Table 5 Percentage error of estimated dominant modes in the 34-bus microgrid 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 | ||||||
0.5 | −5.63 ± 10.612i | −5.5748 ± 10.67i | 0.98 | 0.546 | 4.0043 | 0.5 | −5.4713 ± 10.23i | 2.818 | 3.59 |
0.8 | −4.3018 ± 13.559i | 0.98 | 2.17 | ||||||
1.1 | −3.3729 ± 15.928i | 5.52 | 1.019 | ||||||
0.8 | −4.26 ± 13.27i | −4.282 ± 13.557i | 0.51 | 2.162 | 5.3532 | Matrix pencil | |||
0.5 | −5.4674 ± 10.227i | 2.889 | 3.627 | ||||||
1.1 | −3.57 ± 16.092i | −3.485 ± 16.24i | 2.38 | 0.919 | 5.5959 | 0.8 | −4.3021 ± 13.559i | 0.988 | 2.17 |
1.1 | −3.3728 ± 15.928i | 5.52 | 1.019 | ||||||
Subspace identification | |||||||||
0.5 | −5.716 ± 11.161i | 1.5275 | 5.1733 | ||||||
0.8 | −4.336 ± 13.706i | 1.784 | 3.285 | ||||||
1.1 | −3.738 ± 16.462i | 4.705 | 2.299 | ||||||
