資料 - 九州工業大学

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1
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• 
• 
• 
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B:
(T)
L: #(m)
D:$(m)
n:(rps: rotation per second)
–  %!N=60n (rpm: rotation per minute)
•  !"v (m/s)
e = vBL (V)
•  v=πDn
e = πDnBL (V)
2.9
2
• 
• 
• 
• 
():p
1:Φ
:pΦ
÷
pΦ
B=
πDL
•  pΦ
e = πDn
L = npΦ (V)
πDL
2.9
3
;*<D&
•  /:m
•  1+/:w (ω
5.E
•  802$"* /F2mw=Z
–  2-AB#
•  %'=/:a
•  9)C
76;*<D&:Ea
Ze ZpΦn
Ea =
=
(V) a
a
•  :?,:ω (rad/s)ω=2πn
ZpΦω
Ea =
= KΦω (V)
2πa
80'>/3!
1@
4
Zp
K=
2πa
(2.9
4
• 
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B:.*"%(T)
L:2(3(m)
D:4+!-&(m)
m:'
W:1$'
Ia:/!,
4,(A)
a:1'
#0)
Ia
F = BL (N)
a
5
2.10
•  Ia
F = BL (N)
a
•  p, !Φ
r
F
pΦ
B=
πDL
Ia pΦ
pΦIa
F=
L=
(N)
a πDL
πDa
•  "Z=2mw
D
•  =×
T = ZF
2
6
2.10
D
T = ZF
2
pΦIa
F=
πDa
pΦIa D Zp
T=Z
=
ΦIa
πDa 2 2πa
Zp
K=
2πa
T = KΦIa
•  =
)××
7
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•  ,#-1
– Ea=KΦω(V)
•  – T=KΦIa (Nm)
•  ,#-1 $K
•  +)*1'&/ –  "0!.*1'
•  '%1(
–  "01)!.
•  1('%
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Va,Ia
$nT
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9
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+.4
Vf = Rf I f
.#
Φ = kI f (Wb)
8$!4
Va = Ra Ia + E a
8$!5
1"38,*
78%(W)9
+.4'0:
Va Ia = R I + E a Ia
2
a a
E a = KΦω
Va Ia = R I + KΦωIa
T = KΦIa
Va Ia = R I + ωT
2
a a
2
a a
8$!4,((W)
562
(W)
•  #+
•  / %x(Nm)
m
v
dvθ
m
=F
dt
vθ = rω
*.m
"(!
F
r
ω)-$(rad/s)
dω
mr
=F
dt
,r
dω
mr
= Fr
dt
2
mr2: '&
Fr:
'&×)-$=
11
I
dω
I
=T
dt
"#!
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I = ∫ r 2 dm
1 2
1 2 2
1 2
v
dm
=
r
ω
dm
=
Iω
∫2 θ
∫2
2
1 2
Iω
2
$
d ⎛ 1 2⎞
dω
= Tω
⎜⎝ Iω ⎟⎠ = Iω
dt 2
dt
#
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4"
/
E a = Ra Ia + Va
4" (',!.4
243-*R
43
('4#
E a Ia = Ra Ia2 + Va Ia
E a = KΦω
T = KΦIa
E a Ia = KΦωIa = R I + Va Ia
E a Ia = ωT = R I + Va Ia
01
(W)
2
a a
2
a a
ωT = R I + Va Ia
2
a a
4"
-*4#
(W)
/(%(W)
T>30)F
•  J@>'K=GK
"*ST>3K=H
E
D9C:
•  +K)F
–  T?I'7QL.;@8/
–  PT-&2$;@3BRT1%<
•  (K=A5
•  O,6N4M
–  T>3)KG!#
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14
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•  !(rating)
–  "
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!,(rated voltage) Vn
!* (rated speed) Nn ,rpm
!,,#(n
&
17
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!! %
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