An arc furnace comprising at least at least one electrode, comprising an electrode current detection device for detecting an electrode current supplied to the at least one electrode, comprising structure-borne sound sensors for detecting structure-borne sound oscillations of an enclosure of the arc furnace, and comprising a device for at least one of regulating and control, the device comprising:
- a non-transitory machine-readable program code which has control commands which when executed:
- uses a model for enforced oscillations to determine a measured of a mass of part of a solid material that is caked on an enclosure of the arc furnace, including:
- generating a current evaluation signal based on a detected current supplied to the at least one electrode,
- generating an oscillation evaluation signal based on detected sound oscillations of the enclosure,
- determining a phase shift between the current evaluation signal and the oscillation signal at one or more frequencies, and
- calculating the measure of the mass of the part of the solid material that is caked on the enclosure based on the determined phase shift determined, and
- at least one of control or regulate a process variable of the arc furnace based on the determined measure of the mass,
- the electrode current detection device and the structure-borne sound sensors being operatively connected to the device.