CIRCUITOS POLIFÁSICOS MONOFÁSICO: BIFÁSICO

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```CIRCUITOS POLIF&Aacute;SICOS
MONOF&Aacute;SICO:
Za = 4.193 ∠ 24.5&ordm; Ω
vA = 179.6 Cos(377 t ) v , Ra = 3.814 Ω , La = 4.627 mH
VA = 127 ∠ 0 v
I(A) = 30.282 ∠ - 24.5&ordm; A ; iA = 42.82 Cos(377 t – 24.5&ordm;) A
V(Ra) = 115.49 ∠ - 24.5&ordm; v ; vRa = 163.3 Cos(377 t – 24.5&ordm;) v
V(La) = 52.82 ∠ 65.42&ordm; v ; vLa = 74.7 Cos(377 t + 65.4&ordm;) v
SA = 3845.5 ∠ 24.5&ordm; VA = 3499.3 w , 1594.7 VARL , FP = 0.9
IA
BIF&Aacute;SICO - DOS CIRCUITOS MONOF&Aacute;SICOS:
vA = 179.6 Cos(377 t ) v
y
vB = 179.6 Cos(377 t + 120&ordm;) v
Za = Zb = 4.193 ∠ 24.5&ordm; Ω
IA
IB
0A
VA = 127 ∠ 0 v ;
I(A) = 30.28 ∠- 24.5&ordm; A ; iA = 42.82 Cos(377 t – 24.5&ordm;) A ,
V(Ra) = 115.49 ∠ - 24.5&ordm; v ; vRa = 163.3 Cos(377 t – 24.5&ordm;) v
V(La) = 52.82 ∠ 65.4&ordm; v ; vLa = 74.7 Cos(377 t + 65.4&ordm;) v
SA = 3845.5 ∠ 24.5&ordm; VA = 3499.3 w , 1594.7 VARL , FP = 0.9
VB = 127 ∠ 120 v
I(B) = 30.28 ∠ 95.5&ordm; A ; iB = 42.82 Cos(377 t + 95.5&ordm;) A
V(Rb) = 115.49 ∠ 95.5&ordm; v ; vRb = 163.3 Cos(377 t + 95.5&ordm;) v
V(Lb) = 52.82 ∠ - 174.5&ordm; v ; vLb = 74.7 Cos(377 t – 174.5&ordm;) v
SB = 3845.5 ∠ 24.5&ordm; VA = 3499.3 w , 1594.7 VARL , FP = 0.9
STotal = 7691 ∠ 24.5&ordm; VA = 6998.6 w , 3189.4 VARL , FP = 0.9
OTRA PRESENTACION DEL CIRCUITO BIF&Aacute;SICO
IA
0A
IN
IN = IRa + IRb
IN = 30.282 ∠ 35.4&ordm; A
iN = 42.82 Cos(377 t + 35.4&ordm;) v
IB
26/10/2009
P&aacute;gina 1 de 3
Profesor: Luis Rodolfo D&aacute;vila M&aacute;rquez
C&Oacute;DIGO: 00076 UFPS
TRIF&Aacute;SICO - TRES CIRCUITOS MONOF&Aacute;SICOS:
vA = 179.6 Cos(377 t ) v , vB = 179.6 Cos(377 t + 120&ordm;) v , vC = 179.6 Cos(377 t - 120&ordm;) v
Za = Zb = Zc = 4.193 ∠ 24.5&ordm; Ω
IA
IB
IC
0A
0A
VA = 127 ∠ 0&ordm; v
VB = 127 ∠ 120&ordm; v
I(A) = 30.282 ∠ - 24.5&ordm; A
I(B) = 30.28 ∠ 95.5&ordm; A
iA = 42.82 Cos(377 t – 24.5&ordm;) A
iB = 42.82 Cos(377 t + 95.4&ordm;) A
V(Ra) = 115.49 ∠ - 24.5&ordm; v
V(Rb) = 115.49 ∠ 95.5&ordm; v
vRa = 163.3 Cos(377 t – 24.5&ordm;) v
vRb = 163.3 Cos(377 t + 95.4&ordm;) v
V(La) = 52.82 ∠ 65.42&ordm; v
V(Lb) = 52.82 ∠ - 174.5&ordm; v
vLa = 74.7 Cos(377 t + 65.4&ordm;) v
vLb = 74.7 Cos(377 t – 174.5&ordm;) v
SA = 3845.5 ∠ 24.5&ordm; VA = 3499.3 w , 1594.7 VARL , FP = 0.9
SB = 3845.5 ∠ 24.5&ordm; VA = 3499.3 w , 1594.7 VARL , FP = 0.9
SB = 3845.5 ∠ 24.5&ordm; VA = 3499.3 w , 1594.7 VARL , FP = 0.9
STotal = 11536.5 ∠ 24.5&ordm; VA = 10497.9 w , 4782.9 VARL , FP = 0.9
VC = 127 ∠ - 120&ordm; v
I(C) = 30.282 ∠ -144.5&ordm; A
iC = 42.82 Cos(377 t – 144.5&ordm;) A
V(Rc) = 115.49 ∠ -144.5&ordm; v
vRc = 163.3 Cos(377 t – 144.5&ordm;) v
V(Lc) = 52.82 ∠ -54.5&ordm; v
vLc = 74.7 Cos(377 t – 54.5&ordm;) v
OTRA PRESENTACION DEL CIRCUITO TRIF&Aacute;SICO
IA
IB
Ic
0A
0A
26/10/2009
P&aacute;gina 2 de 3
Profesor: Luis Rodolfo D&aacute;vila M&aacute;rquez
C&Oacute;DIGO: 00076 UFPS
OTRA PRESENTACION DEL CIRCUITO TRIF&Aacute;SICO
SISTEMA TRIF&Aacute;SICO BALANCEADO (ESTRELLA – ESTRELLA)
IA
V(B,A)
VA
IN
IB
V(A,C)
V(C,B)
VB
IC
VC
Los resultados son id&eacute;nticos a los obtenidos en el esquema inmediatamente anterior, adicionalmente, la corriente
por el neutro es igual a cero por que el sistema est&aacute; balanceado.
IN = IAa + IBb + ICc = 30.282 ∠ - 24.5&ordm; A + 30.282 ∠ 95.42&ordm; A + 30.282 ∠ -144.5&ordm; A = 0 A
VOLTAJES DE FASE:
vA = 179.6 Cos(377 t ) v , vB = 179.6 Cos(377 t + 120&ordm;) v , vC = 179.6 Cos(377 t - 120&ordm;) v
VOLTAJES DE L&Iacute;NEA:
VBA = 220 ∠ 150&ordm;
VCB = 220 ∠ - 90&ordm;
VAC = 220 ∠ 30&ordm;
vBA = 311 Cos(377 t + 150&ordm;) v , vCB = 311 Cos(377 t - 90&ordm;) v , vAC = 311 Cos(377 t + 30&ordm;) v
CORRIENTES DE FASE = CORRIENTES DE L&Iacute;NEA:
iB = 42.82 Cos(377 t + 95.4&ordm;) A
iC = 42.82 Cos(377 t – 144.5&ordm;) A
iA = 42.82 Cos(377 t – 24.5&ordm;) A
SISTEMA TRIF&Aacute;SICO BALANCEADO (DELTA – ESTRELLA)
El sistema trif&aacute;sico balanceado de voltajes de l&iacute;nea se puede obtener con tres fuentes de igual magnitud al