The aim of this paper is to study the notion of the gradient observability on a subregion w of the evolution domain W and also we consider the case where the subregion of interest is a boundary part of the system evol...The aim of this paper is to study the notion of the gradient observability on a subregion w of the evolution domain W and also we consider the case where the subregion of interest is a boundary part of the system evolution domain for the class of semilinear hyperbolic systems. We show, under some hypotheses, that the flux reconstruction is guaranteed by means of the sectorial approach combined with fixed point techniques. This leads to several interesting results which are performed through numerical examples and simulations.展开更多
A method for the reconstruction of the plasma boundary in the sino-united spherical tokamak (SUNIST) based on the outer plasma magnetic diagnostics is reported. In SUNIST, the magnetic flux loop integral signals wer...A method for the reconstruction of the plasma boundary in the sino-united spherical tokamak (SUNIST) based on the outer plasma magnetic diagnostics is reported. In SUNIST, the magnetic flux loop integral signals were measured recently and the plasma boundary could be reconstructed well with a current filament (CF) model by setting 2 to 8 current filaments. There are three additional filament positional parameters in addition to the filament current to minimize the square root error in the CF model. The plasma configuration obtained with the CF method is consistent with the visible plasma image from the CCD camera. The average difference in the minor radii for the plasma boundary, by applying the CF model and EFIT code, is below 6 mm.展开更多
拓扑优化变密度法得到的优化结构边界呈离散阶梯分布,边缘不清晰且可制造性较差,现有重构算法均基于非参数轮廓的提取,在可适用性及响应精度方面有待改进。针对此类不足提出一种拓扑结构优化方法,利用Canny检测算法提取拓扑优化结构边缘...拓扑优化变密度法得到的优化结构边界呈离散阶梯分布,边缘不清晰且可制造性较差,现有重构算法均基于非参数轮廓的提取,在可适用性及响应精度方面有待改进。针对此类不足提出一种拓扑结构优化方法,利用Canny检测算法提取拓扑优化结构边缘,基于DBSCAN(Density-Based Spatial Clustering of Applications with Noise)算法对其结构模型进行聚类分析,得到密度划分的多簇特征点集,利用凸包Graham Scan算法逆序扫描数据点集,连接自然极限边界形成整体轮廓,为考虑可制造性条件下拓扑设计提供一种优化方法。通过典型算例验证了设计方案的可行性,整体结构边缘清晰,且对拓扑构型可能存在的无实义内部空隙有修复作用。结果表明:经处理后的优化构型结构响应度误差较小,满足设计要求。展开更多
A new method for plasma boundary reconstruction, based on the toroidal multipolar expansion (TME) scheme, is applied successfully in EAST. TME applies a limited number of toroidal multipolar moments based on toroida...A new method for plasma boundary reconstruction, based on the toroidal multipolar expansion (TME) scheme, is applied successfully in EAST. TME applies a limited number of toroidal multipolar moments based on toroidal coordinates to treat a two-dimensional problem of axisymmetric plasma equilibrium. The plasma boundary reconstructed by TME is consistent with the results by using EFIT. The method is sufficiently reliable and fast for real time shape control.展开更多
文摘The aim of this paper is to study the notion of the gradient observability on a subregion w of the evolution domain W and also we consider the case where the subregion of interest is a boundary part of the system evolution domain for the class of semilinear hyperbolic systems. We show, under some hypotheses, that the flux reconstruction is guaranteed by means of the sectorial approach combined with fixed point techniques. This leads to several interesting results which are performed through numerical examples and simulations.
基金supported by National Natural Science Foundation of China (Nos.10775177, 10535020)the Major State Basic Research Development Program of China (Program 973) (No.2008CB717804)
文摘A method for the reconstruction of the plasma boundary in the sino-united spherical tokamak (SUNIST) based on the outer plasma magnetic diagnostics is reported. In SUNIST, the magnetic flux loop integral signals were measured recently and the plasma boundary could be reconstructed well with a current filament (CF) model by setting 2 to 8 current filaments. There are three additional filament positional parameters in addition to the filament current to minimize the square root error in the CF model. The plasma configuration obtained with the CF method is consistent with the visible plasma image from the CCD camera. The average difference in the minor radii for the plasma boundary, by applying the CF model and EFIT code, is below 6 mm.
文摘拓扑优化变密度法得到的优化结构边界呈离散阶梯分布,边缘不清晰且可制造性较差,现有重构算法均基于非参数轮廓的提取,在可适用性及响应精度方面有待改进。针对此类不足提出一种拓扑结构优化方法,利用Canny检测算法提取拓扑优化结构边缘,基于DBSCAN(Density-Based Spatial Clustering of Applications with Noise)算法对其结构模型进行聚类分析,得到密度划分的多簇特征点集,利用凸包Graham Scan算法逆序扫描数据点集,连接自然极限边界形成整体轮廓,为考虑可制造性条件下拓扑设计提供一种优化方法。通过典型算例验证了设计方案的可行性,整体结构边缘清晰,且对拓扑构型可能存在的无实义内部空隙有修复作用。结果表明:经处理后的优化构型结构响应度误差较小,满足设计要求。
基金supported by the Major State Basic Research Development Program of China (973 program, No. 2009GB103000), National Natural Science Foundation of China (No. 10835009), and the Chinese Academy of Sciences with grant ID of KJCX3.SYW.N4
文摘A new method for plasma boundary reconstruction, based on the toroidal multipolar expansion (TME) scheme, is applied successfully in EAST. TME applies a limited number of toroidal multipolar moments based on toroidal coordinates to treat a two-dimensional problem of axisymmetric plasma equilibrium. The plasma boundary reconstructed by TME is consistent with the results by using EFIT. The method is sufficiently reliable and fast for real time shape control.