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Enhanced renewable integration for power system stability

                 Table 3. Performance of the power system under demanding operating conditions
                 Power system                     Overshoot                                 Settling time (s)
                 states               Base        FACTS           FACTS          Base        FACTS          FACTS
                                      case          only        with ACO         case          only        with ACO
                 ∆ω                  0.0175        0.0171         0.0153          25           9.4            3.54
                 ∆δ                  −2.06         −2.01          −1.76           25           10.7           2.86
                 δ                    2.27          2.5            1.92          10.3          4.19           2.32
                 Notes: ∆ω: Speed deviation; ∆δ: Rotor angle deviation; δ: Voltage stability.
                 Abbreviations: ACO: Ant colony optimization; FACTS: Flexible Alternating Current Transmission System.

                times for the FACTS and FACTS-ACO were 62.83 and
                88.39%, respectively, and  the  largest  overshoot  was
                0.15% and 13.75%. The ACO-based FACTS controllers
                successfully stabilized  the system under the existing
                disturbance, in contrast to the base case.

                5.2.2. Results from simulation under heavy operating
                conditions
                The ACO with FACTS controllers was selected for a
                rapid  load  increment  to  generate  a  disturbance  under   Figure  10. Rotor angle  deviation  with FACTS,
                demanding  operating  conditions. The  power system’s   without FACTS, and FACTS + ACO under heavy
                performance  under these conditions is displayed in   loading conditions
                Table 3. Table 3 showcases the system’s behavior under   Abbreviations:  ACO:  Ant  colony  optimization;
                demanding  operating  conditions, comparing  the base   FACTS: Flexible  Alternating  Current  Transmission
                case, FACTS only, and FACTS with ACO tuning. The    System.
                table evaluates the system’s stability based on overshoot
                and  settling  time  metrics.  In terms  of overshoot,  the   in Figure 9, which illustrates the enhanced damping
                ACO-optimized  FACTS  controllers  demonstrated     performance  achieved  through  ACO-optimized
                improved performance. For angular ∆ω, the overshoot   FACTS  controllers.  Overall,  Table  3 highlights the
                reduced from 0.0175 pu in the base case to 0.0171 pu   effectiveness  of  ACO-optimized  FACTS  controllers
                with FACTS, and further decreased to 0.0153 pu with   in improving the power system’s stability under
                ACO,  indicating  better  speed  stability.  Similarly,  ∆δ   demanding conditions by reducing both overshoot and
                overshoot  decreased  from  -2.06 rad  in  the  base  case   settling time, resulting in faster stabilization and better
                to -2.01 rad with FACTS and further improved to -1.76   voltage regulation.
                rad with ACO tuning, enhancing rotor stability. The δ   The system’s angle deviation oscillated in the base
                also benefited from ACO optimization, decreasing from   case,  but  when  ACO-based  FACTS  controllers  were
                2.27  in  the  base  case  to  1.92  with ACO,  showcasing   applied, the oscillations were reduced, and a steady state
                better voltage regulation.                          was reached. As a result, adopting ACO-based FACTS
                  Regarding     settling   time,   ACO-optimized    damping controllers efficiently increased power system
                FACTS  controllers  significantly  enhanced  system   stability.  The system achieved  a steady  state  when a
                responsiveness. The  ∆ω settling time improved      change in the rotor angle was converted into a negative
                from 25 s in the base case to 9.4 s with FACTS, and   change. The ∆δ for the FACTS controllers and the base
                further  reduced  to  3.54  s with ACO,  ensuring  faster   case with the ACO under heavy loading conditions are
                stabilization. Similarly, the ∆δ settling time decreased   shown in Figure 10.
                from 25 s to 10.7 s with FACTS and further improved to   The device exhibited interarea oscillation depending
                2.86 s with ACO, indicating quicker system recovery.   on angle stability.  After reaching a maximum  value,
                The δ settling time also reduced significantly from 10.3   the oscillation started to decline as the system returned
                s in the base case to 2.32 s with ACO, demonstrating   to its normal value. The settling time for FACTS was
                enhanced voltage stability.  These improvements in   65.3%,  and  the  settling  time  for ACO-based  FACTS
                rotor speed deviation under heavy loading are depicted   was 87.2%.



                Volume 22 Issue 2 (2025)                       161                                 doi: 10.36922/ajwep.8393
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