Rolling system

A rolling system comprising:

• an induction heater which heats a material that is conveyed by a conveying table;
• a first temperature detector which detects a first temperature of the material at a first position upstream from the induction heater;
• a finishing mill which is provided downstream from the induction heater, and rolls the material;
• a second temperature detector which detects a second temperature of the material at a second position downstream from the induction heater and upstream from the finishing mill;
• and
• a power setting calculation device which includes circuitry, wherein the circuitry:
• generates a temperature distribution pattern in a plate thickness direction of the material at the first position, based on the temperature detected by the first temperature detector;
• calculates a volume average temperature of the material at the second position, at a time when the material moves to the second position from the first position, based on the generated temperature distribution pattern;
• and
• calculates an electric power necessary for the induction heater so that the calculated volume average temperature follows a target temperature of the material at the second position, wherein the circuitry:
• divides the material into nodes in the plate thickness direction;
• calculates a change of a temperature of each node based on radiation cooling, escape of heat due to air convection, escape of heat to a table roll of the conveying table, heat conduction occurring due to a temperature difference between the node and its adjacent node, and a change of a calorific value from the induction heater;
• and
• calculates, based on the calculated result, the volume average temperature of the material corresponding to a value obtained by dividing a sum of products of a volume and a temperature of each node by a sum of volumes of each node.