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262  Decision Making Applications in Modern Power Systems


            These graphs allow one to observe the load margins and voltage levels
            behavior according to the respective increase in generation and load. To
            facilitate understanding, the legends present the buses in a decreasing sensi-
            tivity order.
               The load margin values before redispatch for each scenario are presented
            in Table 10.3. Note that intervals with fc greater than 1 p.u., that is, A11,
            A19, and A22, presented a reduction of the load margin with respect to the
            base case, being A22 the scenario with greater reduction. Instead, A1 and
            A17 presented greater margins in comparison to the base case. These
            variations occur due to the different operative conditions faced by the system
            during the day.
               It is important to highlight that the presence of renewables also increases
            the load margin, as it will reduce the amount of power consumed in the
            buses itself, and if surplus generation is available, they are exported to
            the transmission system.
               Another analysis of interest consists of the reactive load margin. For this
            analysis, the critical buses are identified in Table 10.1 and the respective
            load margins, presented in Table 10.4. The reactive load margin values
            calculated and compared with the base case are shown in Table 10.5.



              TABLE 10.3 Results of initial active load margin.

              Intervals          Initial active load     Margin
                                 margin (p.u.)           increase (p.u.)

              Base case          1.98795
              A1                 2.02946                   0.04151
              A11                1.86541                  2 0.12254
              A17                2.12143                   0.13348
              A19                1.41962                  2 0.56833
              A22                1.23357                  2 0.75438





              TABLE 10.4 Critical buses.

              Intervals       A0     A1      A11      A17     A19      A22
              Critical buses  41     41      41       9       117      29
              A0 represents the base case.
   297   298   299   300   301   302   303   304   305   306   307