Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation

Shigeki Hirasawa, Tsuyoshi Kawanami, Katsuaki Shirai

研究成果: Conference contribution

抄録

Precise temperature control under noise-temperature change is required in high-precision manufacturing process. We analytically study the model predictive control to minimize temperature change at multi object positions in a two-dimensional vertical plate with varying noise-heat-generations. The noise-heatgenerations are that the heating-ON and OFF every 300 s, and it makes temperature change of 2.5° at the object positions in the plate without control. Control-heaters in the plate are controlled with the model predictive control method to minimize temperature change at the object positions. In this work, we study the method to minimize temperature change at the multi object positions in the plate without increasing number of the control-heaters. We found that temperature changes at the multi positions can be minimized, when heating rate distribution of the control-heaters is determined so that the steady temperature distribution at the control-heaters for only heating of the control-heat-generation comes close to that for only heating of the noise-heat-generation. Change of the object temperature at the multi positions using this method is 0.03°, which is 1/5 times smaller than that with uniform heating rate of the control-heaters (0.16°) and 1/80 times smaller than that without control (2.5°). We also study the effect of artificial error in the dynamic predictive model for one object position. Error in the dynamic predictive model causes various patterns of temperature change at the object position such as periodical error and oscillation error.

元の言語English
ホスト出版物のタイトルProceedings of the 15th International Heat Transfer Conference, IHTC 2014
出版者Begell House Inc.
出版物ステータスPublished - 2014
外部発表Yes
イベント15th International Heat Transfer Conference, IHTC 2014 - Kyoto, Japan
継続期間: 2014 8 102014 8 15

Other

Other15th International Heat Transfer Conference, IHTC 2014
Japan
Kyoto
期間14/8/1014/8/15

Fingerprint

heat generation
Heat generation
Model predictive control
heaters
Temperature
heating
temperature
Heating rate
Heating
dynamic models
Temperature control
noise temperature
temperature control
Temperature distribution
temperature distribution
manufacturing
oscillations
causes

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics

これを引用

Hirasawa, S., Kawanami, T., & Shirai, K. (2014). Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation. : Proceedings of the 15th International Heat Transfer Conference, IHTC 2014 Begell House Inc..

Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation. / Hirasawa, Shigeki; Kawanami, Tsuyoshi; Shirai, Katsuaki.

Proceedings of the 15th International Heat Transfer Conference, IHTC 2014. Begell House Inc., 2014.

研究成果: Conference contribution

Hirasawa, S, Kawanami, T & Shirai, K 2014, Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation. : Proceedings of the 15th International Heat Transfer Conference, IHTC 2014. Begell House Inc., 15th International Heat Transfer Conference, IHTC 2014, Kyoto, Japan, 14/8/10.
Hirasawa S, Kawanami T, Shirai K. Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation. : Proceedings of the 15th International Heat Transfer Conference, IHTC 2014. Begell House Inc. 2014
Hirasawa, Shigeki ; Kawanami, Tsuyoshi ; Shirai, Katsuaki. / Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation. Proceedings of the 15th International Heat Transfer Conference, IHTC 2014. Begell House Inc., 2014.
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N2 - Precise temperature control under noise-temperature change is required in high-precision manufacturing process. We analytically study the model predictive control to minimize temperature change at multi object positions in a two-dimensional vertical plate with varying noise-heat-generations. The noise-heatgenerations are that the heating-ON and OFF every 300 s, and it makes temperature change of 2.5° at the object positions in the plate without control. Control-heaters in the plate are controlled with the model predictive control method to minimize temperature change at the object positions. In this work, we study the method to minimize temperature change at the multi object positions in the plate without increasing number of the control-heaters. We found that temperature changes at the multi positions can be minimized, when heating rate distribution of the control-heaters is determined so that the steady temperature distribution at the control-heaters for only heating of the control-heat-generation comes close to that for only heating of the noise-heat-generation. Change of the object temperature at the multi positions using this method is 0.03°, which is 1/5 times smaller than that with uniform heating rate of the control-heaters (0.16°) and 1/80 times smaller than that without control (2.5°). We also study the effect of artificial error in the dynamic predictive model for one object position. Error in the dynamic predictive model causes various patterns of temperature change at the object position such as periodical error and oscillation error.

AB - Precise temperature control under noise-temperature change is required in high-precision manufacturing process. We analytically study the model predictive control to minimize temperature change at multi object positions in a two-dimensional vertical plate with varying noise-heat-generations. The noise-heatgenerations are that the heating-ON and OFF every 300 s, and it makes temperature change of 2.5° at the object positions in the plate without control. Control-heaters in the plate are controlled with the model predictive control method to minimize temperature change at the object positions. In this work, we study the method to minimize temperature change at the multi object positions in the plate without increasing number of the control-heaters. We found that temperature changes at the multi positions can be minimized, when heating rate distribution of the control-heaters is determined so that the steady temperature distribution at the control-heaters for only heating of the control-heat-generation comes close to that for only heating of the noise-heat-generation. Change of the object temperature at the multi positions using this method is 0.03°, which is 1/5 times smaller than that with uniform heating rate of the control-heaters (0.16°) and 1/80 times smaller than that without control (2.5°). We also study the effect of artificial error in the dynamic predictive model for one object position. Error in the dynamic predictive model causes various patterns of temperature change at the object position such as periodical error and oscillation error.

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