Assessment of the voltage stability of the power system using stability indices and artificial neural network | Science and Technology for Energy Transition (STET)

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Table 4

Real and reactive power losses of the line (14-13) and (14-9) for NR and ANN methods with different active power loading at bus 14.

Load at Bus No. 14 (in p.u.)	Real power loss in line (14-13) (in p.u.)		Reactive power loss in line (14-13) (in p.u.)		Real power loss in line (14-9) (in p.u.)		Reactive power loss in line (14-9) (in p.u.)
Load at Bus No. 14 (in p.u.)	NR method	ANN approach	NR method	ANN approach	NR method	ANN approach	NR method	ANN approach
0.16132	0.00141	0.00139	0.00286	0.00282	0.00075	0.00075	0.00160	0.00160
0.22290	0.00221	0.00221	0.00451	0.00451	0.00164	0.00165	0.00349	0.00352
0.27217	0.00302	0.00304	0.00616	0.00618	0.00261	0.00262	0.00555	0.00558
0.32143	0.00399	0.00401	0.00812	0.00816	0.00382	0.00382	0.00813	0.00812
0.37070	0.00511	0.00513	0.01040	0.01047	0.00528	0.00527	0.01124	0.01119
0.41997	0.00640	0.00643	0.01303	0.01310	0.00700	0.00697	0.01489	0.01480
0.48155	0.00826	0.00812	0.01682	0.01644	0.00952	0.00965	0.02025	0.02060
0.53082	0.00995	0.00938	0.02027	0.02016	0.01185	0.01174	0.02522	0.02515
0.54313	0.01041	0.01034	0.02119	0.02118	0.01248	0.01247	0.02655	0.02654
0.59240	0.01235	0.01240	0.02515	0.02527	0.01518	0.01514	0.03230	0.03218
0.64167	0.01451	0.01449	0.02954	0.02950	0.01820	0.01821	0.03871	0.03875
0.69093	0.01689	0.01688	0.03439	0.03436	0.02154	0.02155	0.04582	0.04585
0.75252	0.02021	0.02021	0.04115	0.04114	0.02620	0.02621	0.05574	0.05576
0.81410	0.02394	0.02395	0.04875	0.04876	0.03145	0.03145	0.06690	0.06691
0.85105	0.02640	0.02641	0.05375	0.05377	0.03490	0.03490	0.07424	0.07424
0.88800	0.02903	0.02904	0.05911	0.05912	0.03859	0.03859	0.08208	0.08208
0.93727	0.03283	0.03284	0.06685	0.06686	0.04390	0.04390	0.09339	0.09338
0.97422	0.03592	0.03593	0.07313	0.07315	0.04821	0.04820	0.10255	0.10254
1.02348	0.04039	0.04039	0.08223	0.08224	0.05441	0.05441	0.11574	0.11573
1.04812	0.04279	0.04279	0.08711	0.08711	0.05773	0.05772	0.12279	0.12278
1.09738	0.04794	0.04794	0.09761	0.09760	0.06482	0.06481	0.13787	0.13786
1.14665	0.05363	0.05362	0.10918	0.10918	0.07258	0.07258	0.15440	0.15439
1.19592	0.05993	0.05993	0.12201	0.12201	0.08112	0.08112	0.17255	0.17256
1.23287	0.06512	0.06512	0.13258	0.13258	0.08809	0.08810	0.18739	0.18740
1.28213	0.07277	0.07277	0.14815	0.14815	0.09828	0.09828	0.20905	0.20906
1.35603	0.08619	0.08618	0.17548	0.17546	0.11587	0.11586	0.24646	0.24645
1.38067	0.09131	0.09130	0.18591	0.18590	0.12250	0.12249	0.26057	0.26055
1.46688	0.11297	0.11299	0.23002	0.23004	0.14996	0.14997	0.31898	0.31900
1.52847	0.13413	0.13412	0.27310	0.27306	0.17596	0.17594	0.37429	0.37425
1.61468	0.18985	0.18894	0.38655	0.38594	0.24080	0.24086	0.51221	0.51251

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