For the triangular factorization of the corresponding \(\boldsymbol{Y}_{\text {bus }}\), number the nodes of the graph shown in Figure 6.9 in an optimal order.

Figure 6.9

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385 MW -37 Mvar slack One 65% Five MVA 1.000 pu 0.000 Deg 1.005 pu -4.432 Deg Total Real Power Losses: 25.37 MW 44% MVA 0.959 pu- -19.779 Deg A MVA 25% MVA 184.0 Mvar Two A Four 46% MVA 1.036 pu -2.685 Deg 800 MW 280 Mvar Three 1.050 pu -0.415 Deg 520 MW 160 Mvar 80 MW 40 Mvar