Optimal boundary control for the heat equation with application to freezing with phase change

Author

Backi, Christoph Josef ; Gravdahl, Jan Tommy

Author_Institution

Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway

fYear

2013

fDate

4-5 Nov. 2013

Firstpage

409

Lastpage

414

Abstract

In this paper an approach for optimal boundary control of a parabolic partial differential equation (PDE) is presented. The parabolic PDE is the heat equation for thermal conduction. A technical application for this is the freezing of fish in a vertical plate freezer. As it is a dominant phenomenon in the process of freezing, the latent heat of fusion is included in the model. The aim of the optimization is to freeze the interior of a fish block below -18 °C in a predefined time horizon with an energy consumption that is as low as possible assuming that this corresponds to high freezing temperatures.

Keywords

energy consumption; freezing; heat conduction; latent heat; optimal control; partial differential equations; phase change materials; energy consumption; freezing process; freezing temperatures; heat equation; latent heat of fusion; optimal boundary control; parabolic PDE; parabolic partial differential equation; phase change; temperature -18 C; thermal conduction; vertical plate freezer; Approximation methods; Equations; Heating; Mathematical model; Numerical models; Optimal control; Optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (AUCC), 2013 3rd Australian

Conference_Location

Fremantle, WA

Print_ISBN

978-1-4799-2497-4

Type

conf

DOI

10.1109/AUCC.2013.6697308

Filename

6697308