Mathematical modeling for analysis and design of LPS: Angle method

This paper presents a mathematical approach in the utilization of the Angle Method for design and analysis of a LPS - Lightning Protection System. This approach involves: a mathematical modeling to determine the Protection Angles (this modeling does not assess the merit and the criteria which determined the curves illustrated in Fig. 1 (see section 5.2.2 from [1]); the connection existent between the two methods: the Rolling Spheres Method and the Angle Method, to size protection systems against the direct incidence of atmospheric discharges on structures; the correlation between the distance of protection on the reference surface in function of the height and the Class of LPS and ends with a practical use of the modeling developed, associated with a mathematical approach to the angle method.