WO2021208219A1 - 一种空心线圈结构参数仿真设计方法、装置及电子设备 - Google Patents

一种空心线圈结构参数仿真设计方法、装置及电子设备 Download PDF

Info

Publication number
WO2021208219A1
WO2021208219A1 PCT/CN2020/095300 CN2020095300W WO2021208219A1 WO 2021208219 A1 WO2021208219 A1 WO 2021208219A1 CN 2020095300 W CN2020095300 W CN 2020095300W WO 2021208219 A1 WO2021208219 A1 WO 2021208219A1
Authority
WO
WIPO (PCT)
Prior art keywords
function
air
core coil
equivalent
impedance
Prior art date
Application number
PCT/CN2020/095300
Other languages
English (en)
French (fr)
Inventor
底青云
康利利
王中兴
刘志尧
张天信
尹雄
Original Assignee
中国科学院地质与地球物理研究所
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 中国科学院地质与地球物理研究所 filed Critical 中国科学院地质与地球物理研究所
Priority to US17/485,106 priority Critical patent/US20220011350A1/en
Publication of WO2021208219A1 publication Critical patent/WO2021208219A1/zh

Links

Images

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R15/00—Details of measuring arrangements of the types provided for in groups G01R17/00 - G01R29/00, G01R33/00 - G01R33/26 or G01R35/00
    • G01R15/14—Adaptations providing voltage or current isolation, e.g. for high-voltage or high-current networks
    • G01R15/18—Adaptations providing voltage or current isolation, e.g. for high-voltage or high-current networks using inductive devices, e.g. transformers
    • G01R15/181—Adaptations providing voltage or current isolation, e.g. for high-voltage or high-current networks using inductive devices, e.g. transformers using coils without a magnetic core, e.g. Rogowski coils
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00—Arrangements or instruments for measuring magnetic variables
    • G01R33/02—Measuring direction or magnitude of magnetic fields or magnetic flux
    • G01R33/028—Electrodynamic magnetometers
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R1/00—Details of instruments or arrangements of the types included in groups G01R5/00 - G01R13/00 and G01R31/00
    • G01R1/02—General constructional details
    • G01R1/18—Screening arrangements against electric or magnetic fields, e.g. against earth's field
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00—Arrangements or instruments for measuring magnetic variables
    • G01R33/0023—Electronic aspects, e.g. circuits for stimulation, evaluation, control; Treating the measured signals; calibration
    • G01R33/0029—Treating the measured signals, e.g. removing offset or noise
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00—Arrangements or instruments for measuring magnetic variables
    • G01R33/0023—Electronic aspects, e.g. circuits for stimulation, evaluation, control; Treating the measured signals; calibration
    • G01R33/0041—Electronic aspects, e.g. circuits for stimulation, evaluation, control; Treating the measured signals; calibration using feed-back or modulation techniques
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00—Arrangements or instruments for measuring magnetic variables
    • G01R33/0064—Arrangements or instruments for measuring magnetic variables comprising means for performing simulations, e.g. of the magnetic variable to be measured

Definitions

  • the present invention relates to the technical field of electromagnetic detection, in particular to a method, device and electronic equipment for the simulation design of air-core coil structure parameters.
  • Electromagnetic method is a method that uses the principle of electromagnetic induction and the propagation characteristics of electromagnetic waves to realize underground detection according to the conductivity and magnetic permeability of the underground medium. It is widely used in the fields of mineral resource exploration and engineering geological survey. With the development of the theory of electromagnetic detection methods, electromagnetic detection technology is constantly updated, and electromagnetic detection systems in wells, ground, ground-to-air, and aviation are booming. As the medium for acquiring magnetic field information, magnetic sensors are the indispensable key core of all electromagnetic detection systems that need to observe magnetic fields.
  • Air-coil magnetic sensor (ACS) is one of the commonly used magnetic sensors. Its working principle is based on the principle of electromagnetic induction, which converts the change of magnetic flux passing through the coil into induced electromotive force, thereby realizing magnetic field measurement. ACS has a wide bandwidth, stable operation, and its non-magnetic core is less affected by movement. It is widely used in ground, ground-to-air and aviation electromagnetic detection systems.
  • the existing commercial ACS is mainly designed to match the specific needs of a specific system, and the universality and scalability of the sensor is poor.
  • Geonics has introduced a series of sensors with different bandwidths and effective areas, including Rigid-coil and 3D-3, but this type of ACS is not suitable for higher sensitivity.
  • On-demand ground-to-air transient electromagnetic detection system In response to the needs of aviation electromagnetic detection systems, the ACS in the VTEM and ZTEM systems launched by Geotech has a large effective area, but at the same time it is large in size and mass, so it is not suitable for ground or ground-to-air electromagnetic detection systems.
  • the existing optimization design methods generally aim at one or more of the bandwidth, effective area, or noise level of the ACS, and simulate and design certain specific parameters among the diameter, number of turns, and pre-gain of the ACS.
  • the optimized design parameters of the Induction Magnetometer (IM) include: the diameter of the skeleton and the number of turns of the coil. Yan Bin et al. optimized the design of the IM skeleton diameter and the number of coil turns under the conditions of limited volume, limited mass, and given magnetic core under other similar conditions.
  • the existing ACS simulation design method and strategy are not complete enough, the relationship between the index requirements and the process structure parameters is not clear enough, and the parameters that can be optimized are not perfect, which cannot meet the serialization and high-performance development needs of the ACS required by the detection system.
  • the existing ACS parameter optimization design methods all use the analytical solution method combining Lagrangian operator and least squares fitting algorithm to solve the optimal solution of the equation system, and then obtain clear ACS optimization design parameters.
  • the analytical solution of the optimal solution has a complex algorithm, a long calculation time, and the calculation accuracy is easily affected by the adjustable parameters in the equations.
  • the constraints or parameters to be optimized are increased, the computational complexity of the algorithm is significantly increased and the computational effectiveness is significantly reduced.
  • the purpose of the present invention is to provide an air-core coil structure parameter simulation design method, device and electronic equipment to solve the problem of complicated calculation of the air-core coil structure parameter and time-consuming in the prior art.
  • the first aspect of the present invention provides a simulation design method of air-core coil structure parameters, which includes: establishing an impedance function of the air-core coil according to the structural parameter variables, the air-core coil is a differential structure, and the air-core coil is Completely parallel winding method for winding; using the impedance function to calculate the equivalent bandwidth, sensitivity and equivalent noise power spectrum to establish the index function of the air-core coil; using the mass and/or volume limit, combining the index function and structure
  • the limit of parameter variables is used to construct a limiting function; the optimal solution of the limiting function is calculated to obtain the structural parameters of the hollow coil.
  • the establishment of the impedance function of the air-core coil according to the structural parameter variables includes: calculating the internal impedance function of the air-core coil, including: an equivalent inductance function, a distributed capacitance function, and an equivalent internal resistance function; setting a damping coefficient, and calculating Match the matching resistance function of the air-core coil; wherein, the equivalent inductance function is:
  • the distributed capacitance function is:
  • Is the turn-to-turn capacitance function Is a function of interlayer capacitance, Is the inter-segment capacitance function
  • ⁇ 0 , ⁇ l , ⁇ a and ⁇ g are the vacuum permittivity, the permittivity of the inter-turn medium, the permittivity of the interlayer medium and the permittivity of the inter-segment medium, respectively
  • N s Is the number of air-core coil segments, e is the distance between air-core coil segments, d w is the distance between the center of the air-core coil wire, and l is the slot width of a single-segment air-core coil;
  • the equivalent internal resistance function is:
  • ⁇ is the resistivity of the wire core
  • damping coefficient and the internal impedance function and the matching resistance function satisfy the following matching function:
  • the damping coefficient can be set to a specific value greater than 1, equal to 1, or less than 1.
  • the damping coefficient is greater than 1, the air-core coil is in an over-damped state; when the damping coefficient is equal to 1, the air-core coil is in a critically damped state
  • the damping coefficient is less than 1, the air-core coil is in an underdamped state; the matching resistance function is calculated according to the impedance function and the set value of the damping coefficient:
  • the calculation of the equivalent bandwidth, sensitivity, and equivalent noise power spectrum by using the impedance function, and establishing the index function of the air-core coil specifically includes: using the impedance function to calculate the equivalent bandwidth, sensitivity, and equivalent noise power Spectrum, establish equivalent bandwidth relation function, sensitivity relation function and equivalent noise power spectral density relation function.
  • B w is the equivalent bandwidth function
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function.
  • the sensitivity function is:
  • the transfer function of the single-ended air-core coil is:
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function
  • H A ( ⁇ ) is based on the actual previous The equivalent circuit model of the amplifier is obtained.
  • S c ( ⁇ ) is the sensitivity function of the air-core coil
  • E nr , E ni and Env are respectively the equivalent input resistance thermal noise of the air-core coil sensor
  • the equivalent input offset voltage noise and equivalent input offset current noise can be calculated based on the air-core coil impedance function and the actual preamplifier equivalent circuit model.
  • the calculating the optimal solution of the limiting function to obtain the structural parameters of the air-core coil is specifically: calculating the optimal solution of the limiting function by a numerical method to obtain the structural parameters.
  • the calculating the optimal solution of the limiting function to obtain the structural parameters of the hollow coil includes: calculating and plotting corresponding parameters according to the value range of the structural parameter variable, the index function, and the quality and/or volume limit The limiting function curve; using the projection, contours, extreme points, curve intersections and curve tangent points of the limiting function curve to calculate the corresponding solution of the index function, thereby obtaining the structural parameters of the hollow coil .
  • an air-core coil structure parameter simulation design device including: an impedance function establishment module for establishing an impedance function of the air-core coil according to structural parameter variables, the air-core coil is a differential structure, and the The air-core coil is wound in a completely parallel winding manner; an index function establishment module is used to calculate the equivalent bandwidth, sensitivity and equivalent noise power spectrum by using the impedance function to establish the index function of the air-core coil; the limit function establishment module, It is used to use the mass and/or volume limit to combine the index function and the structural parameter variable limit to construct a limiting function; the structural parameter calculation module is used to calculate the optimal solution of the limiting function to obtain the structural parameters of the hollow coil.
  • the impedance function establishment module includes: an internal impedance calculation unit for calculating the equivalent inductance function, distributed capacitance function, and equivalent internal resistance function of the air-core coil; a matching impedance calculation unit for setting the damping coefficient, and Calculate the impedance function matching the air-core coil; wherein, the equivalent inductance function is:
  • the distributed capacitance function is:
  • Is the turn-to-turn capacitance function Is a function of interlayer capacitance, Is the inter-segment capacitance function
  • ⁇ 0 , ⁇ l , ⁇ a and ⁇ g are the vacuum permittivity, the permittivity of the inter-turn medium, the permittivity of the interlayer medium and the permittivity of the inter-segment medium, respectively
  • N s Is the number of air-core coil segments, e is the distance between air-core coil segments, d w is the distance between the center of the air-core coil wire, and l is the slot width of a single-segment air-core coil;
  • the equivalent internal resistance function is:
  • ⁇ is the resistivity of the wire core
  • damping coefficient and the air-core coil equivalent inductance function satisfy the following matching functions:
  • the damping coefficient can be set to a specific value greater than 1, equal to 1, or less than 1.
  • the damping coefficient is greater than 1, the air-core coil is in an over-damped state; when the damping coefficient is equal to 1, the air-core coil is in a critically damped state
  • the damping coefficient is less than 1, the air-core coil is in an underdamped state; according to the matching function and the set value of the damping coefficient, the matching resistance function is calculated:
  • the index function establishment module is specifically configured to use the impedance function to calculate equivalent bandwidth, sensitivity, and equivalent noise power spectrum, and to establish an equivalent bandwidth relationship function, a sensitivity relationship function, and an equivalent noise power spectrum density relationship function.
  • B w is the equivalent bandwidth function
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function.
  • the sensitivity function is:
  • the transfer function of the single-ended air-core coil is:
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function
  • H A ( ⁇ ) is based on the actual previous The equivalent circuit model of the amplifier is obtained.
  • S c ( ⁇ ) is the sensitivity function of the air-core coil
  • E nr , E ni and Env are respectively the equivalent input resistance thermal noise of the air-core coil sensor
  • the equivalent input offset voltage noise and equivalent input offset current noise can be calculated based on the air-core coil impedance function and the actual preamplifier equivalent circuit model.
  • the structural parameter calculation module is specifically configured to calculate the optimal solution of the limiting function by a numerical method to obtain the structural parameter.
  • the structural parameter calculation module includes: a limited function curve drawing module, configured to calculate and draw a corresponding limited function curve according to the value range of the structural parameter variable, the index function, and the quality and/or volume limit; structure;
  • the parameter calculation module is used to use the particularity of the projection, contour, extreme point, curve intersection and curve tangent point of the defined function curve to calculate the solution corresponding to the index function, thereby obtaining the structure of the hollow coil parameter.
  • a storage medium with a computer program stored on the storage medium, and when the program is executed by a processor, the steps of the method described in any one of the above technical solutions are implemented.
  • an electronic device including a memory, a display, a processor, and a computer program stored on the memory and running on the processor, and when the processor executes the program.
  • the method of the present invention is intuitive, and calculates optimized process structure parameters more simply, reduces the amount of calculation, and saves calculation time.
  • Fig. 1 is a flowchart of a simulation design method for air-core coil structure parameters according to a first embodiment of the present invention
  • FIG. 2 is a schematic diagram of the structure of an air-core coil sensor according to an alternative embodiment of the present invention.
  • FIG. 3 is a schematic diagram of an air-core coil selecting a differential structure according to an alternative embodiment of the present invention, and the air-core coil is wound in a completely parallel winding manner;
  • FIG. 4 is a circuit diagram of impedance matching realized by parallel matching resistors at both ends of the differential output of the air-core coil according to an alternative embodiment of the present invention
  • FIG. 5 is a flowchart of a method for designing process structure parameters of an air-core coil according to an alternative embodiment of the present invention
  • Fig. 6 is a pre-amplification circuit diagram of an air-core coil sensor according to an embodiment of the present invention.
  • Fig. 7 is a diagram of the effective area and bandwidth of an air-core coil sensor according to an embodiment of the present invention, where (a) is the effective area; (b) is the bandwidth when the wire diameter is 0.2mm; (c) is the wire diameter is 0.6 The bandwidth when mm; (d) is the bandwidth when the wire diameter is 0.8mm;
  • FIG. 8 is a design curve diagram of the number of turns and radius of an air-core coil according to an embodiment of the present invention, wherein (a) is an optimized design curve of the number of coil turns; (b) is a design curve of a coil diameter;
  • Fig. 9 is a noise level diagram of an air-core coil sensor according to an embodiment of the present invention.
  • the first aspect of the present invention provides a simulation design method of air-core coil structure parameters, including:
  • the air-core coil has a differential structure, and the air-core coil is wound in a completely parallel winding manner;
  • the optimal solution of the limiting function is calculated to obtain the structural parameters of the air-core coil.
  • the establishment of an impedance function of the air-core coil according to structural parameter variables includes:
  • the internal impedance function includes: an equivalent inductance function, a distributed capacitance function, and an equivalent internal resistance function;
  • the distributed capacitance function is:
  • Is the turn-to-turn capacitance function Is a function of interlayer capacitance, Is the inter-segment capacitance function
  • ⁇ 0 , ⁇ l , ⁇ a and ⁇ g are the vacuum permittivity, the permittivity of the inter-turn medium, the permittivity of the interlayer medium and the permittivity of the inter-segment medium, respectively
  • N s Is the number of air-core coil segments, e is the distance between air-core coil segments, d w is the distance between the center of the air-core coil wire, and l is the slot width of a single-segment air-core coil;
  • the equivalent internal resistance function is:
  • ⁇ is the resistivity of the wire core
  • damping coefficient and the internal impedance function and matching resistance function of the air-core coil satisfy the following damping coefficient:
  • the damping coefficient can be set to a specific value greater than 1, equal to 1, or less than 1.
  • the damping coefficient is greater than 1, the air-core coil is in an over-damped state; when the damping coefficient is equal to 1, the air-core coil is in a critically damped state ; When the damping coefficient is less than 1, the air-core coil is under-damped;
  • the calculating the equivalent bandwidth, sensitivity, and equivalent noise power spectrum of the air-core coil by using the impedance function, and establishing the index function of the air-core coil specifically includes:
  • the equivalent bandwidth, sensitivity, and equivalent noise power spectrum of the air-core coil are calculated by using the impedance function, and an equivalent bandwidth relationship function, a sensitivity relationship function, and an equivalent noise power spectrum density relationship function are established.
  • the equivalent bandwidth function is:
  • B w is the equivalent bandwidth function
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function.
  • the sensitivity function is:
  • the transfer function of the single-ended air-core coil is:
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function
  • the H A ( ⁇ ) is obtained according to the equivalent circuit model of the actual preamplifier.
  • the equivalent noise power spectral density function is:
  • S c ( ⁇ ) is the sensitivity function of the air-core coil
  • E nr , E ni and Env are the equivalent input resistance thermal noise, equivalent input offset voltage noise and equivalent input offset current noise of the air-core coil sensor, respectively, It can be calculated based on the air-core coil impedance function and the actual preamplifier equivalent circuit model.
  • the calculation of the optimal solution of the limiting function to obtain the structural parameters of the air-core coil is specifically:
  • the optimal solution of the limiting function is calculated by a numerical method to obtain the structural parameter.
  • the calculating the optimal solution of the limiting function to obtain the structural parameters of the air-core coil includes:
  • the solution corresponding to the index function is calculated to obtain the structural parameters of the hollow coil.
  • an air-core coil structure parameter simulation design device including:
  • the impedance function establishment module is used to establish the impedance function of the air-core coil according to the structural parameter variables, the air-core coil has a differential structure, and the air-core coil is wound in a completely parallel winding manner;
  • An index function establishment module configured to use the impedance function to calculate equivalent bandwidth, sensitivity, and equivalent noise power spectrum, and establish an index function of the air-core coil;
  • the limiting function establishment module is used to construct a limiting function by using the mass and/or volume and/or size limits and combining the index function and the structural parameter variable limits;
  • the structural parameter calculation module is used to calculate the optimal solution of the limiting function to obtain the structural parameters of the air-core coil.
  • the impedance function establishment module includes:
  • the internal impedance calculation unit is used to calculate the equivalent inductance function, distributed capacitance function and equivalent internal resistance function of the air-core coil;
  • An impedance function calculation unit for setting a damping coefficient and calculating an impedance function matching the air-core coil
  • the distributed capacitance function is:
  • Is the turn-to-turn capacitance function Is a function of interlayer capacitance, Is the inter-segment capacitance function
  • ⁇ 0 , ⁇ l , ⁇ a and ⁇ g are the vacuum permittivity, the permittivity of the inter-turn medium, the permittivity of the interlayer medium and the permittivity of the inter-segment medium, respectively
  • N s Is the number of air-core coil segments, e is the distance between air-core coil segments, d w is the distance between the center of the air-core coil wire, and l is the slot width of a single-segment air-core coil;
  • the equivalent internal resistance function is:
  • ⁇ is the resistivity of the wire core
  • damping coefficient and the air-core coil equivalent inductance function satisfy the following matching functions:
  • the damping coefficient can be set to a specific value greater than 1, equal to 1, or less than 1.
  • the damping coefficient is greater than 1, the air-core coil is in an over-damped state; when the damping coefficient is equal to 1, the air-core coil is in a critically damped state ; When the damping coefficient is less than 1, the air-core coil is under-damped;
  • the index function establishing module is specifically configured to use the impedance function to calculate equivalent bandwidth, sensitivity, and equivalent noise power spectrum, and to establish an equivalent bandwidth relationship function, a sensitivity relationship function, and an equivalent noise power spectrum density relationship function .
  • the equivalent bandwidth function is:
  • B w is the equivalent bandwidth function
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function.
  • the sensitivity function is:
  • the transfer function of the single-ended air-core coil is:
  • L is the equivalent inductance function
  • C is the distributed capacitance function
  • r is the equivalent internal resistance resistance function
  • ⁇ is the damping coefficient
  • R is the matching resistance function
  • the H A ( ⁇ ) is obtained according to the equivalent circuit model of the actual preamplifier.
  • the equivalent noise power spectral density function is:
  • S c ( ⁇ ) is the sensitivity function of the air-core coil
  • E nr , E ni and Env are the equivalent input resistance thermal noise, equivalent input offset voltage noise and equivalent input offset current noise of the air-core coil sensor, respectively, It can be calculated based on the air-core coil impedance function and the actual preamplifier equivalent circuit model.
  • the structural parameter calculation module is specifically configured to calculate the optimal solution of the limit function by a numerical method to obtain the structural parameter.
  • the structural parameter calculation module includes:
  • the limiting function curve drawing module is used to calculate and draw the corresponding limiting function curve according to the value range of the structural parameter variable, the index function and the quality and/or volume limit;
  • the structural parameter calculation module is used to use the particularity of the projection, contour, extreme point, curve intersection point and curve tangent point of the limited function curve to calculate the solution corresponding to the index function, thereby obtaining the hollow coil Structural parameters.
  • a storage medium with a computer program stored on the storage medium, and when the program is executed by a processor, the steps of the method described in any one of the above technical solutions are implemented.
  • an electronic device including a memory, a display, a processor, and a computer program stored on the memory and running on the processor, and when the processor executes the program.
  • the air-core coil sensor consists of two parts: an air-core coil and a preamplifier circuit.
  • the air-core coil in the air-core coil sensor selects a differential structure, and the air-core coil is wound in a completely parallel winding manner.
  • the two ends of the differential output of the air-core coil achieve impedance matching through parallel matching resistors.
  • a simulation design method for air-core coil structure parameters includes the following steps:
  • Step a Design the pre-amplification circuit of the air-core coil sensor, and give the circuit model and transfer function H A ( ⁇ ) of the front-end pre-amplification circuit;
  • Step b clarify the inherent limiting conditions and value ranges of the process parameters of the hollow coil sensor structure
  • Step c Calculate the equivalent internal resistance r, equivalent inductance L, and distributed capacitance C of the coil according to the process structure parameters of the coil, and calculate the matching resistance R for a given damping coefficient;
  • Step d Calculate the transfer function H c of the air-core coil and the equivalent magnetic field sensitivity S c ;
  • Step e Calculate the resonant frequency ⁇ p and the equivalent bandwidth B w of the air-core coil according to the transfer function in step c;
  • Step f calculating the equivalent resistance corresponding to the resistance of all the thermal noise N r hollow coil sensors, all amplifier input equivalent voltage noise equivalent current noise N v and N a, the calculated air-core coil sensor further equivalent input field Noise power spectral density B n ;
  • Step h clarify the function limiting relationship F m and F v between the air-core coil quality M, volume V limiting conditions and the process structure parameters of the air-core coil sensor;
  • Step i According to the sensitivity, bandwidth, and noise design requirements of the air-core coil sensor, combined with the process structure parameter limitation function in step h, establish the air-core coil sensor process structure parameter limiting equation set;
  • Step j Use the numerical method to solve the solution of the air-core coil sensor process structure parameter limitation equation group, and obtain the air-core coil process structure parameter design combination.
  • the equivalent internal resistance calculation formula in step c is:
  • the resonant frequency calculation formula in the step e is:
  • the bandwidth calculation formula is:
  • the air-core coil sensor parameter limitation equation set is solved by a numerical method, and then the process structure parameters of the air-core coil sensor are obtained.
  • the numerical calculation process of the process structure parameter design of the hollow coil sensor includes the following steps:
  • Step 1 Calculate and draw the corresponding function curve according to the calculation formula, value range and limitation conditions described in steps d-h in Figure 5;
  • Step 2 Utilize the particularity of the projection, contour, extreme point, curve intersection and curve tangent point of the curve drawn in step 1, calculate the corresponding solution of the equation set in step i, that is, get the hollow coil sensor process structure parameter.
  • a simulation design method of air-core coil structure parameters includes the following steps:
  • Step a Design the pre-amplification circuit of the air-core coil sensor as shown in Figure 6.
  • the amplifier selects LT1028 and the gain is set to 100 times.
  • the transfer function of the amplifying circuit is calculated as H A ( ⁇ ).
  • R matching resistance
  • R1-R7 magnification adjustment resistor
  • C3, C4 filter capacitor
  • U1 U2 LT1028, U3—LTC6363.
  • Step b clarify the inherent limiting conditions and value ranges of the process parameters of the hollow coil sensor structure.
  • the coil is made of nylon into a single-slot skeleton with a slot width of 20mm and a relative dielectric constant of 2.
  • Enameled wire with a diameter of 0.2mm, 0.6mm or 0.8mm can be used for winding, the thickness of the patent leather is 0.014mm, 0.027mm and 0.03mm, and the relative dielectric constant of the patent leather is 3.4.
  • the inner diameter of the hollow coil is in the range of 0.1 to 2m, and the total number of turns of the coil is in the range of 50 to 200.
  • the air-core coil winding adopts parallel close winding, and no other spacer materials are inserted between the wires.
  • Step c Calculate the equivalent internal resistance r, equivalent inductance L, and distributed capacitance C of the coil according to the values and range of the above coil process structure parameters. Given a damping coefficient of 1, calculate the matching resistance R;
  • Step d Calculate the transfer function and equivalent magnetic field sensitivity function of the air-core coil.
  • This design is for transient electromagnetic detection coils. Therefore, the effective area of the coil is used to represent the equivalent sensitivity of the air-core coil sensor. The calculation result is shown in Figure 7(a);
  • Step e Calculate the resonant frequency ⁇ c of the air-core coil according to the transfer function in step c, and then calculate its equivalent bandwidth B w , the calculation result is shown in Figure 7(bd);
  • Step f Calculate the equivalent internal resistance thermal noise of all resistors in the air-core coil sensor, the equivalent voltage noise and equivalent current noise of all amplifier inputs, and then calculate the equivalent input magnetic field noise power spectral density B n of the air-core coil sensor ;
  • Step h clarify the function limiting relationship F m and F v between the air-core coil mass M and volume V limiting conditions and the process structure parameters of the air-core coil sensor.
  • the coil mass and volume are not limited in this design;
  • Step i According to the sensitivity, bandwidth, and noise design requirements of the air-core coil sensor, establish the air-core coil sensor process structure parameter limiting equation set;
  • Step j Use the numerical method to solve the solution of the air-core coil sensor process structure parameter limitation equation group, and obtain the air-core coil process structure parameter design combination.
  • the intersection of the curves in Figure 5 is used to solve the process structure parameters of the air-core coil sensor.
  • the coil diameter can be designed to be 1.2m, and the number of coil turns is 100 turns.
  • the equivalent input magnetic field noise of the corresponding coil is compared with the simulation calculation and actual measurement results as shown in Figure 9. Shown.
  • the present invention aims to protect an air-core coil structure parameter simulation design method, which includes: establishing an impedance function of the air-core coil according to structural parameter variables, the air-core coil is a differential structure, and the air-core coil is wound in a completely parallel winding manner; Use the impedance function to calculate the equivalent bandwidth, sensitivity, and equivalent noise power spectrum to establish the index function of the air-core coil; use the mass and/or volume limit to construct a limit function in combination with the index function and the structural parameter variable limit; calculate The optimal solution of the limiting function obtains the structural parameters of the air-core coil.
  • the method is intuitive, and calculates optimized process structure parameters more simply, reduces the amount of calculation, and saves calculation time.

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Condensed Matter Physics & Semiconductors (AREA)
  • Theoretical Computer Science (AREA)
  • Power Engineering (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • Coils Or Transformers For Communication (AREA)

Abstract

一种空心线圈结构参数仿真设计方法、装置及电子设备，其中，空心线圈结构参数仿真设计方法，包括：根据结构参数变量，建立空心线圈的阻抗函数（S1），所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；利用所述阻抗函数计算等效带宽（Bw）、灵敏度（Sc）和等效噪声功率谱（Bn），建立所述空心线圈的指标函数（S2）；利用质量和/或体积极限，结合所述指标函数、和结构参数变量极限构建限定函数（S3）；计算所述限定函数的最优解，得到所述空心线圈的结构参数（S4）。该方法直观，并且更简便地计算出优化的工艺结构参数，减少计算量，节省计算时间。

Description

一种空心线圈结构参数仿真设计方法、装置及电子设备 技术领域
本发明涉及电磁探测技术领域，尤其涉及一种空心线圈结构参数仿真设计方法、装置及电子设备。
背景技术
电磁法是一种根据地下介质的导电性和导磁性的不同，利用电磁感应原理和电磁波的传播特性实现地下探测的方法，被广泛应用于矿产资源勘查和工程地质调查等领域。随着电磁探测方法理论的发展，电磁探测技术不断更新，井中、地面、地空、航空电磁探测系统蓬勃发展。磁传感器作为获取磁场信息的媒介，是所有需要观测磁场的电磁探测系统中不可或缺的关键核心。空心线圈磁传感器(Air-coil Sensor，ACS)是其中常用的一种磁传感器，其工作原理是基于电磁感应原理，将通过线圈的磁通量变化转换为感应电动势，进而实现磁场测量。ACS带宽较宽，工作稳定，无磁芯受运动影响小，被广泛应用于地面、地空和航空电磁探测系统中。
现有商用ACS主要是为了匹配特定系统的特定需求而设计的，传感器的普适性和扩展性较差。例如，针对地面瞬变电磁探测系统的不同探测需求，Geonics公司推出了包括Rigid-coil和3D-3在内的一系列不同带宽和有效面积的传感器，但此类ACS并不适用于更高灵敏度需求的地空瞬变电磁探测系统。针对航空电磁探测系统需求，Geotech推出的VTEM和ZTEM系统中的ACS有效面积较大，但同时尺寸大、质量大，因此不适用于地面或地空电磁探测系统。面对现今电磁探测技术不断发展，同时商用电磁探测系统市场竞争日益突出的现状，电磁探测仪器越来越向着多功能化和高效化发展，系统 所需的ACS也向着系列化和高性能化发展。因此，针对不同的探测系统和探测需求，需通过仿真设计出最优的ACS结构和工艺参数来保证传感器的性能指标。
现有的优化设计方法一般针对ACS的带宽、有效面积或噪声水平中的一个或多个指标，仿真设计ACS的直径、匝数和前置增益三者中的某些特定参数。Asaf Grosz在其发表的论文中，在给定频率、线圈体积、节径比、磁芯、骨架介电常数和前置放大电路噪声的条件下，通过解析计算确定了带磁芯的磁棒传感器(Induction Magnetometer，IM)的优化设计参数包括：骨架直径和线圈匝数。闫彬等人则在其他条件类似的情况下，分别针对限定体积、限定质量和给定磁芯的条件下，优化设计IM的骨架直径和线圈匝数。时洪宇在他的博士论文中描述了IM设计中，磁芯材料的选取原则、给定磁芯条件下，分别针对质量和体积限定，给出了IM中空心线圈直径和匝数的优化设计方法。陈曙东等人、陈晨、刘飞等人针对不同的航空瞬变电磁探测系统和需求，仿真设计了适用的ACS。上述优化设计方法不约而同地将线圈参数设计问题转换为求解带约束条件的方程组最优解的问题，并且通过引入拉格朗日算子和最小二乘拟合算法，解析地求解出相应的最优解，即对应线圈参数的最优设计值。
首先，现有ACS仿真设计的方法策略不够完整，指标要求和工艺结构参数之间的关系不够明确，可优化的参数不完善，不能满足探测系统所需ACS的系列化、高性能化发展需求。其次，现有ACS参数优化设计方法均采用拉格朗日算子和最小二乘拟合算法相结合的解析解法求解方程组最优解，进而得到明确的ACS最优化设计参数。该最优解的解析解法，算法复杂、计算时间长，且计算精度易受方程组中可调参数影响。尤其是，当增加约束条件或待优化参数时，该算法的计算复杂度明显提升且计算有效性会明显降低。
发明内容
(一)发明目的
本发明的目的是提供一种空心线圈结构参数仿真设计方法、装置及电子设备以解决现有技术空心线圈结构参数计算复杂、耗时长的问题。
(二)技术方案
为解决上述问题，本发明的第一方面提供了一种空心线圈结构参数仿真设计方法，包括：根据结构参数变量，建立空心线圈的阻抗函数，所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；利用质量和/或体积极限，结合所述指标函数和结构参数变量极限构建限定函数；计算所述限定函数的最优解，得到所述空心线圈的结构参数。
进一步地，所述根据结构参数变量，建立空心线圈的阻抗函数包括：计算空心线圈的内阻抗函数，包括：等效电感函数、分布电容函数和等效内阻函数；设定阻尼系数，并计算匹配所述空心线圈的匹配电阻函数；其中，所述等效电感函数为：
Figure PCTCN2020095300-appb-000001
其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)，D 0为空心线圈骨架的内直径，d为线圈导线的外直径，d c为线圈导线间的层间距，N c为空心线圈导线层数；
所述分布电容函数为：
C＝C l+C a+C g；
其中：
Figure PCTCN2020095300-appb-000002
为匝间电容函数，
Figure PCTCN2020095300-appb-000003
为层间电容函数，
Figure PCTCN2020095300-appb-000004
为段间电容函数；ε 0、ε l、ε a和ε g分别为真空介电常数、匝间介质的介电常数、层间介质的介电常数和段间介质的介电常数，N s为空心线圈段数，e为空心线圈段间距，d w为空心线圈导线圆心距， l为单段空心线圈的槽宽；
所述等效内阻函数为：
Figure PCTCN2020095300-appb-000005
其中，ρ为导线线芯电阻率；
所述阻尼系数与所述内阻抗函数和匹配电阻函数之间满足如下匹配函数：
Figure PCTCN2020095300-appb-000006
且所述阻尼系数可设定为大于1，等于1或小于1的具体数值，阻尼系数大于1时，所述空心线圈为过阻尼状态；阻尼系数等于1时，所述空心线圈为临界阻尼状态；阻尼系数小于1时，所述空心线圈为欠阻尼状态；依据所述阻抗函数和所述阻尼系数设定值，计算所述匹配电阻函数：
Figure PCTCN2020095300-appb-000007
进一步地，所述利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数具体包括：利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立等效带宽关系函数、灵敏度关系函数和等效噪声功率谱密度关系函数。
进一步地，所述等效带宽函数为：
Figure PCTCN2020095300-appb-000008
其中，B w为等效带宽函数；L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数。
进一步地，所述灵敏度函数为：
S c(ω)＝2πfNS|H(ω)|；
其中，H(ω)为空心线圈传感器的传递函数，由单端空心线圈传递函数H c(ω)和前置放大器传递函数H A(ω)的乘积得到，即H(ω)＝2H c(ω)H A(ω)；
所述单端空心线圈传递函数为：
Figure PCTCN2020095300-appb-000009
其中
Figure PCTCN2020095300-appb-000010
为空心线圈谐振频率函数，L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数；所述H A(ω)依据实际前置放大器的等效电路模型得到。
进一步地，所述等效噪声功率谱密度函数为：
Figure PCTCN2020095300-appb-000011
其中，S c(ω)为所述空心线圈灵敏度函数，
Figure PCTCN2020095300-appb-000012
为空心线圈传感器的等效输入电压噪声功率谱密度函数；所述等效输入电压噪声功率谱密度函数中，E nr、E ni和E nv分别为所述空心线圈传感器的等效输入电阻热噪声，等效输入失调电压噪声和等效输入失调电流噪声，可依据空心线圈阻抗函数及实际前置放大器等效电路模型计算得到。
进一步地，所述计算所述限定函数的最优解，得到所述空心线圈的结构参数具体为：通过数值法计算所述限定函数的最优解，得到所述结构参数。
进一步地，所述计算所述限定函数的最优解，得到所述空心线圈的结构参数包括：根据所述结构参数变量的取值范围和指标函数及质量和/或体积极限，计算并绘制相应的限定函数曲线；利用所述限定函数曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出指标函数对应的解，从而得到所述空心线圈的结构参数。
根据本发明的另一方面，提供一种空心线圈结构参数仿真设计装置，包括：阻抗函数建立模块，用于根据结构参数变量，建立空心线圈的阻抗函数， 所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；指标函数建立模块，用于利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；限定函数建立模块，用于利用质量和/或体积极限，结合所述指标函数和结构参数变量极限构建限定函数；结构参数计算模块，用于计算所述限定函数的最优解，得到所述空心线圈的结构参数。
进一步地，所述阻抗函数建立模块包括：内阻抗计算单元，用于计算空心线圈的等效电感函数、分布电容函数和等效内阻函数；匹配阻抗计算单元，用于设定阻尼系数，并计算匹配所述空心线圈的阻抗函数；其中，所述等效电感函数为：
Figure PCTCN2020095300-appb-000013
其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)，D 0为空心线圈骨架的内直径，d为线圈导线的外直径，d c为线圈导线间的层间距，N c为空心线圈导线层数；
所述分布电容函数为：
C＝C l+C a+C g；
其中：
Figure PCTCN2020095300-appb-000014
为匝间电容函数，
Figure PCTCN2020095300-appb-000015
为层间电容函数，
Figure PCTCN2020095300-appb-000016
为段间电容函数；ε 0、ε l、ε a和ε g分别为真空介电常数、匝间介质的介电常数、层间介质的介电常数和段间介质的介电常数，N s为空心线圈段数，e为空心线圈段间距，d w为空心线圈导线圆心距，l为单段空心线圈的槽宽；
所述等效内阻函数为：
Figure PCTCN2020095300-appb-000017
其中，ρ为导线线芯电阻率；
所述阻尼系数与所述空心线圈等效电感函数、分布电容函数、等效内阻函数和匹配电阻函数之间满足如下匹配函数：
Figure PCTCN2020095300-appb-000018
且所述阻尼系数可设定为大于1，等于1或小于1的具体数值，阻尼系数大于1时，所述空心线圈为过阻尼状态；阻尼系数等于1时，所述空心线圈为临界阻尼状态；阻尼系数小于1时，所述空心线圈为欠阻尼状态；依据所述匹配函数和所述阻尼系数设定值，计算所述匹配电阻函数：
Figure PCTCN2020095300-appb-000019
进一步地，所述指标函数建立模块具体用于利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立等效带宽关系函数、灵敏度关系函数和等效噪声功率谱密度关系函数。
进一步地，所述等效带宽函数为：
Figure PCTCN2020095300-appb-000020
其中，B w为等效带宽函数；L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数。
进一步地，所述灵敏度函数为：
S c(ω)＝2πfNS|H(ω)|
其中，H(ω)为空心线圈传感器的传递函数，由单端空心线圈传递函数H c(ω)和前置放大器传递函数H A(ω)的乘积得到，即H(ω)＝2H c(ω)H A(ω)；所述 单端空心线圈传递函数为：
Figure PCTCN2020095300-appb-000021
其中
Figure PCTCN2020095300-appb-000022
为空心线圈谐振频率函数，L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数；所述H A(ω)依据实际前置放大器的等效电路模型得到。
进一步地，所述等效噪声功率谱密度函数为：
Figure PCTCN2020095300-appb-000023
其中，S c(ω)为所述空心线圈灵敏度函数，
Figure PCTCN2020095300-appb-000024
为空心线圈传感器的等效输入电压噪声功率谱密度函数；所述等效输入电压噪声功率谱密度函数中，E nr、E ni和E nv分别为所述空心线圈传感器的等效输入电阻热噪声，等效输入失调电压噪声和等效输入失调电流噪声，可依据空心线圈阻抗函数及实际前置放大器等效电路模型计算得到。
进一步地，所述结构参数计算模块具体用于通过数值法计算所述限定函数的最优解，得到所述结构参数。
进一步地，所述结构参数计算模块包括：限定函数曲线绘制模块，用于根据所述结构参数变量的取值范围和指标函数及质量和/或体积极限，计算并绘制相应的限定函数曲线；结构参数计算模块，用于利用所述限定函数曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出指标函数对应的解，从而得到所述空心线圈的结构参数。
根据本发明的又一方面，提供一种储存介质，所述存储介质上存储有计算机程序，所述程序被处理器执行时实现上述技术方案中任意一项所述方法的步骤。
根据本发明的又一方面，提供一种电子设备，包括存储器、显示器、处 理器及存储在所述存储器上并可在所述处理器上运行的计算机程序，所述处理器执行所述程序时实现上述技术方案中任意一项所述方法的步骤。
(三)有益效果
本发明的上述技术方案具有如下有益的技术效果：
本发明方法直观，并且更简便地计算出优化的工艺结构参数，减少计算量，节省计算时间。
附图说明
图1是根据本发明第一实施方式的空心线圈结构参数仿真设计方法流程图；
图2是根据本发明一可选实施方式的空心线圈传感器结构示意图；
图3是根据本发明一可选实施方式的空心线圈选择差分结构，且空心线圈按完全平行绕线方式进行缠绕示意图；
图4是根据本发明一可选实施方式的空心线圈差分输出的两端通过并联匹配电阻实现阻抗匹配电路图；
图5是根据本发明一可选实施方式的空心线圈工艺结构参数设计方法流程图；
图6是根据本发明一具体实施方式的空心线圈传感器的前置放大电路图；
图7是根据本发明一具体实施方式的空心线圈传感器的有效面积和带宽图，其中(a)为有效面积；(b)为导线直径为0.2mm时的带宽；(c)为导线直径为0.6mm时的带宽；(d)为导线直径为0.8mm时的带宽；
图8是根据本发明一具体实施方式的空心线圈匝数、半径设计曲线图，其中，(a)为线圈匝数优化设计曲线；(b)为线圈直径设计曲线；
图9是根据本发明一具体实施方式的空心线圈传感器噪声水平图。
具体实施方式
为使本发明的目的、技术方案和优点更加清楚明了，下面结合具体实施方式并参照附图，对本发明进一步详细说明。应该理解，这些描述只是示例性的，而并非要限制本发明的范围。此外，在以下说明中，省略了对公知结构和技术的描述，以避免不必要地混淆本发明的概念。
显然，所描述的实施例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。
此外，下面所描述的本发明不同实施方式中所涉及的技术特征只要彼此之间未构成冲突就可以相互结合。
如图1所示，本发明的第一方面提供了一种空心线圈结构参数仿真设计方法，包括：
根据结构参数变量，建立空心线圈的阻抗函数，所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；
利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；
利用质量和/或体积极限，结合所述指标函数和结构参数变量极限构建限定函数；
计算所述限定函数的最优解，得到所述空心线圈的结构参数。
可选的，所述根据结构参数变量，建立空心线圈的阻抗函数包括：
计算空心线圈的内阻抗函数，所述内阻抗函数包括：等效电感函数、分布电容函数和等效内阻函数；
设定阻尼系数，并计算匹配所述空心线圈的匹配电阻函数；
其中，所述等效电感函数为：
Figure PCTCN2020095300-appb-000025
其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)，D 0为空心线圈骨架 的内直径，d为线圈导线的外直径，d c为线圈导线间的层间距，N c为空心线圈导线层数；
所述分布电容函数为：
C＝C l+C a+C g；
其中：
Figure PCTCN2020095300-appb-000026
为匝间电容函数，
Figure PCTCN2020095300-appb-000027
为层间电容函数，
Figure PCTCN2020095300-appb-000028
为段间电容函数；ε 0、ε l、ε a和ε g分别为真空介电常数、匝间介质的介电常数、层间介质的介电常数和段间介质的介电常数，N s为空心线圈段数，e为空心线圈段间距，d w为空心线圈导线圆心距，l为单段空心线圈的槽宽；
所述等效内阻函数为：
Figure PCTCN2020095300-appb-000029
其中，ρ为导线线芯电阻率；
所述阻尼系数与所述空心线圈内阻抗函数和匹配电阻函数之间满足如下阻尼系数：
Figure PCTCN2020095300-appb-000030
且所述阻尼系数可设定为大于1，等于1或小于1的具体数值，阻尼系数大于1时，所述空心线圈为过阻尼状态；阻尼系数等于1时，所述空心线圈为临界阻尼状态；阻尼系数小于1时，所述空心线圈为欠阻尼状态；
依据所述内阻抗函数和所述阻尼系数设定值，计算所述匹配电阻函数：
Figure PCTCN2020095300-appb-000031
可选的，所述利用所述阻抗函数计算所述空心线圈的等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数具体包括：
利用所述阻抗函数计算所述空心线圈的等效带宽、灵敏度和等效噪声功率谱，建立等效带宽关系函数、灵敏度关系函数和等效噪声功率谱密度关系函数。
可选的，所述等效带宽函数为：
Figure PCTCN2020095300-appb-000032
其中，B w为等效带宽函数；L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数。
可选的，所述灵敏度函数为：
S c(ω)＝2πfNS|H(ω)|；
其中，H(ω)为空心线圈传感器的传递函数，由单端空心线圈传递函数H c(ω)和前置放大器传递函数H A(ω)的乘积得到，即H(ω)＝2H c(ω)H A(ω)；
所述单端空心线圈传递函数为：
Figure PCTCN2020095300-appb-000033
其中
Figure PCTCN2020095300-appb-000034
为所述单端空心线圈的谐振频率函数，L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数；
所述H A(ω)依据实际前置放大器的等效电路模型得到。
可选的，所述等效噪声功率谱密度函数为：
Figure PCTCN2020095300-appb-000035
其中，S c(ω)为所述空心线圈灵敏度函数，
Figure PCTCN2020095300-appb-000036
为空心线圈传感器的等效输入电压噪声功率谱密度函数；
所述等效输入电压噪声功率谱密度函数中，E nr、E ni和E nv分别为所述空心线圈传感器的等效输入电阻热噪声，等效输入失调电压噪声和等效输入失调电流噪声，可依据空心线圈阻抗函数及实际前置放大器等效电路模型计算得到。
可选的，所述计算所述限定函数的最优解，得到所述空心线圈的结构参数具体为：
通过数值法计算所述限定函数的最优解，得到所述结构参数。
可选的，所述计算所述限定函数的最优解，得到所述空心线圈的结构参数包括：
根据所述结构参数变量的取值范围和指标函数及质量和/或体积极限，计算并绘制相应的限定函数曲线；
利用所述限定函数曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出指标函数对应的解，从而得到所述空心线圈的结构参数。
根据本发明的另一方面，提供一种空心线圈结构参数仿真设计装置，包括：
阻抗函数建立模块，用于根据结构参数变量，建立空心线圈的阻抗函数，所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；
指标函数建立模块，用于利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；
限定函数建立模块，用于利用质量和/或体积和/或尺寸极限，结合所述指标函数和结构参数变量极限构建限定函数；
结构参数计算模块，用于计算所述限定函数的最优解，得到所述空心线圈的结构参数。
可选的，所述阻抗函数建立模块包括：
内阻抗计算单元，用于计算空心线圈的等效电感函数、分布电容函数和等效内阻函数；
阻抗函数计算单元，用于设定阻尼系数，并计算匹配所述空心线圈的阻 抗函数；
其中，所述等效电感函数为：
Figure PCTCN2020095300-appb-000037
其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)，D 0为空心线圈骨架的内直径，d为线圈导线的外直径，d c为线圈导线间的层间距，N c为空心线圈导线层数；
所述分布电容函数为：
C＝C l+C a+C g；
其中：
Figure PCTCN2020095300-appb-000038
为匝间电容函数，
Figure PCTCN2020095300-appb-000039
为层间电容函数，
Figure PCTCN2020095300-appb-000040
为段间电容函数；ε 0、ε l、ε a和ε g分别为真空介电常数、匝间介质的介电常数、层间介质的介电常数和段间介质的介电常数，N s为空心线圈段数，e为空心线圈段间距，d w为空心线圈导线圆心距，l为单段空心线圈的槽宽；
所述等效内阻函数为：
Figure PCTCN2020095300-appb-000041
其中，ρ为导线线芯电阻率；
所述阻尼系数与所述空心线圈等效电感函数、分布电容函数、等效内阻函数和匹配电阻函数之间满足如下匹配函数：
Figure PCTCN2020095300-appb-000042
且所述阻尼系数可设定为大于1，等于1或小于1的具体数值，阻尼系 数大于1时，所述空心线圈为过阻尼状态；阻尼系数等于1时，所述空心线圈为临界阻尼状态；阻尼系数小于1时，所述空心线圈为欠阻尼状态；
依据所述阻抗函数和所述阻尼系数设定值，计算所述匹配电阻函数：
Figure PCTCN2020095300-appb-000043
可选的，所述指标函数建立模块具体用于利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立等效带宽关系函数、灵敏度关系函数和等效噪声功率谱密度关系函数。
可选的，所述等效带宽函数为：
Figure PCTCN2020095300-appb-000044
其中，B w为等效带宽函数；L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数。
可选的，所述灵敏度函数为：
S c(ω)＝2πfNS|H(ω)|；
其中，H(ω)为空心线圈传感器的传递函数，由单端空心线圈传递函数H c(ω)和前置放大器传递函数H A(ω)的乘积得到，即H(ω)＝2H c(ω)H A(ω)；
所述单端空心线圈传递函数为：
Figure PCTCN2020095300-appb-000045
其中
Figure PCTCN2020095300-appb-000046
为空心线圈谐振频率函数，L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数；
所述H A(ω)依据实际前置放大器的等效电路模型得到。
可选的，所述等效噪声功率谱密度函数为：
Figure PCTCN2020095300-appb-000047
其中，S c(ω)为所述空心线圈灵敏度函数，
Figure PCTCN2020095300-appb-000048
为空心线圈传感器的等效输入电压噪声功率谱密度函数；
所述等效输入电压噪声功率谱密度函数中，E nr、E ni和E nv分别为所述空心线圈传感器的等效输入电阻热噪声，等效输入失调电压噪声和等效输入失调电流噪声，可依据空心线圈阻抗函数及实际前置放大器等效电路模型计算得到。
可选的，所述结构参数计算模块具体用于通过数值法计算所述限定函数的最优解，得到所述结构参数。
可选的，所述结构参数计算模块包括：
限定函数曲线绘制模块，用于根据所述结构参数变量的取值范围和指标函数及质量和/或体积极限，计算并绘制相应的限定函数曲线；
结构参数计算模块，用于利用所述限定函数曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出指标函数对应的解，从而得到所述空心线圈的结构参数。
根据本发明的又一方面，提供一种储存介质，所述存储介质上存储有计算机程序，所述程序被处理器执行时实现上述技术方案中任意一项所述方法的步骤。
根据本发明的又一方面，提供一种电子设备，包括存储器、显示器、处理器及存储在所述存储器上并可在所述处理器上运行的计算机程序，所述处理器执行所述程序时实现上述技术方案中任意一项所述方法的步骤。
如图2所示，所述的空心线圈传感器由空心线圈和前置放大电路两部分组成。
如图3所示，空心线圈传感器中的空心线圈选择差分结构，且空心线圈按完全平行绕线方式进行缠绕。
如图4所示，空心线圈差分输出的两端通过并联匹配电阻实现阻抗匹配。
如图5所示，在本发明一可选实施例中，提供了一种空心线圈结构参数 仿真设计方法，包括以下步骤：
步骤a：设计空心线圈传感器的前置放大电路，给出前置放大前路的电路模型和传递函数H A(ω)；
步骤b：明确空心线圈传感器结构工艺参数固有限定条件和取值范围；
步骤c：依据线圈工艺结构参数分别计算线圈的等效内阻r、等效电感L和分布电容C,给定阻尼系数，计算匹配电阻R；
步骤d：计算空心线圈的传递函数H c和等效磁场灵敏度S c；
步骤e：依据步骤c中的传递函数计算空心线圈的谐振频率ω p和等效带宽B w；
步骤f：计算空心线圈传感器中所有电阻对应的等效内阻热噪声N r，所有放大器输入端的等效电压噪声N v和等效电流噪声N a，进而计算得到空心线圈传感器的等效输入磁场噪声功率谱密度B n；
步骤h：明确空心线圈质量M、体积V限定条件与空心线圈传感器工艺结构参数之间的函数限定关系F m和F v；
步骤i：依据空心线圈传感器的灵敏度、带宽、噪声设计要求，结合步骤h中工艺结构参数限定函数，建立空心线圈传感器工艺结构参数限定方程组；
步骤j：利用数值法求解空心线圈传感器工艺结构参数限定方程组的解，得出空心线圈工艺结构参数设计组合。
所述步骤c中的等效内阻计算公式为：
Figure PCTCN2020095300-appb-000049
等效电感计算公式为：
Figure PCTCN2020095300-appb-000050
其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)，D 0为空心线圈骨架的内直径，d为线圈导线的外直径，d c为线圈导线间的层间距，N c为空心线圈导线层数，分布电容计算公式为C＝C l+C a+C g，
Figure PCTCN2020095300-appb-000051
Figure PCTCN2020095300-appb-000052
其中，ε 0、ε l、ε a和ε g分别为真空介电常数、匝间介质的介电常数、层间介质的介电常数和段间介质的介电常数，N s为空心线圈段数，e为空心线圈段间距，d w＝d+d x-d 0为空心线圈导线的线芯距，l为单段空心线圈的槽宽，阻尼系数计算公式为：
Figure PCTCN2020095300-appb-000053
其中，ρ为导线线芯电阻率，临界阻尼状态的匹配电阻计算公式为：
Figure PCTCN2020095300-appb-000054
所述步骤e中的谐振频率计算公式为：
Figure PCTCN2020095300-appb-000055
带宽计算公式为：
Figure PCTCN2020095300-appb-000056
所述的空心线圈传感器参数限定方程组选用数值法求解，进而得到空心线圈传感器工艺结构参数。
所述步骤j中空心线圈传感器工艺结构参数设计的数值法计算流程包括以下步骤：
步骤1：分别根据附图5中步骤d-h所述的计算公式、取值范围和限定条件，计算并绘制相应的函数曲线；
步骤2：利用步骤1所绘曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出步骤i中方程组对应的解，即得出空心线圈传感器工艺结构参数。
在本发明一具体实施例中，提供了一种空心线圈结构参数仿真设计方法，包括以下步骤：
步骤a：如图6所示设计空心线圈传感器的前置放大电路，放大器选用LT1028，增益设置为100倍。依据电路模型，计算该放大电路的传递函数记为H A(ω)。
R—匹配电阻，R1-R7—放大倍数调节电阻，C3、C4—滤波电容，U1、U2—LT1028，U3—LTC6363。
步骤b：明确空心线圈传感器结构工艺参数固有限定条件和取值范围。线圈选用尼龙制作成单槽骨架，槽宽为20mm，相对介电常数为2。绕线可选用直径为0.2mm、0.6mm或0.8mm的漆包线，漆皮厚度分别为0.014mm、0.027mm和0.03mm，漆皮相对介电常数为3.4。空心线圈内径范围在0.1～2m，线圈总匝数在50～200匝。空心线圈绕线选用平行密绕的方式，线间不插入其他间隔材料。
步骤c：依据以上线圈工艺结构参数取值和取值范围分别计算线圈的等效内阻r、等效电感L和分布电容C,给定阻尼系数为1，计算匹配电阻R；
步骤d：计算空心线圈的传递函数和等效磁场灵敏度函数，本设计针对瞬变电磁探测线圈，因此用线圈有效面积表示空心线圈传感器的等效灵敏度，计算结果如图7(a)所示；
(a)有效面积；(b)导线直径为0.2mm时的带宽；(c)导线直径为0.6mm时的带宽；(d)导线直径为0.8mm时的带宽；
步骤e：依据步骤c中的传递函数计算空心线圈的谐振频率ω c，进而计算其等效带宽B w，计算结果如图7(b-d)所示；
步骤f：计算空心线圈传感器中所有电阻对应的等效内阻热噪声、所有放大器输入端的等效电压噪声和等效电流噪声，进而计算得到空心线圈传感器的等效输入磁场噪声功率谱密度B n；
步骤h：明确空心线圈质量M、体积V限定条件与空心线圈传感器工艺结构参数之间的函数限定关系F m和F v，本设计中不限制线圈的质量和体积；
步骤i：依据空心线圈传感器的灵敏度、带宽、噪声设计要求，建立空心线圈传感器工艺结构参数限定方程组；
步骤j：利用数值法求解空心线圈传感器工艺结构参数限定方程组的解，得出空心线圈工艺结构参数设计组合。
空心线圈选用导线的直径越大，线圈等效带宽越小，为保证线圈的带宽，选用0.2mm的导线。0.2mm导线缠绕的空心线圈，不同直径和匝数对应的有效面积和带宽曲线如图8所示。
(a)线圈匝数优化设计曲线；(b)线圈直径设计曲线。
本设计中利用图5中的曲线交点求解空心线圈传感器工艺结构参数，可设计线圈直径为1.2m，线圈匝数为100匝，对应线圈的等效输入磁场噪声仿真计算和实测结果对比如图9所示。
本发明旨在保护一种空心线圈结构参数仿真设计方法，包括：根据结构参数变量，建立空心线圈的阻抗函数，所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；利用质量和/或体积极限，结合所述指标函数和结构参数变量极限构建限定函数；计算所述限定函数的最优解，得到所述空心线圈的结构参数。该方法直观，并且更简便地计算出优化的工艺结构参数，减少计算量，节省计算时间。
应当理解的是，本发明的上述具体实施方式仅仅用于示例性说明或解释本发明的原理，而不构成对本发明的限制。因此，在不偏离本发明的精神和范围的情况下所做的任何修改、等同替换、改进等，均应包含在本发明的保护范围之内。此外，本发明所附权利要求旨在涵盖落入所附权利要求范围和边界、或者这种范围和边界的等同形式内的全部变化和修改例。

Claims (18)

  1. 一种空心线圈结构参数仿真设计方法，其特征在于，包括：
    根据结构参数变量，建立空心线圈的阻抗函数，所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；
    利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；
    利用质量和/或体积极限，结合所述指标函数和结构参数变量极限构建限定函数；
    计算所述限定函数的最优解，得到所述空心线圈的结构参数。
  2. 根据权利要求1所述的方法，其特征在于，所述根据结构参数变量，建立空心线圈的阻抗函数包括：
    计算空心线圈的内阻抗函数，所述内阻抗函数包括：等效电感函数、分布电容函数和等效内阻函数；
    设定阻尼系数，并计算所述空心线圈的匹配电阻函数；
    其中，所述等效电感函数为：
    Figure PCTCN2020095300-appb-100001
    其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)，D 0为空心线圈骨架的内直径，d为线圈导线的外直径，d c为线圈导线间的层间距，N c为空心线圈导线层数；
    所述分布电容函数为：
    C＝C l+C a+C g；
    其中：
    Figure PCTCN2020095300-appb-100002
    为匝间电容函数，
    Figure PCTCN2020095300-appb-100003
    为层间 电容函数，
    Figure PCTCN2020095300-appb-100004
    为段间电容函数，ε 0、ε l、ε a和ε g分别为真空介电常数、匝间介质的介电常数、层间介质的介电常数和段间介质的介电常数，N s为空心线圈段数，e为空心线圈段间距，d w为空心线圈导线圆心距，l为单段空心线圈的槽宽；
    所述等效内阻函数为：
    Figure PCTCN2020095300-appb-100005
    其中，ρ为导线线芯电阻率；
    所述阻尼系数与所述空心线圈内阻抗函数和匹配电阻函数之间满足如下阻尼系数：
    Figure PCTCN2020095300-appb-100006
    且所述阻尼系数可设定为大于1，等于1或小于1的具体数值，阻尼系数大于1时，所述空心线圈为过阻尼状态；阻尼系数等于1时，所述空心线圈为临界阻尼状态；阻尼系数小于1时，所述空心线圈为欠阻尼状态；
    依据所述内阻抗函数和所述阻尼系数设定值，计算所述匹配电阻函数：
    Figure PCTCN2020095300-appb-100007
  3. 根据权利要求1所述的方法，其特征在于，所述利用所述阻抗函数计算所述空心线圈的等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数具体包括：
    利用所述阻抗函数计算所述空心线圈的等效带宽、灵敏度和等效噪声功率谱，建立等效带宽关系函数、灵敏度关系函数和等效噪声功率谱密度 关系函数。
  4. 根据权利要求3所述的方法，其特征在于，所述等效带宽函数为：
    Figure PCTCN2020095300-appb-100008
    其中，B w为等效带宽函数；L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数。
  5. 根据权利要求3所述的方法，其特征在于，所述灵敏度函数为：
    S c(ω)＝2πfNS|H(ω)|；
    其中，H(ω)为空心线圈传感器的传递函数，由单端空心线圈传递函数H c(ω)和前置放大器传递函数H A(ω)的乘积得到，即H(ω)＝2H c(ω)H A(ω)；
    所述单端空心线圈传递函数为：
    Figure PCTCN2020095300-appb-100009
    其中
    Figure PCTCN2020095300-appb-100010
    为所述单端空心线圈的谐振频率函数，L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数；
    所述H A(ω)依据实际前置放大器的等效电路模型得到。
  6. 根据权利要求3所述的方法，其特征在于，所述等效噪声功率谱密度函数为：
    Figure PCTCN2020095300-appb-100011
    其中，S c(ω)为所述空心线圈灵敏度函数，
    Figure PCTCN2020095300-appb-100012
    为空心线圈传感器的等效输入电压噪声功率谱密度函数；
    所述等效输入电压噪声功率谱密度函数中，E nr、E ni和E nv分别为所述空心线圈传感器的等效输入电阻热噪声，等效输入失调电压噪声和等效 输入失调电流噪声，可依据空心线圈阻抗函数及实际前置放大器等效电路模型计算得到。
  7. 根据权利要求1所述的方法，其特征在于，所述计算所述限定函数的最优解，得到所述空心线圈的结构参数具体为：
    通过数值法计算所述限定函数的最优解，得到所述结构参数。
  8. 根据权利要求1-7任一项所述的方法，其特征在于，所述计算所述限定函数的最优解，得到所述空心线圈的结构参数包括：
    根据所述结构参数变量的取值范围和指标函数及质量和/或体积极限，计算并绘制相应的限定函数曲线；
    利用所述限定函数曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出指标函数对应的解，从而得到所述空心线圈的结构参数。
  9. 一种空心线圈结构参数仿真设计装置，其特征在于，包括：
    阻抗函数建立模块，用于根据结构参数变量，建立空心线圈的阻抗函数，所述空心线圈为差分结构，且该空心线圈按完全平行绕线方式进行缠绕；
    指标函数建立模块，用于利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱，建立所述空心线圈的指标函数；
    限定函数建立模块，用于利用质量和/或体积和/或尺寸极限，结合所述指标函数和结构参数变量极限构建限定函数；
    结构参数计算模块，用于计算所述限定函数的最优解，得到所述空心线圈的结构参数。
  10. 根据权利要求9所述的装置，其特征在于，所述阻抗函数建立模块包括：
    内阻抗计算单元，用于计算空心线圈的等效电感函数、分布电容函数和等效内阻函数；
    匹配阻抗计算单元，用于设定阻尼系数，并计算匹配所述空心线圈的 匹配阻抗；
    其中，所述等效电感函数为：
    Figure PCTCN2020095300-appb-100013
    其中，D为空心线圈的平均直径,D＝(D 0+(d c+d)N c)；
    所述分布电容函数为：
    C＝C l+C a+C g；
    其中：
    Figure PCTCN2020095300-appb-100014
    为匝间电容函数，
    Figure PCTCN2020095300-appb-100015
    为层间电容函数，
    Figure PCTCN2020095300-appb-100016
    为段间电容函数；
    所述等效内阻函数为：
    Figure PCTCN2020095300-appb-100017
    所述阻尼系数与所述空心线圈等效电感函数、分布电容函数、等效内阻函数和匹配电阻函数之间满足如下匹配函数：
    Figure PCTCN2020095300-appb-100018
    且所述阻尼系数可设定为大于1，等于1或小于1的具体数值，阻尼系数大于1时，所述空心线圈为过阻尼状态；阻尼系数等于1时，所述空心线圈为临界阻尼状态；阻尼系数小于1时，所述空心线圈为欠阻尼状态；
    依据所述阻抗函数和所述阻尼系数设定值，计算所述匹配电阻函数：
    Figure PCTCN2020095300-appb-100019
  11. 根据权利要求9所述的装置，其特征在于，所述指标函数建立模块具体用于利用所述阻抗函数计算等效带宽、灵敏度和等效噪声功率谱， 建立等效带宽关系函数、灵敏度关系函数和等效噪声功率谱密度关系函数。
  12. 根据权利要求11所述的装置，其特征在于，所述等效带宽函数为：
    Figure PCTCN2020095300-appb-100020
    其中，B w为等效带宽函数；L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数。
  13. 根据权利要求11所述的装置，其特征在于，所述灵敏度函数为：
    S c(ω)＝2πfNS|H(ω)|；
    其中，H(ω)为空心线圈传感器的传递函数，由单端空心线圈传递函数H c(ω)和前置放大器传递函数H A(ω)的乘积得到，即H(ω)＝2H c(ω)□H A(ω)；
    所述单端空心线圈传递函数为：
    Figure PCTCN2020095300-appb-100021
    其中
    Figure PCTCN2020095300-appb-100022
    为空心线圈谐振频率函数，L为等效电感函数；C为分布电容函数，r为等效内阻电阻函数；ζ为阻尼系数；R为匹配电阻函数；
    所述H A(ω)依据实际前置放大器的等效电路模型得到。
  14. 根据权利要求11所述的装置，其特征在于，所述等效噪声功率谱密度函数为：
    Figure PCTCN2020095300-appb-100023
    其中，S c(ω)为所述空心线圈灵敏度函数，
    Figure PCTCN2020095300-appb-100024
    为空心线圈传感器的等效输入电压噪声功率谱密度函数；
    所述等效输入电压噪声功率谱密度函数中，E nr、E ni和E nv分别为所述空心线圈传感器的等效输入电阻热噪声，等效输入失调电压噪声和等效 输入失调电流噪声，可依据空心线圈阻抗函数及实际前置放大器等效电路模型计算得到。
  15. 根据权利要求9所述的装置，其特征在于，所述结构参数计算模块具体用于通过数值法计算所述限定函数的最优解，得到所述结构参数。
  16. 根据权利要求9-15任一项所述的装置，其特征在于，所述结构参数计算模块包括：
    限定函数曲线绘制模块，用于根据所述结构参数变量的取值范围和指标函数及质量和/或体积极限，计算并绘制相应的限定函数曲线；
    结构参数计算模块，用于利用所述限定函数曲线的投影、等值线、极值点、曲线交点和曲线切点的特殊性，计算得出指标函数对应的解，从而得到所述空心线圈的结构参数。
  17. 一种储存介质，其特征在于，所述存储介质上存储有计算机程序，所述程序被处理器执行时实现权利要求1-8中任意一项所述方法的步骤。
  18. 一种电子设备，其特征在于，包括存储器、显示器、处理器及存储在所述存储器上并可在所述处理器上运行的计算机程序，所述处理器执行所述程序时实现权利要求1-8中任意一项所述方法的步骤。
PCT/CN2020/095300 2020-04-13 2020-06-10 一种空心线圈结构参数仿真设计方法、装置及电子设备 WO2021208219A1 (zh)

Priority Applications (1)

Application Number Priority Date Filing Date Title
US17/485,106 US20220011350A1 (en) 2020-04-13 2021-09-24 Method and apparatus for simulating and designing structure parameters of air-core coil and electronic device

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN202010286746.9A CN111428380B (zh) 2020-04-13 2020-04-13 一种空心线圈结构参数仿真设计方法、装置及电子设备
CN202010286746.9 2020-04-13

Related Child Applications (1)

Application Number Title Priority Date Filing Date
US17/485,106 Continuation US20220011350A1 (en) 2020-04-13 2021-09-24 Method and apparatus for simulating and designing structure parameters of air-core coil and electronic device

Publications (1)

Publication Number Publication Date
WO2021208219A1 true WO2021208219A1 (zh) 2021-10-21

Family

ID=71557883

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/CN2020/095300 WO2021208219A1 (zh) 2020-04-13 2020-06-10 一种空心线圈结构参数仿真设计方法、装置及电子设备

Country Status (3)

Country Link
US (1) US20220011350A1 (zh)
CN (1) CN111428380B (zh)
WO (1) WO2021208219A1 (zh)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115618780B (zh) * 2022-10-08 2023-05-12 哈尔滨理工大学 一种无环流空心电抗器的设计方法和无环流空心电抗器

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100268514A1 (en) * 2009-04-20 2010-10-21 Albert-Ludwigs-Universitat Design of MRI gradient coil
CN103208866A (zh) * 2013-04-23 2013-07-17 中国科学院电工研究所 一种无线电力传输装置的设计方法
CN108710774A (zh) * 2018-06-20 2018-10-26 华中科技大学 一种电流传感器频率特性建模方法
CN110826255A (zh) * 2019-12-02 2020-02-21 国网河北省电力有限公司电力科学研究院 一种电力装备中绕组线圈部件的建模方法

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CA3089764A1 (en) * 2019-08-12 2021-02-12 Synaptive Medical (Barbados) Inc. System and method of coil design to reduce magnetic coupling

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100268514A1 (en) * 2009-04-20 2010-10-21 Albert-Ludwigs-Universitat Design of MRI gradient coil
CN103208866A (zh) * 2013-04-23 2013-07-17 中国科学院电工研究所 一种无线电力传输装置的设计方法
CN108710774A (zh) * 2018-06-20 2018-10-26 华中科技大学 一种电流传感器频率特性建模方法
CN110826255A (zh) * 2019-12-02 2020-02-21 国网河北省电力有限公司电力科学研究院 一种电力装备中绕组线圈部件的建模方法

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
LIU CHANGSHENG, LIU TENG REN TONGYANG KANG LILI ZHOU HAIGEN: "Optimization and design of air-core coil sensor for ground-airborne frequency-domain electromagnetic detection", YIQI YIBIAO XUEBAO - CHINESE JOURNAL OF SCIENTIFIC INSTRUMENT, ZHONGGUO YIQI YIBIAO XUEHUI, BEIJING, CN, vol. 40, no. 2, 15 February 2019 (2019-02-15), CN , pages 140 - 147, XP055858027, ISSN: 0254-3087, DOI: 10.19650/j.cnki.cjsi.J1804403 *
LIU TENG: "Research on Air-core Coil Magnetic Sensor Technology for Ground-airborne Frequency-domain Electromagnetic Method", CHINESE MASTER'S THESES FULL-TEXT DATABASE, TIANJIN POLYTECHNIC UNIVERSITY, CN, 15 November 2019 (2019-11-15), CN , XP055858021, ISSN: 1674-0246 *

Also Published As

Publication number Publication date
CN111428380A (zh) 2020-07-17
US20220011350A1 (en) 2022-01-13
CN111428380B (zh) 2021-01-08

Similar Documents

Publication Publication Date Title
US10746894B2 (en) Magnetotelluric measurement system
US9678180B2 (en) Coaxial cable magnetic resonance image (MRI) coil
CN103472409B (zh) 感应式三轴磁场传感器
CN104167828B (zh) 一种多中继器磁耦合谐振式无线功率传输系统的设计方法
Coillot et al. Induction magnetometers principle, modeling and ways of improvement
CN109209363B (zh) 过套管地层微分电阻率测井探头结构
WO2021208219A1 (zh) 一种空心线圈结构参数仿真设计方法、装置及电子设备
CA2450837A1 (en) Induction magnetometer
CN101794329A (zh) 一种计算磁共振成像rf线圈信噪比的方法
Shi et al. Optimal design of low-noise induction magnetometer in 1 mHz–10 kHz utilizing paralleled dual-JFET differential pre-amplifier
Silva et al. Operating frequency selection for low-power magnetic induction-based wireless underground sensor networks
Bolton et al. Optimal design of electrically-small loop receiving antenna
CN106990372A (zh) 一种核磁共振射频天线电路及其阻抗匹配方法
CN110068871B (zh) 一种车载时域电磁感应-极化效应的微型测量系统及方法
CN105182256B (zh) 大电流、小功率的磁场信号差分采集装置
Tal et al. Design optimization of transmitting antennas for weakly coupled magnetic induction communication systems
Sogade et al. Electromagnetic cave-to-surface mapping system
CN113341471B (zh) 一种宽幅电磁感应测井方法、装置、存储介质及电子设备
Yan et al. Design of induction magnetometer receiving sensor for through-the-earth communications
CN102854479B (zh) 一种新型谐振巨磁阻抗效应磁敏感器件
CN109100577A (zh) 一种远距离雷电探测系统及方法
Li et al. Parameter optimization for the induction magnetometer of 10 kHz to 100 kHz
CN117647844A (zh) 一种电磁三分量线圈装置及地空电磁数据获取方法
CN106324533A (zh) 长方体结构三轴感应式磁场传感器
CN117335154B (zh) 电磁波天线多频谐振装置和方法

Legal Events

Date Code Title Description
121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 20931158

Country of ref document: EP

Kind code of ref document: A1

NENP Non-entry into the national phase

Ref country code: DE

122 Ep: pct application non-entry in european phase

Ref document number: 20931158

Country of ref document: EP

Kind code of ref document: A1