Table 3 Percentage error of estimated dominant modes in the 3-bus 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− 4 | System modes | ESPRIT | Kurtosis measure | mp×10− 4 | Prony | ||||
|---|---|---|---|---|---|---|---|---|---|
Estimated modes | % Error | Estimated modes | % Error | ||||||
Real | Imag | Real | Imag | ||||||
0.9 | −9.26 ± 45.674i | −9.22 ± 45.79i | 0.431 | 0.254 | 12.951 | 0.9 | −10.174 ± 47.504i | 9.87 | 4.0065 |
\(\:1.1\) | −8.2739 ± 52.382i | 8.965 | 2.61 | ||||||
\(\:1.35\) | −5.6602 ± 58.355i | 5.28 | 2.4351 | ||||||
1.1 | −7.593 ± 51.05i | −7.504 ± 51.16i | 1.17 | 0.215 | 7.6248 | Matrix pencil | |||
0.9 | −10.174 ± 47.504i | 9.87 | 4.0065 | ||||||
1.35 | −5.376 ± 56.97i | −5.201 ± 57.09i | 3.25 | 0.21 | 5.64 | \(\:1.1\) | −8.2739 ± 52.523i | 8.965 | 2.881 |
\(\:1.35\) | −5.6674 ± 58.356i | 5.42 | 2.43 | ||||||
Subspace Identification | |||||||||
0.9 | −9.97 ± 45.72i | 7.66 | 0.1 | ||||||
\(\:1.1\) | −8.2 ± 52.794i | 7.99 | 3.41 | ||||||
\(\:1.35\) | −5.81 ± 57.22i | 8.072 | 0.438 | ||||||
