Research Article
Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect
Table 1
Changes of system properties with the bifurcation parameter
.
| Bifurcation parameter | < | = = 0.313 | < < | = = 2.036 | > |
| Jacobi matrix eigenvalues | Two complex conjugate eigenvalues, negative real part one and positive real part one |
| Two complex conjugate eigenvalues with negative real parts |
| Two complex conjugate eigenvalues, negative real part one and positive real part one |
| Property | Stable limit cycle | center of bifurcation in a supercritical state | Stable focus, stable domain | Center of bifurcation in a supercritical state | Stable limit cycle |
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