A number of European countries (Germany, Austria, Switzerland, Czech Republic, Finland, etc.) use resonant earthed system. The effectiveness of arc suppression coils in the closing events in the network can be improved with further improvement of the automated control systems of arc suppression coils. This task can be realized through the use of mathematical models of the electrical network with arc suppression coils adequately reflecting the processes. The results presented in this paper are aimed at improving the accuracy of the simulation of radial network steady state mode with arc suppression coils based on asymmetry of the power lines. The mathematical model should be used for detailed analysis of the steady-state modes of 35 kV radial network with arc-suppression coils. The model includes: assessment of voltage quality indicators, arcing validation of arc suppression coils adjustment, the formation of reliable initial conditions for calculating the overload in the single phase-to-earth faults.