Uploaded by Unathi Maxaulane

Electrical Engineering Formulas: Electric Machines & Power Electronics

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Formulas
τ − τload = J
dω
dt
k
k
j=1
j=1
Ni = ∑ H j l j = φ ∑ R j
B = µH
R=
φ = BA
ℓ
µ0 µr A
µ0 = 4π × 10−7 H/m
eind = (v × B) · l
EA = Kφ ωm
τind = Kφ IA
VL,rated
V1φ ,base = √
3
V1φ ,base
Zbase =
I1φ ,base
E=
S3φ ,base
3
S1φ ,base
I1φ ,base =
V1φ ,base
τind = kBR × BS = kBR × Bnet
120 fe
P
4rlB
φ=
P
Vφ = EA ± IA ZS
Q = 3Vφ IA sin θ =
√
3VL IL sin θ
P=±
3Vφ EA
sin δ
Xs
Q=±
3Vφ2
3Vφ EA
cos δ ∓
Xs
Xs
fr = s fe
XM
VT H = Vφ q
R21 + (X1 + XM )2
XM
X1 + XM
ZT H = RT H + jXT H
jXM (R1 + jX1 )
=
R1 + j(X1 + XM )
2
XM
≈ R1
+ jX1
X1 + XM
S1φ ,base =
√
2πNC φ f
nm =
√
3VL IL cos θ
≈ Vφ
zp
K=
k2πa
S3φ ,base = S3φ ,rated
P = 3Vφ IA cos θ =
nm = (1 − s)nsync
dφ
e=N
dt
F = i(l × B)
Formules
R2
smax = q
R2T H + (XT H + X2 )2
τind =
3VT2H R2 /s
ωsync [(RT H + R2 /s)2 + (XT H + X2 )2 ]
p2
τ≈
160πR2
V = DVd ;
E1
fe
2
nslip
V = Vd (2D − 1)
Vd = 1.35VLL
VLL ≈ 0.612maVd
√
2 2 ∗
ma =
V
VS φ
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