Índice General - Index of - Universidad de Sevilla

Anexo B Impedancia equivalente por conductor en lazos pasivos dobles con conductor común
Desarrollando (B.5) Y (B.6):
11
1
12
2
13
3
Δ V = ΔV
(B.5)
1
2
2
Δ V = ΔV
(B.6)
1
12
1
3
Z I + Z I + Z I −V
= Z I + Z I + Z I −V
(B.7)
Z I + Z I + Z I −V
= Z I + Z I + Z I −V
(B.8)
33
3
23
2
13
1
Las relaciones entre intensidades de conductor y de lazo son:
3
12
1 l , 1
1
22
22
2
2
23
23
3
I = I
(B.9)
I = I
(B.10)
3 l,
2
I = −I
− I
(B.11)
2 l,
1 l,
2
Sustituyendo (B.8), (B.9) y (B.10) en (B.6) y (B.7):
( Il
, 1 + I l,
2 ) + Z13I
l,
2 −V1
= Z12I
l , 1 − Z22
( Il
, 1 + I l,
2 ) + Z 23I
2 −V2
Z11I l,
1 Z12
l
− ,
( Il
, 1 + I l,
2 ) + Z13I
l,
1 −V3
= Z12I
l,
1 − Z22(
I l,
1 + Il
, 2 ) + Z23I
2 −V2
Z33I l,
1 Z 23
l
− ,
( Z11 + Z 22 − 2 Z12
) · Il
, 1 + ( Z13
− Z23
− Z12
+ Z22
) · I l,
2 = V1
−V2
3
2
2
(B.12)
(B.13)
· (B.14)
( Z33 + Z22
− 2 Z23
) · I l,
2 + ( Z13
− Z23
− Z12
+ Z22
) · Il
, 1 = V3
− V2
· (B.15)
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