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Tema IV: Transformadores

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4.4 Principio de<br />

funcionamiento (vacío)<br />

Transformador<br />

en vacío<br />

U 1 (t) 1 (t)<br />

R devanados=0<br />

1<br />

U<br />

1<br />

U1 1 ef =<br />

ef = E<br />

1<br />

ef = ef = ⋅<br />

2<br />

π f<br />

⋅<br />

N<br />

1 ⋅ 1 ⋅φ<br />

φ m = m = 4<br />

,<br />

44<br />

⋅<br />

f<br />

⋅<br />

N<br />

1 ⋅ 1 ⋅φ<br />

φ<br />

2<br />

Fem<br />

eficaz<br />

E = 4,<br />

, 44 ⋅<br />

f<br />

⋅<br />

N<br />

1 ⋅ 1 ⋅S<br />

S ⋅<br />

B<br />

1<br />

ef<br />

La tensión aplicada<br />

determina el flujo<br />

máximo de la máquina<br />

φ (t)<br />

I 0 (t) 0 (t)<br />

I 2 (t)=0 2 (t)=0<br />

e 1 (t) 1 (t)<br />

e 2 (t) 2 (t)<br />

4 44<br />

m<br />

r<br />

t<br />

E<br />

=<br />

E<br />

1<br />

ef<br />

2<br />

ef<br />

m<br />

N<br />

=<br />

N<br />

1<br />

2<br />

U 1<br />

m<br />

m<br />

U<br />

≅<br />

U<br />

φ ( t<br />

)<br />

=<br />

φ<br />

m ⋅ m ⋅Sen<br />

Sen ω<br />

t<br />

(<br />

t<br />

)<br />

= U<br />

m ⋅<br />

Cos<br />

ω t<br />

=<br />

N<br />

1 ⋅ 1 ⋅φ<br />

φ ⋅<br />

ω<br />

⋅<br />

Cos<br />

ω<br />

t<br />

1<br />

ef<br />

2<br />

(<br />

vacío<br />

)<br />

LTK primario:<br />

U = N<br />

⋅<br />

2<br />

π f<br />

⋅<br />

φ<br />

m<br />

1<br />

e<br />

2<br />

U<br />

(<br />

t<br />

)<br />

+ e<br />

(<br />

t<br />

)<br />

=<br />

0<br />

Ley de Lenz: Lenz<br />

d<br />

φ<br />

(<br />

t<br />

)<br />

U<br />

1(<br />

1(<br />

t<br />

)<br />

= −<br />

e<br />

1(<br />

1(<br />

t<br />

)<br />

=<br />

N<br />

1 ⋅ 1 ⋅<br />

U 2 (t)<br />

dt<br />

2 (t)<br />

dt<br />

Tensión<br />

eficaz<br />

El flujo es<br />

senoidal<br />

Repitiendo el proceso<br />

para el secundario<br />

2<br />

ef<br />

1<br />

m<br />

1<br />

Tensión<br />

máxima<br />

d<br />

φ<br />

(<br />

t<br />

)<br />

(<br />

t<br />

)<br />

= −<br />

N<br />

2 ⋅ 2 ⋅<br />

dt<br />

E = 4,<br />

, 44 ⋅<br />

f<br />

⋅<br />

N<br />

2 ⋅ 2 ⋅S<br />

S ⋅<br />

B<br />

4 44<br />

m

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