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Reddy and Kumar

                  Figure 17 compares the control effort over time for   and  higher  peaks,  indicating  increased  control  effort
                systems with and without the ACO method. The blue   and  instability.  The  red  dashed  line  (with  ACO)
                solid  line  (without  ACO)  shows  larger  fluctuations   demonstrates reduced oscillations and smoother control
                                                                    effort,  suggesting  improved  efficiency  and  stability.
                                                                    These  results  highlight  the  effectiveness  of  the ACO
                                                                    method in minimizing control effort while maintaining
                                                                    system performance.
                                                                       Figure 18 compares the ∆δ over time for two cases:
                                                                    without  the  ACO  method  (blue  solid  line)  and  with
                                                                    the ACO method (red dashed line). Without ACO, the
                                                                    rotor  angle  exhibits  higher  oscillations  and  a  longer
                                                                    time  to  stabilize.  In  contrast,  with ACO,  oscillations
                                                                    are damped more rapidly, leading to a more stable and
                                                                    controlled response. These results confirm the improved
                                                                    performance of the ACO-based method in minimizing
                                                                    ∆δ and achieving superior system stability.
                Figure 13. Comparison of systems with and without      Figure  19 highlights improvements in dynamic
                FACTS controllers                                   stability  through the optimal synchronization  of
                Abbreviation: FACTS: Flexible  Alternating Current   four  FACTS  controllers  –  SVC,  STATCOM,  SSSC,
                Transmission System.                                and  UPFC  –  optimized  using  the ACO  method.  The
                                                                    performance  is  assessed by  comparing  damping




















                Figure 14. Rotor speed deviation without and with   Figure 16. Load angle deviation over time
                FACTS controller                                    Abbreviation: ACO: Ant colony optimization.
                Abbreviation: FACTS: Flexible  Alternating Current
                Transmission System.
















                Figure 15. Rotor speed deviation with and without
                ACO                                                 Figure 17. Control effort over time
                Abbreviation: ACO: Ant colony optimization.         Abbreviation: ACO: Ant colony optimization.




                Volume 22 Issue 2 (2025)                       164                                 doi: 10.36922/ajwep.8393
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