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Table 8 Simulation results on the IEEE 57 bus system using different algorithms without DG

From: Impact of the penetration of distributed generation on optimal reactive power dispatch

Control Variables (p.u.) PSO R-PSO L-PSO PSO-CFA IPSO-SR FOA MFOA JAYA
VG1 1.1 1.1 1.1 1.1 1.1 0.9127 0.9 1.1
VG2 1.1 1.1 1.1 1.1 1.1 0.9 0.9 1.0991
VG3 1.1 1.1 1.1 1.1 1.1 0.9 0.9 1.0888
VG6 1.1 1.1 1.1 1.1 1.1 0.9 0.9 1.0834
VG8 1.1 1.1 1.1 1.1 1.1 0.9 0.9 1.1
VG9 1.1 1.1 1.1 1.1 1.1 0.9 0.9 1.0848
VG12 1.1 1.1 1.1 1.1 1.1 0.9 0.9 1.0806
T4–18 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9
T4–18 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9
T21–20 1.1 1.1 1.1 0.9918 1.1 0.9 0.9243 0.9824
T24–26 1.0036 1.1 1.015 0.9971 1.0642 0.9 0.9 0.9865
T7–29 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9
T34–32 0.9671 1.1 0.9688 0.9662 1.1 1.1 0.9 0.9751
T11–41 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9
T15–45 1.1 1.0046 1.1 1.1 1.0133 0.9 0.9 0.9
T14–46 1.1 1.0095 1.1 1.1 1.0176 0.9 0.9 0.9
T10–51 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9101
T13–49 1.1 0.9823 1.0333 1.1 0.9895 0.9 0.9 0.9
T11–43 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9
T40–56 1.1 1.1 1.1 1.027 1.1 0.9 0.9 1.0111
T39–57 1.1 1.1 1.1 0.9829 1.1 0.9 0.9 0.9841
T9–55 1.1 1.1 1.1 1.1 1.1 0.9 0.9 0.9002
Qsc18 0.0 0.0 0.0 0.10 0.0616 0.0012 0.008 0.0976
Qsc25 0.059 0.059 0.059 0.059 0.059 0.0026 0.0059 0.059
Qsc53 0.063 0.063 0.063 0.063 0.063 0.0014 0.0059 0.063
Ploss (MW) 24.8254 24.2539 24.5676 24.5873 24.2012 33.5557 23.0158 21.5481
ALC-PSO [18] BBO [18] GSA [18] CPVEI HBMO [18] HBMO [18] OGSA [18] BSO 1 [18] BSO 2 [18] BSO 3 [18]
23.39 24.544 24.439 22.78 23.24 23.43 24.5025 24.4856 24.4492
BSO 4 [18] BSO 5 [18] SGA (Ff1) [36] SGA (Ff2) [36] PSO [37] ICA [37] PSO-ICA [37] MOALO [38] DSA [39]
24.3744 24.6431 23.836 24.325 24.7742 24.1607 24.1386 26.593 23.35
BSO [40] WCA [41] GBWCA [41] GSA [42] CSA [42] MCBOA [42] BA [43] FPA [43]  
24.3744 24.82 23.27 24.4922 24.2619 23.6943 24.9254 24.8419