Trust-Region Method for Load Flow Solution of Three-Phase Unbalanced Electric Power Distribution System

Table 12

Voltage profile of 123-bus network.

Node	Proposed method			OpenDSS
	|Va|	|Vb|	|Vc|	|Va|	|Vb|	|Vc|
0	1.00000	1.0000	1.00000	0.99994	0.99994	0.99996
1	0.99187	0.99480	0.99351	0.99185	0.99476	0.99345
2	0.98680	0.99368	0.98959	0.98676	0.99366	0.98955
3	0.98680	0.99364	0.98961	0.98670	0.99360	0.98952
4	0.98696	0.99365	0.98932	0.98691	0.99360	0.98923
5	0.98701	0.99364	0.98923	0.98696	0.99363	0.98920
6	0.98709	0.99362	0.98910	0.98706	0.99356	0.98904
7	0.98715	0.99361	0.98899	0.98710	0.99359	0.98893
8	0.98301	0.99287	0.98696	0.98295	0.99283	0.98691
9	0.98053	0.99230	0.98521	0.98046	0.99224	0.98512
10	0.98028	0.99242	0.98519	0.98024	0.99240	0.98516
11	0.97994	0.99259	0.98516	0.97990	0.99256	0.98513
12	0.97988	0.99261	0.98515	0.97978	0.99255	0.98514
13	0.98052	0.99225	0.98523	0.98052	0.99223	0.98514
14	0.97716	0.99133	0.98259	0.97707	0.99125	0.98252
15	0.97999	0.99256	0.98516	0.97990	0.99246	0.98511
16	0.97729	0.99130	0.98236	0.97721	0.99123	0.98229
17	0.97738	0.99128	0.98219	0.97737	0.99125	0.98214
18	0.97733	0.99129	0.98228	0.97731	0.99124	0.98221
19	0.97321	0.99072	0.98041	0.97317	0.99071	0.98035
20	0.97298	0.99083	0.98039	0.97291	0.99074	0.98032
21	0.97284	0.99090	0.98038	0.97282	0.99081	0.98032
22	0.97296	0.99078	0.98004	0.97288	0.99069	0.97994
23	0.97292	0.99054	0.98014	0.97291	0.99052	0.98012
24	0.97277	0.99093	0.97967	0.97270	0.99087	0.97966
25	0.97291	0.99090	0.97943	0.97286	0.99090	0.97942
26	0.97251	0.99111	0.97940	0.97243	0.99107	0.97939
27	0.97244	0.99117	0.97922	0.97237	0.99114	0.97917
28	0.97232	0.99123	0.97920	0.97223	0.99122	0.97915
29	0.97237	0.99121	0.97929	0.97228	0.99119	0.97925
30	0.97229	0.99127	0.97915	0.97226	0.99122	0.97907
31	0.97236	0.99125	0.97899	0.97229	0.99124	0.97893
32	0.9725	0.99116	0.97912	0.97248	0.99110	0.97904
33	0.97253	0.99116	0.97905	0.97253	0.99111	0.97896
34	0.97209	0.99134	0.97918	0.97202	0.99127	0.97908
35	0.97725	0.99131	0.98242	0.97720	0.99124	0.98240
36	0.97130	0.98983	0.97958	0.97125	0.98977	0.97957
37	0.97098	0.98967	0.97972	0.97089	0.98967	0.97965
38	0.97084	0.98974	0.97970	0.97078	0.98973	0.97970
39	0.97096	0.98956	0.97977	0.97090	0.98953	0.97971
40	0.97095	0.98949	0.97980	0.97086	0.98944	0.97974
41	0.97078	0.98946	0.97922	0.97070	0.98939	0.97914
42	0.97082	0.98945	0.97915	0.97076	0.98941	0.97910
43	0.97023	0.98909	0.97891	0.97021	0.98900	0.97888
44	0.97019	0.98887	0.97901	0.97017	0.98879	0.97894
45	0.96986	0.98885	0.97863	0.96977	0.98876	0.97856
46	0.96977	0.98890	0.97862	0.96976	0.98884	0.97857
47	0.96970	0.98893	0.97862	0.96965	0.98890	0.97858
48	0.96950	0.98850	0.97828	0.96948	0.98849	0.97827
49	0.96940	0.98842	0.97820	0.96930	0.98836	0.97814
50	0.96940	0.98833	0.97816	0.96933	0.98825	0.97813
51	0.96939	0.98835	0.97804	0.96934	0.98831	0.97804
52	0.96933	0.98838	0.97804	0.96929	0.98838	0.97796
53	0.97266	0.98979	0.97934	0.97265	0.98976	0.97932
54	0.97136	0.98926	0.97836	0.97129	0.98925	0.97831
55	0.97061	0.98890	0.97774	0.97061	0.98887	0.97767
56	0.97054	0.98888	0.97777	0.97053	0.98883	0.97773
57	0.97053	0.98882	0.97780	0.97048	0.98876	0.97772
58	0.96860	0.98793	0.97600	0.96859	0.98788	0.97596
59	0.96858	0.98782	0.97605	0.96850	0.98773	0.97598
60	0.96857	0.98776	0.97607	0.96849	0.98771	0.97600
61	0.96435	0.98617	0.97210	0.96428	0.98608	0.97206
62	0.96435	0.98617	0.97210	0.96433	0.98611	0.97210
63	0.96417	0.98583	0.97127	0.96410	0.98574	0.97123
64	0.96402	0.98557	0.97083	0.96396	0.98555	0.97079
65	0.96402	0.98500	0.96991	0.96392	0.98493	0.96988
66	0.96392	0.98496	0.96867	0.96385	0.98493	0.96865
67	0.96400	0.98504	0.96815	0.96392	0.98497	0.96807
68	0.96121	0.98526	0.97001	0.96117	0.98519	0.96996
69	0.96094	0.98540	0.96998	0.96090	0.98539	0.96989
70	0.96063	0.98555	0.96995	0.96055	0.98552	0.96992
71	0.96041	0.98565	0.96993	0.96040	0.98563	0.96986
72	0.96028	0.98571	0.96992	0.96027	0.98565	0.96988
73	0.96058	0.98473	0.96939	0.96057	0.98464	0.96930
74	0.96080	0.98468	0.96902	0.96076	0.98465	0.96894
75	0.96098	0.98465	0.96870	0.96089	0.98457	0.96867
76	0.96108	0.98463	0.96852	0.96100	0.98456	0.96850
77	0.96001	0.98437	0.96920	0.96000	0.98437	0.96912
78	0.95974	0.98418	0.96898	0.95970	0.98412	0.96889
79	0.95968	0.98418	0.96891	0.95963	0.98414	0.96887
80	0.95958	0.98424	0.96890	0.95954	0.98414	0.96883
81	0.95962	0.98404	0.96856	0.95956	0.98404	0.96852
82	0.95960	0.98412	0.96812	0.95953	0.98407	0.96803
83	0.95951	0.98418	0.96805	0.95948	0.98414	0.96797
84	0.95953	0.98417	0.96799	0.95949	0.98413	0.96798
85	0.95986	0.98407	0.96766	0.95986	0.98399	0.96758
86	0.95998	0.98404	0.96745	0.95988	0.98401	0.96735
87	0.95932	0.98361	0.96936	0.95931	0.98353	0.96931
88	0.95890	0.98323	0.96941	0.95889	0.98318	0.96932
89	0.95882	0.98327	0.96940	0.95879	0.98326	0.96935
90	0.95879	0.98304	0.96940	0.95877	0.98302	0.96938
91	0.95877	0.98294	0.96944	0.95872	0.98287	0.96942
92	0.95872	0.98299	0.96933	0.95868	0.98294	0.96929
93	0.95879	0.98297	0.96920	0.95870	0.98296	0.96912
94	0.95860	0.98295	0.96937	0.95850	0.98291	0.96929
95	0.95847	0.98301	0.96936	0.95847	0.98295	0.96928
96	0.95857	0.98282	0.96944	0.95850	0.98280	0.96941
97	0.95857	0.98277	0.96946	0.95854	0.98270	0.96940
98	0.96082	0.98518	0.96973	0.96077	0.98516	0.96972
99	0.96073	0.98512	0.96965	0.96067	0.98503	0.96964
100	0.96079	0.98485	0.96953	0.96070	0.98482	0.96951
101	0.96085	0.98483	0.96939	0.96081	0.98476	0.96932
102	0.96019	0.98513	0.96931	0.96009	0.98511	0.96926
103	0.96034	0.98510	0.96906	0.96031	0.98507	0.96904
104	0.96050	0.98507	0.96877	0.96043	0.98506	0.96872
105	0.96069	0.98503	0.96846	0.96062	0.98498	0.96844
106	0.95971	0.98514	0.96939	0.95966	0.98507	0.96939
107	0.95968	0.98494	0.96948	0.95961	0.98488	0.96939
108	0.95963	0.98468	0.96959	0.95957	0.98464	0.96954
109	0.95919	0.98543	0.96935	0.95917	0.98537	0.96925
110	0.95848	0.98578	0.96928	0.95846	0.98572	0.96921
111	0.95813	0.98595	0.96925	0.95804	0.98588	0.96919
112	0.95800	0.98601	0.96924	0.95799	0.98594	0.96916
113	0.95802	0.98600	0.96924	0.95802	0.98591	0.96915
114	0.95766	0.98617	0.96921	0.95761	0.98615	0.96911
115	0.95759	0.98621	0.96920	0.95750	0.98614	0.96920
116	0.96085	0.98483	0.96939	0.96079	0.98481	0.96930
117	0.95919	0.98543	0.96935	0.95917	0.98542	0.96928
118	0.96304	0.98579	0.97123	0.96300	0.98573	0.97113
119	0.97542	0.99074	0.98134	0.97538	0.99069	0.98129
120	0.97244	0.99036	0.98008	0.97234	0.99032	0.98003
121	0.97236	0.99125	0.97899	0.97234	0.99118	0.97891
122	0.96050	0.98516	0.96952	0.96042	0.98508	0.96950