An analytical consideration on the striking probability and the total amount of strikes to simple structures according to standardized regulations

This document presents an analytical approach to calculate the interception probability and the number of strikes into simple structures, to be expected as a result of a given ground flash density. The methodology is based on the approach of a dynamic electro-geometrical model (DEGM) and complies with the parameters and requirements expressed in the standard IEC 62305. Although there are previous simulation results from discretized standardized structures, it is the authors´ aim to present a very accurate and precise solution, which has no dependency on discretization or simplification. The analytic results can be used as a benchmark to evaluate results from computer based simulations. In this elaboration the striking probability of three different arrangements are investigated. A single lightning rod with different heights is achieved and compared to published measurements in Czechoslovakia from 1959 to 1985. Furthermore a standardized structure and a hemisphere are analyzed in order to evaluate computer simulation methodologies. Finally a new simulation method is introduced and a complex structure is investigated.