Transient behavior in grounding systems related to electric arc furnaces (EAF) might be studied using an approach to Kron's circuit model to solve Maxwell's differential equations in electromagnetic field theory. This paper presents a circuit model designed using Kron's approach implemented in alternative transient program (ATP). The model is suitable to describe accurately the behavior of real complex grounding systems dealing with continuous operation of an EAF. Some ideas about the behavior of the power quality are evaluated by simulation of the grounding system in ATP.