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MÁXIMA TRANSFERENCIA DE POTENCIA

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by

vanessa D

on 5 May 2014

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Transcript of MÁXIMA TRANSFERENCIA DE POTENCIA

TEOREMA:
Una fuente de tensión independiente en serie con una impedancia Zth o en una fuente de corriente independiente en paralelo con una impedancia Zth entrega una potencia promedio máxima a una impedancia de carga ZL si ZL=Zth*.
Para comprobar el teorema
Derivar la ecuación con respecto a XL
RL = Rth

XL = -Xth
TEOREMA DE MÁXIMA TRANSFERENCIA DE POTENCIA
I = Vth
Zth + Zl
P=
1
2
I RL =
2
Vth RL 2
2
(Rth + RL) + (Xth + XL)
2
2
dP
dXL
= 0 XL = -Xth
Derivar con respecto a RL
dP
dRL
= 0 RL = Rth + (Xth + XL)
2
2
ZL = Zth*
Adaptación conjugada
Potencia máxima
Pmáx = Vth
4 Rh
2
Se comienza calculando el equivalente de Thevenin del circuito fuente
Ejemplo
Zth= 4||(8-j6)+j5 = 2.93 + j4.4 Ω
Tensión de Thevenin
(8-j6)
4 + 8-j6
Vth=
x10
=7.4 – j1.33
Pmax =
|Vth|2
4Rth
(7.4)2
=
(4x2.9)
=
4.72 W
Full transcript