Table 7 Percentage error in estimating dominant modes at different X/R ratios for the modified CIGRE MV benchmark.

From: A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids

mp× 10− 7

X/R ratio

System modes

Estimated modes

% Error Real

% Error Imag

Kurtosis measure

0.7

Unchanged (reference case)

−13.33 ± 47.96i

−12.427 ± 48.45i

6.77

1.02

11.67

0.7

Line 6 X/R

Increased by 50%

−12.364 ± 52.4i

−12.505 ± 48.95i

1.14

6.583

12.34

0.7

Line 3 X/R

Increased by 50%

−13.33 ± 47.96i

−12.394 ± 48.421i

7.02

0.96

11.68

0.7

Line 2 X/R

decreased by 50%

−12.08 ± 53.84i

−11.207 ± 53.87i

7.22

0.055

11.343

0.7

Line 12 X/R

decreased by 50%

−12.075 ± 53.82i

−11.276 ± 53.735i

6.61

0.157

10.783