Soft Computing Techniques for Optimal Capacitor Placement - Complex System Modelling and Control Through Intelligent Soft Computations - page 611

Table 7 Results for capacitor placement IEEE 69 bus radial distribution bus system
Original con guration PSO NM-PSO

Peak power loss (kW) 1,149 817.14 812.07

Total power loss (kW) 1,847.06 1,359.98 1,384.04

% Peak power loss reduction 28.89 29.32

-

% Loss reduction - 25.05 25.07

Cost of peak power loss (US$) 193,032 137,279.5 136,416

Cost of energy loss (US$) 507,918 364,002.4 362,858.4

Bene ts in energy loss cost (US$) - 143,915.6 145,059.6

Capacitor cost (US$) 23,400 23,400

-

Total cost (US$) 700,950 524,681.9 522,674.4

Benets (US$) 176,268.10 178,275.60

-

% Bene ts - 25.15 25.43

The results for the IEEE-69 bus radial distribution system are summarized in
Tables 6 and 7 . Table 6 shows that, though, the capacitors (7,800 kvar) placed in
the bus system using both the algorithms are same, their internal distribution is
different. Performance of the network shown in Table 7 , depicts that with solutions
obtained using NM-PSO, a reduction of 29.32 % in power loss, and US$145,059.60
in cost of energy loss, respectively, is obtained in comparison to original (i.e.
without capacitor placement) system. This subsequently reduces the annual cost of
the system by 25.43 % (US$178,275.60) with NM-PSO, in comparison to 25.15 %
(US$176,268.10) with PSO. The corresponding improvement in the voltage pro le

of the bus system is shown in Fig. 14 .
Thus, it can be seen that, in spite of the fact that both the algorithms give the
same size of the capacitors, NM-PSO provides better results in terms of power loss,
energy loss, and total bene ts. This is due to better local searching capability of

NM-PSO, outreaching to the global optimum solution to the problem. Based on the

Fig. 14 Bus voltage comparison between the two algorithms