Electric Machines Formulas
A handy guide for engineers
By Alessandro Guerrera
−1 1 2 1 2
ሺ ൯ = = = =
% ⋅ 100 ⋅ 100
1 2 1 2
1 1 1
= ≠ = =
0
20 2 2 = ⋅ 100 = ⋅
0% 0 0% 2
1n 1
= =
1 1 2 2 2 2
= = = +
1cc 1 2 2
2 2
′ ′′ 2 ′ ′ ′
= = ⋅ = − = cos 02 02
2 = = +
0 1 0
2
=
2 2
′ ′′ 2 ′ ′ ′ ′ 2
= = ⋅ = − = sin = tan cos
2 2
2
ത ത
− ҧ ҧ
′′ ′ 2
1 2 1 2
2 2
ҧ ′ ′ ′ ′ = /
′ ′ ′
= + = ⋅ = + = = = =
2
Τ
2 1 1 2
1 1 1
0,
0 02 02
= = = = − = − = cos
0 0 0
2 2 2
0 1
1 0 0
= 2
1 1 1 2
0 0, 02 02
= = = = − = − = sin
0 0 0 : −
2 2 2
0 1
1 0 0
Δ ≜ − ≠ Δ 0′
1 2 0 0 0′′
ത 02 02
=
= + = =
= − = ⋅ 0 0
0 0 0 0 2 2
1 1
′′ ′′ ′′ ′′
∙ + ∙ ∙ + ∙
∆ = ⋅ 100 ≅ ⋅ 100
% 2
∙
20 20 2
∙ ∙ + +
2 2 0 , 0, 0,
= = = = 1− =1− = = ≅ 0,5
12
+ +
0 ,
′′ 2
+ ∙ +
2
0 ҧ ′
: ℎ
Transformers in parallel (Transformers A&B) ҧ ′′
: ℎ
ത ത
ത ത
20 20
+ :
1 1
− ҧ ҧ
′′ ′′ 20
ത ത
′′
−
20 20
2 2
ҧ = = = = ത ത ത ത
′′ ′′
.0 + +
ҧ ҧ ҧ ҧ
′′ ′′ ′′
+
ҧ
= =
2 2
+ ҧ ҧ
2 2
• − =
Yy Single Phase Equivalent Circuit
1 1 1 •
∆−∆ =
= ≠ = = ൝Δ → = / 3
= =
20 2 2 •
→ =
3 ∆− = ⋅ 3
= 3 = 3 • −∆ =
1 1 2 2 3
2 2
′ ′′ 2 ′ ′ ′
= = ⋅ = − = cos
2
2
3
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Formulario Elettrotecnica
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Formulario trigonometrico
-
Formulario Macchine elettriche
-
Formulario Apparati elettrici/macchine elettriche