Gas-solid two-phase flow measurement method and system based on array electrostatic sensor

By using spatiotemporal coding modulation and synchronous demodulation techniques with array electrostatic sensors in gas-solid two-phase flow measurement, the problems of low signal-to-noise ratio and difficulty in measuring spatial distribution are solved, enabling high-precision flow parameter calculation and flow characteristic analysis.

CN121409347APending Publication Date: 2026-01-27LIAONING INST OF SCI & TECH
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Patent Information

Application Number
CN202511467092.9
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-10-14
Publication Date
2026-01-27

AI Technical Summary

Technical Problem

Existing electrostatic induction-based gas-solid two-phase flow measurement methods rely on the unstable natural charge characteristics of particles, resulting in low signal-to-noise ratio, coupling of multiple parameters, and inability to reflect spatial distribution, leading to insufficient robustness and accuracy of the measurement results.

Method used

An array of electrostatic sensors is used to apply a multiphase periodic potential to an upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field in the pipeline, which modulates the electrical characteristics of the particle cloud. The response signal is collected by a downstream synchronous sensing array for synchronous demodulation, and in-phase and quadrature components are extracted to calculate the flow parameters.

Benefits of technology

It significantly improves the signal-to-noise ratio and detection sensitivity, making it suitable for measurement scenarios with low concentrations or insignificant particle electrical properties. It provides two-dimensional visualization of particle concentration distribution within the pipe cross-section, identifies complex flow patterns, and improves the robustness of measurement results and adaptability to different materials.

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Abstract

The invention relates to the technical field of process parameter measurement, and discloses a gas-solid two-phase flow measurement method and system based on an array electrostatic sensor, and the method comprises the steps: applying a group of multiphase periodic potentials to an upstream space-time coding modulator, forming a space-time coding excitation field in a pipeline, and carrying out the electrical characteristic modulation of a flowing particle cloud cluster; acquiring a response signal through a downstream synchronous sensing array, and synchronously demodulating the response signal to obtain an in-phase component representing in-phase response and an orthogonal component representing orthogonal response; and calculating to obtain a flow parameter based on the in-phase component and the orthogonal component. The reference signal strictly synchronized with the excitation signal is adopted to perform phase-locked amplification processing on the response signal, so that a weak response component caused by modulation can be extracted from background noise far stronger than the target signal with high selectivity, and the signal-to-noise ratio and the detection sensitivity of the system are greatly improved.
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Description

Technical Field

[0001] This invention relates to the field of process parameter measurement technology, specifically to a gas-solid two-phase flow measurement method and system based on an array electrostatic sensor. Background Technology

[0002] Gas-solid two-phase flow is a common form of material transport in industrial production, widely used in energy, chemical, metallurgical, and pharmaceutical industries. In these industrial processes, real-time and accurate online measurement of parameters such as the mass flow rate, concentration distribution, and velocity distribution of solid particles within the pipeline is crucial for achieving optimized process control, ensuring safe equipment operation, and improving energy efficiency.

[0003] Among numerous measurement techniques, electrostatic induction-based methods have become an important research direction in this field due to their advantages of being non-invasive, having no moving parts, having a fast response speed, simple structure, and relatively low cost. The basic principle of this technology is that particles in pneumatic conveying processes naturally acquire static charges due to friction and collisions with the pipe wall and between particles. When these charged particle clouds flow past sensing electrodes installed on the pipe, a weak charge signal is generated on the electrodes through electrostatic induction. By collecting and processing this induced signal, parameters related to the particle flow state can be derived.

[0004] However, existing measurement methods based on the principle of electrostatic induction still face inherent technical bottlenecks in practical applications, which collectively limit their measurement accuracy and adaptability to various operating conditions. The fundamental problem lies in the fact that this method relies entirely on the natural charge of particles. The charge and polarity of particles are extremely complex and unstable physical processes, dynamically influenced by factors such as material type, particle size, temperature, humidity, conveying speed, pipe material, and even pipe cleanliness. This uncertainty in the signal source makes the measurement reference highly susceptible to drift, making system calibration difficult and unsustainable over long periods, and compromising the accuracy and repeatability of the measurement results.

[0005] Relatedly, the signal generated by natural charging is inherently weak, and the randomness and turbulence of particle flow introduce strong background noise, resulting in a typically low signal-to-noise ratio for the induced signal. Especially under conditions of low-concentration transport or where some particles have insignificant charge characteristics, useful flow information is easily drowned out by noise. Traditional signal processing methods, such as statistical analysis in the time or frequency domains, have limited ability to separate effective signals in a strong noise background, further affecting the reliability of the measurement.

[0006] Furthermore, most current electrostatic measurement systems neglect the spatial inhomogeneity of flow within the pipe cross-section. The distribution of gas-solid two-phase flow within a pipe is often asymmetrical, potentially forming complex flow patterns such as rope flow, stratified flow, and annular flow. Traditional methods using single or a small number of electrodes acquire average or local information across the entire cross-section, failing to capture the spatial structure of the flow. Such measurement results are heavily dependent on the flow pattern; when the flow pattern changes, even if the total flow rate remains constant, the measurement readings may deviate significantly, introducing substantial measurement errors.

[0007] Finally, the information obtained from the induced signals is coupled and ambiguous. Changes in the induced signals are often the result of the coupling effects of multiple physical quantities, such as particle concentration, velocity, and the particle's own state of charge. Existing technologies usually struggle to effectively decouple these factors, meaning they cannot clearly distinguish whether the signal change is caused by concentration or by changes in velocity or the unit charge of the particle. This makes it extremely difficult to accurately attribute and quantify a single variable.

[0008] Therefore, overcoming the dependence on the natural charge of particles, improving the signal-to-noise ratio, obtaining spatial distribution information of flow, and realizing decoupled measurement of multiple physical quantities are technical problems that urgently need to be solved in this field. Summary of the Invention

[0009] To address the shortcomings of existing technologies, this invention provides a gas-solid two-phase flow measurement method and system based on an array of electrostatic sensors. This solves the problems of low signal-to-noise ratio, coupling of multiple parameters, and inability to reflect spatial distribution in existing electrostatic induction-based gas-solid two-phase flow measurement methods, which rely on the unstable natural charge characteristics of particles, resulting in insufficient robustness and accuracy of the measurement results.

[0010] To achieve the above objectives, the present invention provides the following technical solution: a gas-solid two-phase flow measurement method based on an array electrostatic sensor, comprising the following steps:

[0011] S1. A set of multiphase periodic potentials is applied to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field within the pipe, which is used to modulate the electrical characteristics of the flowing particle cloud. This excitation field applies periodic perturbations to the charge distribution or induced dipoles of the particle cloud, thereby superimposing an imprint with a preset spatiotemporal structure and the same frequency as the excitation field onto the overall electrical characteristics of the particle cloud.

[0012] In an optional implementation, a potential is applied to the m-th excitation electrode of the upstream spatiotemporal coding modulator. Its definition is:

[0013] ;

[0014] in, Let be the instantaneous potential applied to the m-th excitation electrode; The amplitude of the excitation potential; The angular frequency of the excitation potential; For time; This represents the total number of excitation electrodes; This is the serial number of the excitation electrode, and its value ranges from 1 to M, which are integers.

[0015] S2. Acquire the response signal through a downstream synchronous sensing array, and demodulate the response signal synchronously to obtain the in-phase component representing the in-phase response and the quadrature component representing the quadrature response. Accurately extract the weak response signal caused by the spatiotemporally encoded excitation field from the original induction signal containing noise.

[0016] In an optional implementation, the synchronous demodulation step specifically involves: using an in-phase reference signal and a quadrature reference signal with the same frequency as the multiphase periodic potential to perform phase-locked amplification on the response signal to obtain the in-phase component and the quadrature component, respectively.

[0017] Step 3: Calculate the flow parameters based on the in-phase component and the quadrature component.

[0018] In an optional implementation, before calculating the flow parameters, the method further includes: based on the in-phase component. and the orthogonal components Calculate the amplitude of the response signal corresponding to each sensing electrode. and phase The amplitude and phase The calculation formula is:

[0019] ;

[0020] ;

[0021] in, The amplitude of the response signal; The phase of the response signal; The in-phase component; These are the orthogonal components; This is the serial number of the sensing electrode.

[0022] Furthermore, the method may also include constructing an amplitude map from the set of amplitudes obtained by the multiple sensing electrodes at the same time, and constructing a phase map from the set of phases. The amplitude map characterizes the spatial distribution of the relative concentration of particles within the pipe cross-section, while the phase map characterizes the spatial distribution of the response delay of particles to the excitation field within the pipe cross-section.

[0023] In an optional implementation, the flow parameter includes a velocity field, the calculation of which involves using optical flow to calculate the velocity field based on the amplitude map or phase map sequence at at least two different times. This velocity field provides two-dimensional distribution information of the flow velocity within the pipe cross-section.

[0024] Furthermore, the flow parameter may include mass flow rate, the calculation steps of which include: using the amplitude map as the relative concentration distribution of particles, and combining it with the flow velocity field, to obtain the flow rate by performing an integral operation on the pipe cross-section.

[0025] In an optional implementation, the method further includes performing statistical analysis on the phase map to obtain physical property parameters characterizing the particle properties. The global mean and global standard deviation of the phase map can be calculated as the physical property parameters for monitoring changes in the dielectric properties or uniformity of the particle population.

[0026] A gas-solid two-phase flow measurement system based on an array electrostatic sensor, corresponding to the method described above, includes:

[0027] The spatiotemporal coding modulation module is used to apply a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field in the pipeline, thereby modulating the electrical characteristics of the flowing particle cloud.

[0028] The synchronous demodulation sensing module is used to acquire the response signal through the downstream synchronous sensing array and synchronously demodulate the response signal to obtain the in-phase component representing the in-phase response and the quadrature component representing the quadrature response.

[0029] The parameter calculation module is used to calculate the flow parameters based on the in-phase component and the quadrature component.

[0030] This invention provides a method and system for measuring the flow rate of gas-solid two-phase flow based on an array electrostatic sensor. It offers the following advantages:

[0031] 1. This invention uses a reference signal that is strictly synchronized with the excitation signal to perform phase-locked amplification on the response signal. This allows for highly selective extraction of weak response components caused by modulation from background noise that is much stronger than the target signal. This greatly improves the signal-to-noise ratio and detection sensitivity of the system, making this invention applicable to measurement scenarios with low concentrations or insignificant particle electrical properties.

[0032] 2. This invention applies a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to actively modulate the electrical characteristics of the particle cloud, transforming the measurement basis from the unstable natural charge of the particles themselves to the response to deterministic excitation. This solves the technical problem of measurement reference drift caused by changes in operating conditions and significantly improves the robustness of the measurement results and adaptability to different materials.

[0033] 3. By setting up a downstream synchronous sensing array and independently processing the demodulated signals of each sensing channel to construct amplitude and phase maps, this invention achieves two-dimensional visualization of information such as particle concentration distribution within the pipe cross-section. It can identify and quantify complex flow patterns such as non-uniform flow, providing rich flow field information far exceeding traditional single-point or average measurements, and providing data support for optimizing the transportation process. Attached Figure Description

[0034] Figure 1 This is a flowchart of the method of the present invention;

[0035] Figure 2 This is a system architecture diagram of the present invention. Detailed Implementation

[0036] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0037] Example:

[0038] Please see the appendix Figure 1 This invention provides a method for measuring the flow rate of a gas-solid two-phase flow based on an array electrostatic sensor, comprising the following steps:

[0039] S1. Apply a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field in the pipe, which is used to modulate the electrical characteristics of the flowing particle cloud.

[0040] In this embodiment, step S1 involves applying a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field within the pipe, which is used to modulate the electrical characteristics of the flowing particle cloud. The specific implementation method is as follows:

[0041] The purpose of this step is to actively and deterministically alter the electrical properties of the measured particle cloud, overcoming the technical problem of unstable measurement references caused by relying entirely on the random and uncontrollable natural charge characteristics of the particles themselves in existing technologies. This transforms the subsequent measurement process from passively acquiring random signals to actively decoding deterministic responses.

[0042] In the measurement system of the present invention, an upstream spatiotemporal coding modulator is provided at the upstream position of the measurement section. In terms of physical structure, the modulator consists of M mutually insulated excitation electrodes, which are evenly distributed in a circular array along the inner or outer wall of the pipe.

[0043] The central processing and control unit generates a set of multiphase periodic potentials and applies them to the M excitation electrodes of the upstream spatiotemporal coding modulator. The instantaneous potential applied to the m-th excitation electrode... It can be precisely described by the following formula:

[0044] ;

[0045] In this formula, the symbols are defined as follows:

[0046] In time The instantaneous potential applied to the m-th excitation electrode;

[0047] The magnitude of this set of multiphase periodic potentials remains constant.

[0048] The angular frequency of this set of multiphase periodic potentials determines the period of the potential signal.

[0049] It is a time variable;

[0050] This represents the total number of excitation electrodes in the upstream spatiotemporal coding modulator.

[0051] This is the serial number of a specific excitation electrode, and its value ranges from 1 to M, which are integers.

[0052] As shown in the formula above, the M excitation electrodes are subjected to a set of periodic potentials with the same frequency and amplitude, but whose phases change uniformly in sequence. This specific combination of potentials will synthesize a rotating electric field within the cross-sectional space of the pipe. The angular velocity of this rotating electric field is determined by the angular frequency. Sure.

[0053] When a cloud of particles carrying electrostatic charges or being a polarizable medium flows through this spatiotemporally encoded excitation field region with a gas-phase carrier, it interacts with the rotating electric field. This interaction is a perturbation-level modulation of electrical properties, with the field strength designed to ensure it does not significantly affect the macroscopic trajectory of the particles or the overall flow pattern. This rotating electric field exerts a periodically varying electrostatic force on the charged particles, inducing a periodically rotating electric dipole in the polarizable dielectric particles.

[0054] The particle cloud, which originally exhibits random or slowly varying characteristics in charge distribution, has its internal charge distribution or polarization state superimposed with periodic changes in a deterministic spiral structure that are synchronized with the external excitation field.

[0055] angular frequency The range of values ​​should be selected in a frequency band that matches the dielectric response characteristics of the particles being measured. At the same time, this frequency should be significantly different from the low-frequency noise band caused by factors such as turbulence, so as to facilitate subsequent signal extraction.

[0056] Amplitude of excitation potential The value of should ensure that the resulting excitation field is sufficient to generate a modulation depth that can be effectively detected by the downstream synchronous sensing array, but at the same time should be lower than the threshold that may cause electrical breakdown of the gas medium in the pipeline.

[0057] By performing this step, the present invention lays the physical foundation for subsequent precise measurements, that is, transforming uncertain and difficult-to-quantify measurement objects into measurement objects carrying known coded information that can be deterministically analyzed.

[0058] S2. Acquire the response signal through the downstream synchronous sensing array and demodulate the response signal synchronously to obtain the in-phase component characterizing the in-phase response and the quadrature component characterizing the quadrature response.

[0059] In this embodiment, step S2, which involves acquiring the response signal through a downstream synchronous sensing array and synchronously demodulating the response signal to obtain the in-phase component representing the in-phase response and the quadrature component representing the quadrature response, is specifically implemented as follows:

[0060] Following the electrical property modulation of the particulate cloud in step S1, the weak response signal induced by the spatiotemporally encoded excitation field is accurately and selectively extracted from a complex environment with extremely strong background noise. This step is a crucial link connecting physical sensing and data analysis, solving the technical problem of how to achieve high signal-to-noise ratio signal extraction in a strong interference background.

[0061] To achieve the above objectives, a downstream synchronous sensing array, independent of the modulator, is installed at a specific axial distance downstream of the upstream spatiotemporal coding modulator. This array consists of N electrostatic sensing electrodes, also evenly distributed along the circumference of the pipe, used to non-invasively sense the electrical signals of the modulated particle cloud flowing through it.

[0062] During this step, the raw response signal acquired by the nth sensing electrode of the downstream synchronous sensing array. It is a time-varying signal with complex components. This signal mainly consists of three parts: first, a frequency generated by the spatiotemporal encoded excitation field modulation in step S1. The signals are: firstly, weak target signals; secondly, random noise signals generated by the static charge randomly carried by the particles during the flow process, which are much stronger than the target signals; and thirdly, electromagnetic interference signals from the external environment of the system.

[0063] Given the frequency of the target signal It is known and certain that synchronous demodulation technology is used to accurately extract the target signal. Synchronous demodulation is achieved through the lock-in amplification principle. The central processing and control unit performs parallel lock-in amplification processing for the sensing channel.

[0064] During the processing, the central processing and control unit first generates two reference signals that are strictly in sync with the multiphase periodic potential in step S1 and whose phases are mutually orthogonal, i.e., in-phase reference signals. and quadrature reference signals These two reference signals can be defined by the following formula:

[0065] ;

[0066] ;

[0067] in, The amplitude of the reference signal is a fixed value set internally by the system.

[0068] Subsequently, the response signal acquired by the nth sensing electrode The system multiplies these signals with the two reference signals mentioned above. After multiplication, the two product signals are then low-pass filtered. The cutoff frequency of this low-pass filter is designed to remove high-frequency components from the product signals, retaining only their near-DC components. The mathematical expression for this process is as follows:

[0069] ;

[0070] ;

[0071] in, This represents a low-pass filter operation.

[0072] After the above synchronous demodulation processing, the system outputs two quasi-DC signals for each sensing channel: That is, the in-phase component; These are the quadrature components and the in-phase components. The amplitude is proportional to the response signal. In-phase reference signal The amplitude of the in-phase component. Similarly, the amplitude of the quadrature component. The amplitude is proportional to the response signal. Orthogonal reference signal The amplitude of the in-phase component.

[0073] By performing this step, all frequencies in the original response signal related to the excitation frequency are removed. Irrelevant noise and interference components, being uncorrelated with the reference signal, contribute nearly zero after product and low-pass filtering, thus being effectively suppressed. This step's output... It is a stable DC component that can fully characterize the amplitude and phase of the target response signal and has a greatly improved signal-to-noise ratio, providing high-quality raw data for accurate flow parameter calculation in the subsequent step S3.

[0074] S3. Flow parameters are calculated based on in-phase and quadrature components.

[0075] In this embodiment, step S3, which involves calculating the flow parameters based on the in-phase and quadrature components, is implemented as follows:

[0076] The purpose of this step is to perform in-depth processing and physical analysis on the high-quality, high signal-to-noise ratio demodulated data output from step S2, transforming it from electrical measurements into engineering parameters that can directly characterize the macroscopic flow characteristics and microscopic material properties of gas-solid two-phase flow.

[0077] This step involves the in-phase component output from step S2. and orthogonal components Perform data transformation. Because... These form vectors in an orthogonal coordinate system. To more intuitively reflect their physical meaning, the system converts them into polar coordinates, thereby obtaining the amplitude of the response signal corresponding to each sensing electrode position. and phase .

[0078] This transformation is achieved through the following formula:

[0079] ;

[0080] ;

[0081] The definitions of each symbol are as follows:

[0082] The amplitude of the response signal corresponding to the nth sensing electrode;

[0083] The phase of the response signal corresponding to the nth sensing electrode;

[0084] This is the in-phase component output from step S2 that corresponds to the nth sensing electrode;

[0085] This is the orthogonal component output from step S2 that corresponds to the nth sensing electrode;

[0086] This is the serial number of the sensing electrode.

[0087] In this transformation, the calculated amplitude Physically, it is directly related to the modulated effective charge density flowing through the region of the sensing electrode. At any given instant, it is determined by the amplitudes of all N sensing electrodes. The spatial distribution formed by the set, i.e. the amplitude map, can serve as a direct representation of the relative concentration distribution of particles within the pipe cross-section.

[0088] Meanwhile, the calculated phase Physically, this characterizes the response delay of the particle cloud to the upstream excitation field. This delay mainly depends on the intrinsic physical properties of the particles, such as their dielectric constant and charge relaxation time. It is determined by the phase of all N sensing electrodes. The spatial distribution formed by the set, i.e., the phase diagram, contains rich information about the properties of the particles. The amplitude diagram and the phase diagram together constitute the complex projection diagram of that instant.

[0089] After obtaining the instantaneous graph representing the cross-sectional information, this step further calculates the flow parameters.

[0090] Flow parameters include the velocity field. To obtain this velocity field, the system continuously acquires and generates a series of amplitude or phase maps arranged in time sequence. Subsequently, these continuous graphic sequences are processed using optical flow. The basic principle of optical flow is that it assumes a certain physical property of a group of particles moving with fluid micro-elements remains constant over extremely short time intervals. By tracking the displacement of this property between consecutive graphic frames, its velocity can be calculated. This invention applies this method to a sequence of amplitude or phase maps to calculate the two-dimensional spatial distribution of the velocity within the pipe cross-section, i.e., the velocity field.

[0091] Based on the obtained velocity field, the flow parameters can include mass flow rate. Mass flow rate is calculated by multiplying the relative concentration distribution of particles by the axial velocity component within the cross-section and then performing an area integral over the entire pipe cross-section. The system uses the amplitude map as a representation of the relative concentration distribution of particles, extracts the axial velocity component from the calculated velocity field, and finally obtains the total mass flow rate through integration.

[0092] This invention can not only calculate flow parameters, but also perform online characterization of particulate properties.

[0093] This step involves independent statistical analysis of the continuously generated phase maps. Since phase information is strongly correlated with the intrinsic physical properties of particles, analysis of the phase maps can reveal changes in material properties.

[0094] The system calculates the global statistical characteristics of the phase diagram, including the global average and global standard deviation of the phase values ​​of all sensing electrodes. The systematic drift of the global phase average indicates changes in the average dielectric properties of the particle population, caused by overall variations in the material's moisture content. Changes in the global phase standard deviation indicate variations in the uniformity of particle properties within the population; this value changes under conditions of uneven mixing or component segregation. By monitoring these physical property parameters, this invention provides process analysis and diagnostic capabilities that surpass those of traditional flowmeters.

[0095] Please see the appendix Figure 2 A gas-solid two-phase flow measurement system based on an array electrostatic sensor includes:

[0096] The spatiotemporal coding modulation module is used to apply a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field in the pipeline, thereby modulating the electrical characteristics of the flowing particle cloud.

[0097] The synchronous demodulation sensing module is used to acquire response signals through the downstream synchronous sensing array and synchronously demodulate the response signals to obtain the in-phase component representing the in-phase response and the quadrature component representing the quadrature response.

[0098] The parameter calculation module is used to calculate flow parameters based on in-phase and quadrature components.

[0099] The system in this embodiment can be used to execute the above method embodiments, and its principle and technical effect are similar, so they will not be described again here.

Claims

1. A method for measuring the flow rate of a gas-solid two-phase flow based on an array electrostatic sensor, characterized in that, Includes the following steps: S1. Apply a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field in the pipe, which is used to modulate the electrical characteristics of the flowing particle cloud. S2. Acquire the response signal through the downstream synchronous sensing array, and demodulate the response signal synchronously to obtain the in-phase component representing the in-phase response and the quadrature component representing the quadrature response. S3. Based on the in-phase component and the quadrature component, the flow parameters are calculated.

2. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 1, characterized in that, The specific steps for applying a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator are as follows: A potential is applied to the m-th excitation electrode of the upstream spatiotemporal coding modulator. Its definition is: ; in, Let be the instantaneous potential applied to the m-th excitation electrode; The amplitude of the excitation potential; The angular frequency of the excitation potential; For time; This represents the total number of excitation electrodes; This is the serial number of the excitation electrode, and its value ranges from 1 to M, which are integers.

3. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 1, characterized in that, Before calculating the flow parameters, the method further includes the step of: Based on the in-phase components and the orthogonal components Calculate the amplitude of the response signal corresponding to each sensing electrode. and phase ; The amplitude and phase The calculation formula is: ; ; in, The amplitude of the response signal; The phase of the response signal; The in-phase component; These are the orthogonal components; This is the serial number of the sensing electrode.

4. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 3, characterized in that, Also includes: The amplitude set obtained by the multiple sensing electrodes at the same time is constructed into a value map, and the phase set is constructed into a phase map.

5. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 4, characterized in that, The flow parameters include a velocity field, and the calculation steps for the velocity field include: The velocity field is calculated using the optical flow method based on the amplitude map or phase map sequence at at least two different times.

6. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 5, characterized in that, The flow parameters include mass flow rate, and the calculation steps for the mass flow rate include: The amplitude diagram is used as the relative concentration distribution of particles, and combined with the flow velocity field, it is obtained by integrating the cross-section of the pipe.

7. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 4, characterized in that, include: Statistical analysis of the phase diagram was performed to obtain physical property parameters characterizing the particulate matter.

8. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 7, characterized in that, The step of performing statistical analysis on the phase diagram includes: The global average value and global standard deviation of the phase diagram are calculated and used as the physical property parameters.

9. The gas-solid two-phase flow measurement method based on an array electrostatic sensor according to claim 1, characterized in that, The specific steps of the synchronous demodulation are as follows: The response signal is amplified by using a phase-locked loop amplification process with a reference signal and a quadrature reference signal that are in the same frequency as the multiphase periodic potential, respectively, to obtain the in-phase component and the quadrature component.

10. A gas-solid two-phase flow measurement system based on an array electrostatic sensor, and a gas-solid two-phase flow measurement method based on an array electrostatic sensor according to any one of claims 1-9, characterized in that, include: The spatiotemporal coding modulation module is used to apply a set of multiphase periodic potentials to the upstream spatiotemporal coding modulator to form a spatiotemporal coding excitation field in the pipeline, thereby modulating the electrical characteristics of the flowing particle cloud. The synchronous demodulation sensing module is used to acquire response signals through a downstream synchronous sensing array and synchronously demodulate the response signals to obtain in-phase components characterizing the in-phase response and quadrature components characterizing the quadrature response. The parameter calculation module is used to calculate the flow parameters based on the in-phase component and the quadrature component.