锅炉再热汽温时间序列的混沌分析
|
摘要
从非线性动力学观点出发,首次利用混沌理论,针对再热汽温时间序列进行相空间重构,分析其时序关联维与嵌入相空间轨道的变化规律,得出再热汽温的关联维数D2为分数,最大Lyapunov指数λ1是正数,从而揭示了再热汽温的混沌动力学特性,为建立再热汽温模型和精确预测提供新的思路。
From the opinion of nonlinear dynamics,chaotic theory is adopted to taking phase space rebuilding according to time series of temperature of reheated steam in the paper.The correlation dimension and movement rule of imbedding phase space orbital is analyzed,so it can educe that the correlation dimension D2 of the time series of temperature of reheated steam is a fraction,and the largest Lyapunov indexλ1 is positive number.Then the chaotic dynamical performances are revealed,which supply new method for building the model of the reheated vapor temperature and predicting it.
From the opinion of nonlinear dynamics,chaotic theory is adopted to taking phase space rebuilding according to time series of temperature of reheated steam in the paper.The correlation dimension and movement rule of imbedding phase space orbital is analyzed,so it can educe that the correlation dimension D2 of the time series of temperature of reheated steam is a fraction,and the largest Lyapunov indexλ1 is positive number.Then the chaotic dynamical performances are revealed,which supply new method for building the model of the reheated vapor temperature and predicting it.
引文
[1]谢新民,丁锋.自适应控制系统[M].北京:清华大学出版社,2002:168-170.
[2]TakensF.Detectingstrange attractors in turbulence[A].In:DARand,LSYong.Dynamicalsystemsandturbulence[M].Warwick,Lecture Notes in Mathematics,898[C].Berlin:SpringerVerlag,1981.366-381.
[3]LiebertW,SchusterHG.Properchoiceofthetimedelayfor the analysis of chaotic time series[J].Phys LettA,1989,141:386-390.
[4]M.T.Rosenstein,J.J.CollinsandC.J.Deluca.Reconstructionexpansion as a geometry-based framework for choosing properdelaytimes[J].PhysicaD,1994,73:82-98.
[5]林嘉宇,王跃科,黄芝平,等.语音信号相空间重构中的时间延迟的选择-复自相关法[J].信号处理,1999,15(3):220-225.
[6]P.Grassberger,I.Procaccia.Measuring the strangeness of strangeattractors[J].PhysicalD,1983,(9):189-208.
[7]Kennel MB,BrownR,AbarbanelHDI.Determiningembeddingdimension for phase-space reconstruction using geometricalconstruction[J].PhyRevA,1992,45(6):3403-3411.
[8]FraserAM.Information and entropyinstrang eattractors[J].IEEET rans.onIT,1989,IT-35(2):245-262.
[9]方锦清.驾驭混沌与发展高新技术[M].北京:原子能出版社,2002:35-42.
[10]郑兆宓,张军,汪秉宏.最大Lyapunov指数计算的几种方法[J].地震,1994,(4):86-92.
[11]A.Wolf.J.B.Swift,H.L.SwinneyandJ.A.Vastano.Determining Lyapunovexponentsfromatimeseries[J],PhysicaD,1985:285-317.
[12]G.BaranaandI.Tsuda.AnewmethodforcomputingLyapunovexponents[J].Phys.Lett.A,1990,175:421-427.
[13]M.T.Rosenstein,J.J.Collinsand C.J.De luca.Apractical Method for calculating largest Lyapunove xponents from smalldatasets[J].PisicaD,1993,65:117-234.
[2]TakensF.Detectingstrange attractors in turbulence[A].In:DARand,LSYong.Dynamicalsystemsandturbulence[M].Warwick,Lecture Notes in Mathematics,898[C].Berlin:SpringerVerlag,1981.366-381.
[3]LiebertW,SchusterHG.Properchoiceofthetimedelayfor the analysis of chaotic time series[J].Phys LettA,1989,141:386-390.
[4]M.T.Rosenstein,J.J.CollinsandC.J.Deluca.Reconstructionexpansion as a geometry-based framework for choosing properdelaytimes[J].PhysicaD,1994,73:82-98.
[5]林嘉宇,王跃科,黄芝平,等.语音信号相空间重构中的时间延迟的选择-复自相关法[J].信号处理,1999,15(3):220-225.
[6]P.Grassberger,I.Procaccia.Measuring the strangeness of strangeattractors[J].PhysicalD,1983,(9):189-208.
[7]Kennel MB,BrownR,AbarbanelHDI.Determiningembeddingdimension for phase-space reconstruction using geometricalconstruction[J].PhyRevA,1992,45(6):3403-3411.
[8]FraserAM.Information and entropyinstrang eattractors[J].IEEET rans.onIT,1989,IT-35(2):245-262.
[9]方锦清.驾驭混沌与发展高新技术[M].北京:原子能出版社,2002:35-42.
[10]郑兆宓,张军,汪秉宏.最大Lyapunov指数计算的几种方法[J].地震,1994,(4):86-92.
[11]A.Wolf.J.B.Swift,H.L.SwinneyandJ.A.Vastano.Determining Lyapunovexponentsfromatimeseries[J],PhysicaD,1985:285-317.
[12]G.BaranaandI.Tsuda.AnewmethodforcomputingLyapunovexponents[J].Phys.Lett.A,1990,175:421-427.
[13]M.T.Rosenstein,J.J.Collinsand C.J.De luca.Apractical Method for calculating largest Lyapunove xponents from smalldatasets[J].PisicaD,1993,65:117-234.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心