Radial Basis Function Neural Network Application to Measurement and Control of Shunt Reactor Overvoltages Based on Analytical Rules

Table 2

Some sample testing data and output.

𝑉	𝑅eqv	𝐿eqv	𝐶eqv	L.L.	S.R.	𝐿sat	𝑉PSB	𝑉RBF	error𝑉	𝑇PSB	𝑇RBF	error𝑇
1.208	0.003	0.0325	1.2825	180	20	0.34	1.6582	1.6793	1.2749	0.3673	0.3565	2.9517
1.234	0.003	0.0325	1.2825	240	20	0.34	1.9675	1.9838	0.8261	0.4661	0.4741	1.7205
1.257	0.003	0.0225	1.2825	220	20	0.3	1.8831	1.8657	0.9235	0.5154	0.5219	1.2694
1.269	0.003	0.0275	1.2825	220	20	0.38	2.1371	2.2158	3.6829	0.8831	0.8692	1.5736
1.292	0.003	0.0275	1.2825	160	20	0.26	1.8194	1.7917	1.5216	0.5747	0.5597	2.6128
1.328	0.003	0.0275	1.2825	240	20	0.38	2.2339	2.1944	1.7684	0.9075	0.8968	1.1805
1.354	0.003	0.0375	1.2825	180	20	0.34	2.0425	2.0850	2.0831	0.8573	0.8856	3.2985
1.381	0.003	0.0325	1.2825	240	20	0.34	2.3117	2.3954	3.6194	0.9812	0.9958	1.4918
1.296	0.0035	0.025	0.9781	190	10	0.32	1.8302	1.8234	0.3742	0.6035	0.6172	2.2657
1.296	0.0035	0.025	0.9781	190	70	0.32	1.6653	1.6342	1.8671	0.5387	0.5235	2.8243
1.301	0.0055	0.025	2.1956	190	50	0.32	1.7195	1.7059	0.7938	0.3995	0.4123	3.1984
1.282	0.0065	0.025	1.5869	190	50	0.32	1.7102	1.6852	1.4628	0.3567	0.3645	2.1864
1.294	0.0045	0.025	1.5869	190	90	0.32	1.6417	1.5735	4.1559	0.3126	0.3152	0.8215
1.279	0.0045	0.025	0.3694	190	90	0.32	1.6215	1.6556	2.1035	0.2369	0.2408	1.6478
1.306	0.0065	0.025	2.8044	190	30	0.32	1.7743	1.7253	2.7642	0.4734	0.4616	2.4961

𝑉: voltage at shunt reactor bus before switching (p.u.), 𝑅_eqv: equivalent resistance (p.u.), 𝐿_eqv: equivalent inductance (p.u.), 𝐶_eqv: equivalent capacitance (p.u.), L.L.: line length (km), S.R.: shunt reactor capacity (MVAR), 𝐿_sat: saturation curve slope (p.u.), error_𝑉: voltage error (%), and error_𝑇: duration time error (%).