We study the effects of renewable sources in power grids by considering fluctuating sources in the DC power flow model of electric grids. We show that this simplified model is able to reproduce the statistics of power imbalances in the case of the Italian power system. We then apply such model to a simplified cascading scenario where only thermal line trippings are considered. We find that in this scenario black-outs have the characteristics of a first-order transition; moreover, the introduction of fluctuating power sources enlarges the first-order critical point to a finite region of coexistence among a functioning grid and a global failure state. Our numerical findings are supported by a mean-field analysis of the model.
Self Healing Percolation
Antonio Scala
2015
Abstract
We study the effects of renewable sources in power grids by considering fluctuating sources in the DC power flow model of electric grids. We show that this simplified model is able to reproduce the statistics of power imbalances in the case of the Italian power system. We then apply such model to a simplified cascading scenario where only thermal line trippings are considered. We find that in this scenario black-outs have the characteristics of a first-order transition; moreover, the introduction of fluctuating power sources enlarges the first-order critical point to a finite region of coexistence among a functioning grid and a global failure state. Our numerical findings are supported by a mean-field analysis of the model.| File | Dimensione | Formato | |
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