As it is known, the thunderstorm clouds contain the charged subsystems. These subsystems create high electric fields of the orders of 100 kV/m. Such fields may promote to generating of intense wind flows in the atmosphere and strengthening weak vortices. Therefore, for the correct description of the charged subsystems role in the formation and subsequent dynamics of atmospheric vortex, it is necessary to analyze the structural characteristics of the electric fields in thunderstorm. In this paper, based on experimental data analysis of structural features of electrical turbulence is performed in the case of large splash of vertical electric field profile in thunderstorm at altitudes z < 12 km. It is investigated the inertial ranges of electrical turbulence and it is obtained scaling exponents, Hurst index values and kurtosis in them. Deviations of structural functions from the power-scaling law are identified in the inertial ranges. The analysis has shown that a generalized scale invariance of electrical turbulence does not hold for intervals of small scales and medium ones. It may be associated with intermittency of electric turbulence and the presence of coherent electrical structures. The results obtained can be used for subsequent assessments of the electrical subsystems role in the generation of self-consistent, essentially inhomogeneous structure of wind flows in atmospheric vortices, for a numerical simulation of nonlinear dynamics using parameterization schemes that take into account the electrical subsystem of vortices, as well as to identify opportunities on the vortex dynamics. Moreover, it is of interest to further develop methodologies for processing of atmospheric vortices remote sensing, more completely and correctly interpretation of the physical results of experimental data processing.