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Analysis of synchronization in a supermarket refrigeration system

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Authors:
  • Wisniewski, Rafal ;
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    Orcid logo0000-0001-6719-8427
    Department of Electronic Systems, The Technical Faculty of IT and Design, Aalborg University
  • Leth, John-Josef ;
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    Orcid logo0000-0001-6043-1687
    Department of Electronic Systems, The Technical Faculty of IT and Design, Aalborg University
  • Rasmussen, Jakob Gulddahl
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    Department of Mathematical Sciences, The Faculty of Engineering and Science, Aalborg University
DOI:
10.1007/s11768-014-0077-2
Abstract:
In a supermarket refrigeration, the temperature in a display case, surprisingly, influences the temperature in other display cases. This leads to a synchronous operation of all display cases, in which the expansion valves in the display cases turn on and off at exactly the same time. This behavior increases both the energy consumption and the wear of components. Besides this practical importance, from the theoretical point of view, synchronization, likewise stability, Zeno phenomenon, and chaos, is an interesting dynamical phenomenon. The study of synchronization in the supermarket refrigeration systems is the subject matter of this work. For this purpose, we model it as a hybrid system, for which synchronization corresponds to a periodic trajectory. To examine whether it is stable, we transform the hybrid system to a single dynamical system defined on a torus. Consequently, we apply a Poincaré map to determine whether this periodic trajectory is asymptotically stable. To illustrate, this procedure is applied for a refrigeration system with two display-cases.
Type:
Journal article
Language:
English
Published in:
Journal of Control Theory and Applications, 2014, Vol 12, Issue 2, p. 154-162
Main Research Area:
Science/technology
Publication Status:
Published
Review type:
Peer Review
Submission year:
2014
Scientific Level:
Scientific
ID:
267081290

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