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294  Decision Making Applications in Modern Power Systems


              (A)
                  0.01
                                                            hGSA-PS
                                                            ICA (proposed)
                 0.005                                      DE algorithm
               ΔP tie1–2  (p.u.)  –0.005 0





                 –0.01

                –0.015
                      0       5      10      15       20      25      30
                                            Time (s)

              (B)  0.01
                                                             hGSA-PS
                                                             DE algorithm
                                                             ICA (proposed)
                 0.005
               ΔP tie1–3  (p.u.)  0




                –0.005

                 –0.01
                      0       5       10      15      20      25      30
                                            Time (s)

              (C) 0.015
                                                             hGSA-PS
                                                             ICA (proposed)
                  0.01                                       DE algorithm
               ΔP tie2–3  (p.u.)  0.005 0






                –0.005

                 –0.01
                     0        5       10      15       20      25       30
                                            Time (s)
            FIGURE 11.6 The tie-line power deviation in the different areas: (A) tie-lines 1 2,
            (B) tie-lines 1 3, and (C) tie-lines 2 3.
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