Method and system for realizing frequency tuning of super-structure inductance coil

Abstract

The invention relates to the technical field of inductance coils, and discloses a method and system for realizing frequency tuning of a super-structure inductance coil, and the method comprises the steps: configuring a tuning element of the super-structure inductance coil, firstly collecting the impedance spectrum data of a resonance unit, and dividing a core resonance frequency band; and identifying resonance characteristic points to position a detuning interval, and calculating a phase fluctuation quantity in the interval to determine a frequency compensation level. And calculating a detuning performance value based on the level, generating a tuning instruction set in combination with a current circuit working frequency point, driving a control unit to obtain a bias voltage pair, further determining a current-carrying distribution parameter and a corresponding capacitance modulation index, generating a dynamic tuning chain based on the modulation index, extracting impedance matching logic of the dynamic tuning chain, and finally formulating a frequency tuning scheme of the superstructure inductance coil. According to the invention, the frequency tuning capability of the super-structure inductance coil in a broadband multi-mode scene can be improved.

Description

Technical Field

[0001] This invention relates to a method and system for frequency tuning of a meta-inductor coil, belonging to the field of inductor coil technology. Background Technology

[0002] Meta-inductors, as core components in radio frequency integrated circuits, play a crucial role in multi-band communication and high-frequency systems. Through special structures, they can achieve high inductance and quality factor performance that traditional inductors cannot reach.

[0003] Currently, frequency tuning of metainductor coils often employs fixed matching networks or tuning methods based on static models. For example, by pre-setting capacitor arrays or manually adjusting external bias points, a portion of the operating frequency band can be covered. However, these methods are difficult to respond in real time to the actual resonant behavior of the coil under dynamic operating conditions—such as impedance characteristic drift caused by temperature, process deviations, or circuit coupling. This results in insufficient tuning accuracy, frequency band mismatch, and decreased system efficiency, limiting the performance adaptability of metainductors in wideband multimode scenarios. Summary of the Invention

[0004] This invention provides a method and system for frequency tuning of metainductors, the main purpose of which is to improve the frequency tuning capability of metainductors in wideband multimode scenarios.

[0005] To achieve the above objectives, the present invention provides a method for frequency tuning of a meta-inductor coil, comprising: Configure a tuning element corresponding to the superstructure inductor coil. The tuning element includes a resonant unit and a control unit. Acquire impedance spectrum data corresponding to the resonant unit and divide the core resonant frequency band in the impedance spectrum data. Identify the resonant feature points in the core resonant frequency band, locate the detuning interval corresponding to the meta-inductor coil based on the resonant feature points, calculate the phase fluctuation amount in the detuning interval, and determine the frequency compensation level corresponding to the resonant unit based on the phase fluctuation amount. Based on the frequency compensation level, calculate the detuning performance value corresponding to the meta-inductor coil. Based on the detuning performance value and the current operating frequency of the circuit, generate a tuning instruction set for the meta-inductor coil regarding frequency detuning. Based on the tuning instruction set, the control unit is driven collaboratively to obtain a bias voltage pair. Based on the bias voltage pair, the current distribution parameters corresponding to the control unit are determined, and the capacitance modulation index corresponding to the current distribution parameters is analyzed. Based on the capacitor modulation index, a dynamic tuning chain corresponding to the tuning element is generated, the impedance matching logic corresponding to the dynamic tuning chain is extracted, and based on the impedance matching logic, a frequency tuning scheme corresponding to the meta-inductor coil is formulated.

[0006] Optionally, locating the detuning interval corresponding to the meta-inductor coil based on the resonant feature point includes: Analyze the resonant center frequency corresponding to the resonant characteristic point; Based on the resonant center frequency, a frequency detection range corresponding to the superstructure inductor coil is generated; Measure the impedance phase sequence within the frequency detection range; Identify the phase jump segments in the impedance phase sequence; Based on the phase jump segment, the detuning interval corresponding to the superstructure inductor coil is located.

[0007] Optionally, generating the frequency detection range corresponding to the meta-inductor coil based on the resonant center frequency includes: Analyze the center frequency value corresponding to the resonant center frequency; Analyze the frequency offset range corresponding to the center frequency value; Detect the upper and lower limit frequencies corresponding to the frequency offset range; Based on the upper and lower limit frequencies, the detection sub-intervals within the frequency offset range are divided; Based on the probe sub-interval, the frequency probe interval corresponding to the meta-inductor coil is generated.

[0008] Optionally, generating the dynamic tuning chain corresponding to the tuning element based on the capacitor modulation index includes: Based on the capacitor modulation index, the control voltage level corresponding to the control unit is matched; Based on the control voltage level, analyze the unit drive sequence corresponding to the control unit; Based on the driving sequence of the units, the resonant frequency response data of the resonant units are collected; Identify the key frequency response points in the resonant frequency response data; Based on the key frequency response points, a dynamic tuning chain corresponding to the tuning element is generated.

[0009] Optionally, the step of analyzing the unit drive sequence corresponding to the control unit based on the control voltage level includes: Read the value corresponding to the control voltage level; Based on the gear position value, analyze the unit response value corresponding to the control unit; Based on the unit response value, the drive priority corresponding to the control unit is determined; Analyze the driver activation sequence corresponding to the driver priority; Based on the drive activation sequence, the unit drive order corresponding to the control unit is analyzed.

[0010] Optionally, calculating the detuning performance value corresponding to the meta-inductor coil based on the frequency compensation level includes: Analyze the compensation index corresponding to the frequency compensation level; Determine the phase change value corresponding to the compensation index; Based on the phase change value, analyze the impedance change in the superstructure inductor coil; Based on the impedance change, the frequency offset value of the meta-inductor coil is determined; Based on the frequency offset value, the detuning performance value corresponding to the meta-inductor coil is calculated using the following formula: ; This indicates the number of resonant modes corresponding to the meta-inductor coil. Indicates the index of the number of resonant modes. The frequency offset value corresponding to each resonant mode Represents the phase weighting coefficient. Phase fluctuation of each resonant mode.

[0011] Optionally, the step of dividing the core resonant frequency band in the impedance spectrum data includes: Obtain the impedance amplitude sequence corresponding to the impedance spectrum data; Locate the resonant peak poles in the impedance amplitude sequence; Select the adjacent frequency points corresponding to the extreme points of the resonance peak; Calculate the impedance amplitude slope corresponding to the adjacent frequency points; Based on the impedance amplitude slope, the resonant frequency band boundary corresponding to the impedance spectrum data is determined; Based on the boundary of the resonant frequency band, the core resonant frequency band in the impedance spectrum data is divided.

[0012] Optionally, determining the frequency compensation level corresponding to the resonant unit based on the phase fluctuation includes: Detect the fluctuation range corresponding to the phase fluctuation amount; Identify the fluctuation amplitude within the fluctuation range; Based on the fluctuation amplitude, determine the degree of detuning of the resonant unit; Based on the degree of detuning, the reference compensation amount corresponding to the resonant unit is analyzed; Based on the reference compensation amount, the frequency compensation level corresponding to the resonant unit is determined.

[0013] Optionally, the step of coordinating the control unit based on the tuning instruction set to obtain a bias voltage pair includes: Extract the tuning instructions from the tuning instruction set; Based on the tuning command, the unit drive sequence corresponding to the control unit is acquired; Based on the unit drive sequence, analyze the initial value of the voltage pair corresponding to the control unit; Based on the initial value of the voltage pair, adjust the voltage output of the control unit accordingly; Based on the voltage output, the control unit is driven in a coordinated manner to obtain a bias voltage pair.

[0014] To address the aforementioned problems, the present invention also provides a system for implementing frequency tuning of a meta-inductor coil, the system comprising: The frequency band division module is used to configure the tuning element corresponding to the superstructure inductor coil. The tuning element includes a resonant unit and a control unit. The module collects the impedance spectrum data corresponding to the resonant unit and divides the core resonant frequency band in the impedance spectrum data. The frequency compensation module is used to identify the resonant feature points in the core resonant frequency band, locate the detuning interval corresponding to the meta-inductor coil based on the resonant feature points, calculate the phase fluctuation amount in the detuning interval, and determine the frequency compensation level corresponding to the resonant unit based on the phase fluctuation amount. The tuning instruction module is used to calculate the detuning performance value corresponding to the meta-inductor coil based on the frequency compensation level, and generate a tuning instruction set for the meta-inductor coil with respect to frequency detuning based on the detuning performance value and the current operating frequency of the circuit. The modulation index module is used to coordinately drive the control unit based on the tuning instruction set to obtain a bias voltage pair, determine the current distribution parameter corresponding to the control unit based on the bias voltage pair, and analyze the capacitance modulation index corresponding to the current distribution parameter. The scheme formulation module is used to generate a dynamic tuning chain corresponding to the tuning element based on the capacitor modulation index, extract the impedance matching logic corresponding to the dynamic tuning chain, and formulate a frequency tuning scheme corresponding to the meta-inductor coil based on the impedance matching logic.

[0015] Compared to the problems described in the background art, this invention, by configuring the tuning element corresponding to the metainductor coil, can respond in real time to the impedance characteristic changes of the coil under dynamic operating conditions, avoiding tuning lag caused by external factors; it can accurately capture resonance characteristics and locate the detuning interval, improving the accuracy of frequency tuning and reducing frequency band mismatch; it also lays the foundation for subsequent generation of dynamic tuning schemes, ensuring stable and efficient system operation. This invention, by identifying resonance characteristic points in the core resonance frequency band, can accurately capture key information about the resonance state of the metainductor coil, providing a clear data base for subsequent detuning interval location, avoiding detuning judgments from deviating from the core resonance range of the coil, ensuring that the tuning direction conforms to actual resonance requirements, and guaranteeing stable system adaptation in wideband scenarios. Furthermore, this invention calculates the metainductor coil based on the frequency compensation level. The corresponding detuning performance value allows for precise matching of the detuning performance assessment with the actual state after compensation. It quantifies the degree of detuning improvement to intuitively judge the tuning effect, thereby ensuring the stability and reliability of the coil's resonant performance. Furthermore, based on the tuning instruction set, this invention provides coordinated driving to the control unit to obtain bias voltage pairs. This enables precise synchronization of the actions of each module in the control unit, ensuring the consistency and coordination of tuning operations and providing crucial support for maintaining stable performance of the circuit at the corresponding frequency. Finally, based on the capacitor modulation index, this invention generates a dynamic tuning chain corresponding to the tuning element. This allows the tuning steps to precisely match the actual performance of capacitor modulation, avoiding a disconnect between tuning actions and element characteristics. This ensures a stable and controllable transition of the tuning element from detuning to resonance, providing continuous operational support for the metainductor coil to maintain its ideal resonant state. Therefore, the frequency tuning method and system for metainductor coils provided by this invention can improve the frequency tuning capability of metainductor coils in wideband multimode scenarios. Attached Figure Description

[0016] Figure 1 This is a flowchart illustrating a method for frequency tuning of a meta-inductor coil according to an embodiment of the present invention. Figure 2 This is a schematic diagram of a module for implementing a meta-inductor coil frequency tuning system according to an embodiment of the present invention.

[0017] The objectives, features, and advantages of this invention will be further explained in conjunction with the embodiments and with reference to the accompanying drawings. Detailed Implementation

[0018] It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.

[0019] This application provides a method for tuning the frequency of a metainductor coil. The executing entity for this method includes, but is not limited to, at least one of the following electronic devices that can be configured to execute the method provided in this application: a server, a terminal, etc. In other words, the method for tuning the frequency of a metainductor coil can be executed by software or hardware installed on a terminal device or a server device. The server includes, but is not limited to, a single server, a server cluster, a cloud server, or a cloud server cluster.

[0020] Reference Figure 1 The diagram shown is a flowchart illustrating a method for frequency tuning of a metainductor coil according to an embodiment of the present invention. In this embodiment, the method for frequency tuning of a metainductor coil includes: S1. Configure the tuning element corresponding to the superstructure inductor coil. The tuning element includes a resonant unit and a control unit. Collect the impedance spectrum data corresponding to the resonant unit and divide the core resonant frequency band in the impedance spectrum data.

[0021] This invention, by configuring tuning elements corresponding to the meta-inductor coil, can respond in real time to changes in impedance characteristics under dynamic operating conditions of the coil, avoiding tuning lag caused by external factors; it can accurately capture resonance characteristics and locate the detuning range, improving the accuracy of frequency tuning and reducing frequency band mismatch; it can also lay the foundation for the subsequent generation of dynamic tuning schemes, ensuring stable and efficient operation of the system.

[0022] The meta-inductor coil refers to a core component in radio frequency integrated circuits. Through artificial structural design, it overcomes the limitations of traditional inductor performance, achieving high inductance, high quality factor, and low loss characteristics. It adapts to the needs of multi-band communication and high-frequency systems. Its structure can specifically optimize electromagnetic response. For example, a coil based on interdigital meta-cells can enhance magnetic field coupling within a limited space, reduce the impact of process deviations on performance, and suppress external interference through structural design, providing support for stable operation of high-frequency circuits and meeting the performance adaptation requirements of wideband multi-mode scenarios. It is a key component for improving the overall efficiency of high-frequency systems. The tuning element refers to a key component for frequency tuning of the meta-inductor coil, including a resonant unit and a control unit. These two work together to complete the tuning function. For example, a resonant unit including a variable capacitor array and a control unit including a voltage drive module can improve tuning accuracy, reduce frequency band mismatch, and ensure stable and efficient operation of the system in wideband scenarios. Optionally, the tuning element corresponding to the configuration of the meta-inductor coil can be implemented using an electromagnetic-circuit co-simulation method, such as using Keysight. ADS software is used to build a co-simulation platform that includes a meta-inductor physical model and a variable capacitor network, thereby obtaining the tuning element.

[0023] Specifically, the tuning element includes a resonant unit and a control unit. The resonant unit is the core component of the tuning element responsible for data acquisition and resonant frequency band analysis. Its main function is to acquire the impedance spectrum data of the metainductor coil, divide the core resonant frequency band, and accurately identify the resonant characteristic points within the frequency band. It can capture the impedance characteristic drift of the coil during dynamic operation in real time. For example, a variable capacitor array resonant unit with an integrated impedance sensor can provide a precise data foundation for the entire tuning process by real-time feedback of impedance changes, thus improving the timeliness of the response to the coil's resonant state. The control unit is the core component of the tuning element responsible for instruction execution and parameter adjustment. Its main function is to receive the tuning instruction set generated based on the detuning performance value and generate corresponding bias voltage pairs through collaborative driving. For example, a voltage-driven modular control unit can accurately output bias voltage to adjust the current-carrying state of the internal circuit, ensuring the effective implementation of impedance matching logic, achieving accurate correction of the metainductor coil frequency, reducing frequency band mismatch, and ensuring stable and efficient operation of the system in a wideband scenario.

[0024] Furthermore, by collecting the impedance spectrum data corresponding to the resonant unit, the present invention can provide direct data support for accurately dividing the core resonant frequency band. At the same time, it can capture the impedance characteristic drift of the coil caused by external factors during dynamic operation in real time, breaking the limitation of traditional static tuning that cannot respond to real-time changes, and ensuring the timeliness of tuning.

[0025] The impedance spectrum data refers to a dataset reflecting the impedance characteristics of the meta-inductor coil at different operating frequencies. It includes continuous information on the coil impedance amplitude and phase changes with frequency, serving as the core data foundation for subsequent tuning operations. This type of data typically covers the full frequency dimension information within the coil's operating frequency band, such as impedance variation curves from hundreds of megahertz to several gigahertz. It can directly support the location of the detuning interval and the calculation of phase fluctuations, ensuring that tuning decisions are based on the actual operating state of the coil and avoiding tuning deviations caused by static data. Optionally, the acquisition of the impedance spectrum data corresponding to the resonant unit can be achieved through a vector network analyzer measurement method, such as using a Keysight E5062B vector network analyzer to perform S-parameter scanning measurements within the target frequency band to obtain the impedance spectrum data.

[0026] Furthermore, by dividing the core resonant frequency band in the impedance spectrum data, the present invention can focus on the frequency range in which the meta-inductor coil actually works effectively, eliminate interference from irrelevant frequency band data, and make subsequent identification of resonant feature points more targeted, avoiding misjudgment of feature points due to an excessively wide data range.

[0027] The core resonant frequency band refers to the frequency range within the defined resonant frequency band boundary where the superstructure inductor coil can operate effectively and stably exhibit resonant characteristics. This frequency band is a frequency range that is further selected from the resonant region and is highly matched with the core functional requirements of the coil, excluding edge frequency regions with unstable impedance characteristics that may exist within the resonant frequency band.

[0028] As an embodiment of the present invention, the step of dividing the core resonant frequency band in the impedance spectrum data includes: obtaining the impedance amplitude sequence corresponding to the impedance spectrum data; locating the resonant peak poles in the impedance amplitude sequence; selecting the adjacent frequency points corresponding to the resonant peak poles; calculating the impedance amplitude slope corresponding to the adjacent frequency points; determining the resonant frequency band boundary corresponding to the impedance spectrum data based on the impedance amplitude slope; and dividing the core resonant frequency band in the impedance spectrum data based on the resonant frequency band boundary.

[0029] The impedance amplitude sequence refers to the set of impedance amplitudes extracted from impedance spectrum data and arranged in ascending or descending order of frequency. It contains impedance amplitude information of the metainductor coil at different frequencies and serves as the fundamental data carrier for dividing the core resonant frequency band. It fully reflects the continuous trend of coil impedance amplitude changes with frequency, ensuring that the entire core resonant frequency band division process is based on complete and orderly impedance characteristic data. The resonant peak and pole refer to the key points in the impedance amplitude sequence that embody the resonant characteristics of the metainductor coil. These are typically the frequency points corresponding to the maximum or minimum impedance amplitude values. These points are a direct reflection of the coil's resonant behavior and can accurately identify the frequency positions where significant changes in impedance characteristics occur, serving as the core basis for selecting adjacent frequency points. Adjacent frequency points refer to the frequency points directly adjacent to the located resonant peak and pole points on the frequency axis. The frequency interval between these frequency points and the resonant peak and pole points is usually maintained at a certain value. The impedance amplitude slope refers to the ratio of the difference in impedance amplitude between adjacent frequency points to the frequency difference, based on the impedance amplitude corresponding to the selected adjacent frequency points. This parameter reflects the rate of change of impedance amplitude with frequency. It can intuitively reflect the trend of impedance amplitude change around the resonant peak extreme point and is a key indicator for judging the range of the resonant region. When the slope changes from positive to negative or from negative to positive, it often corresponds to the boundary change of the resonant characteristics, ensuring that the boundary of the resonant frequency band does not deviate from the actual resonant range of the coil. The resonant frequency band boundary refers to the frequency boundary that divides the resonant region and non-resonant region of the meta-inductor coil, determined according to the change characteristics of the impedance amplitude slope. It includes the starting frequency point and the ending frequency point of the resonant region. The determination of this boundary needs to be based on the significant change of the impedance amplitude slope to ensure that the frequency range in which the impedance characteristics reflect the resonant behavior can be accurately delineated, so as to eliminate the interference of the non-resonant frequency region.

[0030] Furthermore, the acquisition of the impedance amplitude sequence corresponding to the impedance spectrum data can be achieved through numerical extraction and sorting algorithms, such as: calculating and deriving the impedance magnitude sequence that varies with frequency from the S11 parameters measured by a vector network analyzer using a MATLAB script, thereby obtaining the impedance amplitude sequence; the location of the resonant peak poles in the impedance amplitude sequence can be achieved through local maximum detection algorithms, such as: using a peak finding algorithm based on first-order difference sign change to identify the maximum points in the impedance amplitude sequence, thereby obtaining the resonant peak poles; the selection of adjacent frequency points corresponding to the resonant peak poles can be achieved through a frequency axis neighborhood search algorithm, such as: symmetrically selecting two frequency points at a fixed frequency interval on both sides of the resonant peak poles on the frequency axis, thereby obtaining adjacent frequency points; The calculation of the impedance amplitude slope corresponding to the adjacent frequency points can be achieved through a linear interpolation derivative algorithm, such as: calculating the approximate first derivative within the frequency band based on the ratio of the impedance amplitude difference to the frequency difference between two adjacent frequency points, thereby obtaining the impedance amplitude slope; the determination of the resonant frequency band boundary corresponding to the impedance spectrum data can be achieved through a threshold determination algorithm, such as: determining the frequency point where the impedance amplitude drops to 3dB of the peak value as the boundary frequency point of the resonant mode, thereby obtaining the resonant frequency band boundary; the division of the core resonant frequency band in the impedance spectrum data can be achieved through a main resonant mode identification algorithm, such as: comparing the quality factor and amplitude of each resonant peak, determining the frequency band corresponding to the resonant mode with the highest quality factor and the largest amplitude as the core resonant frequency band, thereby obtaining the core resonant frequency band.

[0031] S2. Identify the resonant feature points in the core resonant frequency band, locate the detuning interval corresponding to the meta-inductor coil based on the resonant feature points, calculate the phase fluctuation amount in the detuning interval, and determine the frequency compensation level corresponding to the resonant unit based on the phase fluctuation amount.

[0032] This invention can accurately capture key information about the resonant state of the meta-inductor coil by identifying resonant feature points in the core resonant frequency band, providing a clear data base for subsequent location of the detuning interval, avoiding detuning judgment from deviating from the core resonant range of the coil, ensuring that the tuning direction conforms to the actual resonant requirements, and guaranteeing the stable adaptation of the system in broadband scenarios.

[0033] The resonant characteristic points refer to key frequency points within the core resonant frequency band that accurately reflect the essential characteristics of the superstructure inductor coil's resonance. They centrally embody the core change patterns of the coil's impedance and phase during resonance. These typically include frequency points where the impedance amplitude reaches its maximum or minimum value, frequency points where the phase undergoes a significant abrupt change, and points where the impedance characteristics show a clear inflection point with the rate of change of frequency. Optionally, the identification of resonant characteristic points within the core resonant frequency band can be achieved through a multi-parameter extreme value joint identification algorithm. For example, by jointly analyzing the maximum impedance amplitude and the zero-crossing point of the phase within the core resonant frequency band, the resonant point and the anti-resonant point can be determined, thereby obtaining the resonant characteristic points.

[0034] Furthermore, based on the resonant feature point, the present invention locates the detuning range corresponding to the meta-inductor coil, which can accurately lock the frequency range of the coil deviating from the normal resonant state, avoid the core problem of subsequent tuning operation deviating due to ambiguity in the judgment of the detuning range, ensure that the tuning direction is highly consistent with the actual detuning situation, and help improve the overall frequency adaptability of the system.

[0035] The detuning range refers to the specific frequency range in which the superstructure inductor deviates from its normal resonance state, determined by the phase jump segment in the impedance phase sequence. This range precisely delineates the frequency range in which the coil resonates abnormally due to factors such as temperature, process deviation, or circuit coupling, laying the foundation for generating accurate tuning instruction sets and tuning schemes, and ensuring that the system can effectively correct detuning problems.

[0036] As an embodiment of the present invention, the step of locating the detuning interval corresponding to the meta-inductor coil based on the resonant feature point includes: analyzing the resonant center frequency corresponding to the resonant feature point; generating a frequency probing interval corresponding to the meta-inductor coil based on the resonant center frequency; measuring the impedance phase sequence within the frequency probing interval; identifying the phase jump segment in the impedance phase sequence; and locating the detuning interval corresponding to the meta-inductor coil based on the phase jump segment.

[0037] The resonant center frequency refers to the core frequency value of the metainductor coil when it is in normal resonance state, which is resolved from the resonant characteristic point. It is the reference frequency reflecting the ideal resonance performance of the coil and directly determines whether the coverage of the frequency detection interval is reasonable. It avoids the detection interval from deviating from the core resonance range of the coil and ensures that the impedance phase sequence measured later can effectively capture the detuning signal. It is an important initial reference for locating the detuning interval. The frequency detection interval refers to the complete frequency range covering all potential detuning regions of the metainductor coil, which is formed by integrating all the divided detection sub-intervals. This interval is centered on the center frequency value and is a key prerequisite for locating the detuning interval. The impedance phase sequence refers to the collection of impedance phase data of the metainductor coil measured in ascending or descending order of frequency within the frequency detection range. It completely records the impedance phase changes corresponding to different frequencies within the detection range, and can intuitively reflect the phase characteristics of the coil within this range. It is the core data carrier for identifying phase jump segments. The phase jump segment refers to the continuous frequency segment in the impedance phase sequence where the impedance phase value changes significantly and rapidly. It is usually characterized by a phase change rate that is much higher than that of adjacent frequency segments. It is a direct phase manifestation of the metainductor coil deviating from the normal resonance state. Detuning will cause abnormal phase characteristics of the coil, thus forming rapid phase fluctuations.

[0038] Furthermore, the analysis of the resonant center frequency corresponding to the resonant feature point can be achieved through a curve fitting and differentiation algorithm, such as: performing Gaussian fitting on the impedance phase curve of the neighborhood of the resonant feature point and solving for the frequency corresponding to the point where its first derivative is zero, thereby obtaining the resonant center frequency; the generation of the frequency detection interval corresponding to the meta-inductor coil can be achieved through a bandwidth extension algorithm, such as: symmetrically extending a fixed percentage bandwidth to both sides of the resonant center frequency to form a detection range, thereby obtaining the frequency detection interval; the measurement of the impedance phase sequence within the frequency detection interval can be achieved through high-precision phase demodulation technology, such as: The phase measurement function of a vector network analyzer is used to obtain a data sequence of phase changes with frequency by scanning at high density frequency points, thereby obtaining an impedance phase sequence. The identification of phase jump segments in the impedance phase sequence can be achieved by a sliding window variance calculation algorithm, such as calculating the variance of the phase sequence within the sliding window and identifying segments with variances exceeding a set threshold as phase jump segments, thereby obtaining phase jump segments. The location of the detuning interval corresponding to the meta-inductor coil can be achieved by a phase change boundary location algorithm, such as defining the two frequency points with the largest phase change rate in the phase jump segment as the boundary of the detuning interval, thereby obtaining the detuning interval.

[0039] In detail, as another embodiment of the present invention, generating the frequency probing interval corresponding to the meta-inductor coil based on the resonant center frequency includes: analyzing the center frequency value corresponding to the resonant center frequency; analyzing the frequency offset range corresponding to the center frequency value; detecting the upper and lower limit frequencies corresponding to the frequency offset range; dividing the probing sub-intervals in the frequency offset range according to the upper and lower limit frequencies; and generating the frequency probing interval corresponding to the meta-inductor coil based on the probing sub-intervals.

[0040] The center frequency value refers to the specific frequency value of the meta-inductor coil in an ideal resonant state, which is resolved from the resonant center frequency. It is a benchmark quantitative indicator reflecting the core resonant performance of the coil. The accuracy of its value directly determines the rationality of the subsequent frequency offset range analysis, avoiding deviation of the probe range from the true resonant frequency due to benchmark ambiguity. It is the primary basis for generating an accurate frequency probe range. The frequency offset range refers to the frequency fluctuation range in which the coil may experience detuning, determined based on the center frequency value and combined with detuning factors such as temperature fluctuations, process deviations, and circuit coupling that the meta-inductor coil may face. This range expands outward from the center frequency value, covering frequency changes under all potential detuning scenarios. However, it is also necessary to avoid over-expansion that could lead to redundant measurement data in subsequent measurements. The upper and lower limit frequencies refer to the boundary frequency values ​​at both ends of the frequency offset range, determined by detecting the frequency offset range. The upper limit frequency is the highest frequency within the frequency offset range, and the lower limit frequency is the lowest frequency within the range. Together, they define the specific boundaries of the frequency offset range, avoiding incomplete coverage or overlap of sub-intervals due to blurred boundaries, and ensuring that each sub-interval can effectively cover potential detuning areas. The probe sub-intervals refer to multiple continuous small frequency intervals divided into the frequency offset range according to preset rules based on the upper and lower limit frequencies. Each sub-interval is part of the frequency offset range and is interconnected without omission, which can break down the broad offset range into more refined analysis units.

[0041] Furthermore, the analysis of the center frequency value corresponding to the resonant center frequency can be achieved through a frequency domain data point interpolation algorithm, such as performing linear interpolation on adjacent data points of the impedance phase zero-crossing point to accurately calculate the center frequency value, thereby obtaining the center frequency value; the analysis of the frequency offset range corresponding to the center frequency value can be achieved through a statistical process control method, such as applying the 3σ principle based on historical test data to calculate the normal fluctuation range of the center frequency value, thereby obtaining the frequency offset range; the detection of the upper and lower limit frequencies corresponding to the frequency offset range can be achieved through a boundary extremum search algorithm, such as directly extracting the maximum and minimum values ​​from the frequency offset range data set as the upper and lower limit frequencies, thereby obtaining the upper and lower limit frequencies; the division of the exploration sub-intervals in the frequency offset range can be achieved through an equal frequency interval segmentation algorithm, such as dividing the range between the upper and lower limit frequencies into several sub-intervals of equal length, thereby obtaining the exploration sub-intervals; the generation of the frequency exploration interval corresponding to the meta-inductor coil can be achieved through a sub-interval merging optimization algorithm, such as merging two exploration sub-intervals containing the resonant center frequency and with continuous impedance gradients into a coherent exploration interval, thereby obtaining the frequency exploration interval.

[0042] For example, the phase fluctuation within the detuning interval is calculated using the following formula. It should be noted that this calculation method is only one possible approach and does not affect the implementation of the basic scheme described above: ; in, This represents the phase fluctuation within the detuning interval (unit: rad). This represents the total number of frequency sampling points in the detuned interval. Indicates the index of the number of frequency sampling points. Indicates the first The impedance phase value (unit: rad) corresponding to each frequency point is measured.

[0043] In detail, the phase fluctuation can represent a physical quantity used to accurately quantify the drastic change in impedance phase within the detuning interval. It is obtained by taking the square root of the sum of the squares of the impedance phase differences of all adjacent frequency sampling points within the detuning interval, then averaging (dividing by N-1), and thus directly reflecting the amplitude of phase fluctuation with frequency. The frequency sampling points can represent discrete frequency positions selected at preset frequency intervals within the detuning interval for measuring impedance phase. N represents the total number of frequency sampling points in the detuning interval, and i is the index of each sampling point (from 1 to N). For example, if the frequency range of a certain detuning interval is 100MHz to 150MHz, and sampling is done at 10MHz intervals, 6 sampling points will be obtained. The frequency sampling points (N=6) correspond to frequencies of 100MHz (i=1), 110MHz (i=2), 120MHz (i=3), 130MHz (i=4), 140MHz (i=5), and 150MHz (i=6) respectively. The impedance phase needs to be measured at each sampling point to provide discrete data for calculating phase fluctuations. The impedance phase value represents the phase angle presented by the impedance of the superstructure inductor at the i-th frequency sampling point, reflecting the phase characteristics of the coil at a specific frequency. It is the fundamental data for calculating phase fluctuations. For example, at the aforementioned frequency sampling point of 110MHz (i=2), the impedance phase of the coil measured by the impedance analyzer is... =0.5rad, this value will differ from adjacent sampling points (such as when i=1). The phase value (=0.2rad) is used to perform a difference operation, which is then used to participate in the overall calculation of the phase fluctuation, so as to reflect the phase change at adjacent frequencies.

[0044] Furthermore, based on the phase fluctuation amount, the present invention determines the frequency compensation level corresponding to the resonant unit, which can make the level division accurately match the actual degree of detuning and avoid insufficient or excessive compensation; it provides a precise basis for generating tuning instruction sets, improves the pertinence and efficiency of tuning operations; and it can also ensure that the resonant unit quickly returns to a stable resonant state after tuning, thereby optimizing the resonant performance of the metainductor.

[0045] The frequency compensation level refers to the level identifier obtained by classifying the reference compensation amount according to the preset level classification rules. It is used to intuitively reflect the range of frequency compensation required by the resonant unit. The level classification takes into account both tuning accuracy and operating efficiency. Different levels correspond to different compensation level ranges.

[0046] As an embodiment of the present invention, determining the frequency compensation level corresponding to the resonant unit based on the phase fluctuation amount includes: detecting the fluctuation range corresponding to the phase fluctuation amount; identifying the fluctuation amplitude in the fluctuation range; determining the degree of detuning corresponding to the resonant unit based on the fluctuation amplitude; analyzing the reference compensation amount corresponding to the resonant unit based on the degree of detuning; and determining the frequency compensation level corresponding to the resonant unit based on the reference compensation amount.

[0047] The fluctuation range refers to several pre-defined numerical ranges of phase fluctuation based on phase fluctuation data under normal and detuned states of the resonant unit. Different fluctuation ranges correspond to different characteristics of phase fluctuation, ensuring clear interval boundaries for quantitative analysis of phase fluctuation, which is the fundamental premise for accurately determining detuning-related characteristics. The fluctuation amplitude refers to the specific numerical value of the phase fluctuation within its respective fluctuation range, intuitively reflecting the severity of the impedance phase change with frequency of the resonant unit. It is extracted from the phase fluctuation and, by comparing it with the boundary value of the fluctuation range, clearly demonstrates the strength of the phase fluctuation, serving as the core quantitative indicator for judging the degree of detuning of the resonant unit. The degree of detuning refers to the level of deviation of the resonant unit from its normal resonant state, determined based on the matching of the fluctuation amplitude with the preset detuning evaluation criteria, such as mild, moderate, and severe detuning. The reference compensation amount refers to the base frequency value pre-calculated based on the degree of detuning, combined with the design parameters of the resonant unit and the frequency tuning principle, used to compensate for the detuning.

[0048] Furthermore, the detection of the fluctuation range corresponding to the phase fluctuation amount can be achieved through a local extremum envelope detection algorithm, such as: identifying all local maxima and minima of the phase data within the detuning range and connecting them to form an envelope, thereby obtaining the fluctuation range; the identification of the fluctuation amplitude within the fluctuation range can be achieved through an envelope vertical distance calculation algorithm, such as: calculating the maximum vertical distance between the local maxima envelope and the local minima envelope of the phase data within the fluctuation range, thereby obtaining the fluctuation amplitude; the determination of the detuning degree corresponding to the resonant unit can be achieved through a fuzzy logic reasoning method, such as: comparing the fluctuation amplitude with a preset threshold and mapping it to a specific detuning level through a fuzzy rule base, thereby obtaining the detuning degree; the analysis of the reference compensation amount corresponding to the resonant unit can be achieved through a lookup table method, such as: querying a preset detuning degree-reference compensation amount mapping table based on the detuning degree to obtain an initial compensation value, thereby obtaining the reference compensation amount; the determination of the frequency compensation level corresponding to the resonant unit can be achieved through a quantization grading algorithm, such as: discretizing the reference compensation amount according to a predefined step size and assigning it to the closest compensation level, thereby obtaining the frequency compensation level.

[0049] S3. Based on the frequency compensation level, calculate the detuning performance value corresponding to the meta-inductor coil. Based on the detuning performance value and the current operating frequency of the circuit, generate a tuning instruction set for the meta-inductor coil regarding frequency detuning.

[0050] Based on the frequency compensation level, this invention calculates the detuning performance value corresponding to the meta-inductor coil, which enables the detuning performance assessment to accurately match the actual state after compensation. It can quantify the degree of detuning improvement to intuitively judge the tuning effect, thereby ensuring the stability and reliability of the coil resonance performance.

[0051] The detuning performance value refers to a comprehensive index calculated based on the frequency offset value and the quantitative correspondence between frequency offset and performance degradation. It is used to quantify the degree of detuning and performance loss of the meta-inductor coil. It can fully reflect the performance degradation of the coil caused by detuning and is the core quantitative result for evaluating the tuning effect and judging whether the coil meets the working requirements.

[0052] As an embodiment of the present invention, the step of calculating the detuning performance value corresponding to the meta-inductor coil based on the frequency compensation level includes: analyzing the compensation index corresponding to the frequency compensation level; determining the phase change value corresponding to the compensation index; analyzing the impedance change in the meta-inductor coil based on the phase change value; determining the frequency offset value of the meta-inductor coil based on the impedance change; and calculating the detuning performance value corresponding to the meta-inductor coil based on the frequency offset value.

[0053] The compensation index refers to a key parameter obtained from the frequency compensation level analysis, used to quantify the magnitude and characteristics of frequency compensation. It is the core medium connecting the frequency compensation level and the actual compensation operation, reflecting core information such as the intensity and type of frequency compensation. The phase change value refers to the impedance phase change caused by the compensation operation, determined based on the compensation index and combined with the phase characteristic model of the meta-inductor coil. It quantifies the degree of influence of frequency compensation on the phase and is a direct basis for analyzing impedance changes, intuitively demonstrating the effect of compensation measures in the phase dimension. The impedance change refers to the change in impedance based on the phase change value, through the super-inductor coil... The impedance-phase relationship analysis of the superstructure inductor yields the overall change characteristics of the impedance after compensation, encompassing the patterns and extent of impedance amplitude and phase co-changes. It integrates the comprehensive impact of phase changes on impedance and is a key step in transitioning from the phase dimension to frequency offset analysis. The frequency offset value refers to the offset of the actual operating frequency of the coil relative to the ideal resonant frequency, determined based on impedance changes and the frequency-impedance characteristics of the superstructure inductor. It quantifies the core frequency characteristics of detuning and is a key value for assessing the degree of detuning. It provides the core basis for the final calculation of detuning performance values ​​in the frequency dimension and is directly related to the quality of the coil's resonant performance.

[0054] Furthermore, the analysis of the compensation index corresponding to the frequency compensation level can be achieved through a lookup table mapping method, such as: querying a preset level-index mapping table according to the frequency compensation level to obtain the corresponding numerical compensation amount, thereby obtaining the compensation index; the determination of the phase change value corresponding to the compensation index can be achieved through a linear transformation algorithm, such as: multiplying the compensation index by a preset phase-index conversion coefficient to calculate the phase value that needs to be adjusted, thereby obtaining the phase change value; the analysis of the impedance change in the metainductor can be achieved through S-parameter differential analysis, such as: performing frequency domain differentiation on the S11 parameters measured by the vector network analyzer to obtain the gradient of impedance change with frequency, thereby obtaining the impedance change; the determination of the frequency offset value of the metainductor can be achieved through a phase-frequency mapping model, such as: back-calculating the corresponding frequency change amount from the known impedance phase-frequency characteristic curve based on the phase change value, thereby obtaining the frequency offset value; the calculation of the detuning performance value corresponding to the metainductor can be achieved through the following formula.

[0055] For example, the detuning performance value corresponding to the meta-inductor coil is calculated using the following formula. It should be noted that this calculation method is only one possible method and does not affect the implementation of the basic scheme above: ; in, This represents the detuning performance value corresponding to the meta-inductor coil. This indicates the number of resonant modes corresponding to the meta-inductor coil. Indicates the index of the number of resonant modes. Indicates the first The frequency offset value corresponding to each resonant mode Indicates the operating frequency of the circuit. Represents the phase weighting coefficient. Indicates the first Phase fluctuation of each resonant mode.

[0056] In detail, the detuning performance value can represent an index that comprehensively quantifies the degree of detuning of the metainductor coil. It is obtained by taking the square root of the weighted sum of the relative frequency shifts and phase fluctuations of each resonant mode. It can comprehensively reflect the degree to which the coil deviates from the ideal resonant state. For example, if the metainductor has M=2 resonant modes, the operating frequency... =100MHz, phase weighting coefficient =0.5; Frequency offset of Mode 1 =5MHz, phase fluctuation =0.2 rad, Mode 2 =3MHz =0.1rad, substituting into the formula, we can calculate... This visually demonstrates the overall detuning performance of the coil. The resonant modes represent different operating modes in which the metainductor coil can resonate. M is the total number of resonant modes, and j is the index of each mode (used to distinguish different modes). For example, a metainductor can resonate under the fundamental frequency and harmonic frequencies; these are two different resonant modes. The influence of frequency offset and phase fluctuation on detuning needs to be analyzed separately for each mode. The frequency offset value represents the difference between the actual resonant frequency and the ideal resonant frequency of the j-th resonant mode, reflecting the degree of detuning in the frequency dimension of that mode. For example, if the ideal resonant frequency of the fundamental mode is 98MHz, and the actual measured resonant frequency is 103MHz, then... = 103MHz - 98MHz = 5MHz, quantifying the magnitude of the frequency deviation of this mode from the ideal value; the operating frequency point can represent the target frequency at which the meta-inductor is expected to operate during circuit design, serving as a benchmark reference value for evaluating frequency offset, so that the frequency offset of different resonant modes can be expressed in a "relative proportion". "To participate in the calculation and eliminate the impact of frequency scale differences on detuning assessment, for example, if the circuit requires the coil to operate at 100MHz, then..." Take 100MHz, for each mode All with By making comparisons, the impact of frequency offset becomes more comparable; the phase weighting coefficient can represent the weighting percentage used to adjust phase fluctuations in the detuning performance value calculation, reflecting the circuit's requirement for "phase stability." If the circuit is more sensitive to phase changes, it can be set... =0.8; if more attention is paid to frequency offset, it can be set to 0.8. =0.3, for example, in a certain scenario where it is necessary to balance the influence of frequency and phase, take... =0.5, so that the contribution of phase fluctuation and the contribution of frequency offset are reasonably weighted in the formula; the phase fluctuation can represent the amplitude of impedance phase fluctuation with frequency in the j-th resonant mode, reflecting the degree of detuning in the phase dimension of the mode. For example, in the fundamental mode (j=1) within the operating frequency band, the measured impedance phase fluctuates from 0.1 rad to 0.3 rad, which is obtained through quantization calculation. =0.2, which reflects the instability of the phase of this mode.

[0057] Furthermore, based on the detuning performance value and the current operating frequency of the circuit, the present invention generates a tuning instruction set for the meta-inductor coil regarding frequency detuning. This enables the instructions to accurately match the actual detuning degree of the coil with the real-time operating requirements of the circuit, avoiding deviation of the tuning operation from the core objective. It ensures that the instruction set directly addresses the detuning problem at the current operating frequency, improving the targeting and timeliness of the tuning.

[0058] The "current circuit" refers to the complete circuit system in which the meta-inductor coil is located and is operating in real time. This includes the coil itself and its associated components working in tandem. It represents the direct application environment in which the coil performs its resonant function, and its operating state directly affects the coil's resonant characteristics. Tuning operations must be based on the real-time operating conditions of this circuit to ensure that the generated tuning instruction set adapts to the actual operating requirements of the circuit, avoiding tuning failure due to deviations from the application scenario. The "operating frequency" refers to the target frequency point preset during the current circuit design phase, where the meta-inductor coil should operate stably. It is the core benchmark for evaluating whether the coil is detuned. This frequency point is determined by the circuit's functional requirements and is directly related to the circuit's core performance indicators. The actual resonant frequency of the coil must fluctuate around this frequency point; if it deviates beyond the allowable range, it is considered detuned. The accuracy of its value provides a clear target reference for tuning operations. Frequency detuning refers to the deviation of the actual resonant frequency of the meta-inductor coil from... The current circuit operating frequency is deviated from the preset allowable range. This state is usually caused by external factors, which will lead to coil impedance mismatch and thus affect the core performance of the circuit, such as signal transmission efficiency and energy conversion accuracy. The tuning instruction set refers to the set of instructions generated based on the detuning performance value and the current circuit operating frequency to guide the control unit to correct the frequency detuning. It includes specific operating parameters and execution logic. The bias voltage value, capacitor adjustment amount, phase compensation value and other parameters in the instruction set need to be adapted to the driving characteristics of the tuning element. The execution logic needs to clearly define the order of instructions and triggering conditions. Optionally, the generation of the tuning instruction set of the meta-inductor coil with respect to frequency detuning can be implemented by an instruction sequence encoding algorithm, such as: generating a set of digital command sequences based on the frequency offset value and the target frequency and a pre-stored tuning strategy and sending them to the variable capacitor array controller to obtain the tuning instruction set.

[0059] S4. Based on the tuning instruction set, the control unit is driven collaboratively to obtain a bias voltage pair. Based on the bias voltage pair, the current distribution parameters corresponding to the control unit are determined, and the capacitance modulation index corresponding to the current distribution parameters is analyzed.

[0060] Based on the aforementioned tuning instruction set, this invention provides coordinated driving to the control unit to obtain bias voltage pairs, enabling precise synchronization of the actions of each module in the control unit, ensuring the consistency and coordination of tuning operations, and providing key support for the circuit to maintain stable performance at the corresponding frequency point.

[0061] The bias voltage pair refers to a pair of bias voltages that are output by coordinating the various modules of the control unit to adjust the resonant characteristics of the superstructure inductor coil. It includes the specific values ​​of the forward and reverse bias voltages. This voltage pair acts directly on the tuning element of the coil. By changing the element parameters, it corrects the frequency detuning and makes the coil resonant frequency return to the operating frequency. It is the core execution signal for achieving precise tuning.

[0062] As an embodiment of the present invention, the step of coordinating the control unit based on the tuning instruction set to obtain a bias voltage pair includes: extracting tuning instructions from the tuning instruction set; acquiring a unit drive sequence corresponding to the control unit based on the tuning instructions; analyzing the initial value of the voltage pair corresponding to the control unit according to the unit drive sequence; adjusting the voltage output amount corresponding to the control unit based on the initial value of the voltage pair; and coordinating the control unit based on the voltage output amount to obtain a bias voltage pair.

[0063] The tuning instruction refers to the specific instruction entries extracted from the tuning instruction set that directly guide the control unit to perform tuning operations. It includes core information such as tuning direction, adjustment level, and execution timing. It is the basic component of the tuning instruction set and can transform tuning requirements into operation instructions that the control unit can recognize. The unit drive sequence refers to the sequence of drive signals collected from each component module of the control unit according to a preset logic based on the tuning instruction. It includes the start signal, operating parameters, and coordination timing of each module. The initial voltage pair refers to the pair of voltage values ​​initially output by the control unit, obtained by analyzing the voltage drive parameters in the unit drive sequence. It is the reference starting point for subsequent voltage adjustments. The voltage output quantity refers to the voltage parameters actually output by the control unit after further adjustment based on the initial voltage pair and the real-time detuning state of the superstructure inductor coil. It includes key information such as voltage amplitude and duration. It is a fine correction of the initial voltage pair, which can more accurately adapt to the detuning repair requirements of the coil and provide direct voltage execution parameters for the collaborative drive control unit.

[0064] Furthermore, the extraction of tuning instructions from the tuning instruction set can be achieved through an instruction queue parsing algorithm, such as using a first-in-first-out queue to read and parse individual instruction codes in the binary data stream of the tuning instruction set to obtain the tuning instructions; the acquisition of the unit drive sequence corresponding to the control unit can be achieved through a digital-to-analog converter configuration register reading method, such as reading the configuration register value of the DAC chip in the control unit through the SPI bus to obtain the current drive code sequence, thereby obtaining the unit drive sequence; the analysis of the initial value of the voltage pair corresponding to the control unit can be achieved through a voltage feedback sampling circuit measurement method, such as using a high-precision ADC to acquire the real-time voltage values ​​of the two output nodes of the control unit as the initial state, thereby obtaining the initial value of the voltage pair; the adjustment of the voltage output of the control unit can be achieved through a digital potentiometer programmable method, such as setting the resistance value of the digital potentiometer through the I2C interface according to the tuning instructions to accurately divide the voltage, thereby obtaining the voltage output; the coordinated driving of the control unit can be achieved through a differential voltage synthesis algorithm, such as independently controlling the output voltage of the two control units to generate a differential signal pair with a specific common-mode voltage, thereby obtaining the bias voltage pair.

[0065] Based on the bias voltage pair, this invention determines the current distribution parameters corresponding to the control unit and analyzes the capacitance modulation index corresponding to the current distribution parameters. It can transform the effect of the bias voltage into quantifiable current distribution characteristics, providing data support for accurately correlating voltage regulation and changes in coil resonance characteristics.

[0066] The current-carrying distribution parameter refers to the distribution characteristic parameter of the current formed in the relevant circuit components during the process of driving the tuning element by the control unit based on the bias voltage pair. It includes key information such as current density, current path distribution, and current amplitude gradient. It transforms the electrical signal of the bias voltage into a quantifiable current distribution state, intuitively reflecting the transmission law and distribution uniformity of the driving signal in the tuning-related circuit, and providing a direct basis for subsequent analysis of the impact of current on capacitor parameters. The capacitor modulation index is a core indicator calculated based on the current-carrying distribution parameter, which quantifies the degree of modulation of the tuning element parameter of the superstructure inductor coil. It includes characteristic dimensions such as modulation sensitivity and modulation depth. It intuitively reflects the magnitude and efficiency of the change in capacitance value caused by the change in current distribution, and clarifies the influence of current distribution on capacitor characteristics. The higher the index, the more significant the adjustment of capacitor parameters under the same current change. Optionally, the determination of the current-carrying distribution parameter corresponding to the control unit can be achieved by the finite element electromagnetic simulation method, such as using ANSYS. The bias voltage pair is imported into the HFSS software, and the current density distribution cloud map inside the superstructure inductor is solved to obtain the current carrying capacity distribution parameters. The analysis of the capacitance modulation index corresponding to the current carrying capacity distribution parameters can be achieved by a distributed capacitance extraction algorithm, such as: extracting the equivalent parasitic capacitance change of the coil based on the current density distribution using the Maxwell capacitance matrix calculation method, thereby obtaining the capacitance modulation index.

[0067] S5. Based on the capacitor modulation index, generate the dynamic tuning chain corresponding to the tuning element, extract the impedance matching logic corresponding to the dynamic tuning chain, and formulate the frequency tuning scheme corresponding to the meta-inductor coil based on the impedance matching logic.

[0068] Based on the capacitor modulation index, this invention generates a dynamic tuning chain corresponding to the tuning element, which enables the tuning steps to accurately match the actual performance of capacitor modulation, avoids the tuning action from being out of sync with the element characteristics, ensures a stable and controllable transition of the tuning element from detuning to resonance, and provides continuous operational support for the meta-inductor coil to maintain an ideal resonant state.

[0069] The dynamic tuning chain refers to a set of ordered tuning steps constructed based on the resonance state reflected by the key frequency response point. Each set of steps corresponds to a closed-loop logic of "control voltage level adjustment → unit driving → frequency response data acquisition → key frequency response point identification". For example, if the key frequency response point deviates far from the working frequency point, the subsequent steps match a higher voltage change level; if it is close to the working frequency point, a lower level is matched.

[0070] As an embodiment of the present invention, generating a dynamic tuning chain corresponding to the tuning element based on the capacitor modulation index includes: matching the control voltage level corresponding to the control unit according to the capacitor modulation index; analyzing the unit driving sequence corresponding to the control unit based on the control voltage level; collecting resonant frequency response data in the resonant unit based on the unit driving sequence; identifying key frequency response points in the resonant frequency response data; and generating a dynamic tuning chain corresponding to the tuning element based on the key frequency response points.

[0071] The control voltage level refers to the range of voltage levels that the control unit can output, divided according to the capacitor modulation index to match the modulation requirements of the tuning element. Each level includes specific voltage amplitude range, output accuracy, and duration parameters. Different capacitor modulation indices correspond to different levels. When the modulation index is high, a level with a smaller voltage change amplitude is matched to avoid over-modulation; when the modulation index is low, a level with a larger voltage change amplitude is matched to enhance the modulation effect. The unit drive sequence refers to the complete sequence of the control unit modules from startup to operation, ultimately determined based on the drive activation sequence. It includes the collaborative logic between modules. This sequence integrates the core information of level values, unit response values, and drive priorities to ensure that each module operates in an orderly manner while adapting to its own performance. For example, the voltage generator is activated first to output the corresponding level voltage, and then the data acquisition module is activated to monitor... The resonant state measurement is the final execution logic driven by the control unit. The resonant frequency response data refers to the resonant characteristic data of the meta-inductor coil at different frequencies collected when the control unit runs in the driving sequence. It includes key indicators such as impedance amplitude, impedance phase, and resonant frequency offset. For example, whether the impedance amplitude is approaching the extreme value and whether the phase is stabilizing can directly reflect the effect of the current tuning action. The key frequency response points refer to the characteristic frequency points identified from the resonant frequency response data that can intuitively reflect the current resonant state of the meta-inductor coil. Common ones include the frequency point where the impedance amplitude reaches the extreme value, the frequency point where the phase is stabilizing, and the frequency point with the smallest frequency offset. These points are the core basis for judging whether the current tuning is close to the target resonant state. If the key frequency response points are close to the operating frequency, it means that the current tuning is effective; if the deviation is large, subsequent tuning actions need to be adjusted.

[0072] Furthermore, the matching of the control voltage level corresponding to the control unit can be achieved through a voltage level lookup table method, such as: determining the closest control voltage level by querying a preset voltage-capacitance mapping table based on the capacitor modulation index, thereby obtaining the control voltage level; the analysis of the unit driving sequence corresponding to the control unit can be achieved through a dependency relationship topology sorting algorithm, such as: analyzing the electrical coupling relationship between each control unit to determine a conflict-free driving sequence, thereby obtaining the unit driving sequence; the acquisition of resonant frequency response data in the resonant unit can be achieved through a wideband frequency sweep measurement method, such as: using a vector network analyzer to perform a linear frequency scan in the target frequency band to obtain S-parameter amplitude and phase data, thereby obtaining the resonant frequency response data; the identification of key frequency response points in the resonant frequency response data can be achieved through a local extremum detection algorithm, such as: applying a first-order differential zero-crossing detection method to locate the peak and valley points of the resonant curve, thereby obtaining the key frequency response points; the generation of the dynamic tuning chain corresponding to the tuning element can be achieved through a state machine modeling method, such as: constructing a finite state machine model with key frequency response points as state transition conditions to describe the tuning process, thereby obtaining the dynamic tuning chain.

[0073] In detail, as another embodiment of the present invention, the step of analyzing the unit driving order corresponding to the control unit based on the control voltage level includes: reading the level value corresponding to the control voltage level; analyzing the unit response value corresponding to the control unit based on the level value; determining the driving priority corresponding to the control unit based on the unit response value; parsing the driving activation sequence corresponding to the driving priority; and analyzing the unit driving order corresponding to the control unit based on the driving activation sequence.

[0074] The "gear value" refers to the specific numerical value read from the control voltage gear, used to quantify the voltage output level of that gear. It encompasses quantifiable parameters such as voltage amplitude range and accuracy level, and is a digital representation of the control voltage gear. It directly reflects the voltage output capability of the control unit at that gear, ensuring that the voltage characteristics of different gears can be accurately distinguished. It is a fundamental quantitative indicator connecting the control voltage gear and the unit drive logic. The "unit response value" refers to the parameter analyzing the response capability of each component module of the control unit to the voltage output of that gear, based on the gear value. It includes dimensions such as response speed, output accuracy, and stability. For example, the response value of the voltage generator emphasizes output speed, while the timing controller emphasizes synchronization accuracy. These differences directly reflect... The ability of the module to adapt to the current gear provides a key basis for subsequent determination of drive priority. The drive priority refers to the order of start-up and operation of each module of the control unit based on the unit response value. The module with the better response value is given higher priority to ensure that the core tuning action is executed first. The drive activation sequence refers to the activation signal sequence of each module of the control unit ordered by priority after parsing the drive priority. It includes specific information such as the activation time, duration, and triggering conditions of each module. The activation signal of the high-priority module in the sequence precedes that of the low-priority module, and the signal parameters are adapted to the module response value. This provides specific signal logic support for analyzing the unit drive order and ensures that the module activation process is orderly and controllable.

[0075] Furthermore, the reading of the gear value corresponding to the control voltage gear can be achieved through a digital register reading method, such as reading the register value storing the current gear setting internally through the I2C interface of the control unit to obtain the gear value; the analysis of the unit response value corresponding to the control unit can be achieved through a voltage-capacitance conversion coefficient calculation method, such as multiplying the applied voltage gear value by the voltage-capacitance conversion coefficient preset by the control unit to obtain the actual capacitance change, thereby obtaining the unit response value; the determination of the drive priority corresponding to the control unit can be achieved through a sensitivity analysis method, such as sorting each control unit based on its sensitivity to the resonant frequency adjustment, with units of higher sensitivity being driven first, thereby obtaining the drive priority; the parsing of the drive activation sequence corresponding to the drive priority can be achieved through a priority queue scheduling algorithm, such as placing each control unit into a priority queue according to its drive priority and generating a sequential execution list, thereby obtaining the drive activation sequence; the analysis of the unit drive order corresponding to the control unit can be achieved through a timing constraint checking method, such as checking the electrical timing requirements between each step in the drive activation sequence to ensure no conflicts, thereby obtaining the unit drive order.

[0076] This invention extracts the impedance matching logic corresponding to the dynamic tuning chain, enabling the impedance matching strategy to precisely correspond to each step of the tuning chain operation. This avoids the impedance matching from being out of sync with the actual tuning action, ensuring that the coil impedance adjustment always meets the real-time requirements of detuning repair, and guaranteeing that the meta-inductor coil maintains a stable impedance matching state for a long time, supporting its continuous output of ideal resonant performance.

[0077] The impedance matching logic refers to a rule system extracted from the dynamic tuning chain to achieve precise matching between the impedance of the meta-inductor coil and the impedance of the circuit load / signal source. It includes core components such as impedance parameter judgment criteria, matching adjustment trigger conditions, and matching strategy selection logic. Based on the resonant frequency response data in the dynamic tuning chain, it first judges the degree of deviation between the current coil impedance and the target impedance, and then triggers corresponding adjustments based on the deviation. If the deviation exceeds the threshold, an impedance correction strategy synchronized with the dynamic tuning steps is selected. Optionally, the extraction of the impedance matching logic corresponding to the dynamic tuning chain can be implemented by a rule engine reasoning method, such as extracting the implicit "if-else" form impedance matching condition rules from the state transitions of the dynamic tuning chain to obtain the impedance matching logic.

[0078] Furthermore, based on the impedance matching logic, the present invention formulates a frequency tuning scheme for the superstructure inductor coil, which can simultaneously take into account the frequency return target and the accurate impedance matching, avoid focusing only on frequency adjustment while ignoring tuning failure caused by impedance imbalance, ensure that the coil continuously maintains ideal resonance and impedance matching in different scenarios, and enhance the practicality and long-term stability of the tuning scheme.

[0079] The frequency tuning scheme refers to a complete technical solution for systematically correcting frequency detuning, based on impedance matching logic and integrating core parameters such as the detuning performance value, bias voltage pair, and capacitor modulation index of the metainductor coil. This scheme clearly defines the tuning objectives, including specific execution steps such as the coordinated driving sequence of the control unit, the dynamic adjustment rhythm of the tuning elements, the control voltage range, the allowable value of phase fluctuation, and adaptation rules to cope with operating condition fluctuations. It standardizes the entire process from detuning analysis to tuning execution. Optionally, the formulation of the frequency tuning scheme corresponding to the metainductor coil can be achieved through a parameterized script generation method. For example, by inputting the impedance matching logic and tuning parameters into a script template, an operation instruction sequence containing specific voltage values ​​and timing sequences is automatically generated, thereby obtaining the frequency tuning scheme.

[0080] Specifically, the frequency tuning scheme can systematically correct the frequency detuning of the metainductor coil. By integrating core parameters such as detuning performance values, bias voltage pairs, and capacitor modulation index, the tuning goal is clearly defined as making the coil resonant frequency accurately return to the operating frequency point, while ensuring impedance matching with the circuit load / signal source. The entire tuning process can be standardized, from setting the collaborative driving sequence of the control unit and the dynamic adjustment rhythm of the tuning elements, to defining key thresholds such as the control voltage range and the allowable value of phase fluctuation, all with clear standards. In addition, the scheme can also achieve dynamic adaptation to operating condition fluctuations, such as automatically triggering voltage compensation strategies when the temperature changes, avoiding performance imbalances caused by adjusting a single parameter. Ultimately, it can ensure that the tuned coil has both stable frequency characteristics and impedance matching state, significantly improving circuit signal transmission efficiency and energy conversion accuracy, while ensuring the repeatability and reliability of the tuning operation, providing data support for the long-term stable operation of the metainductor coil.

[0081] Compared to the problems described in the background art, this invention, by configuring the tuning element corresponding to the metainductor coil, can respond in real time to the impedance characteristic changes of the coil under dynamic operating conditions, avoiding tuning lag caused by external factors; it can accurately capture resonance characteristics and locate the detuning interval, improving the accuracy of frequency tuning and reducing frequency band mismatch; it also lays the foundation for subsequent generation of dynamic tuning schemes, ensuring stable and efficient system operation. This invention, by identifying resonance characteristic points in the core resonance frequency band, can accurately capture key information about the resonance state of the metainductor coil, providing a clear data base for subsequent detuning interval location, avoiding detuning judgments from deviating from the core resonance range of the coil, ensuring that the tuning direction conforms to actual resonance requirements, and guaranteeing stable system adaptation in wideband scenarios. Furthermore, this invention calculates the metainductor coil based on the frequency compensation level. The corresponding detuning performance value allows for precise matching of the detuning performance assessment with the actual state after compensation. It quantifies the degree of detuning improvement to intuitively judge the tuning effect, thereby ensuring the stability and reliability of the coil's resonant performance. Furthermore, based on the tuning instruction set, this invention provides coordinated driving to the control unit to obtain bias voltage pairs. This enables precise synchronization of the actions of each module in the control unit, ensuring the consistency and coordination of tuning operations and providing crucial support for maintaining stable performance of the circuit at the corresponding frequency. Finally, based on the capacitor modulation index, this invention generates a dynamic tuning chain corresponding to the tuning element. This allows the tuning steps to precisely match the actual performance of capacitor modulation, avoiding a disconnect between tuning actions and element characteristics. This ensures a stable and controllable transition of the tuning element from detuning to resonance, providing continuous operational support for the metainductor coil to maintain its ideal resonant state. Therefore, the frequency tuning method and system for metainductor coils provided by this invention can improve the frequency tuning capability of metainductor coils in wideband multimode scenarios.

[0082] like Figure 2The diagram shown is a functional block diagram of a meta-inductor coil frequency tuning system according to the present invention.

[0083] The present invention discloses a frequency tuning system 200 for a meta-inductor coil, which can be installed in an electronic device. Depending on the functions implemented, the system may include a frequency band division module 201, a frequency compensation module 202, a tuning command module 203, a modulation index module 204, and a scheme formulation module 205. The modules described in this invention can also be referred to as units, which are a series of computer program segments that can be executed by the processor of an electronic device and perform a fixed function, and are stored in the memory of the electronic device.

[0084] In this embodiment of the invention, the functions of each module / unit are as follows: The frequency band division module 201 is used to configure the tuning element corresponding to the superstructure inductor coil. The tuning element includes a resonant unit and a control unit. It collects the impedance spectrum data corresponding to the resonant unit and divides the core resonant frequency band in the impedance spectrum data. The frequency compensation module 202 is used to identify the resonant feature points in the core resonant frequency band, locate the detuning interval corresponding to the meta-inductor coil based on the resonant feature points, calculate the phase fluctuation amount in the detuning interval, and determine the frequency compensation level corresponding to the resonant unit based on the phase fluctuation amount. The tuning instruction module 203 is used to calculate the detuning performance value corresponding to the meta-inductor coil based on the frequency compensation level, and generate a tuning instruction set for the meta-inductor coil regarding frequency detuning based on the detuning performance value and the current operating frequency of the circuit. The modulation index module 204 is used to coordinately drive the control unit based on the tuning instruction set to obtain a bias voltage pair, determine the current distribution parameter corresponding to the control unit based on the bias voltage pair, and analyze the capacitance modulation index corresponding to the current distribution parameter. The scheme formulation module 205 is used to generate a dynamic tuning chain corresponding to the tuning element based on the capacitor modulation index, extract the impedance matching logic corresponding to the dynamic tuning chain, and formulate a frequency tuning scheme corresponding to the meta-inductor coil based on the impedance matching logic.

[0085] In detail, the modules in the meta-inductor coil frequency tuning system 200 described in this embodiment of the invention employ the same methods as described above during use. Figure 1 The same technical means as described in the article for achieving frequency tuning of meta-inductor coils, and capable of producing the same technical effect, will not be elaborated here.

[0086] It will be apparent to those skilled in the art that the present invention is not limited to the details of the exemplary embodiments described above, and that the present invention can be implemented in other specific forms without departing from the spirit or essential characteristics of the present invention.

[0087] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit it. In the above multiple embodiments, each embodiment can be combined with each other or independent. Deleting any one of them will not affect the technical implementation of other embodiments. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention.

Claims

1. A method for implementing a frequency tuning of a superinductor coil, characterized in that, The method comprises: configuring a tuning element corresponding to the metasurface inductor coil, the tuning element comprising a resonance unit and a control unit, collecting impedance spectrum data corresponding to the resonance unit, and dividing a core resonance frequency band in the impedance spectrum data; identifying a resonance feature point in the core resonance frequency band, positioning a detuning interval corresponding to the metasurface inductor coil based on the resonance feature point, calculating a phase fluctuation in the detuning interval, determining a frequency compensation level corresponding to the resonance unit based on the phase fluctuation; based on the frequency compensation level, calculating a detuning performance value corresponding to the metasurface inductor coil, and generating a tuning instruction set of the metasurface inductor coil with respect to frequency detuning based on the detuning performance value and the working frequency point of the current circuit; based on the tuning instruction set, cooperatively driving the control unit to obtain a bias voltage pair, determining a current-carrying distribution parameter corresponding to the control unit based on the bias voltage pair, and analyzing a capacitance modulation index corresponding to the current-carrying distribution parameter; based on the capacitance modulation index, generating a dynamic tuning chain corresponding to the tuning element, extracting an impedance matching logic corresponding to the dynamic tuning chain, and formulating a frequency tuning scheme corresponding to the metasurface inductor coil based on the impedance matching logic.

2. A method for implementing a frequency tuning of a superinductor coil according to claim 1, characterized in that, The method comprises: analyzing a resonance center frequency corresponding to the resonance feature point; based on the resonance center frequency, generating a frequency exploration interval corresponding to the metasurface inductor coil; measuring an impedance phase sequence in the frequency exploration interval; identifying a phase jump segment in the impedance phase sequence; according to the phase jump segment, positioning the detuning interval corresponding to the metasurface inductor coil.

3. A method for implementing a frequency tuning of a superinductor coil according to claim 2, characterized in that, The method comprises: analyzing a center frequency value corresponding to the resonance center frequency; analyzing a frequency offset range corresponding to the center frequency value; detecting upper and lower limit frequencies corresponding to the frequency offset range; according to the upper and lower limit frequencies, dividing an exploration sub-interval in the frequency offset range; based on the exploration sub-interval, generating a frequency exploration interval corresponding to the metasurface inductor coil.

4. A method for implementing a frequency tuning of a super inductance coil according to claim 1, characterized in that, The method comprises: according to the capacitance modulation index, matching a control voltage gear corresponding to the control unit; based on the control voltage gear, analyzing a unit driving sequence corresponding to the control unit; based on the unit driving sequence, collecting resonance frequency response data in the resonance unit; identifying a key frequency response point in the resonance frequency response data; based on the key frequency response point, generating a dynamic tuning chain corresponding to the tuning element.

5. A method for implementing a frequency tuning of a superinductor coil according to claim 4, characterized in that, The method comprises: reading a gear numerical value corresponding to the control voltage gear; based on the gear numerical value, analyzing a unit response value corresponding to the control unit; based on the unit response value, defining a driving priority corresponding to the control unit; analyzing a driving activation sequence corresponding to the driving priority; Based on the driving activation sequence, analyze the unit driving sequence corresponding to the control unit.

6. A method for implementing a frequency tuning of a super inductance coil according to claim 1, wherein, Based on the frequency compensation level, calculate the detuning performance value corresponding to the super inductive coil, including: Analyze the compensation index corresponding to the frequency compensation level; Determine the phase change value corresponding to the compensation index; Based on the phase change value, analyze the impedance change in the super inductive coil; Based on the impedance change, determine the frequency offset value of the super inductive coil; Based on the frequency offset value, calculate the detuning performance value corresponding to the super inductive coil by the following formula: ； a number of resonance modes corresponding to the super inductor coil, a number index of the resonance mode, a frequency offset value corresponding to the resonance mode, a phase weight coefficient, a phase fluctuation amount of the resonance mode.

7. A method for implementing a frequency tuning of a super inductance coil according to claim 1, wherein, The division of the core resonance frequency band in the impedance spectrum data includes: Obtain the impedance amplitude sequence corresponding to the impedance spectrum data; Locate the resonance peak pole in the impedance amplitude sequence; Select the adjacent frequency point corresponding to the resonance peak pole; Calculate the impedance amplitude slope corresponding to the adjacent frequency point; According to the impedance amplitude slope, determine the resonance frequency band boundary corresponding to the impedance spectrum data; Based on the resonance frequency band boundary, divide the core resonance frequency band in the impedance spectrum data.

8. A method for implementing a frequency tuning of a super inductance coil according to claim 1, wherein, Based on the phase fluctuation, determine the frequency compensation level corresponding to the resonance unit, including: Detect the fluctuation interval corresponding to the phase fluctuation; Identify the fluctuation amplitude in the fluctuation interval; According to the fluctuation amplitude, judge the detuning degree of the resonance unit; Based on the detuning degree, analyze the reference compensation amount corresponding to the resonance unit; According to the reference compensation amount, determine the frequency compensation level corresponding to the resonance unit.

9. A method for implementing a frequency tuning of a super inductance coil according to claim 1, wherein, Based on the tuning instruction set, the control unit is driven to obtain the bias voltage pair, including: Extract the tuning instruction in the tuning instruction set; Based on the tuning instruction, collect the unit driving sequence corresponding to the control unit; According to the unit driving sequence, analyze the initial value of the voltage pair corresponding to the control unit; Based on the initial value of the voltage pair, adjust the voltage output amount corresponding to the control unit; Based on the voltage output amount, the control unit is driven to obtain the bias voltage pair.

10. A system for implementing a metasructured inductor coil frequency tuning system, comprising: A system for implementing the super inductive coil frequency tuning method according to any one of claims 1-9, the system comprising: A frequency band division module for configuring the tuning elements corresponding to the super inductive coil, the tuning elements including a resonance unit and a control unit, collecting impedance spectrum data corresponding to the resonance unit, and dividing the core resonance frequency band in the impedance spectrum data; A frequency compensation module for identifying the resonance feature points in the core resonance frequency band, based on the resonance feature points, positioning the detuning interval corresponding to the super inductive coil, calculating the phase fluctuation in the detuning interval, and based on the phase fluctuation, determining the frequency compensation level corresponding to the resonance unit; A tuning instruction module for calculating the detuning performance value corresponding to the super inductive coil based on the frequency compensation level, and generating the tuning instruction set of the super inductive coil about frequency detuning based on the detuning performance value and the current circuit working frequency point. A modulation index module is configured to drive the control unit based on the tuning instruction set to obtain a bias voltage pair, determine a current distribution parameter corresponding to the control unit based on the bias voltage pair, and analyze a capacitance modulation index corresponding to the current distribution parameter. A scheme formulation module is configured to generate a dynamic tuning chain corresponding to the tuning element based on the capacitance modulation index, extract an impedance matching logic corresponding to the dynamic tuning chain, and formulate a frequency tuning scheme corresponding to the metasurface inductor coil based on the impedance matching logic.

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