
The proximity of power systems to voltage collapse can be calculated for any of the buses using to the theory of bifurcation and multiple solutions to power flow behavior, in terms of system indicators such as real and reactive power. These indicators can be measured to identify voltage collapse. The application of topology space theory for describing voltage collapse phenomena is effectively demonstrated. The bifurcation points that cause system degradation are detected by evaluating the singularity of power flow Jacobian matrix. The controllability of vulnerable buses is evaluated and network flow limit is calculated to provide early detection warning for planners and operators. The procedure is demonstrated on several power systems. The procedure has been successfully tested on practical power systems, for example, the IEEE-118-bus system. Results obtained, especially with static models, show good correspondence with existing results and indicate some superior features. >
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
