A novel method for analysis of V-transmission lines

In this paper, a new analytical method called Staircase Approximation is presented for static analysis of structures with arbitrary shapes. As an example, this method has been used to obtain the potential distribution of V Transmission Line. The complex boundary of this structure is subdivided into an arbitrary number of uniform (or non-uniform) steps, and then 2-D Laplace's equation has been solved in each section. The Finite Element Method (FEM) is employed to achieve the best lengths of these steps. Finally, the results of the potential distributions of some layers in the V structure have been verified with an apt numerical method. Relative formulas are also described. Although, some approximations are used to convert the V-shape part to a multi step one, both results are in good agreement. The most important advantages of this method compared to its rivals are its simplicity and accuracy that comes from the ability to break down a complex structure into some simpler ones.