Analysis of Voltage Violation Based on Extreme Value Theory

In this paper, we present a novel method about voltage violation for distribution networks under high stochastic load penetration. The proposed method combines extreme value theory (EVT) with Cornish Fisher series and semi invariants. In this method, the generalized extreme value (GEV) distribution directly fits the node injection load which avoids the influence of the correlation between various loads, and has the characteristic of small data demand. The efficacy of the proposed approach has been illustrated by an example analysis in the IEEE33 node system.