电机学公式

!
“
c“
9. = −$. + !. B + jk.h !
$/′ = $.′ = !/′
B/ π
+
jk/h
!
!H = !. + !/′!
6! %!
“ “
−$. = !H(BH + jkH)! “
○ &rs. = 3!./B.,7777&rs/ = 3!//′B/′! ○ &I? = 3!H/ BH!
óp8
óp8 cos m/ cos m/ + &I? +
ó/&q8
○ td ○
a
a
i
s
°
s
i
a %!
%
$"J
!
s
òUez(
、
$ÉÑ
S
T
i i
nòUez(
òUez(
S
) !
S
T
òUez(
a
x
d
%! >! ! ! A!
!
p
°
d
i
!t
=
9.
1 uÉ
−
1 uÑ
iqÉ + iqÑ
i $"J $ÉÑ
、 T
3C> B %
!
!. x
!.*. + !/*/ = !H*. ≈ !K*. “
!H e
!.w
!H
d BH + jkH
r
i
h
b ! s ! %!
! es ○
! ΦH
b “
“
!.
≈
!.w
=
−
!/ u
u = $. = *. ≈ 9. ≈ !/ $/ */ 9/ !.
“
$. $.h !.B.
9. = −$. + !.i.
& * = ( ú*ü $T = 4.44*Ll.u£ = 4.44*Ll.u°
2& * = ( ú*ü $T = 4.44*Ll.u£ = 4.44*Ll.u°
’
UN7 U17 U27 IN7 I17 I27 Im7 E17 E27 fn7 f17 f27 n7 n17 n27 ∆)7 s7 p7 Z1=R1+jX17 Z2=R2+Jx27 Zm=Rm+jXm7 ki7 ke7 kz7 T7 KM7 sm7 Tmax7 P17 P27 PM7 PΩ7 CM7 cos m! !
$ = 4.44L.*/Φ.u¢/!
$/E = π! $/hE
k/hE = 2GL/∫/h = πk/! i/hE = B/ + jπk/h!
!/
=
$/E i/hE
=
B/
π$/ ! + jπk/h
4!
“
—
“
!/ =
π$/
!
B// + πk/h /
)/ = π). − )!
5! %!
g. + g/ = gH!
⟺ ,/ = ,. − ∑&!
; = ,/ =
∑& 1−
!
,.
,.
%/ = % − %K = % − %H − %∆!
% = ,-! Ω
—
Ω.
=
2G). 60
=
2GL.! &
% = >-Φ.!/′ cos m/!
>-
=
3×4.44&*.u¢.! 2G
cos m/ =
B/Y
π
!
B/Y π
/
+ k/h′/
3C> B % ’
1 !’ %! 2)! !
UN
IN7
PN
b
i i ’
— —
,8 = 398!8 cos m8 ;8! ,8 = 398!8 cos m8 ;8!
! )! 2 !’
nN fN a
’
a
%!
a’
c
F
t
F% F≠F% ’
w
∆) = ). − )! π = ). − )!
).
F.
.F.F%
9K = L(!#) “
) = )8 c
!# = !#8
9K = L(!)
)%
∆9 = 9K − 98 ×100% 98 t
%!
ah
>!
i
!
w
e
!
k
!
!
e
c
c
%!
!
a
3C> B
%
d
%!
!EP
=
Q RS
!
!
w
9 !EP = B" + BEP
!EP
=
9 B"
− $" + BEP
V%
9" V
!#
V
BT
%!
& =1−
&
,.
,.
,.
“
,- = %P = >F !"P = 9"!" “
,. = ,/ + & i & = &H + &I? + &# + &" + &J + &∆ ,/ = %/P
3C> B
% %!
!
; = ,/ = ,. −
& =1−
&
,.
,.
,.
)=
! = !" = 0
9K = −!"B" + $" = $" = >? )
!/Y
=
$/Y i/′ +
7 iw ′
x
!/Y
s
“ 9/ = $/ − !/i/
s
!H !.
9/′ + !/B/Y + j!/k/Y = $/′7
s
m/
m/ = !/Y , 9/′ 7
ΦH ã —
!H
“
!. + !/ = !H
“
9. = −$. + !.i.
h
i
9. = −$. + !.B. + !.k. m.
s s
○ ○ ○○ i
, = p cos m z = p sin m
p = 9!
3C> B
%!
%!
z
“
“
2)!
“7
“
$. = 4.44L*.ΦH $/ = 4.44L*/ΦH
$. = −j4.44L*.ΦH $/ = −j4.44L*/ΦH7
“ii. = B. + jk.h
s
“
9. = −$. + !Ki. ≈ −$.
○ &∆ = 0.5%&8! !
,-
=
,.
−
&rs.
−
&I?
=
3!Y//
R¿Y E
=
3$/′!/′ cos m/!
,¡
=
,-
− 7 &rs/
=
3!Y//B/′
.ΩE E
! 7!
’ iP
i
’
T
“ “
“
ts
,/ = ,¡ − &H − &∆! ⟺ ,/ = ,. − &rs − &I? − &H − &∆!
ah
ST
z
i
i
○
&rs. = !./B.,7777&rs/ = !/Y/B/7
&I? = !H/ BH
p. = 9.!.
p/ = 9/′!/′7 s
pH = $.!. = $.′!.′ = $/!/7
t$/Y = $. = −j4.44L*.ΦH x
$/Y
ΦH
7
á′—
/
7n/ =
!/Y , $.
= (àâä() k/h′ + kw7 B/′ + Bw
9/ = $/ − !/i/
$/ $/h !/B/
sw
g/ x
*/
pe*.
$/′ = u$/7 $/h′ = u$/h7 9/′ = u9/7
1 !/′ = u !/7
B/Y = u/B/7 k/Yh = u/k/h7 iwY = u/iw 7 ⇒ Bw + jkw ′ = u/(Bw + jkw)7
!
ah
% i U → W → U.
t
%, i U.
“
9 = $" + !"B"
d
)d
t$" = >? )x $"d
!"Y
=
9 − $" B" + BT
x
%i W x
% = >F !"′ $"Y = 9 − !" B" + Be
)Y
=
$" ′ $"
)8
!"
!" ′
$., $/ *., */ 9., 9/ B., B/ g., g/ $.h, $/h Φ.h, Φ/h7 !., !/ i. = B. + jk.h, i/ = B/ + jk/h
ah
% i U. → W → U/
t
% i U.
9 = $" + !"B"
d
)d
t$" = >? )x $"d
!"Y
=
9Y − $" B"
x
%i W x
% = >F !"′ $"′ = 9 − !"B"
“
!"
!" ′
)Y
=
$" ′ $"
)8
!
!#
%, i U. → W → U/
ah
t
%, i U.
“
! “
9/ = $/
u = $. = *. ≈ 9. $/ */ 9/
“
1 v=
9ÉÑ + 9rÉ + 9Ñr
3 9"J 9Ö" 9JÖ
!
d
s
iB. + jk.h
d
t
)!
ΦHz
$.z
−$. = !HBH + j!HkH = !HiH
BH
○
zr
kH
”
H
! %!
“
“ “
g. + g/ = gH ≈ gK
lH7 gH iH m., m/ n/ ; o p8 &q8 &I? &rs !t L u v iw
3C> B )
%
9.8 /9/8
a
i
p8
!.8 /!/8
a
i
L8
Ω
p8 = 9.8!.8 = 9/8!/8
a
p8 = 39.8!.8 = 39/8!/8
a a a a pe, m hp
p , z
c
s s s s s s s s s
9 = $" + !"B"
Z
9d
)d
t$" = >? )x $" Z$"
!"
!" ′
x
!"Y
=
9
− Z$" B"
%, i W x
%′ = >FZ !"′
>FZ !"Y = >F !"
!"YY
=
!" Z
$"′′ = 9 − !"′′B"
[YY = \]′′ = ^ − _]′′`] \]′ abcd[
!. = !H +
−
o/*/u¢/ o.*.u¢.
!/
!
!/
=
B/
π$/ + jπk/h
⟹
!/
=
B/ π
$/ ! + jk/h
B/
+
B/
1
− π
π
=
B/! π
B/
.ΩEb
E
!
ED ’
1 !/′ = uæ !/,
uæ
=
o. *. u¢. ! o/*/u¢/
EB ’
$/Y
=
u? $/ ,7777777u?
%
%!
ô
′
Gö ô=
2&
!
—
— &×360° —
!
ú
“
ã
ep )
ô = i. 2&
— 360N —
h
— &×
—
ú=
i.
ô =
2&o o
&×360N ã=
i. )
h ta —
b
h
aΩ
%! a Ω
c
h
h
t&
(
%
&
!Ω
t
)a
%! a
h
bc h
ht
t
p>
%
t
120° %E c
!a tΩ
3C> B %%
%h
Ω Ω
Ω
i
—
L = &). 60
ù = 2ôL
$H = GLl. $û = 2.22Ll. $ü = 2.22Ll. ó = ã(ô − †)
$ü = 2$û.uü
uü
=
2$û. cos 2$û.
ó 2
=
cos
ó 2
$° = ú$üu°
u°
=
$° ú$ü
=
sin
úã 2
ú
sin
ã 2
u¢ = u°uü
! = !" = !# ! = !" − !#
i
! = !" + !# ! = !" + !# $" = >? )
“ %%
%
&* >? = 60(
9 = −!"B" + $" − 2∆DE 9 = !"B" + $" + 2∆DE
i
i
i
) %! ! !
!
)!
○ ○&H ○&I? ○&#
○&"! &J ○&"
πH = ±
B/Y
!
B./ + k.h + k/h′ /
1
%H"«
=∙ Ω2
B. +
39./
!
B./ + k.h + k/h′ /
3C> B %
%
“
“
“
)
SN
PN
UN
IN
cos m8
fN
nN
$K = 4.44L*Φ#u¢!
) = 60L = 3000!
&
&
“
3C> B %
% ah —
%! a
Ia E0 ° Fa e
!" !#
!
$" %
&
Φ
(
)
*
Ω
—
,&. &/ ∑&
3C> B %
%!
Φ
%! Ω
a=p
2)! Ω
a=1 7
!
%!
,8
!
98
!
!8
!
)8
)!
9#8
,8 = 98 ∙ !8 ,8 = %8 ∙ P ,8 = 98 ∙ !8 ∙ ;8 = ,. ∙ ;8
3C> B
%
i
d
“
! = !" ! = !" − !#
!.8T
ë.8
=
Qíìî ïíìî
p8 = o9.8T!.8T
9.∗
=
9. 9.8T
!.∗
=
!. !.8T
B.∗
+
jk.∗h
=
9.8T !.8T
B.
+
j 9.8T !.8T
k.h
○
&K∗
=
&K p8
=
&K o9.8T!.8T
!
3C> B
%a Ω
○ “
ó/&q8 = &I?
; = ,/ ,/ +
&
=
F0F%
0%
. .%
.
3! %!
!
“
i i
i i
b“ i “
“ 9. = −$. + !.i.h = −$. + !. B + jk.h !
“ $/E = !/i/hE!
L/
=
&(). − 60
))
=
). − ).
)百度文库
∙
&). 60
=
πL.!
$/E = 4.44L/*/Φ.u¢/ = 4.44πL.*.Φ.u¢/! E /%
=
*. u. ! */u/
EM ’
B/Y = uøB/,777777k/Yh = uøk/h,7777777uø = uæu?!
z !
$/′!/′
=
o/ o.
$.!.!
“
$/ = !/
B/ π
+
jk/h
!
$/′ = !/′
B/ π
+
jk/h
!
t
c
!H = !. + !/′!
iH = BH + jkH!
“
1 %= ∙
Ω
B.
+
B/Y π
39./
B/Y π
/
!
+ k.h + k/h′ /
T f(s)
c
15
10
5
0
-5
-10
-15
-20
-25
-30
-6
-4
-2
0
2
4
6
s
i
n=0 s=1
Sm⟶0 c Φ
T<TST
v-
=
%H"« ! %8
8 !’
s=f(P2) T2=f(P2) I1=f(P2) ;=f(P2) !
m. = !., 9. “
^å = −\å + _å`å + _åçå
^éU
+
U
_é`é
+
U
è_éçé
=
\éU
_å + _é = _ê
)!
s
<
。dt
s
—
∆9 = 9/K − 9/ ×100% = 9/8 − 9/ ×100% = 9.8 − 9/′ ×100%
9/8
9/8
9.8
!
d
Ω°
e
Ω°
Ω°
9.8T
n = 0N
Ff
Ff
°w
bd
Fa
Ia t E0 — n = 90N
Fa e
Ff %
Ia t E0 — n = −90N
○&J
○&∆ “
% = >F !" &*
>F = 2G(
&# = 9#!# = !#/B# &" = !"/B" &J = 2∆DE!"
,- = %P = >F !"P = 9"!"
“ ,. = ,/ + &
i & = &H + &I? + &# + &" + &J + &∆ ,/ = 9!
; = ,/ = ,. −