WO2020228025A1 - Method and apparatus for performing modeling analysis on data of type of machine tools - Google Patents

Method and apparatus for performing modeling analysis on data of type of machine tools Download PDF

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Publication number
WO2020228025A1
WO2020228025A1 PCT/CN2019/087284 CN2019087284W WO2020228025A1 WO 2020228025 A1 WO2020228025 A1 WO 2020228025A1 CN 2019087284 W CN2019087284 W CN 2019087284W WO 2020228025 A1 WO2020228025 A1 WO 2020228025A1
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mathematical model
data
machine tool
parameters
determined
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PCT/CN2019/087284
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French (fr)
Chinese (zh)
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罗章维
俞悦
冯程
曲颖
王焦剑
施内加斯丹尼尔
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西门子股份公司
西门子(中国)有限公司
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Priority to PCT/CN2019/087284 priority Critical patent/WO2020228025A1/en
Publication of WO2020228025A1 publication Critical patent/WO2020228025A1/en

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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F11/00Error detection; Error correction; Monitoring
    • G06F11/07Responding to the occurrence of a fault, e.g. fault tolerance
    • G06F11/14Error detection or correction of the data by redundancy in operation

Definitions

  • the invention relates to the field of monitoring, in particular to monitoring/analyzing the performance of mechanical tools.
  • a long and short memory neural network can be used to predict the remaining service life of mechanical tools. This method needs to know all the data of the machine tool from the beginning of use to the end of its life. Another method is to perform regression analysis by fitting the known data of machine tool parameters to a certain curve equation. It is often difficult to determine what type of curve equation should be used for a specific type of machine tool to obtain the most accurate fit.
  • a method for modeling and analyzing data of a type of mechanical tool includes obtaining first data of a plurality of parameters of each of the plurality of mechanical tools of the type; using at least one unknown coefficient according to a predefined rule to restrict at least one element of the first mathematical model,
  • the first mathematical model represents the relationship between the plurality of parameters; based on the acquired first data of the plurality of parameters of each machine tool and the constrained first mathematical model, it is determined to represent the Second data on the suitability of the first mathematical model to the type of machine tool; determine whether the first mathematical model is suitable based on the second data; and if it is determined that the first mathematical model is not suitable, obtain The new first mathematical model.
  • a device for modeling and analyzing data of one type of machine tool includes an obtaining unit, which is used to obtain the first data of a plurality of parameters of each of the plurality of mechanical tools of the type; a constraint unit, which is used to use at least one pair of unknown coefficients according to a predefined rule At least one component element of the first mathematical model is constrained, the first mathematical model represents the relationship between the plurality of parameters; and a determining unit, which is based on the acquired parameters of the plurality of parameters of each machine tool
  • the first data and the constrained first mathematical model determine second data representing the suitability of the first mathematical model to the type of machine tool, and determine the first mathematical model based on the second data Whether the model is suitable; wherein, if the determining unit determines that the first mathematical model is not suitable, the acquiring unit acquires a new first mathematical model.
  • a machine-readable medium is provided, and program instructions are stored, which when executed by a processor are used to perform the method according to the various embodiments of the present invention.
  • a modeling analysis system including a memory that stores program instructions; and a processor that runs the program instructions to execute the method according to various embodiments of the present invention.
  • the parameter data from a plurality of mechanical tools of the same type is used to check whether the current mathematical model is suitable for modeling the current type of mechanical tool, and when it is determined that it is not suitable, continue to check the next mathematical model , Which can find a more accurate mathematical model for modeling current types of mechanical tools.
  • the new first mathematical model is determined as the current first mathematical model, and the constraint is repeatedly executed for the current first mathematical model, and the second mathematical model is determined The data and the determination are appropriate.
  • the previous first mathematical model when it is determined that the previous first mathematical model is not suitable for modeling the current type of mechanical tool, it can be further judged whether the new first mathematical model is suitable. As a result, iteratively find a more suitable mathematical model for this type of machine tool.
  • constraining at least one component element of the first mathematical model according to a predefined rule includes at least for each independent variable in the first mathematical model, using the The first unknown coefficient in the at least one unknown coefficient is weighted and constrained and/or the second unknown coefficient in the at least one unknown coefficient is used for scaling.
  • weighting constraints on each independent variable in the first mathematical model can ensure that the dimensions of the equation on the left and right of the mathematical model are consistent, and the independent variables are scaled, taking into account the manufacturer’s The difference in scale.
  • the determining the second data includes determining, for each mechanical tool, based on the first data of the plurality of parameters of the mechanical tool, The at least one unknown coefficient of the constrained first mathematical model of the machine tool, thereby obtaining the second mathematical model of the machine tool; and the first parameter based on the plurality of parameters of each machine tool Data and the second mathematical model of each machine tool to determine the second data.
  • the current first mathematical model is first fitted to the first data of each mechanical tool, thereby determining the second mathematical model for each mechanical tool, and then according to the second mathematical model and each mechanical tool.
  • the first data of each machine tool is used to determine the second data, which considers the data of each machine tool to determine the second data indicating the suitability of the current first mathematical model to the current type of machine tool.
  • the determining the second data includes, for each machine tool, the first data and the machine tool based on the plurality of parameters of the machine tool
  • the second mathematical model of the tool determines the loss data for the mechanical tool, and the loss data represents the output data of the selected parameter determined according to the second mathematical model of each mechanical tool and the acquired selected
  • the current first mathematical model is suitable based on the loss data obtained by modeling the first data of each mechanical tool using the current first mathematical model, which is to determine whether the current first mathematical model is suitable It is used to model the current type of mechanical tools to provide a basis for judgment.
  • the first mathematical model is determined by using symbolic regression based on genetic algorithms; the method further includes when it is determined that the first mathematical model is not suitable, based on the The sum of a plurality of loss data determines the new first mathematical model through symbolic regression based on genetic algorithm.
  • the sum of loss data indicating the suitability of the current first mathematical model can be used as feedback and returned to the symbolic regression based on genetic algorithm to further optimize the mathematical model.
  • Model and thereby obtain the optimized mathematical model as the new first mathematical model, which increases the convergence speed of the entire algorithm and obtains the most suitable mathematical model faster.
  • the method further includes outputting the first mathematical model and the constrained first mathematical model for the type of machine tool when it is determined that the first mathematical model is suitable And/or a second mathematical model for each of the at least one target machine tool included in the plurality of machine tools.
  • a mathematical model that is more suitable for modeling certain parameter data of this type of machine tool can also be output for at least one target at one time.
  • At least one fitted mathematical model of the machine tool to provide accurate monitoring/analysis of the at least one target machine tool.
  • Figure 2 shows the first data of a plurality of parameters obtained from seven numerically controlled machine tools according to an embodiment of the present invention
  • 3A-3D show curves of a second mathematical model of a target mechanical tool acquired according to an embodiment of the present invention
  • Figure 4 shows a flowchart of a method for modeling and analyzing data of a type of mechanical tool according to another embodiment of the present invention
  • FIG. 5 shows a flowchart of a method for modeling and analyzing data of a type of mechanical tool according to another embodiment of the present invention
  • Figure 6 shows a block diagram of a device for modeling and analyzing data of a type of machine tool according to an embodiment of the present invention
  • Fig. 7 shows a modeling analysis system according to an embodiment of the present invention.
  • regression analysis is performed on the known parameter data from a specific mechanical tool, and a specific curve model is established. According to the model, the service life of the specific mechanical tool or the early warning of its failure can be predicted. It is unknown what form of model can be used in such regression analysis to obtain more accurate prediction results; and because the model is built only based on the known parameter data of a specific mechanical tool, it is difficult to ensure the accuracy of the model.
  • Fig. 1 shows a flowchart of a method 100 for modeling and analyzing data of a type of mechanical tool according to an embodiment of the present invention.
  • it is possible to simultaneously perform modeling analysis on data of a plurality of mechanical tools of the same type. It can be expected that only a part of the plurality of mechanical tools or one mechanical tool is the target mechanical tool of interest, and the data of other mechanical tools of the same type is introduced only to find the mathematical model form for the target mechanical tool more accurately. It can also be expected that the plurality of mechanical tools does not contain the target mechanical tool, but only to find the most suitable mathematical model for the type of mechanical tool. After the mathematical model is found, the mathematical model can be fitted to the target of the type. Machine tool data. It can also be expected that the plurality of machine tools are all target machine tools, and thus, the respective fitting mathematical models for the plurality of machine tools of the same type can be found at one time.
  • first data of a plurality of parameters of each of the plurality of machine tools is acquired, where the plurality of machine tools are the same type of machine tool, preferably, the so-called same type does not only refer to
  • These mechanical tools belong to the same type from the point of view of their functions/functions, which also means that these mechanical tools are all operated in the same or similar operating environment. For example, they are the same type of motors working in the same environment.
  • the multiple parameters of these mechanical tools are related to their performance. For example, for a motor, its operating temperature may indicate its performance and aging trend. Therefore, the operating temperature data of the motor can be obtained over time. In this case, multiple parameters can refer to the working temperature of the motor and the corresponding time.
  • the plural parameters are the temperature of the CNC machine tool and the corresponding time.
  • the chiller in order to maintain the predetermined temperature, the chiller needs to reach a certain cooling load, which means that each chiller needs Consuming a certain amount of energy, it is desirable to model the energy consumed by the chiller and the corresponding cooling load to predict the energy required to reach the predetermined cooling load or the cooling load that can be achieved under the predetermined energy. In this case, multiple parameters can be the energy consumed by the chiller and the corresponding cooling load.
  • the first data of a plurality of parameters for each machine tool can be obtained separately, and they can be stored for processing. It is expected that the first data of a plurality of parameters of each machine tool can be obtained through various types of sensors installed to the machine tool.
  • Figure 2 shows the first data obtained from seven CNC machine tools, where the x-axis represents time and the y-axis represents the reciprocal of the energy used. According to this embodiment, the energy used by this type of machine tool is modeled over time.
  • a first mathematical model is obtained, which can represent the relationship between a plurality of parameters related to the performance of each mechanical tool. For example, for motors or CNC machine tools, it can represent the relationship between temperature and time, or the relationship between used energy and time.
  • the first mathematical model is used here, this does not mean any limitation, and is only for distinguishing from the second mathematical model later.
  • the first mathematical model obtained can be any mathematical model.
  • the first mathematical model obtained can be any mathematical model.
  • the first mathematical model can be obtained in a variety of ways.
  • a plurality of expected mathematical models can be stored in a memory, and one of the mathematical models can be obtained from the memory as the first mathematical model.
  • the first mathematical model can be a mathematical model determined by using a symbolic regression method based on genetic algorithms. This will be described in more detail in the following embodiments.
  • the mathematical model can be selected according to the object to be monitored/analyzed. For example, when the object to be monitored/analyzed does not involve periodic motion, for example, when the vibration parameters of the machine tool are not monitored, it is not necessary to select operations such as sine and cosine These periodic mathematical models can speed up the convergence rate of the entire analysis.
  • At 130 at least one component element in the acquired first mathematical model is restricted.
  • only the structure of the acquired first mathematical model may be retained, and one or more of the constituent elements including independent variables, arithmetic functions, and/or constants may be respectively restricted.
  • An offset can be added to the first mathematical model.
  • At least one unknown coefficient may be used to perform one or more constraints on the first mathematical model according to a predefined rule.
  • a first unknown coefficient in at least one unknown coefficient is used for weighted constraint and/or a second unknown coefficient in at least one unknown coefficient is used for Scaled.
  • the independent variables in the first mathematical model can be weighted and constrained to ensure that the dimensions of both sides of the equation of the mathematical model are consistent, and the independent variables can be scaled to consider the difference of each machine tool at the factory setting. Further preferably, the calculation function in the first mathematical model can be weighted and restricted to further ensure that the dimensions of both sides of the equation of the mathematical model are consistent.
  • constraint rules For example, for a mathematical model representing sensor data y that changes with time t, the following constraint rules can be predefined:
  • m, c, n, K, O are unknown coefficients.
  • m is a weighted constraint on the independent variable t
  • c is a scaled on the independent variable t.
  • m 1 , m 2 , c 1 , c 2 , n 1 , n 2 , K 1 , and O are all unknown coefficients.
  • the second data of the suitability of this type of machine tool in other words, the second data indicating the accuracy of modeling the first data of the plurality of parameters of this type of machine tool using the current first mathematical model .
  • At least one unknown coefficient for constraining the first mathematical model can be determined for each machine tool. This can be achieved by fitting the first data of a plurality of parameters from each machine tool based on the above-mentioned constrained first mathematical model, such as the above formula (2), to solve the above-mentioned constrained first mathematical model Unknown coefficient to achieve.
  • a second mathematical model for each machine tool is obtained.
  • the second mathematical model is a fitting mathematical model for each mechanical tool obtained by respectively fitting the constrained first mathematical model to the first data of each mechanical tool.
  • the above constrained first mathematical model can be used to fit the parameter data of each of these 7 different mechanical tools , Thereby obtaining 7 curves for the 7 different mechanical tools, and then obtaining 7 second mathematical models, and each second mathematical model is for each of the 7 different mechanical tools.
  • y 1 n 11 *exp(n 21 *tanh(-(m 11 *t+c 11 )))+(m 21 *t+c 21 ) K11 +O 1 (3).
  • y 2 n 12 *exp(n 22 *tanh(-(m 12 *t+c 12 )))+(m 22 *t+c 22 ) K12 +O 2 (4).
  • m 1i , m 2i , c 1i , c 2i , n 1i , n 2i , K 1i , O i are all known coefficients derived by curve fitting for parameter data of different mechanical tools.
  • the loss for each mechanical tool can be determined, for example, by substituting the data of multiple parameters of each mechanical tool into the corresponding second mathematical model to obtain the parameter value derived from the second mathematical model The difference between the actual parameter value of the machine tool and the actual parameter value to determine the loss data for each machine tool.
  • the total loss data for all machine tools of the same type can be determined.
  • the total loss data can be calculated by using the following formula to sum the loss data for each machine tool.
  • y i data is the sensor measurement data of the parameters of the machine tool acquired at 110.
  • the second data is determined at 140, it can be determined at 150 whether the current first mathematical model is suitable based on the second data, that is, whether the current first mathematical model is suitable for modeling the current type of machine tool.
  • whether the first mathematical model is suitable can be determined based on the above-mentioned total loss data. For example, the total loss data can be compared with a predetermined threshold range. If the total loss data is within the predetermined threshold range, it indicates that the first mathematical model is acceptable, that is, the form of the currently used first mathematical model is appropriate , No need to reacquire. Otherwise, it indicates that the first mathematical model needs to be reacquired.
  • the total loss data determined for the previous first mathematical model can be compared with the total loss data determined according to the current first mathematical model, and whether the current first mathematical model is suitable can be determined according to the comparison result.
  • the current first mathematical model is not suitable for modeling the current type of mechanical tool, or the accuracy of modeling the current type of mechanical tool using the current first mathematical model does not meet the predetermined standard, you need to return 120 obtain a new first mathematical model to represent the relationship between a plurality of parameters related to the performance of a plurality of machine tools. For example, a new first mathematical model can be obtained from the memory. After that, the process from 130 to 150 is repeated for the new first mathematical model.
  • the current first mathematical model is suitable, it indicates that the accuracy of modeling the current type of mechanical tool using the current first mathematical model meets the predetermined standard.
  • the first mathematical model or /The first mathematical model constrained so that the form of the first mathematical model is used when modeling the same type of machine tool later.
  • the second mathematical model for each machine tool in at least one machine tool as the target machine tool among the plurality of machine tools can be output , For further processing.
  • the second mathematical model of each target machine tool can be used to predict the remaining service life of the machine tool.
  • a predetermined threshold for sensor data such as temperature data
  • the predetermined threshold represents parameter data corresponding to the end of the life of the machine tool, such as the temperature at the end of its life.
  • the time corresponding to when the sensor data yi reaches the predetermined threshold can be determined, and the current time can be easily determined according to the determined time and the current time.
  • the second mathematical model can be used to predict the energy consumed by the chiller as described above to reach the predetermined cooling load, and vice versa.
  • the following constrained first mathematical model has the lowest loss data, or the loss data meets a predetermined standard
  • the constrained first mathematical model can be output. Among them, a 1 , a 2 , a 3 , a 4 , a 5 , b 1 , b 2 , b 3 and D are unknown coefficients.
  • the second mathematical model of the target machine tool obtained according to the first mathematical model can also be output.
  • the above-mentioned second mathematical models (8)-(11) can be output for further analysis of these target machine tools. It can be seen from the above second mathematical model (8)-(11) that there are some items with very small coefficients, such as 10-13 . In regression analysis according to the prior art, these items with very small coefficients are often ignored. Obviously, using the above-mentioned method according to the embodiment of the present invention, a more accurate model can be obtained.
  • 3A-3D show the curves of the above-mentioned second mathematical model. The x-axis represents time, and the y-axis represents the value related to sensor data, specifically the reciprocal of the energy used.
  • FIG. 4 shows a flowchart of a method 200 for modeling and analyzing data of a type of machine tool according to another embodiment of the present invention.
  • a symbolic regression method based on genetic algorithm is used to obtain the first mathematical model, and the first mathematical model is gradually optimized based on the second data determined above.
  • the first mathematical model is determined by using a symbolic regression method based on genetic algorithm based on the acquired data.
  • the same processing as 130 is performed.
  • the second data representing the suitability of the current first mathematical model for modeling the type of machine tool is determined at 240, at 250, the second data for the current first mathematical model is compared with the previous first mathematical model.
  • Compare the second data of the model for example, calculate the difference between the second data for the current first mathematical model and the second data for the previous mathematical model, and it can also be expected to calculate the second data for the current first mathematical model and For the difference between the average values of the second data of all previous first mathematical models; based on the comparison result, it is determined whether the current first mathematical model is suitable.
  • the comparison result can be compared with a predetermined threshold. It is said that the above determined difference can be compared with a predetermined threshold. When the difference is less than the predetermined threshold, it indicates that as the first mathematical model is optimized using the symbolic regression method based on genetic algorithms, the current first mathematical model is used to The loss of parameter data modeling of the current type of mechanical tool is reduced in line with expectations.
  • the current first mathematical model can proceed to 260 to output the current first mathematical model, the constrained current first mathematical model, or the second mathematical model corresponding to the target mechanical tool; If the difference is still greater than the predetermined threshold, it means that the current first mathematical model still needs to be optimized, and the currently obtained second data is returned to 220, which is used in the symbolic regression method based on genetic algorithm to continue to optimize the first mathematical model.
  • FIG. 3 shows a flowchart of a method 300 for modeling and analyzing data of a type of machine tool according to another embodiment of the present invention.
  • the processes 310-340 are the same as the processes 110-140 according to the method 100 shown in Fig. 1 described above.
  • the second data corresponding to the smallest second data is determined by comparing the current second data with the second data determined for the previous first mathematical model at 341 Model, and store the second mathematical model corresponding to the smallest second data, and determine at 342 whether a predetermined number of first mathematical models have been repeatedly acquired, if it is determined that a predetermined number of first mathematical models have been acquired, then 360 directly outputs the first mathematical model corresponding to the current smallest second data or the second mathematical model for the target machine tool among the plurality of second mathematical models.
  • the second data determined for the current first mathematical model meets a predetermined standard, for example, the same as that determined for the previous first mathematical model. Whether the difference of the second data is less than the predetermined threshold, if it is satisfied, output the current first mathematical model or the second mathematical model for the target machine tool from the plurality of second mathematical models determined according to the current first mathematical model at 360, if If not satisfied, return to 320 to obtain a new first mathematical model.
  • a predetermined standard for example, the same as that determined for the previous first mathematical model.
  • FIG. 4 shows a device 10 for modeling and analyzing data of a type of mechanical tool according to an embodiment of the present invention.
  • the device 10 includes an acquisition unit 11, a restriction unit 12, a determination unit 13, and an output unit 14.
  • the obtaining unit 11 obtains data of a plurality of parameters of a plurality of mechanical tools of this type and the current first mathematical model.
  • the device 10 may include a memory for storing data of a plurality of parameters and a plurality of first mathematical models that may be used.
  • the first mathematical model represents the relationship between a plurality of parameters related to the performance of this type of machine tool.
  • the acquisition unit 11 has processing capability, which can determine the first mathematical model by using symbolic regression based on genetic algorithm, or it can also be expected to use symbolic regression based on genetic algorithm to determine the first mathematical model in other locations.
  • the acquiring unit 11 only acquires the determined first mathematical model.
  • the restriction unit 12 receives the first mathematical model from the acquisition unit 11, and is configured to use at least one unknown coefficient to restrict at least one component element of the first mathematical model according to a predefined rule.
  • Pre-defined rules can be stored in memory.
  • the at least one component element refers to one or more of the independent variables, operation functions, constants, and/or offsets in the first mathematical model.
  • the constraint unit 12 uses the first unknown coefficient in the at least one unknown coefficient for weighted constraint and/or uses the second unknown coefficient in the at least one unknown coefficient for each independent variable in the current first mathematical model.
  • the coefficients are scaled.
  • the determining unit 13 receives the constrained first mathematical model from the constraining unit 12 and the first data of the plural parameters of the plural mechanical tools from the acquiring unit 11, based on the value of each of the plural mechanical tools of the same type.
  • the first data of a plurality of parameters and the constrained first mathematical model determine the second data indicating the suitability of the current first mathematical model to the type of machine tool, and determine the current first mathematical model based on the second data Whether the model is suitable, that is, whether it is necessary to obtain a new first mathematical model. If the determining unit 13 determines that a new first mathematical model needs to be acquired, the acquiring unit 11 is notified to acquire the new first mathematical model as the current first mathematical model, which is further processed by the constraint unit 12 and the determining unit 13.
  • the determining unit 13 determines the first constrained mathematical model for the machine tool based on the first data of the plurality of parameters of the machine tool At least one unknown coefficient of, thereby obtaining a second mathematical model for the machine tool; and determining the second data based on the first data of the plurality of parameters of each machine tool and the corresponding second mathematical model.
  • the second data is loss data, which represents the difference between the output data of the selected parameter determined according to the second mathematical model of each machine tool and the acquired measurement value of the selected parameter The difference.
  • the determining unit 13 determines the loss data for the machine tool based on the first data and the second mathematical model of the plurality of parameters of the machine tool; determines the loss data for the plurality of machine tools The sum of the data obtains the total loss data; and based on the total loss data, it is determined whether the current first mathematical model is suitable.
  • the first mathematical model is determined by using symbolic regression based on genetic algorithm; therefore, when the determining unit 13 determines that the first mathematical model is not suitable, the acquiring unit may use genetic algorithm-based Symbolic regression determines a new first mathematical model based on the sum of loss data.
  • the output unit 14 is used to output the current first mathematical model, the constrained current first mathematical model, or the second mathematical model for the target machine tool among the plurality of machine tools. .
  • the device 10 further includes an evaluation unit 15 for predicting the remaining service life of the corresponding mechanical tool based on the output second mathematical model for each mechanical tool.
  • Fig. 7 shows a modeling analysis system 20 according to an embodiment of the present invention.
  • the modeling analysis system 20 includes a memory 21 and a processor 22.
  • the memory 21 stores computer program instructions, which when executed, can implement the methods according to the embodiments of the present disclosure.
  • the processor 22 is configured to run these program instructions to implement the method according to the embodiments of the present disclosure as described above. It can be understood that the memory 21 is in a remote location, such as the cloud, and the processor 22 receives program instructions from the cloud through the network.
  • Exemplary embodiments of the present disclosure cover both of the following: creating/using the computer program/software of the present disclosure from the beginning, and converting an existing program/software to the computer program/software using the present disclosure by means of updating.
  • a machine such as a computer
  • a machine such as a computer
  • the readable medium has computer program code stored thereon, and the computer program code when executed
  • the computer or the processor executes the method according to the embodiments of the present disclosure.
  • the machine-readable medium is, for example, an optical storage medium or a solid-state medium supplied with or as part of other hardware.
  • the computer program for executing the method according to the various embodiments of the present disclosure may also be distributed in other forms, such as via the Internet or other wired or wireless telecommunication systems.
  • the computer program can also be provided on a network such as the World Wide Web, and can be downloaded from such a network to the working computer of the processor.

Abstract

Provided are a method and an apparatus for performing modeling analysis on data of a type of machine tools. The method comprises: acquiring first data of multiple parameters of each of multiple machine tools which are of the same type; constraining, according to a pre-determined rule, at least one component of a first mathematical model by using at least one unknown coefficient, the first mathematical model representing a relationship between the multiple parameters; determining, on the basis of the acquired first data of the multiple parameters of each of the machine tools and the constrained first mathematical model, second data representing a fitting level of the first mathematical model for the type of the machine tools; determining, on the basis of the second data, whether the first mathematical model fits; and if the first mathematical model is determined as not fitting, acquiring a new first mathematical model. In this way, the invention provides an analysis model better fitting a specific type of machine tools, thereby enabling acquisition of an accurate data analysis result.

Description

对一种类型机械工具的数据进行建模分析的方法和设备Method and equipment for modeling and analyzing data of one type of mechanical tool 技术领域Technical field
本发明涉及监测领域,尤其涉及对机械工具的性能进行监测/分析。The invention relates to the field of monitoring, in particular to monitoring/analyzing the performance of mechanical tools.
背景技术Background technique
在工业系统中,诸如电机、变频器、齿轮箱等的机械工具的性能对整个工业系统的正常运行起到十分重要的作用。及时监测这些机械工具的状态、对它们进行故障诊断和预警,或者对它们的使用寿命进行预测,有可能在机械工具发生真正的故障之前或者达到其使用寿命之前,及时进行预报,从而可以确保这些机械工具以良好的性能运转。通常,通过对来自机械工具的数据进行监测/分析实现上述目的,例如,能够通过对从机械工具获得的、与其性能相关的参数随时间变化的规律进行分析,来预测该机械工具的剩余使用寿命。In an industrial system, the performance of mechanical tools such as motors, frequency converters, gearboxes, etc. play a very important role in the normal operation of the entire industrial system. Timely monitoring of the status of these mechanical tools, fault diagnosis and early warning of them, or prediction of their service life, it is possible to predict in time before the mechanical tools actually fail or reach their service life, so as to ensure these Machine tools operate with good performance. Usually, the above-mentioned purpose is achieved by monitoring/analyzing the data from the machine tool. For example, it is possible to predict the remaining service life of the machine tool by analyzing the time-varying law of the parameters related to its performance obtained from the machine tool. .
根据现有的方法,能够利用长短期记忆神经网络(Long short memory network)来预测机械工具的剩余使用寿命。这种方法需要知道该机械工具从开始使用直到寿命终止的所有数据。另一种方法是通过将机械工具参数的已知数据拟合成一定的曲线方程进行回归分析。针对特定类型的机械工具应当使用什么类型的曲线方程才能获得最准确的拟合往往是难以确定的。According to existing methods, a long and short memory neural network (Long short memory network) can be used to predict the remaining service life of mechanical tools. This method needs to know all the data of the machine tool from the beginning of use to the end of its life. Another method is to perform regression analysis by fitting the known data of machine tool parameters to a certain curve equation. It is often difficult to determine what type of curve equation should be used for a specific type of machine tool to obtain the most accurate fit.
期望提供对机械工具的数据执行的改进监测/分析。It is desirable to provide improved monitoring/analysis of data execution on machine tools.
发明内容Summary of the invention
预期提供用于对机械工具的数据进行建模分析的方法和设备,其能够提供针对一类型机械工具更合适的分析模型,获得更准确的数据分析结果,例如更准确地执行故障预警和/或寿命预测。It is expected to provide a method and equipment for modeling and analysis of machine tool data, which can provide a more suitable analysis model for a type of machine tool, and obtain more accurate data analysis results, such as more accurate execution of fault warning and/or Life prediction.
根据一个方面,提供对一种类型的机械工具的数据进行建模分析的方法。该方法包括获取所述类型的复数个机械工具中的每个机械工具的复数个 参数的第一数据;根据预定义的规则使用至少一个未知系数对第一数学模型的至少一个组成元素进行约束,所述第一数学模型表示所述复数个参数之间的关系;基于获取的所述每个机械工具的所述复数个参数的所述第一数据和经约束的第一数学模型,确定表示所述第一数学模型对所述类型的机械工具的适合程度的第二数据;基于所述第二数据确定所述第一数学模型是否适合;和如果确定所述第一数学模型不适合,则获取新的第一数学模型。According to one aspect, a method for modeling and analyzing data of a type of mechanical tool is provided. The method includes obtaining first data of a plurality of parameters of each of the plurality of mechanical tools of the type; using at least one unknown coefficient according to a predefined rule to restrict at least one element of the first mathematical model, The first mathematical model represents the relationship between the plurality of parameters; based on the acquired first data of the plurality of parameters of each machine tool and the constrained first mathematical model, it is determined to represent the Second data on the suitability of the first mathematical model to the type of machine tool; determine whether the first mathematical model is suitable based on the second data; and if it is determined that the first mathematical model is not suitable, obtain The new first mathematical model.
根据另一方面,提供对一种类型的机械工具的数据进行建模分析的设备。该设备包括获取单元,其用于获取所述类型的复数个机械工具中的每个机械工具的复数个参数的第一数据;约束单元,其用于根据预定义的规则使用至少一个未知系数对第一数学模型的至少一个组成元素进行约束,所述第一数学模型表示所述复数个参数之间的关系;和确定单元,其基于获取的所述每个机械工具的所述复数个参数的所述第一数据和经约束的第一数学模型,确定表示所述第一数学模型对所述类型的机械工具的适合程度的第二数据,并且基于所述第二数据确定所述第一数学模型是否适合;其中,如果所述确定单元确定所述第一数学模型不适合,则所述获取单元获取新的第一数学模型。According to another aspect, a device for modeling and analyzing data of one type of machine tool is provided. The device includes an obtaining unit, which is used to obtain the first data of a plurality of parameters of each of the plurality of mechanical tools of the type; a constraint unit, which is used to use at least one pair of unknown coefficients according to a predefined rule At least one component element of the first mathematical model is constrained, the first mathematical model represents the relationship between the plurality of parameters; and a determining unit, which is based on the acquired parameters of the plurality of parameters of each machine tool The first data and the constrained first mathematical model determine second data representing the suitability of the first mathematical model to the type of machine tool, and determine the first mathematical model based on the second data Whether the model is suitable; wherein, if the determining unit determines that the first mathematical model is not suitable, the acquiring unit acquires a new first mathematical model.
根据另一方面,提供机器可读介质,存储有程序指令,当被处理器执行时,其用于执行根据本发明的各个实施例所述的方法。According to another aspect, a machine-readable medium is provided, and program instructions are stored, which when executed by a processor are used to perform the method according to the various embodiments of the present invention.
根据再一方面,提供建模分析系统,包括存储器,其存储程序指令;和处理器,其运行所述程序指令以执行根据本发明的各个实施例所述的方法。According to another aspect, a modeling analysis system is provided, including a memory that stores program instructions; and a processor that runs the program instructions to execute the method according to various embodiments of the present invention.
根据本发明的任意方面,使用来自同一类型的复数个机械工具的参数数据检验当前的数学模型是否适合用于对当前类型的机械工具进行建模,当确定不适合时,继续检验下一个数学模型,由此能够找到更准确地对当前类型的机械工具进行建模的数学模型。According to any aspect of the present invention, the parameter data from a plurality of mechanical tools of the same type is used to check whether the current mathematical model is suitable for modeling the current type of mechanical tool, and when it is determined that it is not suitable, continue to check the next mathematical model , Which can find a more accurate mathematical model for modeling current types of mechanical tools.
根据本发明的任意方面的一个实施例,将新的第一数学模型确定为当前的第一数学模型,并且针对该当前的第一数学模型,重复执行所述约束,所述确定所述第二数据和所述确定是否适合。According to an embodiment of any aspect of the present invention, the new first mathematical model is determined as the current first mathematical model, and the constraint is repeatedly executed for the current first mathematical model, and the second mathematical model is determined The data and the determination are appropriate.
根据该实施例,在确定了之前的第一数学模型不适合对当前类型的机械工具建模时,能够进一步判断新的第一数学模型是否适合。由此,能够迭代地找到针对该类型机械工具更适合的数学模型。According to this embodiment, when it is determined that the previous first mathematical model is not suitable for modeling the current type of mechanical tool, it can be further judged whether the new first mathematical model is suitable. As a result, iteratively find a more suitable mathematical model for this type of machine tool.
根据本发明的任意方面的另一个实施例,根据预定义的规则对所述第一数学模型的至少一个组成元素进行约束至少包括针对所述第一数学模型中的每个自变量,使用所述至少一个未知系数中的第一未知系数进行加权约束和/或使用所述至少一个未知系数中的第二未知系数进行刻度化。According to another embodiment of any aspect of the present invention, constraining at least one component element of the first mathematical model according to a predefined rule includes at least for each independent variable in the first mathematical model, using the The first unknown coefficient in the at least one unknown coefficient is weighted and constrained and/or the second unknown coefficient in the at least one unknown coefficient is used for scaling.
根据该实施例,对第一数学模型中的每个自变量进行加权约束能够确保数学模型中等式左右的量纲一致,而对自变量进行刻度化,则考虑了各个机械工具在出厂时厂商进行刻度化的差异。According to this embodiment, weighting constraints on each independent variable in the first mathematical model can ensure that the dimensions of the equation on the left and right of the mathematical model are consistent, and the independent variables are scaled, taking into account the manufacturer’s The difference in scale.
根据本发明的任意方面的另一个实施例,所述确定所述第二数据包括对于所述每个机械工具,基于所述机械工具的所述复数个参数的所述第一数据,确定针对所述机械工具的经约束的第一数学模型的所述至少一个未知系数,从而获得所述机械工具的第二数学模型;和基于所述每个机械工具的所述复数个参数的所述第一数据和所述每个机械工具的所述第二数学模型,确定所述第二数据。According to another embodiment of any aspect of the present invention, the determining the second data includes determining, for each mechanical tool, based on the first data of the plurality of parameters of the mechanical tool, The at least one unknown coefficient of the constrained first mathematical model of the machine tool, thereby obtaining the second mathematical model of the machine tool; and the first parameter based on the plurality of parameters of each machine tool Data and the second mathematical model of each machine tool to determine the second data.
根据该实施例,首先将当前的第一数学模型拟合到每个机械工具的第一数据,由此确定了分别针对每个机械工具的第二数学模型,然后根据该第二数学模型以及每个机械工具的第一数据来确定第二数据,这考虑了每个机械工具的数据来确定表示当前的第一数学模型对于当前类型的机械工具的适合程度的第二数据。According to this embodiment, the current first mathematical model is first fitted to the first data of each mechanical tool, thereby determining the second mathematical model for each mechanical tool, and then according to the second mathematical model and each mechanical tool. The first data of each machine tool is used to determine the second data, which considers the data of each machine tool to determine the second data indicating the suitability of the current first mathematical model to the current type of machine tool.
根据本发明的任意方面的进一步的实施例,所述确定所述第二数据包括对于所述每个机械工具,基于所述机械工具的所述复数个参数的所述第一数据和所述机械工具的第二数学模型,确定针对所述机械工具的损失数据,所述损失数据表示根据所述每个机械工具的第二数学模型确定的选定参数的输出数据和所获取的所述选定参数的第一数据之间的差;确定针对所述复数个机械工具的复数个损失数据的和;和基于所述复数个损失数据的和,确定所述第一数学模型是否适合。According to a further embodiment of any aspect of the present invention, the determining the second data includes, for each machine tool, the first data and the machine tool based on the plurality of parameters of the machine tool The second mathematical model of the tool determines the loss data for the mechanical tool, and the loss data represents the output data of the selected parameter determined according to the second mathematical model of each mechanical tool and the acquired selected The difference between the first data of the parameters; determining the sum of a plurality of loss data for the plurality of machine tools; and determining whether the first mathematical model is suitable based on the sum of the plurality of loss data.
根据该实施例,基于使用当前第一数学模型对每个机械工具的第一数据进行建模而获得的损失数据来判断当前的第一数学模型是否适合,这为确定当前第一数学模型是否适合用于对当前类型的机械工具进行建模提供了判断基础。According to this embodiment, it is determined whether the current first mathematical model is suitable based on the loss data obtained by modeling the first data of each mechanical tool using the current first mathematical model, which is to determine whether the current first mathematical model is suitable It is used to model the current type of mechanical tools to provide a basis for judgment.
根据本发明的任意方面的再一个实施例,所述第一数学模型是通过使用 基于遗传算法的符号回归确定的;所述方法还包括当确定所述第一数学模型不适合时,基于所述复数个损失数据的和,通过基于遗传算法的符号回归确定所述新的第一数学模型。According to another embodiment of any aspect of the present invention, the first mathematical model is determined by using symbolic regression based on genetic algorithms; the method further includes when it is determined that the first mathematical model is not suitable, based on the The sum of a plurality of loss data determines the new first mathematical model through symbolic regression based on genetic algorithm.
根据该实施例,能够在确定当前的第一数学模型不适合之后,将表示当前的第一数学模型的适合程度的损失数据的和作为反馈,返回到基于遗传算法的符号回归来进一步优化该数学模型,从而得到优化的数学模型作为新的第一数学模型,这样增加了整个算法的收敛速度,更快获得最适合数学模型。According to this embodiment, after determining that the current first mathematical model is not suitable, the sum of loss data indicating the suitability of the current first mathematical model can be used as feedback and returned to the symbolic regression based on genetic algorithm to further optimize the mathematical model. Model, and thereby obtain the optimized mathematical model as the new first mathematical model, which increases the convergence speed of the entire algorithm and obtains the most suitable mathematical model faster.
根据本发明的任意方面的另一个实施例,该方法还包括当确定所述第一数学模型适合时,输出针对所述类型的机械工具的所述第一数学模型、经约束的第一数学模型和/或针对复数个机械工具所包括的至少一个目标机械工具中的每个机械工具的第二数学模型。According to another embodiment of any aspect of the present invention, the method further includes outputting the first mathematical model and the constrained first mathematical model for the type of machine tool when it is determined that the first mathematical model is suitable And/or a second mathematical model for each of the at least one target machine tool included in the plurality of machine tools.
根据该实施例,不仅能够获得更适合对该类型机械工具的某些参数数据进行建模的数学模型;当复数个机械工具包括至少一个目标机械工具时,也能够一次性地输出针对至少一个目标机械工具的至少一个经拟合的数学模型,以提供对至少一个目标机械工具的准确监测/分析。According to this embodiment, not only can a mathematical model that is more suitable for modeling certain parameter data of this type of machine tool be obtained; when a plurality of machine tools include at least one target machine tool, it can also be output for at least one target at one time. At least one fitted mathematical model of the machine tool to provide accurate monitoring/analysis of the at least one target machine tool.
附图说明Description of the drawings
下文将以明确易懂的方式通过对优选实施例的说明并结合如下附图来对本发明上述特性、技术特征、优点及其实现方式予以进一步说明,其中Hereinafter, the above-mentioned characteristics, technical characteristics, advantages and implementation methods of the present invention will be further described through the description of the preferred embodiments in a clear and easy-to-understand manner in conjunction with the following drawings.
图1示出了根据本发明的一个实施例用于对一种类型的机械工具的数据进行建模分析的方法的流程图;Figure 1 shows a flow chart of a method for modeling and analyzing data of a type of mechanical tool according to an embodiment of the present invention;
图2示出了根据本发明的一个实施例从七个数控机床获取的复数个参数的第一数据;Figure 2 shows the first data of a plurality of parameters obtained from seven numerically controlled machine tools according to an embodiment of the present invention;
图3A-3D示出了根据本发明的一个实施例的获取的目标机械工具的第二数学模型的曲线;3A-3D show curves of a second mathematical model of a target mechanical tool acquired according to an embodiment of the present invention;
图4示出了根据本发明的另一个实施例用于对一种类型的机械工具的数据进行建模分析的方法的流程图;Figure 4 shows a flowchart of a method for modeling and analyzing data of a type of mechanical tool according to another embodiment of the present invention;
图5示出了根据本发明的另一个实施例用于对一种类型的机械工具的数据进行建模分析的方法的流程图;FIG. 5 shows a flowchart of a method for modeling and analyzing data of a type of mechanical tool according to another embodiment of the present invention;
图6示出了根据本发明的一个实施例用于对一种类型的机械工具的数据 进行建模分析的设备的方块图;Figure 6 shows a block diagram of a device for modeling and analyzing data of a type of machine tool according to an embodiment of the present invention;
图7示出了根据本发明的一个实施例的建模分析系统。Fig. 7 shows a modeling analysis system according to an embodiment of the present invention.
参照上述附图来描述本发明各个实施例的各个方面和特征。上述附图仅仅是示意性的,而非限制性的。在不脱离本实用新型的主旨的情况下,在上述附图中各个元件的尺寸、形状、标号、或者外观可以发生变化,而不被限制到仅仅说明书附图所示出的那样。The various aspects and features of various embodiments of the present invention are described with reference to the above-mentioned drawings. The above drawings are only schematic and not restrictive. Without departing from the gist of the present invention, the size, shape, label, or appearance of the various elements in the above drawings may be changed, and they are not limited to only those shown in the drawings in the specification.
参考标记列表Reference mark list
100,200,300 用于建模分析的方法100, 200, 300 Methods for modeling analysis
110,210,310 获取复数个参数的第一数据110, 210, 310 Get the first data of multiple parameters
120,220,320 获取第一数学模型120, 220, 320 Obtain the first mathematical model
130,230,330 约束130, 230, 330 Constraint
140,240,340 确定第二数据140, 240, 340 Determine the second data
150,250,350 确定是否合适150, 250, 350 Determine whether it is appropriate
160,260,360 输出160, 260, 360 output
341 确定第二数学模型341 Determine the second mathematical model
342 确定是否获取了预定数量第一数学模型342 Determine whether a predetermined number of first mathematical models have been obtained
10 用于建模分析的设备10 Equipment used for modeling analysis
11 获取单元11 Acquisition unit
12 约束单元12 Constraint unit
13 确定单元13 Determine the unit
14 输出单元14 Output unit
15 评估单元15 Evaluation unit
20 建模分析系统20 Modeling analysis system
21 存储器21 Memory
22 处理器22 processor
具体实施方式Detailed ways
通常对来自特定机械工具的已知参数数据执行回归分析,建立特定的曲 线模型,根据该模型能够预测该特定机械工具的使用寿命或者对其故障进行预警。在这样的回归分析中使用什么形式的模型能够获得更准确的预测结果是未知的;并且因为仅仅基于某一个具体的机械工具的已知参数数据来建立模型,难以保证该模型的准确性。Usually, regression analysis is performed on the known parameter data from a specific mechanical tool, and a specific curve model is established. According to the model, the service life of the specific mechanical tool or the early warning of its failure can be predicted. It is unknown what form of model can be used in such regression analysis to obtain more accurate prediction results; and because the model is built only based on the known parameter data of a specific mechanical tool, it is difficult to ensure the accuracy of the model.
根据本发明的各个实施例,一方面,对不同形式的模型进行验证,以找到最准确地对当前类型的机械工具进行建模的模型;另一方面,采用了多个同类型的机械工具的已知参数数据,来验证该模型这一类型的机械工具进行建模的适合程度/准确性,由此,能够实现对这一类型机械工具的数据更准确的建模分析,提供更准确的故障预警和/或寿命预测。According to various embodiments of the present invention, on the one hand, different forms of models are verified to find the model that most accurately models the current type of machine tool; on the other hand, multiple models of the same type of machine tool are used. Known parameter data is used to verify the suitability/accuracy of modeling of this type of machine tool, thereby enabling more accurate modeling and analysis of this type of machine tool data and providing more accurate faults Early warning and/or life prediction.
图1示出了根据本发明的一个实施例用于对一种类型的机械工具的数据进行建模分析的方法100的流程图。根据本发明的实施例,能够同时对同一类型的复数个机械工具的数据进行建模分析。可以预期,该复数个机械工具中仅仅有一部分或者一个机械工具是感兴趣的目标机械工具,引入其他同类型的机械工具的数据仅仅是为了更准确地找到针对该目标机械工具的数学模型形式。也可以预期,该复数个机械工具中不包含目标机械工具,而仅仅是为了找到针对该类型机械工具的最适合的数学模型,找到该数学模型之后,能够将该数学模型拟合到该类型目标机械工具的数据。还可以预期,该复数个机械工具全部为目标机械工具,由此,能够一次性找到针对复数个同类型机械工具的分别的拟合数学模型。Fig. 1 shows a flowchart of a method 100 for modeling and analyzing data of a type of mechanical tool according to an embodiment of the present invention. According to the embodiment of the present invention, it is possible to simultaneously perform modeling analysis on data of a plurality of mechanical tools of the same type. It can be expected that only a part of the plurality of mechanical tools or one mechanical tool is the target mechanical tool of interest, and the data of other mechanical tools of the same type is introduced only to find the mathematical model form for the target mechanical tool more accurately. It can also be expected that the plurality of mechanical tools does not contain the target mechanical tool, but only to find the most suitable mathematical model for the type of mechanical tool. After the mathematical model is found, the mathematical model can be fitted to the target of the type. Machine tool data. It can also be expected that the plurality of machine tools are all target machine tools, and thus, the respective fitting mathematical models for the plurality of machine tools of the same type can be found at one time.
根据该方法100,在110,获取复数个机械工具中的每个机械工具的复数个参数的第一数据,其中,该复数个机械工具是同一类型的机械工具,优选地,所谓同一类型不仅指这些机械工具从其功能/作用的角度来看属于同一类型,还指这些机械工具均在相同或相似的操作环境中操作。例如,它们是在相同环境中工作的相同类型的电机。这些机械工具的复数个参数是与其性能相关的参数,比如,针对电机而言,其工作温度可能表示其性能和老化趋势,因此,可以获得电机随着时间变化的工作温度数据。在这种情况下,复数个参数可以指电机的工作温度和对应的时间。相似地,在使用数控机床处理工件的制造工厂中,考虑到数控机床的性能会随着时间恶化,而数控机床的诸如温度的参数会随着其性能恶化而升高到一定阈值,这可能指示需要更换某些部件。因此,复数个参数是数控机床的温度和对应的时间。According to the method 100, at 110, first data of a plurality of parameters of each of the plurality of machine tools is acquired, where the plurality of machine tools are the same type of machine tool, preferably, the so-called same type does not only refer to These mechanical tools belong to the same type from the point of view of their functions/functions, which also means that these mechanical tools are all operated in the same or similar operating environment. For example, they are the same type of motors working in the same environment. The multiple parameters of these mechanical tools are related to their performance. For example, for a motor, its operating temperature may indicate its performance and aging trend. Therefore, the operating temperature data of the motor can be obtained over time. In this case, multiple parameters can refer to the working temperature of the motor and the corresponding time. Similarly, in a manufacturing plant that uses CNC machine tools to process workpieces, considering that the performance of CNC machine tools will deteriorate over time, and the parameters of CNC machine tools such as temperature will rise to a certain threshold as their performance deteriorates, this may indicate Some parts need to be replaced. Therefore, the plural parameters are the temperature of the CNC machine tool and the corresponding time.
或者,在使用冷水机将生产温度维持在预定水平的制造工厂中,考虑到环境和工厂的基础设备等方面,为了维持预定温度需要冷水机达到某个冷却负载,这意味着每个冷水机需要消耗一定数量的能量,期望对冷水机消耗的能量和对应的冷却负载建模,以预测为了达到预定冷却负载所需要的能量或者预定的能量情况下所能达到的冷却负载。在这种情况下,复数个参数可以是冷水机消耗的能量和对应的冷却负载。Or, in a manufacturing plant that uses chillers to maintain the production temperature at a predetermined level, considering the environment and plant infrastructure, in order to maintain the predetermined temperature, the chiller needs to reach a certain cooling load, which means that each chiller needs Consuming a certain amount of energy, it is desirable to model the energy consumed by the chiller and the corresponding cooling load to predict the energy required to reach the predetermined cooling load or the cooling load that can be achieved under the predetermined energy. In this case, multiple parameters can be the energy consumed by the chiller and the corresponding cooling load.
能够分别获得针对每个机械工具的复数个参数的第一数据,并将它们存储起来,用于处理。预期能够通过安装到机械工具的各种类型传感器来获得每个机械工具的复数个参数的第一数据。The first data of a plurality of parameters for each machine tool can be obtained separately, and they can be stored for processing. It is expected that the first data of a plurality of parameters of each machine tool can be obtained through various types of sensors installed to the machine tool.
图2示出了从七个数控机床获取的第一数据,其中,x轴表示时间,y轴表示所使用的能量的倒数。根据该实施例,对该类型机械工具所使用的能量随着时间的变化进行建模。Figure 2 shows the first data obtained from seven CNC machine tools, where the x-axis represents time and the y-axis represents the reciprocal of the energy used. According to this embodiment, the energy used by this type of machine tool is modeled over time.
在120,获取第一数学模型,该数学模型能够表示与每个机械工具的性能相关的复数个参数之间的关系。例如针对电机或数控机床而言,其能够表示温度和时间之间的关系,或所使用的能量和时间之间的关系。在此虽然使用第一数学模型,但这不意味着任何限制,仅仅是为了与之后的第二数学模型进行区分。At 120, a first mathematical model is obtained, which can represent the relationship between a plurality of parameters related to the performance of each mechanical tool. For example, for motors or CNC machine tools, it can represent the relationship between temperature and time, or the relationship between used energy and time. Although the first mathematical model is used here, this does not mean any limitation, and is only for distinguishing from the second mathematical model later.
例如,获取的第一数学模型可以为For example, the first mathematical model obtained can be
y=exp(tanh(-t))+t 2   (1) y=exp(tanh(-t))+t 2 (1)
其中,t表示时间,y表示所使用的能量。能够采用多种方式获取第一数学模型。在一个实施例中,能够将复数个预期的数学模型的形式存储在存储器中,从该存储器中获取其中一个数学模型作为第一数学模型。在一个优选实施例中,该第一数学模型能够是通过使用基于遗传算法的符号回归方法确定的数学模型。这将会在之后的实施例中更详细地描述。Among them, t represents time and y represents energy used. The first mathematical model can be obtained in a variety of ways. In one embodiment, a plurality of expected mathematical models can be stored in a memory, and one of the mathematical models can be obtained from the memory as the first mathematical model. In a preferred embodiment, the first mathematical model can be a mathematical model determined by using a symbolic regression method based on genetic algorithms. This will be described in more detail in the following embodiments.
能够根据要监测/分析的对象来选择数学模型,例如,当要监测/分析的对象不涉及周期运动时,例如在不监测机械工具的振动参数的情况下,可以不选择涉及如正弦和余弦运算的那些周期性数学模型,这样能够加快整个分析的收敛速度。The mathematical model can be selected according to the object to be monitored/analyzed. For example, when the object to be monitored/analyzed does not involve periodic motion, for example, when the vibration parameters of the machine tool are not monitored, it is not necessary to select operations such as sine and cosine These periodic mathematical models can speed up the convergence rate of the entire analysis.
在130,对获取的第一数学模型中的至少一个组成元素进行约束。在一个实施例,可以仅仅保留获取的第一数学模型的结构形式,而对其中的包括 自变量、运算函数和/或常量的组成元素中的一项或多项分别进行约束,优选地,还可以为该第一数学模型添加偏移量。可以根据预定义的规则使用至少一个未知系数对第一数学模型执行上述一项或多项约束。在优选实施例中,至少针对所述第一数学模型中的每个自变量,使用至少一个未知系数中的第一未知系数进行加权约束和/或使用至少一个未知系数中的第二未知系数进行刻度化。能够通过对第一数学模型中的自变量进行加权约束确保该数学模型中等式两边的量纲一致,而通过对自变量进行刻度化,能够考虑每个机械工具在厂商出厂设置时的差异。进一步优选的,能够对第一数学模型中的运算函数进行加权约束,以进一步确保该数学模型中等式两边的量纲一致。At 130, at least one component element in the acquired first mathematical model is restricted. In one embodiment, only the structure of the acquired first mathematical model may be retained, and one or more of the constituent elements including independent variables, arithmetic functions, and/or constants may be respectively restricted. Preferably, also An offset can be added to the first mathematical model. At least one unknown coefficient may be used to perform one or more constraints on the first mathematical model according to a predefined rule. In a preferred embodiment, at least for each independent variable in the first mathematical model, a first unknown coefficient in at least one unknown coefficient is used for weighted constraint and/or a second unknown coefficient in at least one unknown coefficient is used for Scaled. The independent variables in the first mathematical model can be weighted and constrained to ensure that the dimensions of both sides of the equation of the mathematical model are consistent, and the independent variables can be scaled to consider the difference of each machine tool at the factory setting. Further preferably, the calculation function in the first mathematical model can be weighted and restricted to further ensure that the dimensions of both sides of the equation of the mathematical model are consistent.
例如,针对表示随时间t变化的传感器数据y的数学模型,能够预定义如下约束规则:For example, for a mathematical model representing sensor data y that changes with time t, the following constraint rules can be predefined:
自变量t→(m*t+c);Independent variable t→(m*t+c);
运算函数(如指数函数exp,对数函数log等)e→n*eOperation function (such as exponential function exp, logarithmic function log, etc.) e→n*e
常数→KConstant → K
数学模型→数学模型+偏移量OMathematical model → Mathematical model + offset O
其中的m,c,n,K,O是未知系数。在上述预定义的约束规则中,m是对自变量t的加权约束,c是对自变量t的刻度化。根据该预定义的规则,如果所获取的第一数学模型如上述公式(1)所示,则可以对该第一数学模型中的各个组成元素进行约束,得到如下的经约束的第一数学模型。Among them, m, c, n, K, O are unknown coefficients. In the above-mentioned predefined constraint rules, m is a weighted constraint on the independent variable t, and c is a scaled on the independent variable t. According to the predefined rule, if the obtained first mathematical model is as shown in the above formula (1), each component element in the first mathematical model can be restricted to obtain the following constrained first mathematical model .
y=n 1*exp(n 2*tanh(-(m 1*t+c 1)))+(m 2*t+c 2) K1+O  (2) y=n 1 *exp(n 2 *tanh(-(m 1 *t+c 1 )))+(m 2 *t+c 2 ) K1 +O (2)
其中,m 1,m 2,c 1,c 2,n 1,n 2,K 1,O均是未知系数。 Among them, m 1 , m 2 , c 1 , c 2 , n 1 , n 2 , K 1 , and O are all unknown coefficients.
如上述公式(2)所示的,优选的对第一数学模型中的每次出现的自变量分别使用不同的未知系数m 1,m 2和c 1,c 2进行加权约束和刻度化。虽然在公式(1)和(2)所示的第一数学模型中仅仅涉及同一个自变量t,其出现两次,但是也可以预期在某些数学模型中会涉及多个自变量。在这种情况下,对每个自变量预期进行分别的加权约束和刻度化。 As shown in the above formula (2), it is preferable to use different unknown coefficients m 1 , m 2 and c 1 , c 2 for each independent variable in the first mathematical model to perform weighting constraints and scaling. Although the first mathematical model shown in formulas (1) and (2) only involves the same independent variable t, which appears twice, it can also be expected that multiple independent variables will be involved in some mathematical models. In this case, each independent variable is expected to be weighted and constrained and scaled separately.
在140,基于上述经约束的第一数学模型以及在110获取的来自相同类型的复数个机械工具中的每个机械工具的复数个参数的第一数据,来确定表示当前的第一数学模型对该类型的机械工具的适合程度的第二数据,换句话 说,确定表示使用当前的第一数学模型对该类型的机械工具的复数个参数的第一数据进行建模的准确性的第二数据。At 140, based on the above-mentioned constrained first mathematical model and the first data obtained at 110 from the plural parameters of each of the plural mechanical tools of the same type, it is determined to represent the current first mathematical model pair The second data of the suitability of this type of machine tool, in other words, the second data indicating the accuracy of modeling the first data of the plurality of parameters of this type of machine tool using the current first mathematical model .
具体地,基于每个机械工具的复数个参数的数据,能够针对每个机械工具确定用于约束第一数学模型的至少一个未知系数。这能够通过基于上述经约束的第一数学模型,例如上面的公式(2),对来自每个机械工具的复数个参数的第一数据进行拟合,求解上述经约束的第一数学模型中的未知系数来实现。由此获得了分别针对每个机械工具的第二数学模型。换句话说,该第二数学模型是通过将经约束的第一数学模型分别拟合到每个机械工具的第一数据而获取的针对每个机械工具的拟合数学模型。Specifically, based on data of a plurality of parameters of each machine tool, at least one unknown coefficient for constraining the first mathematical model can be determined for each machine tool. This can be achieved by fitting the first data of a plurality of parameters from each machine tool based on the above-mentioned constrained first mathematical model, such as the above formula (2), to solve the above-mentioned constrained first mathematical model Unknown coefficient to achieve. As a result, a second mathematical model for each machine tool is obtained. In other words, the second mathematical model is a fitting mathematical model for each mechanical tool obtained by respectively fitting the constrained first mathematical model to the first data of each mechanical tool.
如果在110获取了来自7个相同类型的机械工具的复数个参数的数据,则能够使用上述经约束的第一数学模型对这7个不同机械工具中的每个机械工具的参数数据进行拟合,从而得到分别针对这7个不同机械工具的7条曲线,进而得到7个第二数学模型,每个第二数学模型分别针对这7个不同机械工具中的每个机械工具。If data of multiple parameters from 7 mechanical tools of the same type are acquired at 110, the above constrained first mathematical model can be used to fit the parameter data of each of these 7 different mechanical tools , Thereby obtaining 7 curves for the 7 different mechanical tools, and then obtaining 7 second mathematical models, and each second mathematical model is for each of the 7 different mechanical tools.
例如,针对第1个机械工具能够得到如下的第二数学模型:For example, for the first mechanical tool, the following second mathematical model can be obtained:
y 1=n 11*exp(n 21*tanh(-(m 11*t+c 11)))+(m 21*t+c 21) K11+O 1  (3)。 y 1 =n 11 *exp(n 21 *tanh(-(m 11 *t+c 11 )))+(m 21 *t+c 21 ) K11 +O 1 (3).
针对第2个机械工具能够得到如下的第二数学模型:For the second mechanical tool, the following second mathematical model can be obtained:
y 2=n 12*exp(n 22*tanh(-(m 12*t+c 12)))+(m 22*t+c 22) K12+O 2  (4)。 y 2 =n 12 *exp(n 22 *tanh(-(m 12 *t+c 12 )))+(m 22 *t+c 22 ) K12 +O 2 (4).
以此类推,针对第i个机械工具能够得到如下的第二数学模型:By analogy, for the i-th machine tool, the following second mathematical model can be obtained:
y i=n 1i*exp(n 2i*tanh(-(m 1i*t+c 1i)))+(m 2i*t+c 2i) K1i+O i  (i=1,2……)(5)。 y i =n 1i *exp(n 2i *tanh(-(m 1i *t+c 1i )))+(m 2i *t+c 2i ) K1i +O i (i=1,2……)(5 ).
上述m 1i,m 2i,c 1i,c 2i,n 1i,n 2i,K 1i,O i均是通过针对不同机械工具的参数数据进行曲线拟合推导出的已知系数。 The above m 1i , m 2i , c 1i , c 2i , n 1i , n 2i , K 1i , O i are all known coefficients derived by curve fitting for parameter data of different mechanical tools.
在已经确定了针对复数个同类型的机械工具中的每个机械工具的第二数学模型之后,能够基于每个机械工具的复数个参数的数据以及其对应的第二数学模型,确定表示使用在120获取的第一数学模型对该类型机械工具进行建模的适合程度的第二数据。After the second mathematical model for each of the multiple mechanical tools of the same type has been determined, it can be determined based on the data of the multiple parameters of each mechanical tool and its corresponding second mathematical model to indicate the use of The first mathematical model obtained by 120 is the second data of suitability for modeling the type of mechanical tool.
在一个具体的实施例中,能够确定针对每个机械工具的损失,例如通过将每个机械工具的复数个参数的数据代入相应的第二数学模型求取根据该第二数学模型导出的参数值与机械工具的实际参数值之间的差值,从而确定针对每个机械工具的损失数据。In a specific embodiment, the loss for each mechanical tool can be determined, for example, by substituting the data of multiple parameters of each mechanical tool into the corresponding second mathematical model to obtain the parameter value derived from the second mathematical model The difference between the actual parameter value of the machine tool and the actual parameter value to determine the loss data for each machine tool.
例如,针对某个机械工具获得了其随时间的变化的表示温度的传感器数据,在确定了针对该机械工具的第二数学模型(例如上述公式(5))之后,能够将获得的时间点带入第二数学模型,导出对应的y值,然后将该导出的y值与在该时间点实际测量的传感器数据进行比较,获得针对该时间点的损失数据,最终能够确定针对该机械工具的损失数据。For example, for a certain machine tool, the sensor data representing the temperature change over time is obtained, and after the second mathematical model (for example, the above formula (5)) for the machine tool is determined, the obtained time point can be taken with Enter the second mathematical model, derive the corresponding y value, and then compare the derived y value with the sensor data actually measured at the time point to obtain the loss data for the time point, and finally determine the loss for the mechanical tool data.
在确定了针对每个机械工具的损失之后,能够确定针对所有同类型机械工具的总损失数据,例如能够通过使用如下公式求针对每个机械工具的损失数据的和来计算该总损失数据。After the loss for each machine tool is determined, the total loss data for all machine tools of the same type can be determined. For example, the total loss data can be calculated by using the following formula to sum the loss data for each machine tool.
Figure PCTCN2019087284-appb-000001
Figure PCTCN2019087284-appb-000001
其中,y i,数据是在110获取的机械工具的参数的传感器测量数据。 Among them, y i, data is the sensor measurement data of the parameters of the machine tool acquired at 110.
虽然参照总损失数据描述了第二数据,还可以预期以其他形式表示第一数学模型的适合与否。Although the second data is described with reference to the total loss data, it can be expected to express the suitability of the first mathematical model in other forms.
在140确定了第二数据之后,在150能够基于该第二数据确定当前第一数学模型是否适合,即确定当前的第一数学模型是否适合于对当前类型的机械工具建模。After the second data is determined at 140, it can be determined at 150 whether the current first mathematical model is suitable based on the second data, that is, whether the current first mathematical model is suitable for modeling the current type of machine tool.
在具体的实施例中,能够基于上述总损失数据来确定第一数学模型是否适合。例如能够将该总损失数据与预定的阈值范围相比较,如果该总损失数据在预定的阈值范围内,则表明该第一数学模型可以接受,即当前使用的第一数学模型的形式是合适的,不需要重新获取。否则,则表明需要重新获取第一数学模型。In a specific embodiment, whether the first mathematical model is suitable can be determined based on the above-mentioned total loss data. For example, the total loss data can be compared with a predetermined threshold range. If the total loss data is within the predetermined threshold range, it indicates that the first mathematical model is acceptable, that is, the form of the currently used first mathematical model is appropriate , No need to reacquire. Otherwise, it indicates that the first mathematical model needs to be reacquired.
在另一个实施例中,能够将针对前一个第一数学模型确定的总损失数据和根据当前第一数学模型确定的总损失数据相比较,根据比较的结果来判断当前第一数学模型是否适合。In another embodiment, the total loss data determined for the previous first mathematical model can be compared with the total loss data determined according to the current first mathematical model, and whether the current first mathematical model is suitable can be determined according to the comparison result.
如果在150确定当前的第一数学模型不适合对当前类型的机械工具建模,或者说使用当前的第一数学模型对当前类型的机械工具进行建模的准确度不符合预定标准,则需要返回120获取新的第一数学模型来表示与复数个机械工具的性能相关的复数个参数之间的关系。例如能够从存储器中获取新的第一数学模型。之后,对于新的第一数学模型重复从130到150的处理。If it is determined at 150 that the current first mathematical model is not suitable for modeling the current type of mechanical tool, or the accuracy of modeling the current type of mechanical tool using the current first mathematical model does not meet the predetermined standard, you need to return 120 obtain a new first mathematical model to represent the relationship between a plurality of parameters related to the performance of a plurality of machine tools. For example, a new first mathematical model can be obtained from the memory. After that, the process from 130 to 150 is repeated for the new first mathematical model.
如果在150确定当前的第一数学模型适合,则表明使用当前的第一数学 模型对当前类型的机械工具进行建模的准确度符合预定标准,此时,能够在160输出该第一数学模型或/经约束的第一数学模型,以便在之后对同一类型的机械工具进行建模时使用该第一数学模型的形式。在优选实施例中,当所述复数个机械工具中包含目标机械工具时,能够输出针对该复数个机械工具中的作为目标机械工具的至少一个机械工具中的每个机械工具的第二数学模型,用于进一步的处理。If it is determined at 150 that the current first mathematical model is suitable, it indicates that the accuracy of modeling the current type of mechanical tool using the current first mathematical model meets the predetermined standard. At this time, the first mathematical model or /The first mathematical model constrained so that the form of the first mathematical model is used when modeling the same type of machine tool later. In a preferred embodiment, when the plurality of machine tools includes the target machine tool, the second mathematical model for each machine tool in at least one machine tool as the target machine tool among the plurality of machine tools can be output , For further processing.
例如,能够将该每个目标机械工具的第二数学模型用于对该机械工具的剩余使用寿命进行预测。在该实施例中,能够获得针对传感器数据,例如温度数据,的预定阈值,该预定阈值表示该机械工具寿命终止时所对应的参数数据,例如其寿命终止时的温度。根据该预定阈值和例如公式(5)所示的已经确定的第二数学模型,能够确定传感器数据y i到达该预定阈值时所对应的时间,根据所确定的时间和当前时间能够容易地确定当前机械工具的剩余使用寿命。在另一个具体应用中,能够将第二数学模型用于预测如上所述的冷水机在达到预定冷却负载所需要消耗的能量,反之亦然。 For example, the second mathematical model of each target machine tool can be used to predict the remaining service life of the machine tool. In this embodiment, a predetermined threshold for sensor data, such as temperature data, can be obtained, and the predetermined threshold represents parameter data corresponding to the end of the life of the machine tool, such as the temperature at the end of its life. According to the predetermined threshold and the determined second mathematical model as shown in formula (5), the time corresponding to when the sensor data yi reaches the predetermined threshold can be determined, and the current time can be easily determined according to the determined time and the current time. The remaining service life of the machine tool. In another specific application, the second mathematical model can be used to predict the energy consumed by the chiller as described above to reach the predetermined cooling load, and vice versa.
在一个实施例中,在对多个第一数学模型经过上述循环处理之后,在150确定如下的经约束的第一数学模型的形式具有最低的损失数据,或者损失数据符合预定标准,In one embodiment, after the above-mentioned cyclic processing is performed on the plurality of first mathematical models, it is determined at 150 that the following constrained first mathematical model has the lowest loss data, or the loss data meets a predetermined standard,
y(t)=(a 1*t+b 1)*a 2*exp(-(a 3*t+b 2))+a 4*exp(-(a 5*t+b 3))+D  (7)则能够输出该经约束的第一数学模型。其中,a 1,a 2,a 3,a 4,a 5,b 1,b 2,b 3,D是未知系数。 y(t)=(a 1 *t+b 1 )*a 2 *exp(-(a 3 *t+b 2 ))+a 4 *exp(-(a 5 *t+b 3 ))+D (7) The constrained first mathematical model can be output. Among them, a 1 , a 2 , a 3 , a 4 , a 5 , b 1 , b 2 , b 3 and D are unknown coefficients.
在进一步的实施例中,也能够输出根据该第一数学模型获得的目标机械工具的第二数学模型。In a further embodiment, the second mathematical model of the target machine tool obtained according to the first mathematical model can also be output.
如果针对上述的七个同类型机械工具,其中有4个是目标机械工具,根据如公式(7)确定的第一数学模型的形式,这4个机械工具的经拟合的第二数学模型分别为If for the above-mentioned seven mechanical tools of the same type, four of them are target mechanical tools, according to the form of the first mathematical model as determined by formula (7), the fitted second mathematical models of these four mechanical tools are respectively for
y 1=-1.5*(2.3*t-2.4)*exp(-0.07*t+1)-0.1*exp(0.2*t-0.2)+53.8  (8) y 1 = -1.5*(2.3*t-2.4)*exp(-0.07*t+1)-0.1*exp(0.2*t-0.2)+53.8 (8)
y 2=1*10 -5*(-0.2*t+0.3)*exp(0.5*t+0.3)-6*10 -4*exp(0.5*t-1.3)+10.0 y 2 =1*10 -5 *(-0.2*t+0.3)*exp(0.5*t+0.3)-6*10 -4 *exp(0.5*t-1.3)+10.0
                                                             (9) (9)
y 3=15.5*(-13.1*t+367.4) y 3 =15.5*(-13.1*t+367.4)
*exp(0.9*t+27.2)-4.2*10 -9*exp(0.9*t+0.3)+9.99  (10) *exp(0.9*t+27.2)-4.2*10 -9 *exp(0.9*t+0.3)+9.99 (10)
y 4=7.8*(-7.6*t+121.0) y 4 =7.8*(-7.6*t+121.0)
*exp(-0.9*t+37.8)-5.4*10 -13*exp(1.2*t-0.3)+9.99  (11) *exp(-0.9*t+37.8)-5.4*10 -13 *exp(1.2*t-0.3)+9.99 (11)
在160能输出上述第二数学模型(8)-(11),用于对这些目标机械工具的进一步分析。由以上第二数学模型(8)-(11)可见,其中存在一些系数非常小的项,比如10 -13,在根据现有技术进行回归分析时,这些系数非常小的项经常被忽略,而显然使用上述根据本发明的实施例的方法,能够获得更准确的模型。图3A-3D示出了上述第二数学模型的曲线。其中x轴表示时间,y轴表示与传感器数据相关的值,具体是所使用的能量的倒数。 At 160, the above-mentioned second mathematical models (8)-(11) can be output for further analysis of these target machine tools. It can be seen from the above second mathematical model (8)-(11) that there are some items with very small coefficients, such as 10-13 . In regression analysis according to the prior art, these items with very small coefficients are often ignored. Obviously, using the above-mentioned method according to the embodiment of the present invention, a more accurate model can be obtained. 3A-3D show the curves of the above-mentioned second mathematical model. The x-axis represents time, and the y-axis represents the value related to sensor data, specifically the reciprocal of the energy used.
图4示出了根据本发明的另一个实施例用于对一种类型的机械工具的数据进行建模分析的方法200的流程图。在该实施例中,使用基于遗传算法的符号回归方法获取第一数学模型,并基于如上所确定的第二数据逐渐优化该第一数学模型。具体地,在210获取了复数个机械工具的复数个参数的第一数据之后,在220,例如基于所获取的数据通过使用基于遗传算法的符号回归方法确定第一数学模型。在230执行与130相同的处理。在240确定了表示当前的第一数学模型对该类型的机械工具建模的适合程度的第二数据之后,在250,将针对当前的第一数学模型的第二数据与针对之前的第一数学模型的第二数据相比较,例如计算针对当前第一数学模型的第二数据与针对前一个数学模型的第二数据之间的差,也可以预期计算针对当前第一数学模型的第二数据与针对之前的所有第一数学模型的第二数据的平均值之间的差;基于该比较结果,确定当前的第一数学模型是否适合,例如,可以将该比较结果与预定阈值相比较,具体来说能够将上述确定的差值与预定阈值相比较,当该差值小于预定阈值时,表明随着使用基于遗传算法的符号回归方法对第一数学模型的优化,使用当前的第一数学模型对当前类型的机械工具的参数数据建模的损失降低符合预期,这时,能够前进到260,输出当前第一数学模型、经约束的当前第一数学模型或者对应目标机械工具的第二数学模型;而如果差值仍然大于预定阈值,则表示仍然需要继续对当前的第一数学模型进行优化,则将当前获得的第二数据返回到220,用在基于遗传算法的符号回归方法中继续优化第一数学模型。FIG. 4 shows a flowchart of a method 200 for modeling and analyzing data of a type of machine tool according to another embodiment of the present invention. In this embodiment, a symbolic regression method based on genetic algorithm is used to obtain the first mathematical model, and the first mathematical model is gradually optimized based on the second data determined above. Specifically, after acquiring the first data of the plural parameters of the plural mechanical tools at 210, at 220, for example, the first mathematical model is determined by using a symbolic regression method based on genetic algorithm based on the acquired data. At 230, the same processing as 130 is performed. After the second data representing the suitability of the current first mathematical model for modeling the type of machine tool is determined at 240, at 250, the second data for the current first mathematical model is compared with the previous first mathematical model. Compare the second data of the model, for example, calculate the difference between the second data for the current first mathematical model and the second data for the previous mathematical model, and it can also be expected to calculate the second data for the current first mathematical model and For the difference between the average values of the second data of all previous first mathematical models; based on the comparison result, it is determined whether the current first mathematical model is suitable. For example, the comparison result can be compared with a predetermined threshold. It is said that the above determined difference can be compared with a predetermined threshold. When the difference is less than the predetermined threshold, it indicates that as the first mathematical model is optimized using the symbolic regression method based on genetic algorithms, the current first mathematical model is used to The loss of parameter data modeling of the current type of mechanical tool is reduced in line with expectations. At this time, it can proceed to 260 to output the current first mathematical model, the constrained current first mathematical model, or the second mathematical model corresponding to the target mechanical tool; If the difference is still greater than the predetermined threshold, it means that the current first mathematical model still needs to be optimized, and the currently obtained second data is returned to 220, which is used in the symbolic regression method based on genetic algorithm to continue to optimize the first mathematical model.
图3示出了根据本发明的另一个实施例用于对一种类型的机械工具的数据进行建模分析的方法300的流程图。在该方法300中,处理310-340与上 述根据图1所示的方法100的处理110-140相同。不同之处在于,在340确定了第二数据之后,在341通过将当前的第二数据与针对之前的第一数学模型确定的第二数据相比较确定最小的第二数据所对应的第二数学模型,并存储该最小的第二数据所对应的第二数学模型,并且在342确定是否已经重复获取了预定数量的第一数学模型,如果确定已经获取了预定数量的第一数学模型,则在360直接输出当前最小的第二数据所对应第一数学模型或者复数个第二数学模型中针对目标机械工具的第二数学模型。而如果在342确定还没有重复获取预定数量的第一数学模型,则在350进一步判断针对当前的第一数学模型确定的第二数据是否满足预定标准,例如与针对之前的第一数学模型确定的第二数据的差是否小于预定阈值,如果满足则在360输出当前的第一数学模型或者根据当前的第一数学模型确定的复数个第二数学模型中针对目标机械工具的第二数学模型,如果不满足,则返回到320,获取新的第一数学模型。FIG. 3 shows a flowchart of a method 300 for modeling and analyzing data of a type of machine tool according to another embodiment of the present invention. In the method 300, the processes 310-340 are the same as the processes 110-140 according to the method 100 shown in Fig. 1 described above. The difference is that after the second data is determined at 340, the second data corresponding to the smallest second data is determined by comparing the current second data with the second data determined for the previous first mathematical model at 341 Model, and store the second mathematical model corresponding to the smallest second data, and determine at 342 whether a predetermined number of first mathematical models have been repeatedly acquired, if it is determined that a predetermined number of first mathematical models have been acquired, then 360 directly outputs the first mathematical model corresponding to the current smallest second data or the second mathematical model for the target machine tool among the plurality of second mathematical models. And if it is determined in 342 that the predetermined number of first mathematical models have not been repeatedly obtained, then in 350, it is further determined whether the second data determined for the current first mathematical model meets a predetermined standard, for example, the same as that determined for the previous first mathematical model. Whether the difference of the second data is less than the predetermined threshold, if it is satisfied, output the current first mathematical model or the second mathematical model for the target machine tool from the plurality of second mathematical models determined according to the current first mathematical model at 360, if If not satisfied, return to 320 to obtain a new first mathematical model.
虽然参照图1-3所示的各个实施例分别描述了根据本发明的方法,可以理解,上述各个实施例的方法的各项处理能够被拆分/组合/变更,以实现相应的效果,并且各个实施例的不同处理也能够被拆分/重新组合,以组成对应的方法。其最终目的在于找到最准确地对当前类型的机械工具的参数数据进行建模的数学模型的形式,并且找到针对特定的每个机械工具的数学模型。Although the method according to the present invention has been described with reference to the various embodiments shown in FIGS. 1-3, it can be understood that the various processes of the methods of the above various embodiments can be split/combined/changed to achieve corresponding effects, and The different processes of the various embodiments can also be split/recombined to form corresponding methods. The ultimate goal is to find the form of the mathematical model that most accurately models the parameter data of the current type of mechanical tool, and to find a specific mathematical model for each mechanical tool.
图4示出了根据本发明的一个实施例的对一种类型的机械工具的数据进行建模分析的设备10。该设备10包括获取单元11、约束单元12、确定单元13和输出单元14。FIG. 4 shows a device 10 for modeling and analyzing data of a type of mechanical tool according to an embodiment of the present invention. The device 10 includes an acquisition unit 11, a restriction unit 12, a determination unit 13, and an output unit 14.
获取单元11获取该类型的复数个机械工具的复数个参数的数据以及当前的第一数学模型。任选地,该设备10可以包括存储器,用于存储复数个参数的数据以及可能使用的复数个第一数学模型。第一数学模型表示与该类型的机械工具的性能相关的复数个参数之间的关系。The obtaining unit 11 obtains data of a plurality of parameters of a plurality of mechanical tools of this type and the current first mathematical model. Optionally, the device 10 may include a memory for storing data of a plurality of parameters and a plurality of first mathematical models that may be used. The first mathematical model represents the relationship between a plurality of parameters related to the performance of this type of machine tool.
在一个实施例中,该获取单元11具有处理能力,其能够通过使用基于遗传算法的符号回归确定第一数学模型,或者也可以预期在其他位置使用基于遗传算法的符号回归确定第一数学模型,而获取单元11仅仅获取该确定的第一数学模型。In one embodiment, the acquisition unit 11 has processing capability, which can determine the first mathematical model by using symbolic regression based on genetic algorithm, or it can also be expected to use symbolic regression based on genetic algorithm to determine the first mathematical model in other locations. The acquiring unit 11 only acquires the determined first mathematical model.
约束单元12接收来自获取单元11的第一数学模型,用于根据预定义的规则使用至少一个未知系数对第一数学模型的至少一个组成元素进行约束。预定义的规则能够被存储在存储器中。所述至少一个组成元素指的是该第一数学模型中的自变量、运算函数、常量和/或偏移量中的一个或复数个。The restriction unit 12 receives the first mathematical model from the acquisition unit 11, and is configured to use at least one unknown coefficient to restrict at least one component element of the first mathematical model according to a predefined rule. Pre-defined rules can be stored in memory. The at least one component element refers to one or more of the independent variables, operation functions, constants, and/or offsets in the first mathematical model.
在一个实施例中,约束单元12至少针对当前第一数学模型中的每个自变量,使用至少一个未知系数中的第一未知系数进行加权约束和/或使用至少一个未知系数中的第二未知系数进行刻度化。In one embodiment, the constraint unit 12 uses the first unknown coefficient in the at least one unknown coefficient for weighted constraint and/or uses the second unknown coefficient in the at least one unknown coefficient for each independent variable in the current first mathematical model. The coefficients are scaled.
确定单元13接收来自约束单元12的经约束的第一数学模型以及来自获取单元11的复数个机械工具的复数个参数的第一数据,基于相同类型的复数个机械工具中的每个机械工具的复数个参数的第一数据和经约束的第一数学模型,确定表示当前的第一数学模型对该类型机械工具的适合程度的第二数据,并且基于所述第二数据确定当前的第一数学模型是否适合,即是否需要获取新的第一数学模型。如果确定单元13确定需要获取新的第一数学模型,则通知获取单元11获取新的第一数学模型作为当前的第一数学模型,进一步被约束单元12和确定单元13处理。The determining unit 13 receives the constrained first mathematical model from the constraining unit 12 and the first data of the plural parameters of the plural mechanical tools from the acquiring unit 11, based on the value of each of the plural mechanical tools of the same type. The first data of a plurality of parameters and the constrained first mathematical model determine the second data indicating the suitability of the current first mathematical model to the type of machine tool, and determine the current first mathematical model based on the second data Whether the model is suitable, that is, whether it is necessary to obtain a new first mathematical model. If the determining unit 13 determines that a new first mathematical model needs to be acquired, the acquiring unit 11 is notified to acquire the new first mathematical model as the current first mathematical model, which is further processed by the constraint unit 12 and the determining unit 13.
在一个具体的实施例中,确定单元13针对复数个机械工具中的每个机械工具,基于所述机械工具的复数个参数的第一数据,确定针对该机械工具的经约束的第一数学模型的至少一个未知系数,从而获得针对该机械工具的第二数学模型;并且基于每个机械工具的复数个参数的第一数据和相应的第二数学模型,确定所述第二数据。在一个实施例中,该第二数据是损失数据,其表示根据所述每个机械工具的第二数学模型确定的选定参数的输出数据和所获取的所述选定参数的测量值之间的差。In a specific embodiment, for each of the plurality of machine tools, the determining unit 13 determines the first constrained mathematical model for the machine tool based on the first data of the plurality of parameters of the machine tool At least one unknown coefficient of, thereby obtaining a second mathematical model for the machine tool; and determining the second data based on the first data of the plurality of parameters of each machine tool and the corresponding second mathematical model. In one embodiment, the second data is loss data, which represents the difference between the output data of the selected parameter determined according to the second mathematical model of each machine tool and the acquired measurement value of the selected parameter The difference.
具体来说,确定单元13针对每个机械工具,基于该机械工具的复数个参数的第一数据和第二数学模型,确定针对该机械工具的损失数据;确定针对复数个机械工具的复数个损失数据的和,得到总损失数据;并且基于该总损失数据,确定当前第一数学模型是否适合。Specifically, for each machine tool, the determining unit 13 determines the loss data for the machine tool based on the first data and the second mathematical model of the plurality of parameters of the machine tool; determines the loss data for the plurality of machine tools The sum of the data obtains the total loss data; and based on the total loss data, it is determined whether the current first mathematical model is suitable.
如上所述,在一个实施例中,第一数学模型是通过使用基于遗传算法的符号回归确定的;因此,当确定单元13确定第一数学模型不适合时,获取单元可以通过使用基于遗传算法的符号回归基于损失数据的和确定新的第一数学模型。而当确定单元13确定第一数学模型适合时,输出单元14用于 输出当前的第一数学模型、经约束的当前第一数学模型或者针对复数个机械工具中的目标机械工具的第二数学模型。As described above, in one embodiment, the first mathematical model is determined by using symbolic regression based on genetic algorithm; therefore, when the determining unit 13 determines that the first mathematical model is not suitable, the acquiring unit may use genetic algorithm-based Symbolic regression determines a new first mathematical model based on the sum of loss data. When the determining unit 13 determines that the first mathematical model is suitable, the output unit 14 is used to output the current first mathematical model, the constrained current first mathematical model, or the second mathematical model for the target machine tool among the plurality of machine tools. .
在一个具体实施例中,该设备10还包括评估单元15,其用于基于输出的针对每个机械工具的第二数学模型,预测相应机械工具的剩余使用寿命。In a specific embodiment, the device 10 further includes an evaluation unit 15 for predicting the remaining service life of the corresponding mechanical tool based on the output second mathematical model for each mechanical tool.
可以理解,本公开的各个实施例的方法和设备能够由计算机程序/软件实现。这些软件能够被载入到处理器的工作存储器中,当运行时用于执行根据本公开的各实施例的方法,由此得到用于建模分析的设备。It can be understood that the methods and devices of the various embodiments of the present disclosure can be implemented by computer programs/software. These software can be loaded into the working memory of the processor, and used to execute the method according to the embodiments of the present disclosure when running, thereby obtaining the equipment for modeling analysis.
图7示出了根据本发明的一个实施例的建模分析系统20。该建模分析系统20包括存储器21和处理器22。存储器21存储计算机程序指令,这些程序指令当被运行时能够实现根据本公开的各实施例的方法。处理器22,用于运行这些程序指令,以实现如上所描述的根据本公开的各实施例的方法。能够理解,存储器21处于远程位置,例如云端,处理器22通过网络来接收来自云端的程序指令。Fig. 7 shows a modeling analysis system 20 according to an embodiment of the present invention. The modeling analysis system 20 includes a memory 21 and a processor 22. The memory 21 stores computer program instructions, which when executed, can implement the methods according to the embodiments of the present disclosure. The processor 22 is configured to run these program instructions to implement the method according to the embodiments of the present disclosure as described above. It can be understood that the memory 21 is in a remote location, such as the cloud, and the processor 22 receives program instructions from the cloud through the network.
本公开的示范性实施例覆盖以下两者:从一开始就创建/使用本公开的计算机程序/软件,以及借助于更新将已有程序/软件转为使用本公开的计算机程序/软件。Exemplary embodiments of the present disclosure cover both of the following: creating/using the computer program/software of the present disclosure from the beginning, and converting an existing program/software to the computer program/software using the present disclosure by means of updating.
根据本公开另外的实施例,提供一种机器(如计算机)可读介质,例如CD-ROM,其中所述可读介质具有被存储在其上的计算机程序代码,该计算机程序代码当被执行时令计算机或处理器执行根据本公开的各实施例的方法。该机器可读介质例如是与其他硬件一起或作为其他硬件的部分供应的光学存储介质或固态介质。According to another embodiment of the present disclosure, there is provided a machine (such as a computer) readable medium, such as a CD-ROM, wherein the readable medium has computer program code stored thereon, and the computer program code when executed The computer or the processor executes the method according to the embodiments of the present disclosure. The machine-readable medium is, for example, an optical storage medium or a solid-state medium supplied with or as part of other hardware.
也可以将用于执行根据本公开的各实施例的方法的计算机程序以其他形式发布,例如经由因特网或者其他有线或无线电信系统。The computer program for executing the method according to the various embodiments of the present disclosure may also be distributed in other forms, such as via the Internet or other wired or wireless telecommunication systems.
计算机程序也可以被提供在诸如万维网的网络上,并且能够从这样的网络被下载到处理器的工作计算机中。The computer program can also be provided on a network such as the World Wide Web, and can be downloaded from such a network to the working computer of the processor.
必须指出,本公开的实施例是参考不同主题来描述的。尤其地,一些实施例是参考方法型权利要求来描述的,而其他实施例是参考设备/系统型权利要求来描述的。然而,本领域技术人员将从以上和以下描述获悉,除非另 外指明,除了属于一种类型的主题的特征的任意组合以外,涉及不同主题的特征之间的任意组合也被视为被本申请公开了。并且,能够组合全部特征,提供大于特征的简单加和的协同效应。It must be pointed out that the embodiments of the present disclosure are described with reference to different subjects. In particular, some embodiments are described with reference to method-type claims, while other embodiments are described with reference to device/system-type claims. However, those skilled in the art will learn from the above and the following description, unless otherwise specified, in addition to any combination of features belonging to one type of subject matter, any combination of features related to different subjects is also deemed to be disclosed in this application Up. In addition, all the features can be combined to provide a synergistic effect greater than the simple addition of the features.
上述对本公开特定实施例进行了描述。其它实施例在所附权利要求书的范围内。在一些情况下,在权利要求书中记载的动作或处理可以按照不同于实施例中的顺序来执行并且仍然可以实现期望的结果。另外,在附图中描绘的过程不一定要求示出的特定顺序或者连续顺序才能实现期望的结果。The specific embodiments of the present disclosure have been described above. Other embodiments are within the scope of the appended claims. In some cases, the actions or processing described in the claims may be performed in a different order than in the embodiments and still achieve desired results. In addition, the processes depicted in the drawings do not necessarily require the specific order or sequential order shown to achieve the desired result.
以上参照特定的实施例描述本公开,本领域技术人员应当理解,在不背离本公开的精神和基本特征的情况下,能够以各种方式来实现本公开的技术方案。具体的实施例仅仅是示意性的,而非限制性的。另外,这些实施例之间能够任意组合,来实现本公开的目的。本公开的保护范围由所附的权利要求书来定义。The present disclosure is described above with reference to specific embodiments, and those skilled in the art should understand that the technical solutions of the present disclosure can be implemented in various ways without departing from the spirit and basic characteristics of the present disclosure. The specific embodiments are merely illustrative and not restrictive. In addition, these embodiments can be combined arbitrarily to achieve the purpose of the present disclosure. The protection scope of the present disclosure is defined by the appended claims.
说明书和权利要求中的“包括”一词不排除其它元件或处理的存在,“第一”,“第二”等表述不表示顺序,也不限定数量。在说明书中说明或者在权利要求中记载的各个元件的功能也可以被分拆或组合,由对应的复数个元件或单一元件来实现。The term "comprising" in the specification and claims does not exclude the existence of other elements or processing, and expressions such as "first", "second" and the like do not denote order or limit the number. The function of each element described in the specification or described in the claims can also be divided or combined, and implemented by corresponding plural elements or a single element.

Claims (16)

  1. 对一种类型的机械工具的数据进行建模分析的方法(100,200,300),包括A method of modeling and analyzing the data of a type of machine tool (100, 200, 300), including
    获取所述类型的复数个机械工具中的每个机械工具的复数个参数的第一数据;Acquiring first data of a plurality of parameters of each of the plurality of mechanical tools of the type;
    根据预定义的规则使用至少一个未知系数对第一数学模型的至少一个组成元素进行约束(130,230,330),所述第一数学模型表示所述复数个参数之间的关系;Use at least one unknown coefficient to constrain at least one element of the first mathematical model according to a predefined rule (130, 230, 330), the first mathematical model representing the relationship between the plurality of parameters;
    基于获取的所述每个机械工具的所述复数个参数的所述第一数据和经约束的第一数学模型,确定(140,240,340)表示所述第一数学模型对所述类型的机械工具的适合程度的第二数据;Based on the acquired first data of the plurality of parameters of each machine tool and the constrained first mathematical model, it is determined (140, 240, 340) to indicate that the first mathematical model affects the type of The second data of the suitability of the machine tool;
    基于所述第二数据确定(150,250,350)所述第一数学模型是否适合;和如果确定所述第一数学模型不适合,则获取(120,220,320)新的第一数学模型。Determine (150, 250, 350) whether the first mathematical model is suitable based on the second data; and if it is determined that the first mathematical model is not suitable, obtain (120, 220, 320) a new first mathematical model .
  2. 根据权利要求1所述的方法(100,200,300),还包括The method (100, 200, 300) according to claim 1, further comprising
    将所述新的第一数学模型确定为当前的第一数学模型,并且Determine the new first mathematical model as the current first mathematical model, and
    针对所述当前的第一数学模型,重复执行所述约束,所述确定所述第二数据和所述确定所述第一数学模型是否适合。For the current first mathematical model, the constraint is repeatedly executed, the determination of the second data and the determination of whether the first mathematical model is suitable.
  3. 根据权利要求1所述的方法(100,200,300),其中,对所述第一数学模型的至少一个组成元素进行约束至少包括针对所述第一数学模型中的每个自变量,使用所述至少一个未知系数中的第一未知系数进行加权约束和/或使用所述至少一个未知系数中的第二未知系数进行刻度化。The method (100, 200, 300) according to claim 1, wherein constraining at least one component element of the first mathematical model includes at least for each independent variable in the first mathematical model, using all The first unknown coefficient in the at least one unknown coefficient is weighted and restricted and/or the second unknown coefficient in the at least one unknown coefficient is used for scaling.
  4. 根据权利要求1所述的方法(100,200,300),其中,所述确定所述第二数据包括The method (100, 200, 300) according to claim 1, wherein said determining said second data comprises
    对于所述每个机械工具,基于所述机械工具的所述复数个参数的所述第一数据,确定(140,240,340)针对所述机械工具的经约束的第一数学模型的 所述至少一个未知系数,从而获得所述机械工具的第二数学模型;和For each machine tool, based on the first data of the plurality of parameters of the machine tool, determine (140, 240, 340) the constrained first mathematical model for the machine tool At least one unknown coefficient, thereby obtaining a second mathematical model of the machine tool; and
    基于所述每个机械工具的所述复数个参数的所述第一数据和所述每个机械工具的所述第二数学模型,确定(140,240,340)所述第二数据。Based on the first data of the plurality of parameters of each machine tool and the second mathematical model of each machine tool, the second data (140, 240, 340) is determined.
  5. 根据权利要求4所述的方法(100,200,300),其中,所述确定所述第二数据包括The method (100, 200, 300) according to claim 4, wherein said determining said second data comprises
    对于所述每个机械工具,基于所述机械工具的所述复数个参数的所述第一数据和所述机械工具的所述第二数学模型,确定(140,240,340)针对所述机械工具的损失数据,所述损失数据表示根据所述每个机械工具的所述第二数学模型确定的选定参数的输出数据和所获取的所述选定参数的第一数据之间的差;For each machine tool, based on the first data of the plurality of parameters of the machine tool and the second mathematical model of the machine tool, it is determined (140, 240, 340) for the machine tool Loss data of the tool, the loss data representing the difference between the output data of the selected parameter determined according to the second mathematical model of each mechanical tool and the acquired first data of the selected parameter;
    确定(140,240,340)针对所述复数个机械工具的复数个损失数据的和;和Determine (140, 240, 340) the sum of a plurality of loss data for the plurality of machine tools; and
    基于所述复数个损失数据的和,确定(150,250,350)所述第一数学模型是否适合。Based on the sum of the plurality of loss data, it is determined (150, 250, 350) whether the first mathematical model is suitable.
  6. 根据权利要求5所述的方法(100,200,300),其中,所述第一数学模型是通过使用基于遗传算法的符号回归确定的;所述方法还包括The method (100, 200, 300) according to claim 5, wherein the first mathematical model is determined by using symbolic regression based on genetic algorithms; the method further comprises
    当确定所述第一数学模型不适合时,基于所述复数个损失数据的和,通过基于遗传算法的符号回归确定所述新的第一数学模型(120,220,320)。When it is determined that the first mathematical model is not suitable, based on the sum of the plurality of loss data, the new first mathematical model (120, 220, 320) is determined through symbolic regression based on genetic algorithm.
  7. 根据权利要求4-6中任一项所述的方法(100,200,300),还包括The method (100, 200, 300) according to any one of claims 4-6, further comprising
    当确定所述第一数学模型适合时,输出(160,260,360)针对所述类型的机械工具的所述第一数学模型、所述经约束的所述第一数学模型和/或针对所述复数个机械工具中的至少一个目标机械工具中的每个机械工具的所述第二数学模型。When it is determined that the first mathematical model is suitable, output (160, 260, 360) for the first mathematical model for the type of machine tool, the constrained first mathematical model and/or for the The second mathematical model of each of the at least one target machine tool among the plurality of machine tools is described.
  8. 对一种类型的机械工具的数据进行建模分析的设备(10),包括Equipment (10) for modeling and analyzing the data of a type of mechanical tool, including
    获取单元(11),其用于获取所述类型的复数个机械工具中的每个机械工具的复数个参数的第一数据;An obtaining unit (11), which is used to obtain first data of a plurality of parameters of each of the plurality of mechanical tools of the type;
    约束单元(12),其用于根据预定义的规则使用至少一个未知系数对第一数学模型的至少一个组成元素进行约束,所述第一数学模型表示所述复数个参数之间的关系;和A restriction unit (12), which is used to restrict at least one element of the first mathematical model using at least one unknown coefficient according to a predefined rule, the first mathematical model representing the relationship between the plurality of parameters; and
    确定单元(13),其基于获取的所述每个机械工具的所述复数个参数的所述第一数据和经约束的第一数学模型,确定表示所述第一数学模型对所述类型的机械工具的适合程度的第二数据,并且基于所述第二数据确定所述第一数学模型是否适合;A determining unit (13), which determines, based on the acquired first data of the plurality of parameters of each machine tool and the constrained first mathematical model, determining the effect of the first mathematical model on the type Second data on the suitability of the machine tool, and determining whether the first mathematical model is suitable based on the second data;
    其中,如果所述确定单元(13)确定所述第一数学模型不适合,则所述获取单元(11)获取新的第一数学模型。Wherein, if the determining unit (13) determines that the first mathematical model is not suitable, the acquiring unit (11) acquires a new first mathematical model.
  9. 根据权利要求8所述的设备(10),其中,The device (10) according to claim 8, wherein:
    所述约束单元(12)将所述新的第一数学模型确定为当前的第一数学模型以对其进行约束,所述确定单元(13)确定针对所述当前的第一数学模型的所述第二数据并且基于所述第二数据确定所述当前的第一数学模型是否适合。The restriction unit (12) determines the new first mathematical model as the current first mathematical model to restrict it, and the determination unit (13) determines the current first mathematical model for the Second data and determine whether the current first mathematical model is suitable based on the second data.
  10. 根据权利要求8所述的设备(10),其中,所述约束单元(12)至少针对所述第一数学模型中的每个自变量,使用所述至少一个未知系数中的第一未知系数进行加权约束和/或使用所述至少一个未知系数中的第二未知系数进行刻度化。The device (10) according to claim 8, wherein the constraint unit (12) uses the first unknown coefficient in the at least one unknown coefficient for at least each independent variable in the first mathematical model. Weighting constraints and/or using a second unknown coefficient among the at least one unknown coefficient for scaling.
  11. 根据权利要求8所述的设备(10),其中,所述确定单元(13)针对所述每个机械工具,基于所述机械工具的所述复数个参数的所述第一数据,确定针对所述机械工具的所述经约束的第一数学模型的所述至少一个未知系数,从而获得所述机械工具的第二数学模型;并且基于所述每个机械工具的所述复数个参数的所述第一数据和所述每个机械工具的所述第二数学模型,确定所述第二数据。The device (10) according to claim 8, wherein the determining unit (13) determines the specific value for each machine tool based on the first data of the plurality of parameters of the machine tool The at least one unknown coefficient of the constrained first mathematical model of the machine tool, thereby obtaining the second mathematical model of the machine tool; and the number of parameters based on the plurality of parameters of each machine tool The first data and the second mathematical model of each machine tool determine the second data.
  12. 根据权利要求11所述的设备(10),其中,所述确定单元(13)The device (10) according to claim 11, wherein the determining unit (13)
    对于所述每个机械工具,基于所述机械工具的所述复数个参数的所述第 一数据和所述机械工具的第二数学模型,确定针对所述机械工具的损失数据,所述损失数据表示根据所述每个机械工具的第二数学模型确定的选定参数的输出数据和所获得的所述选定参数的值之间的差;For each machine tool, based on the first data of the plurality of parameters of the machine tool and the second mathematical model of the machine tool, determine the loss data for the machine tool, the loss data Represents the difference between the output data of the selected parameter determined according to the second mathematical model of each mechanical tool and the obtained value of the selected parameter;
    确定针对所述复数个机械工具的复数个损失数据的和;并且Determine the sum of a plurality of loss data for the plurality of machine tools; and
    基于所述复数个损失数据的和,确定(150,250,350)所述第一数学模型是否适合。Based on the sum of the plurality of loss data, it is determined (150, 250, 350) whether the first mathematical model is suitable.
  13. 根据权利要求12所述的设备(10),其中,所述第一数学模型是通过使用基于遗传算法的符号回归确定的;并且当所述确定单元(13)确定所述第一数学模型不适合时,所述获取单元通过基于遗传算法的符号回归基于所述复数个损失数据的和确定所述新的第一数学模型。The device (10) according to claim 12, wherein the first mathematical model is determined by using symbolic regression based on genetic algorithms; and when the determining unit (13) determines that the first mathematical model is not suitable When the time, the acquiring unit determines the new first mathematical model based on the sum of the plurality of loss data through symbolic regression based on the genetic algorithm.
  14. 根据权利要求11-13中任一项所述的设备(10),还包括输出单元(14),当所述确定单元(13)确定所述第一数学模型适合时,所述输出单元(14)用于输出针对所述类型的机械工具的所述第一数学模型、所述经约束的第一数学模型,和/或针对所述复数个机械工具中的至少一个目标机械工具中的每个机械工具的所述第二数学模型。The device (10) according to any one of claims 11-13, further comprising an output unit (14), when the determining unit (13) determines that the first mathematical model is suitable, the output unit (14) ) For outputting the first mathematical model for the type of machine tool, the constrained first mathematical model, and/or for each of the at least one target machine tool among the plurality of machine tools The second mathematical model of the machine tool.
  15. 机器可读介质,存储有程序指令,当被处理器执行时,其用于执行根据权利要求1-7中任一项所述的方法。A machine-readable medium storing program instructions, which when executed by a processor are used to execute the method according to any one of claims 1-7.
  16. 建模分析系统,包括Modeling analysis system, including
    存储器,其存储程序指令;和Memory, which stores program instructions; and
    处理器,其运行所述程序指令以执行根据权利要求1-7中任一项所述的方法。A processor that runs the program instructions to execute the method according to any one of claims 1-7.
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