Ejercicio Resuelto Transformador Trifasico

Datos: Uf2 := 100V P2 := 200kW φ a := 0 φ b := −acos( 0.8) φ b = −0.644 3 UL1 := 11kV Ufl := 11⋅ 10 V Parámetros

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Datos: Uf2 := 100V

P2 := 200kW

φ a := 0

φ b := −acos( 0.8) φ b = −0.644

3

UL1 := 11kV

Ufl := 11⋅ 10 V

Parámetros iniciales:

Sa :=

Sb :=

P2

5

Sa = 2 × 10 VA

( )

cos φ a P2

5

Sb = 2.5 × 10 VA

( )

cos φ b

Item a) Ua := Uf2⋅ j

Ua = 100j V

Ub := Uf2

Ub = 100 V

Ia :=

Sa⋅ e

( φ a⋅ j ) 3

Ia = 2j × 10 A

−Ua 3

Ia = 2 × 10 A IA := Ia⋅

Uf2⋅ 2 Ufl⋅ 3

IA = 20.995 A

( )

arg Ia ⋅ λ = 90 IA = 20.995j A

( )

arg Ia ⋅ λ = 90

λ :=

180 π

Ib :=

Sb ⋅ e

( φ b⋅ j ) 3

3

Ib = 2.5 × 10 A

Ib ⋅ Uf2 IA IB := + 2 Ufl IB = 30.216 A

IC :=

−IA 2

3

Ib = −2 × 10 + 1.5j × 10 A

−Ub

( )

arg Ib ⋅ λ = 143.13

IB = −18.182 + 24.134j A

( )

arg IB ⋅ λ = 126.994

Uf2 + Ib ⋅ Ufl

IC = 18.451 A

IC = −18.182 + 3.139j A

( )

arg IC ⋅ λ = 170.204