Wireless power transmission system based on synthetic dimension and continuous domain bound state

Abstract

The invention relates to the technical field of wireless electric energy transmission, in particular to a wireless electric energy transmission system based on a synthetic dimension and a continuous domain bound state, which comprises a transmitting end circuit, a second capacitor and a second inductor, an alternating current source access end is formed between the first inductor and the first capacitor; the receiving end circuit comprises a third inductor and a third capacitor which are connected in series, the third inductor is coupled with the second inductor to realize wireless transmission of electric energy, and a load access end is formed between the third capacitor and the third inductor; when the transmitting end circuit and the receiving end circuit are used for wireless power transmission, the system realizes a BIC mode. The transmission efficiency of the system is remarkably superior to that of a traditional PT symmetric system, lower no-load loss and better electromagnetic compatibility are shown, and the system can achieve the efficient and stable transmission advantage without depending on the PT symmetric condition.

Description

Technical Field

[0001] The present invention relates to the technical field of wireless power transmission, and in particular to a wireless power transmission system based on synthetic dimensions and continuous domain bound states. Background Art

[0002] Wireless power transfer (WPT) technology achieves efficient power transmission through electromagnetic fields and has widespread applications in electronic communications. Near-field magnetic resonance non-radiative WPT has become a research focus due to its high efficiency and excellent electromagnetic compatibility. While time-parity (PT) symmetry can improve transmission efficiency by achieving purely real eigenvalues ​​in non-Hermitian systems, it also suffers from frequency splitting in the strong coupling region, requiring active frequency modulation or nonlinearity to maintain optimal efficiency, and a sharp drop in efficiency due to complex eigenvalues ​​in the weak coupling region. Recent nonlinear schemes can track and lock the operating frequency, but they require high-power input signals and exhibit insufficient performance in the weak coupling region. Higher-order PT systems, such as third-order PT-symmetric systems, can also maintain high transmission efficiency in the weak coupling region, but the stringent gain-loss trade-offs and coupling symmetry requirements severely limit their practicality. Therefore, the development of efficient linear non-Hermitian systems that do not rely on PT symmetry is urgently needed. Summary of the Invention

[0003] The purpose of the present invention is to overcome the defects of the prior art and provide a wireless power transmission system based on synthetic dimensions and continuous domain bound states, so as to solve the problem that the practicality of the existing wireless power transmission system is restricted by the strict conditions of PT symmetry.

[0004] The technical solution to achieve the above purpose is:

[0005] The present invention provides a wireless power transmission system based on synthetic dimensions and continuous domain bound states, comprising:

[0006] A transmitter circuit includes a first inductor, a first capacitor, and a lumped capacitor connected in series, a second capacitor and a second inductor connected at both ends of the lumped capacitor, and an AC source access terminal formed between the first inductor and the first capacitor;

[0007] a receiving end circuit, comprising a third inductor and a third capacitor connected in series, wherein the third inductor is coupled to the second inductor to achieve wireless transmission of electric energy, and a load access terminal is formed between the third capacitor and the third inductor;

[0008] When wireless power transmission is performed using the transmitting circuit and the receiving circuit, the system satisfies the following equation:

[0009]

[0010] In Equation 1, g1 is the actual gain of the system, γ3 is the actual loss of the system, κ is the internal coupling strength of the transmitter circuit, κ0 is the coupling strength between the second inductor and the third inductor, ω0 is the resonant frequency of the system, and ω is the operating frequency of the system.

[0011] A further improvement of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is that the system satisfies equation 1 by adjusting the coupling distance between the second inductor and the third inductor.

[0012] A further improvement of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is that the system satisfies equation 1 by adjusting the voltage connected to the AC source access terminal.

[0013] A further improvement of the wireless power transmission system based on synthetic dimensions and continuous domain bound states of the present invention is that the receiving end circuit also includes a resistor connected in series with the third capacitor, and by replacing resistors with different resistance values, the system satisfies equation 1.

[0014] A further improvement of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is that the lumped capacitor is a capacitor with adjustable capacitance value, and by adjusting the capacitance value of the lumped capacitor, the system satisfies equation 1.

[0015] A further improvement of the wireless power transmission system based on synthetic dimensions and continuous domain bound states of the present invention is that the actual gain and actual loss of the system meet a set gain-loss ratio.

[0016] A further improvement of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is that the second inductor and the third inductor are distributed inductors.

[0017] A further improvement of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is that the first inductor is a lumped inductor.

[0018] A further improvement of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is that the operating frequency of the system is equal to the resonant frequency of the system.

[0019] The beneficial effects of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention are:

[0020] The wireless power transmission system of the present invention constructs a synthetic transmitting circuit and a receiving circuit. By satisfying the set equation 1, the system realizes the BIC (bound states in the continuum) mode and obtains a fixed operating frequency. The system has a transmission efficiency significantly better than the traditional PT symmetric system, and also exhibits lower no-load loss and better electromagnetic compatibility. The system of the present invention can achieve the advantages of efficient and stable transmission without relying on PT symmetry conditions.

[0021] The wireless power transmission system of the present invention provides a new implementation path for WPT based on synthetic dimensions and BIC, demonstrates the application potential of topological physics in the field of electronic communications, greatly broadens the application scenarios of WPT, and provides a new practical platform for efficient WPT. BRIEF DESCRIPTION OF THE DRAWINGS

[0022] Figure 1 This is a schematic structural diagram of the wireless power transmission system based on synthetic dimensions and continuous domain bound states of the present invention.

[0023] Figure 2 This is an equivalent circuit model diagram and energy level diagram of the wireless power transmission system based on synthetic dimensions and continuous domain bound states and the traditional second-order WPT system of the present invention.

[0024] Figure 3 This is a feature comparison diagram of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention and the traditional second-order WPT system.

[0025] Figure 4 This is a schematic diagram of achieving efficient WPT in the wireless power transmission system based on synthetic dimensions and continuous domain bound states of the present invention.

[0026] Figure 5 This is an experimental comparison diagram of the wireless power transmission system based on synthetic dimensions and continuous domain bound states of the present invention and the traditional second-order WPT system. DETAILED DESCRIPTION

[0027] The present invention will be further described below with reference to the accompanying drawings and specific embodiments.

[0028] See Figure 1The present invention provides a wireless power transmission system based on synthetic dimensions and continuous domain bound states. The synthetic dimensions construct the required high-order modes on a single compact physical platform by mapping circuit parameters into virtual dimensions. It not only solves the problems of large volume and difficult integration of traditional high-order WPT systems, but also provides the ability to flexibly control key system parameters. The continuous domain bound state (BIC) can be realized with the radiation channel structure through symmetric protection, destructive interference or topological constraints, and theoretically exhibits the characteristics of wireless quality (Q) factor. The BIC mode reduces the leakage of energy into free space by enhancing the control of electromagnetic waves, thereby significantly improving the energy transmission efficiency. The wireless power transmission system of the present invention constructs a wireless power transmission system of synthetic transmitting end circuit and receiving end circuit, implements the BIC mode in the system, and obtains a fixed operating frequency that is independent of gain, damage and coupling strength. The transmission efficiency of the system is significantly better than that of the traditional second-order PT symmetric system, and exhibits lower no-load loss and better electromagnetic compatibility. The wireless power transmission system based on synthetic dimensions and continuous domain bound states of the present invention is described below with reference to the accompanying drawings.

[0029] See Figure 1 , showing the structural diagram of the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention. Figure 2 , showing the equivalent circuit model diagram and energy level diagram of the wireless power transmission system based on synthetic dimension and continuous domain bound state and the traditional second-order WPT system of the present invention. Figure 1 and Figure 2 , the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention is described.

[0030] like Figure 1 and Figure 2 As shown, the wireless power transmission system based on synthetic dimension and continuous domain bound state of the present invention includes a transmitting end circuit and a receiving end circuit, such as Figure 2 As shown in (c), the transmitter circuit includes a first inductor L1, a first capacitor C1 and a lumped capacitor C0 connected in series, a second capacitor C2 and a second inductor L2 connected at both ends of the lumped capacitor C0, and an AC source access terminal formed between the first inductor L1 and the first capacitor C1;

[0031] The receiving end circuit includes a third inductor L3 and a third capacitor C3 connected in series. The third inductor L3 is coupled to the second inductor L2 to achieve wireless transmission of electric energy. A load access terminal is formed between the third capacitor C3 and the third inductor L3.

[0032] When wireless power transmission is performed using a transmitter circuit and a receiver circuit, the system satisfies the following equation:

[0033]

[0034] In Equation 1, g1 is the actual gain of the system, γ3 is the actual loss of the system, κ is the internal coupling strength of the transmitter circuit, κ0 is the coupling strength between the second inductor and the third inductor, ω0 is the resonant frequency of the system, and ω is the operating frequency of the system.

[0035] The transmitting circuit of the present invention forms a composite transmitting coil, wherein the coupling between the first inductor L1 and the second inductor L2 is determined by the lumped capacitor C0. The transmitting circuit and the receiving circuit are coupled via the mutual inductance M between the second inductor L2 and the third inductor L3.

[0036] like Figure 2 As shown in (a) in the figure, the equivalent circuit model of a traditional second-order system is shown. In a traditional second-order WPT system, the resonant frequency of the two single coils is ω0, and the near-field coupling strength κ0 between the coils depends only on their transmission distance. The single transmitting coil and the single receiving coil are coupled by the mutual inductance M between the distributed inductors L1 and L2. Two resonant modes with the same resonant frequency ω0 will couple with each other, and the near-field coupling κ0 will cause frequency splitting in the strong coupling region, which is energy level repulsion, as shown in Figure 2 As shown in (b) in the figure. At this time, the optimal operating frequency of the system will shift with the change of coupling strength (i.e., transmission distance). This frequency instability greatly restricts the transmission efficiency in practical applications. The wireless power transmission system of the present invention overcomes the frequency shift problem. The energy level change of the wireless power transmission system of the present invention is shown in Figure 2 As shown in (d), the synthesized transmitter circuit provides two detuned modes, ω0+Δ and ω0-Δ, which couple with the third mode provided by the receiver circuit. The coupling strength between the detuned mode and the resonant mode is κ ± , γ, and Δ represent the dissipative coupling and resonant frequency detuning in the synthesized transmitter circuit, respectively. It can be seen that the position of the resonant mode ω0 remains constant, a phenomenon known as energy-level pinning. This phenomenon is driven by the competition between the attractive force of dissipative coupling (i.e., imaginary coupling iγ) and the repulsive force of coherent coupling (i.e., real coupling κ) in the third-order system consisting of the synthesized transmitter and receiver circuits. This locked eigenstate can be used to implement robust WPT.

[0037] In a specific embodiment of the present invention, the coupling distance between the second inductor L2 and the third inductor L3 is adjusted so that the system satisfies Equation 1.

[0038] Specifically, adjusting the coupling distance between the second inductor L2 and the third inductor L3 actually adjusts the coupling strength κ0 between the second inductor L2 and the third inductor L3, thereby achieving the BIC mode in the system. The imaginary part of the system's characteristic frequency disappears, and a pure real characteristic mode is obtained. The relationship between the coupling strength κ0 between the second inductor L2 and the third inductor L3 and the coupling distance d is: κ0 = 19.145e7 -0.04d8 kHz.

[0039] In one embodiment of the present invention, the system satisfies Equation 1 by adjusting the voltage at the AC source input terminal. Connecting an AC source to the AC source input terminal provides power to the wireless power transmission system. Adjusting the AC source voltage effectively adjusts the system's actual gain g1, thereby achieving a BIC mode in the system. The imaginary part of the system's eigenfrequency disappears, resulting in a purely real eigenmode.

[0040] In a specific embodiment of the present invention, the receiving end circuit further includes a resistor Z connected in series with the third capacitor C3. By replacing the resistor Z with a different resistance value, the system satisfies Equation 1.

[0041] Specifically, replacing resistors of different values ​​effectively adjusts the system's actual loss γ3, thereby achieving a BIC mode in the system. The imaginary part of the system's characteristic frequency disappears, resulting in a purely real characteristic mode. In a specific embodiment, a selector switch can be provided at the receiving end circuit of the wireless power transmission system. Multiple resistors of different resistance values ​​can be set at the selector switch, allowing for convenient connection of resistors of corresponding resistance values.

[0042] In a specific embodiment of the present invention, the lumped capacitor C0 is a capacitor with an adjustable capacitance value. By adjusting the capacitance value of the lumped capacitor C0, the system satisfies Equation 1.

[0043] Specifically, adjusting the capacitance value of the lumped capacitor C0 actually adjusts the internal coupling strength κ of the transmitter circuit, thereby realizing the BIC mode in the system, the imaginary part of the system's characteristic frequency disappears, and a purely real characteristic mode is obtained.

[0044] In one embodiment of the present invention, the system can satisfy Equation 1 by adjusting any one, or two or more, of the following parameters: the coupling distance between the second inductor L2 and the third inductor L3, the voltage at the AC source input terminal, the resistor Z connected in series with the third capacitor C3, and the capacitance of the lumped capacitor C0. In other words, Equation 1 provides multiple adjustable degrees of freedom to achieve BIC.

[0045] In a specific embodiment of the present invention, the actual gain g1 and actual loss γ3 of the system satisfy a set gain-loss ratio, such as γ3=2g1, γ3=g1, γ3=0.5g1, etc.

[0046] Furthermore, the second inductor L2 and the third inductor L3 are distributed inductors.

[0047] Furthermore, the first inductor L1 is a lumped inductor.

[0048] Furthermore, the operating frequency ω of the system is equal to the resonant frequency ω0 of the system.

[0049] The principle of the present invention is described below.

[0050] For a traditional second-order system, when the input signal is s 1+ =S 1+ e -iωt , Figure 2 The dynamic equation of the system shown in (a) can be expressed as:

[0051]

[0052] In Equation 1, g1 represents the gain between the signal source and the transmitting coil, γ2 represents the loss between the load and the receiving coil, Γ1 and Γ2 represent the harmonic mode a in a single transmitting coil and a single receiving coil, respectively. n =A n e -iωt The intrinsic loss of the power transmission efficiency can be expressed as η = |S 2- / S 1+ | 2 , where the output wave corresponds to Considering zero reflection wave The power transmission efficiency of the second-order WPT system can be simplified as:

[0053]

[0054] When Γ1=Γ2=Γ=0, the effective Hamiltonian H of the system is The characteristic value of the system can be obtained by solving the characteristic equation, that is, For balanced gains and losses g1 = γ2 = γ0, the system satisfies (PT)H(PT) -1 =H, which is a method to realize the purely real eigenvalue of the system. The eigenvalue can be described as When κ = γ0, the two eigenvalues ​​collapse at EP, such as Figure 3 However, the real eigenvalues ​​of a second-order system with PT symmetry can only be realized under strong coupling conditions.

[0055] The dynamic equation of the WPT system of the present invention can be written as:

[0056]

[0057] In formula 3, γ j and Γj (j=+, -, 0) represent the harmonic mode a n =A n e -iωt Dissipative loss and radiation loss. ± is the near-field coupling coefficient between the transmitter circuit and the receiver circuit. and They represent the external incident waves of the detuned mode of the transmitter circuit, considering the zero reflection wave The dynamic characteristics of the system can be expressed as At this time, the Hamiltonian equation of the WPT system of the present invention can be written as follows:

[0058]

[0059] Convert to appropriate units Down, and a3=a0, Equation 4 can be transformed into:

[0060]

[0061] Here, Δ=κ, γ=g1 / 2、γ0=γ3 means that the effective Hamiltonian of the WPT system with the synthetic transmitter circuit can be expressed as:

[0062]

[0063] Where κ is the internal coupling strength of the transmitter circuit, κ0 is the coupling between the transmitter circuit and the receiver circuit, and g1 and γ3 are the actual gain and loss. From the eigenvalue solution of Equation 6, a new method for achieving pure real eigenvalues, namely BIC, is introduced. When the equation satisfies Then the imaginary part of the eigenfrequency disappears, and a pure real eigenmode can be obtained. The conditions for a pure real mode can be summarized into the following two categories:

[0064]

[0065] Equation 7 shows that a third-order system has two real eigenfrequencies that vary with gain or loss and coupling strength, leading to low WPT system stability. In contrast, according to Equation 8, a pure real mode can be obtained that is independent of gain or loss and coupling strength. Here, BIC can be achieved by adjusting multiple adjustable degrees of freedom, demonstrating that strict PT symmetry is not a prerequisite for pure real modes. Figure 3 (b) is a schematic diagram of the real and imaginary parts of a third-order system. There is a fixed operating frequency corresponding to the imaginary part being zero, which means that at ω = ω 0. According to Formula 6, the dynamic equation of the WPT system of the present invention can be expressed as:

[0066]

[0067] Combined output wave The transmission efficiency of a system ω = ω0 with actual intrinsic loss Γ1 = Γ2 = Γ3 = Γ≠0 can be described as:

[0068]

[0069] At the same time, electromagnetic compatibility is another key technical challenge of WPT. The BIC-assisted third-order WPT system based on the synthetic transmitter circuit can suppress the magnetic field concentration around the transmitter and minimize the leakage magnetic field, thereby ensuring better electromagnetic compatibility. The characteristic state distribution of the second-order system and the third-order system at the operating frequency is as follows: Figure 3 As shown in (d) in the figure. In the strong coupling region, the traditional second-order WPT system has a frequency of ω = ω + The red cylinder is drawn for the third-order system, while the blue cylinder is shown in the front. It can be seen that the BIC-assisted third-order WPT system exhibits dark mode behavior in the synthetic transmitter circuit when the operating frequency is ω0. The BIC-assisted high-efficiency WPT mechanism in the third-order system has wide applicability in different charging scenarios.

[0070] Figure 4 (a) to (f) show the characteristic frequencies (real and imaginary parts) of the third-order WPT system as a function of the transmission distance at different gain-loss ratios (i.e., γ3 = 2g1, γ3 = g1, and γ3 = 0.5g1). The green dots plot the BIC with zero imaginary part and a fixed real part. Figure 4 As shown by the blue lines in (d) to (f), assuming κ = 1.5g1, g1 = 5.4kHz, BIC occurs at a specific transmission distance, satisfying corresponds to maximum efficiency. Figure 4 The results in

[15] show that BIC can be achieved by flexibly adjusting the gain, loss, and coupling strength without the need for strict PT symmetry. Here, g1 and κ are fixed while γ3 and κ0 are adjusted, but in fact the system allows arbitrary adjustment of the parameters as long as they satisfy the equation

[0071] The experiments of the present invention are described below.

[0072] The experimental principle diagram of the WPT system of the present invention is as follows: Figure 5 As shown in (a) of the figure, the illustration shows the lumped electronic component part of the synthetic transmitter circuit. The second inductor L2 and the third inductor L3 are distributed inductors wound by Litz wire, while the first inductor L1 is a lumped inductor and the capacitor C i (i=0, 1, 2) is the lumped capacitance, and the equivalent circuit model of the synthesized third-order WPT system is as follows: Figure 2As shown in (c) in Figure 1. Considering L1=L2=L3=L, C1=C2 and C=C0C1 / C0+C1, ​​the circuit equation of the synthetic BIC-assisted third-order WPT system can be obtained as:

[0073]

[0074] According to Equation 6, g1 = Z / 2L, γ3 = R / 2L, and κ = 1 / 2ωC0L. When the system operates at a fixed frequency ω0, κ can be rewritten as κ = ω0C / C0. In the experiment, L = 737μH, C1 = 5.1nF, C = 4.57nF, and Z = 50Ω were set. The signal was input from the "+" and "-" on the left side of the circuit board, as shown in the figure. Figure 5 As shown in (a). Here, the radius of the distributed inductor coil is R = 30 cm. In the near-field coupling mechanism, the coupling strength between a single transmitting coil and a single receiving coil decreases exponentially with increasing distance. When the characteristic frequency is selected as 86.5 kHz, as shown in Figure 4 (b) shows that it is independent of gain, loss and coupling.

[0075] Here, a real power signal source (AG1006, source impedance 50Ω) is used to demonstrate a BIC-assisted third-order WPT system based on a synthetic transmitter circuit. The receiver circuit is equipped with a 3W LED light to visualize the transmission efficiency during the experiment. In both the second-order PT symmetric system and the BIC-assisted third-order system, the power signal source input at the operating frequency is 5W, and the distance is d = 51cm. Figure 5 In (b), the LED in the three-order system (CT-SR) can light up, while the LED in the second-order system (ST-SR) remains dark. Figure 5 (c) shows the transmission efficiency when the transmission distance is longer. At the same transmission distance, the calculated transmission efficiency of the second-order system and the third-order system are given by the purple dotted line and the green solid line, respectively. The experimental transmission efficiency here is measured by a differential voltage probe (DVP, ETA5010) and is represented by the symbol. It can be clearly seen that at the same transmission distance, when the system operates at a fixed operating frequency ω0, the efficiency of the BIC-assisted third-order WPT system based on the synthetic transmitter circuit is better than that of the second-order PT symmetric WPT system. It is worth noting that in the strong coupling region, the efficiency of the third-order system is slightly lower than that of the second-order system, which is due to the slightly higher intrinsic loss of the third-order system. The BIC-assisted third-order WPT system relaxes the strict symmetry requirements and realizes flexible parameter adjustment. Then, the idle power loss of the two WPT schemes in the state without a receiving coil is evaluated, as shown in Figure 2. Figure 5As shown in (d), C0 = 22nF, C1 = 5.8nF, and C = 4.59nF. The calculated and measured idle power losses of the conventional (optimized) WPT system based on ST-SR (CT-SR) are indicated by the purple dashed line (green solid line) and purple (green) symbols, respectively. Compared with the conventional theoretical case, the optimized WPT system significantly reduces idle power loss near the operating frequency, which is beneficial for intermittent wireless charging and energy conservation in practical applications.

[0076] The present invention has been described in detail above with reference to the embodiments of the accompanying drawings. A person skilled in the art can make various modifications to the present invention based on the above description. Therefore, certain details in the embodiments should not be construed as limiting the present invention. The scope of protection of the present invention shall be determined by the scope defined in the appended claims.

Claims

1. A wireless power transmission system based on synthetic dimensions and continuous domain bound states, characterized in that: include: A transmitter circuit includes a first inductor, a first capacitor, and a lumped capacitor connected in series, a second capacitor and a second inductor connected at both ends of the lumped capacitor, and an AC source access terminal formed between the first inductor and the first capacitor; a receiving end circuit, comprising a third inductor and a third capacitor connected in series, wherein the third inductor is coupled to the second inductor to achieve wireless transmission of electric energy, and a load access terminal is formed between the third capacitor and the third inductor; When wireless power transmission is performed using the transmitting circuit and the receiving circuit, the system satisfies the following equation: In Equation 1, g1 is the actual gain of the system, γ3 is the actual loss of the system, κ is the internal coupling strength of the transmitter circuit, κ0 is the coupling strength between the second inductor and the third inductor, ω0 is the resonant frequency of the system, and ω is the operating frequency of the system.

2. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: By adjusting the coupling distance between the second inductor and the third inductor, the system satisfies the equation 1.

3. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: By adjusting the voltage connected to the AC source input terminal, the system is made to satisfy equation 1.

4. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: The receiving end circuit further includes a resistor connected in series with the third capacitor. By replacing the resistors with different resistance values, the system satisfies equation 1.

5. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: The lumped capacitor is a capacitor with an adjustable capacitance value. By adjusting the capacitance value of the lumped capacitor, the system satisfies the equation 1.

6. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: The actual gain and actual loss of the system meet the set gain-loss ratio.

7. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: The second inductor and the third inductor are distributed inductors.

8. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: The first inductor is a lumped inductor.

9. The wireless power transmission system based on synthetic dimension and continuous domain bound state according to claim 1, characterized in that: The operating frequency of the system is equal to the resonant frequency of the system.

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