Simple Quadratic Interpolation-Inspired Symbiosis Organisms Search Algorithm for Optimal Placement of Capacitors in Radial Distribution Networks with Different Loading Models

Table 16

Results of real power loss in all lines of the 119-bus system before and after the installation of capacitors.

Line	Real power loss (kW)
	Uncompensated	Compensated by SQI-SOS
1-2	54.693	40.757
2-3	1.07E − 04	1.07E − 04
2–4	43.480	30.111
4-5	0.032	0.032
5-6	0.021	0.021
6-7	0.008	0.008
7-8	0.003	0.003
8-9	0.002	0.002
2–10	9.016	9.009
10-11	5.060	5.056
11-12	0.242	0.242
12-13	0.155	0.155
13-14	0.141	0.140
14-15	0.018	0.018
15-16	0.010	0.010
16-17	0.002	0.002
11–18	5.692	5.687
18-19	2.999	2.997
19-20	3.288	3.286
20-21	0.829	0.829
21-22	0.439	0.439
22-23	3.596	3.593
23-24	0.516	0.516
24-25	0.080	0.080
25-26	0.007	0.007
26-27	0.002	0.002
4–28	13.066	8.854
28-29	8.888	5.880
29-30	37.661	22.342
30-31	40.934	22.299
31-32	17.805	9.099
32-33	18.523	10.325
33-34	16.343	8.905
34-35	12.331	6.343
30–36	2.083	2.046
36-37	0.348	0.342
29–38	11.434	8.464
38-39	9.456	6.855
39-40	3.689	2.654
40-41	4.037	2.855
41-42	7.621	6.211
42-43	0.263	0.257
43-44	0.064	0.063
44-45	0.028	0.028
45-46	0.005	0.005
35–47	15.022	7.490
47-48	8.107	3.970
48-49	9.464	4.546
49-50	8.580	3.956
50-51	2.016	1.887
51-52	0.525	0.492
52-53	1.340	1.254
53-54	1.086	1.017
29–55	4.162	4.140
55-56	3.834	3.815
56-57	2.957	2.941
57-58	4.074	4.053
58-59	0.329	0.327
59-60	0.275	0.274
60-61	0.081	0.081
61-62	0.014	0.014
1–63	21.514	14.882
63-64	78.020	53.567
64-65	76.194	52.927
65-66	26.431	18.290
66-67	37.674	25.135
67-68	48.439	32.331
68-69	37.607	24.970
69-70	84.702	55.975
70-71	9.090	6.320
71-72	8.740	6.211
72-73	7.149	5.446
73-74	4.499	3.497
74-75	0.313	0.289
75-76	0.613	0.565
76-77	0.009	0.008
64–78	37.404	24.564
78-79	9.678	6.266
79-80	3.949	2.301
80-81	1.822	1.773
81-82	0.461	0.449
82-83	0.152	0.148
83-84	0.019	0.018
84-85	0.005	0.005
79–86	0.419	0.409
86-87	0.011	0.011
87-88	0.001	0.001
65–89	20.677	14.298
89-90	7.558	5.200
90-91	7.180	4.964
91-92	0.291	0.283
92-93	0.103	0.100
93-94	0.022	0.021
94-95	0.022	0.021
91–96	2.974	2.224
96-97	0.917	0.890
97-98	0.012	0.012
98-99	0.002	0.002
1-100	24.074	15.852
100-101	45.611	28.730
101-102	33.412	20.393
102-103	43.442	25.825
103-104	69.359	38.948
104-105	22.986	12.902
105-106	43.600	24.262
106-107	19.223	10.705
107-108	31.590	18.174
108-109	11.153	6.153
109-110	15.047	7.897
110-111	4.069	2.678
110-112	0.409	0.388
112-113	0.011	0.010
100-114	2.160	2.157
114-115	0.210	0.210
115-116	0.248	0.248
116-117	0.031	0.031
117-118	0.006	0.006