אאא
K
E
אאאא
א
K
E
אאאא
K
E
אאא
K
٥
J
אאאאא
KKKKKKKKKK
E
א
K
E
א
K
E
א
K
E
אאא
K
٦
J
אאא
،
אאאא
א
W
E
א
K
E
אא
K
E
אא
K
E
אאא
K
٧
J
אאא
،
אאא
W
E
א
א
K
E
אא
K
E
אא
K
E
אאא
K
٨
J
א
٥
א،
א
א
אא
W
א
550 W
3.86 A
220 V
א
490 W
12.9 A
35 V
אא
،
א
אאאא
א
٩
J
א
٩٢{٨٤
א
א
אא
W
א
1250 W
21 A
415 V
א
2730 W
45 A
100 V
א
אאאאאא
K
٠١
J
א
٠٢
Y
א
אא
אא
W
א
1050 W
16.5 A
380 V
א
1854 W
32 A
86 V
א
אא
אאאא
R
2
`
=
R
1
&
X
2
`
=
X
1
١
J
٧
אא
אאא
W
١
J
٧
J
١
אא
א
א
W
אא
אא
א
א
א
א
א
F
א
E
،
א
אא
F
א
אא
E
א
א
،
F
١
J
٨١
E
אא
א
P
1
אאאא
،
P
2
א
א
א
K
א
F
١
J
٨١
WE
אאאאא
אאאאאא
P
1
א
،
W
א
F
١
J
٤٢
E
φ
Cos
I
V
P
⋅
⋅
⋅
=
1
1
1
3
W
V
1
W
אא
K
I
1
W
אא
K
ф
W
אא
א
א
א
אאאא
P
cu1
אא
R
1
א
،
א
F
١
J
٥٢
E
،
אאאא
P
core
אאא
אאאאא
،
אאאאא
אא
א
א
א
אא
،
P
cu1
P
core
،
אאא
P
st
א
F
١
J
١٢
KE
אא
א
R
c
אאא
א
F
١
J
٥٢
WE
1
2
1
1
3
R
I
P
cu
⋅
⋅
=
א
F
١
J
٦٢
E
core
cu
st
P
P
P
+
=
1
אאאאא
P
1
P
st
אא
אאאא
אא
،
אא
א
(air gap power)
P
g
K
P
12
א
F
١
J
٧٢
WE
st
g
P
P
P
P
−
=
=
1
12
אא
W
א
F
١
J
٨٢
WE
s
R
I
P
g
'
2
2
'
2
3
⋅
⋅
=
אאאא
אא
P
g
אאא
אא
אא
P
cu2
אא
W
א
F
١
J
٩٢
WE
'
2
2
'
2
2
3
R
I
P
cu
⋅
⋅
=
אאאאא
אא
אא
א
P
m
אא
W
א
F
١
J
٠٣
WE
2
cu
g
m
P
P
P
−
=
א
⎥⎦
⎤
⎢⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
s
s
R
1
'
2
אאאאאא
א
אא
א
א
F
١
J
١٣
WE
א
F
١
J
١٣
WE
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
⋅
⋅
=
s
s
R
I
P
m
1
3
'
2
2
'
2
אא
א
P
m
אאא
אא
אאאא
،
א
P
f
،
אא
א
P
2
F
אא
א
useful mechanical power
E
אאא
א
א
אא
א
W
א
F
١
J
٢٣
WE
f
m
P
P
P
−
=
2
א
F
١
J
٨١
E
אאאאא
א
K
א
F
١
J
٨٢
E
F
١
J
٩٢
E
F
١
J
١٣
E
אאא
W
P
cu2
P
m
P
g
'
2
2
'
2
3
R
I
⋅
⋅
⎟
⎠
⎞
⎜
⎝
⎛ −
⋅
⋅
⋅
s
s
R
I
1
3
'
2
2
'
2
⎟
⎠
⎞
⎜
⎝
⎛
⋅
⋅
⋅
s
R
I
1
3
'
2
2
'
2
א
P
g
s
P
cu2
P
g
)
1-s
(
P
m
K
،
W
א
F
١
J
٣٣
WE
g
cu
P
s
P
⋅
=
2
א
F
١
J
٤٣
E
(
)
g
m
P
s
P
⋅
−
= 1
א
W
(
)
s
s
P
P
P
cu
m
g
:
1
:
1
:
:
2
−
=
אאאא
P
g
אאא
P
m
،
אאאאאא
P
cu2
)
1-s
(
s
K
א
א
s
א
אא
P
cu2
אאא
אא،
אאא
אאא
K
אא
א
אא
אאא
אא
אא
،K
א
K
F
١
J
٦
WE
אאאאא
٠٦
٤
،
٠٢١
אא
٣
،
W
E
אאא
E
אאאאאא
K
E
אא
א
K
א
W
05
0
60
3
.
f
f
s
s
r
=
=
=
rpm
1800
4
60
120
120
=
×
=
⋅
=
P
f
n
s
s
rpm
(
)
(
)
1710
1800
05
0
1
1
=
×
−
=
⋅
−
=
.
n
s
n
s
kw
6
120
05
0
2
=
×
=
⋅
=
.
P
s
P
g
cu
kw
(
)
(
)
114
120
05
0
1
1
=
×
−
=
⋅
−
=
.
P
s
P
g
m
F
١
J
٧
WE
א
אאאאאאא
٣
א
،
א
א
א
٢
א
،
א
א
א
אאא
١{٧
א
،
W
E
אאא
K
E
א
K
א
W
kw
112
2
6
120
2
2
=
−
−
=
−
−
=
f
cu
g
P
P
P
P
hp
150
746
112000
2
=
=
P
kw
7
124
7
1
3
120
1
1
.
.
P
P
P
P
core
cu
g
=
+
+
=
+
+
=
%
.
.
P
P
7
89
100
7
124
112
100
1
2
=
×
=
×
=
η
F
١
J
٨
WE
א
٦
٠٦
،
٨٤
א
٠٤١١
א
،
אאאאא
١{٤
א
،
אא
١{٦
א
،
אאאא
١
א
،
א
K
א
W
rpm
1200
6
60
120
120
=
×
=
⋅
=
P
f
n
s
s
p.u.
05
0
1200
1140
1200
.
n
n
n
s
s
s
=
−
=
−
=
(
)
corw
cu
st
g
P
P
P
P
P
P
+
−
=
−
=
1
1
1
kw
(
)
45
6
1
4
1
48
=
+
−
=
.
.
P
g
kw
(
)
(
)
74
42
45
05
0
1
1
.
.
P
s
P
g
m
=
×
−
=
⋅
−
=
kw
75
41
1
75
42
2
.
.
P
P
P
f
m
=
−
=
−
=
%
.
P
P
87
100
48
75
41
100
1
2
=
×
=
×
=
η
F
١
J
٩
WE
א
٠٤٤
٠٦
א
אאאא
אא
٠٨
א
אאאא
١{٦٧
א
W
E
א
K
E
א
אא
E
אא
א
E
אאא
אא
E
א
אא
א
אאא
אא
٥٦
K
א
W
0334
.
0
50
67
.
1
=
=
=
s
r
f
f
s
rpm
1000
6
50
120
120
=
×
=
⋅
=
P
f
n
s
s
rpm
(
)
(
)
6
.
966
1000
0334
.
0
1
1
=
⋅
−
=
⋅
−
=
s
n
s
n
kw
(
)
(
)
33
.
77
80
0334
.
0
1
1
=
×
−
=
⋅
−
=
g
m
P
s
P
kw
67
.
2
80
0334
.
0
2
=
×
=
⋅
=
g
cu
P
s
P
Ω
( )
21
.
0
65
3
2670
3
2
2
'
2
2
'
2
=
×
=
⋅
=
I
P
R
cu
F
١
J
٠١
WE
א
٠٥
٢٣٧
א
،
אאאאא
٠٤
אאא
١
א
אא
א
٢
א
א
W
E
א
E
אא
א
F
א
E
E
אאא
אא
E
א
א
W
E
א
אא
W
rpm
750
8
50
120
120
=
×
=
=
p
f
n
s
s
024
.
0
750
732
750
=
−
=
−
=
s
s
n
n
n
s
E
אאא
F
א
E
P
2
W
39
11
40
1
=
−
=
−
=
st
g
P
P
P
kw
(
)
(
)
064
.
38
39
024
.
0
1
1
=
×
−
=
⋅
−
=
g
m
P
s
P
kw
064
.
36
2
064
.
38
2
=
−
=
−
=
f
m
P
P
P
hp
343
.
48
746
36064
2
=
=
P
E
אאאאא
P
cu2
W
kw
936
.
0
39
024
.
0
2
=
×
=
⋅
=
g
cu
P
s
P
E
א
W
%
16
.
90
100
40
640
.
36
100
1
2
=
×
=
×
=
P
P
η
١
J
٧
J
٢
אא
א
א
W
אאא
F
Torque
E
א
אאא
א
אא
،
Nm
K
אאא
(total developed torque)
אאאא
אא
אאא
n
s
P
g
s
ω
א
F
١
J
٨٢
KE
אאא
אאא
n
אא
P
m
،
P
m
ω
א
F
١
J
٩٢
KE
א
F
١
J
٥٣
E
Nm
s
g
P
T
ω
=
א
F
١
J
٦٣
E
Nm
ω
m
P
T
=
ω
s
ω
אא
אאאא
،
אאא
אא
א
،
אאא
F
١
J
٧٣
WE
א
F
١
J
٧٣
E
rad/sec.
60
2
s
s
n
⋅
⋅
=
π
ω
א
F
١
J
٨٣
E
rad/sec.
60
2
n
⋅
⋅
=
π
ω
F
١
J
٦٢
E
א
F
١
J
٥٣
E
א
F
١
J
٣٣
E
א
W
Nm
⎟
⎠
⎞
⎜
⎝
⎛
⋅
⋅
÷
⎟
⎠
⎞
⎜
⎝
⎛
⋅
⋅
=
=
60
2
3
'
2
2
'
2
s
s
g
n
s
R
I
P
T
π
ω
א
F
١
J
٩٣
E
Nm
s
R
I
K
T
'
2
2
'
2
⋅
⋅
=
א
F
١
J
٠٤
E
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
⋅
⋅
×
=
s
n
K
π
2
60
3
א
'
2
I
אאאאא
F
١
J
٣١
E
W
א
F
١
J
١٤
E
( )
2
2
2
1
1
1
2
eq
'
eq
'
X
s
R
R
V
Z
V
I
+
⎟
⎠
⎞
⎜
⎝
⎛ +
=
=
א
'
2
I
א
F
١
J
١٤
E
א
W
א
F
١
J
٢٤
E
(
)
( )
s
R
X
s
/
R
R
V
K
T
'
eq
'
2
2
2
2
1
2
1
⋅
+
+
⋅
=
א
F
١
J
٢٤
E
א
אא
،
א
،
אא
א
אא
א
F
١
J
٢٤
E
א
אא
F
١
J
٩١
EW
א
F
١
J
٩١
WE
א
F
א
L
א
E
F
א
L
א
E
א
א
א
אא
F
١
J
٩١
E
،
s=0
s=s
m
אאאאאאאא
s=s
m
s=1
א
אאא
،
א
אא
K
א
אאא
،
א
אאאא
אא
אא
،
אא
אא
K
אאאא
א
אא،
אאא
،
א
אא
א
K
אאא
T
אאא
T
u
(useful torque)
א
אאא
T
f
K
אאאאא
،
P
f
אא
K
אאאאאא
P
2
ω
אא
W
א
F
١
J
٣٤
WE
Nm.
60
/
2
2
2
n
P
P
T
u
⋅
⋅
=
=
π
ω
١
J
٧
J
٢
J
١
א
א
א
אא
)
m
s
(
W
א
F
١
J
٢٤
E
א
א
(s)
،
אא
)
T
max
(
א
אאא
אאא،
א
א
אא
،
א
א
אא
אא
W
א
F
١
J
٤٤
WE
2
2
'
2
'
2
X
R
X
R
s
m
=
=
אא
)
T
max
(
א
'
2
'
2
/
X
R
،
אאא
אא
א
F
א
E
אא
s
m
א
F
١
J
٠٢
EW
א
F
١
J
٠٢
WE
אאאאאאא
א
F
١
J
٢٤
E
אא
א
א
א
'
2
'
2
&
1
X
R
s
m
=
=
א
W
א
F
١
J
٥٤
E
'
2
2
1
max
2
X
V
K
T
⋅
⋅
=
٧
J
٢
J
٢
א
W
א
F
١
J
٠٢
E
א
אאא
אא
،
א
אא
אא
R
2
אא
א
אא
אאא
F
١
J
٠٢
E
،
אא
F
١
J
٢٤
E
)
1
=
s
(
W
א
F
١
J
٦٤
E
(
)
'
2
2
2
'
2
1
2
1
R
X
R
R
V
K
T
eq
starting
⋅
+
+
⋅
=
F
١
J
١١
WE
א
٠٤٢
אאא
W
Ω
=
0
.
1
'
2
X
Ω
=
0
.
1
1
X
Ω
=
6
.
0
'
2
R
Ω
=
4
.
0
1
R
אאאאאא
٠٠٨١
א
א
אאא
א
٠١٧١
א
،א
W
E
אא
K
E
אא
K
E
א
K
E
א
K
E
א
K
א
W
א
W
V
240
1
=
=
L
V
V
E
אאאא
،
א
א
א
W
05
.
0
1800
1710
1800
=
−
=
−
=
s
s
n
n
n
s
'
2
1
I
I
≈
אאאא
אא
W
(
)
( )
2
2
'
2
1
1
1
'
2
1
/
eq
eq
X
s
R
R
V
Z
V
I
I
+
+
=
=
≈
A
(
) (
)
11
.
19
1
1
05
.
0
/
6
.
0
4
.
0
240
2
2
1
'
2
1
=
+
+
+
=
=
≈
eq
Z
V
I
I
E
א
א
א
W
0159
.
0
1800
2
60
3
2
50
3
=
×
×
×
=
⋅
⋅
×
=
π
π
s
n
K
s
R
I
K
T
'
2
2
'
2
⋅
⋅
=
Nm
(
)
74
.
69
05
.
0
6
.
0
11
.
19
0159
.
0
2
=
×
⋅
=
T
E
א
I
1
s=1
W
(
)
( )
2
2
'
2
1
1
1
'
2
1
/
eq
eq
X
s
R
R
V
Z
V
I
I
+
+
=
=
≈
A
(
) (
)
33
.
107
1
1
1
/
6
.
0
4
.
0
240
2
2
'
2
1
=
+
+
+
=
≈ I
I
E
א
T
starting
א
א
F
E
،
א
אא
W
s
R
I
K
T
'
'
starting
2
2
2
⋅
⋅
=
Nm
(
)
9
109
1
6
0
33
107
0159
0
2
.
.
.
.
T
starting
=
×
×
=
E
א
א
T
max
אא
א
א
s
max
W
'
2
2
1
max
2 X
V
K
T
⋅
⋅
=
Nm
( )
92
.
457
1
2
240
0159
.
0
2
max
=
×
×
=
T
6
.
0
1
6
.
0
'
2
'
2
max
=
=
=
X
R
s
F
١
J
٢١
WE
א
אא
٠٠٩
א
،
אאאא
אא
א
٥٤
א
٣٩١{٦
K
אאא
٠{٢
א
F
٢
E
،
אאאאא
W
E
אאא
K
E
א
K
א
W
2
2
2
1
1
2
1
R
N
N
R
R
R
R
'
eq
⋅
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
+
=
+
=
( )
2
2
2
4
2
0
2
2
0
R
.
R
.
R
eq
×
+
=
×
+
=
Ω
(
)
4
0
6
193
3
10
45
3
2
3
2
2
.
.
I
P
R
'
eq
=
×
×
=
⋅
=
Ω
05
0
2
.
R
=
Ω
2
0
2
0
4
0
1
2
.
.
.
R
R
R
eq
'
=
−
=
−
=
rad/sec
25
94
60
900
2
60
2
.
n
s
s
=
×
×
=
⋅
⋅
=
π
π
ω
Nm
(
)
6
238
25
94
2
0
6
193
3
3
2
2
2
1
.
.
.
.
R
I
T
s
'
st
=
×
×
=
⋅
⋅
=
ω
F
١
J
٣١
WE
אאאאאא
F
١
J
١١
E
٠٠٤
٠٦
،
،
W
Ω
20
=
m
X
Ω
2
0
2
.
X
'
=
Ω
5
0
1
.
X
=
Ω
2
0
2
2
1
.
R
R
'
=
⋅
=
א
אאאא
٥٥٧١
א
٠٠٨
א
א
W
E
אאא
K
E
אאא
K
E
אא
K
E
אא
K
E
א
K
א
W
rpm
1800
4
60
120
120
=
×
=
⋅
=
P
f
n
s
s
025
0
1800
1755
1800
.
n
n
n
s
s
s
=
−
=
−
=
אאאא
W
(
)
(
)
[
]
(
)
(
)
[
]
(
)
m
'
'
m
'
'
e
jX
jX
s
/
R
jX
jX
s
/
R
jX
R
Z
+
+
×
+
+
+
=
2
2
2
2
1
1
(
) (
)
[
]
( )
(
)
[
]
( )
20
2
0
025
0
1
0
20
2
0
025
0
1
0
5
0
2
0
j
.
j
.
/
.
j
.
j
.
/
.
.
j
.
Z
e
+
+
×
+
+
+
=
(
)
[
]
( )
20
2
0
4
20
2
0
4
5
0
2
0
j
.
j
j
.
j
.
j
.
Z
e
+
+
×
+
+
+
=
Ω
(
) (
)
444
1
97
3
944
0
77
3
5
0
2
0
.
j
.
.
j
.
.
j
.
Z
e
+
=
+
+
+
=
Ω
o
e
.
Z
20
223
4
∠
=
א
W
V
231
3
400
3
=
=
=
/
/
V
V
L
ph
E
אאא
W
ِِA
20
65
54
20
223
4
231
−
∠
=
∠
=
=
.
.
I
I
L
ph
E
אאאא
W
φ
Cos
I
V
P
P
L
L
inp
⋅
⋅
⋅
=
=
3
1
kw
(
)
58
35
20
65
54
400
3
1
.
Cos
.
P
P
inp
=
−
×
×
×
=
=
אאאא
W
אא
W
1
2
1
1
1
1
3
R
I
P
P
P
P
cu
g
⋅
⋅
−
=
−
=
kw
(
) ( )
788
33
2
0
65
54
3
53580
2
1
1
.
.
.
P
P
P
cu
g
=
×
×
−
=
−
=
אא
W
s
/
R
I
P
'
g
2
2
2
3
⋅
⋅
=
kw
(
) (
)
789
33
77
3
65
54
3
2
.
.
.
P
g
=
×
×
=
אא
W
kw
(
)
(
)
94
32
79
33
025
0
1
1
.
.
.
P
s
P
g
m
=
×
−
=
⋅
−
=
E
אא
W
kw
14
32
800
32940
2
.
P
P
P
f
m
=
−
=
−
=
E
אאא
W
m
u
P
T
ω
2
=
rad/sec.
8
183
60
1755
2
60
2
.
n
m
=
×
×
=
⋅
⋅
=
π
π
ω
Nm
9
174
8
183
32140
2
.
.
P
T
m
u
=
=
=
ω
E
א
W
%
.
.
.
P
P
3
90
58
35
14
32
1
2
=
=
=
η
W
١
J
؟אא
؟
٢
J
א
אא
א
אא
؟
٣
J
אאא
אא
؟א
؟
٤
J
אאא
؟
٥
J
א
א
؟
٦
J
א
א
؟
٧
J
؟אא
٨
J
אאא
؟؟א
٩
J
אא
،
אאא
W
E
אאאאאאאא
K
E
אאאאאא
K
E
אאאאאא
אא
K
E
אאאאאאאא
K
٠١
J
אאאאא
א
א
א
W
E
א
א
،
א
K
E
א
א
،
אא
K
E
אא
אאא
،
א
K
E
אאאאא
אאא
אאא
א
K
١١
J
א
٦
٠٦
،
א
א
٠٥٩
א
،
א
KKKKKKKK
א
K
E
٥٧٤
E
٠٠٥
E
٥٧٩
E
٠٠٠١
٢١
J
אאאא
٠٠١
אאא
٠١
٪
،
אאא
KKKKKKKKKKKKKK
א
K
E
٠١
E
٠٩
E
٩٩
E
٠٨
٣١
J
אאאאאא
א
אא
KKKKKKKKKKK
E
א
E
٠{٧٠٧
E
٠{٨٦٦
E
٠{٥
٤١
J
אאא
אאא
،
א
KKKKKKKKKKK
אאא
K
E
E
E
2
/
1
E
2
/
3
٥١
J
אאא
٠٠١
אא
٢١
٪
،
אאא
٦
٪
KKKKKKKKKK
K
E
٠٠١
E
٠٦١
E
٠٥
E
٠٤
٦١
J
אאאא
KKKKKKKKKKK
KK
E
א
K
E
אא
K
E
אא
K
E
אאא
K
٧١
J
אאא
KKKKKKKKKKKKKK
E
אא
K
E
א
K
E
אאא
K
E
אא
K
٨١
J
א
אא
٠٠٠١
א
٥
א
אא
٥٣٩
א،א
אאא
אאאאאא
٠٠٤
א
٩١
J
א
٠٠٥
٠٦
،
٠٢
٠٤١١
א
،
אא
١
،
א
W
E
א
K
E
אאאאא
K
E
אאאאאאא
٠٠٥١
א
K
E
אאאאאא
٠{٨٦
٠٢
J
א
٠٢
،
٤
٠٠٤
،
٠٦
،
אאא
٥
K٪
אאאא
٠٠٤
א
W
אE
אא
E
אא
E
אאאא
K
١٢
J
א
٠١
،
٤
٠٥١
،
٠٠٤
،
א
אא
٣
K٪
א
אא
٠٠٢
אא
א
W
E
אא
K
E
אאא
KK
E
אאאא
KK
E
א
K
E
אא
K
E
אא
K
٢٢
J
אאאאא
א
٠٠٢
א
٠١٧١
א
٠٥٤
٠٦
א
אא
٣
א
א
א
٦
א
،
א
W
J
א
K
J
אא
א
K
J
א
אא
אא
K
J
א
٣٢
J
א
٠٢٢
٠٥
א،
٠٤٤١
א
٠{٨
אא،
٠١{٨
א
،
א
אא
٠٦٠١
א
אא
٠٩٣
א
،
א
W
E
א
אאאא
K
E
אאאאא
K
E
א
K
E
א
K
٤٢
J
א
٠٢٢
٠٦
،
٠١٧١
א
אא،
١١
א
،
א
א
א
٠٠١١
א
אא
٠٢٤
א
،
א
אא
٠{٨٣
אW
E
אאאאא
K
E
אאאאא
K
E
א
K
٥٢
J
א
٠٨٣
٠٦
،
א
אאא
٤٦٨
א
،
א
אא
٠١
א
،
אא
٠٠٦
א
אא
٠٥٣
א
א
W
E
אאאאא
K
E
א
K
E
אאא
K
٦٢
J
א
٠٨٣
٠٦
אא،
א
אא
W
X
2
`
= 0.52
Ω
X
1
= 0.45
Ω
R
2
`= 0.16
Ω
R
1
=0.12 Ω
א
א
א
W
E
א
K
E
א
K
E
אא
א
א
K
E
א
1
Ω
אא
אא
K
٧٢
J
א
٠٢٢
אאא،
W
X
2
`
= 0.86
Ω
X
1
= 0.82
Ω
R
2
`= 0.6
Ω
R
1
= 0.4 Ω
א
אאאאא
٠٠٥١
א
א
אא
א
א
٠٤٤١
א
،
א
W
E
אא
K
E
א
K
٨٢
J
א
٠٨٣
٠٦
אא،
א
אא
W
X
2
`
= 0.52
Ω
X
1
= 0.45
Ω
R
2
`= 0.16
Ω
R
1
= 0.12 Ω
א
א
א
W
E
א
K
E
א
K
E
א
א
א
אאא
K
٩٢
J
א
،
٤
٠٠٦
،
٠٦
،
אאא
F
١
J
١١
E
K
אאאא
W
Ω
50
=
m
X
Ω
2
2
1
=
=
'
X
X
Ω
8
0
2
.
R
'
=
Ω
75
0
1
.
R
=
א
אאאא
٨٢٧١
א
٠٠٨
א
א
W
-
٢٥
-
E
אאא
K
E
אאא
K
E
אאא
K
E
אא
K
E
אא
KK
E
אא
K
١
J
٨
אא
אא
א
W
١
J
٨
J
١
א
W
אאאאא
،
א
א
،
א
א
٥
٧
אא
،
א
١{٥
٢{٥
אא
،
אא
،
א
s=1
א
⎟
⎠
⎞
⎜
⎝
⎛ −
s
s
R
1
'
2
אאאא
،
،
א
K
אאא
א
א
אאא
،
אאאאאאאא
א
،
א
،
F
אא
א
אא
א
KE
אאא
א
W
١
-
אא
א
אאאא
K
٢
-
אאא
אאא
K
אאא
K
٣
-
אא
،
אא
،
א
א
،
אאא
אאא
K
א
א
٥٢
אא
،
א
אא
א
א
א
،
א
א
K
א
،
א
א
א
א
K
١
J
٨
J
١
J
١
אאאא
W
אאאא
א
F
١
J
١٢
E
،
אאא
א
א
א
א
א
אא
א
אא
אא
،
אאא
،
א
אאא
K
א
١
J
١٢
W
אא
אאאא
١
J
٨
J
١
J
٢
אא
W
W
(Auto-Transformer)
א
١
J
٢٢
W
אא
א
א
אאאא
א
א
F
١
J
٢٢
E
אאאא
א
½
(
)
3
/
1
א
א
אא
،
א
א
אאאא
،
א
א
אא
،
א
א
אא
K
א
،
אא
א
K
١
J
٨
J
١
J
٣
א
L
W
א
א
א
אא
،
אא
א
א
(
)
3
:
1
٧٥
٪
אא
אאא
K
א
F
١
J
٣٢
E
א
،
אאא
،
א
אאא
،
א
،
אא
K
א
١
J
٣٢
W
אא
\
١
J
٨
J
١
J
٤
אאאא
א
W
א
אאא
אא
אא
F
١
J
٤٢
E
،
א
אאא
אאאאאא
،
א
،
א
א
،
אאאא
אא
،
א
F
١
J
٤٤
E
אא
)
T
max
(
א
א
א
א
א
א
=1)
s
max
KEK
א
א
א
א
K
אא
אא
K
א
١
J
٤٢
W
אא
אא
אאא
١
J
٨
J
٢
J
٥
א
W
אא
א
،
אאאאאאאא
א
א
K
אא
א
אאא
K
١
J
٨
J
٢
אא
W
אאאאא
،
אאא
א
אא
،
א
אאא
א
K
אא
אא
،
אאא
א
אא
א
K
אא
،K
אאא
א
،
אאא
K
א
F
١
J
٥
E
א
א
אא
א
אאאאא،אא
K
אאא
א
W
א
א
א
K
١
J
٨
J
٢
J
١
א
אאאאאא
W
אא
אאאא
،
אאאאאאאא
K
א
א
א
،
א
אא
א
א
א
א
א
אא
K
אא
،
אאא
٥١
٪
א
אא
K
אאאאא
א
א
K
١
J
٨
J
٢
J
٢
א
W
אא
،
אא
،
אאאא
،
אא
א
،
א
אא
K
אאאאאא
،
א
א
אאאאא
K
א
،
אאא
א
א
אא
،
،
אאא
،
א
א
אא
K
א
אא
א
F
١
J
٥٢
EK
א
אא
،
א
F
١
J
٦٢
KE
אאאא
א
(Dahlander connection)
אאאא
،
א
،
אא
א
،
א
،
אאא
،
אא
٠٠٨١{١٢٠٠{٩٠٠{٦٠٠
אא
٠٦
K
א
אאא
،
א
אאאאאאאא
،
אא
אא
אאא
אאא
K
אא
אאאא
K
אא
א
F
א
KE
א
١
J
٥٢
W
א
א
١
J
٦٢
W
אאא
١
J
٨
J
٢
J
٣
א
W
א
אאאא
א
א
אא
אא
K
א
א
א
،
אא
אאאאא
אא
א
אא
א
א
K
אא
אא
א
אאא
K
א
א
א
א
K