Thermal welding systems are widely used in industrial applications such as packaging machinery, food manufacturing machinery, injection molding machinery, and chemical plants. In these machines, the modeling of the thermal welding system is important to control the temperature with high accuracy. The actual thermal welding system is a distributed parameter system. When implementing the actual machine, it is generally used to approximate a lumped parameter system. However, the optimal approximation such as the selection of necessary and sufficient order to a lumped parameter system is difficult. This paper proposes an abstraction method for the thermal welding system based on an element-description method. The proposed method can abstract the necessary and sufficient model. Therefore, it is possible to design a highly accurate control system according to requirements.
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