Stochastic Analysis of Synchronization in a Supermarket Refrigeration System

TL;DR

This paper models supermarket refrigeration systems as hybrid systems to analyze how switching noise affects synchronization, revealing that increased measurement uncertainty reduces synchronization prevalence.

Contribution

It introduces a hybrid system model for refrigeration synchronization and a statistical method to quantify synchronization intensity under switching noise influence.

Findings

Increased measurement uncertainty decreases synchronization prevalence.

Hybrid system modeling effectively captures refrigeration system dynamics.

Statistical intensity function quantifies synchronization levels.

Abstract

Display cases in supermarket systems often exhibit synchronization, in which the expansion valves in the display cases turn on and off at exactly the same time. The study of the influence of switching noise on synchronization in 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. Subsequently, we investigate the influence of switching noise. We develop a statistical method for computing an intensity function, which measures how often the refrigeration system stays synchronized. By analyzing the intensity, we conclude that the increase in measurement uncertainty yields the decrease at the prevalence of synchronization.