CN118330525A - A device and method for measuring AC magnetic susceptibility of large-size objects - Google Patents
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Abstract
本申请公开了一种大尺寸物体交流磁化率的测量装置及其测量方法,其中,测量装置包括:磁场产生机构,包括几何中心重合且半径不同的两对亥姆霍兹线圈,两对亥姆霍兹线圈通入频率间隔变化的反向正弦电流,用于产生覆盖样品所在区域的均匀磁场和远离样品的磁场幅值零点;相位参考机构,用于提供并测量与均匀磁场同相位的参考相位;控制机构,用于根据参考相位以及磁场测量机构测得的线圈残余背景磁场和叠加场的幅值和相位,计算样品在不同正弦电流频率处的磁化率的相位和模值。本申请能够对厘米级以上的大尺寸物体进行交流磁化率测量,能够提供交流磁化率测量所需的均匀磁场,同时能够降低交流磁矩不均匀分布带来的测量误差。
The present application discloses a device and method for measuring the AC magnetic susceptibility of a large-sized object, wherein the measuring device comprises: a magnetic field generating mechanism, comprising two pairs of Helmholtz coils with overlapping geometric centers and different radii, the two pairs of Helmholtz coils being fed with reverse sinusoidal currents with varying frequency intervals, for generating a uniform magnetic field covering the area where the sample is located and a magnetic field amplitude zero point away from the sample; a phase reference mechanism, for providing and measuring a reference phase in phase with the uniform magnetic field; a control mechanism, for calculating the phase and modulus of the magnetic susceptibility of the sample at different sinusoidal current frequencies based on the reference phase and the amplitude and phase of the coil residual background magnetic field and superposition field measured by the magnetic field measuring mechanism. The present application can measure the AC magnetic susceptibility of large-sized objects above the centimeter level, can provide the uniform magnetic field required for the AC magnetic susceptibility measurement, and can reduce the measurement error caused by the uneven distribution of the AC magnetic moment.
Description
技术领域Technical Field
本申请属于空间引力波探测中的材料磁特性测量领域,更具体地,涉及一种大尺寸物体交流磁化率的测量装置及其测量方法。The present application belongs to the field of material magnetic property measurement in space gravitational wave detection, and more specifically, to a device and method for measuring the alternating current magnetic susceptibility of a large-sized object.
背景技术Background technique
在空间引力波探测中,需要探测1mHz至10Hz范围内的引力波信号。由于引力波信号极端微弱,因此对检验质量所受到的干扰力的大小提出了严苛的要求。在检验质量所受的干扰力中,检验质量的磁化率与外界磁场的耦合产生的磁力噪声是引力波探测中的主要的噪声来源。根据国内外的相关研究,高于10Hz的高频磁场能够通过差频的方式将磁力耦合到低频信号中,从而对引力波探测造成干扰。并且由于检验质量为合金材料,其磁化率随磁场的频率会发生变化,因此,对检验质量的磁化率进行频率特性测量也即交流磁化率测量,对评估检验质量的磁噪声具有重要意义。In space gravitational wave detection, it is necessary to detect gravitational wave signals in the range of 1mHz to 10Hz. Since the gravitational wave signal is extremely weak, strict requirements are placed on the magnitude of the interference force on the test mass. Among the interference forces on the test mass, the magnetic noise generated by the coupling of the magnetic susceptibility of the test mass with the external magnetic field is the main source of noise in gravitational wave detection. According to relevant research at home and abroad, high-frequency magnetic fields above 10Hz can couple magnetic force to low-frequency signals by difference frequency, thereby interfering with gravitational wave detection. And because the test mass is an alloy material, its magnetic susceptibility will change with the frequency of the magnetic field. Therefore, the frequency characteristic measurement of the magnetic susceptibility of the test mass, that is, the AC magnetic susceptibility measurement, is of great significance for evaluating the magnetic noise of the test mass.
由于检验质量的尺寸达到了几厘米,目前的商用仪器如VSM、SQUID等无法对其交流磁化率进行测量。扭秤测量方法在不久前被应用于交流磁化率的测量当中,但是扭秤存在测量过程比较繁琐,测量周期长,测量需要维持高真空环境,更换样品不方便等缺点,,不利于高效的对材料的磁性进行系统性研究。中国专利CN 115718273 A提出了一种基于磁感应强度的磁化率测量装置及方法,但该装置施加给样品的为梯度磁场,交流磁化率的定义为样品在均匀磁场的作用下产生的总磁矩与外加磁场的比值,因为在高频交流磁场情况下,由于趋肤效应等因素的存在,样品的磁矩不再是均匀分布的,使得梯度场测量得到样品交流磁化率不再有明确的物理意义,因此该装置不适用于交流磁化率的测量。Since the size of the test mass reaches several centimeters, current commercial instruments such as VSM and SQUID cannot measure its AC magnetic susceptibility. The torsion balance measurement method was recently applied to the measurement of AC magnetic susceptibility, but the torsion balance has the disadvantages of cumbersome measurement process, long measurement cycle, high vacuum environment required for measurement, inconvenient sample replacement, etc., which is not conducive to efficient systematic research on the magnetism of materials. Chinese patent CN 115718273 A proposes a magnetic susceptibility measurement device and method based on magnetic induction intensity, but the device applies a gradient magnetic field to the sample. The AC magnetic susceptibility is defined as the ratio of the total magnetic moment generated by the sample under the action of a uniform magnetic field to the external magnetic field. Because in the case of a high-frequency AC magnetic field, due to the presence of factors such as the skin effect, the magnetic moment of the sample is no longer uniformly distributed, so that the AC magnetic susceptibility of the sample obtained by the gradient field measurement no longer has a clear physical meaning, so the device is not suitable for the measurement of AC magnetic susceptibility.
发明内容Summary of the invention
针对现有技术的缺陷,本申请的目的在于提供一种大尺寸物体交流磁化率的测量装置及其测量方法,能够对厘米级以上的大尺寸物体进行交流磁化率测量。In view of the defects of the prior art, the purpose of the present application is to provide a device and method for measuring the AC magnetic susceptibility of large-sized objects, which can measure the AC magnetic susceptibility of large-sized objects above the centimeter level.
为实现上述目的,第一方面,本申请提供了一种大尺寸物体交流磁化率的测量装置,包括磁场产生机构、磁场测量机构、相位参考机构和控制机构;To achieve the above-mentioned purpose, in a first aspect, the present application provides a device for measuring the AC magnetic susceptibility of a large-sized object, comprising a magnetic field generating mechanism, a magnetic field measuring mechanism, a phase reference mechanism and a control mechanism;
所述磁场产生机构,包括几何中心重合且半径不同的两对亥姆霍兹线圈,半径小的亥姆霍兹线圈设置在半径大的亥姆霍兹线圈的内侧,两对亥姆霍兹线圈通入频率间隔变化的反向正弦电流,用于产生覆盖样品所在区域的均匀磁场和远离样品的磁场幅值零点;The magnetic field generating mechanism comprises two pairs of Helmholtz coils with overlapping geometric centers and different radii, wherein the Helmholtz coil with a smaller radius is arranged inside the Helmholtz coil with a larger radius, and reverse sinusoidal currents with varying frequency intervals are passed through the two pairs of Helmholtz coils to generate a uniform magnetic field covering the area where the sample is located and a magnetic field amplitude zero point away from the sample;
所述磁场测量机构,设置在所述磁场幅值零点处,其到两对亥姆霍兹线圈几何中心的距离大于10倍样品沿磁场方向的尺寸,用于当样品远离和靠近时测量其所在位置点处的磁场和相位;其中,样品靠近时,样品位于所述磁场产生机构产生的磁场均匀区;The magnetic field measuring mechanism is arranged at the zero point of the magnetic field amplitude, and the distance between the magnetic field measuring mechanism and the geometric center of the two pairs of Helmholtz coils is greater than 10 times the size of the sample along the magnetic field direction, and is used to measure the magnetic field and phase at the position point when the sample moves away from and approaches; wherein, when the sample approaches, the sample is located in the uniform magnetic field area generated by the magnetic field generating mechanism;
所述相位参考机构,用于提供并测量与均匀磁场同相位的参考相位;The phase reference mechanism is used to provide and measure a reference phase that is in phase with the uniform magnetic field;
所述控制机构,用于根据所述参考相位,以及样品远离和靠近时所述磁场测量机构测得的磁场和相位,计算样品在不同正弦电流频率处的磁化率的相位和模值,得到样品在一定频率范围内的磁化率频谱分布。The control mechanism is used to calculate the phase and modulus of the magnetic susceptibility of the sample at different sinusoidal current frequencies based on the reference phase and the magnetic field and phase measured by the magnetic field measurement mechanism when the sample is far away from and close to it, so as to obtain the magnetic susceptibility spectrum distribution of the sample within a certain frequency range.
本申请提供的大尺寸物体交流磁化率的测量装置,采用两对亥姆霍兹线圈产生一个远离样品的磁场幅值零点,磁场幅值零点的位置能够通过调节线圈的半径和匝数来进行调节,从而能实现对不同尺寸样品的交流磁化率测量;且将磁场测量机构设置在磁场幅值零点处,通过调节线圈的半径和匝数使磁场测量机构到两对亥姆霍兹线圈几何中心的距离远大于样品沿均匀磁场方向的尺寸,能有效降低交流磁矩不均匀分布带来的测量误差。The present application provides a device for measuring the AC magnetic susceptibility of a large-sized object, which uses two pairs of Helmholtz coils to generate a magnetic field amplitude zero point far away from the sample. The position of the magnetic field amplitude zero point can be adjusted by adjusting the radius and number of turns of the coil, thereby enabling the measurement of the AC magnetic susceptibility of samples of different sizes; and a magnetic field measuring mechanism is set at the magnetic field amplitude zero point, and the radius and number of turns of the coil are adjusted to make the distance from the magnetic field measuring mechanism to the geometric center of the two pairs of Helmholtz coils much larger than the size of the sample along the direction of the uniform magnetic field, which can effectively reduce the measurement error caused by the uneven distribution of the AC magnetic moment.
作为进一步优选的,所述样品为检验质量。As further preferred, the sample is for inspection quality.
作为进一步优选的,所述相位参考机构包括远离样品设置的相位参考线圈和用于测量该相位参考线圈所产生磁场的磁力仪,所述相位参考线圈与两对亥姆霍兹线圈串联。As further preferred, the phase reference mechanism comprises a phase reference coil arranged far away from the sample and a magnetometer for measuring the magnetic field generated by the phase reference coil, and the phase reference coil is connected in series with two pairs of Helmholtz coils.
作为进一步优选的,当样品远离时,磁场测量机构测量得到线圈残余背景磁场的幅值Bz0和相位当样品靠近时,磁场测量机构测量得到线圈残余背景磁场和样品在均匀磁场作用下产生的感应磁场的叠加场的幅值Bz2和相位 As a further preferred embodiment, when the sample is far away, the magnetic field measurement mechanism measures the amplitude B z0 and phase of the residual background magnetic field of the coil. When the sample approaches, the magnetic field measurement mechanism measures the amplitude B z2 and phase of the superposition field of the residual background magnetic field of the coil and the induced magnetic field generated by the sample under the action of the uniform magnetic field.
样品在正弦电流频率为ω处的磁化率的模值|χ(ω)|的计算公式为:The calculation formula of the modulus value of the magnetic susceptibility of the sample at the sinusoidal current frequency ω |χ(ω)| is:
感应磁场的幅值Bz1和相位的计算公式为:The amplitude B z1 and phase of the induced magnetic field The calculation formula is:
样品在正弦电流频率为ω处的磁化率的相位的计算公式为:The phase of the magnetic susceptibility of the sample at a sinusoidal current frequency of ω The calculation formula is:
式中,为相位参考机构测得的参考相位;为线圈残余背景磁场的相位值, 为叠加场的相位值,K为与磁场测量机构和两对亥姆霍兹线圈几何中心两者相对位置有关的常数矩阵;V为样品的体积;H为均匀磁场的大小。In the formula, The reference phase measured by the phase reference mechanism; is the phase value of the coil residual background magnetic field, is the phase value of the superposition field, K is a constant matrix related to the relative positions of the magnetic field measurement mechanism and the geometric centers of the two pairs of Helmholtz coils; V is the volume of the sample; and H is the size of the uniform magnetic field.
作为进一步优选的,还包括位移机构和样品移动机构;As a further preferred embodiment, it also includes a displacement mechanism and a sample moving mechanism;
所述位移机构用于调节样品的方位,使样品远离或靠近磁场测量机构;所述样品移动机构用于调节磁场测量机构的空间位置,使所述磁场测量机构中的敏感元件位于所述磁场幅值零点处。The displacement mechanism is used to adjust the orientation of the sample so that the sample is away from or close to the magnetic field measuring mechanism; the sample moving mechanism is used to adjust the spatial position of the magnetic field measuring mechanism so that the sensitive element in the magnetic field measuring mechanism is located at the zero point of the magnetic field amplitude.
作为进一步优选的,所述位移机构包括磁力仪安装平台、磁力仪支架和位移台,所述磁场测量机构固定在磁力仪安装平台上,磁力仪安装平台与磁力仪支架刚性连接,磁力仪支架安装在位移台上,所述位移台用于接收并根据控制机构发送的第一控制信号调节磁场测量机构的空间位置。As a further preferred embodiment, the displacement mechanism includes a magnetometer mounting platform, a magnetometer bracket and a displacement table, the magnetic field measuring mechanism is fixed on the magnetometer mounting platform, the magnetometer mounting platform is rigidly connected to the magnetometer bracket, the magnetometer bracket is mounted on the displacement table, and the displacement table is used to receive and adjust the spatial position of the magnetic field measuring mechanism according to the first control signal sent by the control mechanism.
作为进一步优选的,所述样品移动机构包括输送带、样品台支架、输送带安装平台和电机,样品台支架安装在地面上,输送带安装平台固定在样品台支架上,输送带安装平台上设有两个轴承,输送带套设在两个轴承上,样品放置在输送带上,电机通过传动带连接轴承,电机用于接收并根据控制机构发送的第二控制信号驱动轴承转动,从而带动输送带运动,使样品远离或靠近磁场测量机构。As a further preferred embodiment, the sample moving mechanism includes a conveyor belt, a sample stage bracket, a conveyor belt mounting platform and a motor. The sample stage bracket is installed on the ground, the conveyor belt mounting platform is fixed on the sample stage bracket, two bearings are provided on the conveyor belt mounting platform, the conveyor belt is sleeved on the two bearings, the sample is placed on the conveyor belt, the motor is connected to the bearings through a transmission belt, and the motor is used to receive and drive the bearings to rotate according to the second control signal sent by the control mechanism, thereby driving the conveyor belt to move, so that the sample is away from or close to the magnetic field measurement mechanism.
作为进一步优选的,所述磁场产生机构固定在线圈安装平台上,所述线圈安装平台采用无磁非金属材料制成,所述线圈安装平台和样品移动机构安装在隔振平台上。As a further preference, the magnetic field generating mechanism is fixed on a coil mounting platform, the coil mounting platform is made of non-magnetic non-metallic material, and the coil mounting platform and the sample moving mechanism are mounted on a vibration isolation platform.
作为进一步优选的,两对亥姆霍兹线圈与线圈安装平台之间以及线圈安装平台与隔振平台之间采用刚性连接。As a further preference, a rigid connection is adopted between the two pairs of Helmholtz coils and the coil mounting platform, and between the coil mounting platform and the vibration isolation platform.
第二方面,本申请提供了一种基于上述所述的大尺寸物体交流磁化率的测量方法,包括如下步骤:In a second aspect, the present application provides a method for measuring the AC magnetic susceptibility of a large-sized object based on the above, comprising the following steps:
根据两对亥姆霍兹线圈的参数计算磁场幅值零点处,将磁场测量机构放置在该磁场幅值零点处附近;The magnetic field amplitude zero point is calculated according to the parameters of the two pairs of Helmholtz coils, and the magnetic field measurement mechanism is placed near the magnetic field amplitude zero point;
向两对亥姆霍兹线圈通入方向相反的方波电流,并将磁场测量机构朝线圈轴向方向移动,同时观察磁场测量机构测得的磁场变化情况,直到测得的磁场幅值降低在设定范围内时,将磁场测量机构保持在该位置点;Pass square wave currents in opposite directions through the two pairs of Helmholtz coils, and move the magnetic field measuring mechanism toward the axial direction of the coils, while observing the change of the magnetic field measured by the magnetic field measuring mechanism, until the measured magnetic field amplitude decreases within the set range, and then keep the magnetic field measuring mechanism at this position;
将相位参考机构远离样品放置,并将其与两对亥姆霍兹线圈串联;Place the phase reference mechanism away from the sample and connect it in series with the two pairs of Helmholtz coils;
将样品远离磁场测量机构,然后向两对亥姆霍兹线圈通入频率ω的反向正弦电流,磁场测量机构对线圈残余背景磁场进行测量;测量一段时间后,将样品靠近磁场测量机构并保持一段时间,磁场测量机构对线圈残余背景磁场和样品在均匀磁场作用下产生的感应磁场的叠加场进行测量;The sample is moved away from the magnetic field measurement mechanism, and then a reverse sinusoidal current with a frequency of ω is passed through the two pairs of Helmholtz coils, and the magnetic field measurement mechanism measures the residual background magnetic field of the coils; after measuring for a period of time, the sample is moved close to the magnetic field measurement mechanism and kept for a period of time, and the magnetic field measurement mechanism measures the superposition field of the residual background magnetic field of the coils and the induced magnetic field generated by the sample under the action of the uniform magnetic field;
控制机构根据相位参考机构测得的参考相位以及线圈残余背景磁场和叠加场的幅值和相位,计算样品在频率ω处的磁化率的相位和模值;The control mechanism calculates the phase and modulus of the magnetic susceptibility of the sample at the frequency ω according to the reference phase measured by the phase reference mechanism and the amplitude and phase of the coil residual background magnetic field and the superposition field;
改变正弦电流的频率,对样品在其他频率处的磁化率的相位和模值进行测量,最终得到样品在一定频率范围内的磁化率频谱分布。By changing the frequency of the sinusoidal current, the phase and modulus of the magnetic susceptibility of the sample at other frequencies are measured, and finally the spectral distribution of the magnetic susceptibility of the sample within a certain frequency range is obtained.
可以理解的是,上述第二方面的有益效果可以参见上述第一方面中的相关描述,在此不再赘述。It can be understood that the beneficial effects of the second aspect mentioned above can be found in the relevant description of the first aspect mentioned above, and will not be repeated here.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是本申请一实施例提供的大尺寸物体交流磁化率的测量装置的结构图;FIG1 is a structural diagram of a device for measuring AC magnetic susceptibility of a large-sized object provided in one embodiment of the present application;
图2是本申请一实施例提供的外加磁场的轴向分布图;FIG2 is an axial distribution diagram of an external magnetic field provided in an embodiment of the present application;
图3是本申请具体实施例测得的在1500Hz时的时域曲线图;FIG3 is a time domain curve diagram at 1500 Hz measured in a specific embodiment of the present application;
图4是本申请具体实施例测得的在1500Hz时的频域曲线图;FIG4 is a frequency domain curve diagram at 1500 Hz measured in a specific embodiment of the present application;
图5是本申请具体实施例测得的在1Hz到1500Hz范围内的交流磁化率的模值谱图;FIG5 is a mode value spectrum of AC magnetic susceptibility in the range of 1 Hz to 1500 Hz measured in a specific embodiment of the present application;
图6是本申请具体实施例测得的在1Hz到1500Hz范围内的交流磁化率的相位谱图。FIG. 6 is a phase spectrum diagram of AC magnetic susceptibility in the range of 1 Hz to 1500 Hz measured in a specific embodiment of the present application.
在所有附图中,相同的附图标记用来表示相同的元件或结构,其中,1为一对大亥姆霍兹线圈,1为一对小亥姆霍兹线圈,3为磁场测量机构中的磁力仪,4为磁力仪安装平台、5为磁力仪支架,6为位移台,7为相位参考线圈,8为相位参考机构中的磁力仪,9为隔振平台,10为线圈安装平台,11为步进电机,12为样品台支架,13为传动带,14为轴承,15为输送带安装平台,16为输送带。In all the drawings, the same figure numbers are used to represent the same elements or structures, wherein 1 is a pair of large Helmholtz coils, 1 is a pair of small Helmholtz coils, 3 is a magnetometer in a magnetic field measurement mechanism, 4 is a magnetometer mounting platform, 5 is a magnetometer bracket, 6 is a displacement table, 7 is a phase reference coil, 8 is a magnetometer in a phase reference mechanism, 9 is a vibration isolation platform, 10 is a coil mounting platform, 11 is a stepper motor, 12 is a sample stage bracket, 13 is a transmission belt, 14 is a bearing, 15 is a conveyor belt mounting platform, and 16 is a conveyor belt.
具体实施方式Detailed ways
为了使本申请的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本申请进行进一步详细说明。应当理解,此处所描述的具体实施例仅用以解释本申请,并不用于限定本申请。In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.
需要理解的是,在本申请的描述中,术语“若干”的含义是至少一个,例如一个,两个等,除非另有明确具体的限定;术语“多个”的含义是两个或两个以上,除非另有明确具体的限定;术语“第一”和“第二”等是用于区别不同的对象,而不是用于描述对象的特定顺序;术语“及/或”包括一个或多个相关的所列项目的任意的和所有的组合。It should be understood that, in the description of the present application, the term "several" means at least one, such as one, two, etc., unless otherwise clearly and specifically defined; the term "plurality" means two or more, unless otherwise clearly and specifically defined; the terms "first" and "second" etc. are used to distinguish different objects rather than to describe a specific order of objects; the term "and/or" includes any and all combinations of one or more related listed items.
另外,贯穿本说明书对“一个实施例”的引用;“一个实施例”、“一个示例”或类似的语言表示结合该实施例描述的特定特征、结构或特性包括在本申请的至少一个实施例中。因此,短语“在一个实施例中;”的出现贯穿本说明书的“在一个实施例中”和类似的语言可能但不一定都指代相同的实施例。In addition, references throughout this specification to "one embodiment," "one embodiment," "an example," or similar language indicate that a particular feature, structure, or characteristic described in conjunction with the embodiment is included in at least one embodiment of the present application. Thus, appearances of the phrase "in one embodiment," "in one embodiment," and similar language throughout this specification may, but do not necessarily, all refer to the same embodiment.
本申请提供了一种大尺寸物体交流磁化率的测量装置,可用于对厘米级以上尺寸的样品进行交流磁化率测量,比如检验质量。图1是本申请一实施例提供的大尺寸物体交流磁化率的测量装置的结构图,如图1所示,该测量装置包括磁场产生机构、磁场测量机构、相位参考机构和控制机构(图中未示出)。The present application provides a device for measuring the AC magnetic susceptibility of a large-sized object, which can be used to measure the AC magnetic susceptibility of a sample with a size of centimeters or above, such as to inspect the quality. FIG1 is a structural diagram of a device for measuring the AC magnetic susceptibility of a large-sized object provided by an embodiment of the present application. As shown in FIG1 , the measuring device includes a magnetic field generating mechanism, a magnetic field measuring mechanism, a phase reference mechanism, and a control mechanism (not shown in the figure).
其中,磁场产生机构包括半径不同的两对亥姆霍兹线圈(即一对大亥姆霍兹线圈1和一对小亥姆霍兹线圈2),两对亥姆霍兹线圈的几何中心重合,其中小亥姆霍兹线圈2设置在大亥姆霍兹线圈1的内侧。The magnetic field generating mechanism includes two pairs of Helmholtz coils with different radii (i.e., a pair of large Helmholtz coils 1 and a pair of small Helmholtz coils 2), the geometric centers of the two pairs of Helmholtz coils coincide, and the small Helmholtz coil 2 is arranged on the inner side of the large Helmholtz coil 1.
工作时,利用外部变频正弦电源向两对亥姆霍兹线圈通入频率间隔变化的反向正弦电流,用于产生两个均匀区长度不同且方向相反的外加磁场,该磁场分布使样品处于均匀磁场之中,同时在距离样品一定的距离处产生一个磁场幅值为零的点。During operation, an external variable frequency sinusoidal power supply is used to pass reverse sinusoidal currents with varying frequency intervals through two pairs of Helmholtz coils to generate two external magnetic fields with different uniform regions and opposite directions. This magnetic field distribution places the sample in a uniform magnetic field and generates a point with zero magnetic field amplitude at a certain distance from the sample.
根据两对亥姆霍兹线圈的磁场分布可知,本实施例提供的磁场幅值零点的位置以及磁场均匀区的体积是由大小两对线圈半径之比和匝数之比共同决定的。因此,本实施例提供的磁场幅值零点的位置以及磁场均匀区的体积可通过改变两对线圈半径和匝数来进行调节,从而实现对不同尺寸样品的交流磁化率测量。According to the magnetic field distribution of the two pairs of Helmholtz coils, the position of the magnetic field amplitude zero point and the volume of the magnetic field uniform area provided in this embodiment are jointly determined by the ratio of the radius of the two pairs of coils and the ratio of the number of turns. Therefore, the position of the magnetic field amplitude zero point and the volume of the magnetic field uniform area provided in this embodiment can be adjusted by changing the radius and the number of turns of the two pairs of coils, thereby realizing the AC magnetic susceptibility measurement of samples of different sizes.
磁场测量机构可采用对磁场梯度不敏感的磁力仪3,如磁通门磁力仪,磁力仪3的敏感元件设置在磁场产生机构产生的磁场幅值零点处,可降低亥姆霍兹线圈在磁力仪3处产生的残余背景磁场。The magnetic field measuring mechanism may adopt a magnetometer 3 that is insensitive to magnetic field gradient, such as a fluxgate magnetometer. The sensitive element of the magnetometer 3 is arranged at the zero point of the magnetic field amplitude generated by the magnetic field generating mechanism, which can reduce the residual background magnetic field generated by the Helmholtz coil at the magnetometer 3.
本实施例提供的磁力仪3用于当样品远离或靠近时,测量其所在位置点处的磁场的幅值和相位。即当样品远离磁力仪3时,即远端测量时,样品在外加磁场作用下产生的感应磁场几乎为0,磁力仪3测得的信号仅为线圈残余背景磁场的幅值和相位;当样品靠近磁力仪3时,即近端测量时,样品位于磁场产生机构产生的磁场均匀区,此时磁力仪3测得的信号为线圈残余背景磁场和样品在外加磁场下产生的感应磁场的叠加场的幅值和相位。The magnetometer 3 provided in this embodiment is used to measure the amplitude and phase of the magnetic field at the location point when the sample is far away from or close to it. That is, when the sample is far away from the magnetometer 3, that is, when measuring at the far end, the induced magnetic field generated by the sample under the action of the external magnetic field is almost 0, and the signal measured by the magnetometer 3 is only the amplitude and phase of the residual background magnetic field of the coil; when the sample is close to the magnetometer 3, that is, when measuring at the near end, the sample is located in the magnetic field uniform area generated by the magnetic field generating mechanism, and the signal measured by the magnetometer 3 at this time is the amplitude and phase of the superposition field of the residual background magnetic field of the coil and the induced magnetic field generated by the sample under the external magnetic field.
可以理解的是,体积为V的样品在r′点处产生的感应磁场的计算公式为:It can be understood that the calculation formula for the induced magnetic field generated by a sample with a volume of V at point r' is:
式中,r是样品内的某个磁偶极子m(r)的位置坐标矢量,m(r)为r点处的磁矩,r′代表测量点(磁力仪3)的位置坐标矢量。式中积分遍及样品的整个体积V。Where r is the position coordinate vector of a magnetic dipole m(r) in the sample, m(r) is the magnetic moment at point r, and r′ represents the position coordinate vector of the measurement point (magnetometer 3). The integral is over the entire volume V of the sample.
以立方体样品为例,磁偶极子近似的判定条件为:样品的几何参量V1/3对感应磁场测量值B(r′)的影响可以忽略,即样品上不同位置的磁矩在测量点处产生的磁场几乎是相等的。满足该条件则需要样品到亥姆霍兹线圈中心的距离远大于样品沿外加磁场方向的尺寸。Taking a cubic sample as an example, the condition for determining the magnetic dipole approximation is that the influence of the sample's geometric parameter V 1/3 on the induced magnetic field measurement value B(r') can be ignored, that is, the magnetic field generated by the magnetic moments at different positions on the sample at the measurement point is almost equal. To meet this condition, the distance from the sample to the center of the Helmholtz coil must be much larger than the size of the sample along the direction of the external magnetic field.
为了更好的将样品等效为一个磁偶极子,从而使交流磁矩的不均匀分布引起的磁化率测量误差可以被忽略,一般需满足D/L≥10,其中,L代表样品沿外加磁场方向的尺寸,D代表磁力仪3到亥姆霍兹线圈中心的距离,D与大小两对亥姆霍兹线圈的匝数比有关,当大线圈的匝数比上小线圈的匝数越小时,D越大,反之,则D越小。In order to better equate the sample to a magnetic dipole, so that the magnetic susceptibility measurement error caused by the uneven distribution of the AC magnetic moment can be ignored, it is generally necessary to satisfy D/L≥10, where L represents the size of the sample along the direction of the external magnetic field, D represents the distance from the magnetometer 3 to the center of the Helmholtz coil, and D is related to the ratio of the number of turns of the two pairs of Helmholtz coils. When the number of turns of the large coil is smaller than the number of turns of the small coil, D is larger, and vice versa.
因此,本实施例为降低交流磁矩不均匀分布引起的磁化率测量误差,需通过根据样品的尺寸来调节两对亥姆霍兹线圈的匝数之比,从而使磁场幅值零点也即磁力仪放置点距离亥姆霍兹线圈中心点的距离足够远。在大亥姆霍兹线圈的匝数固定不变的前提下,一般地,样品的尺寸越大,小亥姆霍兹线圈需要的匝数越多。具体地,需要磁力仪3到两对亥姆霍兹线圈几何中心点的距离大于10倍样品沿磁场方向的尺寸。Therefore, in order to reduce the magnetic susceptibility measurement error caused by the uneven distribution of AC magnetic moment, the present embodiment needs to adjust the ratio of the number of turns of the two pairs of Helmholtz coils according to the size of the sample, so that the distance between the magnetic field amplitude zero point, that is, the placement point of the magnetometer, and the center point of the Helmholtz coil is far enough. Under the premise that the number of turns of the large Helmholtz coil is fixed, generally, the larger the size of the sample, the more turns the small Helmholtz coil needs. Specifically, the distance from the magnetometer 3 to the geometric center point of the two pairs of Helmholtz coils needs to be greater than 10 times the size of the sample along the magnetic field direction.
相位参考机构可包括一个离样品足够远的相位参考线圈7和用于测量该线圈产生磁场的磁力仪8,相位参考线圈7与磁场产生机构中的两对亥姆霍兹线圈串联,因此相位参考线圈7产生的磁场与施加给样品的外加磁场具有相同的相位,利用远离样品所在区域从而不受样品产生磁场干扰的磁力仪8对相位参考线圈7产生磁场的相位进行测量,从而能够使磁力仪8测得的参考相位始终保持与外加磁场同相位,进而为磁力仪3提供相位参考信号,进而获得样品产生的相位信息。The phase reference mechanism may include a phase reference coil 7 that is far enough away from the sample and a magnetometer 8 for measuring the magnetic field generated by the coil. The phase reference coil 7 is connected in series with two pairs of Helmholtz coils in the magnetic field generating mechanism, so that the magnetic field generated by the phase reference coil 7 has the same phase as the external magnetic field applied to the sample. The phase of the magnetic field generated by the phase reference coil 7 is measured by the magnetometer 8 that is far away from the sample area and is not disturbed by the magnetic field generated by the sample, so that the reference phase measured by the magnetometer 8 can always be kept in phase with the external magnetic field, thereby providing a phase reference signal for the magnetometer 3, and then obtaining the phase information generated by the sample.
本实施例提供的控制机构可采用本领域常用的控制器,用于根据磁力仪8测得的参考相位以及磁力仪3测得的线圈残余背景磁场和叠加场的幅值和相位,计算样品在不同正弦电流频率处的磁化率的相位和模值,最终得到样品在一定频率范围内的磁化率频谱分布。The control mechanism provided in this embodiment can adopt a controller commonly used in the art, which is used to calculate the phase and modulus of the magnetic susceptibility of the sample at different sinusoidal current frequencies based on the reference phase measured by the magnetometer 8 and the amplitude and phase of the coil residual background magnetic field and the superposition field measured by the magnetometer 3, and finally obtain the magnetic susceptibility spectrum distribution of the sample within a certain frequency range.
本实施例提供的大尺寸物体交流磁化率的测量装置,采用两对亥姆霍兹线圈产生一个远离样品的磁场幅值零点,磁场幅值零点的位置能够通过调节线圈的半径和匝数来进行调节,从而能实现对不同尺寸样品的交流磁化率测量;且将磁场测量机构设置在磁场幅值零点处,通过调节线圈的半径和匝数使磁场测量机构到两对亥姆霍兹线圈几何中心的距离远大于样品沿均匀磁场方向的尺寸,能有效降低交流磁矩不均匀分布带来的测量误差。The device for measuring the AC magnetic susceptibility of a large-sized object provided in this embodiment uses two pairs of Helmholtz coils to generate a magnetic field amplitude zero point far away from the sample. The position of the magnetic field amplitude zero point can be adjusted by adjusting the radius and the number of turns of the coil, thereby enabling the measurement of the AC magnetic susceptibility of samples of different sizes; and the magnetic field measuring mechanism is set at the magnetic field amplitude zero point, and the radius and the number of turns of the coil are adjusted to make the distance from the magnetic field measuring mechanism to the geometric center of the two pairs of Helmholtz coils much larger than the size of the sample along the uniform magnetic field direction, which can effectively reduce the measurement error caused by the uneven distribution of the AC magnetic moment.
在一个实施例中,如图1所示,上述提供的两对亥姆霍兹线圈可设置在线圈安装平台10,该线圈安装平台10可优选采用硬度较大的无磁非金属材料制成,如PMMA等,可避免剩磁和涡流等效应影响测量结果。In one embodiment, as shown in FIG. 1 , the two pairs of Helmholtz coils provided above may be arranged on a coil mounting platform 10, and the coil mounting platform 10 may preferably be made of a non-magnetic non-metallic material with a relatively high hardness, such as PMMA, etc., so as to avoid the effects of residual magnetism and eddy currents affecting the measurement results.
在一个实施例中,本申请提供的测量装置还可包括位移机构和样品移动机构。其中,位移机构用于精确调节磁力仪3的空间位置,使磁力仪3的敏感单元接近磁场幅值零点,从而使线圈残余背景磁场达到最小值,满足对样品产生的磁场信号进行测量的需求。In one embodiment, the measuring device provided by the present application may also include a displacement mechanism and a sample moving mechanism. The displacement mechanism is used to accurately adjust the spatial position of the magnetometer 3 so that the sensitive unit of the magnetometer 3 is close to the zero point of the magnetic field amplitude, thereby making the residual background magnetic field of the coil reach the minimum value, meeting the need to measure the magnetic field signal generated by the sample.
样品移动机构用于控制样品远离或靠近磁力仪3,从而得到样品产生的磁场信息,即当样品远离磁力仪3时,样品在外加磁场作用下产生的感应磁场几乎为0,磁力仪3测得的信号为线圈残余背景磁场的幅值和相位;当样品靠近磁力仪3时,此时磁力仪3测得的信号为线圈残余背景磁场和样品在外加磁场下产生的感应磁场的叠加场的幅值和相位。The sample moving mechanism is used to control the sample to move away from or close to the magnetometer 3, so as to obtain the magnetic field information generated by the sample, that is, when the sample is far away from the magnetometer 3, the induced magnetic field generated by the sample under the action of the external magnetic field is almost 0, and the signal measured by the magnetometer 3 is the amplitude and phase of the residual background magnetic field of the coil; when the sample is close to the magnetometer 3, the signal measured by the magnetometer 3 is the amplitude and phase of the superposition field of the residual background magnetic field of the coil and the induced magnetic field generated by the sample under the external magnetic field.
具体地,位移机构可包括磁力仪安装平台4、磁力仪支架5和位移台6。Specifically, the displacement mechanism may include a magnetometer mounting platform 4 , a magnetometer bracket 5 and a displacement platform 6 .
在本实施例中,磁力仪安装平台4用于固定磁力仪3,并与磁力仪支架5相连,两者之间尽可能的采用刚性连接,避免磁力仪3的位置发生晃动。磁力仪支架5用于连接位移台6和磁力仪安装平台4,该支架具有合适的高度,从而既能保证位移台6距离磁力仪3足够远,避免位移台6的磁性影响待测磁场,也能够避免由于磁力仪3距离地面太高,使磁力仪3产生比较大的晃动。位移台6用于接收控制机构发送的控制信号调节磁力仪3的位置,位移台6的移动步长越小,能够获得的残余背景磁场越小。In this embodiment, the magnetometer mounting platform 4 is used to fix the magnetometer 3 and is connected to the magnetometer bracket 5. The two are rigidly connected as much as possible to avoid shaking of the position of the magnetometer 3. The magnetometer bracket 5 is used to connect the displacement stage 6 and the magnetometer mounting platform 4. The bracket has a suitable height, so as to ensure that the displacement stage 6 is far enough away from the magnetometer 3 to avoid the magnetism of the displacement stage 6 affecting the magnetic field to be measured, and also to avoid the magnetometer 3 from shaking too much due to the magnetometer 3 being too high from the ground. The displacement stage 6 is used to receive the control signal sent by the control mechanism to adjust the position of the magnetometer 3. The smaller the moving step of the displacement stage 6, the smaller the residual background magnetic field that can be obtained.
进一步地,本申请提供的测量装置还可包括隔振平台9,线圈安装平台10和位移台6安装在隔振平台10上。隔振平台10用于减小地面振动导致的亥姆霍兹线圈与磁力仪3的相对位置发生变化,由于磁力仪处于梯度场中,磁力仪与亥姆霍兹线圈的相对位置变化δz会引入磁场噪声因此减小地面振动噪声有利于减小磁场噪声。优选地,两对亥姆霍兹线圈与线圈安装平台10之间以及线圈安装平台10与隔振平台9之间应该尽可能的采用刚性连接,可进一步减小亥姆霍兹线圈位置波动。Furthermore, the measuring device provided in the present application may also include a vibration isolation platform 9, on which the coil mounting platform 10 and the displacement platform 6 are mounted. The vibration isolation platform 10 is used to reduce the relative position change between the Helmholtz coil and the magnetometer 3 caused by ground vibration. The relative position change δz between the magnetometer and the Helmholtz coil will introduce magnetic field noise. Therefore, reducing ground vibration noise is beneficial to reducing magnetic field noise. Preferably, the two pairs of Helmholtz coils and the coil mounting platform 10 and the coil mounting platform 10 and the vibration isolation platform 9 should be connected as rigidly as possible, which can further reduce the position fluctuation of the Helmholtz coils.
样品移动机构可包括输送带16、样品台支架12、输送带安装平台15和电机11,样品台支架12安装在地面上,输送带安装平台15固定在样品台支架12上,输送带安装平台15上设有两个轴承14,输送带16套设在两个轴承14上,样品放置在输送带16上,电机11通过传动带13连接轴承14。The sample moving mechanism may include a conveyor belt 16, a sample stage bracket 12, a conveyor belt mounting platform 15 and a motor 11. The sample stage bracket 12 is installed on the ground, the conveyor belt mounting platform 15 is fixed on the sample stage bracket 12, two bearings 14 are provided on the conveyor belt mounting platform 15, the conveyor belt 16 is sleeved on the two bearings 14, the sample is placed on the conveyor belt 16, and the motor 11 is connected to the bearings 14 through a transmission belt 13.
本实施例提供的样品移动机构的工作原理为:测量时将样品放置在输送带16上离样品最远的一端,即放置在输送带16的远端,电机11通过传动带13连接轴承14,从而驱动轴承14转动,轴承14的转动带动输送带16的运动,控制机构通过控制电机正转或反转,使样品靠近或远离磁力仪,从而得到样品产生的磁场信息。The working principle of the sample moving mechanism provided in this embodiment is: during measurement, the sample is placed on the end of the conveyor belt 16 farthest from the sample, that is, placed at the far end of the conveyor belt 16, the motor 11 is connected to the bearing 14 through the transmission belt 13, thereby driving the bearing 14 to rotate, and the rotation of the bearing 14 drives the movement of the conveyor belt 16, and the control mechanism controls the motor to rotate forward or reverse to make the sample approach or move away from the magnetometer, thereby obtaining the magnetic field information generated by the sample.
优选地,本实施例提供的轴承14可采用无磁轴承,比如塑料轴承或陶瓷轴承,电机11可采用弱磁步进电机,以避免其磁性或导电性产生磁场对待测磁场产生影响。输送带16的长度应该足够长,从而使样品远离磁力仪时几乎不产生磁场信号。传动带13的长度应该足够长,以确保电机11能够远离磁力仪,避免电机产生的磁场耦合到待测磁场中。由于样品在移动过程中会导致输送带安装平台15产生晃动或发生形变,而亥姆霍兹线圈和磁力仪的相对位置变化非常敏感,因此样品台支架12应该单独安装在地面上,不与线圈和线圈安装平台10及隔振平台9产生接触,从而可避免样品移动过程中产生的振动传递到磁力仪处进而产生磁场噪声。Preferably, the bearing 14 provided in this embodiment can adopt non-magnetic bearings, such as plastic bearings or ceramic bearings, and the motor 11 can adopt a weak magnetic stepping motor to avoid the magnetic field generated by its magnetism or conductivity from affecting the magnetic field to be measured. The length of the conveyor belt 16 should be long enough so that the sample is almost not generated. The magnetic field signal is not generated when the sample is away from the magnetometer. The length of the transmission belt 13 should be long enough to ensure that the motor 11 can be away from the magnetometer to avoid the magnetic field generated by the motor coupling into the magnetic field to be measured. Since the sample will cause the conveyor belt mounting platform 15 to shake or deform during movement, and the relative position change of the Helmholtz coil and the magnetometer is very sensitive, the sample stage bracket 12 should be installed separately on the ground, without contact with the coil and the coil mounting platform 10 and the vibration isolation platform 9, so as to avoid the vibration generated during the sample movement from being transmitted to the magnetometer and generating magnetic field noise.
本申请还提供了一种基于上述测量装置的测量方法,该测量方法包括如下步骤:The present application also provides a measurement method based on the above-mentioned measurement device, which comprises the following steps:
(1)根据两对亥姆霍兹线圈的半径、间距和匝数等参数计算外加磁场的轴向分布(Z方向),如图2所示,可以得到Z方向磁场的变化曲线与横坐标存在两个交点,此交点为磁场幅值零点,将磁力仪3放置在该磁场幅值零点处附近,并用夹具使之固定在磁力仪安装平台4上。(1) The axial distribution (Z direction) of the applied magnetic field is calculated based on the parameters such as the radius, spacing and number of turns of the two pairs of Helmholtz coils. As shown in FIG2 , it can be obtained that there are two intersection points between the variation curve of the magnetic field in the Z direction and the horizontal coordinate. The intersection point is the zero point of the magnetic field amplitude. The magnetometer 3 is placed near the zero point of the magnetic field amplitude and fixed on the magnetometer mounting platform 4 with a clamp.
(2)向两对亥姆霍兹线圈通入方向相反的方波电流,此时磁力仪3测得的磁场幅值较大,然后将磁力仪3朝线圈轴向方向(Z方向)移动,同时观察磁力仪测得的磁场变化情况,若磁场幅值减小,则继续朝该方向移动磁力仪3,否则,朝相反反向移动磁力仪3,直到测得的磁场幅值降低在设定范围内,使得磁场噪声δB低于磁场测量分辨率需求ΔB,则停止移动磁力仪3,使磁力仪3保持在该位置不再变化。(2) Square wave currents in opposite directions are passed through the two pairs of Helmholtz coils. At this time, the magnetic field amplitude measured by the magnetometer 3 is relatively large. Then the magnetometer 3 is moved toward the axial direction of the coil (Z direction), and the change of the magnetic field measured by the magnetometer is observed. If the magnetic field amplitude decreases, the magnetometer 3 is continued to be moved in this direction. Otherwise, the magnetometer 3 is moved in the opposite direction until the measured magnetic field amplitude decreases within the set range, so that the magnetic field noise δB is lower than the magnetic field measurement resolution requirement ΔB. Then, the magnetometer 3 is stopped from being moved, and the magnetometer 3 is kept at this position and does not change.
在步骤(2)中,当测得的磁场幅值降低在设定范围内时,表明测量条件已经具备,可以开始对交流磁化率进行测量。In step (2), when the measured magnetic field amplitude decreases to within the set range, it indicates that the measurement conditions are met and the AC magnetic susceptibility can be measured.
(3)将相位参考机构中的相位参考线圈7和磁力仪8远离样品放置,并将相位参考线圈7与两对亥姆霍兹线圈串联,用于测量外加磁场的相位。(3) The phase reference coil 7 and the magnetometer 8 in the phase reference mechanism are placed away from the sample, and the phase reference coil 7 is connected in series with two pairs of Helmholtz coils to measure the phase of the external magnetic field.
需要说明的是,本实施例提供的步骤(3)可在步骤(1)之前执行,也可以在步骤(1)或(2)后执行,本实施例不作限制。It should be noted that step (3) provided in this embodiment may be performed before step (1) or after step (1) or (2), and this embodiment does not impose any limitation thereto.
(4)将样品放置在输送带16的远端并固定,然后向两对亥姆霍兹线圈通入幅值为I0、频率为ω的反向正弦电流,磁力仪3以高于2ω的采样频率对磁场进行测量。此时由于样品离磁力仪足够远,样品在外加磁场作用下产生的信号几乎为0,磁力仪3测得的信号为线圈残余背景磁场Bz0t的幅值Bz0和相位 (4) The sample is placed at the far end of the conveyor belt 16 and fixed, and then a reverse sinusoidal current with an amplitude of I 0 and a frequency of ω is passed through the two pairs of Helmholtz coils. The magnetometer 3 measures the magnetic field at a sampling frequency higher than 2ω. At this time, since the sample is far enough away from the magnetometer, the signal generated by the sample under the action of the external magnetic field is almost 0. The signal measured by the magnetometer 3 is the amplitude B z0 and phase B z0 of the residual background magnetic field B z0t of the coil.
测量一段时间后,控制器控制电机11将样品移动至输送带16的近端并保持一段时间,此时磁力仪3测得的信号为线圈残余背景磁场Bz0t和样品在外加磁场作用下产生的感应磁场Bz1t的叠加场Bz2t的幅值Bz2和相位则三者满足以下关系:After measuring for a period of time, the controller controls the motor 11 to move the sample to the near end of the conveyor belt 16 and keep it there for a period of time. At this time, the signal measured by the magnetometer 3 is the amplitude B z2 and phase of the superposition field B z2t of the coil residual background magnetic field B z0t and the induced magnetic field B z1t generated by the sample under the action of the external magnetic field. The three satisfy the following relationship:
式中,Bz1为感应磁场Bz1t的幅值,为感应磁场Bz1t的相位。Where Bz1 is the amplitude of the induced magnetic field Bz1t , is the phase of the induced magnetic field B z1t .
(5)控制器根据磁力仪8测得的参考相位磁力仪3测得的线圈残余背景磁场的幅值Bz0和相位以及叠加场Bz2t的幅值Bz2和相位计算样品在频率ω处的磁化率的相位和模值。(5) The controller measures the reference phase according to the magnetometer 8 The amplitude B z0 and phase of the coil residual background magnetic field measured by magnetometer 3 and the amplitude B z2 and phase of the superposition field B z2t Calculate the phase and magnitude of the magnetic susceptibility of the sample at frequency ω.
利用三角函数辅助角公式,可以得到:Using the auxiliary angle formula of trigonometric functions, we can get:
需要说明的是,由于相位是一个相对量,不是一个绝对量,必须要跟一个不变的参考相位作差后才能得到相位的大小。因此,上述公式中涉及到的为线圈残余背景磁场Bz0t的相位值, 为叠加场Bz2t的相位值, 为样品在外加磁场作用下产生的感应磁场Bz1t的相位值,即样品在频率ω处的磁化率的相位,其中,为磁力仪8测得的外加磁场的相位。It should be noted that since the phase is a relative quantity, not an absolute quantity, it must be subtracted from a constant reference phase to obtain the phase magnitude. is the phase value of the coil residual background magnetic field B z0t , is the phase value of the superposition field B z2t , is the phase value of the induced magnetic field B z1t generated by the sample under the action of the external magnetic field, that is, the phase of the magnetic susceptibility of the sample at the frequency ω, in, is the phase of the external magnetic field measured by the magnetometer 8.
根据和的计算公式可得: according to and The calculation formula can be obtained:
将Bz0、Bz2、和代入公式(1)和(2),可以得到样品产生的磁场Bz1以及样品产生的磁场与外加磁场的相位差,也即样品在频率ω处的磁化率的相位: B z0 , B z2 , and Substituting into formulas (1) and (2), we can obtain the magnetic field B z1 generated by the sample and the phase difference between the magnetic field generated by the sample and the external magnetic field, that is, the phase of the magnetic susceptibility of the sample at frequency ω:
在磁力仪距离样品足够远的条件下,样品在磁力仪3处产生的磁场Bz1与样品总磁矩M满足如下关系:When the magnetometer is far enough away from the sample, the magnetic field B z1 generated by the sample at the magnetometer 3 and the total magnetic moment M of the sample satisfy the following relationship:
式中,R代表磁力仪与两对亥姆霍兹线圈几何中心的相对位置矢量;K为只与两者相对位置有关的常数矩阵。根据以上已知的测量量和计算量,样品的交流磁化率的模值为:In the formula, R represents the relative position vector between the magnetometer and the geometric center of the two pairs of Helmholtz coils; K is a constant matrix related only to the relative position of the two. Based on the above known measured and calculated quantities, the modulus of the AC magnetic susceptibility of the sample is:
式中,H代表施加给样品的外加磁场的大小;V代表样品的体积。至此,样品在频率ω处的模值|χ(ω)|和相位测量完毕。In the formula, H represents the magnitude of the external magnetic field applied to the sample; V represents the volume of the sample. So far, the modulus value |χ(ω)| and phase of the sample at frequency ω are Measurement completed.
(6)改变正弦电流的频率,对样品在其他频率处的磁化率的相位和模值进行测量,最终得到样品在一定频率范围内的磁化率频谱分布。(6) The frequency of the sinusoidal current is changed, and the phase and modulus of the magnetic susceptibility of the sample at other frequencies are measured, and finally the spectral distribution of the magnetic susceptibility of the sample within a certain frequency range is obtained.
下面结合具体实施例对上述实施例提供的测量方法进行说明:The measurement method provided in the above embodiment is described below in conjunction with a specific embodiment:
利用上述提供的测量方法对一块长方体(4cm×4cm×1cm)纯铜样品在1Hz到1500Hz范围内的交流磁化率进行测量。在1500Hz时测得的时域曲线如图3所示,频域曲线如图4所示。交流磁化率的模值谱如图5所示,相位谱如图6所示。测量结果符合本申请提出的交流磁化率的模值随频率增大而不断增大,最终趋于饱和的结论,证明本实施例提供的测量方法的精确性和可靠性。The AC magnetic susceptibility of a rectangular (4cm×4cm×1cm) pure copper sample in the range of 1Hz to 1500Hz was measured using the measurement method provided above. The time domain curve measured at 1500Hz is shown in Figure 3, and the frequency domain curve is shown in Figure 4. The modulus spectrum of the AC magnetic susceptibility is shown in Figure 5, and the phase spectrum is shown in Figure 6. The measurement results are consistent with the conclusion proposed in this application that the modulus of the AC magnetic susceptibility increases continuously with increasing frequency and eventually tends to saturation, proving the accuracy and reliability of the measurement method provided in this embodiment.
本领域的技术人员容易理解,以上所述仅为本申请的较佳实施例,并不用以限制本申请,凡在本申请的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本申请的保护范围之内。It will be easily understood by those skilled in the art that the above is only a preferred embodiment of the present application and is not intended to limit the present application. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present application shall be included in the scope of protection of the present application.
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