Optimal Steady-State Temperature Field in an Experimental Annealing Furnace. Issue 20 (2016)

• Record Type: Journal Article
• Authors: Jadachowski, L.; Steinboeck, A.; Kugi, A.
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 20(2016)
• Page Start: 214
• Page End: 219
• Publication Date: 2016
• Subjects: Optimal operating point -- Distributed-parameter systems -- Elliptic quasilinear PDE -- Model reduction -- FE method -- Non-equidistant grid; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.10.123
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The computation of an optimal steady-state operating point in an experimental annealing furnace is considered. In particular, the optimum spatial distribution of electric power supplied to IR-lamps is computed to ensure the temperature uniformity in the specimen fillet. A control-oriented reduced-order model of the steady-state 2D temperature distribution is derived and compared with the full-order model. Saturation functions are used to consider input constraints in a tailored optimization problem. The evaluation of the optimal control input is carried out with the full-order model. Uniqueness of the solution of the optimization problem is investigated numerically. The temperature field in the specimen fillet deviates less than 0.4% of the setpoint value if sufficient heating power is available.