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| Titel: |
MODES, STATE VARIABLES, AND LOCAL BIFURCATIONS IN POWER SYSTEM DYNAMICS |
| Auteur: |
Hamdan, A. M. A. |
| Verschenen in: |
Electric power components & systems |
| Paginering: | Jaargang 21 (1993) nr. 2 pagina's 241-255 |
| Jaar: |
1993-03-01 |
| Inhoud: |
This paper aims at identifying the physical nature of local bifurcations in power system dynamics. Each local bifurcation is associated with a mode of the linearized model around an equilibrium point. The eigenvalue corresponding to this mode can be linked to the state variables of the linearized model. Energy propagation arguments are used to define measures of coupling between a mode and state variables. These arguments are also related to the quantification of observability and controllability of modes. Coupling measures based on the above arguments and calculated from the entries of right and left eigenvectors of the state matrix are used to associate a mode to one or more of the state variables. A troublesome or critical mode crosses into the right half plane as a given parameter is varied. The mode is related to a bifurcation, and is coupled to some state variables. Thus a link is established between the bifurcation and the state variables, and since the state variables of the models of power systems have a physical meaning, the link is made through them to components of the system. We study a fourth order system which exhibits voltage collapse. We show that the real mode associated with the bifurcation is strongly coupled to the voltage magnitude at the load node. We also study a single-machine infinite busbar system which exhibits a Hopf bifurcation. A multimachine power system is also considered where more than one Hopf bifurcation is exhibited. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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