摘要
以山东莱钢1号高炉和山西临钢6号高炉在线采集的铁水含硅量([Si])的时间序列为样本,利用重标级差分析(R/S)和盒维数计算方法,得出两座高炉[Si]时间序列的Hurst指数H分别约为0.257和0.224,盒维数DB分别约为1.712和1.724,完成了对[Si]值波动复杂程度的定量估计,证明两者的时间序列均为长程负相关的分形时间序列.随后根据分形迭代函数的理论与方法,确定相关参数,迭代生成模拟的[Si]时间序列,拟合效果较好.
With [Si] time series of No. 1 BF at Laiwu Iron and Steel Group Co. and No.6 BF at Linfen Iron and Steel Group Co. as sample space, and based on rescaled range analysis and method of box dimension, the Hurst exponents of [ Si] time series of these two BFs and the box dimensions are figured out to be ranging from 0.257 and 0.224 and 1.712 and 1.724, respectively. The complex degree of [ Si] time series is described, and it is also proved that [ Si] time series is a long-term negative association fractal time series. With the correlative parameter fixed, the simulated trend was pictured by the theory of iterated function system.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2006年第7期3343-3348,共6页
Acta Physica Sinica
基金
国家科技成果推广计划项目(批准号:2005EC000166)
浙江省自然科学基金(批准号:Y605389)
宁波市自然科学基金(批准号:2006A610032)资助的课题.~~
关键词
铁水含硅量
重标级差分析
HURST指数
分形拟合
silicon content in hot metal, rescaled range analysis, Hurst exponent, fractal fitting
