EMBEDDING THEOREMS ON CAMPANATO-MORREY SPACES FOR VECTOR FIELDS OF HoRMANDER TYPE

This paper deals with embedding theorems on Campanato-Marrey spaces formed by degenerate vector fields, which include Honnander and Grushin type of vector fields. These embedding theorems are somewhat different from the known Poincare estimates. The main ingredients of the proofs rely on the fractional maximal functions. These results evidently have applications to the regularity of subelliptic PDE.

Near-Vector Spaces Constructed over Zp, for p a Prime

The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Zp for p a prime, as the underlying near-field. There are two notions of near-vector spaces, we focus on those studied by André [1]. These near-vector spaces have recently proven to be very useful in finite linear games. We will discuss the construction and properties, give examples of these near-vector spaces and give its application in finite linear games.

On a Hypothetical Vector Field Associated with the Classic Electromagnetic Wave in a Space of Four Dimensions

In two previous papers [1] and [2], a structure for vector products in n dimensions was presented, and at the same time it was possible to propose the existence of a vector analogous to the curl of a vector field, for a space of four dimensions. In continuation of these works, the objective is to develop, through dimensional analogy, the idea of a hypothetical vector field, associated with the classical electromagnetic wave. This hypothetical field has a possible mathematical existence only when considering a space of four dimensions. The properties of the electromagnetic wave are preserved and equations with mathematical forms analogous to those of Maxwell’s equations are presented.

Construction of PBIB Desings by Using Subspace of Vector Space over Finite Fields

A new transitivity theorem of the general linear group GLn(Fq)is proved. A kind of new PBIB desings is constructed.

On the Massless Vector Fields in a Rindler Space

We study the quantum theory of the mass-less vector fields on the Rindler space. We evaluate the Bogoliubov coefficients by means of a new technique based upon the use of light-front coordinates and Mellin transform. We briefly comment about the ensuing Unruh effect and its consequences.

A Simple Proof for a Property of the Vector Space Ⅴ Over the Field F

In this paper we’ll prove a fundameutal property of the vector space by means of the ex-tension field,i.e.the numbers of the elements of a basis of the vector space V over the field Fequal to the d imensions(V:F).

Concircular π-Vector Fields and Special Finsler Spaces

The aim of the present paper is to investigate intrinsically the notion of a concircular π-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of concurrent vector field in Finsler geometry. Some properties of concircular π-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular π-vector field on some important special Finsler spaces is investigated. Almost all results obtained in this work are formulated in a coordinate-free form.

<i>L_p</i>-Estimations of Vector Fields in Unbounded Domains

Some new estimations of scalar products of vector fields in unbounded domains are investigated. Lp-estimations for the vector fields were proved in special weighted functional spaces. The paper generalizes our earlier results for bounded domains. Estimations for scalar products make it possible to investigate wide classes of mathematical physics problems in physically inhomogeneous domains. Such estimations allow studying issues of correctness for problems with non-smooth coefficients. The paper analyses solvability of stationary set of Maxwell equations in inhomogeneous unbounded domains based on the proved Lp-estimations.

DECOMPOSITION OF BV FUNCTIONS IN CARNOT-CARATHEODORY SPACES

The aim of this paper is to get the decomposition of distributional derivatives of functions with bounded variation in the framework of Carnot-Caratheodory spaces (C-C spaces in brievity) in which the vector fields are of Carnot type. For this purpose the approximate continuity of BV functions is discussed first, then approximate differentials of L1 functions are defined in the case that vector fields are of Carnot type and finally the decomposition Xu = (?)u ·Ln + X2 u is proved, where u ∈ BVx(?) and (Ω)u denotes the approximate differential of u.

基于磁场传感器磁成像装置研究

针对空间磁场矢量分布情况,给出一种空间磁场测量和成像的装置,主要由磁场矢量传感器、三维移动平台和信号处理电路等部分构成。在待测磁场空间中,通过三维移动平台调整磁场矢量传感器的测量位置,然后利用传感器测量相应位置处的磁场分量(Bx、By和Bz),采用信号处理电路并行对传感器的输出电压进行放大、滤波、调零和A/D转换等处理。在微控制器进行数字滤波和数据传输后,利用软件分析和处理获取的数据,并绘制空间磁场矢量分布图。实验结果表明在一定待测磁场范围内,该磁成像装置能够实现永磁铁附近的空间磁场相应位置的磁场矢量测量,并形成磁场分布图,该装置可以对-1000 Gs~+1000 Gs的磁场进行测量,磁场分辨率为2 Gs,空间分辨率为3 mm3。

A Construction of Authentication Codes with Arbitration from Vector Spaces over Finite Fields

This paper is devoted to constructing an authentication code with arbitration using subspaces of vector spaces over finite fields.Moreover,if we choose the encoding rules of the transmitter and the decoding rules of the receiver according to a uniform probability distribution,then some parameters and the probabilities of successful attacks are computed.

基于虚拟电压矢量的磁场定向控制策略研究

针对双三相永磁同步电机(PMSM)矢量控制系统中定子相电流的谐波问题,在采用传统两矢量空间矢量脉宽调制算法的基础上,提出基于最大四矢量的空间矢量脉宽调制算法的磁场定向控制策略。其次,针对最大四矢量的空间矢量脉宽调制算法计算量大,设计复杂的问题,又提出了基于虚拟电压矢量的空间矢量脉宽调制算法的改进型磁场定向控制策略。最后,通过MATLAB/Simulink仿真平台,验证所提出的改进型控制算法策略的有效性。

Flows Associated to Cameron-martin Type Vector Fields on Path Spaces Over a Riemannian Manifold

The flow on the Wiener space associated to a tangent process constructed by Cipriano and Cruzeiro, as well as by Gong and Zhang does not allow to recover Driver’s Cameron-Martin theorem on Riemannian path space. The purpose of this work is to refine the method of the modified Picard iteration used in the previous work by Gong and Zhang and to try to recapture and extend the result of Driver. In this paper, we establish the existence and uniqueness of a flow associated to a Cameron-Martin type vector field on the path space over a Riemannian manifold.

基于磁场定向控制的直线电机控制系统研究

文章主要分析和研究永磁同步直线电机(Permanent Magnet Linear Synchronous Motor,PMLSM)的驱动控制系统。首先,建立直线电机在ABC坐标系和dq坐标系下的数学模型。其次,在dq坐标系下实现直交轴解耦,采用磁场定向控制的策略控制PMLSM,采用i_(d)=0的控制方式,并利用空间脉宽矢量调制方法调制驱动。最后,搭建PMLSM控制系统,采用速度、推力双闭环控制实现PMLSM的精确定速,同时保证其推力满足要求。

背靠背变流系统中优化前馈控制策略的研究

在背靠背变流系统中,直流母线电压受负载和电网等因素的影响而上下波动,这极大影响了系统的安全可靠运行。为了抑制直流母线电压的波动,提高系统动态响应能力,文中采用小信号模型的分析方法,分析了传统前馈控制策略提高母线电压动态响应的原理以及优缺点,提出了一种优化的前馈控制策略,不仅抑制了由负载和电网变化引起的母线电压波动,使系统的动态响应能力得到了提高,而且应用状态观测器取代电流传感器对负载电流进行测量,降低了成本并解决了电流传感器给系统带来的各种问题,提高了系统的稳定性。最后,仿真结果和基于4kVA实验平台的试验结果都证明了该控制策略的有效性。

低转矩磁链脉动型电励磁同步电机直接转矩驱动系统的研究

电励磁同步电动机定子电感通常较小,转子阻尼绕组的存在使得电机暂态电感更小。若采用转矩及磁链滞环型直接转矩控制(基本DTC)策略电机电磁转矩及定子磁链脉动较大。针对电励磁同步电动机引入一种空间矢量调制型直接转矩控制(SVM-DTC)策略。它基于电励磁同步电动机中转矩角控制电磁转矩原理,利用空间电压矢量合成出最佳电压矢量实时补偿定子磁链矢量误差,以达到减小电动机在运行中电磁转矩及定子磁链脉动量之目的,同时又能基本维持开关频率恒定。仿真和实验结果证明,与基本DTC相比较,SVM-DTC电磁转矩和定子磁链脉动大幅度降低;电机起动电流峰值大大减小,稳态电流畸变较小;同时系统能够平稳地由恒转矩区过渡到弱磁区运行。

基于FPGA的三电平风电变流器三维空间矢量调制算法

将三电平变流器拓扑应用于风电系统中可有效提高整机效率,降低电压应力,具有诸多优势。传统三电平空间矢量调制算法计算繁琐,在数字控制系统中需占用大量资源,降低了系统性能。本文针对三电平二极管中点钳位式变流器的三维空间矢量调制算法进行了研究,采用三维坐标系进行矢量计算,避免了传统空间矢量调制算法中烦琐的计算。基于现场可编程门阵列(FPGA)实现了这一算法,实验结果验证了算法的正确性。

基于FPGA的三相四线有源滤波器的电流控制方案

电流控制器作为有源电力滤波器的核心部分,直接影响着有源电力滤波器的补偿性能。为了实现电流的快速跟踪,文中将电流跟踪问题转化为变换器的电压控制进行分析,并采用一种简单的abc坐标系下的3维空间矢量调制算法,避免了繁琐的坐标变换,减小了计算复杂程度,提高了计算速度。应用一片现场可编程门阵列(FPGA)完成了固定开关频率的电流控制功能设计,并进行了编程仿真。最后给出了三相四线有源滤波器的电流控制波形的实验结果,证明了该电流控制方案的可行性和正确性。

双载体催化转换器流场和压力损失分析

用CFD软件FLUENT对载体间隙不同的3种催化转换器的速度场、压力场进行了三维稳态流动数值模拟。模拟结果显示:载体之间的间隙对催化转换器的气流分布有很大影响;对于同一长度的载体,载体间隙增大,催化转化器内的速度分布趋向不均匀,压力损失会稍微增大。

一种新型直流环节谐振逆变器的空间矢量脉宽调制方法

为了实现一种结构简单,控制方便,高效率,高功率密度的逆变器的应用,该文提出一种适合于直流环节谐振逆变器的SVPWM的数字控制策略,使每个开关周期只需要一次谐振网络的谐振就可以实现逆变桥的三个桥臂开关管的ZVS,大大减少了谐振网络的工作次数,这对减少开关损耗,提高开关频率,提高直流母线电压利用率都有很大的好处。归纳出新型SVPWM的发生逻辑并采用FPGA产生所需的SVPWM驱动脉冲以减小DSP的计算时间开销。此新型数字控制策略与传统的数字空间矢量控制之间接口非常方便,传统SVPWM的输出可作为FPGA的输入,从而可保留传统SVPWM的控制算法部分。仿真波形和实验结果验证了新型空间矢量PWM算法的正确性和可行性。