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CN115372416A - An inductive pulse compression magnetoacoustic detection method and system - Google Patents

An inductive pulse compression magnetoacoustic detection method and system Download PDF

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CN115372416A
CN115372416A CN202210168364.5A CN202210168364A CN115372416A CN 115372416 A CN115372416 A CN 115372416A CN 202210168364 A CN202210168364 A CN 202210168364A CN 115372416 A CN115372416 A CN 115372416A
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杨延菊
程春磊
杨文耀
张晓宇
田亮亮
宋静
张圣明
肖英豪
刘洋
周涛
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Chongqing University of Arts and Sciences
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Abstract

The invention provides an induction type pulse compression magnetoacoustic detection method, which comprises the steps of firstly exciting an electrode material (600) to generate a thermoacoustic effect and a magnetoacoustic effect through a pulse compression magnetic field excitation module (100) and a magnet magnetostatic field module (200), then receiving thermoacoustic signals and magnetoacoustic signals through an ultrasonic transducer (300) arranged around the electrode material (600) in an array manner, and finally collecting the ultrasonic signals through a signal acquisition module (400) and a conductivity module (500) and reconstructing the conductivity of the electrode material (600); wherein the conductivity module (500) reconstructs the conductivity of the electrode material (600) by a time-reversal method and a least squares iterative algorithm. The method can realize non-contact detection of the conductivity of the electrode material of the supercapacitor without damaging the electrode material, and has the advantages of low pulse compression magnetic field intensity and low energy consumption, and the adopted system is miniaturized and is convenient to carry.

Description

一种感应式脉冲压缩磁声检测方法及系统An inductive pulse compression magnetoacoustic detection method and system

技术领域technical field

本发明涉及电导率检测技术领域,具体涉及一种感应式脉冲压缩磁声检测方法及系统。The invention relates to the technical field of conductivity detection, in particular to an inductive pulse compression magnetoacoustic detection method and system.

背景技术Background technique

随着化石燃料的不断枯竭以及环境污染等问题日益严重,目前寻求高效、环保、实用的可替代能源也成为人们最迫切的任务之一;如今,传统的锂离子电池已经成为了人类生活中不可缺少的一部分,为便携式电子产品的革命提供新的选择方向。然而,对于电动汽车、电网存储等规模不断扩大的应用,电化学储能的激增取决于未来电池的严格性能,例如安全性、能量密度、成本要求、存储容量等,而现有的传统锂离子电池性能并不能完全满足上述要求。超级电容器由于其高安全性、高能量密度、长循环寿命、以及快速充放电与储能特性而受到人们的广泛关注。With the continuous depletion of fossil fuels and the increasingly serious problems of environmental pollution, it has become one of the most urgent tasks for people to seek efficient, environmentally friendly and practical alternative energy sources; today, traditional lithium-ion batteries have become an indispensable part of human life. The missing part, providing a new direction of choice for the revolution of portable electronic products. However, for ever-increasing applications such as electric vehicles, grid storage, etc., the surge of electrochemical energy storage depends on the stringent performance of future batteries, such as safety, energy density, cost requirements, storage capacity, etc., while existing conventional Li-ion Battery performance does not fully meet the above requirements. Supercapacitors have attracted widespread attention due to their high safety, high energy density, long cycle life, and fast charge-discharge and energy storage characteristics.

超级电容器的性能优劣与其电极材料的电导率紧密相关,即其电导率大小直接决定超级电容器的充放电性能,因此,在研制与生产超级电容器过程中,对其电极材料电导率的检测是至关重要的环节。目前,超级电容器电极材料的电导率检测方法主要为四探针法和感应式热声检测法两种。四探针法为接触式检测方法,检测过程中探针与电极材料接触易造成材料的损坏、从而直接导致检测后的超级电容器报废、增加生产成本;同时,四探针法检测的目标体形状为圆形或矩形,其针对对象固定、适用对象窄。相比于接触式检测法,作为非接触式的感应式热声检测法不会与电极材料接触、不会造成材料损伤,同时对于检测材料的形状没有限定、适用对象广;然而,感应式热声检测法需求的交变磁场大、耗能高、检测成本高,且感应式热声检测法系统庞大、不便于携带、占地空间大,后期保养、维护困难,工业化、连续性检测操作复杂。The performance of a supercapacitor is closely related to the conductivity of its electrode material, that is, its conductivity directly determines the charge and discharge performance of the supercapacitor. important link. At present, the conductivity detection methods of supercapacitor electrode materials are mainly four-probe method and inductive thermoacoustic detection method. The four-probe method is a contact detection method. During the detection process, the contact between the probe and the electrode material will easily cause damage to the material, which will directly lead to the scrapping of the supercapacitor after detection and increase the production cost; at the same time, the shape of the target object detected by the four-probe method It is a circle or a rectangle, which is fixed for the object and narrow for the applicable object. Compared with the contact detection method, the non-contact inductive thermoacoustic detection method will not contact the electrode material and will not cause material damage. At the same time, there is no limit to the shape of the detection material and it can be applied to a wide range of objects; however, the inductive thermal acoustic detection method The acoustic detection method requires a large alternating magnetic field, high energy consumption, and high detection cost, and the inductive thermoacoustic detection method has a large system, is not easy to carry, occupies a large space, and is difficult to maintain and maintain in the later stage. Industrialization and continuous detection operations are complicated .

发明内容Contents of the invention

针对以上现有技术存在的问题,本发明的目的在于提供一种感应式脉冲压缩磁声检测方法,该方法能够实现非接触式检测超级电容器电极材料的电导率、不会对电极材料造成破坏,且该方法需求的脉冲压缩磁场强度低、能耗低,采用系统小型化、便于携带。In view of the above existing problems in the prior art, the object of the present invention is to provide an inductive pulse compression magnetoacoustic detection method, which can realize non-contact detection of the electrical conductivity of the supercapacitor electrode material without causing damage to the electrode material, Moreover, the pulse compression magnetic field required by the method has low strength and low energy consumption, and the adopted system is miniaturized and easy to carry.

本发明的另一个目的在于提供一种感应式脉冲压缩磁声检测方法所采用的系统。Another object of the present invention is to provide a system used in the inductive pulse compression magnetoacoustic detection method.

本发明的目的通过以下技术方案实现:The object of the present invention is achieved through the following technical solutions:

一种感应式脉冲压缩磁声检测方法,其特征在于:包括以下步骤:An inductive pulse compression magnetoacoustic detection method, characterized in that: comprising the following steps:

首先,将超级电容器的电极材料放置在脉冲压缩磁场激励源线圈与磁铁之间,通过脉冲压缩磁场激励源激励电极材料产生涡流,电极材料内产生热声效应(即材料在脉冲压缩磁场激励作用下、受热膨胀,发出热声信号),并与配合磁铁的静磁场产生磁声效应(即涡流在脉冲压缩磁场激励与静磁场激励作用下,产生洛伦兹力,电极材料受洛伦兹力发生振动、产生磁声信号);然后,通过阵列布置在电极材料周围的超声换能器接收电极材料受热膨胀发出的热声信号、以及电极材料受洛伦兹力作用发出的磁声信号(热声信号与磁声信号组成超声信号、下同);最后采用信号采集模块处理超声换能器接收到的超声信号,并利用电导率模块根据超声信号重建电极材料的电导率;First, the electrode material of the supercapacitor is placed between the pulse compression magnetic field excitation source coil and the magnet, the electrode material is excited by the pulse compression magnetic field excitation source to generate eddy current, and a thermoacoustic effect is generated in the electrode material (that is, the material is excited by the pulse compression magnetic field excitation. , heat expansion, and emit a thermoacoustic signal), and produce a magnetoacoustic effect with the static magnetic field of the matching magnet (that is, the eddy current generates a Lorentz force under the excitation of the pulse compression magnetic field and the static magnetic field, and the electrode material is generated by the Lorentz force. vibrating, generating magnetoacoustic signals); then, the ultrasonic transducers arrayed around the electrode materials receive the thermoacoustic signals emitted by the thermal expansion of the electrode materials, and the magnetoacoustic signals (thermoacoustic signals) emitted by the electrode materials subjected to the Lorentz force The signal and the magnetoacoustic signal form an ultrasonic signal, the same below); finally, the signal acquisition module is used to process the ultrasonic signal received by the ultrasonic transducer, and the conductivity module is used to reconstruct the conductivity of the electrode material according to the ultrasonic signal;

所述电导率模块根据超声信号重建电极材料的电导率具体为:首先通过时间反演法重建超声信号中电极材料的热函数与洛伦兹力散度,然后通过获得的热函数与洛伦兹力散度重建电极材料内部的电场强度,最后通过最小二乘迭代算法重建电极材料的电导率分布。The electrical conductivity module reconstructs the electrical conductivity of the electrode material according to the ultrasonic signal as follows: first, the thermal function and the Lorentz force divergence of the electrode material in the ultrasonic signal are reconstructed by the time-reversal method, and then the obtained thermal function and the Lorentz force divergence are reconstructed. The force divergence is used to reconstruct the electric field intensity inside the electrode material, and finally the electrical conductivity distribution of the electrode material is reconstructed by the least squares iterative algorithm.

作进一步优化,所述通过时间反演法重建电极材料的热函数与洛伦兹力散度具体为:For further optimization, the thermal function and Lorentz force divergence of the electrode material reconstructed by the time-reversal method are specifically:

利用时间反演法计算获得超声信号中的热函数空间吸收系数与洛伦兹力散度,具体公式为:The thermal function space absorption coefficient and the Lorentz force divergence in the ultrasonic signal are calculated by using the time inversion method. The specific formula is:

Figure BDA0003516442060000031
Figure BDA0003516442060000031

式中,CP表示电极材料的比热容(由具体采用的电极材料确定);β表示电极材料的体积膨胀系数(由具体采用的电极材料确定);Q(r)表示热函数的空间吸收系数;

Figure BDA0003516442060000032
表示梯度、为数学计算符号,F表示待检测材料内部的洛伦兹力,
Figure BDA0003516442060000033
表示电极材料的洛伦兹力散度;Ω表示超声换能器所处的曲面,具体为:以电极材料所处位置为中心位置,以超声换能器与中心位置的距离为半径所获得的圆,此圆即为超声换能器所处的曲面;cs表示声波的传播速度;r表示电极材料所处的位置;p(rd,t)表示超声换能器在检测点rd处接收的超声信号;t表示接收时间。In the formula, C P represents the specific heat capacity of the electrode material (determined by the specific electrode material used); β represents the volume expansion coefficient of the electrode material (determined by the specific electrode material used); Q(r) represents the space absorption coefficient of the thermal function;
Figure BDA0003516442060000032
Indicates the gradient and is a symbol of mathematical calculation, F indicates the Lorentz force inside the material to be tested,
Figure BDA0003516442060000033
Indicates the Lorentz force divergence of the electrode material; Ω indicates the curved surface where the ultrasonic transducer is located, specifically: taking the position of the electrode material as the center position and taking the distance between the ultrasonic transducer and the center position as the radius The circle is the curved surface where the ultrasonic transducer is located; c s represents the propagation velocity of the sound wave; r represents the position of the electrode material; p(r d , t) represents the ultrasonic transducer at the detection point r d Received ultrasonic signal; t represents the receiving time.

作进一步优化,所述声波的传播速度采用超声换能器测量、计算获得,具体为:测试开始前,结合电极材料所处的环境,由所采用的超声换能器发出与接收声波,通过声波的传播距离与时间差计算得到声波的传播速度。For further optimization, the propagation velocity of the sound wave is measured and calculated by an ultrasonic transducer, specifically: before the test starts, combined with the environment in which the electrode material is located, the ultrasonic transducer is used to send and receive sound waves, and through the sound wave The propagation speed of the sound wave is calculated from the propagation distance and time difference.

作进一步优化,所述通过获得的热函数与洛伦兹力散度重建电极材料内部的电场强度、以及通过最小二乘迭代算法重建电极材料的电导率分布具体为:For further optimization, the reconstruction of the electric field intensity inside the electrode material through the obtained thermal function and the Lorentz force divergence, and the reconstruction of the conductivity distribution of the electrode material through the least squares iterative algorithm are specifically:

首先通过洛伦兹力散度重建电场强度:The electric field strength is first reconstructed by the Lorentz force divergence:

Figure BDA0003516442060000034
Figure BDA0003516442060000034

式中,J表示电极材料内部电流密度;B表示电极材料所处位置的磁通密度;E表示电极材料内部电场强度;σ表示电极材料的电导率;Z表示方向;In the formula, J represents the current density inside the electrode material; B represents the magnetic flux density at the location of the electrode material; E represents the electric field strength inside the electrode material; σ represents the conductivity of the electrode material; Z represents the direction;

然后通过热函数空间吸收系数重建电场强度:The electric field strength is then reconstructed by the heat function spatial absorption coefficient:

Q(r)=σ|E(r)|2Q(r)=σ|E(r)| 2 ;

Figure BDA0003516442060000035
Figure BDA0003516442060000035

最后通过最小二乘迭代算法重建电极材料的电导率分布:Finally, the conductivity distribution of the electrode material is reconstructed by the least squares iterative algorithm:

Figure BDA0003516442060000041
Figure BDA0003516442060000041

式中,f(σ)表示建立的最小二乘目标函数;A表示脉冲压缩电流产生的矢量磁位;φ表示标量电位。In the formula, f(σ) represents the established least squares objective function; A represents the vector magnetic potential generated by the pulse compression current; φ represents the scalar potential.

作进一步优化,所述脉冲压缩电流产生的矢量磁位获得方法如下:For further optimization, the method for obtaining the vector magnetic potential generated by the pulse compression current is as follows:

首先,设置轴对称载流线圈的半径为a,通入的激励脉冲压缩电流为I(t),线圈所处的平面与平面Z=0平行,且线圈的圆心位于坐标系的原点,则线电流产生的矢量磁位A为:First, the radius of the axisymmetric current-carrying coil is set as a, the input excitation pulse compression current is I(t), the plane where the coil is located is parallel to the plane Z=0, and the center of the coil is located at the origin of the coordinate system, then the line The vector magnetic potential A generated by the current is:

Figure BDA0003516442060000042
Figure BDA0003516442060000042

式中,μ0表示真空中的磁导率;

Figure BDA0003516442060000043
表示对载流线圈的圆周线进行积分;e表示单位矢量。In the formula, μ 0 represents the magnetic permeability in vacuum;
Figure BDA0003516442060000043
Represents the integral of the circumference of the current-carrying coil; e represents the unit vector.

作进一步优化,所述标量电位具体获得方法为:For further optimization, the specific method for obtaining the scalar potential is:

Figure BDA0003516442060000044
Figure BDA0003516442060000044

Figure BDA0003516442060000045
Figure BDA0003516442060000045

式中,n表示边界S的法向单位矢量,边界S为电极材料所处待测区域的边界。In the formula, n represents the normal unit vector of the boundary S, and the boundary S is the boundary of the area to be measured where the electrode material is located.

上述感应式脉冲压缩磁声检测方法所采用的系统,其特征在于:The system adopted in the above-mentioned inductive pulse compression magnetoacoustic detection method is characterized in that:

包括:脉冲压缩磁场激励模块,用于激励电极材料内部产生涡流、从而使电极材料产生热声效应;磁铁静磁场模块,用于与脉冲压缩磁场激励模块配合产生磁声效应;超声换能器,用于接收电极材料发出的超声信号;信号采集模块,用于对超声换能器中的超声信号进行放大和滤波;电导率模块,用于重建电极材料的电导率分布;Including: pulse compression magnetic field excitation module, used to excite the eddy current inside the electrode material, so that the electrode material produces thermoacoustic effect; magnet static magnetic field module, used to cooperate with the pulse compression magnetic field excitation module to produce magnetoacoustic effect; ultrasonic transducer, It is used to receive the ultrasonic signal sent by the electrode material; the signal acquisition module is used to amplify and filter the ultrasonic signal in the ultrasonic transducer; the conductivity module is used to reconstruct the conductivity distribution of the electrode material;

所述脉冲压缩磁场激励模块的线圈与磁铁静磁场模块分别设置在超级电容器的电极材料的上、下端;所述超声换能器呈阵列布置在超级电容器的电极材料的周围;所述信号采集模块分别与脉冲压缩磁场激励模块、超声换能器、电导率模块电连接。The coil of the pulse compression magnetic field excitation module and the magnet static magnetic field module are respectively arranged on the upper and lower ends of the electrode material of the supercapacitor; the ultrasonic transducer is arranged in an array around the electrode material of the supercapacitor; the signal acquisition module They are respectively electrically connected to the pulse compression magnetic field excitation module, the ultrasonic transducer and the conductivity module.

作进一步优化,所述脉冲压缩磁场激励模块采用能发出2~10高低电平、且均为680~720ns脉宽的连续脉冲压缩电流所产生的交变磁场的脉冲激励源。For further optimization, the pulse compression magnetic field excitation module adopts a pulse excitation source capable of emitting alternating magnetic fields generated by continuous pulse compression currents with 2-10 high and low levels and a pulse width of 680-720 ns.

作进一步优化,所述磁铁静磁场模块采用能产生0.28~0.32T静磁场的磁体。For further optimization, the magnet static magnetic field module adopts a magnet capable of generating a static magnetic field of 0.28-0.32T.

作进一步优化,所述信号采集模块包括放大器与滤波器。For further optimization, the signal acquisition module includes an amplifier and a filter.

本发明具有如下技术效果:The present invention has following technical effect:

与现有的接触式检测电极材料电导率的方法相比,本申请能够实现非接触式检测超级电容器电极材料的电导率,无需与电极材料进行接触、避免对电极材料造成损坏,无需具体限定电极材料的形状、有效保证系统针对对象的范围广;与现有感应式热声检测法相比,本申请所需的脉冲磁场小:感应式热声检测法中的激励线圈需要激励电压为1000V左右,而本申请所需的激励电压不高于100V(即所需的脉冲压缩磁场小),耗能少,避免高压环境检测、有效保证测试环境的安全性,同时,本申请通过电极材料的热声信号与磁声信号进行电导率的重建,测试信息全、获得的电导率精度更高、测试误差影响更小,尤其适用于受热膨胀影响大的电极材料的电导率测试Compared with the existing contact method for detecting the conductivity of the electrode material, this application can realize the non-contact detection of the conductivity of the electrode material of the supercapacitor, without contacting the electrode material, avoiding damage to the electrode material, and not needing to specifically limit the electrode The shape of the material and the effective guarantee system can target a wide range of objects; compared with the existing inductive thermoacoustic detection method, the pulse magnetic field required by this application is small: the excitation coil in the inductive thermoacoustic detection method requires an excitation voltage of about 1000V, However, the excitation voltage required by this application is not higher than 100V (that is, the required pulse compression magnetic field is small), less energy consumption, avoiding high-voltage environment detection, and effectively ensuring the safety of the test environment. The conductivity is reconstructed with the signal and the magnetoacoustic signal, the test information is complete, the accuracy of the obtained conductivity is higher, and the influence of the test error is less, especially suitable for the conductivity test of the electrode material that is greatly affected by thermal expansion

本申请检测方法所采用的系统小、携带方便、能有效减小测试系统所占用的空间,从而便于实验室或工业生产中的超级电容器电导率的测试;同时,本申请方法所采用的系统操作简便、应用范围广,后期保养、维护方便,测试成本低。The system adopted in the detection method of this application is small, easy to carry, and can effectively reduce the space taken by the test system, thereby facilitating the test of the conductivity of the supercapacitor in the laboratory or industrial production; at the same time, the system operation adopted by the application method Simple, wide application range, convenient post-maintenance and maintenance, low testing cost.

附图说明Description of drawings

图1为本发明实施例中的感应式脉冲压缩磁声检测系统的结构示意图。FIG. 1 is a schematic structural diagram of an inductive pulse compression magnetoacoustic detection system in an embodiment of the present invention.

100、脉冲压缩磁场激励模块;200、磁铁静磁场模块;300、超声换能器;400、信号采集模块;401、放大器;402、滤波器;500、电导率模块;600、电极材料。100. Pulse compression magnetic field excitation module; 200. Magnet static magnetic field module; 300. Ultrasonic transducer; 400. Signal acquisition module; 401. Amplifier; 402. Filter; 500. Conductivity module; 600. Electrode material.

具体实施方式Detailed ways

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

实施例:Example:

如图1所示,一种感应式脉冲压缩磁声检测方法,其特征在于:包括以下步骤:As shown in Figure 1, an inductive pulse compression magnetoacoustic detection method is characterized in that: comprising the following steps:

首先,将超级电容器的电极材料600放置在脉冲压缩磁场激励源线圈与磁铁之间,通过脉冲压缩磁场激励源激励电极材料600产生涡流,电极材料600内产生热声效应(即材料在脉冲压缩磁场激励作用下、受热膨胀,发出热声信号),并配合磁铁的静磁场产生磁声效应(即涡流在脉冲压缩磁场激励与静磁场激励作用下,产生洛伦兹力,电极材料600受洛伦兹力发生振动、产生磁声信号);然后,通过阵列布置在电极材料600周围的超声换能器300接收电极材料600受热膨胀发出的热声信号、以及电极材料600受洛伦兹力作用发出的磁声信号(热声信号与磁声信号组成超声信号、下同);最后采用信号采集模块400处理超声换能器300接收到的超声信号,并利用电导率模块500根据超声信号重建电极材料600的电导率;First, the electrode material 600 of the supercapacitor is placed between the pulse compression magnetic field excitation source coil and the magnet, the electrode material 600 is excited by the pulse compression magnetic field excitation source to generate eddy currents, and a thermoacoustic effect is generated in the electrode material 600 (that is, the material is in the pulse compression magnetic field Under the action of excitation, heat expansion, and emit a thermoacoustic signal), and cooperate with the static magnetic field of the magnet to produce a magnetoacoustic effect (that is, the eddy current generates Lorentz force under the excitation of the pulse compression magnetic field and the static magnetic field, and the electrode material 600 is affected by the Lorentz force. Vibration of the magnetic force to generate a magnetoacoustic signal); then, the ultrasonic transducer 300 arranged around the electrode material 600 receives the thermoacoustic signal generated by the thermal expansion of the electrode material 600, and the electrode material 600 is subjected to the Lorentz force. The magnetoacoustic signal (the thermoacoustic signal and the magnetoacoustic signal form the ultrasonic signal, the same below); finally, the signal acquisition module 400 is used to process the ultrasonic signal received by the ultrasonic transducer 300, and the conductivity module 500 is used to reconstruct the electrode material according to the ultrasonic signal Conductivity of 600;

电导率模块500根据超声信号重建电极材料600的电导率具体为:首先通过时间反演法重建超声信号中电极材料600的热函数与洛伦兹力散度,The electrical conductivity module 500 reconstructs the electrical conductivity of the electrode material 600 according to the ultrasonic signal specifically as follows: first, the thermal function and the Lorentz force divergence of the electrode material 600 in the ultrasonic signal are reconstructed by the time-reversal method,

具体为:Specifically:

利用时间反演法计算获得超声信号中的热函数空间吸收系数与洛伦兹力散度,具体公式为:The thermal function space absorption coefficient and the Lorentz force divergence in the ultrasonic signal are calculated by using the time inversion method. The specific formula is:

Figure BDA0003516442060000061
Figure BDA0003516442060000061

式中,CP表示电极材料的比热容(由具体采用的电极材料确定);β表示电极材料的体积膨胀系数(由具体采用的电极材料确定);Q(r)表示热函数的空间吸收系数;

Figure BDA0003516442060000071
表示梯度、为数学计算符号,F表示待检测材料内部的洛伦兹力,
Figure BDA0003516442060000072
表示电极材料的洛伦兹力散度;Ω表示超声换能器所处的曲面,具体为:以电极材料所处位置为中心位置,以超声换能器与中心位置的距离为半径所获得的圆,此圆即为超声换能器所处的曲面;cs表示声波的传播速度;r表示电极材料所处的位置;p(rd,t)表示超声换能器在检测点rd处接收的超声信号;t表示接收时间。In the formula, C P represents the specific heat capacity of the electrode material (determined by the specific electrode material used); β represents the volume expansion coefficient of the electrode material (determined by the specific electrode material used); Q(r) represents the space absorption coefficient of the thermal function;
Figure BDA0003516442060000071
Indicates the gradient and is a symbol of mathematical calculation, F indicates the Lorentz force inside the material to be tested,
Figure BDA0003516442060000072
Indicates the Lorentz force divergence of the electrode material; Ω indicates the curved surface where the ultrasonic transducer is located, specifically: taking the position of the electrode material as the center position and taking the distance between the ultrasonic transducer and the center position as the radius The circle is the curved surface where the ultrasonic transducer is located; c s represents the propagation velocity of the sound wave; r represents the position of the electrode material; p(r d , t) represents the ultrasonic transducer at the detection point r d Received ultrasonic signal; t represents the receiving time.

声波的传播速度采用超声换能器300测量、计算获得,具体为:测试开始前,结合电极材料600所处的环境,由所采用的超声换能器300发出与接收声波,通过声波的传播距离与时间差计算得到声波的传播速度。The propagation speed of the sound wave is measured and calculated by the ultrasonic transducer 300, specifically: before the test starts, combined with the environment where the electrode material 600 is located, the ultrasonic transducer 300 used to send and receive sound waves, and the propagation distance of the sound waves Calculate the propagation speed of the sound wave with the time difference.

然后通过获得的热函数与洛伦兹力散度重建电极材料600内部的电场强度,最后通过最小二乘迭代算法重建电极材料600的电导率分布,具体为:Then the electric field intensity inside the electrode material 600 is reconstructed through the obtained thermal function and the Lorentz force divergence, and finally the electrical conductivity distribution of the electrode material 600 is reconstructed through the least squares iterative algorithm, specifically:

首先通过洛伦兹力散度重建电场强度:The electric field strength is first reconstructed by the Lorentz force divergence:

Figure BDA0003516442060000073
Figure BDA0003516442060000073

式中,J表示电极材料内部电流密度;B表示电极材料所处位置的磁通密度;E表示电极材料内部电场强度;σ表示电极材料的电导率;Z表示方向;In the formula, J represents the current density inside the electrode material; B represents the magnetic flux density at the location of the electrode material; E represents the electric field strength inside the electrode material; σ represents the conductivity of the electrode material; Z represents the direction;

然后通过热函数空间吸收系数重建电场强度:The electric field strength is then reconstructed by the heat function spatial absorption coefficient:

Q(r)=σ|E(r)|2Q(r)=σ|E(r)| 2 ;

Figure BDA0003516442060000074
Figure BDA0003516442060000074

最后通过最小二乘迭代算法重建电极材料600的电导率分布:Finally, the electrical conductivity distribution of the electrode material 600 is reconstructed by the least squares iterative algorithm:

Figure BDA0003516442060000075
Figure BDA0003516442060000075

式中,f(σ)表示建立的最小二乘目标函数;A表示脉冲压缩电流产生的矢量磁位;φ表示标量电位。In the formula, f(σ) represents the established least squares objective function; A represents the vector magnetic potential generated by the pulse compression current; φ represents the scalar potential.

其中,脉冲压缩电流产生的矢量磁位获得方法如下:Among them, the vector magnetic potential generated by the pulse compression current is obtained as follows:

首先,设置轴对称载流线圈的半径为a,通入的激励脉冲压缩电流为I(t),线圈所处的平面与平面Z=0平行,且线圈的圆心位于坐标系的原点,则线电流产生的矢量磁位A为:First, the radius of the axisymmetric current-carrying coil is set as a, the input excitation pulse compression current is I(t), the plane where the coil is located is parallel to the plane Z=0, and the center of the coil is located at the origin of the coordinate system, then the line The vector magnetic potential A generated by the current is:

Figure BDA0003516442060000081
Figure BDA0003516442060000081

式中,μ0表示真空中的磁导率;

Figure BDA0003516442060000082
表示对载流线圈的圆周线进行积分;e表示单位矢量。In the formula, μ 0 represents the magnetic permeability in vacuum;
Figure BDA0003516442060000082
Represents the integral of the circumference of the current-carrying coil; e represents the unit vector.

标量电位具体获得方法为:The specific method to obtain the scalar potential is:

Figure BDA0003516442060000083
Figure BDA0003516442060000083

Figure BDA0003516442060000084
Figure BDA0003516442060000084

式中,n表示边界S的法向单位矢量,边界S为电极材料所处待测区域的边界。In the formula, n represents the normal unit vector of the boundary S, and the boundary S is the boundary of the area to be measured where the electrode material is located.

上述感应式脉冲压缩磁声检测方法所采用的系统,The system adopted in the above-mentioned inductive pulse compression magnetoacoustic detection method,

包括:脉冲压缩磁场激励模块100,用于激励电极材料600内部,产生涡流、从而使电极材料600产生热声效应;磁铁静磁场模块200,用于与脉冲压缩磁场激励模块100配合产生磁声效应;超声换能器300,用于接收电极材料600发出的超声信号;信号采集模块400,用于对超声换能器300中的超声信号进行放大和滤波;电导率模块500,用于重建电极材料600的电导率分布;It includes: a pulse compression magnetic field excitation module 100, which is used to excite the inside of the electrode material 600 to generate eddy current, so that the electrode material 600 produces a thermoacoustic effect; a magnet static magnetic field module 200, which is used to cooperate with the pulse compression magnetic field excitation module 100 to generate a magnetoacoustic effect The ultrasonic transducer 300 is used to receive the ultrasonic signal sent by the electrode material 600; the signal acquisition module 400 is used to amplify and filter the ultrasonic signal in the ultrasonic transducer 300; the conductivity module 500 is used to reconstruct the electrode material Conductivity distribution of 600;

脉冲压缩磁场激励模块100的线圈与磁铁静磁场模块200分别设置在超级电容器的电极材料600的上、下端;超声换能器300呈阵列布置在超级电容器的电极材料600的周围;信号采集模块400分别与脉冲压缩磁场激励模块100、超声换能器300、电导率模块500电连接。The coil of the pulse compression magnetic field excitation module 100 and the magnet static magnetic field module 200 are respectively arranged on the upper and lower ends of the electrode material 600 of the supercapacitor; the ultrasonic transducer 300 is arranged in an array around the electrode material 600 of the supercapacitor; the signal acquisition module 400 They are respectively electrically connected to the pulse compression magnetic field excitation module 100 , the ultrasonic transducer 300 and the conductivity module 500 .

脉冲压缩磁场激励模块100采用能发出2~10高低电平、且均为680~720ns(优选700ns)脉宽的连续脉冲压缩电流所产生的交变磁场的脉冲激励源;磁铁静磁场模块200采用能产生0.28~0.32T(优选0.3T)静磁场的磁体;信号采集模块400包括放大器401与滤波器402。The pulse compression magnetic field excitation module 100 adopts the pulse excitation source that can send out the alternating magnetic field generated by the continuous pulse compression current of 2-10 high and low levels and the pulse width of 680-720 ns (preferably 700 ns); the magnet static magnetic field module 200 adopts A magnet capable of generating a static magnetic field of 0.28-0.32T (preferably 0.3T); the signal acquisition module 400 includes an amplifier 401 and a filter 402 .

测试时,首先将电极材料600放置在脉冲压缩磁场激励模块100的线圈与磁铁静磁场模块200之间(如图1所示),然后启动脉冲压缩磁场激励模块100激励电极材料600;电极材料600内部产生涡流,且与磁铁静磁场模块200的静磁场共同作用下,产生两种效应,一是热声效应,即材料内部受热膨胀、发出热声信号;一是磁声效应,即材料内的涡流受静磁场的作用产生洛伦兹力、振动向外发出磁声信号;热声信号与磁声信号组成的超声信号被电极材料600周围阵列布置的超声换能器300接收,并经信号采集模块400内部的放大和滤波、传输给电导率模块500,最后电导率模块500内结合时间反演法与最小二乘迭代算法,重建出电极材料600的电导率分布。During the test, at first the electrode material 600 is placed between the coil of the pulse compression magnetic field excitation module 100 and the magnet static magnetic field module 200 (as shown in Figure 1), then the pulse compression magnetic field excitation module 100 is started to excite the electrode material 600; the electrode material 600 The eddy current is generated inside, and under the joint action of the static magnetic field of the magnet static magnetic field module 200, two effects are produced, one is the thermoacoustic effect, that is, the material expands when heated and emits a thermoacoustic signal; the other is the magnetoacoustic effect, that is, the The eddy current is affected by the static magnetic field to generate Lorentz force, and the vibration sends out a magnetoacoustic signal; the ultrasonic signal composed of the thermoacoustic signal and the magnetoacoustic signal is received by the ultrasonic transducer 300 arranged in an array around the electrode material 600, and the signal is collected The amplification and filtering inside the module 400 are transmitted to the conductivity module 500 , and finally the conductivity module 500 combines the time inversion method and the least squares iterative algorithm to reconstruct the conductivity distribution of the electrode material 600 .

尽管已经示出和描述了本发明的实施例,对于本领域的普通技术人员而言,可以理解在不脱离本发明的原理和精神的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由所附权利要求及其等同物限定。Although the embodiments of the present invention have been shown and described, those skilled in the art can understand that various changes, modifications and substitutions can be made to these embodiments without departing from the principle and spirit of the present invention. and modifications, the scope of the invention is defined by the appended claims and their equivalents.

Claims (6)

1.一种感应式脉冲压缩磁声检测方法,其特征在于:包括以下步骤:1. An inductive pulse compression magnetoacoustic detection method, characterized in that: comprises the following steps: 首先,将超级电容器的电极材料(600)放置在脉冲压缩磁场激励源线圈与磁铁之间,通过脉冲压缩磁场激励源激励电极材料(600)产生涡流,电极材料(600)内产生热声效应,并配合磁铁的静磁场产生磁声效应;然后,通过阵列布置在电极材料(600)周围的超声换能器(300)接收电极材料(600)受热膨胀发出的热声信号、以及电极材料(600)受洛伦兹力作用发出的磁声信号;最后采用信号采集模块(400)处理超声换能器(300)接收到的超声信号,并利用电导率模块(500)根据超声信号重建电极材料(600)的电导率;First, the electrode material (600) of the supercapacitor is placed between the pulse compression magnetic field excitation source coil and the magnet, the electrode material (600) is excited by the pulse compression magnetic field excitation source to generate eddy current, and a thermoacoustic effect is generated in the electrode material (600), and cooperate with the static magnetic field of the magnet to produce a magnetoacoustic effect; then, the ultrasonic transducer (300) arranged around the electrode material (600) receives the thermoacoustic signal from the thermal expansion of the electrode material (600), and the electrode material (600 ) is a magnetoacoustic signal sent by Lorentz force; finally, the signal acquisition module (400) is used to process the ultrasonic signal received by the ultrasonic transducer (300), and the conductivity module (500) is used to reconstruct the electrode material according to the ultrasonic signal ( 600) conductivity; 所述电导率模块(500)根据超声信号重建电极材料(600)的电导率具体为:首先通过时间反演法重建超声信号中电极材料(600)的热函数与洛伦兹力散度,然后通过获得的热函数与洛伦兹力散度重建电极材料(600)内部的电场强度,最后通过最小二乘迭代算法重建电极材料(600)的电导率分布。The electrical conductivity module (500) reconstructs the electrical conductivity of the electrode material (600) according to the ultrasonic signal specifically as follows: first, the thermal function and the Lorentz force divergence of the electrode material (600) in the ultrasonic signal are reconstructed by the time-reversal method, and then The electric field intensity inside the electrode material (600) is reconstructed through the obtained thermal function and the Lorentz force divergence, and finally the electrical conductivity distribution of the electrode material (600) is reconstructed through a least squares iterative algorithm. 2.根据权利要求1所述的一种感应式脉冲压缩磁声检测方法,其特征在于:所述通过时间反演法重建电极材料(600)的热函数与洛伦兹力散度具体为:2. A kind of inductive pulse compression magnetoacoustic detection method according to claim 1, is characterized in that: described heat function and Lorentz force divergence of described rebuilding electrode material (600) by time inversion method are specifically: 利用时间反演法计算获得超声信号中的热函数空间吸收系数与洛伦兹力散度,具体公式为:The thermal function space absorption coefficient and the Lorentz force divergence in the ultrasonic signal are calculated by using the time inversion method. The specific formula is:
Figure FDA0003516442050000011
Figure FDA0003516442050000011
式中,CP表示电极材料的比热容;β表示电极材料的体积膨胀系数;Q(r)表示热函数的空间吸收系数;
Figure FDA0003516442050000012
表示梯度、为数学计算符号,F表示待检测材料内部的洛伦兹力,
Figure FDA0003516442050000013
表示电极材料的洛伦兹力散度;Ω表示超声换能器所处的曲面,具体为:以电极材料所处位置为中心位置,以超声换能器与中心位置的距离为半径所获得的圆,此圆即为超声换能器所处的曲面;cs表示声波的传播速度;r表示电极材料所处的位置;p(rd,t)表示超声换能器在检测点rd处接收的超声信号;t表示接收时间。
In the formula, C P represents the specific heat capacity of the electrode material; β represents the volume expansion coefficient of the electrode material; Q(r) represents the space absorption coefficient of the thermal function;
Figure FDA0003516442050000012
Indicates the gradient and is a symbol of mathematical calculation, F indicates the Lorentz force inside the material to be tested,
Figure FDA0003516442050000013
Indicates the Lorentz force divergence of the electrode material; Ω indicates the curved surface where the ultrasonic transducer is located, specifically: taking the position of the electrode material as the center position and taking the distance between the ultrasonic transducer and the center position as the radius The circle is the curved surface where the ultrasonic transducer is located; c s represents the propagation velocity of the sound wave; r represents the position of the electrode material; p(r d , t) represents the ultrasonic transducer at the detection point r d Received ultrasonic signal; t represents the receiving time.
3.根据权利要求1或2所述的一种感应式脉冲压缩磁声检测方法,其特征在于:所述通过获得的热函数与洛伦兹力散度重建电极材料(600)内部的电场强度、以及通过最小二乘迭代算法重建电极材料(600)的电导率分布具体为:3. A kind of inductive pulse compression magnetoacoustic detection method according to claim 1 or 2, characterized in that: the electric field intensity inside the electrode material (600) is reconstructed by the obtained heat function and Lorentz force divergence , and the electrical conductivity distribution of the electrode material (600) reconstructed by the least squares iterative algorithm is specifically: 首先通过洛伦兹力散度重建电场强度:The electric field strength is first reconstructed by the Lorentz force divergence:
Figure FDA0003516442050000021
Figure FDA0003516442050000021
式中,J表示电极材料内部电流密度;B表示电极材料所处位置的磁通密度;E表示电极材料内部电场强度;σ表示电极材料的电导率;Z表示方向;In the formula, J represents the current density inside the electrode material; B represents the magnetic flux density at the location of the electrode material; E represents the electric field strength inside the electrode material; σ represents the conductivity of the electrode material; Z represents the direction; 然后通过热函数空间吸收系数重建电场强度:The electric field strength is then reconstructed by the heat function spatial absorption coefficient: Q(r)=σ|E(r)|2Q(r)=σ|E(r)| 2 ;
Figure FDA0003516442050000022
Figure FDA0003516442050000022
最后通过最小二乘迭代算法重建电极材料(600)的电导率分布:Finally, the electrical conductivity distribution of the electrode material (600) is reconstructed by the least squares iterative algorithm:
Figure FDA0003516442050000023
Figure FDA0003516442050000023
式中,f(σ)表示建立的最小二乘目标函数;A表示脉冲压缩电流产生的矢量磁位;φ表示标量电位。In the formula, f(σ) represents the established least squares objective function; A represents the vector magnetic potential generated by the pulse compression current; φ represents the scalar potential.
4.根据权利要求1~3任一项所述的一种感应式脉冲压缩磁声检测方法,其特征在于:所述脉冲压缩电流产生的矢量磁位获得方法如下:4. An inductive pulse compression magnetoacoustic detection method according to any one of claims 1 to 3, characterized in that: the vector magnetic potential generated by the pulse compression current is obtained as follows: 首先,设置轴对称载流线圈的半径为a,通入的激励脉冲压缩电流为I(t),线圈所处的平面与平面Z=0平行,且线圈的圆心位于坐标系的原点,则线电流产生的矢量磁位A为:First, the radius of the axisymmetric current-carrying coil is set as a, the input excitation pulse compression current is I(t), the plane where the coil is located is parallel to the plane Z=0, and the center of the coil is located at the origin of the coordinate system, then the line The vector magnetic potential A generated by the current is:
Figure FDA0003516442050000024
Figure FDA0003516442050000024
式中,μ0表示真空中的磁导率;
Figure FDA0003516442050000031
表示对载流线圈的圆周线进行积分;e表示单位矢量。
In the formula, μ 0 represents the magnetic permeability in vacuum;
Figure FDA0003516442050000031
Represents the integral of the circumference of the current-carrying coil; e represents the unit vector.
5.根据权利要求1所述的一种感应式脉冲压缩磁声检测方法,其特征在于:5. A kind of inductive pulse compression magnetoacoustic detection method according to claim 1, characterized in that: 该方法所采用的系统包括:脉冲压缩磁场激励模块(100),用于激励电极材料(600)内部产生涡流、从而使电极材料(600)产生热声效应;磁铁静磁场模块(200),用于与脉冲压缩磁场激励模块(100)配合产生磁声效应;超声换能器(300),用于接收电极材料(600)发出的超声信号;信号采集模块(400),用于对超声换能器(300)中的超声信号进行放大和滤波;电导率模块(500),用于重建电极材料(600)的电导率分布;The system adopted in the method includes: a pulse compression magnetic field excitation module (100), used to excite the eddy current generated inside the electrode material (600), so that the electrode material (600) produces a thermoacoustic effect; a magnet static magnetic field module (200), used Cooperating with the pulse compression magnetic field excitation module (100) to generate magneto-acoustic effects; the ultrasonic transducer (300) is used to receive the ultrasonic signal sent by the electrode material (600); the signal acquisition module (400) is used to transduce ultrasonic energy The ultrasonic signal in the device (300) is amplified and filtered; the conductivity module (500) is used to reconstruct the conductivity distribution of the electrode material (600); 所述脉冲压缩磁场激励模块(100)的线圈与磁铁静磁场模块(200)分别设置在超级电容器的电极材料(600)的上、下端;所述超声换能器(300)呈阵列布置在超级电容器的电极材料(600)的周围;所述信号采集模块(400)分别与脉冲压缩磁场激励模块(100)、超声换能器(300)、电导率模块(500)电连接。The coil and the magnet static magnetic field module (200) of the pulse compression magnetic field excitation module (100) are respectively arranged on the upper and lower ends of the electrode material (600) of the supercapacitor; the ultrasonic transducers (300) are arranged in an array on the supercapacitor Around the electrode material (600) of the capacitor; the signal acquisition module (400) is electrically connected to the pulse compression magnetic field excitation module (100), the ultrasonic transducer (300), and the conductivity module (500). 6.根据权利要求5所述的一种感应式脉冲压缩磁声检测方法,其特征在于:所述脉冲压缩磁场激励模块(100)采用能发出2~10高低电平、且均为680~720ns脉宽的连续脉冲压缩电流所产生的交变磁场的脉冲激励源。6. An inductive pulse compression magnetoacoustic detection method according to claim 5, characterized in that: the pulse compression magnetic field excitation module (100) adopts a method capable of emitting 2 to 10 high and low levels, and both are 680 to 720 ns The pulse excitation source of the alternating magnetic field generated by the continuous pulse compression current of pulse width.
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