Table 4 Percentage error of estimated dominant modes in the modified CIGRE MV benchmark for different active power droop gains using ESPRIT, Prony, Matrix Pencil, and SID techniques.
From: A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
mp ×10− 7 | System modes | ESPRIT | Kurtosis measure | mp×10− 7 | Prony | ||||
|---|---|---|---|---|---|---|---|---|---|
Estimated modes | % Error | Estimated modes | % Error | ||||||
Real | Imag | Real | Imag | ||||||
0.3 | −14.73 ± 31.15i | −14.4 ± 29.85i | 2.24 | 4.17 | 9.357 | 0.3 | −13.224 ± 33.064i | 10.22 | 6.14 |
0.4 | −13.109 ± 39.416i | 8.328 | 14.41 | ||||||
0.5 | −12.603 ± 44.854i | 9.97 | 13.78 | ||||||
0.4 | −14.3 ± 34.45i | −13.96 ± 34.85i | 2.37 | 1.16 | 8.9 | Matrix pencil | |||
0.3 | −13.22 ± 33.068i | 10.25 | 6.157 | ||||||
0.5 | −14 ± 39.42i | −13.2 ± 39.72i | 5.71 | 0.76 | 6.92 | 0.4 | −13.11 ± 39.416i | 8.321 | 14.41 |
0.5 | −12.618 ± 44.854i | 9.87 | 13.78 | ||||||
Subspace identification | |||||||||
0.3 | −13.987 ± 32.2811i | 5.04 | 3.63 | ||||||
0.4 | −13.321 ± 37.362i | 6.84 | 8.45 | ||||||
0.5 | −12.818 + 40.73i | 8.44 | 3.32 | ||||||
