A double coil method for simultaneously measuring the resistivity,permeability, and thickness of a moving metal sheet

A method to determine the resistivity, permeability and thickness of moving magnetic sheets is described. The parameters of a sample sheet inserted between two coils facing each other are determined by measuring the impedance of the two coils at two different frequencies. To compare the experimental data with theoretical values, the difference in the impedance of the coils between two cases is used: when the current passes through the coils in the same direction, and in opposite directions. The method was tested by measuring the resistivity, permeability and thickness of nickel and iron sheets, 1 mm thick, moving at velocities varying from 0 to 6 m/s. It was possible to accurately determine the resistivity, thickness, and permeability within 10%, 10%, and 20%, respectively, at frequencies of 400 and 800 Hz     

The study of SPRM method for a short-length rod-shaped sample

The SRPM (simultaneous resistivity and permeability measurement) method, which simultaneously estimates the electrical and magnetic properties of a rod-shaped sample conductor, has been studied. In the SRPM method, the theoretical and measured values of the difference in the complex impedance of a solenoid coil with and without the sample are used. To estimate the resistivity of a short-length sample, the difference in the complex impedance was calculated by the method of weighted residual (MWR), as the difference calculated by the former SRPM method was valid only for a longer sample. The resistivity of copper samples of various lengths was estimated by the SRPM method, and their ratios to those measured by the DC four-probe method were obtained. The ratio was less than 1.3% when the ratio of the length of the sample conductor to the length of the solenoid coil was larger than 1 and less than 3.1% when the length ratio was less than 1     

Calculation of the difference in impedance for a solenoid coil withand without a sample conductor

Either the resistivity and permeability of a magnetic material or the resistivity and magnetic penetration depth of a superconductor can be simultaneously estimated from the difference in the complex impedance between a circular solenoid coil coaxially surrounding a cylindrical conductor and an identical coil without a sample conductor. A method for calculating the difference in the complex impedance at a high frequency including the displacement current to an accuracy of 0.1% is reported. Comparison of the values calculated by this method and the values obtained by a conventional method which does not include the term of displacement current is also included     

Calculation of self- and mutual impedances in planar sandwichinductors

High-frequency planar magnetic components, employing thin film and thick film technology, have become important components in applications, such as filters and switching converters, due to their ease of manufacture and reliability. In a previous paper, the authors established a frequency dependent impedance formula for planar coils on a magnetic substrate that is infinitely thick. In this paper, two new impedance models are described: the first is for planar coils on a magnetic substrate of finite thickness, and the second represents a planar coil sandwiched between two substrates. The models include the electrical conductivity of the magnetic material so that the effects of eddy currents, particularly at high frequencies, are taken into account. The eddy currents reduce the inductance and increase the losses associated with the device. The new impedance formulas are derived from Maxwell's equations. Simulations were carried out on a typical device, using finite element analysis, and the results validate the new formulas. This paper establishes the frequency limitations of lossy magnetic substrates     

Measuring the temperature dependence of resistivity of high puritycopper using a solenoid coil (SRPM method)

The resistivity of high purity copper was measured by a method which estimates it by using the difference in the impedance between a circular multilayer solenoid coil with a circular rod-shaped copper sample and a similar coil without a copper sample (SRPM method). The residual resistivity ratio (RRR) of high purity copper measured at 100 Hz by the SRPM method has correlated well with the values measured by the DC four-probe method. It was confirmed that an accurate measurement of the resistivity to 10^-12 Ωm is possible by the SRPM method. Frequency dependence was confirmed to exist in high purity copper with very low resistivity. As the measuring frequency is raised, the decrease in skin depth seems to affect the resistivity     

The problem of uniqueness of fit for viscoelastic films on thickness-shear mode resonator surfaces

We describe a new strategy for interpreting frequency responses of thickness shear mode resonators loaded with spatially uniform viscoelastic films. This procedure leads to unambiguous extraction of the four parameters that characterize such a film: its thickness, density and shear modulus components (storage and loss moduli). The interpretational difficulty is that the experimental frequency response (impedance spectrum) can only provide two parameters; thus, the problem is underdetermined. Previous interpretations employed various approximations and assumptions for two (or more) film parameters to effectively reduce the problem to a two-parameter fit. Such approaches are clearly imperfect. Our new strategy splits the problem into two separate two-parameter sub-problems, each of which is solved by the measurement of two different experimental responses. The result is a unique fit to the data without the need to make approximations or assumptions for film parameters. First, in the acoustically thin regime, measured frequency shift and film charge are combined to provide a unique solution for film thickness and density; shear moduli components do not affect the response in this regime. Second, film density is carried forward directly, and the film thickness-charge relationship is extrapolated into the acoustically thick regime. Third, with film density and thickness held fixed, crystal impedance data in the acoustically thick regime provide unambiguous shear modulus components. The method is generalized to any other (nonelectrochemical) probe that provides film thickness data and validated using crystal impedance data for poly(3-methylthiophene) films exposed to propylene carbonate.     

A method for simultaneously measuring resistivity and permeabilitywith a multilayer solenoid coil

A formula is given for a more accurate estimate of either the resistivity and permeability of a cylindrical magnetic material or the resistivity and penetration depth of a cylindrical superconductor, using the difference in the complex impedance between a circular multilayer solenoid coil having a conductor and a similar coil without a conductor. In comparison with the conventional method which uses a single-layer solenoid coil, it is shown experimentally that a multilayer solenoid coil is more effective for a short sample conductor because a larger difference in the complex impedance is obtained without increasing the width of the solenoid coil. The results of measurements of magnetic and superconductive materials are included     

Off-diagonal magnetoimpedance in NiFe-Au-NiFe layered film and its application to linear magnetic sensors

We have measured the field dependence of the off-diagonal impedance in the megahertz frequency range for a NiFe-Au-NiFe layered film using a helical microcoil. The film and the coil were deposited by means of radio-frequency sputtering, and a transverse anisotropy in magnetic layers was established by applying a dc magnetic field during the deposition and by postproduction annealing. The film had 5 mm length, 50 /spl mu/m width, and 1.5 /spl mu/m total thickness. The helical microcoil had 23 turns with a 50 /spl mu/m turn width. We applied high-frequency excitation by means of the coil current and measured the induced voltage across the film stripe. This voltage response is directly proportional to the off-diagonal component of the total impedance tensor. We found that the plots of the real and imaginary parts of the off-diagonal impedance, as functions of the applied dc magnetic field, are antisymmetrical with respect to the field direction. The dc bias current through the film plays an important role: without the bias current, the measured signal is very small and irregular. The field antisymmetry demonstrated by the off-diagonal impedance can be utilized in highly sensitive and linear magnetic sensors, and we discuss the principles of operation of such sensors here.     

A novel planar mesh-type microelectromagnetic sensor. Part II. Estimation of system properties

The use of planar-type sensors for the estimation of system properties has gained considerable importance in recent times because of its noncontact and nondestructive nature. The impedance of a coil in proximity of any conducting/nonconducting, magnetic/nonmagnetic surface is a complex function of many parameters, such as conductivity, permeability, and permittivity of near-surface materials, liftoff and coil pitch of the coil, etc. The transfer impedance (i.e., the ratio between the sensing voltage and the exciting current) of the planar-type microelectromagnetic sensors consisting of exciting and sensing coils is used for the estimation of the near-surface system properties. Two methods have been discussed for the postprocessing of output parameters from the measured impedance data. Based on the estimation of near-surface properties, it is possible to detect the existence of defects, to predict the degradation of material, fatigue, etc.     

Frequency response of a thin cobalt film magnetooptic sensor

The magnetooptic effect is due to a change in the polarization of the light when it is reflected or passes through a magnetized material. The rotation of the polarization plane is proportional to the magnetic field. The great advantage of using a magnetooptic sensor to measure intensity or magnetic fields is its wide bandwidth. This fact is widely known; however, no effective measurements have been taken. In this paper, we present the frequency response of a cobalt thin film used as magnetooptic material. It was first excited by several sinusoidal magnetic fields at different frequencies. The range of frequencies studied in the first experiment reached 179 Hz, which is suitable for measuring power line intensity or magnetic fields. Because the coil that creates the magnetic field has a great impedance at higher frequencies, an alternative method based on magnetic impulses has been designed to obtain high-frequency data. With the latest experiments we have been able to measure frequencies as high as 2 MHz, obtaining a flat frequency response.     

Inductance of Bitter Coil with Rectangular Cross-section

The self-inductance of Bitter coil and mutual inductance between coaxial Bitter coils with rectangular cross-section using semi-analytical expressions based on two integrations were introduced. The current density of the Bitter coil in radial direction is inversely proportional to its radius. The obtained expressions can be implemented by Gauss integration method with FORTRAN programming. We confirm the validity of inductance results by comparing them with finite filament method and finite element method. The inductance values computed by three methods are in excellent agreement. The derived expressions of inductance of Bitter coils with rectangular cross-section allow a low computational time compared with finite filament method to a specific accuracy. The derived mutual inductance expressions can be used to accurately calculate the axial force between coaxial Bitter coils with mutual inductance gradient method.     

Mutual Inductance and Force Calculations Between Coaxial Bitter Coils and Superconducting Coils with Rectangular Cross Section

Mutual inductance and force calculations between coaxial Bitter coils and superconducting coils with rectangular cross section in a hybrid magnet system using derived semi-analytical expressions based on two integrations were performed. The mutual inductance and force calculations are based on the assumption of the uniform current density distribution in superconducting coils. The current density distribution of a Bitter coil in radial direction, however, is inversely proportional to the radius of the Bitter coil. The influence of the current density redistribution caused by a cooling hole and an inhomogeneous temperature distribution of Bitter coil of a water-cooled magnet was not considered. The obtained expressions can be implemented by Simpson’s integration with FORTRAN programming. We confirm the validity of mutual inductance calculation by comparing it with a filament method, and give the accuracy of two methods. The mutual inductance values computed by two methods are in excellent agreement. The derived semi-analytical expressions of mutual inductance allow a low computational time compared with filament method to a specific accuracy. The force is derived by multiplying the currents of the two coils by their mutual inductance gradient.     

Reconstructing electrical conductivity profiles from variable-frequency eddy current measurements

A method for reconstructing radially varying conductivity profiles in cylindrical conductors is described. Solenoidal driving and sensing coils surround the cylindrical sample and an AC magnetic field applied by the driving solenoid induces axisymmetric eddy currents in the sample. It is shown how a radially varying conductivity profile can be recovered from measurements of the complex impedance recorded as a function of frequency, where impedance here is defined as the ratio of the induced electromotive force (EMF) in the sensing coil to the current in the driving coil. An iterative nonlinear least-squares algorithm is employed to reconstruct the profiles. Demonstrations of the reconstruction method are presented based on both simulated and experimentally recorded impedance data.     

Using a Single Toroidal Sample to Determine the Intrinsic Complex Permeability and Permittivity of Mn–Zn Ferrites

Analysis of the principle of the published lumped circuit methods for determination of the intrinsic complex permeability and permittivity of the Mn-Zn ferrites reveals that as long as the electric and the magnetic field distributions in the core(s) in two measurements are different, the two intrinsic values can be determined. Using this principle, we developed a set of general lumped circuit methods based on a toroidal Mn-Zn ferrite core as the measurement sample. We examined two possible different excitation modes: magnetic field excitation and electric field excitation. The two different excitation modes result in significantly different field distributions in the sample. Thus, high accuracy can be guaranteed in principle. For the magnetic field excitation, we present in this paper a general finite-difference method to solve the fields in the core and the impedance of the ferrite core inductor. To avoid the stray capacitance among the coils of the ferrite core winding inductor in the measurement, we made a set of short-ended coaxial test fixtures. We performed experiments to determine the intrinsic complex permeability and permittivity of a Mn-Zn ferrite core up to 10 MHz by using the two general methods and validated the measured intrinsic values experimentally.     

原油含水率检测线圈传感器的优化

为了提高电磁电导法管外测量原油含水率线圈传感器的灵敏度,对影响灵敏度的关键参数--线圈传 感器的距离进行了优化设计。在保持最优频率和电流强度不变的情况下,首先,使用ANSYS进行电磁仿真,通过比较发射线圈和屏蔽线圈在管道内部产生的磁场强度大小确定了两线圈之间的最优距离为0.6 m;然后,利用 MATLAB从0. 1 m到1 m对接收线圈上的电压进行了数据计算,结果表明0. 6 m处的电压值最大,最优距离使原油 含水率的有用信号从0.1 m或1 m的0.03 μV提高到了0.6m的1.27 μV,使传感器的灵敏度提高了41倍;最后, 实际测试了两线圈距离从0.1 m至1 m接收线圈上多点电压值,实验结果表明0. 6 m处的电压值最大,进一步证明了 0. 6 m为两个线圈间的最优距离。     

Experimental optimization of the probe for eddy-currentdisplacement transducer

The experimental optimization of the coil for an eddy-current displacement transducer probe is presented in the paper. The coil geometry is optimized for the special design of the transducer as a meter of the real part of the probe's impedance. Measurement of the transducer's transfer function has been performed with several samples of ring-shaped coils, as well as with the flat, pancake-shaped coil and with the single-layered cylindrical coil. For the sake of comparison, measurement with the ferrite-cored coil has been included too. The measurement results clearly indicate that the optimal coil geometry is a ring with a uniform and very small cross section of the winding     

Determination of Thickness of Silver Coatings on Brass by Measuring the Impedance of a Thin Elliptic Coil

To measure the impedance of a thin elliptically shaped coil, in presence of a flat plate with a coat of metal, can be an instrument for determination of the cladding thickness. An electromagnetic field from the coil is then forced to the object, producing eddy currents inside the object. These are influenced by the characteristics of the object and the coil and give rise to an impedance change, which can be detected and correlated to the thickness of the coating. An electromagnetic model accounting for the impedance of the elliptic coil with different values on the numerical eccentricity and the coating thickness is described. The model is based on a dyadic Green function formulation of the problem from which the electric field and hence the impedance is evaluated by utilizing the method of scattering super position. Numerical calculations based on the model and experimental measurements have been taken. An example shows how the model can be used to model a brass surface with a coat of silver to find expected impedance as function of the coating thickness     

Eddy-Current Nondestructive Inspection with Thin Spiral Coils: Long Cracks in Steel

The impedance of a cylindrical coil and a planar circular spiral coil carrying an alternating current above (i) a defect-free conducting magnetic half-space and (ii) a conducting magnetic half-space containing an infinitely long slot with uniform depth and width is examined in detail. Closed-form expressions for the coil impedance in these cases are presented, based on the theories of Dodd and Deeds and Harfield and Bowler. The validity of these expressions is tested by measurements using steel plates over the frequency range 100 Hz-10 MHz. The theoretical predictions are in good agreement with experiment, with the best agreement for the smallest slot width. The results confirm that thin, flexible spiral coils offer some attractive features for eddy-current detection of cracks in metals, particularly in terms of sensitivity and potential for unobtrusive permanent attachment to the material being inspected. Approximate expressions for a spiral coil above a defect-free magnetic half-space are also given to allow easy calculation in limiting cases.     

Resistivity Measurement of a Small-Volume Sample Using Two Planar Disc Electrodes and a New Geometric Factor

In this work, we derive a new geometric factor in oblate spheroidal coordinates for conductivity or resistivity measurements using two planar disc electrodes based on the electromagnetic field theory and neglecting the electrode polarization effects. The experiments were conducted on saline solutions contained in a grounded metallic bath to validate the obtained values of the derived geometric factor. The effect of the polarization impedance at the electrodes is found to be negligible when using relatively nonpolarizable silver-silver chloride electrodes at a frequency of 3 kHz. Our experimental results also show that the resistivity values determined using both the new geometric factor and a commercial conductivity meter are in good agreement for small electrode radius, interelectrode spacing and depth of sample, therefore making it a promising technique for applications in microfluidics devices. The effects of current density and temperature on the measurement results are also presented.     

Multiple solenoidal microcoil probes for high-sensitivity, high-throughput nuclear magnetic resonance spectroscopy

Two designs for incorporating multiple solenoidal microcoils into a single probe head are presented to increase the throughput of high-resolution NMR. Through a combination of radio frequency switches and low-noise amplifiers, multiple NMR spectra can be acquired in the same time as a single spectrum from a conventional probe consisting of one coil. Since this method does not compromise sensitivity with regard to the individual microcoils, throughput increases linearly with the number of coils. Only one receiver is needed, and data acquisition parameters can be optimized for each sample. Specifically, a four-coil system has been implemented for proton NMR at 250 MHz using a wide-bore magnet, with an observe volume of 28 nL for each microcoil. Signal cross-contamination was approximately 0.2% between individual coils, and simultaneous one- and two-dimensional spectra have been obtained from samples of fructose, galactose, adenosine triphosphate, and chloroquine (7 nmol of each compound). A more compact two-coil configuration has also been designed for operation at 500 MHz, with observe volumes of 5 and 31 nL for the two coils. One- and two-dimensional spectra were acquired from samples of 1-butanol (55 nmol) and ethylbenzene (250 nmol).