Using MathCad environment to calculate leakage currents and power basis on percolation models

This work presents the design and analysis of percolation models for branches and nodes in networks created using electric circuits. Electric circuits were built using square networks consisting of appropriate resistance and impedance elements, as well as of power supply sources. The created percolation models were described mathematically, according to the Maxwell matrix method of cyclic current in the classical form and in the complex number form. Analytical descriptions of electric circuits include random methods of "short-circuiting" branches and creation of “filled” nodes, respectively, in the networks using appropriate calculation procedures in Mathcad. Simulation calculations of surface leakage current for a polymer sample were made using a model of its surface (percolation for a branch in the network) and a numerical program developed on the basis of calculation procedures contained in Mathcad. On the other hand, simulation calculations of power emitted on the surface of a cylindrical insulator performed using its surface model (percolation for nodes in the network) and a numerical program written in the Mathcad environment.