多供冷系统同步分析与监测  

Synchronization Analysis and Measurement in Multi-Cooling Systems

作　　者：陈亮[1] 张伟[2] 

机构地区：[1]东华大学数字化纺织服装技术教育部工程研究中心,上海201620 [2]同济大学控制科学与工程系,上海201804

出　　处：《控制工程》2010年第S3期169-172,共4页Control Engineering of China

基　　金：中央高校基本科研业务费专项基金资助项目

摘　　要：对多供冷系统中发生的同步现象进行动态分析,并在此基础上提出同步监测算法以及可能的解同步方案。数学模型采用分段仿射切换系统,运用混沌动力学理论,进行同步动态分析。结果表明,多供冷系统的同步现象可以解释为系统行为具有稳定的低周期轨道;当系统行为呈现高周期轨道,甚至混沌时,系统则远离同步。最大Lyapunov指数常用来数值判断系统是否具有混沌。由此,提出用最大Lyapunov指数这一指标来监测同步,即当计算得到的最大Lyapunov指数的数值越大,则可判定系统越远离同步。最后,就解同步控制问题提出使系统混沌化的新思路。所涉及的方法可扩展到大型多供冷系统,并且对研究在电力系统和加热系统等系统中类似的同步现象提供参考价值。The synchronization analysis,measurement and possible de-synchronization scheme are focused on in the multi-cooling system. Analysis is performed by using chaos theory based on a piecewise-affine switched model.Results show that the synchronization in the multi-cooling system can be interpreted as a stable low-period orbit.When the system has a high-period orbit,even the complex chaos-like behavior,it is far away from the synchronization.The maximum Lyapunov exponent is usually used to estimate the level of chaos.Therefore,it uses as a measure of performance for the tendency of the system to synchronize,that is,the higher value of the maximum Lyapunov exponent the lower risk for the synchronization.Finally,a concept is composed that the system may be de-synchronized by making it chaotic.Methods developed can be easily extended to the large-scale multi-coocling system and give good suggestion for studying the similar synchronization existed in other systems,such as the power electronics system and the heating system.

关 键 词：多供冷系统 切换模型 同步监测 混沌 LYAPUNOV指数 

分 类 号：TB65[一般工业技术—制冷工程]