Table 6 Percentage error in estimating dominant modes at different X/R ratios and active power droop gains for the 3-bus benchmark.
From: A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
mp× 10− 4 | X/R ratio | System modes | Estimated modes | % Error Real | % Error Imag | Kurtosis measure |
|---|---|---|---|---|---|---|
1.1 | Unchanged (reference case) | −7.59 ± 51.05i | −7.504 ± 51.16i | 1.17 | 0.215 | 7.6248 |
1.35 | −5.37 ± 56.97i | −5.201 ± 57.09i | 3.25 | 0.21 | 5.64 | |
1.1 | Line 1 X/R Increased by 20% | −8.56\(\:\pm\:\)50.05i | −8.508 ± 50.4i | 0.607 | 0.699 | 9.31 |
1.35 | −6.5544\(\:\pm\:\) 56i | −6.686 ± 56.12i | 2.0078 | 0.214 | 6.6 | |
1.1 | Line 2 X/R Increased by 20% | −7.516\(\:\pm\:\)50.7i | −7.596 ± 50.86i | 1.064 | 0.3155 | 8.3 |
1.35 | −5.31\(\:\pm\:\)56.58i | −5.198 ± 56.76i | 2.109 | 0.318 | 5.7 | |
1.1 | Line 1 X/R decreased by 20% | −6.48\(\:\pm\:52.04\)i | −6.397 ± 52.44i | 1.28 | 0.768 | 7 |
1.35 | −4.04\(\:\pm\:57.87\)i | −3.87 ± 58.078i | 4.207 | 0.359 | 4.56 | |
1.1 | Line 2 X/R decreased by 20% | −7.64\(\:\pm\:51.54\)i | −7.61 ± 51.79i | 0.392 | 0.485 | 8.33 |
1.35 | −5.38\(\:\pm\:57.55\) i | −5.287 ± 57.58i | 1.72 | 0.052 | 5.73 |
