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382  Decision Making Applications in Modern Power Systems



              TABLE 14.2 Results of the proposed optimal Steinmetz compensator and
              single-tuned harmonic filter, optimal Steinmetz compensator and optimal
              single-tuned harmonic filter designs according to particle swarm
              optimization algorithm.
              Parameters     Optimal SC 1 STF   Optimal SC    Optimal STF
              X LFab (Ω)       0.160                           0.200
              X CFab (Ω)       3.991                           5.052
              X LFbc (Ω)       0.172                           0.062
              X CFbc (Ω)       4.323                           5.450
              X LFca (Ω)       0.102                           0.079
              X CFca (Ω)       4.180                           3.978
                   21
              B Sab (Ω )       2.513              2.605
                   21
              B Sbc (Ω )       4.806              4.335
                   21
              B Sca (Ω )     2 5.305            2 5.221
              THDV a (%)       3.78               9.62         3.57
              THDV b (%)       1.82               9.51         5.40
              THDV c (%)       2.43              13.72         6.50
              THDV Mean (%)    2.67              10.95         5.15
              VUF (%)          0.75               0.69         5.09
               1
              V (p.u.)         1.02               1.01         1.00
              DPF (%)         99.99              99.49        98.11
              PPL (%)         97.42              96.23        54.92
              DPF, Displacement power factor; PPL, permissible penetration level; THDV, total voltage
              harmonic distortion; VUF, voltage unbalance factor.



            and V 1  is kept between 0.9 and 1.1 p.u. Apart from that, it improves PPL
                 1
            from 54.50% to 97.42% and DPF from 94.50% to 99.99%, respectively.
               In order to demonstrate the necessity of the cooperative employment of
            the SC and STF, results of optimal SC and optimal STF designs are given in
            Table 14.2. The optimal SC design is attained by considering the proposed
            compensator’s problem formulation that except objectives and constraints
            related to voltage harmonic distortion. Its susceptances are found as
                        21
                                                            21
                                       21
            B Sab 5 2.605 Ω , B Sbc 5 4.335Ω , and B Sca 525.221 Ω . It attains better
            VUF, PPL, and DPF values measured as 0.69%, 96.23%, and 99.49%,
            respectively, with respect to the uncompensated system. In addition, it keeps
            V 1  in the acceptable limit between 0.9 and 1.1 p.u. However, THDV a ,
             1
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