2020_ATIVIDADE 1_ANDRY GABRIELE_resolvido
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2020_ATIVIDADE 1_ANDRY GABRIELE_resolvido


DisciplinaProteção e Estabilidade dos Sistemas Elétricos6 materiais50 seguidores
Pré-visualização1 página
Lista 1: - Andry Gabrielle 
1) 
\ud835\udc49\ud835\udc34 = 
\ud835\udc49\ud835\udc34
\ud835\udc49\ud835\udc35
\ud835\udc49\ud835\udc36
= [ 
120\u22200°
380\u2220 \u2212 90°
380\u222090°
] (\ud835\udc49) 
 
 
\ud835\udc49\ud835\udc4e0
\ud835\udc49\ud835\udc4e1
\ud835\udc49\ud835\udc4e2
=
1
3
\u2217 [ 
1 1 1
1 \u221d \u221d ²
1 \u221d ² \u221d
] \u2217 [ 
120\u22200°
380\u2220 \u2212 90°
380\u222090°
] 
 
\ud835\udc49\ud835\udc4e0 = 40 \ud835\udc49 
\ud835\udc49\ud835\udc4e1 = 259,39 \ud835\udc49 
\ud835\udc49\ud835\udc4e2 = 178,39 \ud835\udc49 
 
OU: 
 
\ud835\udc49\ud835\udc340 =
1
3
\u2217 (\ud835\udc49\ud835\udc34 + \ud835\udc49\ud835\udc35 + \ud835\udc49\ud835\udc36) =
1
3
\u2217 (120 + 380\u2220-90° + 380<90°) = 40 V 
\ud835\udc49\ud835\udc341 =
1
3
\u2217 (\ud835\udc49\ud835\udc34+\u221d \ud835\udc49\ud835\udc35+\u221d ²\ud835\udc49\ud835\udc36) =
1
3
\u2217 (120 + (1\u2220-120°)*(380\u2220-90°) +(1\u2220-120°)*(380\u2220-90°) ) = 259,39 V 
\ud835\udc49\ud835\udc342 =
1
3
\u2217 (\ud835\udc49\ud835\udc34 +\u221d2 \ud835\udc49\ud835\udc35+\u221d \ud835\udc49\ud835\udc36) =
1
3
\u2217 (120 + (1\u2220120°)*(380\u2220-90°) +(1\u2220-120°)*(380\u2220-90°) ) = 179,39 V 
 
2) 
 
\ud835\udc3c0
\ud835\udc3c1
\ud835\udc3c2
= [ 
3,61\u2220146,31°
13,11\u222026,80°
4,12\u2220 \u2217 71,61°
] (\ud835\udc34) 
 
 
\ud835\udc3c0
\ud835\udc3c1
\ud835\udc3c2
= [ 
1 1 1
1 \u221d \u221d ²
1 \u221d ² \u221d
] \u2217 [ 
3,61\u2220146,31°
13,11\u222026,80°
4,12\u2220 \u2217 71,61°
] 
\ud835\udc3c0 = 10 \ud835\udc34 
\ud835\udc3c1 = 12,05\u2220 \u2212 94,76°\ud835\udc34 
\ud835\udc3c2 = 18,98\u2220161,56° \ud835\udc34 
 
\ud835\udc3c0 = \ud835\udc3c0+ \ud835\udc3c1 + \ud835\udc3c2 = (3,61\u2220 \u2212 146,31°) + (13,11\u222026,80°) + (4,12\u2220 \u2212 71,61°) = 10 \ud835\udc34 
\ud835\udc3c0 = \ud835\udc3c0+ \u221d ²\ud835\udc3c1 + \u221d \ud835\udc3c2 = (3,61\u2220146,31°) + ((1\u2220 \u2212 120°) \u2217 (13,11\u222026,80°)) + ((1\u2220120°) \u2217 (4,12\u2220 \u2212 71,61°)) = 12,05\u2220 \u2212 94,76°\ud835\udc34 
\ud835\udc3c0 = \ud835\udc3c0+ \u221d \ud835\udc3c1 + \u221d ²\ud835\udc3c2 = (3,61\u2220146,31°) + ((1\u2220120°) \u2217 (13,11\u222026,80°)) + ((1\u2220 \u2212 120°) \u2217 (4,12\u2220 \u2212 71,61°)) = 18,98\u2220161,56° \ud835\udc34 
 
3) V- F-F-F-F