TWI408387B - Inverter fault diagnosis method - Google Patents
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本發明是有關於一種檢測變頻器故障的方法,且特別是有關於一種檢測多階層變頻器(Multi-level inverter)故障的方法。The present invention relates to a method of detecting a fault in a frequency converter, and more particularly to a method of detecting a multi-level inverter fault.
近年來工業之迅速發展,係依賴馬達帶動負載運轉,造就工業之自動化(Automation)。而馬達之轉速控制需使用變頻器來達成,其中變頻器之功能係將直流電(DC)轉換為交流電(AC)輸出,因此當輸出的交流電頻率(AC frequency)改變時,將使馬達轉速改變。然而,傳統二階層變頻器(Two-level inverter)會受限於高電壓(High voltage)與高功率(High power)之場所需求,故為了克服這個缺點,有許多專家致力於研究多階層變頻器(Multi-level inverter)之架構與應用。多階層變頻器係由多個功率電晶體(Power semiconductors)以串並聯(Serial and parallel)方式所組合,優點在於其能夠改善電力品質(Power quality),係由於在變頻器輸出線對地電壓波形嵌入了許多類似步階(Step)波形,導致其波形成為一梯形電壓波形,使其更加地接近弦波波形(Sinusoidal waveform),因而能夠減少諧波(Harmonics)成份,並且擁有低損失能量與改善電磁干擾(Electromagnetic Interference,EMI)等優點。一般來說,多階層變頻器(Multi-level inverter)之功率晶體(Power transistors)愈多,其輸出端之電壓變化率(dv/dt)則會降低,並使輸出電壓波形愈趨近正弦波,而能有效地降低功率晶體之耐壓及元件的功率額定,將可延長功率晶體開關之使用壽命,故多階層變頻器電路架構被廣泛地應用在許多地方。然而,多階層變頻器亦有一些缺點,其階層數愈高代表所需之功率晶體數目愈多,因而使電路成本增加並造成電路不易控制,進而導致變頻器運轉時,愈容易出現故障情形。故為了避免因變頻器故障情況出現,造成機器之損壞,因此變頻器之故障檢測係相當值得研究的課題。In recent years, the rapid development of industry relies on motors to drive loads and create automation in the industry. The speed control of the motor is achieved by using a frequency converter, which converts direct current (DC) to alternating current (AC) output, so when the output AC frequency changes, the motor speed will change. However, the traditional two-level inverter is limited by the high voltage and high power requirements, so in order to overcome this shortcoming, many experts are working on multi-level inverters. (Multi-level inverter) architecture and application. The multi-level inverter is composed of a plurality of power semiconductors in a serial and parallel manner. The advantage is that it can improve the power quality due to the voltage line waveform of the inverter output line to ground. Many similar Step waveforms are embedded, causing the waveform to become a trapezoidal voltage waveform, making it closer to the Sinusoidal waveform, thus reducing Harmonics components and having low loss energy and improvement. Electromagnetic interference (EMI) and other advantages. In general, the more power transistors of a multi-level inverter, the lower the voltage change rate (dv/dt) at the output, and the closer the output voltage waveform is to a sine wave. The effective reduction of the withstand voltage of the power crystal and the power rating of the component will extend the service life of the power crystal switch, so the multi-level inverter circuit architecture is widely used in many places. However, multi-level inverters also have some disadvantages. The higher the number of layers, the more the number of power crystals required, which increases the cost of the circuit and makes the circuit difficult to control, which in turn leads to a more prone to failure when the inverter is running. Therefore, in order to avoid damage to the machine caused by the fault of the inverter, the fault detection of the inverter is quite worthy of research.
請參考第1圖,第1圖係為習知之中性點箝位式三階層變頻器的結構示意圖。在各種不同結構之變頻器類型中,以中性點箝位式(Neutral point clamped,NPC)變頻器最為簡單且易控制。三階層變頻器(Three-level inverter)在實務應用上,歷經一段時間的使用後,將會發生元件(Device)老化或受損等問題,而容易發生馬達驅動系統故障現象。然而,要逐一確認是哪一個功率電晶體故障,卻是一件極其複雜又曠日廢時的事情。Please refer to FIG. 1 , which is a schematic structural diagram of a conventional neutral clamp type three-level inverter. Neutral point clamped (NPC) frequency converters are the simplest and most controllable among the various types of inverter types. Three-level inverters are used in practical applications. After a period of use, problems such as aging or damage of components will occur, and motor drive system failures are prone to occur. However, it is an extremely complicated and awkward thing to confirm which power transistor is faulty.
本發明之一技術態樣是在提供一種變頻器故障檢測方法,係應用於檢測主電路之多個功率電晶體,以迅速地辨識出變頻器內哪一個功率電晶體發生故障。One aspect of the present invention provides a method for detecting a fault of a frequency converter, which is applied to detecting a plurality of power transistors of a main circuit to quickly identify which power transistor in the frequency converter is faulty.
依據本發明一實施方式之變頻器故障檢測方法,至少包含下列步驟:模擬上述多個功率電晶體故障時之多個特徵值,以建立一故障物元模型。利用一可拓類神經網路學習流程與上述故障物元模型,建立一權重值矩陣。利用故障物元模型與權重值矩陣建立一判斷系統。以及,輸入一筆待測資料,並利用判斷系統進行一辨識流程,以判斷此筆待測資料所代表之一故障功率電晶體。藉此,本實施方式可事先建立一判斷系統,此判斷系統主要係具有一故障物元模型及可拓類神經網路,以迅速地辨識出變頻器內哪一個功率電晶體故障。A fault detection method for a frequency converter according to an embodiment of the present invention includes at least the following steps: simulating a plurality of characteristic values of the plurality of power transistor faults to establish a fault matter element model. A weight-value matrix is established by using an extension-like neural network learning process and the above-mentioned fault object model. A judgment system is established by using the fault matter metamodel and the weight value matrix. And inputting a piece of data to be tested, and using the judging system to perform an identification process to determine one of the faulty power transistors represented by the data to be tested. Therefore, the present embodiment can establish a judgment system in advance, and the judgment system mainly has a fault matter element model and an extension type neural network to quickly identify which power transistor fault in the inverter.
請參考第2圖,第2圖係為本發明一實施方式之變頻器故障檢測方法的步驟流程圖。本實施方式之變頻器故障檢測方法,至少包含下列步驟:首先,如步驟110所示,模擬上述多個功率電晶體故障之多個特徵值,以建立一故障物元模型。然後,如步驟120所示,利用一可拓類神經網路學習流程與上述故障物元模型,建立一權重值矩陣。接下來,如步驟130所示,利用故障物元模型與權重值矩陣建立一故障判斷系統。最後,如步驟140所示,輸入一筆待測資料,並利用故障判斷系統進行一辨識流程,以判斷此筆待測資料所代表之一故障功率電晶體。藉此,本實施方式可事先建立一故障判斷系統,此判斷系統主要係具有一故障物元模型及可拓類神經網路,以迅速地辨識出變頻器內哪一個功率電晶體故障。其具體運作原理,茲解釋如下:一般來說,變頻器中的功率晶體開關發生故障之類別大略可分成三類:短路故障(Short-circuit fault)、開路故障(Open-circuit fault)及觸發信號故障(Trigger signal fault)等。其中,短路故障乃係開關兩端電壓過大且超過開關之額定電壓,導致功率晶體被擊穿;開路故障係指各功率晶體中無觸發信號使其動作;而觸發信號故障則是指功率晶體的驅動電路無法產生正常的觸發脈波到相對應的開關,將導致開關無法正常工作。因此,本實施方式先以PSIM電力電子模擬電路軟體建立一個中性點箝位式之三階層變頻器的模擬環境,並進行單一時刻且任一開關故障(Switch fault)之研究。藉由模擬分析,可觀察變頻器若處於正常狀態下,其所量測之波形將會呈現三相平衡(Three phase balancing),舉例來說,當變頻器之工作頻率為60Hz時且無任一功率晶體故障,則可得各相電壓(Phase voltage)之輸出波形及其相對之頻譜分別如第3A~3C圖及第4A~4C圖所示。由第3A~3C圖中可觀得其各相電壓波形之大小、形狀相同且彼此間之相位差為120°,此乃為三相平衡之固有特性。因此,一旦變頻器中任一功率晶體發生故障時,將使某些特性有所改變。例如將變頻器架構中之開關S11設定為故障時,可觀得變頻器中之各相輸出電壓波形如第5A~5C圖所示。從第5A圖可觀察出u臂之相電壓V uo 波形有畸變情況產生,而其他二臂(即v臂及w臂)之相電壓V vo 及V wo 波形則與變頻器正常工作時之波形無異。第6A~6C圖則為變頻器中之開關S22發生故障時之各相電壓波形,其中第6B圖相電壓V vo 波形明顯異於變頻器正常工作下之波形。第7A~7C圖為開關S24故障時所量測到的三相相電壓波形(Voltage waveform),由圖中可以觀察到v臂之輸出相電壓V vo 波形明顯失真,而其他臂之相電壓波形則不受影響;而第8A~8C圖則為開關S33故障時之三相電壓波形,從圖中觀察出其三相電壓波形皆會受到影響,尤其以w臂之相電壓波形V wo 最為嚴重。Please refer to FIG. 2, which is a flow chart showing the steps of the inverter fault detecting method according to an embodiment of the present invention. The inverter fault detection method of the present embodiment includes at least the following steps: First, as shown in step 110, a plurality of characteristic values of the plurality of power transistor faults are simulated to establish a fault matter element model. Then, as shown in step 120, a weight-value matrix is established by using an extension-type neural network learning process and the above-described fault object model. Next, as shown in step 130, a fault determination system is established using the faulty matter model and the weight value matrix. Finally, as shown in step 140, a piece of data to be tested is input, and an identification process is performed by the fault judging system to determine one of the faulty power transistors represented by the data to be tested. Therefore, the present embodiment can establish a fault judgment system in advance, and the judgment system mainly has a fault matter element model and an extension type neural network to quickly identify which power transistor fault in the frequency converter. The specific operation principle is explained as follows: Generally speaking, the types of power crystal switch failures in the inverter can be roughly divided into three categories: short-circuit fault, open-circuit fault and trigger signal. Trigger signal fault, etc. Among them, the short circuit fault is that the voltage across the switch is too large and exceeds the rated voltage of the switch, causing the power crystal to be broken down; the open circuit fault means that there is no trigger signal in each power crystal to make it act; and the trigger signal fault refers to the power crystal The drive circuit cannot generate a normal trigger pulse to the corresponding switch, which will cause the switch to not work properly. Therefore, in the present embodiment, a simulation environment of a three-level inverter of a neutral point clamp type is established by using a PSIM power electronic analog circuit software, and a single time and any switching fault (Switch fault) is studied. Through simulation analysis, it can be observed that if the inverter is in a normal state, the measured waveform will exhibit three phase balancing. For example, when the operating frequency of the inverter is 60 Hz and none of them In the case of a power crystal failure, the output waveforms of the phase voltages and their relative spectra are shown in Figures 3A to 3C and 4A to 4C, respectively. It can be seen from the 3A to 3C drawings that the voltage waveforms of the respective phases have the same magnitude and shape and the phase difference between them is 120°, which is an inherent characteristic of the three-phase balance. Therefore, some characteristics will change once any power crystal in the frequency converter fails. For example, when the switch S11 in the inverter architecture is set to a fault, it can be seen that the output voltage waveforms of the phases in the inverter are as shown in FIGS. 5A-5C. It can be observed from Fig. 5A that the phase voltage V uo of the u arm is distorted, and the phase voltages V vo and V wo of the other two arms (ie, the v arm and the w arm) and the waveform of the inverter during normal operation. No different. The 6A-6C diagram is the voltage waveform of each phase when the switch S22 in the inverter fails, and the phase voltage V vo of the 6B phase diagram is obviously different from the waveform of the inverter under normal operation. The 7A-7C diagram shows the three-phase phase voltage waveform (Voltage waveform) measured when the switch S24 is faulty. It can be observed that the output phase voltage V vo waveform of the v arm is obviously distorted, and the phase voltage waveforms of other arms are observed. are not affected; FIG. 8A ~ 8C and the first three-phase voltage waveforms when compared with the fault switch S33, which was observed from the figure are three-phase voltage waveforms will be affected, particularly in the phase voltage waveform V w wo arm of the most serious .
因此,由上分析可得知變頻器一旦發生故障時,可觀察到其輸出相電壓之頻譜會出現異常,舉例來說,當變頻器之工作頻率為60Hz,且開關S33故障,可得各相電壓之頻譜如第9A~9C圖所示,若與第4A~4C圖無故障之頻譜相互比較,從中可尋找出能夠代表功率晶體故障之特徵頻譜。在本發明中,選擇在(m f -1)及(m f +3)處之頻譜作為特徵頻譜,其中m f 定義為頻率調變指數(Frequency modulation index),其數學式可表示為Therefore, it can be seen from the above analysis that once the inverter fails, it can be observed that the spectrum of its output phase voltage will be abnormal. For example, when the operating frequency of the inverter is 60 Hz and the switch S33 is faulty, each phase can be obtained. The frequency spectrum is as shown in Figures 9A to 9C. If the spectrum of the 4A to 4C non-fault is compared with each other, a characteristic spectrum capable of representing a power crystal failure can be found. In the present invention, the spectrum at ( m f -1) and ( m f +3) is selected as the characteristic spectrum, where m f is defined as a frequency modulation index, and the mathematical expression can be expressed as
其中,f tri 為三角載波(Carrier waveform)之頻率;而f sin 為正弦波頻率(即變頻器之工作頻率)。藉由模擬分析後,可得到各功率晶體故障之相關數據資料,並且利用可拓類神經網路演算法建立一變頻器之故障檢測系統,作為辨別三階層變頻器中開關故障位置。Where f tri is the frequency of the carrier waveform; and f sin is the sine wave frequency (ie the operating frequency of the frequency converter). After the simulation analysis, the data related to each power crystal fault can be obtained, and the fault detection system of the inverter is established by using the extension-like neural network algorithm as the fault location of the three-level inverter.
接下來,解釋本實施方式所建立之故障類別物元模型如下:物元乃為可拓理論中對事物進行描述之基本元,以符號“R ”表示之,其乃以所給定之事物的名稱N (Name)、特徵c (Characteristic)及與此特徵相對應之數值ν (Value)所構成,故可將此物元之數學式表示如下:Next, the fault element matter element model established in the present embodiment is explained as follows: the matter element is a basic element for describing a thing in the extension theory, and is represented by the symbol “ R ”, which is the name of the given thing. N (Name), wherein c (characteristic) and the other corresponding to a characteristic value of ν (value) is constituted, it may represent element of this equation was as follows:
R =(N ,c ,ν ) ......(2) R =( N , c , ν ) ......(2)
此外,依上述物元定義,則可將三個基本要素之特徵及與特徵相對應數值之彼此關聯性以數學方式表示為:In addition, according to the definition of the matter element, the relationship between the characteristics of the three basic elements and the values corresponding to the features can be mathematically expressed as:
ν =c (N ) ......(3) ν = c ( N ) ......(3)
因此,可將物元之第2式轉換為成Therefore, the second form of the matter element can be converted into
R =(N ,c ,c (N )) ......(4) R =( N , c , c ( N )) ......(4)
欲更加了解物元之基本要素彼此間的關係,可以如第10圖所示之物元空間作表示,係將事物名稱、特徵及其特徵之量值,分別在空間座標中之x 、y 、z 軸進行表示,並且能顯示其組合變換之特性。此外,在可拓之物元理論中,若物元有多種特徵時,則可將其以m 個特徵c 1 ,c 2 ,...,c m 及以m 個相對應之特徵數值v 1 ,v 2 ,...,v m 分別表示之,故透過數學可表示其相互關係為To understand more about the relationship between the basic elements of matter elements, you can use the matter space as shown in Figure 10 to represent the value of the object, its characteristics and its characteristics in the space coordinates x , y , The z- axis is represented and the characteristics of its combined transformation can be displayed. In addition, in the extension matter-element theory, if the matter element has multiple features, it can be m features c 1 , c 2 ,..., c m and m corresponding feature values v 1 , v 2 ,..., v m are respectively represented, so the relationship between them can be expressed by mathematics.
從第5式中,將R 稱為m 維物元,以R k =(N,c k ,v k )(k=1,2,...,m) 表示為R 之各個子物元。因此可將第5式改寫為R =(N,C,V) ,其中矩陣C =[c 1 ,c 2 ,...,c m ] T ,而矩陣V =[v 1 ,v 2 ,...,v m ] T 。故以多維物元定義形式,將可對現實生活中之任一事物進行描述。舉例來說,交流馬達驅動系統中之變頻器係為一個直/交流轉換器,若以可拓物元形式表示此事物量值,將可寫成如下所示:From the fifth formula, R is referred to as an m -dimensional matter element, and R k = (N, c k , v k ) (k = 1, 2, ..., m) is represented as each of the sub-object elements of R. Therefore, Equation 5 can be rewritten as R = (N, C, V) , where matrix C = [c 1 , c 2 , ..., c m ] T , and matrix V = [v 1 , v 2 ,. ..,v m ] T . Therefore, in the form of multidimensional matter elements, it is possible to describe anything in real life. For example, the inverter in the AC motor drive system is a straight/AC converter. If the value of the event is expressed in the form of a meta-element, it can be written as follows:
接下來,為了計算一筆待測資料與本實施方式之基於各故障特徵值所建立的故障物元模型的各類別關聯度,亦即此一待測資料應被歸類為哪一個功率電晶體故障。本實施方式引用可拓數學來計算其關聯度,其原理茲解釋如下:古典數學對於辨別一事物是否屬於此集合之方法,係採用二位邏輯值作為辨識,並以{1,0}表示之,亦即是某一事物為“1”時,則判斷屬於此集合;反之為“0”時,則判斷不屬於此集合,因而對於模糊地帶將無法明確性歸類。基於此緣由,模糊集合係將某一事物屬於集合之程度,藉由0到1之連續數據作一呈現,愈接近“1”表示屬於此集合之程度愈高。至於可拓理論係將模糊集合(Fuzzy set)數學之程度範圍[0,1],延伸為連續多值(Continuous multi-value)(-∞~+∞)範圍之可拓集合。而對所欲辨識之項目,則透過關聯函數方法於(-∞~+∞)範圍內,找到一個實數作為具有某一項特徵之程度的依據。因此,正值則代表此項目屬於該特徵之正向強弱程度;負值則代表此項目不屬於該特徵之負向強弱程度,其中“0”是同時擁有屬於該特徵或不屬於該特徵之特性。Next, in order to calculate the correlation degree between the data to be tested and the faulty matter metamodel established by each fault characteristic value according to the present embodiment, that is, which power transistor fault should be classified as the data to be tested. . The present embodiment refers to extension mathematics to calculate the degree of relevance, and the principle thereof is explained as follows: classical mathematics uses a two-bit logical value as the identification for distinguishing whether a thing belongs to the set, and is represented by {1, 0}. , that is, when a certain thing is "1", it is judged to belong to this set; when it is "0", it is judged that it does not belong to this set, and thus it is impossible to classify clearly for the fuzzy zone. For this reason, the fuzzy set is a degree to which a certain thing belongs to the set, and is represented by continuous data of 0 to 1, and the closer to "1", the higher the degree of belonging to the set. As for the extension theory, the degree range of the fuzzy set mathematics [0, 1] is extended to the extension set of the continuous multi-value (-∞~+∞) range. For the item to be identified, the real function is found in the range of (-∞~+∞) by the correlation function method as the basis for the degree of a certain feature. Therefore, a positive value indicates that the item belongs to the positive strength of the feature; a negative value indicates that the item does not belong to the negative strength of the feature, where “0” is a characteristic that belongs to the feature at the same time or does not belong to the feature. .
在可拓數學中,可拓集合定義方式可以下列數學作表示:假設W 為一論域(Universe of discourse),且有任一元素a ,,則會有一實數In extension mathematics, the extension set definition can be expressed in the following mathematical form: suppose W is a universe of discourse and has any element a . , there will be a real number
與其相對應。若為論域W中的一可拓集合,故可將其數學關係式表示成:Corresponding to it. If To represent a set of extensions in the domain W, the mathematical relationship can be expressed as:
而在第8式中,關聯函數為γ=K(a) ,K(a) 係表示a 關於的關聯度(Correlation degree)。因此,對於K(a) 範圍歸類如下:And in the eighth formula, The correlation function is γ= K(a) , and K(a) represents a about Correlation degree. Therefore, the K(a) range is classified as follows:
第9式為的正域(Positive region);第10式為的負域(Negative region);而第11式則為的臨界。此外,若,則,同時。第11圖為可拓集合之各區域範圍,且從圖中可觀察到,若假設(或a 2 ),則元素a 將被歸類於正域與負域。The 9th formula is Positive region; the tenth formula is Negative region; while the 11th is The criticality. In addition, if ,then ,Simultaneously . Figure 11 is the range of each region of the extension set, and can be observed from the figure, if assumed (or a 2 ), element a will be classified into positive and negative domains.
在可拓集合中,係以關聯函數作為解決矛盾問題之途徑。因此欲建立實軸上之關聯函數,必須先介紹「距」(Distance)與「位置值」(Rank value)二者之概念。In the extension set, the correlation function is used as a way to solve the contradictory problem. Therefore, in order to establish the correlation function on the real axis, we must first introduce the concept of "Distance" and "Rank value".
距係為可拓集合中實域上某一點與區間二者距離,並定義如下:假設a 為實域(-∞~+∞)上任一點,而任一區間A 1 =<va 1 ,va 2 >亦屬於實域,因此點a 與區間A 1 之距可以第12式表示之,而第12A圖與第12B圖則呈現距之意義,第12A圖與第12B圖分別為點a 於區間A 1 內與區間A 1 外關係性。The distance system is the distance between a certain point and the interval on the real domain in the extension set, and is defined as follows: assuming that a is any point on the real domain (-∞~+∞), and any interval A 1 =< va 1 , va 2 > also belongs to the real domain, so the distance between point a and interval A 1 can be represented by the 12th formula, while the 12A and 12B diagrams show the meaning of the distance, and the 12A and 12B diagrams are the point a in the interval A, respectively. 1 is related to the interval A 1 .
此外,在現實問題中除了考慮點與區間之關聯性之外,還必須考量區間與區間、點與二個區間之關係。因此,一個點與二個區間之關係以位置值作表示,並且定義如下:令A 1 =<va 1 ,va 2 >,A 2 =<va 3 ,va 4 >分別係屬實域之二區間,且區間A 1 在區間A 2 內,則點a 與區間A 1 及區間A 2 的位置值可表示為:In addition, in addition to considering the relevance of points and intervals in real problems, it is necessary to consider the relationship between intervals and intervals, points and two intervals. Therefore, the relationship between a point and two intervals is represented by a position value, and is defined as follows: Let A 1 = < va 1 , va 2 >, A 2 = < va 3 , va 4 > belong to the second interval of the real domain, respectively. interval a 1 and a 2 in the section, the section position and the value of a point a 1 and a 2 zone can be expressed as:
其中,第13A圖與第13B圖表示D(a,A 1 ,A 2 ) 的意義。Among them, Fig. 13A and Fig. 13B show the meaning of D(a, A 1 , A 2 ) .
關聯函數之基本公式如下:令A 1 =<va 1 ,va 2 >、A 2 =<va 3 ,va 4 >,,且無公共端點,則點a 與二區間A 1 、A 2 之關聯函數可表示為:The basic formula of the correlation function is as follows: Let A 1 = < va 1 , va 2 >, A 2 = < va 3 , va 4 >, And without a common endpoint, the correlation function between point a and the two intervals A 1 , A 2 can be expressed as:
且具有下列幾點性質:And has the following properties:
(1),且a ≠va 1 ,;(1) And a ≠ va 1 , ;
(2)a =va 1 或;(2) a = va 1 or ;
(3),,且a ≠va 1 ,va 2 ,va 3 ,;(3) , And a ≠ va 1, va 2, va 3, ;
(4)a =va 3 或;(4) a = va 3 or ;
(5),且a ≠va 3 ,。(5) And a ≠ va 3 , .
其中,若關聯函數於a =0.5(va 1 +va 2 ) 能達到最大值,則此函數被稱為初等關聯函數,如第14圖所示。其中,可觀得當K(a) <-1時,表示點a 在區間A 2 (=<va 3 ,va 4 >)外;當K(a) >0表示點a 在區間A 1 (=<va 1 ,va 2 >)內;-1<K(a) <0則表示點a 落在可拓域內,若將點a 作條件式轉換後,將能歸類點a 到區間A 1 內。此外,初等關聯函數乃屬於可拓數學之特殊函數之一。Among them, if the correlation function can reach the maximum value at a = 0.5 (va 1 + va 2 ) , this function is called the elementary correlation function, as shown in Fig. 14. Among them, it is observable that when K(a) <-1, it means that point a is outside the interval A 2 (=< va 3 , va 4 >); when K(a) > 0 means that point a is in the interval A 1 (=< va 1, va within 2>); -1 <K ( a) <0 indicates a point falls within the extension, if the conditions for a conversion point, will be classified as 1 point to a section A. In addition, the elementary correlation function is one of the special functions of extension mathematics.
接下來,本實施方式以可拓類神經演算法,應用在三階層變頻器之故障檢測上,此理論包含了可拓理論之關聯函數值運算、類神經網路之平行運算能力及其具有學習(Learn)、回想(Recall)與歸納(Generalize)等特性,因此極適合對物件進行特徵辨識。第15圖為所提可拓類神經網路架構,其包含了輸入層、演算層與輸出層。此架構之流程係將特徵樣本(Sample)送至輸入層,經過演算層中之權重(Weighting)參數範圍的設定,藉以產生相對應於特徵樣本之映像(Image)。而在此架構之演算層中,權重值為輸入特徵之經典域(Classical region)上限;而則為輸入特徵之經典域下限,且及係分別表示第m 個輸入端點與第g 個輸出端點間權重值之最大與最小值。此外,從第15圖之輸出端可發現到此架構每一特徵樣本輸入,只有一個輸出端點在變動,因此可將此結果作為輸入端特徵樣本之辨識結果。若所得到之辨別結果不如預期,則將對原本權重值進行調整與學習,直到達成所要求之目標值。另外,可拓類神經網路之運算模式,可分為學習模式與演算模式二種。首先,對可拓類神經網路之監督式學習(Supervised learning)演算程序介紹如下:Next, the present embodiment uses an extension-like neural algorithm for fault detection of a three-level frequency converter. This theory includes the correlation function value operation of the extension theory, the parallel computing power of the neural network and its learning. Features such as (Learn), Recall, and Generalize are therefore ideal for characterizing objects. Figure 15 shows the proposed extension-like neural network architecture, which includes an input layer, a calculation layer, and an output layer. The process of this architecture sends a feature sample (Sample) to the input layer, and is set by the weighting parameter range in the calculation layer to generate an image corresponding to the feature sample. In the calculus of this architecture, the weight value Is the upper limit of the classical domain of the input feature; Is the classical domain lower limit of the input feature, and and It is the maximum and minimum values of the weight values between the mth input endpoint and the gth output endpoint, respectively. In addition, from the output of Figure 15, each feature sample input of the architecture can be found, and only one output endpoint is changing, so this result can be used as the identification result of the input feature sample. If the result of the discrimination is not as expected, the original weight value will be adjusted and learned until the required target value is reached. In addition, the computing mode of the extension-like neural network can be divided into two types: learning mode and arithmetic mode. First, the supervised learning calculus program for extension-type neural networks is described as follows:
步驟1:利用可拓物元模型,設定輸入端與輸出端節點之連結(Link)權重值為:Step 1: Using the extension matter metamodel, set the link weights of the input and output nodes as:
在第15式中,c m 表示為類別名稱Ng 之第m 個特徵,而則為一經典域且係第g 個群集之特徵c m ,並且y 為輸出端之歸類群集總數。其中,可拓類神經理論之經典域範圍(本發明將經典域設定為故障特徵之相對應量值的範圍),可以下列數學式求得為:In the formula 15, c m is expressed as the mth feature of the category name Ng , and And was based on a classical field is characterized in clusters g c m, and y is the total number of classified output terminal of the cluster. Among them, the classical domain range of the extensional neural theory (the invention sets the classical domain as the range of the corresponding magnitude of the fault feature) can be obtained by the following mathematical formula:
其中,代表可拓類神經網路之輸入端學習資料。among them, Represents the input learning materials of the extension-like neural network.
步驟2:計算出每項群集之權重中心,以符號W cen , g 表示,故可以數學形式表示如下:Step 2: Calculate the weight center of each cluster, represented by the symbol W cen , g , so it can be expressed mathematically as follows:
W cen,g ={w cen , g 1 ,w cen , g 2 ,...,w cen , gm ,...} ......(18) W cen,g ={ w cen , g 1 , w cen , g 2 ,..., w cen , gm ,...} ......(18)
g =1,2,...,y ;m =1,2,...,q ......(20) g =1,2,..., y ; m =1,2,..., q ......(20)
並將群集(Cluster)資料g 中之第1個特徵權中心,以符號w cen , g 1 表示。And the first feature weight center in the cluster data g is represented by the symbol w cen , g 1 .
步驟3:讀進類別編號為b 之第s 筆學習樣本(Learning sample),其可以表示如下:Step 3: b is read into the category number of learning samples s pen (Learning sample), which may be expressed as follows:
其中,y 為類別種類總數。Where y is the total number of category categories.
步驟4:利用可拓距離(Extension distance,ED)公式,如第22式所示,可計算學習樣本與各群集之距離為:Step 4: Using the Extension Distance (ED) formula, as shown in Equation 22, the distance between the learning sample and each cluster can be calculated as:
第22式中之表示類別編號為b 且特徵為m 之第s 筆學習樣本;而W cen , gm 則為第m 個輸入端點與第g 個輸出端點間之權重值中心。第16圖所示為可拓距離(ED)之示意圖,係用來敘述點p 與區間<w L ,w H >之距離。此外,可從第16圖中得知,當區間<w L , w H >範圍有所改變時,將會因靈敏度特性而造成可拓距離亦同樣地改變。一般來說,當特徵經典域範圍較大時,則表示所需資料較為模糊且造成低靈敏度之可拓距離;相反地,若特徵經典域範圍縮小,將使資料之需求會較為明確且提升靈敏度於可拓距離應用上。步驟5:經過運算後可得學習資料之歸屬新群集為g * ,且可得。若g * =b ,將直接跳到步驟7;反之,則繼續執行步驟6。In the 22nd The s pen learning sample whose category number is b and whose characteristic is m ; and W cen , gm is the center of the weight value between the mth input end point and the gth output end point. Figure 16 shows a schematic diagram of the extension distance (ED), which is used to describe the distance between point p and the interval < w L , w H >. In addition, it can be seen from Fig. 16 that when the range < w L , w H > is changed, the extension distance will be similarly changed due to the sensitivity characteristics. Generally speaking, when the range of the feature classic domain is large, it indicates that the required data is relatively fuzzy and causes a low sensitivity extension distance; conversely, if the feature classic domain range is narrowed, the data demand will be clearer and the sensitivity will be improved. For extension distance applications. Step 5: After the operation, the new cluster of learning materials can be obtained as g * and available. . If g * = b , it will jump directly to step 7; otherwise, proceed to step 6.
步驟6:調整並更新b-th 及g * -th 群集之權重值如下:Step 6: Adjust and update the weight values of the b-th and g * -th clusters as follows:
(1)更新b-th 及g * -th 群集之權中心值。(1) Update the weight center value of the b-th and g * -th clusters.
(2)更新b-th 及g * -th 群集之權重值。(2) Update the weight values of the b-th and g * -th clusters.
第23式至第26式中,各變數之代表意義分別定義如下:η:可拓類神經網路之學習率(Learning rate)。In the 23rd to 26th formulas, the representative meanings of the variables are defined as follows: η: the learning rate of the extension-type neural network.
:特徵m 且類別編號為b 之新權中心值(學習後)。 : The new weight center value of the feature m and the category number b (after learning).
:特徵m 且類別編號為b 之舊權中心值(學習前)。 : The feature weight m and the category number is the old weight center value of b (before learning).
:特徵m 且群集編號為g * 之新權中心值(學習後)。 : The new weight center value of the feature m and the cluster number g * (after learning).
:特徵m 且群集編號為g * 之舊權中心值(學習前)。 : Feature m and cluster number is the old weight center value of g * (before learning).
:係特徵m 且類別編號為b 之權重上限與下限(新值)。 : The weight limit upper limit and lower limit (new value) of the feature m and the category number b .
:為特徵m 且類別編號為b 之權重上限與下限(舊值)。 : is the upper and lower weight (old value) of the weight m and the category number b .
:係特徵m 且群集編號為g * 之權重上限與下限(新值)。 : The upper and lower weights (new values) of the weight of the feature m and the cluster number g * .
:為特徵m 且群集編號為g * 之權重上限與下限(舊值)。 : is the upper and lower weight (old value) of the weight m and the cluster number is g * .
步驟6之權重值調整過程可以第17A圖與第17B圖作一呈現說明。在第17A圖中,係指學習樣本p sm 應該屬於群集B ,卻因可拓距離公式之計算結果為,使得樣本p sm 被歸類成群集A 。然而,若藉由權重值調整後,得到新的可拓距離為,如第17B圖所示,可獲悉此樣本被歸類為群集B 。此外,步驟6之權重值的學習過程中,係僅對一類別之群集b 及g * 進行權重值調整,而對於其他群集之權重值則不受到影響。因此,使可拓類神經網路相較於其它擁有監督式學習法則之人工智慧(Artificial intelligence,AI)而言,擁有較快運算速度且擁有較高適應性,亦即是有新的樣本輸入時,將能迅速找出與之相應輸出值。The weight value adjustment process of step 6 can be illustrated in FIGS. 17A and 17B. In Figure 17A, it means that the learning sample p sm should belong to cluster B , but the calculation result of the extension distance formula is So that the sample p sm is classified as cluster A. However, if the weight value is adjusted, the new extension distance is obtained. As shown in Figure 17B, it can be learned that this sample is classified as Cluster B. In addition, in the learning process of the weight value of step 6, the weight value adjustment is performed only for the clusters b and g * of one category, and the weight values of the other clusters are not affected. Therefore, the extension-type neural network has faster computing speed and higher adaptability than other artificial intelligence (AI) with supervised learning rules, that is, there is a new sample input. When you are able to quickly find the corresponding output value.
步驟7:重複步驟3至步驟6之演算程序,直到全部的樣本均被分類完畢後,則結束一學習批次(Epoch)。Step 7: Repeat the calculation procedure of steps 3 to 6 until all the samples have been classified, and then end a learning batch (Epoch).
步驟8:當所有群集之分類程序都已達到收斂狀態,或者是總誤差率E r 達到目標值,則停止演算程序,若前述之動作未完成,則返回步驟3。Step 8: When all of the cluster classification procedures have reached a converged state, or E r is the total error rate reaches the target value calculation program is stopped, if the operation is not complete it returns to step 3.
當可拓類神經網路完成學習程序後,即可以新資料量進行群集類別之辨識與分類,因而將其辨識程序說明如下:When the extension-type neural network completes the learning process, the cluster type can be identified and classified by the new data volume, so the identification procedure is as follows:
步驟1:將可拓類神經網路之權重值矩陣讀入。Step 1: Read in the weight value matrix of the extension class neural network.
步驟2:計算出不同群集之初始權重中心值。Step 2: Calculate the initial weight center values for the different clusters.
步驟3:讀取待測試樣本Step 3: Read the sample to be tested
P t ={p t 1 ,p t 2 ,...,p tq } ......(27) P t ={ p t 1 ,p t 2 ,...,p tq } (27)
步驟4:利用第22式之可拓距離公式,計算出測試樣本與學習過後之群集的距離值。Step 4: Using the extension distance formula of Equation 22, calculate the distance between the test sample and the cluster after learning.
步驟5:找尋值g * 值使得,此外設定其相對應之輸出節點值為1,藉以判斷測試樣本係屬於何群集類別。Step 5: Find the value g * value so that In addition, the corresponding output node value is set to 1, to determine which cluster category the test sample belongs to.
步驟6:當所有測試樣本均分類完成,則停止運算程序,否則跳至步驟3。Step 6: When all test samples are classified, stop the operation program, otherwise skip to step 3.
由前述變頻器故障之模擬結果來看,可獲知變頻器的故障類別與其故障特徵必定會有所關聯性。因此,藉由可拓物元的形式,能將故障發生時彼此的關聯性寫成:From the simulation results of the above-mentioned inverter faults, it can be known that the fault category of the inverter and its fault characteristics must be related. Therefore, by the form of the extension matter element, the relationship between each other when the failure occurs can be written as:
R =(N ,c ,v )=(F n ,FI n ,v ) ......(28) R =( N , c , v )=( F n , FI n , v ) ......(28)
其中,R 為變頻器之故障物元;N 表示為變頻器故障類別,並以符號F n (n =0,1,...)表示之;c 為故障之特徵,並以符號FI n (n =1,2,...)表示;而v 則為相對應於故障特徵之量值。本發明在變頻器之故障探討上,係以功率晶體無故障與12種開關(S11~S34)故障時分別進行模擬分析,因此將13種故障類別分別以下列符號表示。Where R is the fault element of the frequency converter; N is the fault category of the frequency converter and is represented by the symbol F n ( n =0,1,...); c is the characteristic of the fault and is symbolized FI n ( n = 1, 2, ...); and v is the magnitude corresponding to the fault feature. The invention is based on the failure discussion of the frequency converter, and the simulation analysis is performed separately when the power crystal is faultless and the 12 kinds of switches (S11~S34) are faulted, so the 13 fault categories are respectively represented by the following symbols.
F 0 :功率晶體無故障。 F 7 :功率晶體S23故障。 F 0 : The power crystal is not faulty. F 7 : Power crystal S23 is faulty.
F 1 :功率晶體S11故障。 F 8 :功率晶體S24故障。 F 1 : Power crystal S11 is faulty. F 8 : Power crystal S24 is faulty.
F 2 :功率晶體S12故障。 F 9 :功率晶體S31故障。 F 2 : Power crystal S12 is faulty. F 9 : Power crystal S31 is faulty.
F 3 :功率晶體S13故障。 F 10 :功率晶體S32故障。 F 3 : Power crystal S13 is faulty. F 10 : Power crystal S32 is faulty.
F 4 :功率晶體S14故障。 F 11 :功率晶體S33故障。 F 4 : Power crystal S14 is faulty. F 11 : Power crystal S33 is faulty.
F 5 :功率晶體S21故障。 F 12 :功率晶體S34故障。 F 5 : Power crystal S21 is faulty. F 12 : Power crystal S34 is faulty.
F 6 :功率晶體S22故障。 F 6 : Power crystal S22 is faulty.
而故障特徵則可以分別表示成The fault characteristics can be expressed separately
FI 1 與FI 2 :為u臂相電壓v uo 之特徵頻譜。 FI 1 and FI 2 : a characteristic spectrum of the u-arm phase voltage v uo .
FI 3 與FI 4 :為v臂相電壓v vo 之特徵頻譜。 FI 3 and FI 4 : a characteristic spectrum of the v-arm phase voltage v vo .
FI 5 與FI 6 :為w臂相電壓v wo 之特徵頻譜。 FI 5 and FI 6 : a characteristic spectrum of the w arm phase voltage v wo .
所提之三階層變頻器故障檢測系統,係利用PSIM軟體分別模擬每一單一功率晶體開關之故障,且將變頻器之工作頻率範圍選定為30Hz~90Hz。此外,為了增加特徵頻譜之判斷靈敏度,故再將此兩特徵頻譜分別以第29式與第30式進行處理後,作為變頻器故障類別之特徵。The proposed three-level inverter fault detection system uses the PSIM software to simulate the fault of each single power crystal switch separately, and selects the operating frequency range of the inverter to be 30 Hz to 90 Hz. In addition, in order to increase the sensitivity of the determination of the characteristic spectrum, the two characteristic spectra are processed in the 29th and 30th equations respectively, and are characterized as the fault type of the inverter.
FI 1 =FI 3 =FI 5 =0.5[(m f -1)+(m f +3)] ......(29) FI 1 = FI 3 = FI 5 =0.5[( m f -1)+( m f +3)] (29)
FI 2 =FI 4 =FI 6 =0.5[(m f -1)-(m f +3)] ......(30) FI 2 = FI 4 = FI 6 = 0.5[( m f -1)-( m f +3)] (30)
本實施方式以變頻器工作頻率在30Hz~90Hz範圍中,擷取25個不同頻率及在不同開關故障下之頻譜特徵值,共計325筆資料,作為可拓類神經網路的學習資料,並建立三階層變頻器之故障檢測系統。而為了驗證所提變頻器之故障檢測系統的有效性,則利用模擬所量測之故障資料共計468筆,作為變頻器故障檢測系統之測試資料,其辨識結果如表1所示。由表中可發現,以可拓類神經網路所建立之變頻器故障檢測系統的可行性。In the embodiment, the operating frequency of the frequency converter is in the range of 30 Hz to 90 Hz, and 25 different frequencies and spectral characteristic values under different switching faults are extracted, and a total of 325 data are used as learning materials of the extension type neural network, and established. Three-level inverter fault detection system. In order to verify the effectiveness of the fault detection system of the proposed frequency converter, a total of 468 fault data measured by the simulation are used as the test data of the inverter fault detection system, and the identification results are shown in Table 1. From the table, the feasibility of the inverter fault detection system established by the extension-like neural network can be found.
此外,表2至表4分別為工作頻率在35Hz、55Hz與75Hz下各開關故障時之各相電壓特徵頻譜資料。將表2至表4之測試資料輸入至所建立之變頻器故障檢測系統,可得表5至表7之辨識結果。由表中發現各筆故障資料皆可正確地被辨識出來。例如,從表6中觀得序號2測試資料之ED F 2 =2.81985為最小的可拓距離值,可知其屬於功率晶體開關S11故障,且在同一筆資料中,ED F 9 =18.0045為最大值,表示這一筆測試資料屬於開關S24故障之機率最小。同理,其他筆測試資料之辨識結果皆可以此分析。In addition, Tables 2 to 4 are the spectrum data of each phase voltage when the operating frequency is 35 Hz, 55 Hz and 75 Hz. The test data of Tables 2 to 4 are input to the established inverter fault detection system, and the identification results of Tables 5 to 7 can be obtained. It is found in the table that each fault data can be correctly identified. For example, from Table 6, the ED F 2 =2.81985 of the serial number 2 test data is the minimum extension distance value, which is known to belong to the power crystal switch S11 fault, and in the same data, ED F 9 = 18.045 is the maximum value. , indicating that this test data has the lowest probability of failure of switch S24. In the same way, the identification results of other pen test data can be analyzed.
雖然本發明已以實施方式揭露如上,然其並非用以限定本發明,任何熟習此技藝者,在不脫離本發明之精神和範圍內,當可作各種之更動與潤飾,因此本發明之保護範圍當視後附之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 the present invention can be modified and modified without departing from the spirit and scope of the present invention. The scope is subject to the definition of the scope of the patent application attached.
S11~S34...功率電晶體S11~S34. . . Power transistor
110~140...步驟110~140. . . step
為讓本發明之上述和其他目的、特徵、優點與實施例能更明顯易懂,所附圖式之說明如下:The above and other objects, features, advantages and embodiments of the present invention will become more apparent and understood.
第1圖係習知之中性點箝位式三階層變頻器的結構示意圖。The first figure is a schematic diagram of the structure of a conventional neutral-clamped three-level inverter.
第2圖係本發明一實施方式之變頻器故障檢測方法的步驟流程圖。Fig. 2 is a flow chart showing the steps of a method for detecting a fault of a frequency converter according to an embodiment of the present invention.
第3A~3C圖係正常狀態下,三相相電壓波形示意圖。Figures 3A to 3C are schematic diagrams of three-phase phase voltage waveforms in a normal state.
第4A~4C圖係正常狀態下,三相相電壓頻譜示意圖。The 4A-4C diagram is a schematic diagram of the three-phase phase voltage spectrum under normal conditions.
第5A~5C圖係開關S11故障時,三相相電壓波形示意圖。The 5A to 5C diagram is a schematic diagram of the waveform of the three-phase phase voltage when the switch S11 is faulty.
第6A~6C圖係開關S22故障時,三相相電壓波形示意圖。6A to 6C are schematic diagrams of three-phase phase voltage waveforms when the switch S22 is faulty.
第7A~7C圖係開關S24故障時,三相相電壓波形示意圖。7A to 7C are schematic diagrams of three-phase phase voltage waveforms when the switch S24 fails.
第8A~8C圖係開關S33故障時,三相相電壓波形示意圖。The 8A-8C diagram is a schematic diagram of the three-phase phase voltage waveform when the switch S33 is faulty.
第9A~9C圖係開關S33故障時,三相相電壓頻譜示意圖。The 9A-9C diagram is a schematic diagram of the three-phase phase voltage spectrum when the switch S33 fails.
第10圖係為物元空間示意圖。Figure 10 is a schematic diagram of the matter space.
第11圖係為可拓集合之各區域範圍示意圖。Figure 11 is a schematic diagram of the extent of each region of the extension set.
第12A圖係為可拓集合之一點a 於區間A 1 內之距(Distance)關係示意圖。Figure 12A is a schematic diagram of the distance relationship between one point a of the extension set and the interval A 1 .
第12B圖係為可拓集合之一點a 於區間A 1 外之距(Distance)關係示意圖。Figure 12B is a schematic diagram of the distance relationship between one point a of the extension set and the interval A 1 .
第13A圖係為可拓集合之一點a 與區間A 1 及區間A 2 之位置關係示意圖,其係繪示點a 的右位置值。Figure 13A is a schematic diagram showing the positional relationship between point a and interval A 1 and interval A 2 of the extension set, which is the right position value of point a .
第13B圖係為可拓集合之一點a 與區間A 1 及區間A 2 之位置關係示意圖,其係繪示點a 的左位置值。Figure 13B is a schematic diagram showing the positional relationship between point a and section A 1 and section A 2 of the extension set, which is the left position value of point a .
第14圖係為初等關聯函數示意圖。Figure 14 is a schematic diagram of the elementary correlation function.
第15圖係為可拓類神經網路架構之結構示意圖。Figure 15 is a schematic diagram of the structure of the extension-like neural network architecture.
第16圖係為可拓距離(ED)之示意圖。Figure 16 is a schematic diagram of the extension distance (ED).
第17A圖係為本實施方式之權重調整示意圖,其係繪示權重調整前。FIG. 17A is a schematic diagram of the weight adjustment of the present embodiment, which is before the weight adjustment.
第17B圖係為本實施方式之權重調整示意圖,其係繪示權重調整後。FIG. 17B is a schematic diagram of the weight adjustment of the present embodiment, which is shown after the weight adjustment.
110~140...步驟110~140. . . step
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