【作者】 由佳欣；

【导师】 梁慧敏；

【作者基本信息】 哈尔滨工业大学 ， 电机与电器， 2014， 博士

【摘要】 铁铬钴、铝镍钴等合金永磁材料具有非线性的去磁曲线，被称为非线性永磁体；该类永磁体具有较高的温度系数及良好的加工性能，被广泛应用于军事、航天及民用领域的继电器等微小型含永磁电磁机构中。含非线性永磁体电磁机构的参数设计、容差设计过程中，电磁系统吸力计算是关键的一环；目前使用有限元等数值方法耗时较长，而等效磁路法精度又较低；针对我国含非线性永磁体电磁设备，尤其是航天电磁极化继电器可靠性设计基础薄弱、电磁系统计算效率低的现状，通过对永磁体等效解析模型的基础研究，建立一种更适合非线性永磁体单体及含该类永磁体的磁系统等效模型，解决模型的基本微元、建模方法以及电磁机构建模等问题；从而在计算基础上提高含非线性永磁体电磁继电器的可靠性设计水平。首先，本文基于永磁体基本物理量关系以及磁通管的基本概念，建立了开路长方形非线性永磁体分布参数模型微元，推导了模型微元间的关系；对开路长方形永磁体漏磁导进行分类，推导了几类漏磁导的计算方法；提出基于磁力线划分的长方形非线性永磁体微元划分方法；以某牌号长方形非线性永磁体为例，建立了开路长方形永磁体分布参数模型，分析了模型的求解过程，求解了各分段起始工作点及截面磁通值，并与有限元模型及实测数据进行比较，验证了模型的正确性。其次，针对另外一种常见的规则形状非线性永磁体——扇形永磁体单体的分布参数模型进行研究；提出了永磁体截面磁力线的获取方法，建立了适合扇形永磁体的单层和多层分布参数模型；以某牌号开路扇形非线性永磁体为例，采用磁力线划分的方法建立了扇形永磁体分布参数模型，求解了各分段起始工作点及截面磁通值，与有限元模型相比，该方法较为接近三维有限元方法计算结果。然后，在开路长方形非线性永磁体分布参数模型的基础上，分析了某型号含长方形非线性永磁体的电磁继电器磁系统，该继电器为具有典型桥式极化磁系统的电磁继电器，将分布参数模型应用于桥式极化磁系统的建模计算过程中；建立了磁系统模型微元；确定了永磁体的分界面，提出了区域细分的灵活建模方式，建立了桥式极化磁系统分布参数模型，分析了模型中永磁衔铁的静态吸力求取方法，提出了基于牛顿法与遗传算法的桥式极化磁系统分布参数模型方程求解方法；分别计算磁系统在零安匝及吸合安匝下，不同转角的静态吸力，以及永磁体各分段磁场强度、截面磁通等物理量；对比传统集中参数模型和有限元法结果，验证了该模型的准确性，对比计算时间，考察了模型的计算效率。最后，针对分布参数模型研究过程中的实际需要，提出了针对长方形永磁体的磁通测试方法；提出了针对扇形永磁体截面磁通综合测试的方法；实测了多种形状永磁体的截面磁通，并与有限元模型进行对比，测试结果与有限元仿真结果吻合度较好；针对开路永磁体及磁系统中分布参数模型研究的需要，提出磁场图景测试系统的设计思路，搭建了基于可编程逻辑控制器（PLC）及伺服控制器的磁场图景测试系统；并实测了长方形永磁体中心截面的磁场图景，实现了磁场图景的自动化测试。本研究对于提高含非线性永磁体极化继电器的设计、分析和优化水平具有重要的理论意义和实用价值，其关键技术与理论思想可推广至其它电磁机构的分析与设计中。更多还原

【Abstract】 Nonlinear permanent magnet (NPM), such as FeCrCo and AlNiCo, has a nonlinear hysteresis curve (2nd quadrant). The NPM is often used in minitype electromagnetic devices for its high temperature coefficient and good machinability, for example electromagnetic relay (EMR). It is widely used in military, aerospace field etc.In the process of parameters design and optimization process for electromagnetic devices which have polarized magnetic system and contain NPM, the accurate and efficient calculation of attractive force is a basic and important step. There are mainly two popular ways: finite element method (FEM) and magnetic equivalent circuit method (MEC). FEM has a high level accuracy but often costs a lot of time. MEC has the superiority in its calculation speed but disadvantages in accuracy. The design and electromagnetic system (EMS) calculation ability is on a low level. The basic foundation of NPM modeling method in MEC needs to be improved. Forces on the basic calculation infinite block and the modeling method, the method which has a fast calculation speed and acceptable accuracy will be meaningful for the reliability design of EMR.Firstly, based on the pricinple of magnetic flux tube, a distributed parameter calculation model (DPM) was established. The infinite block was built for rectangle NPM. The relationship between infinite blocks was deduced. The solution procedure as well as verification condition of this model was given; By a case study of the single rectangle NPM, the method of magnetic field lines division (MFLB) was present and adopted to build the permanent magnet DPM, the whole DPM model of rectangle NPM was built, the starting point and section magnetic flux of each subsection were solved; compared with FEM and test data this model proves to be of acceptable calculation accuracy and high calculation speed.Secondly, for the other typical shape of NPM—sector NPM, the distribution parameter model for sector NPM was researched; the gathering method for section flux distribution was present; a improved model for sector NPM were present based on the MFLB method the whole DPM model of sector NPM was built, the starting point and section magnetic flux of each subsection were solved; the calculation results of sector NPM were similar to FEM calculation data. This model was verified by FEM data.Thirdly, based on the research of open circuit NPM, the electromagnetic structure of a type of bridge polarized magnetic system (BPMS) was analized; the MFLB distribution parameter model was used to build the calculation model of BPMS; the finite block was built; the interface of rectangle NPM in BPMS was determined; a local region fine division method was present; the whole distribution parameter model of EMR was built; the leakage permeance calculation formulas were deduced; the static attractive force calculation method was analyzied; the newton method and the genetic algorithm method were used to calculate the force under different ampere-turn of0and±120At and different rotation angle of armature; compared with3D-FEM calculation data; the other parameters such as magnetic flux density and section magnetic flux were also calculated; the calculation accuracy was higher than2D-FEM and MEC, and the calculation time consumption was far less than3D-FEM.At last, according to the practical need in the research of distribution parameter model, the section magnetic flux test method for rectangle NPM was present; the test equipment was manufactured; the test for cylinder and annulus NPM were also realized at the same time; the test method for sector NPM was present too; cooperating with the servo control system the test equipment for sector NPM was manufactured for the special need of sector NPM; compared with the FEM test data, the equipment achieved the task accurately; the test method and the design thought for the section magnetic field image test of NPM were present; the control strategy for2D motion platform based on PLC was studied; the software and hardware of test system were realized based on the motion control platform; the automatic test of magnetic field image for rectangle NPM was realized.The research proposed in this paper are of important theoretical significance and practical value for the design, analysis and optimization of EMR which contain NPM, the basic thought and relevant key technology can be extended to other electromagnetic devices.更多还原