TESTEVACA 1711644863694 1-2 pdf

1) a) Alta tensao: Zb = \frac{V^2}{S} = \frac{(23K)^2}{250M} \quad \boxed{Zb = 2,116 \ \Omega} R = R'\cdot Zb = 0,025 \cdot 2,116 \qquad \boxed{R = 0,0529 \ \Omega} X = X'\cdot Zb = 0,05 \cdot 2,116 \qquad \boxed{X = 0,1058 \ \Omega} Baixa tensao: \ Zb = \frac{(13,8K)^2}{250M} \quad \boxed{Zb = 0,76176} R = 0,025 \cdot 0,76176 \qquad \boxed{R = 0,019044 \ \Omega} X = 0,05 \cdot 0,76176 \qquad \boxed{X = 0,038088 \ \Omega} b) \quad Zb = \frac{(23K)^2}{800M} \quad \boxed{Zb = 0,88167} R = R'y \cdot Zb \rightarrow R'y = \frac{R}{Zb} = \frac{0,0529}{0,88167} \quad \approx \boxed{5,99997} \; \Omega X'y = \frac{X}{Zb} = \frac{0,1058}{0,88167} \quad \boxed{X'_{pu} = 0,11999 \; pu} \nR'_{pu} = 0,05999 \; pu 2) \quad \ Sb = 30 \ MVA Vb = 138 \ KV Zb = \frac{Vb^2}{Sb} = 190,44 Z_{\Delta 1} = \frac{1,6 + j4,5}{190,44} \cdot \left(\frac{138K}{23K}\right)^2 \quad Z_{\Delta 1} = 0,03802 + j0,085 \boxed{Z_{\Delta 1} = 0,02 + j0,045} Z_{\Delta 2} = \frac{200 + j700}{190,44} \quad \boxed{Z_{\Delta 2} = 0,105 + j0,3675} P = S\cdot fp = 2M \cdot 0,85 \quad \boxed{P = 1,7 \ MVA} Q = \frac{P}{fp} = 1,0535 \ MVA Zc^* = \frac{V^2}{S} = \frac{(132K)^2}{1,7M + 1,0535M} \quad Zc = 7405,455 + j4589,204 \hat{Z}_{pu} = \frac{Zc}{Zb} = 3,8886 + j2,4097 \boxed{Z_{\Delta eq} = Z_{\Delta 1} + Z_{X1} + Z_{\Delta 2} + Zc} Z_{\Delta eq} = 4,0438 + j2,9072 \; pu Spu = \frac{1,7M + j1,0535}{10M} = 0,17 + j0,10535 Vpu = \frac{132K}{138K} = 0,9565 I^* = \frac{S}{V} = \frac{0,17 + j0,10535}{0,9565} \quad \boxed{I_{pu} = 0,1777 \angle j0,1101} V_G = Z_{eq}\cdot I = (4,0438 + j2,9072)(0,177 + j0,1101) V_G = 1,1938 + j0,83669 V_c = 26,7674 + j19,2487 \; KV S = VI^* \quad S = V_G - 0,3985 + \boxed{V_G = 1,038665 + j0,07138 \; pu} S = 0,1767 + j0,127 \; pu