The aim of this paper was to create a MATLAB program that calculates the impedance of the contact network based on input electrical parameters. In the first chapters we have defined what the contact network is, what is its role in electrification of the railways, which are its basic elements, advantages and disadvantages, and what are the problems faced by such systems. Later, we moved to the theoretical outlines from which we have the formula for manual calculation of impedance based on some of the parameters of the contact network. In the last chapters, based on the manual task solving algorithm, we have developed a MATLAB software code that simply, safely and much faster gives us the solutions we have gotten manualy, and now we have the option to enter different network contact parameters without too much modification in the code in the purpose of obtaining instant and accurate solutions (provided that we have entered the correct parameters) without a repetitive and longlasting manual solution that poses a high likelihood of error.