CN111969730A - Method for extracting coupling inductance of wireless power transmission link - Google Patents

Method for extracting coupling inductance of wireless power transmission link Download PDF

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CN111969730A
CN111969730A CN202010643359.6A CN202010643359A CN111969730A CN 111969730 A CN111969730 A CN 111969730A CN 202010643359 A CN202010643359 A CN 202010643359A CN 111969730 A CN111969730 A CN 111969730A
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coil
receiving coil
wireless power
coupling inductance
transmitting coil
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钱科芳
钱利波
易泽鑫
李敏华
朱樟明
夏银水
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Ningbo University
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Ningbo University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/70—Circuit arrangements or systems for wireless supply or distribution of electric power involving the reduction of electric, magnetic or electromagnetic leakage fields

Abstract

The invention discloses a method for extracting coupling inductance of a wireless power transmission link, which can quickly and accurately analyze and extract the coupling inductance between a receiving coil and a transmitting coil of the wireless power link under different working states by establishing a coupling inductance analysis model aiming at wireless power transmission with a concise form and high calculation accuracy, wherein the analysis result accuracy is basically consistent with the simulation result accuracy of commercial HFSS full-wave electromagnetic simulation software, but the calculation time and the design complexity are obviously reduced, the defects of overlong simulation time and low execution efficiency of the conventional HFSS full-wave electromagnetic simulation software are overcome, the design optimization efficiency of the wireless power transmission link can be improved, and technical developers are guided to quickly and timely design and optimize the wireless power transmission link. The method can quickly extract the coupling inductance of the receiving coil and the transmitting coil of the wireless power transmission link with different shapes and turns under any working state such as horizontal deviation, angle deviation and the like, and has wide application range.

Description

Method for extracting coupling inductance of wireless power transmission link
Technical Field
The invention relates to the technical field of wireless power transmission, in particular to a method for extracting coupling inductance of a wireless power transmission link.
Background
The wireless power transmission is an electromagnetic transmission technology for signal transmission through an alternating magnetic field between a transmitting coil and a receiving coil, has the advantages of good safety, high reliability, strong environmental adaptability, flexible access mode and the like, and is suitable for equipment energy supply in the working environments of medical implants, consumer electronics, electric vehicles and the like. The coupling inductance of the transceiver coil is a key factor influencing the performance of the wireless power transmission link, and directly determines the transmission power and transmission efficiency of the wireless power transmission link. In actual work, horizontal offset and angular offset inevitably occur between the transceiver coils, so that the coupling inductance changes, and the wireless power transmission system needs to rapidly extract the coupling inductance in a corresponding working state and dynamically adjust a working mode.
There are two main methods for studying coil coupling inductance: a method is characterized in that commercial three-dimensional full-wave electromagnetic simulation software HFSS is adopted for simulation calculation, the HFSS provides an accurate field splitter, a coil structure is subjected to finite element analysis, a full-wave electromagnetic field and coupling inductance of a coil can be calculated, however, grid division and simulation of the simulator need to consume long time, and optimization time of circuit design is prolonged; the other method is to analyze and calculate the electromagnetic field distribution between the coils by adopting elliptic integral and Bessel function to obtain the numerical analysis result of the coupling inductance, but the method belongs to a numerical method, cannot obtain an intuitive analysis equation, and has high calculation complexity of the coupling inductance.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a method for extracting the coupling inductance of the wireless power transmission link, aiming at the defects of the prior art, the method can quickly and accurately analyze and extract the coupling inductance between the receiving coil and the transmitting coil of the wireless power link in different working states, and guides technical developers to quickly design and optimize the wireless power transmission link in real time.
The technical scheme adopted by the invention for solving the technical problems is as follows: a method for extracting coupling inductance of a wireless power transmission link comprises the following steps:
s1: reading a working environment file of the wireless power transmission link, and recording the types and specifications of circular receiving coils and transmitting coils in the file;
s2: according to the types and specifications of the receiving coil and the transmitting coil, the size parameters and the material parameters of the receiving coil and the transmitting coil are obtained and stored as the design parameters of the receiving coil and the transmitting coil;
s3: in the working process of the wireless power transmission link, detecting and recording the center distance h, the horizontal deviation value x and the angle deviation value theta between the receiving coil and the transmitting coil in real time by using a laser distance meter;
s4: solving the distance R between any point A on the receiving coil and any point B on the transmitting coil according to the analytic formula (1):
Figure BDA0002572220060000021
in the formula (1), (X)1,Y1,Z1) Is the coordinate of any point B on the transmitting coil, (X)2,Y2,Z2) Is the coordinate of any point A on the receiving coil, (X)1,Y1,Z1) And (X)2,Y2,Z2) Are positioned in the same coordinate system;
s5: substituting the distance R obtained by the solution in the step S4 into a Noemann function, and deriving a complex integral equation of the coupling inductance M between the receiving coil with the single-turn structure and the transmitting coil with the single-turn structure:
Figure BDA0002572220060000022
in the formula (2), r1And r2The inner diameters of the transmitter coil and the receiver coil respectively,
Figure BDA0002572220060000023
and
Figure BDA0002572220060000024
respectively the angular coordinate, mu, of any point B on the transmitting coil and any point A on the receiving coil0Is a vacuum magnetic conductivity;
s6: and (3) carrying out 5-order Taylor series expansion calculation on the complex integral equation of the formula (2) to obtain a simple and efficient analytical formula of the coupling inductance M between the receiving coil with the single-turn structure and the transmitting coil with the single-turn structure:
Figure BDA0002572220060000025
in the formula (3), α ═ 2r1x/τ，β＝(2hr2sinθ-2xr2cosθ)/τ，γ＝2r1r2cosθ/τ，χ＝2r1r2/τ，τ＝r1 2+r2 2+x2+h2；
Coupling inductance M between receiving coil of multi-turn structure and transmitting coil of multi-turn structuretotalThe analytical formula (D) is as follows:
Figure BDA0002572220060000026
in the formula (4), n1And n2Number of turns, M, of the transmitting coil and the receiving coil, respectivelyijThe coupling inductance between the ith turn of winding of the transmitting coil and the jth turn of winding of the receiving coil is set to be 1;
s7: and analyzing to obtain the coupling inductance of the wireless power transmission link in different offset states by utilizing the numerical analysis function of the known MATLAB software.
In step S6, the coupling inductance between the receiving coil and the transmitting coil with horizontal offset and angular offset can be quickly extracted and calculated through the 5 th-order taylor series expansion.
Preferably, in step S2, the design parameters of the receiving coil and the transmitting coil include coil turns, inner diameter, wire width, wire spacing, wire thickness, and wire conductivity.
Preferably, in step S4, the coordinates of any point B on the transmitting coil and the coordinates of any point a on the receiving coil are:
Figure BDA0002572220060000031
Figure BDA0002572220060000032
preferably, the inner diameters of the square receiving coil and the square transmitting coil are replaced by the inner lengths of the transmitting coil and the receiving coil, respectively, and the inner length of the transmitting coil is 2r1The inner edge length of the receiving coil is 2r2Coefficient ρ ═ (4/π)1+r2/r1。
Compared with the prior art, the invention has the advantages that:
1. the method for extracting the coupling inductance of the wireless power transmission link provides a coupling inductance analysis model with a concise form and high calculation precision for wireless power transmission design and optimization, can quickly and accurately analyze and extract the coupling inductance between a receiving coil and a transmitting coil of the wireless power link in different working states, has the analysis result precision basically consistent with the simulation result precision of commercial HFSS full-wave electromagnetic simulation software, but obviously reduces the calculation time and the design complexity, overcomes the defects of overlong simulation time and low execution efficiency of the conventional HFSS full-wave electromagnetic simulation software, can improve the design optimization efficiency of the wireless power transmission link, and guides technical developers to quickly design and optimize the wireless power transmission link in real time;
2. the method for extracting the coupling inductance of the wireless power transmission link can quickly extract the coupling inductance of the receiving coil and the transmitting coil of the wireless power transmission link with different shapes and turns under any working state such as horizontal deviation, angle deviation and the like, and has wide application range.
Drawings
Fig. 1 is a schematic structural diagram of a receiving coil and a transmitting coil of a wireless power transmission link in embodiment 1;
FIG. 2 is a graph of coupling inductance for a round receiver coil and transmitter coil and a square receiver coil and transmitter coil at horizontal offset;
FIG. 3 is a graph of coupling inductance for a round receiver coil and transmitter coil and a square receiver coil and transmitter coil at an angular offset;
fig. 4 shows the coupling inductance curves of a round receiver coil and transmitter coil and a square receiver coil and transmitter coil under the combined action of horizontal offset and angular offset.
Detailed Description
The invention is described in further detail below with reference to the accompanying examples.
The method for extracting the coupling inductance of the wireless power transmission link in the embodiment 1 includes the following steps:
s1: reading a working environment file of the wireless power transmission link, and recording the types and specifications of circular receiving coils and transmitting coils in the file;
s2: according to the type and specification of the receiving coil and the transmitting coil, acquiring the size parameters and the material parameters of the receiving coil and the transmitting coil, and storing the size parameters and the material parameters as the design parameters of the receiving coil and the transmitting coil, wherein the design parameters of the receiving coil and the transmitting coil comprise the number of turns of the coil, the inner diameter, the wire width, the wire spacing, the wire thickness and the wire conductivity;
s3: in embodiment 1, a schematic structural diagram of a receiving coil and a transmitting coil of a wireless power transmission link is shown in fig. 1, and in a working process of the wireless power transmission link, a laser distance meter is used for detecting and recording a center distance h, a horizontal offset value x and an angle offset value theta between the receiving coil and the transmitting coil in real time;
s4: solving the distance R between any point A on the receiving coil and any point B on the transmitting coil:
Figure BDA0002572220060000041
wherein (X)1,Y1,Z1) Is the coordinate of any point B on the transmitting coil, (X)2,Y2,Z2) Is the coordinate of any point A on the receiving coil, (X)1,Y1,Z1) And (X)2,Y2,Z2) Located in the same coordinate system, wherein:
Figure BDA0002572220060000042
Figure BDA0002572220060000043
therefore, the temperature of the molten metal is controlled,
Figure BDA0002572220060000044
wherein r is1And r2The inner diameters of the transmitter coil and the receiver coil respectively,
Figure BDA0002572220060000045
and
Figure BDA0002572220060000046
respectively the angular coordinate, mu, of any point B on the transmitting coil and any point A on the receiving coil0Is a vacuum magnetic conductivity;
s5: substituting the distance R obtained by the solution in the step S4 into a Noemann function, and deriving a complex integral equation of the coupling inductance M between the receiving coil with the single-turn structure and the transmitting coil with the single-turn structure:
Figure BDA0002572220060000051
wherein α is 2r1x/τ，β＝(2hr2sinθ-2xr2cosθ)/τ，γ＝2r1r2cosθ/τ，χ＝2r1r2/τ，τ＝r1 2+r2 2+x2+h2；
S6: and (3) performing 5-order Taylor series expansion calculation on the complex integral equation to obtain a simple and efficient analytic expression of the coupling inductance M between the receiving coil with the single-turn structure and the transmitting coil with the single-turn structure:
Figure BDA0002572220060000052
coupling inductance M between receiving coil of multi-turn structure and transmitting coil of multi-turn structuretotalThe analytical formula (D) is as follows:
Figure BDA0002572220060000053
wherein n is1And n2Number of turns, M, of the transmitting coil and the receiving coil, respectivelyijThe coupling inductance between the ith turn of winding of the transmitting coil and the jth turn of winding of the receiving coil is set to be 1;
s7: and analyzing to obtain the coupling inductance of the wireless power transmission link in different offset states by utilizing the numerical analysis function of the known MATLAB software.
The method for extracting the coupling inductance of the wireless power transmission link in embodiment 2 is different from that in embodiment 1 in that the receiving coil and the transmitting coil in embodiment 2 are both square, and the inner diameters in embodiment 1 are replaced by the inner lengths of the square transmitting coil and the square receiving coil, respectively. In example 2, the inner edge length of the transmitting coil was 2r1The inner edge length of the receiving coil is 2r2Coefficient ρ ═ (4/π)1+r2/r1。
The extraction methods of example 1 and example 2 were used to calculate the coupling inductance between the circular receiver coil and transmitter coil and the coupling inductance between the square receiver coil and transmitter coil, respectively, and compare them with the simulation results of commercial HFSS full-wave electromagnetic simulation software.
FIG. 2 is a graph of coupling inductance for a round receiver coil and transmitter coil and a square receiver coil and transmitter coil at horizontal offset, where r1＝10mm、r2＝3mm、h＝10mm、n1＝1、n21. The comparison result shows that the extraction method has higher extraction precision under the condition of horizontal offset, the error between the extracted coupling inductance and the coupling inductance obtained by the HFSS full-wave electromagnetic simulation software is less than 5.4%, and the simulation time of the extraction method is about 0.02 second and is far lower than the simulation time of 1 minute 10 seconds consumed by the HFSS full-wave electromagnetic simulation software.
FIG. 3 is a graph of coupling inductance for a round receiver coil and transmitter coil and a square receiver coil and transmitter coil at an angular offset, where r1＝10mm、r2＝3mm、h＝10mm、n1＝1、n21. The comparison result shows that the extraction method has higher extraction precision under the condition of angle deviation, the error between the extracted coupling inductance and the coupling inductance obtained by the HFSS full-wave electromagnetic simulation software is less than 6.8 percent, and the simulation time of the extraction method is about 0.03 second and is far lower than the simulation time of 1 minute and 15 seconds consumed by the HFSS full-wave electromagnetic simulation software.
FIG. 4 is a graph of the coupling inductance of a round receiver coil and transmitter coil and a square receiver coil and transmitter coil under the combined action of horizontal offset and angular offset, where r1＝10mm、r2＝3mm、h＝10mm、x＝3mm、n1＝1、n21. The comparison result shows that the extraction method has higher extraction precision under the conditions of horizontal offset and angular offset, the error between the extracted coupling inductance and the coupling inductance obtained by the HFSS full-wave electromagnetic simulation software is less than 8.9%, and the simulation time of the extraction method is about 0.04 seconds and is far lower than the simulation time of 1 minute 26 seconds consumed by the HFSS full-wave electromagnetic simulation software.

Claims (4)

1. A method for extracting coupling inductance of a wireless power transmission link is characterized by comprising the following steps:
s1: reading a working environment file of the wireless power transmission link, and recording the types and specifications of circular receiving coils and transmitting coils in the file;
s2: according to the types and specifications of the receiving coil and the transmitting coil, the size parameters and the material parameters of the receiving coil and the transmitting coil are obtained and stored as the design parameters of the receiving coil and the transmitting coil;
s3: in the working process of the wireless power transmission link, detecting and recording the center distance h, the horizontal deviation value x and the angle deviation value theta between the receiving coil and the transmitting coil in real time by using a laser distance meter;
s4: solving the distance R between any point A on the receiving coil and any point B on the transmitting coil according to the analytic formula (1):
Figure FDA0002572220050000011
in the formula (1), (X)1,Y1,Z1) Is the coordinate of any point B on the transmitting coil, (X)2,Y2,Z2) Is the coordinate of any point A on the receiving coil, (X)1,Y1,Z1) And (X)2,Y2,Z2) Are positioned in the same coordinate system;
s5: substituting the distance R obtained by the solution in the step S4 into a Noemann function, and deriving a complex integral equation of the coupling inductance M between the receiving coil with the single-turn structure and the transmitting coil with the single-turn structure:
Figure FDA0002572220050000012
in the formula (2), r1And r2The inner diameters of the transmitter coil and the receiver coil respectively,
Figure FDA0002572220050000013
and
Figure FDA0002572220050000014
respectively the angular coordinate, mu, of any point B on the transmitting coil and any point A on the receiving coil0Is a vacuum magnetic conductivity;
s6: and (3) carrying out 5-order Taylor series expansion calculation on the complex integral equation of the formula (2) to obtain a simple and efficient analytical formula of the coupling inductance M between the receiving coil with the single-turn structure and the transmitting coil with the single-turn structure:
Figure FDA0002572220050000015
in the formula (3), α ═ 2r1x/τ，β＝(2hr2sinθ-2xr2cosθ)/τ，γ＝2r1r2cosθ/τ，χ＝2r1r2/τ，τ＝r1 2+r2 2+x2+h2；
Coupling inductance M between receiving coil of multi-turn structure and transmitting coil of multi-turn structuretotalThe analytical formula (D) is as follows:
Figure FDA0002572220050000016
in the formula (4), n1And n2Number of turns, M, of the transmitting coil and the receiving coil, respectivelyijThe coupling inductance between the ith turn of winding of the transmitting coil and the jth turn of winding of the receiving coil is set to be 1;
s7: and analyzing to obtain the coupling inductance of the wireless power transmission link in different offset states by utilizing the numerical analysis function of the known MATLAB software.
2. The method as claimed in claim 1, wherein the design parameters of the receiving coil and the transmitting coil in step S2 include coil turns, inner diameter, wire width, wire spacing, wire thickness and wire conductivity.
3. The method as claimed in claim 1, wherein in step S4, the coordinates of any point B on the transmitting coil and the coordinates of any point a on the receiving coil are respectively:
Figure FDA0002572220050000021
Figure FDA0002572220050000022
4. the method as claimed in claim 1, wherein the inner diameters of the receiving coil and the transmitting coil are replaced by inner lengths of the transmitting coil and the receiving coil, respectively, and the inner length of the transmitting coil is 2r1The inner edge length of the receiving coil is 2r2Coefficient ρ ═ (4/π)1+r2/r1。
CN202010643359.6A 2020-07-07 2020-07-07 Method for extracting coupling inductance of wireless power transmission link Pending CN111969730A (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20120223586A1 (en) * 2011-03-01 2012-09-06 Tdk Corporation Wireless power feeder, wireless power receiver, and wireless power transmission system, and coil
CN107766669A (en) * 2017-11-01 2018-03-06 清华大学 A kind of Wireless charging coil self-induction and the unit for electrical property parameters computational methods of mutual inductance
CN111313570A (en) * 2020-01-21 2020-06-19 江苏大学 Method for calculating deflection angle corresponding to maximum coil mutual inductance on spatial scale

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20120223586A1 (en) * 2011-03-01 2012-09-06 Tdk Corporation Wireless power feeder, wireless power receiver, and wireless power transmission system, and coil
CN107766669A (en) * 2017-11-01 2018-03-06 清华大学 A kind of Wireless charging coil self-induction and the unit for electrical property parameters computational methods of mutual inductance
CN111313570A (en) * 2020-01-21 2020-06-19 江苏大学 Method for calculating deflection angle corresponding to maximum coil mutual inductance on spatial scale

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
SALAHUDDIN RAJU: "Modeling of Mutual Coupling Between Planar Inductors in Wireless Power Applications", 《IEEE TRANSACTIONS ON POWER ELECTRONICS》 *
陈政等: "基于最大功效积的磁谐振无线电能传输系统的PCB线圈优化设计", 《电气技术》 *

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