Abstract: Embodiments of a system for controlling the position of an electrode in an arc furnace comprise an arc furnace comprising a molten bath and slag disposed over the molten bath, wherein the slag contacts the molten bath at an interface. The system further comprises an electrode comprising a lower tip, wherein the electrode is configured to deliver current by disposing the lower tip of the electrode below the upper surface of the slag. The current is substantially directed through the slag to the interface. The system also comprises a control system configured to determine the position of the lower tip of the electrode relative to the upper surface of the slag based on harmonic frequencies associated with the current, wherein the lower tip position relative to the upper surface of the slag correlates to the harmonic frequencies.