Experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit

By using a five-step experimental method based on LCR circuits, the electromagnetic energy conversion efficiency is systematically optimized, which solves the shortcomings of existing technologies in the measurement and optimization of electromagnetic induction energy conversion efficiency, and achieves a significant improvement in electromagnetic energy conversion efficiency and teaching effectiveness.

CN121963572APending Publication Date: 2026-05-01SHAANXI UNIV OF SCI & TECH
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
SHAANXI UNIV OF SCI & TECH
Filing Date
2026-02-11
Publication Date
2026-05-01

AI Technical Summary

Technical Problem

Existing university physics experiments lack quantitative measurement and systematic optimization methods for electromagnetic induction energy conversion efficiency, making it difficult to intuitively understand the complete optimization path from basic electromagnetic induction to efficient resonant electrical energy transmission through experiments.

Method used

An experimental method based on LCR circuits was designed. Through five interconnected experimental steps, including basic efficiency measurement, coil shape optimization, basic compensation topology selection, high-order compensation optimization, and operating frequency scanning, quantitative analysis was performed using high-precision measurement equipment, thus constructing a complete teaching device system from basic principles to engineering applications.

Benefits of technology

It achieves a significant improvement in electromagnetic energy conversion efficiency, with a total efficiency increase of 330%. It is highly systematic and pedagogical, combining quantification and visualization with a close integration of theory and practice, making it suitable for university physics experimental teaching.

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Abstract

An experimental method for improving the electromagnetic energy conversion rate based on an LCR circuit comprises the following steps that s1, a basic experimental system is built; s2, executing a first basic experiment; s3, executing a second contrast experiment; s4, executing a third advanced experiment; s5, executing a fourth optimization experiment; s6, executing a fifth parameter scanning experiment; the whole process from basic efficiency measurement to multi-factor optimization is systematically displayed, and the system has the characteristics of teaching systematicness, quantitative visualization and engineering exploration depth. A complete teaching device system from a basic principle to engineering application is constructed, precision measurement is performed on data, academic preciseness, teaching practicability and economic feasibility are integrated, and the teaching device has definite differentiated competitive advantages in the field of college physics experiment teaching equipment and solves the problems of university physics experiment and engineering application teaching. And the problem in the field of electromagnetic energy efficiency deoxidation optimization is solved.
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Description

Technical Field

[0001] This invention belongs to the fields of physics teaching experimental technology and power electronics technology, and in particular, it relates to an experimental method for exploring and optimizing the efficiency of electromagnetic induction energy transmission, specifically an experimental method for improving electromagnetic energy conversion efficiency based on an LCR circuit. Background Technology

[0002] The principle of electromagnetic induction is one of the core contents of university physics teaching. With the popularization of wireless charging technology, energy transmission based on electromagnetic induction has become a good bridge connecting theoretical teaching and engineering applications. However, most existing university physics experiments are limited to verifying the basic phenomena of Faraday's law, lacking quantitative measurement of energy conversion efficiency, a key engineering indicator, and even more lacking a comprehensive experimental method to systematically explore how to improve efficiency through circuit optimization (such as introducing LCR resonance compensation).

[0003] Traditional experimental setups are often simple in structure and fail to demonstrate the combined effects of multiple variables, such as coil shape, compensation topology, and operating frequency, on efficiency. Students struggle to intuitively grasp the complete optimization path and technical principles from basic electromagnetic induction to efficient resonant power transfer. Therefore, designing a logically rigorous, progressively in-depth, and quantitative experimental method is crucial for deepening students' understanding of electromagnetic theory and power electronics technology. Summary of the Invention

[0004] To overcome the shortcomings of the existing technologies, the present invention aims to provide an experimental method for improving electromagnetic energy conversion efficiency based on LCR circuits. This method systematically demonstrates the entire process from basic efficiency measurement to multi-factor optimization through five interconnected experimental steps. It features systematic teaching, quantitative visualization, and in-depth engineering inquiry, integrating structural optimization (square ring coil) and topology optimization (LCC-S compensation) to construct a complete teaching device system from basic principles to engineering applications. The ADS1256 is used for precise data measurement, combining academic rigor, practical teaching, and economic feasibility. It has a clear competitive advantage in the field of university physics experimental teaching equipment, filling the gap in the field of electromagnetic energy efficiency optimization in university physics experiments, and providing a replicable example for the reform of physics experimental courses under the background of "new engineering".

[0005] To achieve the above objectives, the technical solution adopted by this invention is: an experimental method for improving electromagnetic energy conversion efficiency based on an LCR circuit, comprising the following steps:

[0006] Step S1: Constructing the basic experimental system: The system includes a signal generator, a transmitting module, a receiving module, a signal acquisition circuit, and a digital oscilloscope; the transmitting module includes a transmitting coil; the receiving module includes a receiving coil and a rectifier-filter circuit; the output terminal of the signal generator is connected to the transmitting coil; the voltage acquisition terminal of the signal acquisition circuit is connected to both ends of the transmitting coil and the output terminal of the rectifier-filter circuit, respectively, for acquiring input and output voltages; the probe of the digital oscilloscope is connected to both ends of the transmitting coil for observing waveforms.

[0007] Step S2, perform the first basic experiment: without setting up an LCR compensation circuit, use a circular ring planar disc coil as the transmitting coil and receiving coil, set the output frequency and voltage of the signal generator, and measure and calculate the energy conversion rate η1 under this basic state by adjusting the relative position of the coils.

[0008] Step S3, perform the second comparative experiment: while keeping other system conditions unchanged as described in step S2, replace the circular annular planar disc coil with a square annular planar disc coil, measure and calculate the energy conversion efficiency η2, and compare it with η1 to verify the effect of coil shape optimization on efficiency improvement;

[0009] Step S4, perform the third advanced experiment: Based on the system described in step S3, add LCR compensation circuit 9 to the transmitter and receiver, and test the energy conversion efficiency η3 of the SS type, SP type, PS type and PP type basic compensation topologies in resonance and non-resonance states in turn, and screen out the compensation topologies that can significantly improve efficiency.

[0010] Step S5, perform the fourth optimization experiment: Based on the system described in step S3, replace the basic LCR compensation circuit with an LCC-S type high-order compensation circuit, measure and calculate the energy conversion efficiency η4, and compare it with η3 to verify the further optimization effect of the high-order topology on efficiency;

[0011] Step S6, perform the fifth parameter scanning experiment: In the system equipped with the LCC-S type high-order compensation circuit described in step S5, keep the relative position of the coil unchanged, scan and change the operating frequency of the signal generator, measure the energy conversion efficiency η5 at different frequencies, and determine the optimal operating frequency point.

[0012] In steps S2, S3, S4, and S5, adjusting the relative position of the coil includes: fixing the radial offset of the coil to zero, systematically changing the axial distance of the coil, and fixing the axial distance of the coil, systematically changing the radial offset of the coil.

[0013] In step S4, the resonant state is achieved by adjusting the parameters of the inductors and capacitors in the basic LCR compensation circuit to ensure the system meets the following resonance condition: For SS-type or PS-type compensation topologies, the circuit parameters satisfy the following relationship:

[0014]

[0015] Where ω is the angular frequency of the signal generator, L1 and C1 are the self-inductance of the transmitting coil and its series compensation capacitor, respectively, and L2 and C2 are the self-inductance of the receiving coil and its series compensation capacitor, respectively.

[0016] In step S4, when the basic LCR compensation circuit is an SS-type or PS-type topology, it can achieve resonance and significantly improve energy conversion efficiency.

[0017] In step S5, the transmitter of the LCC-S type high-order compensation circuit consists of a compensation inductor L1 and a first compensation capacitor C. p After being connected in series, it is connected in parallel with the second compensation capacitor C6 to form the primary-side compensation circuit.

[0018] The energy conversion efficiency η is determined by measuring the input voltage U. i and output voltage U o And calculations and comparisons are performed based on the following relationships:

[0019]

[0020] Right now: .

[0021] The signal acquisition circuit (7) is based on the high-precision analog-to-digital converter ADS1256.

[0022] The beneficial effects of this invention are:

[0023] Compared with the prior art, the present invention has the following technical advantages:

[0024] 1) Strong systematicity and pedagogical value: Through five logically rigorous progressive experiments, complex engineering optimization problems are broken down into clear steps, making it very suitable as teaching content for university physics or electronic engineering experiments, and helping students to establish systematic engineering thinking.

[0025] 2) The depth of exploration increases progressively: from a single variable (coil shape) to complex variables (compensation topology, resonance state, operating frequency), the depth of exploration gradually increases, which is in line with the laws of cognition and can effectively guide students to understand the key factors affecting efficiency.

[0026] 3) Quantification and visualization: The entire process uses high-precision measurement equipment (such as ADS1256 acquisition card, digital oscilloscope) for quantitative measurement, and the results are accurately calculated through efficiency formula, which is reliable and easy to analyze and compare.

[0027] 4) Theory and practice are closely integrated: The experimental content closely revolves around core theories such as electromagnetic induction, circuit resonance, and impedance matching, enabling students to deepen their understanding of abstract theories through hands-on practice.

[0028] 5) This invention improves the overall efficiency by 330% through five-order progressive optimization and structural optimization from basic compensation to high-order compensation to frequency optimization. Attached Figure Description

[0029] Figure 1 Yes, this is a flowchart of the experimental method of this invention.

[0030] Figure 2 This is a schematic diagram of the basic experimental system structure used in the embodiments of the present invention.

[0031] Figure 3 This is a schematic diagram of the topology of a simple SS-type LCR compensation circuit in an embodiment of the present invention.

[0032] Figure 4 This is a topology diagram of the LCC-S type high-order compensation circuit in an embodiment of the present invention.

[0033] Figure 5 This is a comparative schematic diagram (exemplary data) showing the change in energy conversion efficiency with the axial distance of the coil in an embodiment of the present invention.

[0034] Figure 6 This is a comparative schematic diagram (exemplary data) showing the change in energy conversion efficiency with the radial distance of the coil in an embodiment of the present invention.

[0035] Figure 7 This is a schematic diagram (exemplary data) showing the axial variation of energy conversion efficiency with operating frequency in an embodiment of the present invention.

[0036] Figure 8 This is a schematic diagram (exemplary data) showing the radial variation of energy conversion efficiency with operating frequency in an embodiment of the present invention. Detailed Implementation

[0037] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. These embodiments are implemented based on the technical solution of the present invention, but the scope of protection of the present invention is not limited to the following embodiments.

[0038] See Figure 1 An experimental method for improving electromagnetic energy conversion efficiency based on LCR circuits includes the following steps:

[0039] Step S1: Constructing the basic experimental system: The system includes a signal generator 1, a transmitting module 2, a receiving module 3, a signal acquisition circuit 7, and a digital oscilloscope 8. The transmitting module includes a transmitting coil 4; the receiving module includes a receiving coil 5 and a rectifier-filter circuit 6. The output terminal of the signal generator 1 is connected to the transmitting coil 4. The voltage acquisition terminals of the signal acquisition circuit 7 are connected to both ends of the transmitting coil 4 and the output terminal of the rectifier-filter circuit, respectively, for acquiring the input and output voltages. The probe of the digital oscilloscope 8 is connected to both ends of the transmitting coil 4 for waveform observation.

[0040] Step S2, perform the first basic experiment: without setting up an LCR compensation circuit, use a circular ring planar disc coil as the transmitting coil 4 and the receiving coil 5, set the output frequency and voltage of the signal generator 1, and measure and calculate the energy conversion rate η1 under this basic state by adjusting the relative position of the coils.

[0041] Step S3, perform the second comparative experiment: while keeping other system conditions unchanged as described in step S2, replace the circular annular planar disc coil with a square annular planar disc coil, measure and calculate the energy conversion efficiency η2, and compare it with η1 to verify the effect of coil shape optimization on efficiency improvement;

[0042] Step S4, perform the third advanced experiment: Based on the system described in step S3, add LCR compensation circuit 9 to the transmitter and receiver, and test the energy conversion efficiency η3 of the SS type, SP type, PS type and PP type basic compensation topologies in resonance and non-resonance states in turn, and screen out the compensation topologies that can significantly improve efficiency.

[0043] Step S5, perform the fourth optimization experiment: Based on the system described in step S3, replace the basic LCR compensation circuit with an LCC-S type high-order compensation circuit, measure and calculate the energy conversion efficiency η4, and compare it with η3 to verify the further optimization effect of the high-order topology on efficiency;

[0044] Step S6, perform the fifth parameter scanning experiment: In the system equipped with the LCC-S type high-order compensation circuit described in step S5, keep the relative position of the coil unchanged, scan and change the operating frequency of the signal generator 1, measure the energy conversion efficiency η5 at different frequencies, and determine the optimal operating frequency point.

[0045] In steps S2, S3, S4, and S5, adjusting the relative position of the coil includes: fixing the radial offset of the coil to zero, systematically changing the axial distance of the coil, and fixing the axial distance of the coil, systematically changing the radial offset of the coil.

[0046] In step S4, the resonant state is achieved by adjusting the parameters of the inductors and capacitors in the basic LCR compensation circuit to ensure the system meets the following resonance condition: For SS-type or PS-type compensation topologies, the circuit parameters satisfy the following relationship:

[0047]

[0048] Where ω is the angular frequency of the signal generator, L1 and C1 are the self-inductance of the transmitting coil and its series compensation capacitor, respectively, and L2 and C2 are the self-inductance of the receiving coil and its series compensation capacitor, respectively.

[0049] In step S4, when the basic LCR compensation circuit is an SS-type or PS-type topology, it can achieve resonance and significantly improve energy conversion efficiency.

[0050] In step S5, the transmitter of the LCC-S type high-order compensation circuit consists of a compensation inductor L1 and a first compensation capacitor C. p After being connected in series, it is connected in parallel with the second compensation capacitor C6 to form the primary-side compensation circuit.

[0051] The energy conversion efficiency η is determined by measuring the input voltage U. i and output voltage U o And calculations and comparisons are performed based on the following relationships:

[0052]

[0053] Right now: .

[0054] The signal acquisition circuit 7 is based on the high-precision analog-to-digital converter ADS1256.

[0055] I. Experimental system setup (corresponding to step S1), such as Figure 2 As shown, the experimental system was built.

[0056] Signal Generator 1: The AFG1062 function signal generator is selected to generate high-frequency sinusoidal AC signals.

[0057] Transmitter and receiver: Both the transmitting coil 4 and the receiving coil 5 are wound with Litz wire, initially in the shape of a circular ring (15cm inner diameter, 15 turns). The coils are fixed by a self-made displacement adjustment mechanism 10. The relative positions of the axial (x-axis) and radial (y-axis) axes can be precisely adjusted.

[0058] LCR compensation circuit: Prepare multiple soldered PCB boards to implement the basic compensation topologies of SS, SP, PS, and PP respectively. Figure 3 (For example) and LCC-S higher-order compensation topology ( Figure 4 ).

[0059] See Figure 3 Taking the SS-type LCR compensation circuit as an example, its connection relationship is as follows: On the primary side (transmitter side), the compensation capacitor C1 is connected in series with the transmitting coil L1 and then connected to a high-frequency AC power supply. The coil inductive reactance is canceled through resonance, making the primary side purely resistive.

[0060] On the secondary side (receiving side), the receiving coil is open (L). s It is connected in series with the compensation capacitor C2, and with the liability R. L A closed loop is formed, and the two coils achieve magnetic coupling energy transfer through mutual inductance M. When the resonant frequencies of the primary and secondary sides are consistent, the system input impedance exhibits pure resistive characteristics, which can realize zero phase angle input and efficient power transfer.

[0061] See Figure 4 The LCC-S type LCR compensation circuit adopts a topology combining a primary-side LCC composite network with secondary-side series compensation. The connection relationship is as follows: the primary side consists of a T-type LCC network formed by parallel compensation capacitor C1, compensation inductor L1, and series compensation capacitor C2. C1 is directly connected in parallel across the power supply, L1 is connected in series between C1 and C2, and C2 is then connected in series with the transmitting coil to form a transmitting circuit, achieving dual resonance through frequency modulation. The secondary side uses simple series compensation; the receiving coil is connected in series with compensation capacitor C3 and then connected to the load R. L The primary and secondary sides are magnetically coupled through mutual inductance M.

[0062] Rectifier and filter circuit: A full-wave bridge rectifier circuit is constructed using 1N5819 Schottky diodes.

[0063] Measurement equipment: Digital oscilloscope 7 (TDS1001C-EDU type) is used to measure the effective value U of the AC voltage across the transmitting coil. i The high-precision signal acquisition circuit 6 (based on the ADS1256 chip) is used to measure the rectified DC output voltage U. O .

[0064] In this embodiment, the specific structural parameters of the circular and square ring planar disc coils used for comparison are shown in Table 1 below:

[0065]

[0066] Table 1 shows the simulated values ​​of self-inductance, mutual inductance, and coil internal resistance for COMSOL toroidal coils with 10 to 19 turns.

[0067] Simulated values ​​of self-inductance, mutual inductance, and coil internal resistance for COMSOL square toroidal coils with 10 to 19 turns are shown in Table 2 below:

[0068]

[0069] The purpose of conducting experiments on coils based on the above parameters is to provide specific and quantifiable implementation guidelines for the technical feature of "coil shape," enabling those skilled in the art to accurately replicate the experiment.

[0070] II. Progressive Experimental Procedures: Experiment 1 (S2): Basic Efficiency Measurement

[0071] Operation: Do not install any LCR compensation circuit. Install the circular coil in place, set the signal generator frequency f=100kHz, and the output voltage to a moderate level (e.g., 1.3576V). Fix the radial offset y=0mm, and change the axial distance x (10mm, 20mm, ..., 60mm). Record U at each position. i and U O .

[0072] Calculation: Based on the correspondence:

[0073] The energy conversion efficiency η1 at each location was calculated. When x=10 mm and y=0 mm, η1≈9.25% was measured.

[0074] At an operating frequency of 100 kHz, the relative positions of the primary and secondary coils are x = 10.0 mm (x direction is the axial movement along the coil) and y = 0.0 mm (y direction is the radial movement along the coil). The data on the change of the receiving coil voltage with x when y = 0.0 mm and the data on the change of the receiving coil voltage with y when x = 10.0 mm are measured by changing only the x-direction position or the y-direction position. See Table 3.

[0075] Table 3. Analysis of measurement data from a device with a circular coil and pure electromagnetic induction (transmitting coil voltage 1.3576V).

[0076]

[0077] Experiment 2 (S3): Coil Shape Optimization

[0078] Operation: Keeping the rest of the system unchanged, only replace the circular toroidal coil with a square toroidal coil (same number of turns, same size). Measure U under the same conditions (f=100kHz, x=10mm, y=0mm). i and U o .

[0079] Calculations and comparisons show that the computational efficiency η2 ≈ 12.16%. Compared with η1, the efficiency is improved by about 31.5%, verifying that the square ring coil has an efficiency advantage due to its larger coupling coefficient.

[0080] At a working frequency of 100 kHz, the relative positions of the primary and secondary coils are x=10.0 mm and y=0.0 mm. The data on the change of the receiving coil voltage with x when y=0.0 mm and the change of the contact coil voltage with y when x=10.0 mm are measured by changing the position in the x direction or the y direction respectively. The data are shown in Table 4.

[0081]

[0082] Experiment 3 (S4): Introduction and Screening of Basic Compensation

[0083] Operation: Connect the basic LCR compensation circuit board to the transmitter and receiver. First, connect the SS-type compensation circuit. Adjust the capacitor and inductor values ​​in the circuit and observe the phase using an oscilloscope. Bring the system to resonance (input voltage and current in phase) and measure under the conditions of f=100 kHz, X=10mm, y=0mm.

[0084] Calculation and Comparison: The measured resonant state efficiency η3_SS≈19.40% was significantly improved compared to η2. Similarly, the PS-type compensation also showed a significant improvement (η3_PS≈16.27%); while the SP and PP types showed little or no efficiency improvement under this setting, and even decreased. This step selected the SS and PS types as effective compensation topologies.

[0085] At an operating frequency of 100 kHz, measurements were performed and compared when the electromagnetic induction of the planar disc coil with different compensation networks was kept constant at x=10 mm and y=0 mm. The data are shown in Table 5.

[0086] Table 5. Resonance data of square loop coil + different simple LCR electromagnetic induction devices

[0087]

[0088] Experiment 4 (S5): Higher-order compensation optimization

[0089] Operation: Replace the compensation circuit with an LCC-S type high-order compensation topology board and measure under the same conditions (F=100kHz, x=10mm, y=0mm).

[0090] Calculations and comparisons show that the vehicle's efficiency η4≈223.34%. Compared with the optimal basic compensation η3_SS (19.40%), the efficiency is further improved by about 20.3%, verifying the advantages of the LCC-S topology in decoupling and stability.

[0091] At an operating frequency of 100 kHz, with the relative positions of the primary and secondary coils at x = 10.0 mm and y = 0.0 mm, the voltage of the receiving coil as a function of x was measured when y = 0.0 mm, and the voltage of the receiving coil as a function of y when x = 10.0 mm, by changing only the x-direction position or the y-direction position. The data are shown in Table 6.

[0092] Table 6 Data for a square ring coil + complex LCR (LCC-S type) device (transmitting coil voltage: 1.9092V)

[0093]

[0094] Experiment 5 (S6): Operating Frequency Optimization

[0095] Operation: Maintain optimal hardware configuration (square loop coil + LCC-S compensation circuit) and coil position (x=10mm, y=0mm). Gradually increase the signal generator frequency (e.g., 100kHz, 200kHz, 300kHz, 400kHz), and measure U at each frequency. i and U o .

[0096] Calculation and Analysis: η5 was calculated. It was found that in this embodiment, efficiency increases with frequency, peaking at 300 kHz with η5 ≈ 39.88%. The optimal operating frequency for this specific system was determined.

[0097] With the primary and secondary coils positioned at relative positions of x=10.0mm, y=0.0mm; x=20.0mm, y=0.0mm; and x=30.0mm, y=0.0mm, the frequency of the signal generator was changed, and the data of the received coil voltage were shown in Table 7.

[0098] Table 7 Measurement data of the double-ring coil + complex LCR (LCC-S type) device

[0099]

[0100] III. Experimental Results and Conclusions

[0101] The five experiments above clearly demonstrate that by following a progressive optimization path—from coil optimization to basic compensation screening, and then to high-order compensation upgrades to frequency scanning—the electromagnetic induction energy conversion efficiency can be gradually increased from 9.25% to 39.88%. This method not only yields quantitative conclusions but, more importantly, provides a complete and reproducible systematic experimental approach.

[0102] See Figure 5-6 The graph compares the energy conversion efficiency with distance in different directions when using a complex LCR (LCC-S type) circuit with that of a device using a simple LCR compensation circuit. Figure 5 and Figure 6 It can be seen that compared with simple LCR circuits of different types, using a complex LCR (LCC-S type) circuit, which optimizes leakage flux compensation to leakage flux and excitation inductance excitation compensation, further improves energy conversion efficiency. Simulation of the circuit using Simulink reveals that when all other parameters of the device remain consistent and are close to resonance, the complex LCR (LCC-S type) device exhibits a higher receiving coil voltage and thus higher energy conversion efficiency than the simpler LCR (SS type, PS type) devices.

[0103] See Figure 7-8 When using a complex LCR (LCC-S type) circuit, the energy conversion efficiency varies with the distance between the primary and secondary coils in different directions at different frequencies. Within a certain operating frequency range, as the loss mechanism transitions from "copper loss-dominated" to "magnetic coupling-dominated" in the optimization range, the energy conversion efficiency increases with the increase of frequency.

Claims

1. An experimental method for improving electromagnetic energy conversion efficiency based on LCR circuits, characterized in that, Includes the following steps: Step S1, constructing the basic experimental system: The system includes a signal generator (1), a transmitting module (2), a receiving module (3), a signal acquisition circuit (7), and a digital oscilloscope (8); the transmitting module includes a transmitting coil (4); the receiving module includes a receiving coil (5) and a rectifier-filter circuit (6); the output terminal of the signal generator (1) is connected to the transmitting coil (4); the voltage acquisition terminal of the signal acquisition circuit (7) is connected to both ends of the transmitting coil (4) and the output terminal of the rectifier-filter circuit, respectively, for acquiring input voltage and output voltage; the probe of the digital oscilloscope (8) is connected to both ends of the transmitting coil (4) for observing waveforms; Step S2, perform the first basic experiment: without setting up an LCR compensation circuit, use a circular ring planar disc coil as the transmitting coil (4) and receiving coil (5), set the output frequency and voltage of the signal generator (1), and measure and calculate the energy conversion rate η1 under this basic state by adjusting the relative position of the coils; Step S3, perform the second comparative experiment: while keeping other system conditions unchanged as described in step S2, replace the circular annular planar disc coil with a square annular planar disc coil, measure and calculate the energy conversion efficiency η2, and compare it with η1 to verify the effect of coil shape optimization on efficiency improvement; Step S4, perform the third advanced experiment: Based on the system described in step S3, add LCR compensation circuit 9 to the transmitter and receiver, and test the energy conversion efficiency η3 of the SS type, SP type, PS type and PP type basic compensation topologies in resonance and non-resonance states in turn, and screen out the compensation topologies that can significantly improve efficiency. Step S5, perform the fourth optimization experiment: Based on the system described in step S3, replace the basic LCR compensation circuit with an LCC-S type high-order compensation circuit, measure and calculate the energy conversion efficiency η4, and compare it with η3 to verify the further optimization effect of the high-order topology on efficiency; Step S6, perform the fifth parameter scanning experiment: In the system equipped with the LCC-S type high-order compensation circuit described in step S5, keep the relative position of the coil unchanged, scan and change the operating frequency of the signal generator (1), measure the energy conversion efficiency η5 at different frequencies, and determine the optimal operating frequency point.

2. The experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit according to claim 1, characterized in that, In steps S2, S3, S4, and S5, adjusting the relative position of the coil includes: fixing the radial offset of the coil to zero, systematically changing the axial distance of the coil, and fixing the axial distance of the coil, systematically changing the radial offset of the coil.

3. The experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit according to claim 1, characterized in that, In step S4, the resonant state is achieved by adjusting the parameters of the inductors and capacitors in the basic LCR compensation circuit to ensure the system meets the following resonance condition: For SS-type or PS-type compensation topologies, the circuit parameters satisfy the following relationship: ; Where ω is the angular frequency of the signal generator, L1 and C1 are the self-inductance of the transmitting coil and its series compensation capacitor, respectively, and L2 and C2 are the self-inductance of the receiving coil and its series compensation capacitor, respectively.

4. The experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit according to claim 1, characterized in that, In step S4, when the basic LCR compensation circuit is an SS-type or PS-type topology, it can achieve resonance and significantly improve energy conversion efficiency.

5. The experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit according to claim 1, characterized in that, In step S5, the transmitter of the LCC-S type high-order compensation circuit consists of a compensation inductor L1 and a first compensation capacitor C. p After being connected in series, it is connected in parallel with the second compensation capacitor C6 to form the primary-side compensation circuit.

6. The experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit according to claim 1, characterized in that, The energy conversion efficiency η is determined by measuring the input voltage U. i and output voltage U o And calculations and comparisons are performed based on the following relationships: ; Right now: .

7. The experimental method for improving electromagnetic energy conversion efficiency based on LCR circuit according to claim 1, characterized in that, The signal acquisition circuit (7) is based on the high-precision analog-to-digital converter ADS1256.