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A $3$-bus power system is shown in the figure below, where the diagonal elements of $Y$-bus matrix are: $Y_{11}= -j12$ pu, $Y_{22}= -j15$ pu, $\text{and}$ $Y_{33} = -j7$ pu.

The per unit values of the line reactances $p, q$ and $r$ shown in the figure are

  1. $p= -0.2, q= -0.1, r= -0.5$
  2. $p= 0.2, q= 0.1, r= 0.5$
  3. $p= -5, q= -10, r= -2$
  4. $p= 5, q= 10, r= 2$
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