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Reddy and Kumar

                 Table 4. Performance of the power system under light operating conditions
                 Power system                     Overshoot                                 Settling time (s)
                 states              Base         FACTS           FACTS           Base        FACTS          FACTS
                                      case          only         with ACO         Case         only         with ACO
                 ∆ω                  0.0169        0.0166         0.0144           25          9.45           3.16
                 ∆δ                  −2.01         −1.95           −1.62           25          7.07           3.02
                 δ                    2.09          2.01           1.87           9.36         3.59           2.16
                 Notes: ∆ω = Speed deviation; ∆δ = Rotor angle deviation; δ: Voltage stability
                 Abbreviations: ACO: Ant colony optimization; FACTS: Flexible Alternating Current Transmission System.

                5.2.3. Results from simulation under lighter operating
                conditions
                A  disturbance  is  assumed  to  occur  when  the  load
                changes quickly. The overshoot and settling time under
                lighter operating conditions are shown  in  Table  4.
                Table 4 presents the power system performance during
                light operation conditions, highlighting  the impact  of
                FACTS controllers with and without ACO. The table
                compares the overshoot and settling time for ∆ω, ∆δ,
                and  δ across three  scenarios:  the  base  case  (without
                FACTS controllers),  FACTS only, and FACTS with
                ACO.  The  results  demonstrate  that  ACO-optimized   Figure  11. Deviation  of  rotor  speed with FACTS,
                FACTS controllers significantly enhanced the system’s   without  FACTS, and  FACTS  + ACO, under light
                stability by reducing overshoot and improving settling   operating conditions
                                                                    Abbreviations:  ACO:  Ant  colony  optimization;
                time, even under light operating conditions. In terms of   FACTS: Flexible Alternating Current Transmission System.
                overshoot, the ACO-FACTS system achieved the lowest
                values, indicating better stability. For ∆ω, the overshoot   For the  base case,  FACTS only, and FACTS-
                reduced to 0.0144 pu with ACO-FACTS, compared to    ACO, the generator’s disturbance caused a maximum
                0.0169 pu in the base case and 0.0166 pu with FACTS   overshoot  of  ∆ω  that  changed  from  0.0169,  0.0166,
                only. Similarly, the ∆δ overshoot decreased to -1.62 rad   and 0.0144 pu, with settling times of 25, 9.45, and 3.16
                with ACO-FACTS,  which  is  lower  than  -2.01  in  the   s, respectively, as shown in Figure 11. In general, the
                base case and -1.95 with FACTS only. δ also showed   proposed system’s ∆ω exhibited better damping when
                improvement, with the overshoot reducing to 1.87 in the   compared to the base case and the FACTS-only device.
                ACO-FACTS case, compared to 2.09 in the base case      Even though the angle reached its normal value,
                and 2.01 with FACTS only.                           the  device  became  unstable when  ∆δ was subjected
                  For  settling  time,  the  ACO-FACTS  system  again   to a change, as this also exposed the active power to
                demonstrated  superior performance.  The settling   a change. The rotor angles for the base case and the
                time for ∆ω decreased to 3.16 s with ACO-FACTS, a
                significant improvement over 25 s in the base case and   FACTS controllers with ACO are shown in Figure 12
                9.45 s with FACTS only. Similarly,  ∆δ and  δ settled   under light loading conditions.
                faster with ACO-FACTS, achieving 3.02 s and 2.16 s,    With the base case, FACTS only, and FACTS with
                respectively, compared to the longer settling times in   ACO,  ∆δ were  approximately  2.09,  2.01, and  1.87
                the base and FACTS-only cases.                      rad, respectively. In general,  the suggested system
                  These results confirm that the ACO-optimized FACTS   exhibits  improved  damping behavior  under light
                controllers  effectively  enhance  the  power  system’s   loading conditions, enhancing power system stability.
                performance  during lighter  operating  conditions  by   The gain in power system stability is generally reduced
                minimizing  overshoot, improving settling  time,  and   by a longer settling period. As a result, the simulation
                providing  better  voltage  regulation  and  oscillation   findings show that the damping controllers can be fine-
                damping, ultimately ensuring more stable and reliable   tuned to demonstrate their superiority over the base case
                system operation.                                   system’s insufficient sizing.



                Volume 22 Issue 2 (2025)                       162                                 doi: 10.36922/ajwep.8393
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