Heterogeneous Characteristics of Power Flow and Its Mathematical Representation Based on Gini Coefficient

Abstract

The heterogeneous characteristics of the components of complex power grids in terms of operating conditions, grid structure, status, etc., will play a negative role in fuel grid cascading failures, thus posing a serious threat to grid security. This paper analyzes the heterogeneity of complex power grids in terms of tidal current operation, mainly as the trend distribution curve exhibits exponential and power-law characteristics in semi-logarithmic and double-log curves. Based on the Lorentz curve and the Gini coefficient concept in economics, it is proposed that the Gini coefficient can be used as a characterization index for the heterogeneity of tidal current distribution.