A great number of semi-analytical models, notably the representation of electromagnetic fields by integral equations are based on the second order vector potential (SOVP) formalism which introduces two scalar potentia...A great number of semi-analytical models, notably the representation of electromagnetic fields by integral equations are based on the second order vector potential (SOVP) formalism which introduces two scalar potentials in order to obtain analytical expressions of the electromagnetic fields from the two potentials. However, the scalar decomposition is often known for canonical coordinate systems. This paper aims in introducing a specific SOVP formulation dedicated to arbitrary non-orthogonal curvilinear coordinates systems. The electromagnetic field representation which is derived in this paper constitutes the key stone for the development of semi-analytical models for solving some eddy currents moelling problems and electromagnetic radiation problems considering at least two homogeneous media separated by a rough interface. This SOVP formulation is derived from the tensor formalism and Maxwell’s equations written in a non-orthogonal coordinates system adapted to a surface characterized by a 2D arbitrary aperiodic profile.展开更多
该文研究一种适用于超高速磁浮列车的涡流制动装置,该装置由双边Halbach阵列和制动轨组成。基于二阶矢量磁位(second order vector potential,SOVP),提出该装置的三维解析模型,推导制动力的计算式。通过旋转实验平台对解析法进行验证,...该文研究一种适用于超高速磁浮列车的涡流制动装置,该装置由双边Halbach阵列和制动轨组成。基于二阶矢量磁位(second order vector potential,SOVP),提出该装置的三维解析模型,推导制动力的计算式。通过旋转实验平台对解析法进行验证,解析法与实验测试结果平均相对误差约为10%。在此基础上,利用所得制动力计算式,在300~1000km/h速度区间研究永磁体排列方式、制动轨厚度以及极距等不同参数对制动力和制动效率的影响,给出适用于此区间的设计参数。最后,在相同参数下,对比分析该装置与现有技术的制动特性,在制动效率相当的情况下,该装置的制动力约为现有技术的1.8倍。该装置能产生的制动力密度为约为21.4kN/m,最大减速度约为10.7m/s2。展开更多
文摘A great number of semi-analytical models, notably the representation of electromagnetic fields by integral equations are based on the second order vector potential (SOVP) formalism which introduces two scalar potentials in order to obtain analytical expressions of the electromagnetic fields from the two potentials. However, the scalar decomposition is often known for canonical coordinate systems. This paper aims in introducing a specific SOVP formulation dedicated to arbitrary non-orthogonal curvilinear coordinates systems. The electromagnetic field representation which is derived in this paper constitutes the key stone for the development of semi-analytical models for solving some eddy currents moelling problems and electromagnetic radiation problems considering at least two homogeneous media separated by a rough interface. This SOVP formulation is derived from the tensor formalism and Maxwell’s equations written in a non-orthogonal coordinates system adapted to a surface characterized by a 2D arbitrary aperiodic profile.
文摘该文研究一种适用于超高速磁浮列车的涡流制动装置,该装置由双边Halbach阵列和制动轨组成。基于二阶矢量磁位(second order vector potential,SOVP),提出该装置的三维解析模型,推导制动力的计算式。通过旋转实验平台对解析法进行验证,解析法与实验测试结果平均相对误差约为10%。在此基础上,利用所得制动力计算式,在300~1000km/h速度区间研究永磁体排列方式、制动轨厚度以及极距等不同参数对制动力和制动效率的影响,给出适用于此区间的设计参数。最后,在相同参数下,对比分析该装置与现有技术的制动特性,在制动效率相当的情况下,该装置的制动力约为现有技术的1.8倍。该装置能产生的制动力密度为约为21.4kN/m,最大减速度约为10.7m/s2。
