Papers by Keyword: Statistical Theory

Abstract: The size distribution of carrying capacity as the forefront of current non-equilibrium transportation of non-uniform suspended sediment research was introduced. The nonequilibrium transportation of suspended sediment concept was further studied. The preliminary calculations and verification of the size distributions of carrying capacity and effective bed material under nonequilibrium transportation condition were given after derived by Qiwei Han. The formula is tested by experimental data and the theoretical results are consistent with the measured values.

Abstract: Based on a 3-D Von Neumann equation a general theoretical formulation has been provided in the framework of the statistical theory of grain growth to predict the microstructure evolution. By the same approach the topological relationships between number of grain faces, grain size, number of corners and edges and how these can be calculated in a real microstructure with a statistical approach are discussed. A quadratic law for the linkage between number of faces and grain size is found and together with the functional dependency of other relevant 3-D microstructure parameters good agreement with available experimental results is found .

Abstract: The derivation of an equivalent 3-D Von Neumann equation and the corresponding kinetics equation in terms of geometrical characteristics of a grain is shown and the formulation is provided in the framework of the statistical theory of grain growth. The topological relationships between number of grain faces, grain size, number of corners and edges and how these can be calculated in a real microstructure with a statistical approach are discussed. A quadratic law for the linkage between number of faces and grain size is found and compared with available experimental results. Inside the above description a basic formulation of the statistical theory will be derived based on simple geometrical and statistical principles without any independent assumption

Abstract: Statistical theory and fuzzy analysis are two primary methods of radar and ESM track association algorithms. Absolute-double-threshold rule was used to analyze these two association algorithms. Each algorithm was simulated in this paper. The simulation results show that both of these two track association algorithms have high probability of correct association, but the algorithm based on statistical theory has faster convergent speed and litter samples, while the other is simple, and has less calculation.

Abstract: A new method for transformer fault diagnosis based on cluster analysis and statistical theory is presented. First, the fault diagnosis results are obtained according to the distances between the state sorts of transformer. Then, the final fault diagnosis is accomplished according to the concentration distribution of typical fault gases in higher dimensional space. The proposed approach is constructing the most accuracy model from few training samples supporting. Moreover, by comparing with the other methods, it cost less time for diagnosing by the proposed model and the accuracy for transformer fault diagnosis is improved using our proposed model.

Abstract: An improved Monte Carlo (MC) Potts model algorithm has been implemented allowing an extensive simulation of three-dimensional (3D) normal grain growth. It is shown that the simulated microstructure reaches a quasi-stationary state, where the growth of grains can be described by an average self-similar volumetric rate of change, which depends only on the relative grain size. Based on a quadratic approximation of the volumetric rate of change a generalized analytic mean-field theory yields a scaled grain size distribution function that is in excellent agreement with the simulation results.

Abstract: Based on topological considerations and results of Monte Carlo Potts model simulations of three-dimensional normal grain growth it is shown that, contrary to Hillert’s assumption, the average self-similar volume change rate is a non-linear function of the relative grain size, which in the range of observed grain sizes can be approximated by a quadratic polynomial. In particular, based on an adequate modification of the effective growth law, a new analytical grain size distribution function is derived, which yields an excellent representation of the simulated grain size distribution.