Research Article
Hydrodynamics and Tidal Turbine Generator Stability Analysis in Several Wave Variations
Table 2
The eigenvalues at some equilibrium points.
| | Test point (ωr, Id, Iq) | Eigen real number | Eigen imaginary number | Stability note |
| | (−81.68, 0, 0) | 0.0162 | 0 | Not stable | | −5.2003 × 10−3 | −4.9009 × 103 | Not equilibrium | | −5.2003 × 10−3 | 4.9009 × 103 | Extreme point |
| | (0, 0, 0) | — | — | Not defined by division by zero |
| | (81.68, 0, 0) | 0.0162 | 0 | Not stable | | −5.2003 × 10−3 | −4.9009 × 103 | Not equilibrium | | −5.2003 × 10−3 | 4.9009 × 103 | Extreme point |
| | (1.9777 × 10−10 − 8.6672 × 10−5i, 2.3766 × 105 − 1.9116 × 10−13i, 5.4230 × 10−1 + 2.3766 × 105i) | −0.0052 | 0 | Asymptotically stable | | −0.0104 | 0 | Equilibrium point | | −1.7021 × 1010 | 7.7680 × 104 | |
| | (1.9777 × 10−−10 + 8.6672 × 10−5i, 2.3766 × 105 + 1.9116 × 10−13i, 5.4230 × 10−1 − 2.3766 × 105i) | −0.0052 | 0 | Asymptotically stable | | −0.0104 | 0 | Equilibrium point | | −1.7021 × 1010 | −7.7680 × 104 | |
| | (−1.9777 × 10−10 + 2.0645 × 102i, −0.0078, −1.91161 × 10−13 + 9.4334 × 10−8i) | 1.2387 × 104 | 1.8712 × 10−8 | Not stable | | −0.0060 | 0 | Equilibrium point | | −1.2387 × 104 | −1.8712 × 10−8 | |
| | (−1.9777 × 10−10 − 2.0645 × 102i, −0.0078, −1.91161 × 10−13 − 9.4334 × 10−8i) | 1.2387 × 104 | −1.8712 × 10−8 | Not stable | | −0.0060 | 0 | Equilibrium point | | −1.2387 × 104 | 1.8712 × 10−8 | |
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