Reliability sensitivity of wind power system considering correlation of forecast errors based on multivariate NSTPNT method

Protection and Control of Modern Power Systems

Table 3 Relative error of sensitivity (%)

ρ_Y12		0.1	0.2	0.3	0.4	0.5
\( \frac{\partial \mathrm{LOLP}}{\partial \mu } \)	W1	16.767	33.241	49.651	67.417	83.338
\( \frac{\partial \mathrm{LOLP}}{\partial \mu } \)	W2	5.953	12.031	18.130	23.736	30.004
\( \frac{\partial \mathrm{LOLP}}{\partial \sigma } \)	W1	12.280	26.543	40.970	59.068	79.098
\( \frac{\partial \mathrm{LOLP}}{\partial \sigma } \)	W2	1.917	4.365	7.502	10.460	14.517
\( \frac{\partial \mathrm{EDNS}}{\partial \mu } \)	W1	18.534	32.345	51.729	67.183	73.617
\( \frac{\partial \mathrm{EDNS}}{\partial \mu } \)	W2	5.386	12.365	17.402	23.819	33.965
\( \frac{\partial \mathrm{EDNS}}{\partial \sigma } \)	W1	13.221	26.500	43.055	61.242	66.954
\( \frac{\partial \mathrm{EDNS}}{\partial \sigma } \)	W2	1.895	4.406	7.678	11.001	16.962