时间窗重构法及其在CFB混沌分析中的应用

Embedding Window Reconstructing and Its Application in Chaotic Analysis of CFB

在 Kim等提出的基于相空间中点分布的统计规律的关联积分法的基础上 ,用固定时间窗的方法对循环流化床压力波动信号进行相空间重构 ,并将由此计算关联维与固定滞时计算关联维相比较。计算结果表明了固定时间窗 τw计算关联维的优越性 ,并分析了循环流化床中不同种类颗粒的运动特性。

The method of time delay is widely used for reconstructing chaotic attractors from experimental time series. Most of studies have used a fixed delay time τ d and increasing the embedding dimensionm to calculate correlation dimension. Many researchers have suggested that choosing the delay time window τ w =(m-1) τ can get correlation dimension more better than that to choose τ d. Unfortunately, τ w cannot be estimated easily. In this paper, based on the c-c method provided by H.S.Kim etc., the τ w have been estimated with small sample sizes and the chaotic analysis of pressure fluctuation signals in CFB risers has been done. Results showed that fixing τ w does lead to a more rapid convergence in calculating correlation dimension as the embedding dimension m is increased, and the characteristics of particle movement in CFB riser were also analyzed.