Nonlinear model reduction for simulation and control of temperature distribution in air conditioned rooms
In this paper, we propose a fast simulation method for the dynamic models of temperature distributions in air conditioned rooms. The finite volume method (FVM) is used for the spatial and temporal discretization of the infinite dimensional temperature distributions. The high order of the obtained linear ordinary differential equations (ODE), which equal to the number of cells used for the discretization, is further reduced by proper orthogonal decomposition (POD) method. POD modes are constructed by the method of snapshots in this study. Karhunen-Loeve (Galerkin) projections are used to project the temperature distribution onto the selected POD modes. The resulting finite-dimensional dynamical model in state-space form is suitable for the real-time temperature control. One example is provided to demonstrate the applicability of the proposed technique.
POD temperature distribution FVM state-space PID
Kangji Li Hongye Su Jian Chu
Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, P. R. China School of Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1301-1306
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）