A Study on the Optimal Control Strategy of Air-Conditioning System with Slab Thermal Storage - Results Influenced by the Choice of a Criterion Function -

슬래브축열의 최적제어방책에 관한 연구 -평가함수의 선택이 결과에 미치는 영향-

  • Jung, Jae-Hoon (Advanced Building Science and Technology Research Center, Yonsei University) ;
  • Shin, Young-Gy (Department of Mechanical Engineering, Sejong University)
  • 정재훈 (연세대학교 건축과학기술연구소) ;
  • 신영기 (세종대학교 기계공학과)
  • Published : 2006.11.10

Abstract

An optimal control of an air-conditioning system with slab thermal storage is investigated by making use of the Maximum Principle. An optimal heat input to a plenum chamber and an air-conditioned room is determined by minimizing a criterion function which is given as integral sum of two terms. The first term is the square of the deviation in the room air temperature from the set-point value, and the second is the absolute value of the heat input. The result indicates that it tries to keep a room air temperature in set-point value by heating as much as possible at the time of a setup of a room air temperature or just before that, in order to avoid a heat loss arising at the time of the non-air conditioning. The result is compared with that of the case when the square of the heat input is used as a criterion.

Keywords

References

  1. Shinkai, K. I., Kasuya, A. and Kato, M. H., 2000, Performance evaluation of floor thermal storage system, ASHRAE Transactions, Vol. 106, No.1, pp.311-316
  2. Roh, H. W. and Udagawa, M. H., 2001, Simulation study on the performance of a fabric heat storage system, Transactions of AIJ, No. 544, pp.31-38
  3. Lim, J. H., Lee, S. R., Cha, Y. R., Chung, K. S. and Yee, J. J, 2003, A study on the indoor environment characteristics of air conditioning system with thermal storage capacity in slab - In the case of winter heating only, Proceedings of the SAREK 2003 Summer Annual Conference, pp. 1017-1022
  4. Jung, J. H. and Shin, Y. G., 2005, An Experimental study on thermal storage performance of an air conditioning system with slab thermal storage, Korean Journal of Air-Conditioning and Refrigeration Engineering, Vol. 17, No.5, pp.427-435
  5. lung, J. H., Rokoi, S.I. and Urabe, W., 1999, Fundamental study into optimized control for air-conditioning system with floor thermal storage based on optimal control theory, Transactions of AIJ, No. 520, pp.33-39
  6. Jung, J. H. and Shin, Y. G., 2006, A study on the optimal control strategy of air-conditioning system with slab thermal storage, The difference by the presence of radiant heat as a criterion factor, Korean Journal of Air-Conditioning and Refrigeration Engineering, Vol. 18, No.4, pp.287-296
  7. Kwakernaak, H. and Sivan, R., 1972, Linear optimal control systems, Wiley Interscience
  8. Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V. and Mishchenko, E. F., 1986, L. S. Pontryagin selected works, Volume 4, The mathematical theory of optimal processes, Gordon and Breach Science Publishers
  9. Jung, J. H., 2004, Fundamental study into optimized control for air-conditioning system with floor thermal storage, Ph.D. thesis, University of Kyoto, Kyoto, Japan