2012 IEEE Power and Energy Society General Meeting 2012
DOI: 10.1109/pesgm.2012.6345574
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A probabilistic model for the dynamics of cascading failures and blackouts in power grids

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Cited by 28 publications
(18 citation statements)
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“…In the past two decades, researchers have exerted considerable efforts in modeling and understanding cascading failures in power systems. Among such efforts is the class of probabilistic models [2], [4]- [5] [6] [7]. However, many of the existing probabilistic models suffer from a disconnect between the parameters of the abstract models they employ and the physical and operating characteristics of the system.…”
mentioning
confidence: 99%
“…In the past two decades, researchers have exerted considerable efforts in modeling and understanding cascading failures in power systems. Among such efforts is the class of probabilistic models [2], [4]- [5] [6] [7]. However, many of the existing probabilistic models suffer from a disconnect between the parameters of the abstract models they employ and the physical and operating characteristics of the system.…”
mentioning
confidence: 99%
“…Among such works is the category of probabilistic models, which, for instance, include models based on branching processes [3], Markov chains [4], [5], regeneration theory [6], and so forth. For instance, in [6] we developed a scalable probabilistic approach based on regeneration theory and a reduced state space of the power grid to model the dynamics of cascading failures in time. The transition rates among the states of the model are defined to be state and age dependent, and their functional forms are calculated empirically from power-system simulations.…”
Section: Section II Related Workmentioning
confidence: 99%
“…This proves the general case in Theorem 1. Based on the structure of the presented IDMC model, there are three special cases that the coefficients do not follow the general case presented in (6). This is because certain states do not have all the previous states that we used in the derivation of the above difference equations.…”
Section: Appendix Proof Of Theoremmentioning
confidence: 99%
“…There are a lot of actual cases demonstrating the feasibility of this approach. For example, in [18], the author simulated a cascading failure by using an IEEE 118-bus model in MATPOWER (MATLAB Power System Simulation Package). Assuming that ineffective communication related to the uncontrolled load, the model of coupling communication and power system is simplified as a pure power system with the coefficient load, which means the load multiplies the controllable ratio under the failures of communication.…”
Section: B Modeling On Single Simulation Toolmentioning
confidence: 99%