Advances in Electrical Engineering

Research Article

Assessment of Global Voltage Stability Margin through Radial Basis Function Neural Network

GVSM for IEEE 14-bus test system at unknown different operating loading incorporating noise.


Value of GVSM for unknown loading at normal case
	NR	FFBP	CFB	GR	LR	NARX	RBFN	ELMAN	FFDTD

Operating load (1.149 p.u.)	3.2212	1.6369	3.0838	3.236	2.478	2.0081	3.2252	2.5647	2.5566
Operating load 1.339	2.8993	1.6275	3.0199	2.9019	2.7372	2.0781	2.8991	2.5638	2.5299
Operating load 2.2315	2.2657	2.6635	2.1953	2.2657	3.2673	2.2493	2.2659	2.4685	2.3028
Operating load 2.4951	2.0474	3.0925	1.7732	2.0474	3.2687	2.2684	2.0476	2.4184	2.2467
Operating load 3.1591	1.3522	3.203	1.3951	1.3521	3.1603	2.1735	1.3527	2.3458	2.1562

Value of GVSM for unknown loading at signal-to-noise ratio 0.5 db
	NR	FFBP	CFB	GR	LR	NARX	RBFN	ELMAN	FFDTD

Operating load 1.149	3.2212	1.6077	3.1262	3.2315	2.3469	1.9414	3.211	2.5832	2.4903
Operating load 1.339	2.8993	1.6576	2.9979	2.898	2.7348	2.206	2.8989	2.3297	2.6217
Operating load 2.2315	2.2657	2.5865	2.158	2.2754	3.2403	2.1797	2.265	2.917	2.2091
Operating load 2.4951	2.0474	3.1172	1.8	2.0411	3.2453	2.2748	2.047	2.4592	2.2027
Operating load 3.1591	1.3522	3.1185	1.3689	1.342	3.1761	2.1339	1.3492	2.0972	2.159

Value of GVSM for unknown loading at signal-to-noise ratio 0.05 db
	NR	FFBP	CFB	GR	LR	NARX	RBFN	ELMAN	FFDTD

Operating load 1.149	3.2212	1.4873	3.0989	3.23	2.644	1.8481	3.1988	2.6125	2.6644
Operating load 1.339	2.8993	1.7963	3.1318	2.9034	2.686	2.6166	2.8879	1.9629	2.6516
Operating load 2.2315	2.2657	2.4508	2.6347	2.2567	3.2917	2.2748	2.2552	2.3478	2.3044
Operating load 2.4951	2.0474	3.0864	1.8855	2.0361	3.2661	2.3683	2.011	1.819	2.3264
Operating load 3.1591	1.3522	3.1284	1.3836	1.379	3.1559	1.9611	1.3349	2.3348	2.1616