Questão 2638897

2638897 Ano: 2018
Disciplina: Engenharia Elétrica
Banca: FEPESE
Orgão: CELESC

Provas:

Engenheiro - Produção Elétrica
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Sistemas Elétricos de Potência

Considere o sistema de potência simplificado representado abaixo, com cinco barras e quatro linhas de transmissão. Há geradores conectados às barras 1 e 2, cargas às barras 3 e 4 e a barra 5 é infinita.

Fonte: Adaptado de KIRTLEY JR, J.L. Introduction to Load Flow. 2003. Disponível em: https://ocw.mit.edu/ courses/electrical-engineering-andcomputer- science/6-061-introductionto- electric-power-systems-spring-2011/ readings/MIT6_061S11_ch5.pdf. Acesso em 13 jan 2018.

Assumindo que as impedâncias das linhas 1, 2, 3 e 4 por unidade são Z₁ = 0,05 + j0,1; Z₂ = 0,05 + j0,05; Z3 = 0,15 + j0,2 e Z₄ = 0,04 + j0,12, respectivamente, a matriz que representa a admitância de barra para efeito dos estudos de fluxo de potência do sistema em questão é:

!$ { \begin{bmatrix} 1\,\,\,0\,\,\,0\,\,\,0\\0\,\,\,0\,\,\,0\,\,\,1\\-1\,\,\,1\,\,\,1\,\,\,0\\0\,\,\,0\,\,\,-1\,\,\,-1\\\,\,\,0\,\,\,-1\,\,\,0\,\,\,0 \end{bmatrix}} !$

!$ { \begin{bmatrix} 4-j18\,\,\,\,\,0\,\,\,\,\,0\,\,\,\,\,0\\\,\,0\,\,\,\,\,10-j10\,\,\,\,\,0\,\,\,\,\,0\\\,\,\,0\,\,\,\,\,0\,\,\,\,\,2,4-j3,2\,\,\,\,\,0\\0\,\,\,\,\,0\,\,\,0\,\,\,2,5-j7,5 \end{bmatrix}} !$

!$ { \begin{bmatrix} 0,05+j0,1\,\,\,\,\,\,0\,\,\,\,\,\,\,0\,\,\,\,\,\,\,0\\\,\,\,\,0\,\,\,\,\,\,\,0,05+j0,05\,\,\,\,\,\,\,0\,\,\,\,\,\,0\\0\,\,\,\,0\,\,\,\,\,\,0\,\,\,\,\,\,0,04+j0,12 \end{bmatrix}} !$

!$ { \begin{bmatrix} 4-j8\,\,\,\,\,\,0\,\,\,\,\,\,-4+j8\,\,\,\,\,\,0\,\,\,\,\,\,0\,\,\,0\,\,\,\,\,\,2,5-j7,5\,\,\,\,\,\,0\,\,\,\,\,\,-2,5+j7,5\,\,\,\,\,\,0\\-4+j8\,\,\,\,\,\,0\,\,\,\,\,\,16,4-j21,2\,\,\,\,\,\,\,-2,4+j3,2\,\,\,\,\,\,-10+j10\\\,\,\,0\,\,\,\,\,\,-2,5+j7,5\,\,\,\,\,\,-2,4+j3,2\,\,\,\,\,\,4,9-j10,7\,\,\,\,\,\,\,0\\\,\,\,0\,\,\,\,\,\,0\,\,\,\,\,\,\,0\,\,\,\,\,\,-10+j10\,\,\,\,\,\,0\,\,\,\,\,\,10-j10\\\,\,\,0\,\,\,\,\,\,0\,\,\,\,\,\,-10+j10\,\,\,\,\,\,0\,\,\,\,\,\,10-j10\end{bmatrix}} !$

!$ { \begin{bmatrix} 0,05+j0,1\,\,\,\,\,\,0\,\,\,\,\,\,-0,05-j0,1\,\,\,\,\,\,0\,\,\,\,\,\,0\\\,\,\,0\,\,\,\,\,\,0,04+j0,12\,\,\,\,\,\,0\\-0,05-j0,1\,\,\,\,\,\,0\,\,\,\,\,\,0,25+j0,35\,\,\,\,\,\,-0,15-j0,2\,\,\,\,\,\,-0,05-j0,05\\\,\,\,0\,\,\,\,\,\,-0,04-j0,12\,\,\,\,\,\,-0,04-j0,12\,\,\,\,\,\,-0,15-j0,2\,\,\,\,\,\,0,19+j0,32\,\,\,\,\,\,0\\\,\,\,0\,\,\,\,\,\,0\,\,\,\,\,\,-0,05-j0,05\,\,\,\,\,\,0\,\,\,\,\,\,0,05+j0.05 \end{bmatrix}} !$

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