Method for speculating duty ratio-flow characteristic based on duty ratio-frequency response characteristic of high-speed switch valve

Abstract

The invention discloses a method for speculating a duty ratio-flow characteristic based on a duty ratio-frequency response characteristic of a high-speed switch valve, and belongs to the technical field of high-speed switch valves. The method comprises the following steps: firstly, acquiring a duty ratio-frequency response characteristic curve of the high-speed switching valve in a target driving mode, extracting corresponding controllable duty ratio upper and lower limits under different working frequencies based on the curve, and determining a linear region range of the duty ratio-flow characteristic curve according to a duty ratio range determined by the upper and lower limits; furthermore, actual flow data at two end points in the range are detected, and a linear flow prediction straight line under the frequency is obtained through fitting, so that a linear region of a complete duty ratio-flow characteristic curve can be rapidly predicted without point-by-point detection. According to the method, only one duty ratio-frequency response characteristic curve needs to be obtained, the flow linear regions under all the working frequencies can be predicted, the duty ratio-flow characteristic detection efficiency is remarkably improved, and the problems that a traditional method is long in detection time consumption and low in precision are solved.

Description

Technical Field

[0001] This invention belongs to the field of high-speed switching valve technology, specifically relating to a method for inferring duty cycle-flow characteristics based on the duty cycle-frequency response characteristics of a high-speed switching valve. Background Technology

[0002] As a core component of digital hydraulic systems, high-speed switching valves control flow and pressure with high precision through high-frequency opening and closing actions. They have advantages such as fast response speed, high reliability, and strong anti-pollution ability, and have been widely used in aerospace, engineering machinery and high-end manufacturing fields.

[0003] In hydraulic systems, the performance of high-speed switching valves directly affects the system's control accuracy and dynamic response. Duty cycle-frequency response and duty cycle-flow characteristics are key indicators for evaluating the performance of high-speed switching valves. The duty cycle-frequency response describes the highest frequency at which the high-speed switching valve can operate normally under different duty cycles, while the duty cycle-flow characteristic describes the output flow rate of the high-speed switching valve under different duty cycles.

[0004] In existing technologies, the acquisition of duty cycle-flow characteristics mainly relies on direct detection methods (such as using flow meters or measuring cups) or indirect detection methods (such as analysis via hydraulic cylinder movement). However, these methods have the following limitations: First, direct detection methods are affected by flow fluctuations, have low detection accuracy, and are time-consuming. For example, traditional methods require more than 40 minutes to detect a duty cycle-flow curve at a fixed frequency. Second, indirect detection methods require multiple experiments to construct a complete curve, which is inefficient and easily affected by changes in system parameters. Furthermore, although there is an inherent relationship between the dynamic characteristics, duty cycle-frequency response characteristics, and duty cycle-flow characteristics of high-speed switching valves, existing research has not fully explored the quantitative relationship between them, resulting in the inability to achieve rapid prediction.

[0005] Therefore, there is an urgent need for a method that can quickly infer duty cycle-flow characteristics based on duty cycle-frequency response characteristics in order to improve detection efficiency and accuracy. Summary of the Invention

[0006] The purpose of this invention is to overcome the shortcomings of existing technologies and provide a method for inferring duty cycle-flow characteristics based on the duty cycle-frequency response characteristics of a high-speed switching valve. This method obtains the duty cycle-frequency response curve of the high-speed switching valve experimentally, and utilizes its mapping relationship with the duty cycle-flow characteristics to quickly predict the linear range of the duty cycle-flow characteristics at different operating frequencies, thereby significantly shortening the detection time and ensuring accuracy.

[0007] To achieve the above objectives, the present invention adopts the following technical solution:

[0008] This invention provides a method for inferring duty cycle-flow characteristics based on the duty cycle-frequency response characteristics of a high-speed switching valve, comprising the following steps:

[0009] 1) Obtain the opening lag time t of the high-speed switching valve in the selected drive mode. don Start exercise time t mon Closing lag time t doff , the time to turn off exercise t moff Based on this, the duty cycle-frequency response characteristic curve of the high-speed switching valve under the selected drive mode is obtained. The duty cycle-frequency response characteristic curve represents the highest operating frequency at which the high-speed switching valve can achieve full opening and closing under different control signal duty cycles.

[0010] 2) Given a target operating frequency f of the high-speed switching valve in a selected drive mode, where f is lower than the maximum operating frequency of the high-speed switching valve in that drive mode, based on the duty cycle-frequency response characteristic curve obtained in step 1), determine the lower limit α of the controllable duty cycle at which the high-speed switching valve can operate normally under the target operating frequency through linear interpolation. min With upper limit α max The lower limit α min With upper limit α max The determined duty cycle range is the range of the linear region of the duty cycle-flow characteristic curve at the target operating frequency f;

[0011] 3) Within the range of the linear flow region, select the lower limit α. min With upper limit α max Two feature points are used to detect the actual output flow rate corresponding to the two feature points. By connecting the two feature points, the linear duty cycle-flow rate characteristic under the target operating frequency f can be obtained.

[0012] Preferably, the method for generating the duty cycle-frequency response curve in step 1) is as follows: First, a dynamic characteristic mathematical model of the multi-field coupling of electric field, magnetic field, and mechanical field of the high-speed switching valve is established. Then, the opening lag time t of the high-speed switching valve in the selected driving mode is derived through this dynamic characteristic mathematical model. don Start exercise time t mon Closing lag time t doff , the time to turn off exercise t moff The quantitative correlation between the duty cycle and operating frequency of the control signal is established; then, based on the critical condition that the high-speed switching valve can achieve complete opening and closing, the highest operating frequency corresponding to different duty cycles is calculated; finally, the mapping relationship between each duty cycle and the corresponding highest operating frequency is fitted to generate the duty cycle-frequency response characteristic curve.

[0013] Preferably, the lower limit α of the controllable duty cycle in step 2) min With upper limit α maxThe specific method is as follows: On the duty cycle-frequency response curve, determine two points whose vertical axis values ​​correspond to the target operating frequency f. Each of the two points corresponds to a duty cycle, and the duty cycle is the value of the horizontal axis of that point. The smaller of the two duty cycles is used as the lower limit α. min The larger one is used as the upper limit α max .

[0014] This invention also provides a system for inferring duty cycle-flow characteristics based on the duty cycle-frequency response characteristics of a high-speed switching valve, used to implement the aforementioned method, comprising:

[0015] The frequency response characteristic acquisition module is used to acquire the duty cycle-frequency response characteristic curve of the high-speed switching valve in the selected drive mode;

[0016] The controllable duty cycle determination module is used to determine the lower and upper limits of the controllable duty cycle that the high-speed switching valve can operate normally at the target operating frequency based on the duty cycle-frequency response characteristic curve obtained by the frequency response characteristic acquisition module.

[0017] The linear region definition module is used to define the lower and upper limits of the controllable duty cycle obtained by the controllable duty cycle determination module as the lower and upper limits of the duty cycle of the linear region of the flow rate of the duty cycle-flow characteristic curve.

[0018] The flow fitting module is used to fit and generate a linear flow prediction line based on the actual flow detection data of two feature points, the lower limit and the upper limit of the control signal duty cycle, within the duty cycle range of the flow linear zone obtained by the linear zone definition module.

[0019] The present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the aforementioned method.

[0020] Compared with the prior art, the present invention has the following effects and advantages:

[0021] 1) High efficiency: Using only 2 feature points, namely the upper and lower limits locked by the frequency response curve, it can predict the linear flow range at all operating frequencies, avoiding the cumbersome process of 30-50 measurement points in traditional methods, and reducing the duty cycle-flow characteristic detection time at a fixed frequency from 40 minutes to 5 minutes.

[0022] 2) High accuracy: The fitted straight line is based on the linear correlation of "duty cycle-displacement-flow rate", with small prediction error. The maximum prediction error of the duty cycle range in the dead zone and saturation zone does not exceed 0.336%, and the maximum prediction error of the flow rate in the linear zone is 65 mL / min, which meets the engineering control requirements.

[0023] 3) Universality: High-speed switching valves applicable to different drive modes, providing support for optimized control of digital hydraulic systems. Attached Figure Description

[0024] Figure 1 This is a schematic diagram showing the relationship between the duty cycle-frequency response curve and the duty cycle-flow characteristic curve of a high-speed switching valve.

[0025] Figure 2 This is a comparison chart of the linear region prediction results of the duty cycle-flow characteristic curves at different frequencies.

[0026] Figure 3 This is an error analysis diagram of a fast prediction method for the linear flow region. Detailed Implementation

[0027] Preferred embodiments of the invention will now be described in more detail. While preferred embodiments of the invention are described below, it should be understood that the invention can be implemented in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that the invention will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.

[0028] This invention provides a method for inferring duty cycle-flow characteristics based on the duty cycle-frequency response curve of a high-speed switching valve, enabling rapid prediction of the flow linear region. Its core logic is: the duty cycle-frequency response curve locks the upper and lower limits of the duty cycle in the flow linear region → the flow data at the upper and lower limits are detected → a predicted straight line is obtained through linear fitting of the two points. No point-by-point detection is required throughout the process. The derivation process is explained below:

[0029] First, a mathematical model of the dynamic characteristics of a high-speed switching valve with multi-field coupling of electric, magnetic, and mechanical fields is established. Then, the opening lag time t of the high-speed switching valve under a selected driving mode is derived using this model. don Start exercise time t mon Closing lag time t doff , the time to turn off exercise t moff The quantitative correlation between the duty cycle and operating frequency of the control signal is established; then, based on the critical condition that the high-speed switching valve can achieve complete opening and closing, the highest operating frequency corresponding to different duty cycles is calculated; finally, the mapping relationship between each duty cycle and the corresponding highest operating frequency is fitted to generate the duty cycle-frequency response characteristic curve.

[0030] The selected drive modes include single-voltage drive mode, three-voltage drive mode, and pre-load drive mode. The single-voltage drive mode divides one opening / closing cycle of the high-speed switching valve into an opening phase and a closing phase: during the opening phase, a fixed high voltage (e.g., 24V) is applied to provide sufficient electromagnetic force for the valve core to open; during the closing phase, zero voltage is applied, and the valve core is reset by spring force. The opening phase refers to the entire process from the triggering of the "open signal" to the complete opening of the valve core, and the closing phase refers to the entire process from the triggering of the "close signal" to the complete closing of the valve core. The three-voltage drive mode divides one opening / closing cycle of the high-speed switching valve into a high-voltage opening phase, a low-voltage maintenance phase, and a reverse high-voltage closing phase, representing an optimization and upgrade of the single-voltage drive. During the high-voltage opening phase, a fixed high voltage (e.g., 24V) is applied to rapidly increase the coil current and shorten the opening lag time; during the low-voltage maintenance phase, a low voltage (e.g., equivalent to 5-8V) is applied to maintain the coil current at a stable value 5%-10% above the critical closing current; during the reverse high-voltage closing phase, a reverse high voltage (e.g., -24V) is applied to accelerate the decay of the coil current and shorten the closing lag time. The preloaded multi-voltage drive mode is an optimized drive mode that adds a preload phase to the three-voltage drive mode. This means that one turn-on / off cycle is divided into a preload phase, a high-voltage turn-on phase, a low-voltage sustaining phase, and a reverse high-voltage turn-off phase. During the preload phase, a preload voltage (equivalent to 7-8V) is applied, causing the coil current to rise to the critical turn-on current in the single-voltage drive mode ahead of time. The following 5%-10% stable value shortens the start-up lag time; the voltage control logic for the remaining stages is consistent with the three-voltage drive mode.

[0031] For different driving methods, the total startup time can be further divided into startup lag time t. don Start exercise time t mon , Turn-on current adjustment time t aon and the on-current sustaining time t hon Among them, the start-up lag time t don The time from the initial moment of the opening phase to the moment the valve core begins to open; opening movement time t mon The time from the start of valve core opening to full opening; the opening current adjustment time t. aon This refers to the period from when the valve core is fully open to when the high-speed switching valve opens, during which the coil current reaches a stable and constant value I. son Time; On-current holding time t hon This refers to the coil current reaching a stable and constant value I during the turn-on phase. son The time during which this stable value is maintained until the "off signal" is triggered;

[0032] Correspondingly, the total shutdown time t off It can also be further divided into closing lag time tdoff , the time to turn off exercise t moff , current adjustment time t aoff and the shutdown current sustaining time t hoff Among them, the closing lag time t doff The time from the initial moment of the closing phase to the moment the valve core begins to close; closing movement time t moff The time from the valve core starting to close to complete closure; the closing current adjustment time t. aoff The time from when the valve core is fully closed until the coil current drops to a stable, constant value of 0 during the closing phase; the closing current holding time t. hoff This refers to the time during which the coil current reaches a stable and constant value of 0 during the shutdown phase and remains at that stable value until the "open signal" is triggered.

[0033] Then, the upper and lower limits of the controllable duty cycle (α) are determined based on the duty cycle-frequency response curve. min ɑ max Controllable duty cycle upper and lower limits α min ɑ max The duty cycle-frequency response curve is not chosen arbitrarily; its essence is "the highest frequency at which the valve core can fully open and close under different duty cycles," and its critical condition is "the total opening and closing time of the valve core ≤ the cycle time," that is... By using this condition to deduce the start-up and shutdown time parameters and substituting them into the target operating frequency period T, the upper and lower limits of the controllable duty cycle in the linear flow region can be obtained—this is the mathematical basis for "the frequency response curve can lock the duty cycle boundary".

[0034] Controllable duty cycle upper and lower limits α min ɑ max The following formula is derived from the duty cycle-frequency response curve:

[0035] , , ,

[0036] Where f is the target operating frequency, which is lower than the maximum operating frequency (the peak frequency of the duty cycle-frequency response curve), and T is the period of the target operating frequency.

[0037] Finally, within the aforementioned flow linear region, the control signal duty cycle is selected as the lower limit of the controllable duty cycle α. min With upper limit α max Two feature points are used to detect the corresponding actual output flow rate values. The two feature points are directly connected to fit the linear flow rate prediction line under the target operating frequency f, which can complete the rapid prediction of the linear flow rate without point-by-point detection.

[0038] The equation for the linear prediction line in the linear flow region (the core formula for fast fitting) is as follows:

[0039]

[0040] Among them, Q low The lower limit of controllable duty cycle α min The corresponding actual output flow rate; Q high The upper limit of the controllable duty cycle α max The corresponding actual output flow rate; α is the duty cycle of any control signal within the flow linear region ( Q(ɑ) is the predicted output flow rate (unit: mL / min) corresponding to any control signal duty cycle ɑ within the flow linear region.

[0041] Points corresponding to the upper and lower limits of the controllable duty cycle and points For two feature points, a linear relationship is directly constructed—due to the duty cycle-frequency response curve being locked. Internally, the valve core displacement is strictly linear with the duty cycle, while the flow rate and valve core displacement satisfy the linear flow equation. (where C) d S(x) is the flow coefficient, S(x) is the flow area of ​​the valve orifice, ΔP is the pressure difference between the inlet and outlet of the high-speed switching valve, and ρ is the density of the hydraulic oil. Therefore, the line connecting the two points is the predicted straight line for the linear region of the flow.

[0042] Through the above derivation process, a complete quantitative relationship of "frequency response curve → duty cycle boundary → flow prediction" is established, realizing a complete logical closed loop from duty cycle-frequency response characteristic curve to duty cycle-flow characteristic curve.

[0043] The present invention will now be described in further detail with reference to the accompanying drawings and embodiments.

[0044] Example

[0045] This invention is applicable to situations where the driving mode is a single-voltage driving mode, a three-voltage driving mode, or a preloaded multi-voltage driving mode. Here, the preloaded multi-voltage driving mode is taken as an example.

[0046] Step 1) Under preloaded multi-voltage drive mode, the duty cycle-frequency response curve of the high-speed switching valve was experimentally measured. Experimental conditions included: oil supply pressure 1 MPa, drive voltage 24 V, preload duty cycle of 35% when open, and preload duty cycle of 17% when closed. By adjusting the duty cycle and frequency, the highest operating frequency at which the high-speed switching valve could achieve full opening and closing was recorded, thus obtaining the duty cycle-frequency response curve, as shown below. Figure 1 The data for this curve is shown in Table 1.

[0047] Table 1. Duty cycle-frequency response characteristics of high-speed switching valves under preload drive.

[0048]

[0049] Step 2) Select a target operating frequency f below the maximum operating frequency limit. In this embodiment, 20Hz, 50Hz, and 100Hz are selected. Obtain the upper and lower limits α of the controllable duty cycle from the duty cycle-frequency response curve through linear interpolation. max and α min For the target operating frequency selected in this embodiment, the controllable duty cycle range is:

[0050] At 20Hz, the controllable duty cycle ranges from 6.2% to 94.4%.

[0051] At 50Hz, the controllable duty cycle ranges from 15% to 86.3%.

[0052] At 100Hz, the controllable duty cycle ranges from 29.5% to 72.6%.

[0053] The essence of the controllable duty cycle range is: the duty cycle range in which the valve core displacement can follow the control signal duty cycle to achieve a linear response at the target operating frequency f, that is, the duty cycle range corresponding to the linear flow range. Because within this range, the ratio of the opening and closing lag time of the high-speed switching valve to the opening and closing motion time is fixed, the valve core displacement is linearly related to the duty cycle, thus making the output flow rate linearly related to the duty cycle. Therefore, the duty cycle range determined by the lower limit and the upper limit is the duty cycle range corresponding to the linear flow range of the duty cycle-flow characteristic curve at the target operating frequency f.

[0054] Step 3) Within the duty cycle range of the linear flow region, select the lower limit α of the duty cycle. min With upper limit α max For two corresponding points, the actual output flow rate value is detected, and a linear flow prediction line at the target operating frequency f is fitted based on these detection points. This invention measures the lower limit α of the control signal duty cycle within the linear flow range. min With upper limit α max The corresponding flow rate is used to obtain two points on the duty cycle-flow characteristic curve. Connecting these two points directly yields a fitted straight line. This method significantly reduces the experimental workload. For the three target operating frequencies selected in this embodiment, the fitting process is as follows:

[0055] ①20Hz operating condition:

[0056] With controllable duty cycle limits of 6.2% and 94.4%, corresponding to flow rates of 11.2676 mL / min and 94.3661 mL / min, respectively, the fast prediction fitted line equation is: , where Q is the output flow rate (L / min).

[0057] ②50Hz operating condition:

[0058] With controllable duty cycle limits of 15% and 86.3%, corresponding to flow rates of 23.7288 mL / min and 76.2413 mL / min respectively, the fast prediction fitted line equation is:

[0059] ③100Hz operating condition:

[0060] With controllable duty cycle limits of 29.5% and 72.6%, corresponding to flow rates of 46.9491 mL / min and 79.6620 mL / min, respectively, the fast prediction fitted linear equation is:

[0061] The prediction accuracy of the prediction method of the present invention will be verified below:

[0062] The residual and error are calculated by comparing the predicted flow rate with the actual measured flow rate. The error calculation formula is as follows:

[0063]

[0064] Error analysis of the fitted lines obtained by applying the fast prediction method at three target operating frequencies of 20Hz, 50Hz, and 100Hz is as follows: Figure 3 As shown in Table 2, the key data are as follows.

[0065] Table 2 Error analysis of fast prediction methods at different frequencies

[0066]

[0067] Table 2 shows that when the operating frequency is 20Hz, the maximum prediction error of the fitted line is 4.194%, and the average error is 2.675%; when the operating frequency is 50Hz, the maximum prediction error of the fitted line is 6.147%, and the average error is 2.473%; and when the operating frequency is 100Hz, the maximum prediction error of the fitted line is 5.693%, and the average error is 3.062%.

[0068] The results show that the prediction error of this method is as follows: the maximum relative error is 6.147%, and the average is no more than 3.062%; the maximum absolute flow rate error is 65 mL / min, and the average is within 33 mL / min. In the technical field of high-speed switching valve flow characteristic prediction, the industry generally accepts an acceptable error standard of no more than 10% for relative error and no more than 100 mL / min for absolute flow rate error. Obviously, the prediction error of this invention is far lower than the conventional acceptable range in the industry. Therefore, the prediction error of this invention is within a reasonable and acceptable range, which fully verifies the effectiveness and reliability of this method.

[0069] Comparative Example

[0070] At the target frequency, the flow rates corresponding to multiple duty cycles within the predicted linear region are measured, and a straight line is fitted using ordinary least squares, such as... Figure 2 This method yields precise results, but requires a large number of experimental data points.

[0071] The linear fitting equation for fitting a line using ordinary least squares is in the form of:

[0072]

[0073] in, Output flow rate (L / min). Duty cycle (%) The slope This is the intercept.

[0074] The data were processed at different target operating frequencies, and the results are as follows:

[0075] ①20Hz operating condition:

[0076] With a controllable duty cycle range of 6.2% to 94.4%, the fitted equation for the flow rate linearity is as follows:

[0077]

[0078] The goodness of fit (R²) of the equation is 0.985, the standard error of the slope of the fitted line SE(b) is 0.0065, and the standard error of the intercept SE(a) is 0.458, indicating that the prediction accuracy is high and the model fits well.

[0079] ②50Hz operating condition:

[0080] With a controllable duty cycle range of 15% to 86.3%, the fitted linear equation for the flow rate is as follows:

[0081]

[0082] The goodness-of-fit (R²) of the equation is 0.9928, the standard error of the slope of the fitted line SE(b) is 0.0197, and the standard error of the intercept SE(a) is 1.223. Although the goodness-of-fit is high, the residual values ​​of the straight line data fitted by the least squares method follow a normal distribution, which means that the overall residual values ​​are low and relatively close. However, there are outliers in the fitted values ​​of individual data points, and the corresponding residual values ​​are larger. At the same time, the increase in operating frequency amplifies the influence of the current adjustment time that was not considered in the prediction method, resulting in a residual deviation greater than that at 50Hz than at 20Hz.

[0083] ③100Hz operating condition:

[0084] With a controllable duty cycle range of 29.5% to 72.6%, the fitted linear equation for the flow rate is as follows:

[0085]

[0086] The goodness-of-fit (R²) of the equation is 0.9601, the standard error of the slope of the fitted line SE(b) is 0.0127, and the standard error of the intercept SE(a) is 0.765. Under this high-frequency condition, there are fewer effective data points within the linear prediction range, but the outlier phenomenon of the model is reduced compared to the 50Hz condition.

[0087] The results of precise fitting in the comparative data set show that within the linear region predicted by the duty cycle-frequency response characteristics, there is indeed a good linear relationship between the flow rate and the control signal duty cycle (R² is higher than 0.96), verifying the reliability of the theoretical basis of this invention. However, as the operating frequency increases, outliers appear in the fitted values ​​of individual data points, resulting in larger residual values. Furthermore, the increased operating frequency amplifies the influence of the current adjustment time, which was not considered in the prediction method, leading to increased residual deviation. With further increases in operating frequency, the number of effective data points within the linear region prediction range decreases, resulting in reduced fitting accuracy. Therefore, the comparative fitting method is not applicable to medium-to-high frequency operating conditions.

[0088] The fitting results in the examples demonstrate that the method proposed in this invention can quickly construct a highly accurate linear model of duty cycle-flow characteristics using only two key data points. The prediction error of the method proposed in this invention is minimally affected by the operating frequency; the average prediction error of flow rate under all operating conditions is less than 33 mL / min. While ensuring prediction accuracy, the prediction time for the duty cycle-flow characteristic curve at a fixed frequency is reduced from 40 minutes to 5 minutes, achieving the core objective of rapid and accurate prediction.

[0089] In summary, this invention constructs a complete quantitative relationship of "frequency response curve → duty cycle boundary → flow prediction" through the above mathematical formulas. It not only explains the principle of rapid fitting, but also clarifies the inference logic of frequency response characteristics and flow characteristics, and fully realizes efficient and accurate prediction of the linear flow range of high-speed switching valves. This provides a practical tool for the application of high-speed switching valves in digital hydraulic systems.

[0090] The various embodiments of the present invention have been described above. These descriptions are exemplary and not exhaustive, nor are they limited to the disclosed embodiments. Many modifications and variations will be apparent to those skilled in the art without departing from the scope and spirit of the described embodiments.

Claims

1. A method for inferring duty cycle-flow characteristics based on the duty cycle-frequency response characteristics of a high-speed switching valve, characterized in that, Includes the following steps: 1) Obtain the opening lag time t of the high-speed switching valve in the selected drive mode. don Start exercise time t mon Closing lag time t doff , the time to turn off exercise t moff Based on this, the duty cycle-frequency response characteristic curve of the high-speed switching valve under the selected drive mode is obtained. The duty cycle-frequency response characteristic curve represents the highest operating frequency at which the high-speed switching valve can achieve full opening and closing under different control signal duty cycles. 2) Given a target operating frequency f of the high-speed switching valve in a selected drive mode, where f is lower than the maximum operating frequency of the high-speed switching valve in that drive mode, based on the duty cycle-frequency response characteristic curve obtained in step 1), determine the lower limit α of the controllable duty cycle at which the high-speed switching valve can operate normally under the target operating frequency through linear interpolation. min With upper limit α max The lower limit α min With upper limit α max The determined duty cycle range is the range of the linear region of the duty cycle-flow characteristic curve at the target operating frequency f; 3) Within the range of the linear flow region, select the lower limit α. min With upper limit α max Two feature points are used to detect the actual output flow rate corresponding to the two feature points. By connecting the two feature points, the linear duty cycle-flow rate characteristic under the target operating frequency f can be obtained.

2. The method according to claim 1, characterized in that, Step 1) The duty cycle-frequency response curve is obtained through experimental testing.

3. The method according to claim 1, characterized in that, The specific method for generating the duty cycle-frequency response curve in step 1) is as follows: First, establish a dynamic characteristic mathematical model of the multi-field coupling of electric field, magnetic field, and mechanical field of the high-speed switching valve. Then, derive the opening lag time t of the high-speed switching valve in the selected driving mode using this dynamic characteristic mathematical model. don Start exercise time t mon Closing lag time t doff , the time to turn off exercise t moff The quantitative correlation between the duty cycle and operating frequency of the control signal is established; then, based on the critical condition that the high-speed switching valve can achieve complete opening and closing, the highest operating frequency corresponding to different duty cycles is calculated; finally, the mapping relationship between each duty cycle and the corresponding highest operating frequency is fitted to generate the duty cycle-frequency response characteristic curve.

4. The method according to claim 1, characterized in that, The lower limit α of the controllable duty cycle mentioned in step 2) min With upper limit α max The specific method is as follows: On the duty cycle-frequency response curve, determine two points whose vertical axis values ​​correspond to the target operating frequency f. Each of the two points corresponds to a duty cycle, and the duty cycle is the value of the horizontal axis of that point. The smaller of the two duty cycles is used as the lower limit α. min The larger one is used as the upper limit α max .

5. The method according to claim 1, characterized in that, Step 1) The driving mode is a single-voltage driving mode, a three-voltage driving mode, or a pre-loaded multi-voltage driving mode.

6. The method according to claim 3, characterized in that, The critical condition under which the high-speed switching valve can achieve complete opening and closing is: ； Where T is the period of the target operating frequency f.

7. A system for inferring duty cycle-flow characteristics based on the duty cycle-frequency response characteristics of a high-speed switching valve, used to implement the method described in any one of claims 1-6, characterized in that, include: The frequency response characteristic acquisition module is used to acquire the duty cycle-frequency response characteristic curve of the high-speed switching valve in the selected drive mode; The controllable duty cycle determination module is used to determine the lower and upper limits of the controllable duty cycle that the high-speed switching valve can operate normally at the target operating frequency based on the duty cycle-frequency response characteristic curve obtained by the frequency response characteristic acquisition module. The linear region definition module is used to define the lower and upper limits of the controllable duty cycle obtained by the controllable duty cycle determination module as the lower and upper limits of the duty cycle of the linear region of the flow rate of the duty cycle-flow characteristic curve. The flow fitting module is used to fit and generate a linear flow prediction line based on the actual flow detection data of two feature points, the lower limit and the upper limit of the control signal duty cycle, within the duty cycle range of the flow linear zone obtained by the linear zone definition module.

8. An electronic device, characterized in that, It includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor, when executing the program, implements the method as described in any one of claims 1-6.

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