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maquinas de corriente alterna.pdf - Universidad Tecnológica de ...

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140 Capítulo 2. La máquina sincrónica<br />

A pesar <strong>de</strong> que τ D1d es una constante <strong>de</strong> valor pequeña<br />

k 2<br />

k 2<br />

k 2<br />

( 1<br />

τ D1d<br />

) 2<br />

≪ ω 2 .<br />

(<br />

ωE f 1 − τ )(<br />

1<br />

1 − τ )<br />

D1<br />

τ<br />

= −<br />

D1d τ<br />

(<br />

D1d<br />

L d − 1 )(<br />

− τ ) ,<br />

1d<br />

ω<br />

τ D1d τ 2 D1d<br />

= − E f<br />

(−τ D1d )<br />

χ d<br />

= E f<br />

τ D1d<br />

χ d<br />

(<br />

χd<br />

χ ′ d<br />

k 2 = τ D1d E f<br />

( 1<br />

χ ′ d<br />

− 1 χ ′′<br />

d<br />

( )(<br />

τ1<br />

1 − τ )<br />

D1<br />

,<br />

τ 1d τ D1d<br />

)( )<br />

1 − χ′ d<br />

,<br />

)<br />

,<br />

χ ′′<br />

d<br />

( 1<br />

k 2 = −τ D1d E f<br />

χ ′′ − 1 )<br />

d<br />

χ ′ . (2.116)<br />

d<br />

k 3 = −<br />

ωE f (1 + τ 1 s)(1 + τ D1 s)<br />

k 3 = −<br />

(<br />

sL d (1 + τ 1d s)(1 + τ D1d s) s + ωR )<br />

,<br />

x<br />

χ ′′ + jω<br />

∣ ωR x<br />

h s = − + jω<br />

( )( 1 1<br />

ωE f τ 1 τ D1 + s<br />

τ 1<br />

( )( 1 1<br />

sL d τ 1d τ D1d + s + s<br />

τ 1d τ D1d<br />

)<br />

+ s<br />

τ<br />

)( D1<br />

s + ωR x<br />

χ ′′ h<br />

χ ′′ h<br />

)<br />

.<br />

+ jω<br />

∣ ωR x s = −<br />

χ ′′ + jω<br />

h<br />

De nuevo se <strong>de</strong>sprecian las resistencias y se toman las fracciones<br />

muy pequeñas respecto a ω.<br />

1<br />

τ 1<br />

,<br />

1<br />

τ D1<br />

,<br />

1<br />

τ 1d<br />

,<br />

1<br />

τ D1d<br />

,

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