TWI433446B - Rotor position estimation method of interior permanent magnet synchronous motor - Google Patents

Rotor position estimation method of interior permanent magnet synchronous motor Download PDF

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TWI433446B
TWI433446B TW100113726A TW100113726A TWI433446B TW I433446 B TWI433446 B TW I433446B TW 100113726 A TW100113726 A TW 100113726A TW 100113726 A TW100113726 A TW 100113726A TW I433446 B TWI433446 B TW I433446B
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phase
difference
stator
switch
current
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TW201244364A (en
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Li Chen Fu
Cheng Kai Lin
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Univ Nat Taiwan
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內藏式永磁同步電動機的轉軸角度估測方法Method for estimating shaft angle of built-in permanent magnet synchronous motor

本發明是有關於一種無轉軸角度偵測元件的估測技術,且特別是有關於一種內藏式永磁同步電動機在三相四開關變頻器架構下的轉軸角度/速度估測方法。The invention relates to an estimation technique for a shaftless angle detecting component, and particularly relates to a shaft angle/speed estimation method for a built-in permanent magnet synchronous motor under a three-phase four-switch inverter architecture.

電動機驅動系統使用的功率範圍很廣,從幾瓦到幾千瓦不等,應用範圍從機器人之高性能位置驅動器到調整幫浦流率之可調速驅動器等。為了將向量控制應用於電動機驅動系統,必須藉由偵測轉軸角度,方能計算a-b-c軸與d-q軸座標間的轉換關係。Motor drive systems use a wide range of powers, ranging from a few watts to several kilowatts, ranging from high-performance position drivers for robots to adjustable speed drives that adjust pump flow rates. In order to apply the vector control to the motor drive system, the conversion relationship between the a-b-c axis and the d-q axis coordinate must be calculated by detecting the angle of the rotary shaft.

一般偵測轉軸角度的作法為利用內藏式永磁同步電動機凸極效應,定子的電感隨著轉軸角度而變化。因此,可於電動機的定子側注入高頻載波電流,據以偵測轉子位置之變化,而此高頻載波電流不會受到轉速的影響。習知技術使用於低轉速運轉、高轉速運轉,甚至於靜止時的啟動。但是,此高頻載波電流除了引起轉矩之顫動外,亦須增加額外的載波電流產生器。Generally, the method of detecting the angle of the rotating shaft is to utilize the salient pole effect of the built-in permanent magnet synchronous motor, and the inductance of the stator changes with the angle of the rotating shaft. Therefore, a high-frequency carrier current can be injected on the stator side of the motor to detect a change in the rotor position, and the high-frequency carrier current is not affected by the rotational speed. Conventional techniques are used for low speed operation, high speed operation, and even start at rest. However, in addition to causing torque chatter, this high frequency carrier current must also add an additional carrier current generator.

關於中華民國專利公告號第483218號為三相交流馬達轉軸位置(角度)之估測方法,其公開了在變頻器的切換狀態下量測定子三相電流變化率,以及計算馬達轉軸角度。根據此篇技術的請求項第3項的內容,變頻器是由六個功率開關及飛輪二極體所組成,藉由開關的切換可得到二個零電壓向量和六個非零電壓向量;並且在其請求項第6項的內容可知,習知估測方法必需使用零電壓向量下的三相電流變化率,才能據以估算轉軸角度。可見,習知技術在偵測馬達的轉軸位置時,需要六個功率開關所組成的變頻器架構,並且需要使用零電壓向量的電流變化率。The Republic of China Patent Publication No. 483218 is an estimation method for the position (angle) of the three-phase AC motor shaft, which discloses measuring the sub-phase current change rate in the switching state of the inverter, and calculating the motor shaft angle. According to the third item of the request of the technology, the frequency converter is composed of six power switches and a flywheel diode, and two zero voltage vectors and six non-zero voltage vectors are obtained by switching the switches; As can be seen from the content of item 6 of the claim, the conventional estimation method must use the three-phase current rate of change under the zero voltage vector to estimate the angle of the shaft. It can be seen that the conventional technology requires a frequency converter structure composed of six power switches when detecting the position of the rotating shaft of the motor, and requires a current rate of change of the zero voltage vector.

請參見圖1。圖1是習知技術,在六開關變頻器的架構下,該變頻器的開關切換策略係採用電流磁滯控制,於電動機在轉速命令50 rpm下的開關切換模式分佈模擬圖。其中切換模式1和切換模式8為零電壓向量,切換模式2到切換模式7為非零電壓向量。See Figure 1. 1 is a conventional technique. Under the architecture of a six-switch inverter, the switching strategy of the inverter adopts current hysteresis control, and the switching pattern distribution simulation diagram of the motor at the rotational speed command 50 rpm. Where Switch Mode 1 and Switch Mode 8 are zero voltage vectors, and Switch Mode 2 to Switch Mode 7 are non-zero voltage vectors.

請參見圖2。圖2是習知技術,在六開關變頻器的架構下,採用零電壓向量切換策略在轉速命令50 rpm下之開關切換模式分佈模擬圖。若不週期性地改變開關切換模式,使變頻器切換出零電壓向量,則習知方法將無法直接應用在只能切換出非零電壓向量的變頻器架構。另外,由圖2可看出,太頻繁地強迫變頻器切換至零電壓向量下,將大幅降低其他非零電壓向量的利用率。See Figure 2. 2 is a prior art diagram of a switching mode distribution simulation diagram of a zero-voltage vector switching strategy at a rotational speed command of 50 rpm under the architecture of a six-switch inverter. If the switching mode is not changed periodically and the frequency converter is switched out of the zero voltage vector, the conventional method cannot be directly applied to the inverter architecture that can only switch out the non-zero voltage vector. In addition, as can be seen from Figure 2, forcing the frequency converter to switch to the zero voltage vector too frequently will greatly reduce the utilization of other non-zero voltage vectors.

習知方法需利用六個功率開關以及零電壓向量下的三相電流變化率。然而,在不改變變頻器原有的開關切換策略下,零電壓向量出現的機率較非零電壓向量甚低,因此計算頗為困難。由此可見,習知技術的主要缺點是,需使用零電壓向量的電流變化率,並且功率開關數量無法降低。The conventional method requires the use of six power switches and a three-phase current rate of change under a zero voltage vector. However, under the original switching strategy of the inverter, the probability of occurrence of the zero voltage vector is very low compared to the non-zero voltage vector, so the calculation is quite difficult. It can be seen that the main disadvantage of the prior art is that the current rate of change of the zero voltage vector is required, and the number of power switches cannot be reduced.

如何解決習知技術而不使用零電壓向量,如何精簡電壓向量數量的方式,以實現一種簡化運算,且可以適用於工業界的估測轉軸角度的應用技術,這是一個有待克服的課題。How to solve the conventional technology without using zero voltage vector, how to reduce the number of voltage vectors, to achieve a simplified operation, and can be applied to the industrial application of the estimated angle of the shaft, this is a problem to be overcome.

本發明提供一種轉軸角度的估測方法,適用於內藏式永磁同步電動機中估測一轉軸角度,所述估測方法包括:在三相四開關變頻器架構且保留原有的開關切換策略下,讀取定子的第一相電流與第二相電流;根據所述第一相電流與所述第二相電流,計算在不同開關切換模式下的三相電流變化率;接著計算三相電流變化率的差值來進行矩陣轉換,據以估測所述轉軸角度。The invention provides a method for estimating a rotating shaft angle, which is suitable for estimating a rotating shaft angle in a built-in permanent magnet synchronous motor, and the estimating method comprises: maintaining a original switching switching strategy in a three-phase four-switching inverter structure And reading a first phase current and a second phase current of the stator; calculating a three-phase current change rate in different switch switching modes according to the first phase current and the second phase current; and then calculating a three-phase current The difference in rate of change is used for matrix conversion to estimate the angle of the shaft.

在本發明的一實施例中,所述內藏式永磁同步電動機的接線為三相Y接線,所述三相四開關變頻器具有四種開關切換狀態,且產生四種不同且非零的電壓向量;以及所述第一相電流與所述第二相電流為所述內藏式永磁同步電動機的定子任二相電流。In an embodiment of the invention, the wiring of the built-in permanent magnet synchronous motor is a three-phase Y wiring, and the three-phase four-switch inverter has four switching states, and generates four different and non-zero a voltage vector; and the first phase current and the second phase current are stator two-phase currents of the built-in permanent magnet synchronous motor.

在本發明的一實施例中,所述三相電流變化率的差值定義為計算兩種非零電壓向量切換模式下的三相電流變化率的差值,且每一種開關切換狀態具有相應的定子電壓方程式。In an embodiment of the invention, the difference between the three-phase current change rates is defined as calculating a difference between the three-phase current change rates in the two non-zero voltage vector switching modes, and each of the switch switching states has a corresponding Stator voltage equation.

在本發明的一實施例中,所述三相電流變化率的差值滿足下列公式關係:In an embodiment of the invention, the difference in the three-phase current change rate satisfies the following formula relationship:

在公式(A)中,Di as | Vij 代表電動機在兩種非零電壓向量下a相定子電流變化率差值;Di bs | Vij 代表電動機在兩種非零電壓向量下b相定子電流變化率差值;Di cs | Vij 代表電動機在兩種非零電壓向量下c相定子電流變化率差值;v asi -v asj 代表電動機在兩種非零電壓向量下a相定子電壓差值;v bsi -v bsj 代表電動機在兩種非零電壓向量下b相定子電壓差值;以及L AA L AB L AC L BA L BB L BC L q 為電動機的自感與互感相關參數。In formula (A), Di as | Vij represents the a-phase stator current change rate difference of the motor under two non-zero voltage vectors; Di bs | Vij represents the b-phase stator current change rate of the motor under two non-zero voltage vectors Di cs | Vij represents the c-phase stator current change rate difference of the motor under two non-zero voltage vectors; v asi - v asj represents the a-phase stator voltage difference of the motor under two non-zero voltage vectors; v bsi - v bsj represents the b-phase stator voltage difference of the motor under two non-zero voltage vectors; and L AA , L AB , L AC , L BA , L BB , L BC , L q are the self-inductance and mutual inductance related parameters of the motor .

在本發明的一實施例中,所述三相四開關變頻器在每次的開關切換輸出一種非零的電壓向量,而所述讀取第一相電流與第二相電流的步驟中至少需要兩次以上的開關切換。In an embodiment of the invention, the three-phase four-switch inverter outputs a non-zero voltage vector at each switching, and at least the step of reading the first phase current and the second phase current is required. Switch more than twice.

在本發明的一實施例中,所述三相電流變化率的差值包括:電動機a相、b相及c相的定子電流變化率差值。In an embodiment of the invention, the difference in the three-phase current change rate includes a stator current change rate difference of the motor a phase, the b phase, and the c phase.

在本發明的一實施例中,所述電動機a相、b相及c相的定子電流變化率差值滿足下列公式關係:In an embodiment of the invention, the stator current change rate difference of the a phase, the b phase, and the c phase of the motor satisfies the following formula relationship:

在公式(B)至(D)中,Di as | Vij Di bs | Vij Di cs | Vij 分別代表電動機在不同電壓向量下的a相、b相及c相的定子電流變化率差值;i as i bs i cs 分別代表該電動機的三相定子電流;下標Vi代表三相四開關變頻器的開關切換模式在電壓向量Vi 下;以及下標Vj代表三相四開關變頻器的開關切換模式在電壓向量Vj 下。In formulas (B) to (D), Di as | Vij , Di bs | Vij and Di cs | Vij represent the stator current change rate difference of the a phase, b phase and c phase of the motor under different voltage vectors, respectively; i as , i bs , i cs represent the three-phase stator current of the motor respectively; the subscript Vi represents the switching mode of the three-phase four-switch inverter under the voltage vector V i ; and the subscript Vj represents the three-phase four-switch inverter The switching mode is under the voltage vector V j .

在本發明的一實施例中,至少需根據三種非零電壓向量以計算出所述三相電流變化率。In an embodiment of the invention, at least three non-zero voltage vectors are required to calculate the three-phase current rate of change.

在本發明的一實施例中,所述利用三相電流變化率的差值來進行轉換的步驟中,由多組三相定子電流變化率的差值合成出一正弦函數與一餘弦函數,接著以所述正弦函數與所述餘弦函數進行反正切函數運算,據以估測所述轉軸角度。In an embodiment of the invention, in the step of converting using the difference of the three-phase current change rate, a sine function and a cosine function are synthesized from the difference between the plurality of sets of three-phase stator current change rates, and then An arctangent function operation is performed with the sine function and the cosine function to estimate the axis angle.

在本發明的一實施例中,所述多組三相定子電流變化率的差值,彼此之間須為線性獨立向量。In an embodiment of the invention, the difference between the plurality of sets of three-phase stator current change rates must be linear independent vectors with each other.

基於上述,本發明應用內藏式永磁同步電動機的三相定子電壓數學模型。在四種開關切換模式下,不需量測零電壓向量下的電流變化率。計算三相定子電壓方程式,而此定子電壓方程式為非線性函數,該函數包含了電動機一倍電氣角度和二倍電氣角度的資訊。在合理的假設條件下,不同的兩種非零電壓向量下的三相定子電壓方程式相減可消去與電動機有關之一倍電氣角度資訊和電阻壓降,並保留二倍電氣角度的資訊,所得的電流變化率差值的資訊,再經由所設計的矩陣運算,可得到在靜止座標軸下的二倍電氣角度相關函數。此二倍電氣角度相關函數與轉軸位置有關,因此可進一步估測出內藏式永磁同步電動機之轉軸角度的資訊。Based on the above, the present invention applies a three-phase stator voltage mathematical model of a built-in permanent magnet synchronous motor. In the four switch switching modes, it is not necessary to measure the current change rate under the zero voltage vector. The three-phase stator voltage equation is calculated, and the stator voltage equation is a nonlinear function that contains information on the electrical angle and the double electrical angle of the motor. Under reasonable assumptions, the phase reduction of the three-phase stator voltage equation under two different non-zero voltage vectors can eliminate one-time electrical angle information and resistance voltage drop associated with the motor, and retain the information of the double electrical angle. The information of the current change rate difference, and then through the designed matrix operation, can obtain the double electrical angle correlation function under the static coordinate axis. This double electrical angle correlation function is related to the position of the rotating shaft, so that the information of the rotating shaft angle of the built-in permanent magnet synchronous motor can be further estimated.

為讓本發明的上述特徵和優點能更明顯易懂,下文特舉實施例,並配合所附圖式作詳細說明如下。The above described features and advantages of the invention will be apparent from the following description.

現將詳細參考本發明之實施例,並在附圖中說明所述實施例之實例。Reference will now be made in detail be made to the embodiments of the invention

在本實施例中將提出一種簡單且易實現於內藏式永磁同步電動機的轉軸角/速度估測方法,並且在不改變原本變頻器開關切換策略、以及不使用零電壓向量下的電流變化率等條件下,而仍然能夠運用變頻器開關切換的特性與電流變化率。In this embodiment, a shaft angle/speed estimation method which is simple and easy to implement in a built-in permanent magnet synchronous motor is proposed, and the current switching change strategy of the inverter and the current variation without using a zero voltage vector are not changed. Under the conditions of the rate, the characteristics of the inverter switching and the rate of current change can still be used.

圖4是本發明實施例的內藏式永磁同步電動機控速系統方塊圖。請參見圖4。內藏式永磁同步電動機的接線為三相Y接線。由於一般電動機可以為平衡的三相電動機1,因此數位訊號處理器4可以經由類比/數位轉換器3取得電流感測器2所偵測電動機1的二個相電流i a i b 。如此,即可計算出另一相之電流i c 。接著,可以經由數位訊號處理器4計算出三相定子電流變化率。轉軸角度估測程序仍依據不同電壓向量下的定子電流變化率差,經由所設計的矩陣運算,可以在不同的電壓向量下之定子電流變化率差值中找出對應的三軸轉二軸之座標轉換矩陣;再經由反正切函數運算,可以進一步估測出轉軸角度。由此估測角度可以再經由差分器6計算出所估測的轉軸速度。接著,轉軸速度與轉軸速度命令經由速度控制的部件7計算交、直軸電流命令,並經由電流控制的部件8而將交、直軸電流命令轉換為三相電流命令,並且傳送至脈寬調變控制的部件9而產生用以控制功率開關T a 0T a 1T b 0T b 1 的觸發信號,據以決定四個功率開關的切換模式。之後,將觸發信號送至變頻器(換流器)10,以完成一閉迴路的驅動系統。4 is a block diagram of a built-in permanent magnet synchronous motor speed control system according to an embodiment of the present invention. See Figure 4. The wiring of the built-in permanent magnet synchronous motor is a three-phase Y wiring. Since the general motor can be a balanced three-phase motor 1, the digital signal processor 4 can obtain the two phase currents i a , i b of the motor 1 detected by the current sensor 2 via the analog/digital converter 3. In this way, the current i c of the other phase can be calculated. Then, the three-phase stator current change rate can be calculated via the digital signal processor 4. The axis estimation program is still based on the stator current change rate difference under different voltage vectors. Through the designed matrix operation, the corresponding three-axis to two-axis can be found in the stator current change rate difference under different voltage vectors. Coordinate transformation matrix; further through the inverse tangent function operation, the rotation angle can be further estimated . The estimated angle can then be calculated via the differentiator 6 to calculate the estimated shaft speed. . Then, the shaft speed Speed command with shaft Calculate AC and DC current commands via speed controlled component 7 And the AC and DC current commands are via the current controlled component 8. Convert to three-phase current command And transmitting to the component 9 of the pulse width modulation control to generate a trigger signal for controlling the power switches T a 0 , T a 1 , T b 0 , T b 1 , thereby determining the switching mode of the four power switches. Thereafter, a trigger signal is sent to the frequency converter (inverter) 10 to complete a closed loop drive system.

本發明實施例之轉子角度/速度的估測方法適用於內藏式永磁同步電動機數位化驅動系統。在既有之數位化驅動系統及三相四開關變頻器架構下,僅須量測電動機之電流訊號,將估測方法以一程式寫入數位訊號處理器中並且執行,即可取代傳統的轉軸角度偵測器。The method for estimating the rotor angle/speed of the embodiment of the present invention is applicable to a built-in permanent magnet synchronous motor digitalized driving system. In the existing digital drive system and three-phase four-switch inverter architecture, only the current signal of the motor needs to be measured, and the estimation method is written into the digital signal processor and executed in one program, which can replace the traditional shaft. Angle detector.

關於轉軸角度的估測方法的詳細說明如下 A detailed description of the estimation method of the angle of the shaft is as follows :

內藏式永磁同步電動機的三相定子等效電壓方程式可表示如下:The three-phase stator equivalent voltage equation of the built-in permanent magnet synchronous motor can be expressed as follows:

其中among them

在公式(1)~(4)中,v as v bs v cs 分別為該電動機的a相、b相、c相定子電壓,i as i bs i cs 分別為該電動機的a相、b相、c相定子電流,r s 為定子電阻,L q 為q軸等效電感,L A 為電動機的電感直流係數,L B 為電動機的電感交流係數,L ls 為漏電感,λ as 、λ bs 、λ cs 分別為a相、b相、c相的延伸型磁通鏈,分別定義如下:In the formulas (1) to (4), v as , v bs , and v cs are the a-phase, b-phase, and c-phase stator voltages of the motor, respectively, i as , i bs , and i cs are the phase a of the motor, respectively. , b phase, c phase stator current, r s is stator resistance, L q is q axis equivalent inductance, L A is the inductance DC coefficient of the motor, L B is the inductance AC coefficient of the motor, L ls is the leakage inductance, λ as λ bs and λ cs are the extended flux flux chains of phase a, phase b, and phase c, respectively, which are defined as follows:

λ as =L AA i a +L AB i b +L AC i c m cosθ re  公式(5);λ as = L AA i a + L AB i b + L AC i c + λ m cos θ re formula (5);

其中among them

式中,λ m 為轉子永久磁鐵等效至定子側磁通鏈,θ re 為電動機的轉軸角度(電氣角度)。而電動機的轉矩和轉速方程式可分別表示如下:Where λ m is the rotor permanent magnet equivalent to the stator side flux linkage, and θ re is the motor shaft angle (electrical angle). The torque and speed equations of the motor can be expressed as follows:

式中,P o 為電動機的極對數,L d 為d軸電感,L q 為q軸電感,i d 是d軸電流,i q 是q軸電流,T e 是電動機的電磁轉矩,J m 是電動機的轉軸慣量,ω rm 是電動機的轉軸機械速度,B m 是電動機的轉軸摩擦係數,T L 是負載轉矩。Where P o is the pole pair of the motor, L d is the d-axis inductance, L q is the q-axis inductance, i d is the d-axis current, i q is the q-axis current, T e is the electromagnetic torque of the motor, J m It is the shaft inertia of the motor, ω rm is the shaft mechanical speed of the motor, B m is the shaft friction coefficient of the motor, and T L is the load torque.

圖3是習知三相四開關變頻器在轉速命令200 rpm下之四種電壓向量分佈模擬圖。請參見圖3。三相四開關變頻器在電流磁滯控制的開關切換策略下,四種電壓向量為沒有規則地隨機出現。該變頻器(換流器)藉由四個功率開關的切換,共有四種切換模式。3 is a simulation diagram of four voltage vector distributions of a conventional three-phase four-switch inverter at a rotational speed command of 200 rpm. See Figure 3. In the three-phase four-switch inverter, under the switching strategy of current hysteresis control, the four voltage vectors appear randomly and irregularly. The frequency converter (inverter) has four switching modes by switching between four power switches.

圖5是習知三相四開關變頻器之四種電壓向量示意圖。請參見圖5。以V1 、V2 、V3 及V4 表示四種不同的電壓向量,四種電壓向量與對應的開關切換狀態如下的表1所示。FIG. 5 is a schematic diagram of four voltage vectors of a conventional three-phase four-switch inverter. See Figure 5. Four different voltage vectors are represented by V 1 , V 2 , V 3 and V 4 , and the four voltage vectors and corresponding switching states are as shown in Table 1 below.

本發明實施例不需量測零電壓向量下的電流變化率,不需要改變變頻器原本的開關切換策略,僅需在四種非零電壓向量下,量測電流變化率。為了方便理解四種電壓向量與對應的開關切換模式,當電壓向量為V1 時,功率開關Ta0 及Tb0 導通如圖6所示;當電壓向量為V2 時,功率開關Ta1 及Tb0 導通如圖7所示;當電壓向量為V3 時,功率開關Ta0 及Tb1 導通如圖8所示;當電壓向量為V4 時,功率開關Ta1 及Tb1 導通如圖9所示。The embodiment of the invention does not need to measure the current change rate under the zero voltage vector, and does not need to change the original switch switching strategy of the frequency converter, and only needs to measure the current change rate under four non-zero voltage vectors. In order to facilitate understanding of the four voltage vectors and the corresponding switching mode, when the voltage vector is V 1 , the power switches T a0 and T b0 are turned on as shown in FIG. 6; when the voltage vector is V 2 , the power switches T a1 and T B0 is turned on as shown in FIG. 7; when the voltage vector is V 3 , the power switches T a0 and T b1 are turned on as shown in FIG. 8; when the voltage vector is V 4 , the power switches T a1 and T b1 are turned on as shown in FIG. 9 . Show.

附註:每一相具有一對的功率開關,而每一對功率開關可以控制上臂與下臂的運作,當「1」代表功率開關中的上臂導通,而當「0」代表功率開關中的下臂導通。Note: Each phase has a pair of power switches, and each pair of power switches can control the operation of the upper arm and the lower arm. When "1" represents the upper arm of the power switch is turned on, and when "0" represents the lower of the power switch The arm is turned on.

為了解釋本發明實施例的轉軸角度估測基本原理,在三相四開關變頻器架構下,以電壓向量V1 的開關切換狀態為例。此時功率開關T a 0T b 0 為導通狀態如圖6所示。在電壓向量V1 狀態下,並使用公式(1)~(16)可得內藏式永磁同步電動機的a相和b相定子電壓方程式及三相電流斜率平衡方程式,分別為:In order to explain the basic principle of the axis estimation of the embodiment of the present invention, in the three-phase four-switch inverter architecture, the switching state of the voltage vector V 1 is taken as an example. At this time, the power switches T a 0 and T b 0 are in a conducting state as shown in FIG. 6 . In the voltage vector V 1 state, and using equations (1) to (16), the a-phase and b-phase stator voltage equations and the three-phase current-slope balance equations of the built-in permanent magnet synchronous motor can be obtained, respectively:

公式(19)~(21)中,下標符號V1表示變化量是限制在電壓向量V1 狀態下。Equation (19) to (21), the subscript represents the change amount V1 is limited in voltage vector V 1 state.

同理,當三相四開關變頻器於電壓向量V2 下的開關切換狀態為例,此時功率開關T a 1T b 0 為導通狀態如圖7所示,在電壓向量V2 狀態下並使用公式(1)~(16)可得內藏式永磁同步電動機的a相和b相定子電壓方程式及三相電流斜率平衡方程式,分別為:Similarly, when the switching state of the three-phase four-switch inverter under the voltage vector V 2 is taken as an example, the power switches T a 1 and T b 0 are turned on as shown in FIG. 7 , in the state of the voltage vector V 2 . And using equations (1) to (16), the a-phase and b-phase stator voltage equations and the three-phase current-slope balance equations of the built-in permanent magnet synchronous motor are obtained, respectively:

公式(22)~(24)中,下標符號V2表示變化量是限制在電壓向量V2 狀態下。In the formulas (22) to (24), the subscript symbol V2 indicates that the amount of change is limited to the state of the voltage vector V 2 .

同理,當三相四開關變頻器於電壓向量V3 下的開關切換狀態為例,此時功率開關T a 0T b 1 為導通狀態如圖8所示,在電壓向量V3 狀態下並使用公式(1)~(16)可得內藏式永磁同步電動機的a相和b相定子電壓方程式及三相電流斜率平衡方程式,分別為:Similarly, when the switching state of the three-phase four-switch inverter under the voltage vector V 3 is taken as an example, the power switches T a 0 and T b 1 are turned on as shown in FIG. 8 , in the state of voltage vector V 3 . And using equations (1) to (16), the a-phase and b-phase stator voltage equations and the three-phase current-slope balance equations of the built-in permanent magnet synchronous motor are obtained, respectively:

公式(25)~(27)中,下標符號V3表示變化量是限制在電壓向量V3 狀態下。In the formulas (25) to (27), the subscript symbol V3 indicates that the amount of change is limited to the state of the voltage vector V 3 .

同理,當三相四開關變頻器於電壓向量V4 下的開關切換狀態為例,此時功率開關T a 1T b 1 為導通狀態如圖9所示,在電壓向量V4 狀態下並使用公式(1)~(16)可得內藏式永磁同步電動機的a相和b相定子電壓方程式及三相電流斜率平衡方程式,分別為:Similarly, when the switching state of the three-phase four-switch inverter under the voltage vector V 4 is taken as an example, the power switches T a 1 and T b 1 are turned on as shown in FIG. 9 , in the state of the voltage vector V 4 . And using equations (1) to (16), the a-phase and b-phase stator voltage equations and the three-phase current-slope balance equations of the built-in permanent magnet synchronous motor are obtained, respectively:

公式(28)~(30)中,下標符號V4表示變化量是限制在電壓向量V4 狀態下。In the formulas (28) to (30), the subscript symbol V4 indicates that the amount of change is limited to the state of the voltage vector V 4 .

三相四開關變頻器在開關切換時,假設在相鄰取樣間隔時間內,電感對轉軸角度變化量不變,即下列條件成立:When the three-phase four-switch inverter is switched, it is assumed that the change in the angle of the inductance to the rotation axis does not change during the adjacent sampling interval, that is, the following conditions are true:

由於三相電流是平衡的,即i a +i b +i c =0,故在不同電壓向量下的電流變化率差值的和為零,即下列條件成立:Since the three-phase current is balanced, that is, i a + i b + i c =0, the sum of the current change rate differences under different voltage vectors is zero, that is, the following conditions are true:

Di as | Vij +Di bs | Vij +Di cs | Vij =0,ij and i ,j =1,2,3,4 公式(32)。 Di as | Vij + Di bs | Vij + Di cs | Vij =0, ij and i , j =1, 2, 3, 4 Equation (32).

其中,定義不同電壓向量下的三相定子電流變化率差值分別為:Among them, the three-phase stator current change rate difference under different voltage vectors is defined as:

由公式(32)可知,Di as | Vij Di bs | Vij Di cs | Vij 為線性相依,經由公式(19)~(31),可選出任2個不同的電壓向量下對應的a相和b相定子電壓方程式及公式(32),如此可以消去定子電阻壓降和反電動勢的影響,將所得到的三相定子電流變化率差值彼此間的關係以矩陣方式整理如下:It can be seen from equation (32) that Di as | Vij , Di bs | Vij and Di cs | Vij are linearly dependent, and the corresponding phase a and sum of two different voltage vectors can be selected via equations (19) to (31). The b-phase stator voltage equation and the formula (32) can eliminate the influence of the stator resistance voltage drop and the back electromotive force, and the relationship between the obtained three-phase stator current change rate differences is arranged in a matrix manner as follows:

公式(36)中對應的3×3矩陣皆為可逆,故可得Di as | Vij Di bs | Vij Di cs | Vij 與轉軸角度和電壓V d 的關係。為了得到在不同電壓向量下所選的三個定子電流變化率差值為線性獨立且所找出的關係矩陣為可逆,滿足這樣的組合有很多種,為了說明方便,僅列出下列其中的組合變化作為參考。The corresponding 3×3 matrices in equation (36) are all reversible, so the relationship between Di as | Vij , Di bs | Vij and Di cs | Vij and the angle of the shaft and the voltage V d can be obtained. In order to obtain that the three stator current change rate differences selected under different voltage vectors are linearly independent and the found relationship matrix is reversible, there are many combinations that satisfy such a combination. For convenience of explanation, only the following combinations are listed. Change as a reference.

舉例來說,若選擇三個不同電壓向量V 1V 2V 4 下的定子電流變化率差值組合而能夠滿足公式(37)可得:For example, if the combination of stator current change rate differences under three different voltage vectors V 1 , V 2 , V 4 is selected , the formula (37) can be satisfied:

其中Di as | V 12Di bs | V 12 可利用公式(36)整理出關係矩陣為:Where Di as | V 12 and Di bs | V 12 can use equation (36) to sort out the relationship matrix:

將公式(8)~(16)代入公式(39)求解Di as | V 12Di bs | V 12 為:Substituting the formulas (8) to (16) into the formula (39) to solve Di as | V 12 and Di bs | V 12 is:

同理,由公式(36)可得:For the same reason, it can be obtained by formula (36):

將公式(8)~(16)代入公式(42)求解Di bs | V 14 為:Substituting equations (8)-(16) into equation (42) to solve Di bs | V 14 is:

將推導出的Di as | V 12Di bs | V 12Di bs | V 14 重新整理如下:Rearrange the derived Di as | V 12 , Di bs | V 12 and Di bs | V 14 as follows:

其中among them

由公式(44)~(46)可得Di αDi βDi dc 的關係矩陣為:The relationship matrix of Di α , Di β and Di dc can be obtained from equations (44) to (46):

由公式(50)可知Di αDi β 可以經由公式(50)計算出來,再將Di αDi β 兩式取反正切函數運算可求得轉軸角度θre 為:It can be seen from the formula (50) that Di α and Di β can be calculated by the formula (50), and the inverse tangent function of the Di α and Di β equations can be used to obtain the rotation axis angle θ re :

值得一提的是,本發明實施例乃應用內藏式永磁同步電動機三相定子電壓數學模型,在四種開關切換模式下的三相定子電壓方程式,其中定子電壓方程式為非線性函數,包含了電動機一倍電氣角度和二倍電氣角度資訊,在合理的假設條件下,不同的二個非零電壓向量下的三相定子電壓方程式相減可消去與電動機有關之一倍電氣角度資訊和電阻壓降,並保留二倍電氣角度資訊,所得的電流變化率差值資訊,再經由所設計的矩陣運算,可得到在靜止座標軸下之二倍電氣角度相關函數,此函數與轉軸位置有關,因此可進一步估測出內藏式永磁同步電動機之轉軸角度資訊。It is worth mentioning that the embodiment of the present invention is a three-phase stator voltage mathematical model of a built-in permanent magnet synchronous motor, a three-phase stator voltage equation in four switching modes, wherein the stator voltage equation is a nonlinear function, including The electric motor doubles the electrical angle and the double electrical angle information. Under reasonable assumptions, the three-phase stator voltage equation subtraction under two different non-zero voltage vectors can eliminate one-time electrical angle information and resistance related to the motor. The voltage drop, and retain the information of the second electrical angle, the obtained current change rate difference information, and then through the designed matrix operation, can obtain the double electrical angle correlation function under the static coordinate axis, this function is related to the position of the rotating shaft, so The shaft angle information of the built-in permanent magnet synchronous motor can be further estimated.

除了公式(38)以外,滿足公式(37)的可能組合尚有很多,以下再舉23種實施態樣作為說明。不同電壓向量下電流變化率差值與Di αDi β 的轉換矩陣關係分別為公式(52)~(74),請參考如下:In addition to the formula (38), there are many possible combinations that satisfy the formula (37), and 23 embodiments are exemplified below. The relationship between the current change rate difference and the conversion matrix of Di α and Di β under different voltage vectors is the formula (52) ~ (74), please refer to the following:

由公式(52)~(74)可知,將不同電壓向量下的電流變化率差值經過所設計的矩陣運算可求得Di αDi β ,最後,再經由公式(51)即可很容易地估算出轉軸角度θ re ,再對所得到的轉軸角度微分,可以得到轉軸速度ω re 為:It can be seen from equations (52)-(74) that Di α and Di β can be obtained by calculating the current change rate difference under different voltage vectors through the designed matrix operation. Finally, it can be easily obtained by formula (51). Estimating the angle θ re of the shaft and then differentiating the angle of the obtained shaft, the shaft speed ω re can be obtained as:

由上述的詳細說明可知,本發明實施例的轉軸角度估測方法可以在內藏式永磁同步電動機中實現無轉軸偵測元件的位置控制及速度控制。重覆上述分析手段,可以推導出所需的任意三組非零電壓向量下的電流變化率差值與Di αDi β 的轉換矩陣關係,並且不需要用到任何零電壓向量下的電流變化率。As can be seen from the above detailed description, the method for estimating the angle of the rotating shaft of the embodiment of the present invention can realize the position control and speed control of the shaftless detecting element in the built-in permanent magnet synchronous motor. Repeating the above analysis means, we can deduce the relationship between the current change rate difference of any three non-zero voltage vectors and the conversion matrix of Di α and Di β , and do not need to use any zero voltage vector current change. rate.

值得一提的是,在三相四開關變頻架構下,是無法產生出零電壓向量的。故,習知技術是無法直接套用在本實施例的三相四開關的拓樸結構下。It is worth mentioning that under the three-phase four-switch frequency conversion architecture, zero voltage vector cannot be generated. Therefore, the conventional technique cannot be directly applied to the topology of the three-phase four-switch of this embodiment.

本實施例的轉軸角度的估測方法中,由先前技術可知公式(33)~(35)的電流變化率差值是可以獲得的資訊,接著,再由對應的轉換矩陣運算,可以得到Di αDi β 的值,再由公式(51)可以估測出轉軸角度。換言之,在每次的開關切換下記錄a相和b相的電流變化率,再利用其他不同電壓向量下的a相和b相的電流變化率,得到3個不同電壓向量下a相和b相的電流變化率差值,再利用預先設計的轉換矩陣計算出Di αDi β ,最後再由公式(51)即可估測出轉軸角度。In the estimation method of the rotation angle of the embodiment, it is known from the prior art that the current change rate difference of the formulas (33) to (35) is the information that can be obtained, and then, by the corresponding conversion matrix operation, Di α can be obtained. And the value of Di β , and then the formula (51) can estimate the angle of the shaft. In other words, the current change rate of the a-phase and the b-phase is recorded under each switching, and the current change rates of the a-phase and the b-phase under other different voltage vectors are used to obtain the a-phase and the b-phase under three different voltage vectors. The current change rate difference is calculated by using a pre-designed transformation matrix to calculate Di α and Di β , and finally the angle of the shaft can be estimated by the formula (51).

由於三相四開關變頻器(換流器)在開關切換時,開關的四種切換模式是隨機出現。茲再舉一例作為說明。Since the three-phase four-switch inverter (inverter) is switched at the switch, the four switching modes of the switch appear randomly. Here is another example for illustration.

假設第k次開關切換到電壓向量V3 ,由習知技術可以量測到a相和b相的電流變化率,假設在第k次之前與第k次相鄰的開關切換狀態為電壓向量V4 ,則可得到的資訊;利用公式(33)~(34)可得Di as | V 34Di bs | V 34 。一般而言,變頻器開關的切換頻率可達1秒鐘上萬次的切換次數,故在第k次之前的相鄰附近一定會出現不同的電壓向量,假設是電壓向量V2 ,故可獲得的資訊,再利用公式(34)可得Di bs | V 32 ,最後經由公式(74)及公式(51)的計算,可以估測出轉軸角度θ re 的資訊。Assuming that the kth switch is switched to the voltage vector V 3 , the current change rate of the a phase and the b phase can be measured by a conventional technique. with Assuming that the switching state of the switch adjacent to the kth time before the kth time is the voltage vector V 4 , then with Information; Di as | V 34 and Di bs | V 34 can be obtained using equations (33) to (34). In general, the switching frequency of the inverter switch can reach the number of switching times of 10,000 times in one second, so different voltage vectors must appear in the vicinity of the kth time, assuming a voltage vector V 2 , so The information can be obtained by using equation (34) to obtain Di bs | V 32 . Finally, the calculation of the formula (74) and formula (51) can estimate the information of the angle θ re of the shaft.

基於上述實施例的說明,圖10為本發明一實施例轉軸角度估測方法流程圖。本實施例之轉軸角度的估測方法可以包括以下幾個步驟:讀取相電流i as i bs (步驟S1005);計算電流變化率(步驟S1010);計算電流變化率差值,利用公式(33)和公式(34)(步驟S1015),其中公式(33)和公式(34)分別等同於【發明內容】中的公式(B)和公式(C);利用公式(50)至公式(74)可得Di αDi β (步驟S1020);以及以公式(51)計算(步驟S1025)。Based on the description of the above embodiments, FIG. 10 is a flowchart of a method for estimating a shaft angle according to an embodiment of the present invention. The method for estimating the angle of the shaft of the embodiment may include the following steps: reading the phase currents i as and i bs (step S1005); calculating the rate of change of the current (Step S1010); calculating the current change rate difference using Equation (33) and Formula (34) (Step S1015), wherein Equation (33) and Formula (34) are respectively equivalent to Formula (B) in [Invention] And the formula (C); using the formula (50) to the formula (74) to obtain Di α and Di β (step S1020); and calculating by the formula (51) (Step S1025).

然而,上述的實施例僅為用來說明本發明的概念,而非限制本發明的實際應用方式。However, the above-described embodiments are merely illustrative of the present invention and are not intended to limit the actual application of the present invention.

關於模擬結果:About the simulation results:

本發明實施例以電腦套裝軟體Matlab作為模擬平台,以模擬三相四開關變頻器供電之內藏式永磁同步電動機驅動系統,以驗證所提方法的可行性。若干模擬結果可證明本發明實施例所提的方法是具有可實現性的。圖11為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之電流變化率差值經過設計的矩陣運算合成出Di αDi β 波形。由圖11可知,所提方法可由電流變化率差值訊號中成功地擷取出其中的分量訊號Di αDi β ,將其合成出一個圓的軌跡。The embodiment of the invention uses the computer set software Matlab as the simulation platform to simulate the built-in permanent magnet synchronous motor drive system powered by the three-phase four-switch inverter to verify the feasibility of the proposed method. Several simulation results demonstrate that the method of the embodiments of the present invention is achievable. FIG. 11 is a schematic diagram of a Di α and Di β waveform synthesized by a matrix operation of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter in a rotation speed command of 200 rpm according to an embodiment of the present invention. It can be seen from Fig. 11 that the proposed method can successfully extract the component signals Di α and Di β from the current change rate difference signal and synthesize them into a circular trajectory.

圖12為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之a相定子電壓分佈示意圖。圖13為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之c相定子電壓分佈示意圖。由圖12和圖13可知,三相四開關變頻器的輸出電壓與表1為一致,即a相和c相的定子電壓與表1中的推導結果為一致。FIG. 12 is a schematic diagram showing the a-phase stator voltage distribution of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter in a rotation speed command of 200 rpm according to an embodiment of the present invention. FIG. 13 is a schematic diagram showing the c-phase stator voltage distribution of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter in a rotation speed command of 200 rpm according to an embodiment of the present invention. 12 and 13, the output voltage of the three-phase four-switch inverter is the same as that in Table 1, that is, the stator voltages of the a-phase and the c-phase are consistent with the derivation results in Table 1.

圖14為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之轉軸速度的實際值與估測值的比較圖。圖15為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之轉軸角度的實際值與估測值的比較圖。請參照圖14與圖15,表示本發明實施例於位置控制與中轉速控制中估測轉軸角度/速度的模擬成果趨於理想化。FIG. 14 is a comparison diagram of the actual value and the estimated value of the shaft speed of the built-in permanent magnet synchronous motor supplied by the three-phase four-switch inverter in the rotation speed command 200 rpm according to the embodiment of the present invention. FIG. 15 is a comparison diagram of the actual value and the estimated value of the shaft angle of the built-in permanent magnet synchronous motor powered by the three-phase four-switch inverter in the rotation speed command 200 rpm according to the embodiment of the present invention. Referring to FIG. 14 and FIG. 15, it is shown that the simulation results of estimating the angle/speed of the rotating shaft in the position control and the medium speed control are idealized in the embodiment of the present invention.

圖16為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令50 rpm下之轉軸角度的實際值與估測值的比較圖。圖17為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令50 rpm下之轉軸角度估測誤差圖。請參照圖16與圖17,表示本發明實施例於位置控制與低轉速控制中估測轉軸角度的模擬成果趨於理想化。FIG. 16 is a comparison diagram of the actual value and the estimated value of the shaft angle of the built-in permanent magnet synchronous motor powered by the three-phase four-switch inverter according to the embodiment of the present invention at a rotational speed command of 50 rpm. FIG. 17 is a diagram showing an estimated angle error of a rotating shaft at a rotational speed command of 50 rpm for a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter according to an embodiment of the present invention. Referring to FIG. 16 and FIG. 17, it is shown that the simulation results of estimating the angle of the rotating shaft in the position control and the low speed control are idealized in the embodiment of the present invention.

圖18為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉軸命令140度下之轉軸角度的實際值與估測值的比較圖。圖19為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉軸命令140度下之轉軸角度估測誤差圖。請參照圖18與圖19,表示本發明實施例於估測轉軸角度的模擬成果趨於理想化。FIG. 18 is a comparison diagram of the actual value and the estimated value of the shaft angle of the built-in permanent magnet synchronous motor powered by the three-phase four-switch inverter in the embodiment of the present invention at a rotation axis command of 140 degrees. FIG. 19 is a diagram showing an estimated angle error of a rotating shaft of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter according to an embodiment of the present invention. Referring to FIG. 18 and FIG. 19, it is shown that the simulation result of estimating the angle of the rotating shaft of the embodiment of the present invention tends to be idealized.

由圖14至圖19的相關模擬結果可知,本發明實施例的技術適用於工業界的內藏式永磁同步電動機,在位置控制和低轉速控制上都可以進行轉軸角度的估測。It can be seen from the correlation simulation results of FIG. 14 to FIG. 19 that the technology of the embodiment of the present invention is applicable to the built-in permanent magnet synchronous motor of the industry, and the angle of the shaft can be estimated in both the position control and the low speed control.

綜上所述,本發明實施例利用三相四開關變頻器所產生的四種非零電壓向量,在二個不同的非零電壓向量下,量測電流變化率差值訊號,據以估測內藏式永磁同步電動機之轉軸角度。本發明實施例與先前技藝相較之下至少具有下列的優點:In summary, the embodiment of the present invention uses four non-zero voltage vectors generated by a three-phase four-switch inverter to measure the current change rate difference signal under two different non-zero voltage vectors, and estimates The shaft angle of the built-in permanent magnet synchronous motor. Embodiments of the present invention have at least the following advantages over the prior art:

(1) 不需使用六個功率開關所組成的變頻器架構;(1) It is not necessary to use a frequency converter architecture consisting of six power switches;

(2) 不需量測也不使用零電壓向量下的電流變化率;(2) The current rate of change under zero voltage vector is not used for measurement;

(3) 不需改變原本變頻器開關的切換策略;以及(3) There is no need to change the switching strategy of the original inverter switch;

(4) 計算簡便。(4) Easy to calculate.

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 those skilled 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.

1...電動機1. . . electric motor

2...電流感測器2. . . Current sensor

3...類比/數位轉換器3. . . Analog/digital converter

4...數位訊號處理器4. . . Digital signal processor

5...轉子角度估測的部件5. . . Rotor angle estimation component

6...差分器6. . . Differentiator

7...速度控制的部件7. . . Speed control unit

8...電流控制的部件8. . . Current controlled components

9...脈寬調變控制的部件9. . . Pulse width modulation control component

10...變頻器(換流器)10. . . Inverter (inverter)

ia 、ib 、ic ...三相定子電流i a , i b , i c . . . Three-phase stator current

...三相定子電流命令 . . . Three-phase stator current command

Ta0 、Ta1 、Tb0 、Tb1 ...功率開關T a0 , T a1 , T b0 , T b1 . . . Power switch

V1 、V2 、V3 、V4 ...電壓向量V 1 , V 2 , V 3 , V 4 . . . Voltage vector

...直軸電流命令 . . . Straight axis current command

...交軸電流命令 . . . Axial current command

‧‧‧轉軸角度估測值 ‧‧‧Reducing angle of the shaft

‧‧‧轉軸速度估測值 ‧‧‧Reducing speed of shaft

‧‧‧轉軸速度命令 ‧‧‧Rotary speed command

S1005~S1025‧‧‧轉軸角度的估測方法流程圖各步驟S1005~S1025‧‧‧Reducing method of shaft angle

圖1是習知技術,在六開關變頻器的架構下,該變頻器的開關切換策略是採用電流磁滯控制,當電動機在轉速命令50 rpm下的開關切換模式分佈模擬圖。FIG. 1 is a conventional technique. Under the architecture of a six-switch inverter, the switching strategy of the inverter is to use current hysteresis control, and the switching pattern of the motor is simulated at a speed command of 50 rpm.

圖2是習知技術,在六開關變頻器的架構下,採用零電壓向量切換策略在轉速命令50 rpm下之開關切換模式分佈模擬圖。2 is a prior art diagram of a switching mode distribution simulation diagram of a zero-voltage vector switching strategy at a rotational speed command of 50 rpm under the architecture of a six-switch inverter.

圖3是習知三相四開關變頻器加構下,該變頻器的開關切換策略是採用電流磁滯控制,當電動機在轉速命令200 rpm下之四種電壓向量分佈模擬圖。Figure 3 is a conventional three-phase four-switch inverter. The switching strategy of the inverter is current hysteresis control. When the motor is at the speed command 200 rpm, the four voltage vector distributions are simulated.

圖4是本發明實施例的內藏式永磁同步電動機控速系統方塊圖。4 is a block diagram of a built-in permanent magnet synchronous motor speed control system according to an embodiment of the present invention.

圖5是習知三相四開關變頻器之四種電壓向量示意圖。FIG. 5 is a schematic diagram of four voltage vectors of a conventional three-phase four-switch inverter.

圖6為本發明實施例中三相四開關變頻器架構下,在電壓向量V1 下之開關切換狀態及內藏式永磁同步電動機等效電路示意圖。6 is a schematic diagram showing an equivalent circuit of a switching state of a voltage vector V 1 and a built-in permanent magnet synchronous motor in a three-phase four-switch inverter structure according to an embodiment of the present invention.

圖7為本發明實施例中三相四開關變頻器架構下,在電壓向量V2 下之開關切換狀態及內藏式永磁同步電動機等效電路示意圖。FIG. 7 is a schematic diagram showing the switching state of the switching under the voltage vector V 2 and the equivalent circuit of the built-in permanent magnet synchronous motor in the three-phase four-switch inverter structure according to the embodiment of the present invention.

圖8為本發明實施例中三相四開關變頻器架構下,在電壓向量V3 下之開關切換狀態及內藏式永磁同步電動機等效電路示意圖。FIG. 8 is a schematic diagram showing the switching state of the switch under the voltage vector V 3 and the equivalent circuit of the built-in permanent magnet synchronous motor under the three-phase four-switch inverter structure according to the embodiment of the present invention.

圖9為本發明實施例中三相四開關變頻器架構下,在電壓向量V4 下之開關切換狀態及內藏式永磁同步電動機等效電路示意圖。FIG. 9 is a schematic diagram showing the switching state of the switching under the voltage vector V 4 and the equivalent circuit of the built-in permanent magnet synchronous motor in the three-phase four-switch inverter structure according to the embodiment of the present invention.

圖10為本發明實施例轉軸角度估測方法流程圖。FIG. 10 is a flowchart of a method for estimating a rotation angle of an embodiment of the present invention.

圖11為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之電流變化率差值經過設計的矩陣運算合成出Di αDi β 波形。FIG. 11 is a schematic diagram of a Di α and Di β waveform synthesized by a matrix operation of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter in a rotation speed command of 200 rpm according to an embodiment of the present invention.

圖12為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之a相定子電壓分佈示意圖。FIG. 12 is a schematic diagram showing the a-phase stator voltage distribution of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter in a rotation speed command of 200 rpm according to an embodiment of the present invention.

圖13為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之c相定子電壓分佈示意圖。FIG. 13 is a schematic diagram showing the c-phase stator voltage distribution of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter in a rotation speed command of 200 rpm according to an embodiment of the present invention.

圖14為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之轉軸速度的實際值與估測值的比較圖。FIG. 14 is a comparison diagram of the actual value and the estimated value of the shaft speed of the built-in permanent magnet synchronous motor supplied by the three-phase four-switch inverter in the rotation speed command 200 rpm according to the embodiment of the present invention.

圖15為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令200 rpm下之轉軸角度的實際值與估測值的比較圖。FIG. 15 is a comparison diagram of the actual value and the estimated value of the shaft angle of the built-in permanent magnet synchronous motor powered by the three-phase four-switch inverter in the rotation speed command 200 rpm according to the embodiment of the present invention.

圖16為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令50 rpm下之轉軸角度的實際值與估測值的比較圖。FIG. 16 is a comparison diagram of the actual value and the estimated value of the shaft angle of the built-in permanent magnet synchronous motor powered by the three-phase four-switch inverter according to the embodiment of the present invention at a rotational speed command of 50 rpm.

圖17為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉速命令50 rpm下之轉軸角度估測誤差圖。FIG. 17 is a diagram showing an estimated angle error of a rotating shaft at a rotational speed command of 50 rpm for a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter according to an embodiment of the present invention.

圖18為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉軸命令140度下之轉軸角度的實際值與估測值的比較圖。FIG. 18 is a comparison diagram of the actual value and the estimated value of the shaft angle of the built-in permanent magnet synchronous motor powered by the three-phase four-switch inverter in the embodiment of the present invention at a rotation axis command of 140 degrees.

圖19為本發明實施例中三相四開關變頻器供電之內藏式永磁同步電動機在轉軸命令140度下之轉軸角度估測誤差圖。FIG. 19 is a diagram showing an estimated angle error of a rotating shaft of a built-in permanent magnet synchronous motor powered by a three-phase four-switch inverter according to an embodiment of the present invention.

S1005~S1025...轉軸角度的估測方法流程圖各步驟S1005~S1025. . . Rotating axis angle estimation method flow chart steps

Claims (4)

一種在三相四開關變頻器架構中轉軸角度的估測方法,適用於內藏式永磁同步電動機中估測一轉軸角度,所述估測方法包括:在保留原有的開關切換策略下,讀取定子的第一相電流與第二相電流;根據所述第一相電流與所述第二相電流,計算三相電流變化率;以及利用三相電流變化率的差值來進行矩陣運算,據以估測所述轉軸角度,其中所述三相電流變化率的差值定義為計算兩種非零電壓向量切換模式下的三相電流變化率的差值。 An estimation method for a shaft angle in a three-phase four-switch inverter architecture, which is suitable for estimating a shaft angle in a built-in permanent magnet synchronous motor, wherein the estimation method comprises: while retaining the original switch switching strategy, Reading a first phase current and a second phase current of the stator; calculating a three-phase current change rate according to the first phase current and the second phase current; and performing a matrix operation by using a difference between the three-phase current change rates According to the estimated angle of the rotating shaft, wherein the difference of the three-phase current change rate is defined as a difference between the three-phase current change rates in the two non-zero voltage vector switching modes. 如申請專利範圍第1項所述之在三相四開關變頻器架構中轉軸角度的估測方法,其中所述內藏式永磁同步電動機的接線為三相Y接線,所述三相四開關變頻器具有四種開關切換狀態,且產生四種不同且非零的電壓向量;以及所述第一相電流與所述第二相電流為所述三相四開關變頻器架構中所述內藏式永磁同步電動機在非零電壓向量下的定子任二相電流。 The method for estimating a rotation angle of a three-phase four-switch inverter structure according to the first aspect of the patent application, wherein the connection of the built-in permanent magnet synchronous motor is a three-phase Y connection, and the three-phase four-switch The frequency converter has four switch switching states and generates four different and non-zero voltage vectors; and the first phase current and the second phase current are built into the three-phase four-switch inverter architecture A two-phase current of a stator of a permanent magnet synchronous motor under a non-zero voltage vector. 如申請專利範圍第1項所述之在三相四開關變頻器架構中轉軸角度的估測方法,其中所述三相電流變化率的差值滿足下列公式關係: 在公式(A)中,Di as | Vij 代表電動機在兩種非零電壓向量下a相定子電流變化率差值;Di bs | Vij 代表電動機在兩種非零電壓向量下b相定子電流變化率差值;Di cs | Vij 代表電動機在兩種非零電壓向量下c相定子電流變化率差值;v asi -v asj 代表電動機在兩種非零電壓向量下a相定子電壓差值;v bsi -v bsj 代表電動機在兩種非零電壓向量下b相定子電壓差值;以及L AA L AB L AC L BA L BB L BC L q 為電動機的自感與互感相關參數。The method for estimating the angle of the rotating shaft in the three-phase four-switch inverter architecture as described in claim 1, wherein the difference in the three-phase current change rate satisfies the following formula relationship: In formula (A), Di as | Vij represents the a-phase stator current change rate difference of the motor under two non-zero voltage vectors; Di bs | Vij represents the b-phase stator current change rate of the motor under two non-zero voltage vectors Di cs | Vij represents the c-phase stator current change rate difference of the motor under two non-zero voltage vectors; v asi - v asj represents the a-phase stator voltage difference of the motor under two non-zero voltage vectors; v bsi - v bsj represents the b-phase stator voltage difference of the motor under two non-zero voltage vectors; and L AA , L AB , L AC , L BA , L BB , L BC , L q are the self-inductance and mutual inductance related parameters of the motor . 如申請專利範圍第1項所述之在三相四開關變頻器架構中轉軸角度的估測方法,其中所述三相電流變化率的差值包括電動機a相、b相及c相的定子電流變化率差值而滿足下列公式關係: 在公式(B)至(D)中,Di as | Vij Di bs | Vij Di cs | Vij 分別代 表電動機在不同電壓向量下的a相、b相及c相的定子電流變化率差值;i as i bs i cs 分別代表該電動機的三相定子電流;下標Vi代表三相四開關變頻器的開關切換模式在電壓向量Vi 下;以及下標Vj代表三相四開關變頻器的開關切換模式在電壓向量Vj 下。The method for estimating a shaft angle in a three-phase four-switch inverter architecture according to claim 1, wherein the difference in the three-phase current change rate includes a stator current of the a phase, the b phase, and the c phase of the motor The rate of change difference satisfies the following formula relationship: In formulas (B) to (D), Di as | Vij , Di bs | Vij and Di cs | Vij represent the stator current change rate difference of the a phase, b phase and c phase of the motor under different voltage vectors, respectively; i as , i bs , i cs represent the three-phase stator current of the motor respectively; the subscript Vi represents the switching mode of the three-phase four-switch inverter under the voltage vector V i ; and the subscript Vj represents the three-phase four-switch inverter The switching mode is under the voltage vector V j .
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