Lightning rod system: mathematical analysis using the rolling sphere method

In electrical protection, there is a method of protection buildings against atmospheric discharges called the electro-geometric or rolling sphere method. So far, it possible to achieve implementation this graphically, that is, representing through plans and technical drawings, conditions analyzed structure obtaining from these graphic representations parameters with consequent errors caused by scales dimensions work plane. present work, mathematical model obtained allows, using specific calculations, analyze dynamic behavior system without worrying about limitations given planes. The set equations in allows us determine different define (lightning) depending on graphical representation system's topology.