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1.5.2 Optimum Placement of RDGs and Shunt Capacitors to 69-Bus Distribution Network

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As mentioned earlier, using mixed discrete SPBO the sizes and locations of biomass DG, solar PV, and shunt capacitors have been optimized. The size of solar PV and the locations of the RDGs and shunt capacitors have been optimized considering 15th load hour of the day. The optimum locations of biomass DG, solar PV, and shunt capacitors are found to be bus numbers 61, 21, and 17, respectively. Table 1.7 presents the optimum sizes and locations of biomass DG, solar PV, and shunt capacitors obtained using the mixed discrete SPBO algorithm, with an objective to minimize the J for different load hours. Figure 1.6 presents the graphical representation of a comparative study of active power loss before and after placement of RDGs and shunt capacitors to 69-bus distribution networks. From Table 1.7 and Figure 1.6, it may be clearly noticed that, after the placement of RDGs and shunt capacitors to the distribution network, the active power loss reduces significantly for all the load hours of the day considered in this study. At the 15th load hour, the active power loss reduces from 224.96 kW to 11.2002 kW. Even in the absence of solar power injection, the active power loss reduction after the placement of RDGs and shunt capacitors is found to be quite significant for different load hours. Figure 1.7 shows the reduction VDI, after the placement of RDGs and shunt capacitors for all the load hours of the considered day. From Figure 1.7 and Table 1.7, it may be noticed that the reduction of VDI is quite significant for all the load hours, which implies a significant improvement of voltage profile after the placement of DGs to the distribution network corresponding to each load hours. Figure 1.8 shows the improvement of voltage profile after the placement of DGs to the distribution network for the 15th hour, using mixed discrete SPBO.

From the study, it is worth noting that after the placement of biomass DG, solar PV and shunt capacitors to the distribution networks, the active power loss, and VDI reduces quite significantly for both the considered distribution networks and for all the load hours of the considered day. The effective annual installation cost is also found to be less for both the considered distribution networks. It may also be said that the mixed discrete SPBO is quite capable to optimize the sizes and locations of the DGs, in order to achieve the desired objectives.

Table 1.7 Optimum placement of RDGs and shunt capacitors to the 69-bus distribution network.

Load hour Optimum size of biomass DG (kW) Optimum size of solar PV (kW) Optimum size of shunt capacitor (kVAr) Active power loss before placement of DG (kW) Active power loss after placement of DG (kW) Base VDI (before placement of DG) VDI after placement of DG
Location – 61 Location - 21 Location - 17
1 1098.3 963.8 375 86.4909 8.3858 0.0383 0.0027
2 1036.3 963.8 350 75.5157 7.3189 0.0334 0.0023
3 1003.4 963.8 350 70.3339 6.9606 0.0312 0.0021
4 973.4183 963.8 325 65.3533 6.3379 0.0290 0.002
5 973.4183 963.8 325 65.3533 6.3379 0.0290 0.002
6 1003.4 963.8 350 70.3339 6.9606 0.0312 0.0021
7 1096.2 963.8 375 86.4909 8.176 0.0383 0.0026
8 1251.2 963.8 425 124.4711 8.7507 0.0551 0.0024
9 1372.4 963.8 425 166.2875 8.4317 0.0735 0.0019
10 1456.4 963.8 425 201.1622 9.435 0.0888 0.0019
11 1495.3 963.8 425 220.0746 10.3757 0.0972 0.0019
12 1495.4 963.8 425 224.9605 10.8111 0.0993 0.0019
13 1481.1 963.8 425 220.0746 10.5949 0.0972 0.0018
14 1504.2 963.8 425 224.9605 10.6459 0.0993 0.002
15 1523.5 963.8 475 224.9605 11.2002 0.0993 0.0024
16 1508.2 963.8 475 210.4930 11.3714 0.0929 0.0029
17 1525.2 963.8 525 205.7964 14.4862 0.0909 0.0044
18 1551.1 963.8 575 205.7964 19.078 0.0909 0.0063
19 1520.0 963.8 550 192.0793 18.7495 0.0848 0.0065
20 1505.6 963.8 550 187.6298 18.4184 0.0829 0.0063
21 1505.6 963.8 550 187.6298 18.4184 0.0829 0.0063
22 1520.0 963.8 550 192.0793 18.7495 0.0848 0.0065
23 1435.6 963.8 525 166.2875 16.3785 0.0735 0.0055
24 1219.6 963.8 425 110.9501 10.774 0.0491 0.0035

Figure 1.6 Variation of active power loss before and after placement of DGs to the 69-bus distribution network.


Figure 1.7 Variation of VDI before and after placement of DGs to the 69-bus distribution network.


Figure 1.8 Voltage profile of 69-bus distribution network before and after placement of DGs for 15th load hour.

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