TWI628021B - Method for extracting intelligent features for predicting precision of electrical discharge machine and predicting method - Google Patents

Method for extracting intelligent features for predicting precision of electrical discharge machine and predicting method Download PDF

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TWI628021B
TWI628021B TW106138337A TW106138337A TWI628021B TW I628021 B TWI628021 B TW I628021B TW 106138337 A TW106138337 A TW 106138337A TW 106138337 A TW106138337 A TW 106138337A TW I628021 B TWI628021 B TW I628021B
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processing
feature
workpiece
discharge machine
average
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TW201821192A (en
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楊浩青
吳閔楠
陳政言
吳文傑
詹家銘
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財團法人金屬工業研究發展中心
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Abstract

一種用於放電加工機之精度預測的特徵萃取方法,包含以下步驟。獲取放電加工機處理數個工件樣本時之數組製程資料。每一組製程資料包含放電電壓訊號及放電電流訊號。利用製程資料建立加工特徵。蒐集在放電加工機的操作期間與加工特徵相關聯之數組樣本資料。利用機率分布法對與每一個加工特徵關聯的樣本資料進行配適分析。獲取被量測機台所量測出工件樣本之數個量測值。進行相關性分析步驟以獲得加工特徵與量測值間之數個相關係數。利用相關係數從加工特徵中選出預設加工特徵。 A feature extraction method for accuracy prediction of an electric discharge machine includes the following steps. Obtain the array process data when the EDM machine processes several workpiece samples. Each set of process data includes a discharge voltage signal and a discharge current signal. Process characteristics are established using process data. Array sample data associated with processing features during operation of the electrical discharge machine is collected. The probability distribution method is used to analyze the sample data associated with each processing feature. Obtain several measured values of the workpiece sample measured by the measuring machine. A correlation analysis step is performed to obtain a plurality of correlation coefficients between the processing features and the measured values. A preset machining feature is selected from the machining features using a correlation coefficient.

Description

用於放電加工機之精度預測的特徵萃取方法及預測方法 Feature extraction method and prediction method for accuracy prediction of electric discharge machine

本發明是有關於一種用於加工機之精度預測的特徵萃取方法以及加工精度的預測方法,且特別是有關於一種於放電加工機之精度預測的特徵萃取方法及放電加工機之加工精度的預測方法。 The invention relates to a feature extraction method for processing precision prediction of a processing machine and a prediction method for processing precision, and in particular to a feature extraction method for precision prediction of an electric discharge machine and prediction of machining accuracy of the electric discharge machine method.

一般的放電加工機在進行放電加工時,常因排渣不良、異常短路、或電極消耗等因素,造成工件尺寸不如預期以及工件表面粗糙度大而導致工件品質不佳。而且,一般的放電加工機並無法在加工過程中有效地預測每一個工件的加工品質,只能利用量測裝置針對完成後的工件來量測加工後之工件品質。此種作法不但費時,且效率不彰。 In general electric discharge machining, when the electric discharge machining is performed, the workpiece size is not as expected and the surface roughness of the workpiece is large due to factors such as poor slagging, abnormal short circuit, or electrode consumption, resulting in poor workpiece quality. Moreover, the general EDM machine cannot effectively predict the processing quality of each workpiece during the machining process, and only the measuring device can measure the quality of the processed workpiece for the finished workpiece. This practice is not only time-consuming but also inefficient.

為了解決工件加工過程無法立即檢測加工品質的缺失,目前已有一種預測系統,能在加工機進行加工作業的過程中來預測工件之加工品質。然而,如何找出放電加工 機中之影響加工品質與加工精度的預設特徵,以提供預測系統來預測加工精度已成為相關業者努力的目標。 In order to solve the problem that the workpiece processing process cannot immediately detect the lack of processing quality, there is a prediction system that can predict the processing quality of the workpiece during the processing operation of the processing machine. However, how to find out the electrical discharge machining The pre-set characteristics of the machine that affect the processing quality and processing accuracy to provide a prediction system to predict the machining accuracy have become the goal of the relevant industry.

因此,本發明之一目的是在提供一種用於放電加工機之精度預測的特徵萃取方法以及放電加工機之加工精度的預測方法,藉以有效地從放電加工機之製程參數中建立加工特徵,並從加工特徵中篩選出影響加工品質與加工精度的預設特徵,以提供預測系統預測加工精度,進而提升工件之品質。 SUMMARY OF THE INVENTION Accordingly, it is an object of the present invention to provide a feature extraction method for accuracy prediction of an electric discharge machine and a prediction method for processing accuracy of the electric discharge machine, thereby effectively establishing a machining feature from process parameters of the electric discharge machine, and The preset features affecting the processing quality and the processing precision are selected from the processing features to provide a prediction system to predict the machining accuracy, thereby improving the quality of the workpiece.

根據本發明之上述目的,提出一種用於放電加工機之精度預測的特徵萃取方法,包含以下步驟。獲取放電加工機分別處理複數個工件樣本時之複數組製程資料,其中,每一組製程資料包含放電電壓訊號以及放電電流訊號。利用製程資料建立複數個加工特徵。獲取被一量測機台所量測出之工件樣本之複數個量測值,其中每一個量測值分別為放電加工機根據製程資料所處理之工件的量測值。進行相關性分析步驟以獲得加工特徵與量測值間之複數個相關係數。利用相關係數來從加工特徵中選出至少一預設加工特徵。 According to the above object of the present invention, a feature extraction method for accuracy prediction of an electric discharge machine is proposed, which comprises the following steps. The multi-array process data is obtained when the EDM machine processes a plurality of workpiece samples respectively, wherein each set of process data includes a discharge voltage signal and a discharge current signal. A plurality of processing features are created using process data. Obtaining a plurality of measured values of the workpiece samples measured by a measuring machine, wherein each of the measured values is a measured value of the workpiece processed by the electric discharge machine according to the process data. A correlation analysis step is performed to obtain a plurality of correlation coefficients between the processed features and the measured values. A correlation coefficient is utilized to select at least one predetermined processing feature from the processing features.

根據本發明之上述目的,提出另一種用於放電加工機之精度預測的特徵萃取方法,包含以下步驟。獲取放電加工機分別處理複數個工件樣本時之複數組製程資料。其中,每一組製程資料包含放電電壓訊號以及放電電流訊號。 利用製程資料建立複數個加工特徵。蒐集在放電加工機的操作期間與加工特徵相關聯之複數組樣本資料。利用機率分布法對與每一個加工特徵關聯的樣本資料進行配適分析,以判斷每一個加工特徵的樣本資料的平均數及標準差是否可代表加工特徵,進而獲得判斷結果。獲取被量測機台所量測出工件樣本之複數個量測值,其中每一個量測值分別為放電加工機根據製程資料所處理工件樣本的量測值。進行相關性分析步驟以獲得加工特徵與量測值間之複數個相關係數。利用相關係數來從加工特徵中選出至少一預設加工特徵。 According to the above object of the present invention, another feature extraction method for accuracy prediction of an electric discharge machine is proposed, which comprises the following steps. Obtain the complex array process data when the EDM machine processes a plurality of workpiece samples respectively. Each set of process data includes a discharge voltage signal and a discharge current signal. A plurality of processing features are created using process data. Complex array sample data associated with processing features during operation of the electrical discharge machine is collected. The probability distribution method is used to analyze the sample data associated with each processing feature to determine whether the average number and standard deviation of the sample data of each processing feature can represent the processing characteristics, and then obtain the judgment result. Obtaining a plurality of measured values of the workpiece sample measured by the measuring machine, wherein each of the measured values is a measured value of the workpiece sample processed by the electric discharge machine according to the process data. A correlation analysis step is performed to obtain a plurality of correlation coefficients between the processed features and the measured values. A correlation coefficient is utilized to select at least one predetermined processing feature from the processing features.

根據本發明之上述目的,另提出一種放電加工機之加工精度的預測方法,包含以下步驟。利用前述之特徵萃取方法獲得對應每一個量測值之至少一預設加工特徵。使用每一個量測值與對應每一個量測值之至少一預設加工特徵,來建立針對每一個量測值之預測模型。依據製程資料操作放電加工機來處理工件,並蒐集在放電加工機的操作期間與製程資料相關聯之工件的一組偵測資料。轉換工件之組偵測資料為至少一組特徵資料。輸入工件之至少一組特徵資料至預測模型中,而推估出針對量測值之工件的至少一預測精度值。 According to the above object of the present invention, there is further provided a method for predicting the processing accuracy of an electric discharge machine, comprising the following steps. At least one predetermined processing feature corresponding to each of the measured values is obtained by the feature extraction method described above. A prediction model for each measurement is established using each of the measurements and at least one predetermined machining feature corresponding to each of the measurements. The electrical discharge machine is operated in accordance with the process data to process the workpiece and collect a set of detected data of the workpiece associated with the process data during operation of the electrical discharge machine. The group detection data of the converted workpiece is at least one set of feature data. At least one set of feature data of the workpiece is input into the predictive model, and at least one predicted accuracy value of the workpiece for the measured value is estimated.

由上述可知,本發明藉由蒐集放電加工機的製程參數(如放電電壓訊號以及放電電流訊號),並依據製程參數建立加工特徵,在從加工特徵中彙整出影響加工精度的預設特徵,進而提供預測系統有效預測加工精度,進而提升加工品質。 It can be seen from the above that the present invention collects process parameters (such as discharge voltage signals and discharge current signals) of the electric discharge machine, and establishes machining features according to the process parameters, and extracts preset features affecting the machining precision from the machining features, and further Provide predictive systems to effectively predict machining accuracy and improve machining quality.

另一方面,本發明透過配適分析的方式可從大量樣本資料中擷取適當的資料來代表所對應的加工特徵。而且,透過配適分析的方式,可進一步驗證樣本資料利用其平均數與標準差來代表所對應之加工特徵的可靠性。 On the other hand, the present invention can extract appropriate data from a large amount of sample data to represent the corresponding processing features by means of adaptive analysis. Moreover, by fitting the analysis, it is possible to further verify that the sample data uses its mean and standard deviation to represent the reliability of the corresponding processing features.

100‧‧‧放電加工設備 100‧‧‧Electrical discharge equipment

110‧‧‧放電加工機 110‧‧‧Electric discharge machine

111‧‧‧主軸 111‧‧‧ Spindle

111a‧‧‧電極 111a‧‧‧electrode

120‧‧‧處理模組 120‧‧‧Processing module

121‧‧‧感測單元 121‧‧‧Sensor unit

122‧‧‧擷取單元 122‧‧‧Capture unit

123‧‧‧處理單元 123‧‧‧Processing unit

200‧‧‧量測機台 200‧‧‧Measuring machine

300‧‧‧虛擬量測系統 300‧‧‧Virtual Measurement System

400‧‧‧特徵萃取方法 400‧‧‧Characteristic extraction method

410‧‧‧步驟 410‧‧‧Steps

420‧‧‧步驟 420‧‧ steps

430‧‧‧步驟 430‧‧ steps

440‧‧‧步驟 440‧‧‧Steps

450‧‧‧步驟 450‧‧‧Steps

460‧‧‧步驟 460‧‧ steps

470‧‧‧步驟 470‧‧‧ steps

500‧‧‧特徵萃取方法 500‧‧‧Characteristic extraction method

510‧‧‧步驟 510‧‧ steps

520‧‧‧步驟 520‧‧‧Steps

530‧‧‧步驟 530‧‧‧Steps

540‧‧‧步驟 540‧‧‧Steps

550‧‧‧步驟 550‧‧ steps

P1‧‧‧工件 P1‧‧‧ workpiece

為了更完整了解實施例及其優點,現參照結合所附圖式所做之下列描述,其中:〔圖1〕係繪示依照本發明之一實施方式之一種放電加工設備的裝置示意圖;〔圖2〕係繪示依照本發明之一實施方式之一種用於放電加工機之精度預測的特徵萃取方法的流程示意圖;〔圖3〕為電壓及電流與時間的關係圖;〔圖4〕為簡化之電壓波形及電流波形之示意圖;〔圖5〕為電流與時間的關係圖;〔圖6〕為電流與時間的關係圖;〔圖7〕為電流與時間的關係圖;〔圖8〕為電壓及電流與時間的關係圖;〔圖9A〕-〔圖9D〕分別為針對火花頻率樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖(Quantile-Quantile Plot)以及P-P圖(probability-probability plot); 〔圖10A〕-〔圖10D〕分別為針對開路比樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖11A〕-〔圖11D〕分別為針對短路比樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖12A〕-〔圖12D〕分別為針對平均短路電流時間樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖13A〕-〔圖13D〕分別為針對平均短路電流樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖14A〕-〔圖14D〕分別為平均延遲時間樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖15A〕-〔圖15D〕分別為平均放電峰值電流樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖16A〕-〔圖16D〕分別為平均放電持續時間樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖17A〕-〔圖17D〕分別為針對平均放電能量樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖;〔圖18〕係繪示依照本發明之一實施方式之一種放電加工機之加工精度的預測方法的流程示意圖; 〔圖19〕是利用虛擬量測系統針對孔洞底面之粗糙度的量測值與其預設特徵來建模所產生之測試結果;〔圖20〕是利用虛擬量測系統針對孔洞下開口之真圓度的量測值與其預設特徵來建模所產生之測試結果;以及〔圖21〕是利用虛擬量測系統針對孔洞下開口之直徑的量測值與其預設特徵來建模所產生之測試結果。 For a more complete understanding of the embodiments and the advantages thereof, the following description is made with reference to the accompanying drawings, wherein: FIG. 1 is a schematic view showing an apparatus of an electric discharge machining apparatus according to an embodiment of the present invention; 2] is a schematic flow chart showing a feature extraction method for accuracy prediction of an electric discharge machine according to an embodiment of the present invention; [Fig. 3] is a graph of voltage and current versus time; [Fig. 4] is simplified Schematic diagram of voltage waveform and current waveform; [Fig. 5] is a graph of current versus time; [Fig. 6] is a graph of current versus time; [Fig. 7] is a graph of current versus time; [Fig. 8] The relationship between voltage and current and time; [Fig. 9A] - [Fig. 9D] respectively, the histogram, empirical distribution map, QQ map (Quantile-Quantile Plot) and PP map obtained by matching the probability distribution of the spark frequency sample data. (probability-probability plot); [Fig. 10A] - [Fig. 10D] respectively, a histogram, an empirical distribution map, a QQ map, and a PP map obtained by fitting the open ratio to the sample data for the probability distribution; [Fig. 11A] - [Fig. 11D] are respectively for the short circuit ratio The sample data is used as the probability distribution, the empirical distribution map, the QQ map and the PP map; [Fig. 12A] - [Fig. 12D] are the histograms obtained by fitting the probability distribution of the average short-circuit current time sample data, The empirical distribution map, the QQ map, and the PP map; [Fig. 13A] - [Fig. 13D] are respectively a histogram, an empirical distribution map, a QQ map, and a PP map obtained by fitting the probability distribution data of the average short-circuit current sample data; [Fig. 14A] ]-[Fig. 14D] respectively, the histogram, empirical distribution map, QQ map and PP map obtained by fitting the probability data of the average delay time sample data; [Fig. 15A] - [Fig. 15D] are the average discharge peak current sample data respectively. The histogram distribution, the empirical distribution map, the QQ map and the PP map are obtained by the probability distribution; [Fig. 16A] - [Fig. 16D] respectively, the average discharge duration sample data is used as the probability distribution matching system. Obtained histogram, empirical distribution map, QQ map and PP map; [Fig. 17A] - [Fig. 17D] respectively, the histogram, empirical distribution map, QQ map and PP obtained by matching the probability distribution data of the average discharge energy sample data. Figure 18 is a schematic flow chart showing a method for predicting the processing accuracy of an electric discharge machine according to an embodiment of the present invention; [Fig. 19] is a test result generated by using a virtual measurement system to model the roughness of the bottom surface of the hole and its preset features; [Fig. 20] is a virtual circle for the opening of the hole under the hole using the virtual measurement system. The measured value of the measured value and its preset characteristics are used to model the test result; and [Fig. 21] is a test generated by modeling the measured value of the diameter of the opening under the hole with the virtual measuring system and its preset feature. result.

請同時參照圖1,其係繪示依照本發明之一實施方式之一種放電加工設備的裝置示意圖,圖2係繪示依照本發明之一實施方式之一種用於放電加工機之精度預測的特徵萃取方法的流程示意圖。本實施方式之精度預測的特徵萃取方法400可利用圖1所示之放電加工設備100來實現。本實施方式之放電加工設備100包含放電加工機110以及處理模組120電性連接放電加工機110。放電加工機110具有主軸111,且主軸111設有電極111a,透過電極111a可對工件樣本P1加工。處理模組120包含感測單元121、擷取單元122以及處理單元123。感測單元121主要用來產生感測訊號,以提供擷取單元122判斷是否要擷取放電加工機110在線上加工時之製程資料。處理單元123則可根據所擷取的製程資料建立數個加工特徵,並可根據量測機台200所產生的不同量測項目的量測值,再從加工特徵中彙整出與加工精度有關的預設特徵,以提供虛擬量測系統300來預測放電加工機110之加工精度。 Please refer to FIG. 1 , which is a schematic diagram of an apparatus for electrical discharge machining apparatus according to an embodiment of the present invention, and FIG. 2 is a schematic diagram of accuracy prediction for an electric discharge machine according to an embodiment of the present invention. Schematic diagram of the extraction process. The feature extraction method 400 of the accuracy prediction of the present embodiment can be realized by the electric discharge machining apparatus 100 shown in FIG. 1. The electric discharge machining apparatus 100 of the present embodiment includes an electric discharge machine 110 and a processing module 120 electrically connected to the electric discharge machine 110. The electric discharge machine 110 has a main shaft 111, and the main shaft 111 is provided with an electrode 111a through which the workpiece sample P1 can be processed. The processing module 120 includes a sensing unit 121, a capturing unit 122, and a processing unit 123. The sensing unit 121 is mainly used to generate the sensing signal to provide the capturing unit 122 to determine whether to process the processing data when the electric discharge machine 110 is processed online. The processing unit 123 can establish a plurality of processing features according to the processed process data, and can collect the measured values of the different measurement items generated by the measuring machine 200, and then extract the processing precision from the processing features. The preset features are provided to provide a virtual metrology system 300 to predict the machining accuracy of the EDM machine 110.

在一實施例中,感測單元121可為雷射測距裝置,且設置在主軸111上。藉此,擷取單元122可透過雷射測距裝置感測電極111a的位置來選擇是否要擷取放電加工機110之製程資料(即電壓訊號與電流訊號)。舉例而言,透過雷射測距裝置判斷主軸111的移動方向是否為進給方向,若判斷結果為是,則代表主軸111正在進給加工中,故擷取單元122可進一步取得加工時之製程資料。相反地,若判斷結果為否,擷取單元122則不需要擷取製程資料。由此可知,透過感測單元121可有效地篩選擷取單元122擷取之所需資料量。在其他實施例中,感測單元121亦可為光學尺。或者,擷取單元122亦可直接從放電加工機110之控制器中得知主軸111的座標位置,來判斷是否要擷取相關製程資料,同樣可達到篩選擷取單元122擷取之所需資料量之目的。 In an embodiment, the sensing unit 121 can be a laser ranging device and disposed on the main shaft 111. Thereby, the capturing unit 122 can select whether to process the process data (ie, the voltage signal and the current signal) of the electric discharge machine 110 through the position of the laser ranging device sensing electrode 111a. For example, the laser ranging device determines whether the moving direction of the spindle 111 is the feeding direction. If the determination result is YES, it indicates that the spindle 111 is being fed, so the capturing unit 122 can further obtain the processing during processing. data. Conversely, if the result of the determination is no, the capture unit 122 does not need to retrieve the process data. Therefore, the sensing unit 121 can effectively filter the required amount of data captured by the capturing unit 122. In other embodiments, the sensing unit 121 can also be an optical scale. Alternatively, the capturing unit 122 can also directly learn the coordinate position of the spindle 111 from the controller of the electric discharge machine 110 to determine whether the relevant process data is to be retrieved, and the required data captured by the screening and capturing unit 122 can also be obtained. The purpose of quantity.

請同時參照圖1至圖3,其中圖3為電壓及電流與時間的關係圖。本實施方式之特徵萃取方法400主要是根據預定之加工指令與工件樣本特性,蒐集放電加工機100之放電過程中的製程資料(例如圖3中之放電電壓訊號及放電電流訊號)後,然後根據這些製程資料建立出複數個加工特徵,並應用資料融合技術方法從這些加工特徵中彙整出可用於推估加工精度之預設特徵。這些彙整出的預設特徵主要可提供預測系統來預測放電加工機之加工精度。 Please refer to FIG. 1 to FIG. 3 at the same time, wherein FIG. 3 is a graph of voltage and current versus time. The feature extraction method 400 of the present embodiment mainly collects process data (for example, the discharge voltage signal and the discharge current signal in FIG. 3) in the discharge process of the electric discharge machine 100 according to predetermined processing instructions and workpiece sample characteristics, and then according to These process data establish a plurality of processing features, and the data fusion technology method is used to extract preset features that can be used to estimate the processing accuracy. These preset features provide a predictive system to predict the machining accuracy of the EDM.

請繼續參照圖2及圖3,本實施方式之特徵萃取方法400包含以下步驟。首先,進行步驟410,以獲取放電 加工機分別處理複數個工件樣本時之複數組製程資料。在一實例中,每一組製程資料主要包含放電電壓訊號及放電電流訊號。在一例子中,製程資料為放電加工機在放電加工過程之加工條件(例如開路電壓以及脈衝on/off時間等)、以及機器狀態(例如實際放電電壓波形與放電電流波形等)。在本實施例中,可利用高壓探棒以及電流勾表來感測放電加工機之放電電壓訊號以及放電電流訊號。 2 and FIG. 3, the feature extraction method 400 of the present embodiment includes the following steps. First, proceed to step 410 to obtain a discharge. The complex array process data when the processing machine processes a plurality of workpiece samples respectively. In one example, each set of process data mainly includes a discharge voltage signal and a discharge current signal. In one example, the process data is the processing conditions (eg, open circuit voltage and pulse on/off time, etc.) of the electrical discharge machine during the electrical discharge machining process, and the machine state (eg, actual discharge voltage waveform and discharge current waveform, etc.). In this embodiment, the high voltage probe and the current hook can be used to sense the discharge voltage signal and the discharge current signal of the electric discharge machine.

在獲取放電加工機之製程資料後,進行步驟420,以利用製程資料建立複數個加工特徵。在本實施例中,可應用資料融合技術來從放電電壓訊號以及放電電流訊號建立加工特徵,且這些加工特徵均可用來推估加工精度。在建立加工特徵之前,可利用如圖3所示之放電電壓波形及放電電流波形來建立門檻值並擷取有效波形時間。請參照圖4所示,圖4為電壓波形及電流波形之示意圖。為了清楚說明,圖4是繪示簡化版之電壓波形及電流波形圖來說明,且圖4所示之td代表延遲時間(ignition delay time)或充電時間、te代表放電時間(discharge duration time)、t0代表間隔時間(pulse interval time)、u0代表開路電壓(open voltage)、ie代表放電電流(discharge current)。門檻值是根據實驗需求來建立,如圖4所示,可建立例如線L1來做為判別波峰數之門檻值、線L2做為判別短路之門檻值以及線L3來判別波峰之門檻值。擷取有效波形時間的操作包含擷取各個電流峰的起始點及結束點,並計算時間、擷取各個電 壓峰的起始點及結束點,並計算時間、以及擷取電壓off時間的起始點及結束點。 After obtaining the process data of the electric discharge machine, step 420 is performed to establish a plurality of processing features using the process data. In this embodiment, a data fusion technique can be applied to create processing features from the discharge voltage signal and the discharge current signal, and these processing features can be used to estimate the processing accuracy. Before the processing feature is established, the discharge voltage waveform and the discharge current waveform as shown in FIG. 3 can be used to establish the threshold value and capture the effective waveform time. Please refer to FIG. 4, which is a schematic diagram of a voltage waveform and a current waveform. For the sake of clarity, FIG. 4 illustrates a simplified version of the voltage waveform and current waveform diagram, and t d shown in FIG. 4 represents an ignition delay time or a charging time, and t e represents a discharge duration time. ), t 0 represents a pulse interval time, u 0 represents an open voltage, and i e represents a discharge current. The threshold value is established according to the experimental requirements. As shown in FIG. 4, for example, the line L1 can be established as the threshold value for discriminating the number of peaks, the line L2 is used as the threshold value for judging the short circuit, and the line L3 is used to discriminate the threshold value of the peak. The operation of capturing the effective waveform time includes extracting the start point and the end point of each current peak, calculating the time, extracting the start point and the end point of each voltage peak, and calculating the time and the time of the drawoff time. Start and end points.

在本實施例中,加工特徵包含火花頻率(spark frequency)、開路比(open circuit ratio)、短路比(Short circuit ratio)、平均短路時間、短路時間標準差、平均短路電流、短路電流標準差、平均延遲時間、延遲時間標準差、平均放電峰值電流(Average discharge peak current)、峰值電流標準差、平均放電時間、放電時間標準差、平均放電能量以及放電能量標準差。 In this embodiment, the processing features include a spark frequency, an open circuit ratio, a short circuit ratio, an average short circuit time, a short circuit time standard deviation, an average short circuit current, and a short circuit current standard deviation. Average delay time, standard deviation of delay time, Average discharge peak current, peak current standard deviation, average discharge time, discharge time standard deviation, average discharge energy, and discharge energy standard deviation.

在加工特徵中,火花頻率、平均放電峰值電流、峰值電流標準差、平均放電時間、以及放電時間標準差主要是從放電電流訊號所建立。其中,火花頻率的定義為訊號期間內出現的火花總數。請參照圖5,其為電流與時間的關係圖。為了識別電流訊號中的火花,可從例如圖5之電流與時間的關係圖中定義脈衝時間範圍以及最小門檻峰值(例如圖4之線L3),在脈衝時間範圍內,當電流波峰值超過最小門檻峰值時,可定義出現電流火花。 In the processing characteristics, the spark frequency, the average discharge peak current, the peak current standard deviation, the average discharge time, and the discharge time standard deviation are mainly established from the discharge current signal. Among them, the spark frequency is defined as the total number of sparks that appear during the signal period. Please refer to FIG. 5 , which is a graph of current versus time. In order to identify the spark in the current signal, the pulse time range and the minimum threshold peak (for example, line L3 in Fig. 4) can be defined from the relationship between current and time in Fig. 5, and the peak value of the current wave exceeds the minimum in the pulse time range. When the threshold is peaked, a current spark can be defined.

請參照圖6,其為電流與時間的關係圖。放電峰值電流(discharge peak current)為脈衝期間內,通過電極到達工件的最大電流值。平均放電峰值電流定義為在一段時間內(例如圖6所示之脈衝開始至脈衝結束的期間)測量的放電峰值電流的平均值。峰值電流標準差同樣是從放電峰值電流計算而來。又如圖6所示,放電時間(discharge duration) 為放電電流波形開始點到結束點間(例如圖6所示之脈衝開始至脈衝結束的期間)的時間差。 Please refer to FIG. 6, which is a graph of current versus time. The discharge peak current is the maximum current value that reaches the workpiece through the electrode during the pulse period. The average discharge peak current is defined as the average value of the discharge peak currents measured over a period of time (for example, the period from the start of the pulse to the end of the pulse shown in FIG. 6). The peak current standard deviation is also calculated from the peak discharge current. As shown in Figure 6, the discharge duration (discharge duration) It is the time difference between the start point and the end point of the discharge current waveform (for example, the period from the start of the pulse to the end of the pulse shown in Fig. 6).

在加工特徵中,平均延遲時間、延遲時間標準差、短路比、平均短路時間及短路時間標準差是從放電電壓訊號所建立。請再次參照圖4,平均延遲時間定義為從已建立足夠開路電壓的時間點開始,到電壓脈衝穿過電極與工件間的間隙,並開始有放電電流為止的時間差(例如圖4所示之td)。 In the processing characteristics, the average delay time, the delay time standard deviation, the short circuit ratio, the average short circuit time, and the short circuit time standard deviation are established from the discharge voltage signal. Referring again to FIG. 4, the average delay time is defined as the time difference from the point in time when a sufficient open circuit voltage has been established to the gap between the electrode and the workpiece, and the start of the discharge current (for example, as shown in FIG. 4). d ).

短路比的定義為短路脈衝(short circuit pulse)數除以放電脈衝數。請參照圖7,圖7為電流與時間的關係圖。短路脈衝為於一放電脈衝周期內,開路電壓值持續小於指定電壓門檻(例如圖4之線L2)時,則該次的放電脈衝期間則紀錄為一次短路脈衝。如圖7所示,平均短路時間及短路時間標準差均與短路持續時間(Short circuit duration)有關,且短路持續時間定義為在一段放電脈衝期間內(需連續兩個脈衝以上)發生多次連續短路,此短路持續時間計算方式為在短路期間內,第一個短路峰(short circuit peak)到最後一個短路脈衝峰的時間差。 The short circuit ratio is defined as the number of short circuit pulses divided by the number of discharge pulses. Please refer to FIG. 7, which is a graph of current versus time. When the short circuit pulse is within a discharge pulse period and the open circuit voltage value continues to be less than the specified voltage threshold (for example, line L2 of FIG. 4), the discharge pulse period of the time is recorded as a short circuit pulse. As shown in Figure 7, the average short-circuit time and short-circuit time standard deviation are related to the short circuit duration, and the short-circuit duration is defined as multiple consecutive occurrences during a period of discharge pulse (more than two consecutive pulses are required). Short circuit, this short circuit duration is calculated as the time difference from the short circuit peak to the last short pulse peak during the short circuit.

在加工特徵中,開路比、平均放電能量、放電能量標準差、平均短路電流及短路電流標準差則是根據放電電流訊號以及放電電壓訊號所共同建立。請參照圖8,其為電壓及電流與時間的關係圖。如圖8所示,當一電壓峰峰(Ignition Voltage)結束時,並沒有跟著一電流峰(Discharge Current)上升時即稱之為開路(open circuit)。發生開路代表電壓峰未能導引出後續電流峰,即為無效脈衝。而開路比定義為開路次數除以放電脈衝總數。 In the processing characteristics, the open circuit ratio, the average discharge energy, the discharge energy standard deviation, the average short circuit current, and the short circuit current standard deviation are jointly established based on the discharge current signal and the discharge voltage signal. Please refer to FIG. 8 , which is a graph of voltage and current versus time. As shown in Figure 8, when a voltage peak (Ignition Voltage) ends and does not follow a current peak (Discharge Current), it is called an open circuit (open). Circuit). An open circuit indicates that the voltage peak fails to lead to a subsequent current peak, which is an invalid pulse. The open circuit ratio is defined as the number of open circuits divided by the total number of discharge pulses.

平均放電能量主要是用來保持放電加工製程的穩定性以確保加工品質,而第i次放電的放電能量(Ei)公式如以下公式(1): The average discharge energy is mainly used to maintain the stability of the electric discharge machining process to ensure the processing quality, and the discharge energy (Ei) formula of the i-th discharge is as shown in the following formula (1):

其中,tei為放電持續時間,Ui為放電電壓,Ipi為放電峰電流,此公式是假設在放電過程中,放電電壓保持不變。 Where t ei is the discharge duration, U i is the discharge voltage, and I pi is the discharge peak current. This formula assumes that the discharge voltage remains constant during the discharge process.

短路電流主要是定義在每一個放電脈衝期間(pulse duration)內,最大峰值電流(超過最小門檻)與最小谷值電流(低於最大門檻)的平均值。平均短路電流(Average Short Current)則是定義在短路持續期間,所有的脈衝短路電流值。 The short-circuit current is mainly defined as the average value of the maximum peak current (beyond the minimum threshold) and the minimum valley current (below the maximum threshold) during each pulse duration. The Average Short Current is defined as the value of all pulse short-circuit currents during the duration of the short circuit.

請同時參照圖1及圖2,在建立複數個加工特徵後,可進行步驟430,蒐集在放電加工機110的操作期間與加工特徵相關聯之複數組樣本資料。本實施例是以長度、寬度以及高度分別為30mm、30mm及10mm的模具鋼作為工件,並搭配使用直徑為3mm的電極,其中挖孔深度為100um,電流為4A。其中,本實施例係以挖孔加工為例,透過電極對工件進行鑽孔的方式在工件形成孔洞。在加工的過程中,主軸111在不同進給位置時,擷取單元122可擷取到多個不同的電流與電壓訊號。因此,可進一步獲得主軸111在不同進給位置區間與加工特徵相對應之複數組樣本資 料。例如,在主軸111對工件樣本P1進行加工的過程中,處理單元123可獲得數個火花頻率樣本資料、數個開路比樣本資料、數個短路比樣本資料、數個平均短路時間樣本資料、數個平均短路電流樣本資料、數個平均延遲時間樣本資料、數個延遲時間標準差樣本資料、數個平均放電峰值電流樣本資料、數個峰值電流標準差樣本資料、數個平均放電時間樣本資料、數個平均放電時間標準差樣本資料、數個平均放電能量樣本資料、以及數個放電能量標準差樣本資料。 Referring to both FIG. 1 and FIG. 2, after a plurality of processing features are established, step 430 can be performed to collect the complex array sample data associated with the processing features during operation of the electrical discharge machine 110. In this embodiment, a mold steel having a length, a width, and a height of 30 mm, 30 mm, and 10 mm, respectively, is used as a workpiece, and an electrode having a diameter of 3 mm is used, wherein the depth of the hole is 100 μm and the current is 4 A. In the embodiment, the hole drilling process is taken as an example, and a hole is formed in the workpiece by drilling the workpiece through the electrode. During the processing, when the spindle 111 is in different feeding positions, the capturing unit 122 can capture a plurality of different current and voltage signals. Therefore, the complex array sample corresponding to the processing feature of the spindle 111 in different feed position intervals can be further obtained. material. For example, in the process of processing the workpiece sample P1 by the spindle 111, the processing unit 123 can obtain a plurality of spark frequency sample data, a plurality of open circuit ratio sample data, a plurality of short circuit ratio sample data, a plurality of average short circuit time sample data, and a number. Average short-circuit current sample data, several average delay time sample data, several delay time standard deviation sample data, several average discharge peak current sample data, several peak current standard deviation sample data, several average discharge time sample data, Several average discharge time standard deviation sample data, several average discharge energy sample data, and several discharge energy standard deviation sample data.

在獲得與加工特徵相關聯之數組樣本資料後,接著進行步驟440,以利用機率分布法來對每一個樣本資料進行配適分析,以判斷每一組樣本資料的平均數及標準差是否可代表整體之加工特徵,進而得到判斷結果。在本實施例中,是利用常態(normal)分布法、Weibull分布法與Gamma分布法來對每一個加工特徵之所有樣本資料進行配適分析,以判斷這些樣本資料是否符合常態分布。在一些例子中,可利用P-P圖及Q-Q圖來比對機率分布法所產生的分布是否符合理想常態分布曲線。若判斷結果為是,則表示每一個加工特徵的樣本資料的平均數及標準差可代表所對應之加工特徵。透過配適分析的方式可從大量樣本資料中擷取適當的資料來代表所對應的加工特徵。而且,透過配適分析的方式,可進一步驗證樣本資料利用其平均數與標準差來代表所對應之加工特徵的可靠性。相反地,若判斷結果為否,則表示可在後續的相關性分析步驟中省略此加工特徵之相關性分析,但此並非用以限制本發明。 After obtaining the array sample data associated with the processing feature, step 440 is performed to perform a fit analysis on each sample data by using the probability distribution method to determine whether the average number and standard deviation of each sample data are representative. The overall processing characteristics, and then the judgment results. In the present embodiment, the normal distribution method, the Weibull distribution method, and the Gamma distribution method are used to perform fitting analysis on all sample data of each processing feature to determine whether the sample data conforms to the normal distribution. In some examples, the P-P map and the Q-Q map can be used to compare whether the distribution generated by the probability distribution method conforms to the ideal normal distribution curve. If the judgment result is yes, it means that the average number and standard deviation of the sample data of each processing feature can represent the corresponding processing features. Appropriate analysis can be used to extract the appropriate data from a large number of sample data to represent the corresponding processing features. Moreover, by fitting the analysis, it is possible to further verify that the sample data uses its mean and standard deviation to represent the reliability of the corresponding processing features. Conversely, if the result of the determination is no, it indicates that the correlation analysis of the processing feature can be omitted in the subsequent correlation analysis step, but this is not intended to limit the present invention.

請參照圖9A-圖9D,圖9A-圖9D分別為針對火花頻率樣本資料作機率分布配適所得到之直方圖、經驗分布圖圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,火花頻率樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表火花頻率樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖9A-圖9D可看出,火花頻率樣本資料的分布是落在理想線附近,這表示這些火花頻率樣本資料接近常態分布。因此,可使用這些火花頻率樣本資料的平均數及標準差可代表整體火花頻率的特徵值。 Please refer to FIG. 9A - FIG. 9D . FIG. 9A - FIG. 9D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution of the spark frequency sample data. The Q-Q diagram and the oblique line in the P-P diagram represent the ideal line, and the ideal line represents the line that appears when the spark frequency sample data satisfies the normal distribution under ideal conditions. The blue circle, the red circle and the green circle in the figure respectively represent the actual data of the spark frequency sample data according to the normal distribution, the Weibull distribution and the distribution generated by the gamma distribution method. As can be seen from Figures 9A-9D, the distribution of the spark frequency sample data falls near the ideal line, which indicates that these spark frequency sample data are close to the normal distribution. Therefore, the average and standard deviation of the data of these spark frequency samples can be used to represent the eigenvalues of the overall spark frequency.

請參照圖10A-圖10D,圖10A-圖10D分別為針對開路比樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,開路比樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表開路比樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖10A-圖10D可看出,開路比樣本資料的分布是落在理想線附近,這表示這些開路比樣本資料接近常態分布。因此,可使用這些開路比樣本資料的平均數及標準差可代表整體開路比的特徵值。 Please refer to FIG. 10A - FIG. 10D . FIG. 10A - FIG. 10D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram, and a P-P diagram obtained by fitting the probability ratio to the sample data. The Q-Q diagram and the oblique line in the P-P diagram represent the ideal line, and the ideal line represents the line that appears when the open circuit satisfies the normal distribution in the ideal case. The blue circle, red circle and green circle in the figure respectively represent the distribution of the actual data of the open-circuit ratio sample data according to the normal distribution, the Weibull distribution and the gamma distribution method. As can be seen from Figures 10A-10D, the distribution of open-circuit ratio sample data falls near the ideal line, which means that these open circuits are closer to the normal distribution than the sample data. Therefore, the average and standard deviation of these open circuit ratio sample data can be used to represent the eigenvalues of the overall open circuit ratio.

請參照圖11A-圖11D,圖11A-圖11D分別為針對短路比樣本資料作機率分布配適所得到之直方圖、經驗分布 圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,短路比之樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表短路比樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖11A-圖11D可看出,短路比樣本資料的分布與理想分布差異較大,這代表並無法使用這些短路比樣本資料的平均數及標準差,來代表整體短路比的特徵值。 Please refer to FIG. 11A - FIG. 11D , and FIG. 11A - FIG. 11D are respectively a histogram and empirical distribution obtained by fitting the probability distribution of the short-circuit ratio sample data. Figure, Q-Q diagram and P-P diagram. The Q-Q diagram and the oblique line in the P-P diagram represent the ideal line, and the ideal line represents the line that appears when the short-circuit ratio of the sample data satisfies the normal distribution. The blue circle, the red circle and the green circle in the figure respectively represent the distribution of the actual data of the short-circuit ratio sample data according to the normal distribution, the Weibull distribution and the gamma distribution method. It can be seen from Fig. 11A - Fig. 11D that the distribution of the short circuit is larger than the ideal distribution of the sample data, which means that the average value and the standard deviation of the short circuit ratio sample data cannot be used to represent the characteristic value of the overall short circuit ratio.

請參照圖12A-圖12D,圖12A-圖12D分別為針對平均短路電流時間樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,平均短路電流時間之樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表平均短路電流時間樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖12A-圖12D可看出,平均短路電流時間之樣本資料的分布與理想分布差異較大,這代表並無法使用這些平均短路電流時間樣本資料的平均數及標準差,來代表整體平均短路電流時間的特徵值。 Please refer to FIG. 12A - FIG. 12D . FIG. 12A - FIG. 12D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution of the average short-circuit current time sample data. The Q-Q diagram and the oblique line in the P-P diagram represent the ideal line, and the ideal line represents the line that appears when the sample data of the average short-circuit current time satisfies the normal distribution under ideal conditions. The blue circle, red circle and green circle in the figure respectively represent the actual data of the average short-circuit current time sample data according to the normal distribution, the Weibull distribution and the gamma distribution method. It can be seen from Fig. 12A to Fig. 12D that the distribution of the sample data of the average short-circuit current time differs greatly from the ideal distribution, which means that the average and standard deviation of the sample data of these average short-circuit current times cannot be used to represent the overall average short-circuit. Characteristic value of current time.

請參照圖13A-圖13D,圖13A-圖13D分別為針對平均短路電流樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,平均短路 電流之樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表平均短路電流之樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖13A-圖13D可看出,平均短路電流之樣本資料的分布與理想分布差異較大,這代表並無法使用這些平均短路電流樣本資料的平均數及標準差,來代表整體平均短路電流的特徵值。 Please refer to FIG. 13A - FIG. 13D. FIG. 13A - FIG. 13D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution of the average short-circuit current sample data. The Q-Q diagram and the diagonal line in the P-P diagram represent the ideal line, and the ideal line represents the ideal case, the average short circuit The sample data of the current satisfies the line presented in the normal distribution. The blue circle, the red circle and the green circle in the figure respectively represent the actual data of the sample data of the average short-circuit current according to the normal distribution, the Weibull distribution and the distribution generated by the gamma distribution method. It can be seen from Fig. 13A to Fig. 13D that the distribution of the sample data of the average short-circuit current differs greatly from the ideal distribution, which means that the average and standard deviation of the sample data of these average short-circuit currents cannot be used to represent the overall average short-circuit current. Eigenvalues.

請參照圖14A-圖14D,圖14A-圖14D分別為針對平均延遲時間樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,平均延遲時間之樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表平均延遲時間之樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖14A-圖14D可看出,平均延遲時間之樣本資料的分布是落在理想線附近,這表示這些平均延遲時間之樣本資料接近常態分布。因此,可使用這些平均延遲時間之樣本資料的平均數及標準差可代表整體平均延遲時間的特徵值。 Please refer to FIG. 14A - FIG. 14D. FIG. 14A - FIG. 14D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution of the average delay time sample data. The Q-Q diagram and the oblique line in the P-P diagram represent the ideal line, and the ideal line represents the line that appears when the sample data of the average delay time satisfies the normal distribution under ideal conditions. The blue circle, the red circle and the green circle in the figure respectively represent the actual data of the sample data of the average delay time according to the normal distribution, the Weibull distribution and the distribution generated by the gamma distribution method. As can be seen from Figs. 14A - 14D, the distribution of the sample data of the average delay time falls near the ideal line, which means that the sample data of these average delay times is close to the normal distribution. Therefore, the average and standard deviation of the sample data that can be used for these average delay times can represent the eigenvalues of the overall average delay time.

請參照圖15A-圖15D,圖15A-圖15D分別為針對平均放電峰值電流樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,平均放電峰值電流之樣本數據滿足常態分布時所呈現之線條。而 圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表平均放電峰值電流之樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖15A-圖15D可看出,P-P圖中之平均放電峰值電流之樣本資料的weibull分布是落在理想線附近。因此,可使用這些平均放電峰值電流之樣本資料的平均數及標準差可代表整體平均放電峰值電流的特徵值。 Please refer to FIG. 15A - FIG. 15D . FIG. 15A - FIG. 15D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution of the average discharge peak current sample data. The oblique lines in the Q-Q diagram and the P-P diagram represent ideal lines, and the ideal line represents a line which is presented when the sample data of the average discharge peak current satisfies the normal distribution under ideal conditions. and The blue circle, the red circle and the green circle in the figure represent the distribution of the actual data of the sample data of the average discharge peak current according to the normal distribution, the Weibull distribution and the gamma distribution method, respectively. As can be seen from Figs. 15A to 15D, the Weibull distribution of the sample data of the average discharge peak current in the P-P diagram falls near the ideal line. Therefore, the average and standard deviation of the sample data that can be used for these average discharge peak currents can represent the eigenvalues of the overall average discharge peak current.

請參照圖16A-圖16D,圖16A-圖16D分別為針對平均放電持續時間樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,平均放電持續時間之樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表平均放電持續時間之樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖16A-圖16D可看出,P-P圖中所示之平均放電持續時間之樣本資料的normal分布是落在理想線附近,這表示這些平均放電持續時間之樣本資料接近常態分布。因此,可使用這些平均放電持續時間之樣本資料的平均數及標準差可代表整體平均放電持續時間的特徵值。 Please refer to FIG. 16A - FIG. 16D . FIG. 16A - FIG. 16D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution of the average discharge duration sample data. The Q-Q diagram and the oblique line in the P-P diagram represent the ideal line, and the ideal line represents the line that appears when the sample data of the average discharge duration satisfies the normal distribution under ideal conditions. The blue circle, the red circle and the green circle in the figure respectively represent the actual data of the sample data of the average discharge duration according to the normal distribution, the Weibull distribution and the distribution generated by the gamma distribution method. As can be seen from Figs. 16A - 16D, the normal distribution of the sample data of the average discharge duration shown in the P-P diagram falls near the ideal line, which means that the sample data of these average discharge durations are close to the normal distribution. Therefore, the average and standard deviation of the sample data that can be used for these average discharge durations can represent the eigenvalues of the overall average discharge duration.

請參照圖17A-圖17D,圖17A-圖17D分別為針對平均放電能量樣本資料作機率分布配適所得到之直方圖、經驗分布圖、Q-Q圖以及P-P圖。其中Q-Q圖以及P-P圖中的斜線代表理想線,且此理想線是表示理想情況下,平均放電 能量之樣本數據滿足常態分布時所呈現之線條。而圖中的藍色圓圈、紅色圓圈以及綠色圓圈則分別代表平均放電能量之樣本資料的實際數據分別依據normal分布、weibull分布以及gamma分布法所產生的分布。由圖17A-圖17D可看出,平均放電能量之樣本資料的分布是落在理想線附近,這表示這些平均放電能量之樣本資料接近常態分布。因此,可使用這些平均放電能量之樣本資料的平均數及標準差可代表整體平均放電能量的特徵值。 Please refer to FIG. 17A - FIG. 17D. FIG. 17A - FIG. 17D are respectively a histogram, an empirical distribution diagram, a Q-Q diagram and a P-P diagram obtained by fitting the probability distribution data of the average discharge energy sample data. The Q-Q diagram and the diagonal line in the P-P diagram represent the ideal line, and the ideal line represents the ideal discharge under ideal conditions. The sample data of energy satisfies the lines presented in the normal distribution. The blue circle, the red circle and the green circle in the figure respectively represent the actual data of the sample data of the average discharge energy according to the normal distribution, the Weibull distribution and the distribution generated by the gamma distribution method. As can be seen from Figures 17A-17D, the distribution of the sample data of the average discharge energy falls near the ideal line, which means that the sample data of these average discharge energies are close to the normal distribution. Therefore, the average and standard deviation of the sample data that can be used for these average discharge energies can represent the eigenvalues of the overall average discharge energy.

在獲得每一個加工特徵代表後,接著進行步驟450,以獲取被量測機台所量測出工件樣本之複數組量測值,其中每一組量測值分別為放電加工機根據製程資料處理工件樣本的量測值。本實施例係以挖孔加工為例,透過電極對工件樣本進行鑽孔的方式在工件樣本形成孔洞,且每一孔洞具有位於工件樣本上表面之上開口以及位於工件樣本下表面之下開口。本實施例之量測項目分別為孔洞底面之粗糙度、上開口之真圓度、上開口之直徑、下開口之真圓度以及下開口之直徑,且每個量測項目分別具有對應之量測值。 After obtaining each processing feature representative, step 450 is performed to obtain a complex array measurement value of the workpiece sample measured by the measuring machine, wherein each set of measurement values respectively processes the workpiece according to the process data of the electrical discharge machining machine. The measured value of the sample. In this embodiment, the boring processing is taken as an example. Holes are formed in the workpiece sample by drilling the workpiece sample through the electrode, and each hole has an opening above the upper surface of the workpiece sample and an opening below the lower surface of the workpiece sample. The measurement items of the embodiment are respectively the roughness of the bottom surface of the hole, the roundness of the upper opening, the diameter of the upper opening, the true roundness of the lower opening, and the diameter of the lower opening, and each measurement item has a corresponding amount respectively. Measured value.

在獲取量測值後,接著進行步驟460,以進行相關性分析步驟,以獲得加工特徵與量測值間之複數個相關係數。在一實施例中,可採用MATLAB工具並利用以下關係式(2)來觀察加工特徵與量測值之間的關係: 其中,i係用以指出第i個工件樣本,X代表加工特徵,Y代 表不同量測項目的量測值。 After obtaining the measured value, step 460 is followed to perform a correlation analysis step to obtain a plurality of correlation coefficients between the processed feature and the measured value. In one embodiment, the relationship between the processed features and the measured values can be observed using the MATLAB tool and using the following relation (2): Where i is used to indicate the i- th workpiece sample, X is the machining feature, and Y is the measurement value of the different measurement items.

在找出加工特徵與量測值間之相關係數後,接著進行步驟470,以利用相關係數彙整出與不同量測項目之量測值相關的預設特徵。在一實施例中,當量測值為工件樣本之孔洞底面的粗糙度的量測值時,相關係數大於0.2或小於-0.2的加工特徵如下表一。藉此,可從表一中選出相關係數較高的前5個加工特徵作為與粗糙度度有關之預設特徵,例如平均短路電流平均值、平均短路電流標準差、平均延遲時間平均值、平均延遲時間標準差以及平均放電能量標準差。 After finding the correlation coefficient between the processing feature and the measured value, step 470 is performed to extract the preset features related to the measured values of the different measurement items by using the correlation coefficient. In one embodiment, when the equivalent measurement is a measure of the roughness of the bottom surface of the hole of the workpiece sample, the processing characteristics having a correlation coefficient greater than 0.2 or less than -0.2 are as shown in Table 1 below. Therefore, the first five processing features with higher correlation coefficients can be selected from Table 1 as preset features related to roughness, such as average short-circuit current average, average short-circuit current standard deviation, average delay time average, average Delay time standard deviation and average discharge energy standard deviation.

在另一實施例中,當量測值為工件樣本之下開口之真圓度的量測值時,相關係數大於0.2或小於-0.2的加工特徵如下表二。藉此,可從表二中選出相關係數較高的前5個加工特徵作為與下開口之真圓度有關之預設特徵,例如火花頻率平均值、火花頻率標準差、短路比平均值、短路比標準差以及平均放電時間平均值。 In another embodiment, when the equivalent measurement is a measure of the true roundness of the opening below the workpiece sample, the processing characteristics having a correlation coefficient greater than 0.2 or less than -0.2 are as shown in Table 2 below. Therefore, the first five processing features with higher correlation coefficients can be selected from Table 2 as preset features related to the true roundness of the lower opening, such as the average value of the spark frequency, the standard deviation of the spark frequency, the average of the short circuit ratio, and the short circuit. The difference from the standard and the average of the average discharge time.

在另一實施例中,當量測值為工件樣本之下開口之直徑的量測值時,相關係數大於0.2或小於-0.2的加工特徵如下表三。藉此,可從表三中選出相關係數較高的前5個加工特徵作為與下開口之直徑有關之預設特徵,例如火花頻率標準差、平均短路電流時間標準差、平均短路電流標準差、平均延遲時間標準差及平均放電時間平均值。 In another embodiment, when the equivalent measurement is a measure of the diameter of the opening below the workpiece sample, the processing characteristics having a correlation coefficient greater than 0.2 or less than -0.2 are as shown in Table 3 below. Therefore, the first five processing features with higher correlation coefficients can be selected from Table 3 as preset features related to the diameter of the lower opening, such as spark frequency standard deviation, average short circuit current time standard deviation, average short circuit current standard deviation, Average delay time standard deviation and average discharge time average.

欲陳明者,前述之選擇預設特徵是以相關係數大於0.2或小於-0.2的加工特徵來篩選並非用以限制本發明。在其他製程條件下,可根據不同的實驗需求來決定不同之相關係數之門檻值來選擇預設特徵。 For the sake of clarity, the aforementioned selection of predetermined features is to screen with processing features having a correlation coefficient greater than 0.2 or less than -0.2 and is not intended to limit the invention. Under other process conditions, the thresholds of different correlation coefficients can be determined according to different experimental requirements to select preset features.

在獲得與量測值相關之預設特徵後,可使用每一個量測值與對應每一個量測值之預設特徵,來匯入虛擬量測系統的資料庫中,以針對每一個量測值建立預測模型,進而提供虛擬量測系統預測加工精度。本實施方式目前使用的預測系統可為如中華民國專利號I349867所揭示之一全自 動虛擬量測(Automatic Virtual Metrology,AVM)系統來作為加工精度之預測系統,但此並非用以限制本發明。 After obtaining the preset features related to the measured values, each of the measured values and the preset features corresponding to each of the measured values may be used to be imported into the database of the virtual measuring system for each measurement. The value establishes a predictive model, which in turn provides a virtual measurement system to predict the machining accuracy. The prediction system currently used in the present embodiment may be one of the full disclosures as disclosed in the Republic of China Patent No. I349867. The Automatic Virtual Metrology (AVM) system is used as a prediction system for processing accuracy, but this is not intended to limit the present invention.

請參照圖18,其係繪示依照本發明之一實施方式之一種放電加工機之加工精度的預測方法的流程示意圖。本發明之放電加工機之加工精度的預測方法500包含以下步驟。首先進行步驟510,以利用如圖2所示之特徵萃取方法來獲得對應每一個量測值之預設加工特徵。接著,進行步驟520,以使用每一個量測值與對應每一量測值之預設加工特徵,來建立針對每一個量測值之預測模型。接著,進行步驟530,以依據製程資料操作放電加工機來處理工件,並蒐集在放電加工機的操作期間與製程資料相關聯之工件的一組偵測資料。然後,進行步驟540,以轉換工件之偵測資料為特徵資料。接著進行步驟550,以輸入工件之特徵資料至預測模型中,而推估出針對量測值之工件的預測精度值。 Please refer to FIG. 18 , which is a flow chart showing a method for predicting the processing accuracy of an electric discharge machine according to an embodiment of the present invention. The method 500 for predicting the processing accuracy of the electric discharge machine of the present invention comprises the following steps. First, step 510 is performed to obtain a preset processing feature corresponding to each measurement value by using the feature extraction method as shown in FIG. 2. Next, step 520 is performed to establish a prediction model for each measurement value using each measurement value and a preset processing feature corresponding to each measurement value. Next, step 530 is performed to operate the electrical discharge machine in accordance with the process data to process the workpiece and collect a set of detected data of the workpiece associated with the process data during operation of the electrical discharge machine. Then, step 540 is performed to convert the detected data of the workpiece into feature data. Next, step 550 is performed to input the feature data of the workpiece into the prediction model, and the prediction accuracy value of the workpiece for the measured value is estimated.

請參照圖19,其是利用虛擬量測系統針對孔洞底面之粗糙度的量測值與其預設特徵來建模所產生之測試結果。其中,本實施例係以類神經網路(Neural Network,NN)與部分最小平方法(Partial Least Square,PLS)作為精度預測模型,來預測孔洞底面之粗糙度。預測結果如下表四所示,從表四可觀察到NN與PLS的平均絕對誤差(Mean Absolutely Error,MAE)均為0.010,NN與PLS的95% Max Error分別為0.017與0.016um,小於實際量測(Real Y)兩倍標準差0.015um,代表以所萃取的預設特徵可使用此兩種模型預測孔洞底面之粗糙度。 Please refer to FIG. 19, which is a test result generated by using a virtual measurement system to model the measured value of the roughness of the bottom surface of the hole and its preset features. Among them, the present embodiment uses a neural network (NN) and a partial least square method (Partial Least Square, PLS) as an accuracy prediction model to predict the roughness of the bottom surface of the hole. The prediction results are shown in Table 4 below. From Table 4, it can be observed that the Mean Absolutely Error (MAE) of NN and PLS is 0.010, and the 95% Max Error of NN and PLS is 0.017 and 0.016um, respectively, which is less than the actual amount. The measurement (Real Y) is twice the standard deviation of 0.015 um, which means that the two models can be used to predict the roughness of the bottom surface of the hole with the extracted preset features.

請參照下表五以及圖20,其中圖20是利用虛擬量測系統針對孔洞下開口之真圓度的量測值與其預設特徵來建模所產生之測試結果。如表五及圖20所示,當利用虛擬量測系統針對孔洞的下開口之真圓度的量測值與其預設特徵來建模與測試時,NN與PLS的MAE分別為0.005與0.004um,NN與PLS的95% Max Error分別為0.006與0.011um,小於實際量測(Real Y)兩倍標準差0.01,代表所萃取的預設特徵可用模型預測孔洞的下開口之真圓度。 Please refer to Table 5 below and FIG. 20, wherein FIG. 20 is a test result generated by using a virtual measurement system to model the measured value of the true roundness of the opening under the hole and its preset characteristics. As shown in Table 5 and Figure 20, when the virtual measurement system is used to model and test the measured value of the true roundness of the lower opening of the hole and its preset characteristics, the MAE of NN and PLS are 0.005 and 0.004 um, respectively. The 95% Max Error of NN and PLS is 0.006 and 0.011 um, respectively, which is less than the standard deviation of Real Y by 0.01, which means that the extracted preset features can be used to predict the true roundness of the lower opening of the hole.

請參照下表六以及圖21,其中圖21是利用虛擬量測系統針對孔洞下開口之直徑的量測值與其預設特徵來建模所產生之測試結果。如表六以及圖21所示,當利用虛擬量測系統針對孔洞的下開口之直徑的量測值與其預設特徵來建模與測試時,NN與PLS的MAE分別為0.007與0.008um,NN與PLS的95% Max Error分別為0.012與0.012um,小於實際量測(Real Y)兩倍標準差0.017,代表所萃取的預設特徵可用模型預測孔洞的下開口之直徑。 Please refer to Table 6 below and FIG. 21, wherein FIG. 21 is a test result generated by using a virtual measurement system to model the measured value of the diameter of the opening under the hole and its preset characteristics. As shown in Table 6 and Figure 21, when using the virtual measurement system to model and test the diameter of the lower opening of the hole and its preset characteristics, the MAE of NN and PLS is 0.007 and 0.008 um, respectively. The 95% Max Error with PLS is 0.012 and 0.012 um, respectively, which is less than the actual measurement (Real Y) twice the standard deviation of 0.017, which means that the extracted preset features can be used to predict the diameter of the lower opening of the hole.

表六、孔洞的下開口之直徑之預測精度表 Table 6. Prediction accuracy of the diameter of the lower opening of the hole

由本發明實施方式可知,本發明藉由蒐集放電加工機的製程參數(如放電電壓訊號以及放電電流訊號),並依據製程參數建立加工特徵,在從加工特徵中彙整出影響加工精度的預設特徵,進而提供預測系統有效預測加工精度,進而提升加工品質。 According to the embodiment of the present invention, the present invention collects process parameters (such as discharge voltage signals and discharge current signals) of the electric discharge machine, and establishes machining features according to the process parameters, and extracts preset features that affect machining precision from the machining features. In turn, the prediction system is provided to effectively predict the machining accuracy, thereby improving the processing quality.

另一方面,本發明透過配適分析的方式可從大量樣本資料中擷取適當的資料來代表所對應的加工特徵。而且,透過配適分析的方式,可進一步驗證樣本資料利用其平均數與標準差來代表所對應之加工特徵的可靠性。 On the other hand, the present invention can extract appropriate data from a large amount of sample data to represent the corresponding processing features by means of adaptive analysis. Moreover, by fitting the analysis, it is possible to further verify that the sample data uses its mean and standard deviation to represent the reliability of the corresponding processing features.

雖然本發明已以實施例揭露如上,然其並非用以限定本發明,任何所屬技術領域中具有通常知識者,在不脫離本發明的精神和範圍內,當可作些許的更動與潤飾,故本發明的保護範圍當視後附的申請專利範圍所界定者為準。 Although the present invention has been disclosed in the above embodiments, it is not intended to limit the present invention, and any one of ordinary skill in the art can make some changes and refinements without departing from the spirit and scope of the present invention. The scope of the invention is defined by the scope of the appended claims.

Claims (9)

一種用於放電加工機之精度預測的特徵萃取方法:獲取一放電加工機分別處理複數個工件樣本時之複數組製程資料,其中每一該些組製程資料包含一放電電壓訊號以及一放電電流訊號;利用該些組製程資料建立複數個加工特徵;獲取被一量測機台所量測出該些工件樣本之複數個量測值,其中每一該些量測值分別為該放電加工機根據該些製程資料所處理該些工件樣本的量測值;根據一相關係數公式來進行一相關性分析步驟,以獲得該些加工特徵與該量測值間之複數個相關係數;以及利用該些相關係數來從該些加工特徵中選出至少一預設加工特徵,其中利用該些相關係數來從該些加工特徵中選出至少一預設加工特徵的步驟包含選取該些相關係數中具有較大之相關係數的加工特徵為代表,以做為預設加工特徵。 A feature extraction method for accuracy prediction of an electric discharge machine: obtaining a complex array process data when an electric discharge machine separately processes a plurality of workpiece samples, wherein each of the group process data includes a discharge voltage signal and a discharge current signal And using the set of process data to establish a plurality of processing features; obtaining a plurality of measured values of the workpiece samples measured by a measuring machine, wherein each of the measured values is respectively determined by the electrical discharge machine Processing data of the workpiece samples processed by the process data; performing a correlation analysis step according to a correlation coefficient formula to obtain a plurality of correlation coefficients between the processing features and the measurement values; and utilizing the correlations And a coefficient to select at least one predetermined processing feature from the plurality of processing features, wherein the step of selecting the at least one predetermined processing feature from the processing features by using the correlation coefficients comprises selecting a greater correlation among the correlation coefficients The processing characteristics of the coefficients are represented as a preset processing feature. 一種用於放電加工機之精度預測的特徵萃取方法,包含:獲取一放電加工機分別處理複數個工件樣本時之複數組製程資料,其中每一該些組製程資料包含一放電電壓訊號以及一放電電流訊號;利用該些組製程資料建立複數個加工特徵; 蒐集在該放電加工機的操作期間與該些加工特徵相關聯之複數組樣本資料;利用一機率分布法對與每一個加工特徵關聯的該些樣本資料進行配適分析,以判斷每一個加工特徵的該些樣本資料的一平均數及一標準差是否可代表該加工特徵,進而獲得一判斷結果,其中若該判斷結果為是,則進行以下步驟:獲取被一量測機台所量測出該些工件樣本之複數個量測值,其中每一該些量測值分別為該放電加工機根據該些製程資料所處理該些工件樣本的量測值;根據一相關係數公式來進行一相關性分析步驟,以獲得該些加工特徵與該量測值間之複數個相關係數;以及利用該些相關係數來從該些加工特徵中選出至少一預設加工特徵,其中利用該些相關係數來從該些加工特徵中選出至少一預設加工特徵的步驟包含選取該些相關係數中具有較大之相關係數的加工特徵為代表,以做為預設加工特徵。 A feature extraction method for accuracy prediction of an electric discharge machine includes: obtaining a complex array process data when an electric discharge machine separately processes a plurality of workpiece samples, wherein each of the group process data includes a discharge voltage signal and a discharge a current signal; using the set of process data to create a plurality of processing features; Collecting complex array sample data associated with the processing features during operation of the electric discharge machine; performing fitting analysis on the sample data associated with each processing feature by using a probability distribution method to determine each processing feature Whether an average number and a standard deviation of the sample data can represent the processing feature, thereby obtaining a determination result, wherein if the determination result is yes, performing the following steps: obtaining the quantity measured by a measuring machine a plurality of measured values of the workpiece samples, wherein each of the measured values is a measured value of the workpiece samples processed by the electrical discharge machine according to the process data; and a correlation is performed according to a correlation coefficient formula An analysis step of obtaining a plurality of correlation coefficients between the processing features and the measured values; and using the correlation coefficients to select at least one predetermined processing feature from the processing features, wherein the correlation coefficients are utilized The step of selecting at least one of the predetermined processing features includes selecting processing features having a larger correlation coefficient among the correlation coefficients Representatives to serve as pre-processing features. 如申請專利範圍第2項所述之用於放電加工機之精度預測的特徵萃取方法,其中該機率分布法包含常態分布法、Weibull分布法與Gamma分布法。 The feature extraction method for accuracy prediction of an electric discharge machine as described in claim 2, wherein the probability distribution method comprises a normal distribution method, a Weibull distribution method, and a Gamma distribution method. 如申請專利範圍第2項所述之用於放電加工機之精度預測的特徵萃取方法,其中該配適分析分析步 驟是比對每一個加工特徵的該些樣本資料是否符合常態分布,若比對結果為是,則每一個加工特徵的該些樣本資料的平均數及標準差可代表所對應之該加工特徵。 A feature extraction method for accuracy prediction of an electric discharge machine as described in claim 2, wherein the fitting analysis step The method is to compare whether the sample data of each processing feature conforms to a normal distribution. If the comparison result is yes, the average number and standard deviation of the sample data of each processing feature may represent the corresponding processing feature. 如申請專利範圍第2項所述之用於放電加工機之精度預測的特徵萃取方法,其中該配適分析分析步驟是利用P-P圖(probability-probability plot)及Q-Q圖(Quantile-Quantile Plot)比對該機率分布法所產生的分布是否符合一理想分布曲線,若比對結果為是,則每一個加工特徵的該些樣本資料的平均數及標準差可代表所對應之該加工特徵。 A feature extraction method for accuracy prediction of an electric discharge machine according to claim 2, wherein the fitting analysis step is a ratio of a probability-probability plot and a quantification-quantity plot. Whether the distribution generated by the probability distribution method conforms to an ideal distribution curve, and if the comparison result is yes, the average number and standard deviation of the sample data of each processing feature may represent the corresponding processing feature. 如申請專利範圍第1或2項所述之用於放電加工機之精度預測的特徵萃取方法,其中該些加工特徵包含一火花頻率、一開路比、一短路比、一平均短路時間、一短路時間標準差、一平均短路電流、一短路電流標準差、一平均延遲時間、一延遲時間標準差、一平均放電峰值電流、一峰值電流標準差、一平均放電時間、一放電時間標準差、一平均放電能量以及一放電能量標準差。 The feature extraction method for accuracy prediction of an electric discharge machine according to claim 1 or 2, wherein the processing features include a spark frequency, an open circuit ratio, a short circuit ratio, an average short circuit time, and a short circuit. Time standard deviation, an average short circuit current, a short circuit current standard deviation, an average delay time, a delay time standard deviation, an average discharge peak current, a peak current standard deviation, an average discharge time, a discharge time standard deviation, one Average discharge energy and a standard deviation of discharge energy. 如申請專利範圍第1或2項所述之用於放電加工機之精度預測的特徵萃取方法,其中該些量測值包含該些工件樣本之粗糙度量測值。 The feature extraction method for accuracy prediction of an electric discharge machine according to claim 1 or 2, wherein the measurement values include roughness measurement values of the workpiece samples. 如申請專利範圍第1或2項所述之用於放電加工機之精度預測的特徵萃取方法,其中該放電加工機係分別對每一該些工件樣本進行鑽孔步驟,且在每一該些工件樣本上形成一孔洞,其中每一該些孔洞具有位於每一該些工件樣本之上表面之一上開口以及位於每一該些工件樣本之下表面之一下開口;其中該些量測值包含該上開口之一直徑的量測值、該上開口之一真圓度的量測值、該下開口之一直徑的量測值、或該下開口之一真圓度的量測值。 A feature extraction method for accuracy prediction of an electric discharge machine according to claim 1 or 2, wherein the electric discharge machine performs a drilling step for each of the workpiece samples, respectively, and each of the Forming a hole in the workpiece sample, wherein each of the holes has an opening on one of the upper surfaces of each of the workpiece samples and an opening under one of the lower surfaces of each of the workpiece samples; wherein the measured values include a measured value of a diameter of one of the upper openings, a measured value of one roundness of the upper opening, a measured value of a diameter of one of the lower openings, or a measured value of one roundness of the lower opening. 一種放電加工機之加工精度的預測方法,包含:利用申請專利範圍第1或2項所述之特徵萃取方法獲得對應每一該些量測值之該至少一預設加工特徵;使用每一該些量測值與對應每一該些量測值之該至少一預設加工特徵,來建立針對每一該些量測值之一預測模型;依據該些製程資料操作該放電加工機來處理一工件,並蒐集在該放電加工機的操作期間與該些製程資料相關聯之該工件的一組偵測資料;轉換該工件之該組偵測資料為至少一組特徵資料;以及輸入該工件之該至少一組特徵資料至該預測模型中,而推估出針對該至少一量測值之該工件的至少一預測 精度值。 A method for predicting the processing accuracy of an electric discharge machine, comprising: obtaining, by using the feature extraction method described in claim 1 or 2, the at least one predetermined processing feature corresponding to each of the measured values; And measuring the at least one predetermined processing feature corresponding to each of the measured values to establish a prediction model for each of the measured values; operating the electrical discharge machine according to the processing data to process a a workpiece, and collecting a set of detection data of the workpiece associated with the process materials during operation of the electrical discharge machine; converting the set of detection data of the workpiece to at least one set of feature data; and inputting the workpiece At least one set of feature data into the predictive model, and estimating at least one prediction of the workpiece for the at least one measured value Precision value.
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