CN112784327A - Design method of induction coil applied to electromagnetic exploration system - Google Patents
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Abstract
The invention discloses a design method of an induction coil applied to an electromagnetic exploration system, which comprises the following steps: s1, presetting a framework model and structural parameters of the electromagnetic coil according to the index requirements of the electromagnetic exploration system; s2, respectively calculating partial capacitance between adjacent turns on the same layer in the same segment, partial capacitance between adjacent turns on different layers in the same segment and partial capacitance between adjacent turns on the segment based on the electromagnetic coil skeleton model and the structural parameters; s3, obtaining the sum of the stored electric energy of each part of the electromagnetic induction coil according to the law of conservation of energy, and obtaining the integral equivalent capacitance value of the electromagnetic coil; and S4, verifying whether the performance of the induction coil reaches the standard. The design method of the induction coil applied to the electromagnetic exploration system, provided by the invention, is based on a multi-section coil model, and is used for obtaining mathematical analysis models of coils with fixed sections, variable sections and different winding modes through equivalent circuits and unitized analysis.
Description
Technical Field
The invention relates to the technical field of induction coil design, in particular to a design method of an induction coil applied to an electromagnetic exploration system.
Background
The traditional induction coil design basis is that the transfer function and the frequency response of the induction coil are analyzed by utilizing the equivalent RLC resonance characteristics of the induction coil. However, in practical electromagnetic exploration system applications, in order to increase the detection range, the induction coil needs to have a broadband operation characteristic, which needs to reduce the capacitance value of the coil structure as low as possible. According to the analysis method of the circuit parameters, the capacitance value can be effectively reduced by the series connection mode of the capacitance elements. Therefore, in order to increase the operating bandwidth of the coil, a segmented structure is often adopted, so that the coil capacitors form a series arrangement. However, in the search of existing coil models, no complete analysis and study was given to the segmented coil models.
In practical electromagnetic exploration system applications, in order to enlarge the deep detection range, the induction coil needs to have broadband operating characteristics, so that the capacitance value of the coil structure needs to be reduced as much as possible. According to the analysis method of the circuit parameters, the capacitance value can be effectively reduced by the series connection mode of the capacitance elements. Therefore, in order to increase the operating bandwidth of the coil, a segmented structure is often adopted, so that the coil capacitors form a series arrangement. In the existing coil model, a mathematical analysis model of a fixed layer number, a variable layer number and coils in different winding modes is provided through equivalent circuit and unitized analysis, but the complete calculation process, performance analysis and parameter evaluation of the actual coils with multi-section structures are lacked. In order to determine the intrinsic relationship of the physical parameters of the coil, the analytical model of the coil design needs to be further improved for analysis and calculation.
Disclosure of Invention
The invention aims to provide a design method of an induction coil applied to an electromagnetic exploration system, which is based on a multi-segment coil model, obtains mathematical analysis models of fixed segment numbers, variable segment numbers and coils with different winding modes through equivalent circuit and unitized analysis, can better evaluate characteristic parameters through the models, and is convenient for the design and production of the coils.
In order to achieve the purpose, the invention provides the following scheme:
a method of designing an induction coil for use in an electromagnetic survey system, the method comprising the steps of:
s1, presetting a framework model and structural parameters of the electromagnetic coil according to the index requirements of the electromagnetic exploration system;
s2, respectively calculating partial capacitance between adjacent turns on the same layer in the same segment, partial capacitance between adjacent turns on different layers in the same segment and partial capacitance between adjacent turns on the segment based on the electromagnetic coil skeleton model and the structural parameters;
s3, obtaining the sum of the stored electric energy of each part of the electromagnetic induction coil according to the law of conservation of energy, and obtaining the integral equivalent capacitance value of the electromagnetic coil;
and S4, verifying whether the performance of the induction coil reaches the standard.
Further, in step S1, according to the index requirement of the electromagnetic surveying system, presetting a skeleton model and structural parameters of the electromagnetic coil, specifically including:
the coil skeleton model is designed into a hollow cylindrical skeleton, the side wall of the hollow cylindrical skeleton is provided with a ring-shaped multi-section groove structure, a plurality of turns of wire are wound in the groove structure, the winding coil adopts a close sequential layer winding mode, the inner diameter of the hollow cylindrical skeleton is D, the height of the skeleton is H, the section interval of the groove structure is D, and the outer diameter of the wire and the bare diameter of the wire core are D respectively1、d0For convenience of modeling analysis, assuming that the arrangement of turns in each segment is the same, the number of winding turns in each layer is N0Turns of, wound together by N1And (3) a layer.
Further, in step S2, based on the electromagnetic coil skeleton model and the structural parameters, respectively calculating a partial capacitance between adjacent turns in the same layer, and a partial capacitance between adjacent turns in the same layer, specifically including:
s201, calculating partial capacitance between adjacent turns on the same layer in the same segment:
the section is seen as a cylindrical capacitor structure formed by two ring surfaces, and the cylindrical capacitance infinitesimal is shown as formula (1):
wherein d is1Indicates the outer diameter of the wire, d0Indicates the bare diameter of the core, epsilon0Denotes the vacuum dielectric constant,. epsilonrDenotes the relative dielectric constant of the insulating layer of the conductor0Representing the average length of each coil of the winding coil, and theta represents the opening angle of a turn-to-turn capacitance calculation path and a turn-to-turn connecting line;
setting the integral area theta as [ -theta ] according to the difference of the distribution space proportion of the inner and outer diameter electric fields of different turnst,θt]. Wherein the content of the first and second substances,
s202, calculating partial capacitance between adjacent turns between different layers in the same segment:
compared with the structure of the distributed capacitors in the layer, the structure size of the turns of the part of the vertically adjacent turns between layers is the same as that of the vertically adjacent turns in the layer, so the capacitance C of the vertically adjacent turns between layers is knownl1The intra-layer computation results, i.e.,
Cl1＝Ct (3)
the diagonal path width of the corresponding region of the air gap is set as h, and the adjacent turn line capacitance C of the interlayer oblique anglel2The calculation formula is as follows:
according to the geometrical relation, an integral channel formed by integral opening angles at the turn line boundary is selected, the span of the integral channel does not exceed the air gap between the turn line pair in the diagonal direction, and therefore the integral area theta is [ -theta [ theta ] ]l,θl]The integral limit calculation formula is as follows:
s203, calculating partial capacitance between adjacent turns between segments:
for the turn line at the edge of each coil section, a capacitance effect is formed between the turn line at the edge which is not shielded in the next coil section adjacent to the turn line, and based on two five-layer winding coils, the turn-to-turn equivalent capacitance C of the five-layer winding coilssExpressed as matrix relation (6):
in the formula, CmnThe subscript m of the equivalent partial capacitance between the sections represents the number of a left turn line layer, and the subscript n represents the number of a right turn line layer;
the adjacent capacitors in the same layer in the reference section are analyzed, and the difference lies in that the turn distance is enlarged, its space angle is still divided according to uniform symmetrical structure, and the integral field angle limit value is selected as [ -theta ]t,θt]Thereby obtaining equivalent partial capacitance C of the same subscriptsmmIs calculated by the formula (7):
wherein epsilonrsDenotes the relative dielectric constant, l, of the coil former dielectric material at the turn intervalmRepresenting the perimeter of the corresponding layer turn line;
the equivalent capacitance between the turns of the insulating layer between turns and the equivalent capacitance between the air gaps are combined to obtain the equivalent capacitance C between turns with different subscripts between the sectionssmnCalculation formula (8):
wherein lmAnd lnRespectively, the respective winding circumferences l of the two turns of wire between the corresponding segmentsminCorresponding to the minimum of the two turns of the wire, dd is the perpendicular connecting line distance of the two turns of the wireThe value of which is determined by the coil segment spacing and the inter-turn wire elevation;
the inter-segment path is approximately regarded as an equal-width channel with the width being the radius of a turn line, the angle from the center of the turn line to the edge of the path is the limit value of the integral angle, and the integral limit calculation relation can be obtained:
further, in step S3, the sum of the stored electric energy of each part of the electromagnetic induction coil is obtained according to the law of conservation of energy, so as to obtain the overall equivalent capacitance value of the electromagnetic coil, which specifically includes:
setting the average voltage per coil turn to U0From this, it can be seen that the average distribution voltage per layer is N0U0The distribution voltage of each segment is N0N1U0Adjacent inter-turn voltages U in the same layertFor adjacent inter-turn voltages U between different layerslDivided into vertically adjacent turn line voltages Ul1And the voltage U of the adjacent turn line at the oblique anglel2In two cases, the adjacent turn-to-turn voltage U between the segments is obtained by calculating the number of corresponding turns of two adjacent segmentss；
According to the law of conservation of energy, the total electric energy of the electromagnetic induction coil is the sum of the electric energy stored in each part of the system, the total electric energy stored value can be obtained through the calculation of the equivalent capacitance and the voltage of each part, and then the integral equivalent capacitance value C of the coil is obtained:
wherein N issIs the number of coil segments, NdThe number is calculated for the intersegment bevel capacitance.
Further, in the step S4, it is verified whether the performance of the induction coil meets the standard, if so, the induction coil is processed, produced and tested, and if not, the steps S1-S4 are repeated.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects: the invention provides a design method of an induction coil applied to an electromagnetic exploration system, which provides an analytical model of a multi-segment coil, and structural parameters of the multi-segment coil can be conveniently calculated and analyzed through the analytical model, so that the design method of the induction coil applied to the electromagnetic exploration system is summarized; finally, an optimized induction coil is manufactured and tested; the method is simple and effective, is convenient for flexibly controlling the equivalent capacitance parameters of the coil, so that the designed induction coil has good frequency domain response characteristics, can better evaluate the characteristic parameters through the model, is convenient for the design and production of the coil, and has wide application value in the detection aspects of deep metal mineral resources, oil and gas resources, geothermal resources, hydrogeology, volcanic geology and the like.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a flow chart of a method of designing an induction coil for use in an electromagnetic survey system according to an embodiment of the invention;
FIG. 2(a) is a perspective view of a hollow cylindrical skeleton structure according to an embodiment of the present invention;
FIG. 2(b) is a longitudinal sectional view of a coil of an embodiment of the present invention cut along an axis;
FIG. 3 is an enlarged view of the coil slot interior region of an embodiment of the present invention;
FIG. 4 is a schematic diagram of a double layer four wire cross section of an embodiment of the present invention;
FIG. 5 is a diagram illustrating a structure of a capacitor network between coil segments according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of an equivalent capacitance curve of a coil at different pitches according to an embodiment of the present invention;
FIG. 7 is a diagram illustrating equivalent capacitance curves of coils with different section material parameters according to an embodiment of the present invention.
FIG. 8 is a comparison graph of coil energy storage for different intersegment material parameters in accordance with an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention aims to provide a design method of an induction coil applied to an electromagnetic exploration system, which is based on a multi-segment coil model, obtains mathematical analysis models of fixed segment numbers, variable segment numbers and coils with different winding modes through equivalent circuit and unitized analysis, can better evaluate characteristic parameters through the models, and is convenient for the design and production of the coils.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Fig. 1 is a flowchart of a method for designing an induction coil used in an electromagnetic surveying system according to an embodiment of the present invention, and as shown in fig. 1, the method for designing an induction coil used in an electromagnetic surveying system according to an embodiment of the present invention includes the following steps:
s1, presetting a framework model and structural parameters of the electromagnetic coil according to the index requirements of the electromagnetic exploration system;
as shown in fig. 2(a) to 2(b), the coil frame model is designed as a hollow cylindrical frame, the side wall of the hollow cylindrical frame is provided with a ring-shaped multi-section groove structure, multiple turns are wound in the groove structure, the wound coils are wound in a close sequential layer winding manner, the inner diameter of the hollow cylindrical frame is D, the height of the frame is H, and the section spacing of the groove structure is D;
the structure in the winding groove of the framework is drawn in an enlarged way, as shown in figure 3, d1、d0Respectively the outer diameter of the wire and the bare diameter of the wire coreModeling analysis is carried out, and the arrangement of inner turns of each segment is assumed to be the same, and the number of winding turns of each layer is N0Turns of, wound together by N1The layer, the number of the first, second and third areas in the figure is respectively corresponding to the classification conditions of three parts of capacitance in the layer, between the layers and between the sections;
s2, respectively calculating partial capacitance between adjacent turns on the same layer in the same segment, partial capacitance between adjacent turns on different layers in the same segment and partial capacitance between adjacent turns on the segment based on the electromagnetic coil skeleton model and the structural parameters; the method specifically comprises the following steps:
s201, calculating partial capacitance between adjacent turns on the same layer in the same segment:
the section is seen as a cylindrical capacitor structure formed by two ring surfaces, and the cylindrical capacitance infinitesimal is shown as formula (1):
wherein d is1Indicates the outer diameter of the wire, d0Indicates the bare diameter of the core, epsilon0Denotes the vacuum dielectric constant,. epsilonrDenotes the relative dielectric constant of the insulating layer of the conductor0Representing the average length of each coil of the winding coil, and theta represents the opening angle of a turn-to-turn capacitance calculation path and a turn-to-turn connecting line;
setting the integral area theta as [ -theta ] according to the difference of the distribution space proportion of the inner and outer diameter electric fields of different turnst,θt]. Wherein the content of the first and second substances,
s202, calculating partial capacitance between adjacent turns between different layers in the same segment: the cross-sectional structure of the adjacent turns between layers is shown in FIG. 4, and compared with the structure of the distributed capacitors in the layers, the structure size of the turns of the vertically adjacent turns is the same as that of the vertically adjacent turns in the layers, so that the capacitors C of the vertically adjacent turns between layersl1The intra-layer computation results may be followed. That is to say that the first and second electrodes,
Cl1＝Ct (3)
when the capacitance of adjacent turns of the inter-layer oblique angle is calculated, the boundary property of electromagnetic waves is considered, if an electric field enters an insulating layer from an air medium in an air region, because the field quantity enters an optically denser medium from an optically thinner medium, the physical quantity is far away from a diagonal path and does not contribute to the inter-turn capacitance effect, therefore, the width of the diagonal path is set as h, namely, only the region corresponding to an air gap is required to be calculated;
the interlayer oblique angle adjacent turn line capacitance C can be obtainedl2Calculation formula (4):
according to the geometric relationship, an integral channel formed by integral opening angles at the turn line boundary is selected, the span of the integral channel does not exceed the air gap between the turn line pair in the diagonal direction, and therefore an integral limit calculation formula of an integral variable theta is obtained:
s203, calculating partial capacitance between adjacent turns between segments:
for the turns at the edge of each coil, a capacitance effect is formed between the turns and the unshielded edge turns in the next coil adjacent to the edge turns, and as shown in the network connection relationship of fig. 5, based on two five-layer winding coils, the inter-turn equivalent capacitance C of the five-layer winding coilssExpressed as matrix relation (6):
in the formula, CmnThe subscript m of the equivalent partial capacitance between the sections represents the number of a left turn line layer, and the subscript n represents the number of a right turn line layer;
taking two sections of five-layer winding coils as an example, the value of m is 1-5, the value of n is 1-5, and the turn-to-turn equivalent capacitance C issExpressed as:
the adjacent capacitors in the same layer in the reference section are analyzed, and the difference lies in that the turn distance is enlarged, its space angle is still divided according to uniform symmetrical structure, and the integral field angle limit value is selected as [ -theta ]t,θt]Thereby obtaining equivalent partial capacitance C of the same subscriptsmmIs calculated by the formula (7):
wherein epsilonrsDenotes the relative dielectric constant, l, of the coil former dielectric material at the turn intervalmRepresenting the perimeter of the corresponding layer turn line;
the equivalent capacitance between the turns of the insulating layer between turns and the equivalent capacitance between the air gaps are combined to obtain the equivalent capacitance C between turns with different subscripts between the sectionssmnCalculation formula (8):
wherein lmAnd lnRespectively, the respective winding circumferences l of the two turns of wire between the corresponding segmentsminCorresponding to the minimum value of the circumferences of the two turns of lines, dd is the vertical connecting line distance of the two turns of lines, and the value of dd is determined by the coil section spacing and the inter-turn connecting line elevation angle;
the inter-segment path is approximately regarded as an equal-width channel with the width being the radius of a turn line, the angle from the center of the turn line to the edge of the path is the limit value of the integral angle, and the integral limit calculation relation can be obtained:
s3, obtaining the sum of the stored electric energy of each part of the electromagnetic induction coil according to the law of conservation of energy, and obtaining the integral equivalent capacitance value of the electromagnetic coil;
the method specifically comprises the following steps:
setting the average voltage per coil turn to U0From this, it can be seen that the average distribution voltage per layer is N0U0The distribution voltage of each segment is N0N1U0Adjacent inter-turn voltages U in the same layertFor adjacent inter-turn voltages U between different layerslDivided into vertically adjacent turn line voltages Ul1And the voltage U of the adjacent turn line at the oblique anglel2In two cases, the adjacent turn-to-turn voltage U between the segments is obtained by calculating the number of corresponding turns of two adjacent segmentss；
According to the law of conservation of energy, the total electric energy of the electromagnetic induction coil is the sum of the electric energy stored in each part of the system, the total electric energy stored value can be obtained through the calculation of the equivalent capacitance and the voltage of each part, and then the integral equivalent capacitance value C of the coil is obtained:
wherein N issIs the number of coil segments, NdThe number of the segments is calculated for the oblique angle capacitance,
and S4, verifying whether the performance of the induction coil reaches the standard, if so, processing, producing and testing, and if not, repeating the steps S1-S4.
In order to comprehensively evaluate whether the design method of the induction coil provided by the invention is effective, two coil frameworks with different section structural parameters are designed and manufactured as examples, the winding and performance measurement of the coil are carried out, and an operation program of a model is compiled through software for comparison with the performance of the model.
Firstly, according to the requirements of a fixed wing aerial electromagnetic detection system, various parameters of an induction coil are set through the technical indexes of the system pod size, the effective area of a sensor, the bandwidth, the noise and the like.
The coil framework is designed into a circular multi-section groove structure, so that the electromagnetic induction coil has stronger signal sensitivity, and the receiving equivalent area requirement of the coil is larger than that of the coil40m2. The two constructed structural coils are respectively in the form of 4-segment and 6-segment groove structures. The outer diameter of the coil turns is 0.2mm, and the bare diameter is 0.1 mm. The inner diameter of the framework of the 4-section coil structure is 214mm, the width of each section of groove is 3mm, the section interval is 2mm, each section of winding 303 circles are wound for 1212 circles in total, and the equivalent receiving area is 44.4m2. The inner diameter of the 6-section coil structure framework is 214mm, the width of each section of groove is 2mm, the section distance is 2mm, each section is wound by 202 circles, the total number of the sections is 1212, and the equivalent receiving area is 44.4m2。
And secondly, processing and producing the coil material object.
And thirdly, sweep frequency measurement data by using a circuit parameter RLC measuring instrument and a signal generator are shown in a table 1.
TABLE 12 mm section spacing coil actual measurement parameter table
Fourthly, according to the coil structure design method, the capacitance of the 4-segment coil is calculated to be 149.1pF, the relative error with the test data is 16.76%, the capacitance of the 6-segment coil is 106.9pF, and the relative error with the test data is 5.74%. Compared with the measured data, the calculated values show good consistency, so that the accuracy and the effectiveness of the method are verified.
Fifthly, according to the coil structure design method, an operation program of the model is compiled through software. In order to reduce the equivalent capacitance value of the coil, the two parameters of the section spacing and the relative dielectric constant of the materials between the sections are subjected to program scanning analysis. Fig. 6 and 7 are graphs plotting the change of the coil capacitance with the section spacing and the dielectric constant between the sections, and fig. 8 is a graph plotting the change of the coil energy storage with the dielectric constant between the sections. The capacitance parameter shows a remarkable descending trend along with the increase of the segment distance and the reduction of the dielectric constant, and the energy storage shows a remarkable ascending trend along with the increase of the dielectric constant. Therefore, the performance of the coil structure can be conveniently designed and improved by using the design method.
The invention provides a design method of an induction coil applied to an electromagnetic exploration system, which provides an analytical model of a multi-segment coil, and structural parameters of the multi-segment coil can be conveniently calculated and analyzed through the analytical model, so that the design method of the induction coil applied to the electromagnetic exploration system is summarized; finally, an optimized induction coil is manufactured and tested; the method is simple and effective, is convenient for flexibly controlling the equivalent capacitance parameters of the coil, so that the designed induction coil has good frequency domain response characteristics, can better evaluate the characteristic parameters through the model, is convenient for the design and production of the coil, and has wide application value in the detection aspects of deep metal mineral resources, oil and gas resources, geothermal resources, hydrogeology, volcanic geology and the like.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.
Claims (5)
1. A method for designing an induction coil applied to an electromagnetic exploration system is characterized by comprising the following steps:
s1, presetting a framework model and structural parameters of the electromagnetic coil according to the index requirements of the electromagnetic exploration system;
s2, respectively calculating partial capacitance between adjacent turns on the same layer in the same segment, partial capacitance between adjacent turns on different layers in the same segment and partial capacitance between adjacent turns on the segment based on the electromagnetic coil skeleton model and the structural parameters;
s3, obtaining the sum of the stored electric energy of each part of the electromagnetic induction coil according to the law of conservation of energy, and obtaining the integral equivalent capacitance value of the electromagnetic coil;
and S4, verifying whether the performance of the induction coil reaches the standard.
2. The method for designing an induction coil used in an electromagnetic survey system as claimed in claim 1, wherein the step S1 includes the steps of presetting a skeleton model and structural parameters of the electromagnetic coil according to the index requirements of the electromagnetic survey system, specifically including:
the coil framework model is designed into a hollow cylindrical framework, the side wall of the hollow cylindrical framework is provided with a circular multi-section groove structure, multiple turns of wire are wound in the groove structure, the wound coils are wound in a close sequential layer winding mode, the inner diameter of the hollow cylindrical framework is D, the height of the framework is H, and the section spacing of the groove structure is D; the outer diameter of the lead and the bare diameter of the core are respectively d1、d0For convenience of modeling analysis, assuming that the arrangement of turns in each segment is the same, the number of winding turns in each layer is N0Turns of, wound together by N1And (3) a layer.
3. The method of claim 2, wherein the step S2 of calculating the partial capacitance between adjacent turns on the same layer in the same segment, and the partial capacitance between adjacent turns on the same segment based on the electromagnetic coil skeleton model and the structural parameters comprises:
s201, calculating partial capacitance between adjacent turns on the same layer in the same segment:
the section is seen as a cylindrical capacitor structure formed by two ring surfaces, and the cylindrical capacitance infinitesimal is shown as formula (1):
wherein d is1Indicates the outer diameter of the wire, d0Indicates the bare diameter of the core, epsilon0Denotes the vacuum dielectric constant,. epsilonrDenotes the relative dielectric constant of the insulating layer of the conductor0Representing the average length of each coil of the winding coil, and theta represents the opening angle of a turn-to-turn capacitance calculation path and a turn-to-turn connecting line;
setting the integral area theta as [ -theta ] according to the difference of the distribution space proportion of the inner and outer diameter electric fields of different turnst,θt]. Wherein the content of the first and second substances,
s202, calculating partial capacitance between adjacent turns between different layers in the same segment:
compared with the structure of the distributed capacitors in the layer, the structure size of the turns of the part of the vertically adjacent turns between layers is the same as that of the vertically adjacent turns in the layer, so the capacitance C of the vertically adjacent turns between layers is knownl1The intra-layer computation results, i.e.,
Cl1＝Ct (3)
the diagonal path width of the corresponding region of the air gap is set as h, and the adjacent turn line capacitance C of the interlayer oblique anglel2The calculation formula is as follows:
according to the geometrical relation, an integral channel formed by integral opening angles at the turn line boundary is selected, the span of the integral channel does not exceed the air gap between the turn line pair in the diagonal direction, and therefore the integral area theta is [ -theta [ theta ] ]l,θl]The integral limit calculation formula is as follows:
s203, calculating partial capacitance between adjacent turns between segments:
for the turn line at the edge of each coil section, a capacitance effect is formed between the turn line at the edge which is not shielded in the next coil section adjacent to the turn line, and based on two five-layer winding coils, the turn-to-turn equivalent capacitance C of the five-layer winding coilssExpressed as matrix relation (6):
in the formula, CmnThe subscript m of the equivalent partial capacitance between the sections represents the number of a left turn line layer, and the subscript n represents the number of a right turn line layer;
the adjacent capacitors in the same layer in the reference section are analyzed, and the difference lies in that the turn distance is enlarged, its space angle is still divided according to uniform symmetrical structure, and the integral field angle limit value is selected as [ -theta ]t,θt]Thereby obtaining equivalent partial capacitance C of the same subscriptsmmIs calculated by the formula (7):
wherein epsilonrsDenotes the relative dielectric constant, l, of the coil former dielectric material at the turn intervalmRepresenting the perimeter of the corresponding layer turn line;
the equivalent capacitance between the turns of the insulating layer between turns and the equivalent capacitance between the air gaps are combined to obtain the equivalent capacitance C between turns with different subscripts between the sectionssmnCalculation formula (8):
wherein lmAnd lnRespectively, the respective winding circumferences l of the two turns of wire between the corresponding segmentsminCorresponding to the minimum value of the circumferences of the two turns of lines, dd is the vertical connecting line distance of the two turns of lines, and the value of dd is determined by the coil section spacing and the inter-turn connecting line elevation angle;
the inter-segment path is approximately regarded as an equal-width channel with the width being the radius of a turn line, the angle from the center of the turn line to the edge of the path is the limit value of the integral angle, and the integral limit calculation relation can be obtained:
4. the method for designing an induction coil for use in an electromagnetic surveying system as claimed in claim 3, wherein the step S3 is implemented by summing the stored electric energy of each part of the electromagnetic induction coil according to the law of conservation of energy to obtain the overall equivalent capacitance of the electromagnetic coil, and specifically includes:
setting the average voltage per coil turn to U0Each section of inner turns is arranged in the same way, and the number of winding turns of each layer is N0Turns of, wound together by N1Layers, from which it can be seen that the average distributed voltage per layer is N0U0The distribution voltage of each segment is N0N1U0Adjacent inter-turn voltages U in the same layertFor adjacent inter-turn voltages U between different layerslDivided into vertically adjacent turn line voltages Ul1And the voltage U of the adjacent turn line at the oblique anglel2In two cases, the adjacent turn-to-turn voltage U between the segments is obtained by calculating the number of corresponding turns of two adjacent segmentss；
According to the law of conservation of energy, the total electric energy of the electromagnetic induction coil is the sum of the electric energy stored in each part of the system, the total electric energy stored value can be obtained through the calculation of the equivalent capacitance and the voltage of each part, and then the integral equivalent capacitance value C of the coil is obtained:
wherein N issIs the number of coil segments, NdThe number is calculated for the intersegment bevel capacitance.
5. The method of claim 4, wherein the step S4 is performed by verifying whether the performance of the induction coil is satisfactory, and if so, performing manufacturing and testing, and if not, repeating the steps S1-S4.
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| CN117970196A (en) * | 2024-04-01 | 2024-05-03 | 中国科学院地质与地球物理研究所 | Superaudio induction type magnetic field sensor and application thereof in high-resolution mineral exploration |
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| CN117970196A (en) * | 2024-04-01 | 2024-05-03 | 中国科学院地质与地球物理研究所 | Superaudio induction type magnetic field sensor and application thereof in high-resolution mineral exploration |
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