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UES-FIA-EIE-AEL115 Ciclo I-2008

Chapter 12 Polyphase Circuits

Engineering Circuit Analysis Sixth Edition

W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin

Copyright 2002 McGraw-Hill, Inc. All Rights Reserved.

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Fig. 12.1 An example set of three voltages

Fig. 12.2 (a) The definition of the voltage Vab.

Fig. 12.3 A network used as a numerical example of

Fig. 12.7 (a) A single-phase three-wire source.

Fig. 12.8 A simple single-phase three-wire system.

Fig. 12.9 Circuit from Example 12.1.

Fig. 12.11 A Y-connected three-phase four-wire source.

Fig. 12.12 (a) Positive, or abc, phase sequence.

Fig. 12.14 A balanced three-phase system, connected Y-Y and

Fig. 12.18 A balanced -connected load is present on a three-wire..


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W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.

Copyright 2002 McGraw-Hill. All rights reserved.

(a) The definition of the

voltage Vab.

(b) Vad = Vab + Vbc+ Vcd= Vab + Vcd

Fasores de Potencial:


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4.2 Generacin monofsica:


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Figure7.50

4.2 a) Sistema monofsico bifilar (CAB)una fase (VAN) con variante a dos y tres hilos:

dos hilos(FA+N), tres hilos (FA+N+Gnd)


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(a)A single-phase three-wire source.(b)The representation of a single-phase three-wire

source by two identical voltage sources.

4.2 b) Sistema Monofsico Trifilar (CAT)una fase: VAN en fase con VNB: tres hilos (FA+FB+N)


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Diagrama fasorial de voltajes de un sistema

1 Trifilar:

1

1

12

AN

NB

AB AN NB

BN NB

V V

V V

V V V

V

V V


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4.2 c) Sistema monofsico tetrafilar" (CAT)una fase: VAN en fase con VNB: cuatro hilos (FA+FB+N+ Gnd)


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Analyze the system below and determine the

power delivered to each of the three loads as

well as the power lost in the neutral wire andeach of the two lines.




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Repita el ejercicio anterior para determinarlas corrientes de lnea (IA, IB), la corriente de

desbalance de retorno por el neutro (IN), las

corrientes de fase en la carga (Ian, Ibn, Iab), la

potencia (P, Q y S) absorbida en cada carga,

las prdidas en la lnea de transmisin (Aa,

Bb y Nn) y la potencia compleja suministrada

por la fuente monofsica trifilar, aplicando:

a) Anlisis de Nodos

b) Teorema de SuperposicinVerifique si la suma Pabs = suma Psum ???


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Figure

7.52

A typical residential wiring arrangement


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4.4 Generacin Trifsica (tres fases):


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Alternador o Generador Trifsico:


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An example set of three voltages |V1|=|V2|=|V3|, each of which

is 120o out of phase with the other two. As can be seen, only

one of the voltages will be zero at a particular instant.

Fuente Trifsica:tres fases: V1, V2 y V3 (FA+FB+FC)


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Positive, or abc,

phase sequence.

4.4 a) Secuencia de Fases (+):

0

0

0

120

120

0

fcn

fbn

fan

VV

VV

VV


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Negative, or cba,

phase sequence.

4.4 a) Secuencia de Fases (-):

0

0

0

120

120

0

fcn

fbn

fan

VV

VV

VV


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A network used as a numerical example of

double-subscript voltage notation.

4.4 b) Fuente trifsica en Estrella: 3 hilos:

0

0

0

120100120100

0100

cn

bn

an

VV

V


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A Y-connected three-phase four-wire source.

4.4 b) Fuente trifsica en Estrella: 4 hilos:

nacn

ancnCA

ncbn

cnbnBC

nban

bnanAB

VV

VVV

VV

VVV

VVVVV


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Figure7.43

4.4 c) Fuente trifsica en Delta: 3 hilos:


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A balanced three-phase system, connected

Y-Y and including a neutral.

4.6 a) Sistema Estrella-Estrella: 4 hilos:


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Figure

7.42

Balanced three-phase AC circuit (redrawn) Y-Y


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A balanced

-connected load is present on athree-wire three-phase system. The source

happens to be Y-connected.

4.6 b) Sistema Estrella-Delta 3 hilos:


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Figure

7.46

Balanced wye generators with balanced delta load


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Figure7.58

Structure of an AC power distribution network


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Diagramas fasoriales de otros sistemas

polifsicos:

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