| Title |
An Analysis of the Optimal Control of Air-Conditioning System with Slab Thermal Storage by the Gradient Method Algorithm |
| Keywords |
슬래브 축열 ; 최적뱅뱅제어 ; 구배법 ; 해석해 ; 수치해 Slab thermal storage ; Optimal bang-bang control ; Gradient method ; Analytic solution ; Numeric solution |
| Abstract |
In this paper, the optimal bang-bang control problem of an air-conditioning system with slab thermal storage was formulated by gradient method. Furthermore, the numeric solution obtained by gradient method algorithm was compared with the analytic solution obtained on the basis of maximum principle. The control variable is changed uncontinuously at the start time of thermal storage operation in an analytic solution. On the other hand, it is showed as a continuous solution in a numeric solution. The numeric solution reproduces the analytic solution when a tolerance for convergence is applied severely. It is conceivable that gradient method is effective in the analysis of the optimal bang-bang control of the largescale system like an air-conditioning system with slab thermal storage. |