The Taylor model arithmetic is introduced to deal with uncertainty.The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model(TM).Thus,time domai...The Taylor model arithmetic is introduced to deal with uncertainty.The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model(TM).Thus,time domain simulation under uncertainty is transformed to the integration of TM-based differential equations.In this paper,the Taylor series method is employed to compute differential equations;moreover,power system time domain simulation under uncertainty based on Taylor model method is presented.This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation.It is computationally fast compared with the Monte Carlo method,which is another technique for uncertainty analysis.The proposed method has been tested on the 39-bus New England system.The test results illustrate the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.展开更多
It is suggested in this paper that the famous Taylor’s model for the compdrition and evolution of the continental crust consists of three closely related key links. These links include an assumption that the surficia...It is suggested in this paper that the famous Taylor’s model for the compdrition and evolution of the continental crust consists of three closely related key links. These links include an assumption that the surficial environment has no effect on the sedimentary REE patterns and the REE patterns in shales can reflect the composition of their provenancel a discovery about the discrepancy of sedimentary REE patterns between Archean and Proterozoic, and a deduc-tion that there was a global scale K-granitoid event at the end of the Archean. Based on a de-tailed discussion, this paper substantially negates the rationality of the Taylor’s model and ar-gues that its three critical links be three great errors indeed. Moreover, some other deficiencies or problems it confronts are described in this paper. The authors suggest that what led to the errors involved in the Taylor’s model is its wrongly neglecting the effect of the sedimentary en-vironment on the chemical composition of sediments, and that the environment should be an important factor affecting the distribution patterns of trace elements in the sediments.展开更多
Sandpile phenomena in dynamic systems in the vicinity of criticality always appeal to a sudden break of stability with avalanches of different sizes due to minor perturbations. We can view the intervention of the Cent...Sandpile phenomena in dynamic systems in the vicinity of criticality always appeal to a sudden break of stability with avalanches of different sizes due to minor perturbations. We can view the intervention of the Central Banks on the rate of interest as a perturbation of the economic system. It is an induced perturbation to a system that fare in vicinity of criticality according to the conditions of stability embedded in the equations of the neoclassical model. An alternative reading of the Taylor Rule is proposed in combination with the Sandpile paradigm to give an account of the economic crisis as an event like an avalanche, that can be triggered by a perturbation, as is the intervention of the Central Bank on the interest rate.展开更多
TDOA(Time Difference of Arrival)测距方式是UWB(Ultra Wide Band)室内定位的常用方法,针对其不可避免的随机误差以及目标改变运动状态定位不准确的问题,文中提出了一种Chan-Taylor-IMMKF(Interacting Multiple Model Kalman Filter)...TDOA(Time Difference of Arrival)测距方式是UWB(Ultra Wide Band)室内定位的常用方法,针对其不可避免的随机误差以及目标改变运动状态定位不准确的问题,文中提出了一种Chan-Taylor-IMMKF(Interacting Multiple Model Kalman Filter)定位算法。该算法由Chan-Taylor加权算法与加入自适应算法IMM卡尔曼滤波算法组成,通过Chan-Taylor加权算法初次取得目标估计坐标,将该坐标值作为自适应算法IMM的卡尔曼滤波器的测量值,对目标坐标进行多次滤波处理,最终加权得到目标的最终估计坐标。实验将该算法与未滤波的Chan-Taylor加权算法、使用传统的卡尔曼滤波算法进行对比,结果显示该算法有效减小了系统的随机误差,并克服了传统卡尔曼滤波器在目标忽然改变运动状态时不能及时跟踪从而产生较大误差的问题,将误差标准差均值控制在15 cm之内。展开更多
基金supported by the National Natural Science Foundation of China (Grant No.50477035).
文摘The Taylor model arithmetic is introduced to deal with uncertainty.The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model(TM).Thus,time domain simulation under uncertainty is transformed to the integration of TM-based differential equations.In this paper,the Taylor series method is employed to compute differential equations;moreover,power system time domain simulation under uncertainty based on Taylor model method is presented.This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation.It is computationally fast compared with the Monte Carlo method,which is another technique for uncertainty analysis.The proposed method has been tested on the 39-bus New England system.The test results illustrate the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.
文摘It is suggested in this paper that the famous Taylor’s model for the compdrition and evolution of the continental crust consists of three closely related key links. These links include an assumption that the surficial environment has no effect on the sedimentary REE patterns and the REE patterns in shales can reflect the composition of their provenancel a discovery about the discrepancy of sedimentary REE patterns between Archean and Proterozoic, and a deduc-tion that there was a global scale K-granitoid event at the end of the Archean. Based on a de-tailed discussion, this paper substantially negates the rationality of the Taylor’s model and ar-gues that its three critical links be three great errors indeed. Moreover, some other deficiencies or problems it confronts are described in this paper. The authors suggest that what led to the errors involved in the Taylor’s model is its wrongly neglecting the effect of the sedimentary en-vironment on the chemical composition of sediments, and that the environment should be an important factor affecting the distribution patterns of trace elements in the sediments.
文摘Sandpile phenomena in dynamic systems in the vicinity of criticality always appeal to a sudden break of stability with avalanches of different sizes due to minor perturbations. We can view the intervention of the Central Banks on the rate of interest as a perturbation of the economic system. It is an induced perturbation to a system that fare in vicinity of criticality according to the conditions of stability embedded in the equations of the neoclassical model. An alternative reading of the Taylor Rule is proposed in combination with the Sandpile paradigm to give an account of the economic crisis as an event like an avalanche, that can be triggered by a perturbation, as is the intervention of the Central Bank on the interest rate.
