Optimal Coordinated Design of Multiple Damping Controllers Based on PSS and UPFC Device to Improve Dynamic Stability in the Power System

Table 6

System eigenvalues of the coordinated designs between different UPFC-POD controllers.

𝑚𝐸 & 𝛿𝐸	𝑚𝐵 & 𝛿𝐵	𝑚𝐸 & 𝑚𝐵	𝛿𝐸 & 𝛿𝐵	𝑚𝐸 & 𝛿𝐵	𝑚𝐵 & 𝛿𝐸
−𝟒.𝟕𝟏±𝐣𝟕.𝟎𝟒	−𝟐.𝟖𝟓±𝐣𝟓.𝟏𝟖	−𝟏.𝟕𝟏±𝐣𝟑.𝟎𝟐	−𝟏.𝟒𝟔±𝐣𝟐.𝟑𝟏	−𝟐.𝟑𝟗±𝐣𝟔.𝟑𝟓	−𝟒.𝟕𝟒±𝐣𝟓.𝟏
𝜻𝐄𝐌=𝟎.𝟓𝟓𝟔𝟏	𝜻𝐄𝐌=𝟎.𝟒𝟖𝟐	𝜻𝐄𝐌=𝟎.𝟒𝟗𝟐𝟕	𝜻𝐄𝐌=𝟎.𝟓𝟑𝟒𝟑	𝜻𝐄𝐌=𝟎.𝟑𝟓	𝜻𝐄𝐌=𝟎.𝟔𝟖𝟎𝟖
−5.1±𝑗7.33	−2.71±𝑗5.04	−5.39±𝑗10.01	−1.37±𝑗2.09	−4.24±𝑗4.93	−5.7±𝑗6.08
−10.97±𝑗11.2	−3.66±𝑗4.51	−2±𝑗4.23	−4.24±𝑗4.93	−2.96±𝑗5.68	−4.9±𝑗5
−16.17±𝑗2.23	−10±𝑗3.01	−1.9±𝑗3.46	−2.48±𝑗4.15	−3.22±𝑗7.25	−6.29±𝑗8.17
−5.83±𝑗5.89	−24.85	−10±𝑗2.13	−10±𝑗2.18	−10±𝑗4.03	−23.73
−6.46±𝑗8.25	−20.26	−28.96	−20.33	−20.33	−16.3
−19.87	−19.38	−19.87	−19.76	−19.76	−19.83
−0.2	−0.88	−0.71	−18.75	−18.46	−20
−20	−0.36	−0.2	−0.2	−0.2	−10
−20	−0.2	−20	−20	−20	−10
	−20	−20	−20	−20	−0.2
	−20				−20