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GNE114 - Nota de Aula 04.1

GNE114 - Nota de Aula 04.1

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Potência<br />

p = v . i v = Vm . sen (w.t + θ )<br />

i = Im . sen (w.t )<br />

p = Vm . Im . sen ( w.t + θ ) . sen ( w.t )<br />

p =<br />

p =<br />

vm.<br />

im<br />

2<br />

v<br />

m m I<br />

2<br />

( cosθ - cos ( 2wt + θ )<br />

2<br />

1<br />

senA . senB = (cos (A – B ) – cos (A + B ))<br />

2<br />

( cosθ - cos ( 2wt + θ )<br />

p = V.I.cosθ - V.I.cos ( 2wt + θ )<br />

potência média<br />

potência instantânea<br />

P = V.I.cosθ potência ativa (w )<br />

Q = V.I.senθ potência reativa (VAr )<br />

cos ( x + y ) = cosx . cosy – senx . seny<br />

cos (2.w.t + θ ) = cos2wt . cosθ - sen2wt . senθ<br />

V.I . (cosθ - cos2wt . cosθ - sen2wt . senθ )<br />

V.I . ( cosθ ( 1 – cos2wt ) - senθ . sen2wt )<br />

p/<br />

P = V.I.cosθ<br />

e <strong>de</strong>finido<br />

∆<br />

Q = V.I.senθ<br />

pa ( t ) = P (1 – cos2.w.t ) – Q.sen2.w.t<br />

sen2wt =<br />

S<br />

θ<br />

P<br />

− j(<br />

e<br />

− e<br />

2<br />

Q<br />

j2<br />

wt − j 2wt<br />

)

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