数学分析

The interference of ambient temperature and external electromagnetism with Rogowskicoil were investigated by mathematical models. The relations between relative measurementerror resulting from temperature and heat distensibility coefficient of coil's framework andwindingcoilwerecarriedout. Theinfluenceofelectromagnetisminterferenceontheaccuracyof Rogowski coil, as well as the effect of temperature on integraph, were studied.

利用建立的Rogowski线圈的数学模型对温度和外界干扰磁场的影响进行了分析，得出了温度造成的相对误差与线圈骨架和绕组线圈热膨胀系数之间的关系；从两个方向上分析了干扰磁场对线圈精度的影响；分析了温度对积分器的影响等。

Furthermore, as stresses in the stress field influence the value of seepage coefficient k, which will results in the change of seepage field in the end, while on the other hand, the seepage field also has an effect on the stress field because of seepage forces. Based on the coupling model of seepage field and stress field, a program by finite element method is developed in this paper. And the comparison of results of the program and criterion method with that of test shows that the test results are reasonable, which can be referred to analyze the causes of dangers, evaluate degree of safety of the body and foundation, and design and optimize the measures of seepage control.

此外，考虑到应力场中的应力会改变土体渗透系数进而影响渗流场、而渗流场也因其产生的渗透力会导致应力场发生变化，两者之间存在耦合作用，本文基于渗流场应力场耦合分析的数学模型编制了渗流计算有限元程序CCOSAS1.0，其计算结果和采用规范方法所获得的解答与实测值的对比分析表明，该规律合理且具有一定的代表性，可用以分析险情发生原因、评价堤身堤基安全状况及设计与优化渗流控制措施。

The results are displayed vividly in virtual scene which is established with program language of Visual C++ and OpenGL. At present flow field simulation manner mostly has time delay, deficient controllability, so this paper brings forward the methods of drawing flow velocity vector graphics with OpenGL in the 3D virtual scene to simulate and analyze flow field. At the same time cross section and flood analysis are completed. Accordingly, it assists flood flow field visualization and provides the more effective analysis method for the flood mathematics model research and application.

针对目前流场模拟方式大多存在模拟时间滞后、缺乏可控性等问题，本文提出基于水力学模型计算得到的流速数据，在三维虚拟场景中利用OpenGL绘制洪水流速矢量图的方法进行流场动态模拟分析，在流速变化较大区域和需要重点观测区域，提取断面，分析断面和洪水淹没情况，从而解决洪水流场数值可视化的问题，为洪水数学模型的研究与应用提供更加直观有效的分析手段。

In this article two functional modes of the Fly-back Converter (Continuous Conduct Mode and Discontinuous Conduct Mode) are particularly analyzed, which include their characteristics, applications, the critical pattern of two functional modes is argued, both the exact boundary from the angle of circuit parameters is crystallized, at the same time, basic principle of PFC under the DCM mode is introduced, which settle theoretical basis for the subsequent design; by establishing the mathematic model of the converter, a further investigation of the configuration is made, qualitatively and quantitatively, analyzed to settle exactly theoretical basis for the subsequent emulation and the experimental parameter; from the angle of steady-state analysis, the transfer function of the system is deduced to establish dynamic small-signal state equation, emulating the system with the help of matlab, then according to the simulation result and the theory of PFC revise the system, lastly, we adopt the project which add a zero-pole compensator to the voltage loop, by this way, a satisfied system performance is gained and the PFC scheme is ensured successfully; finally, based on the previously-done work, we combining with the situation of specific design requirement, acquired the numerical value of each unit devices in this converter

详细分析了反激式变换器的两种工作状态，连续模式(Continuous Conduct Mode ，简称CCM)和断续模式(Discontinuous Conduct Mode，简称DCM)以及各自的特点、应用场合，论证了两种工作状态的临界模式，从电路参数的角度明确了二者的界限，同时还介绍了DCM模式下PFC的基本原理，为后面的设计奠定理论基础；通过对整个变换器系统建立准确的数学模型，对此变换器的电路结构做了进一步的研究，定性、定量地分析了变换器各部分的工作状态，为仿真和实验参数的确定以及电路参数的优化提供理论依据；从稳态分析的角度，为系统建立了动态小信号状态方程并推导出系统的传递函数，利用matlab对系统进行仿真，进而根据仿真结果以及PFC的相关理论对系统进行校正，采用在电压环加入零点—极点补偿器的设计方案，得到了满意的系统特性并且保证了PFC的顺利实现；最后，在前面所做工作的基础上，结合设计要求计算出此变换器系统中每个元器件的数值，利用Pspice对其进行了仿真、优化，然后根据仿真结果搭建了硬件电路。

Adaptive filter theory, method and advantages are expatiated based on the analysis of FOG principle, random signal process and statistical mathematics. Then the main algorithms of adaptive filter – LMS and RLS are analyzed in detail.

在分析了光纤陀螺的基本原理、随机信号与统计分析等数学理论的基础上，阐述了自适应滤波的原理、方法和意义，接着对自适应滤波中的LMS和RLS算法在理论上进行了详细的分析，针对VG941的数据特点进行软、硬件设计。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

Based studies were done on radiation spectrum, voltage to current character and modulation property of white LEDs when they are used as optical transmitters. Then the configuration and systematic design techniques are concentrated concerning white LED lighting source communication with numerical analyses and computer simulations done as well as high speed modulation techniques, visible light receiver design and means to alleviate inter symbol interference along with background noise problem.

在对白光LED用作通信光源时的光谱特性、伏安特性、调制特性等物理特性做深入分析的基础上，重点研究了白光LED照明光源通信系统的组成结构和系统设计，进行了数学计算分析模拟，并设计出了白光LED高速调制电路和可见光接收电路，并就如何削弱码间串扰和背景光噪声对通信系统的影响进行了讨论分析。

After contrasting and optimizing this paper gets a set of parameters. Then according to these parameters the paper sets up entity model, and after validating and analyzing with finite element it can save time of calculating. On the other hand, it can provide a good method of design of moldboard plow surface.

通过对这四个阶段中土垡的运动学和动力学分析研究，建立了犁体牵引阻力的数学模型；通过对比分析得到较优的一组参数，然后以该组参数为依据进行参数优化，最后以优化后的参数建立犁体实体模型，应用有限元进行分析，节省了计算时间和提高了计算效率，为今后犁体曲面设计提供了一种方法。

This paper analyses and calculates the plow parameters about two kinds of high speed plows LEMKEN and KUHN, and studys the relation between the geometric parameters of shape of moldboard plow surface and soil properties, plowing quality, forces properties, plowing speed, resistance and energy dissipation during the plowing. Then according to the direction of developing high efficiency and saving-energy agriculture, under the premise of good farming quality this article puts forward a kind of method setting the mathematics model about plow resistance through the new cultivation principle and the new design principle.

本文通过对比分析的手段对LEMKEN和KUHN两种高速犁参数两种犁体曲面参数进行量化分析计算，分析犁体曲面形状的几何参数与耕后质量、土壤的力学特性、耕速、阻力和功率消耗等相关关系，结合目前高效节能型农业的发展方向，提出在保证作业质量的前提下，应用新型耕作理论和新型设计理论建立牵引阻力数学模型。

The basic equations of centrifugal pump on steady and unsteady process were educed based on theory of momentum and moment in order to analyze the transient hydrodynamic performance of centrifugal pump.

为了对离心泵快速开启过程的瞬态效应进行分析，根据动量矩定理分别推导转速稳定和不稳定时的离心式水泵基本方程式，给出了叶轮旋转加速和流体加速对性能影响的数学描述方程，为进一步理论分析和数值计算打下基础，并结合一台快速启动的混流泵进行实例分析。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。