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Table 2 Relative stability and minimum damping ratio for xe = 0.8 Ω with P and Q in p.u

From: Design of a robust PID-PSS for an uncertain power system with simplified stability conditions

Q P = 0.2 P = 0.4 P = 0.6 P = 0.8 P = 1 P = 1.2
Relative Stability(σmax)
−0.4 −1.1226 − 1.1529 − 1.1026 − 1.0545 − 1.0095 − 0.9677
−0.2 − 1.1544 −1.2014 − 1.1926 −1.1665 − 1.1344 −1.1007
0 −1.3007 −1.2934 − 1.2883 −1.2727 − 1.2499 −1.2233
0.2 −1.6075 −1.4763 − 1.4277 −1.3995 − 1.3744 −1.3488
0.4 − 2.0210 −1.7552 − 1.6261 − 1.5623 −1.5208 − 1.4877
Minimum damping ratio (ζmin)
  P = 0.2 P = 0.4 P = 0.6 P = 0.8 P = 1 P = 1.2
−0.4 0.4378 0.4330 0.4285 0.4241 0.4196 0.4153
−0.2 0.5121 0.4497 0.4327 0.4246 0.4193 0.4150
0 0.5773 0.4931 0.4534 0.4353 0.4251 0.4184
0.2 0.5234 0.5384 0.4801 0.4515 0.4352 0.4248
0.4 0.4986 0.5725 0.5063 0.4690 0.4470 0.4329