CN104579086B - A kind of permagnetic synchronous motor failure judgment method based on zero sequence inductance - Google Patents
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Abstract
一种基于零序电感的永磁同步电机故障判定方法,涉及一种电机故障判定方法。目前需要用到零序电感时,常从电机的物理模型来推导计算,实现方法比较复杂,计算量大,对永磁同步电机控制器的数据计算处理能力要求较高。在本技术方案中对零序电感计算直接从现有的三相永磁同步电机绕组磁链入手,从dqo到abc的坐标变换获得三相绕组的磁链,通过相磁链表达式求出零序电感,进而得出永磁同步电机相自感和互感表达式求出自感和互感,与永磁同步电机控制器中正常的自感和互感进行比较,确定那一相绕组故障。利用永磁同步电机矢量控制中的参数变量,控制器数据计算量大幅度减少,永磁同步电机绕组若有故障能及时得到响应。
A method for judging a fault of a permanent magnet synchronous motor based on a zero-sequence inductance relates to a method for judging a motor fault. At present, when the zero-sequence inductance is needed, the calculation is often derived from the physical model of the motor. The implementation method is relatively complicated, the calculation amount is large, and the data calculation and processing capabilities of the permanent magnet synchronous motor controller are required. In this technical solution, the calculation of the zero-sequence inductance starts directly from the existing three-phase permanent magnet synchronous motor winding flux linkage, obtains the flux linkage of the three-phase winding from the coordinate transformation of dqo to abc, and obtains the zero sequence through the phase flux linkage expression Sequence inductance, and then obtain the permanent magnet synchronous motor phase self-inductance and mutual inductance expression to find out the self-inductance and mutual inductance, compare with the normal self-inductance and mutual inductance in the permanent magnet synchronous motor controller, and determine which phase winding fault. By using the parameter variables in the vector control of the permanent magnet synchronous motor, the calculation amount of the controller data is greatly reduced, and if there is a fault in the permanent magnet synchronous motor winding, it can be responded in time.
Description
技术领域technical field
本发明涉及一种电机故障判定方法,尤其指一种基于零序电感的永磁同步电机故障判定方法。The invention relates to a motor fault judgment method, in particular to a permanent magnet synchronous motor fault judgment method based on zero-sequence inductance.
背景技术Background technique
随着电力电子技术的飞速进步和永磁同步电机矢量控制技术的不断深入发展,永磁同步电机在工业控制等领域里的应用日益广泛。当永磁同步电机处于过载运行和负载搭配不当状态时,尤其是在启动时,永磁同步电机定子电流增大导致发热,时间过长时极易出现绕组电流不平衡;当定子内膛进入灰尘和杂物、受潮、转子与定子绕组磨擦等问题时,易造成匝间短路产生三相不平衡。电机三相电流间的内在关系即三相电流之和等于零将不再成立。此时唯一的方法是在dq变量的基础上增加零序分量来进行变换。此种方法与感应电动机模型很类似,永磁同步电机只需要考虑定子绕组即可。With the rapid progress of power electronics technology and the continuous in-depth development of permanent magnet synchronous motor vector control technology, permanent magnet synchronous motors are widely used in industrial control and other fields. When the permanent magnet synchronous motor is in the state of overload operation and improper load matching, especially at start-up, the stator current of the permanent magnet synchronous motor will increase and cause heat generation, and the winding current imbalance will easily occur when the time is too long; when the inner bore of the stator enters the dust When there are problems such as debris, moisture, rotor and stator winding friction, it is easy to cause inter-turn short circuit and three-phase unbalance. The intrinsic relationship between the three-phase currents of the motor, that is, the sum of the three-phase currents is equal to zero will no longer hold true. The only way at this time is to add zero-sequence components on the basis of the dq variable for transformation. This method is very similar to the induction motor model, and the permanent magnet synchronous motor only needs to consider the stator winding.
目前需要用到零序电感时,常从电机的物理模型来推导计算,实现方法比较复杂,计算量大,对永磁同步电机控制器的数据计算处理能力要求较高。At present, when the zero-sequence inductance is needed, the calculation is often derived from the physical model of the motor. The implementation method is relatively complicated, the calculation amount is large, and the data calculation and processing capabilities of the permanent magnet synchronous motor controller are required.
发明内容Contents of the invention
本发明要解决的技术问题和提出的技术任务是对现有技术方案进行完善与改进,提供一种基于零序电感的永磁同步电机故障判定方法,以目的。为此,本发明采取以下技术方案。The technical problem to be solved and the technical task proposed by the present invention are to perfect and improve the existing technical solutions, and to provide a permanent magnet synchronous motor fault judgment method based on zero-sequence inductance for the purpose. For this reason, the present invention takes the following technical solutions.
一种基于零序电感的永磁同步电机故障判定方法,其特征在于包括以下步骤:A method for judging faults of permanent magnet synchronous motors based on zero-sequence inductance is characterized in that it comprises the following steps:
1)计算零序电流io值;提取永磁同步电机矢量控制运行中的参数:q轴磁链d轴磁链永磁同步电机控制器AD检测所得a相电流ias、b相电流ibs和c相电流ics;计算零序电流io:1) Calculate the zero-sequence current i o value; extract the parameters in the vector control operation of the permanent magnet synchronous motor: q-axis flux linkage d-axis flux linkage Permanent magnet synchronous motor controller AD detects a-phase current i as , b-phase current i bs and c-phase current i cs ; calculate zero-sequence current i o :
io=1/3(ias+ibs+ics)i o =1/3(i as +i bs +i cs )
2)计算dqo坐标系下稳态定子交轴电流和直轴根据步骤1)获得的参数值,通过下式2) Calculate the steady state stator quadrature axis current in the dqo coordinate system and straight axis According to the parameter value obtained in step 1), by the following formula
计算得出和值;其中θr为转子转角,通过提取永磁同步电机矢量控制运行中的转子转角参数值直接获得;Calculated with value; where θ r is the rotor angle, which is obtained directly by extracting the parameter value of the rotor angle in the vector control operation of the permanent magnet synchronous motor;
3)计算交轴电感Lq,直轴电感Ld;根据dqo坐标系统下的磁链和表达式:3) Calculate the quadrature-axis inductance L q and the direct-axis inductance L d ; according to the flux linkage under the dqo coordinate system with expression:
计算交轴电感Lq,直轴电感Ld;其中ψaf为永磁体产生电枢磁链,为电机固定参数值;Calculate the quadrature axis inductance L q and the direct axis inductance L d ; where ψ af is the armature flux linkage generated by the permanent magnet and is the fixed parameter value of the motor;
4)计算出当前状态下永磁同步电机的零序电感Lo值;根据a相磁链的表达式:4) Calculate the zero-sequence inductance L o value of the permanent magnet synchronous motor under the current state; according to the expression of a-phase flux linkage:
计算出当前状态下永磁同步电机的Lo值;Calculate the L o value of the permanent magnet synchronous motor in the current state;
5)计算永磁同步电机的自感Laa和互感Lab和Lac值;根据永磁同步电机a相自感和互感表达式:5) Calculate the self-inductance L aa and mutual inductance L ab and L ac values of the permanent magnet synchronous motor; according to the self-inductance and mutual inductance expressions of phase a of the permanent magnet synchronous motor:
Laa=2/3{Lo/2+(Lq+Ld)/2+((Lq-Ld)/2)cos2θr}L aa =2/3{L o /2+(L q +L d )/2+((L q -L d )/2)cos2θ r }
=Lo/3+(Lq+Ld)/3+((Lq-Ld)/3)cos2θr =L o /3+(L q +L d )/3+((L q -L d )/3) cos2θ r
Lab=-2/3{-Lo/2+(Lq+Ld)/4+((Lq-Ld)/2)}cos2(θr+30°)}L ab =-2/3{-L o /2+(L q +L d )/4+((L q -L d )/2)}cos2(θ r +30°)}
=-{-Lo/3+(Lq+Ld)/6+((Lq-Ld)/3)cos2(θr+30°)}=-{-L o /3+(L q +L d )/6+((L q -L d )/3)cos2(θ r +30°)}
Lac=-2/3{-Lo/2+(Lq+Ld)/4+{(Lq-Ld)/2)}cos2(θr+150°)}L ac =-2/3{-L o /2+(L q +L d )/4+{(L q -L d )/2)}cos2(θ r +150°)}
=-{-Lo/3+(Lq+Ld)/6+((Lq-Ld)/3)cos2(θr+150°)}=-{-L o /3+(L q +L d )/6+((L q -L d )/3)cos2(θ r +150°)}
计算出永磁同步电机的自感和互感Laa、Lab和Lac值;Calculate the self-inductance and mutual inductance L aa , Lab and L ac values of the permanent magnet synchronous motor;
6)a相绕组故障判断;把计算所得a相自感值Laa与控制器矢量控制初始输入的永磁同步电机参数自感值或永磁同步电机控制参数辨识获得的自感值进行比较,若两者的差值超过设定值时,则报a相绕组故障;6) Phase a winding fault judgment; compare the calculated self-inductance value L aa of phase a with the self-inductance value of the permanent magnet synchronous motor parameter initially input by the controller vector control or the self-inductance value obtained by the identification of the permanent magnet synchronous motor control parameter, If the difference between the two exceeds the set value, it will report a phase winding failure;
7)b相绕组故障判断;把计算所得a相互感值Lab与控制器矢量控制初始输入的永磁同步电机参数互感值或永磁同步电机控制参数辨识获得的互感值进行比较,若两者的差值超过设定值时,则报b相绕组故障;7) Fault judgment of the b -phase winding; compare the calculated mutual inductance value Lab a with the mutual inductance value of the permanent magnet synchronous motor parameter initially input by the controller vector control or the mutual inductance value obtained from the identification of the permanent magnet synchronous motor control parameter, if both When the difference exceeds the set value, it will report a b-phase winding fault;
8)c相绕组故障判断;把计算所得a相互感值Lab与控制器矢量控制初始输入的永磁同步电机参数互感值或永磁同步电机控制参数辨识获得的互感值进行比较,若两者的差值超过设定值时,则报c相绕组故障。8) C-phase winding fault judgment; compare the calculated a mutual inductance value Lab with the initial input of the permanent magnet synchronous motor parameter mutual inductance value of the controller vector control or the mutual inductance value obtained from the permanent magnet synchronous motor control parameter identification, if the two When the difference exceeds the set value, it will report a c-phase winding fault.
在本技术方案中对零序电感计算直接从现有的三相永磁同步电机绕组磁链入手,从dqo到abc的坐标变换获得三相绕组的磁链,通过相磁链表达式求出零序电感,进而得出永磁同步电机相自感和互感表达式求出自感和互感,与永磁同步电机控制器中正常的自感和互感进行比较,确定那一相绕组故障。利用永磁同步电机矢量控制中的参数变量,控制器数据计算量大幅度减少,永磁同步电机绕组若有故障能及时得到响应。In this technical solution, the calculation of the zero-sequence inductance starts directly from the existing three-phase permanent magnet synchronous motor winding flux linkage, obtains the flux linkage of the three-phase winding from the coordinate transformation of dqo to abc, and calculates the zero sequence through the phase flux linkage expression Sequence inductance, and then obtain the permanent magnet synchronous motor phase self-inductance and mutual inductance expression to find out the self-inductance and mutual inductance, compare with the normal self-inductance and mutual inductance in the permanent magnet synchronous motor controller, and determine which phase winding fault. By using the parameter variables in the vector control of the permanent magnet synchronous motor, the calculation amount of the controller data is greatly reduced, and if there is a fault in the permanent magnet synchronous motor winding, it can be responded in time.
作为对上述技术方案的进一步完善和补充,本发明还包括以下附加技术特征。As a further improvement and supplement to the above technical solutions, the present invention also includes the following additional technical features.
在步骤2)计算dqo坐标系下稳态定子交轴电流和直轴时,假设三相绕组的每一相绕组匝数为T1,并且电流的幅值相等,则根据磁动势相等原则,两项绕组每一项绕组的匝数为3T1/2。通过将三相磁动势沿d轴与q轴方向分解得到两相d轴与q轴的磁动势。In step 2) calculate the steady state stator quadrature axis current in the dqo coordinate system and straight axis , assuming that the number of turns of each phase of the three-phase winding is T 1 , and the magnitude of the current is equal, then according to the principle of equal magnetomotive force, the number of turns of each of the two windings is 3T 1 /2. By decomposing the three-phase magnetomotive force along the d-axis and q-axis directions, the two-phase d-axis and q-axis magnetomotive forces are obtained.
还包括零序电感Lo突变判断,当当前计算获得的零序电感Lo与之前的零序电感Lo’的差值超过设定值时,判定电机故障,停机等待处理。It also includes the sudden change judgment of the zero-sequence inductance L o . When the difference between the zero-sequence inductance L o obtained by the current calculation and the previous zero-sequence inductance L o ' exceeds the set value, it is determined that the motor is faulty and the motor is shut down for processing.
有益效果:本技术方案直接用永磁同步电机矢量控制中的参数变量,控制器数据计算量大幅度减少,永磁同步电机绕组若有故障能及时得到响应。避免重复计算,有效提高计算速度,同时降低对硬件的要求,对于在矢量控制中的永磁同步电机故障识别,简单实用有效,在任何情况下均可实现及时准确地在线故障判定。Beneficial effects: the technical scheme directly uses the parameter variables in the vector control of the permanent magnet synchronous motor, greatly reduces the calculation amount of controller data, and can respond in time if there is a fault in the permanent magnet synchronous motor winding. Avoid repeated calculations, effectively increase the calculation speed, and reduce the requirements for hardware. For the fault identification of permanent magnet synchronous motors in vector control, it is simple, practical and effective, and can realize timely and accurate online fault judgment under any circumstances.
附图说明Description of drawings
图1是本发明流程图。Fig. 1 is the flow chart of the present invention.
具体实施方式detailed description
以下结合说明书附图对本发明的技术方案做进一步的详细说明。The technical solution of the present invention will be further described in detail below in conjunction with the accompanying drawings.
电机三相坐标系到两相坐标系的变换中,两相系统与三相系统的等效是以两相系统和三相系统产生相等的磁动势及相等的电流幅值为准则。In the conversion from the three-phase coordinate system of the motor to the two-phase coordinate system, the equivalence between the two-phase system and the three-phase system is based on the criterion that the two-phase system and the three-phase system produce equal magnetomotive force and equal current amplitude.
如图1所示,本发明包括以下步骤:As shown in Figure 1, the present invention comprises the following steps:
步骤1):计算零序电流io值;假设有零序电感Lo、则有零序磁链Ψo;利用永磁同步电机矢量控制运行中可以提取参数有q轴磁链d轴磁链永磁同步电机控制器AD检测所得a相电流ias、b相电流ibs和c相电流ics;由此可得零序电流io表示如下Step 1): Calculate the zero-sequence current i o value; assuming that there is a zero-sequence inductance L o , then there is a zero-sequence flux linkage Ψ o ; the parameters that can be extracted during the vector control operation of the permanent magnet synchronous motor are q-axis flux linkage d-axis flux linkage The permanent magnet synchronous motor controller AD detects the a-phase current i as , b-phase current i bs and c-phase current i cs ; thus the zero-sequence current i o can be expressed as follows
io=1/3(ias+ibs+ics) (式18)i o =1/3(i as +i bs +i cs ) (Formula 18)
步骤2):假设三相绕组的每一相绕组匝数为T1,并且电流的幅值相等,则根据磁动势相等原则,两项绕组每一项绕组的匝数应为3T1/2。通过将三相磁动势沿d轴与q轴方向分解可以得到两相d轴与q轴的磁动势。方程两边的共有项,如绕组匝数等将被消去,从而得到电流等式。则dqo与abc坐标系下电流ias、ibs、ics的关系可以写成Step 2): Assuming that the number of turns of each phase of the three-phase winding is T 1 , and the amplitude of the current is equal, then according to the principle of equal magnetomotive force, the number of turns of each of the two windings should be 3T 1 /2 . By decomposing the three-phase magnetomotive force along the d-axis and q-axis directions, the two-phase d-axis and q-axis magnetomotive forces can be obtained. Common terms on both sides of the equation, such as the number of turns of the winding, will be eliminated to obtain the current equation. Then the relationship between dqo and the current i as , i bs , i cs in the abc coordinate system can be written as
由此式可以计算得出和值;It can be calculated from this formula with value;
式中和为dqo坐标系下稳态定子交轴和直轴电流。In the formula with are the steady-state stator quadrature axis and direct axis currents in the dqo coordinate system.
步骤3):根据dqo坐标系统下的磁链和表达式,可以计算出Ld和Lq值;Step 3): According to the flux linkage under the dqo coordinate system with Expression, can calculate L d and L q value;
在dqo坐标系下的永磁同步电机的磁链表达式为The flux linkage expression of the permanent magnet synchronous motor in the dqo coordinate system is
ψo=Loio (式22)ψ o =L o i o (Formula 22)
步骤4):dqo坐标系下的磁链和ψo通过dqo到abc三相坐标系变换,可以得到电机相磁链ψas,其表达的值如下Step 4): Magnetic linkage in the dqo coordinate system and ψ o can be transformed from dqo to abc three-phase coordinate system, and the motor phase flux linkage ψ as can be obtained, and its expressed value is as follows
将dqo坐标下磁链和ψo的表达式代入到相磁链表达式中, io用相电流ias、ibs和ics表示,可以得到a相磁链的表达式,由此式计算出当前状态下永磁同步电机的Lo值;Put the dqo coordinates under the magnet link and ψ o are substituted into the phase flux linkage expression, i o is represented by phase current i as , i bs and i cs , and the expression of phase a flux linkage can be obtained, from which the L o value of the permanent magnet synchronous motor in the current state can be calculated;
步骤5):在abc三相坐标系统下a相磁链ψas可以用自感磁链和互感磁链表示,进而可以写成相应电感与电流的表达式如下Step 5): In the abc three-phase coordinate system, the a-phase flux linkage ψ as can be expressed by self-inductance flux linkage and mutual inductance flux linkage, and then can be written as the expression of corresponding inductance and current as follows
ψas=Laaias+Labibs+Lacics+Ψafsinθr (式25)ψ as =L aa i as +L ab i bs +L ac i cs +Ψ af sinθ r (Formula 25)
通过对比式24和式25可得到永磁同步电机a相自感和互感表达式为By comparing Equation 24 and Equation 25, the expression of self-inductance and mutual inductance of phase a of permanent magnet synchronous motor can be obtained as
Laa=2/3{Lo/2+(Lq+Ld)/2+((Lq-Ld)/2)cos2θr}L aa =2/3{L o /2+(L q +L d )/2+((L q -L d )/2)cos2θ r }
=Lo/3+(Lq+Ld)/3+((Lq-Ld)/3)cos2θr (式26)=L o /3+(L q +L d )/3+((L q -L d )/3)cos2θ r (Formula 26)
Lab=-2/3{-Lo/2+(Lq+Ld)/4+((Lq-Ld)/2)}cos2(θr+30°)}L ab =-2/3{-L o /2+(L q +L d )/4+((L q -L d )/2)}cos2(θ r +30°)}
=-{-Lo/3+(Lq+Ld)/6+((Lq-Ld)/3)cos2(θr+30°)} (式27)=-{-L o /3+(L q +L d )/6+((L q -L d )/3)cos2(θ r +30°)} (Formula 27)
Lac=-2/3{-Lo/2+(Lq+Ld)/4+{(Lq-Ld)/2)}cos2(θr+150°)}L ac =-2/3{-L o /2+(L q +L d )/4+{(L q -L d )/2)}cos2(θ r +150°)}
=-{-Lo/3+(Lq+Ld)/6+((Lq-Ld)/3)cos2(θr+150°)} (式28)=-{-L o /3+(L q +L d )/6+((L q -L d )/3)cos2(θ r +150°)} (Formula 28)
由以上关系式计算出永磁同步电机的自感和互感Laa、Lab和Lac值。The self-inductance and mutual inductance L aa , Lab ab and L ac values of the permanent magnet synchronous motor are calculated from the above relational formula.
步骤6)把计算所得a相自感值Laa与控制器矢量控制初始输入的永磁同步电机参数自感值或永磁同步电机控制参数辨识获得的自感值进行比较,不相等,则报a相绕组故障;Step 6) Compare the calculated self-inductance value L aa of phase a with the self-inductance value of the permanent magnet synchronous motor parameter initially input by the controller vector control or the self-inductance value obtained by the identification of the permanent magnet synchronous motor control parameter. If they are not equal, report A-phase winding failure;
步骤7)把计算所得a相互感值Lab与控制器矢量控制初始输入的永磁同步电机参数互感值或永磁同步电机控制参数辨识获得的互感值进行比较,不相等,则报b相绕组故障;Step 7) Compare the calculated a mutual inductance value Lab with the mutual inductance value of the permanent magnet synchronous motor parameter initially input by the controller vector control or the mutual inductance value obtained by the identification of the permanent magnet synchronous motor control parameter. If they are not equal, report the phase b winding Fault;
步骤8)把计算所得a相互感值Lac与控制器矢量控制初始输入的永磁同步电机参数互感值或永磁同步电机控制参数辨识获得的互感值进行比较,不相等,则报c相绕组故障。Step 8) Compare the calculated mutual inductance value L ac with the mutual inductance value of the permanent magnet synchronous motor parameter initially input by the controller vector control or the mutual inductance value obtained by the identification of the permanent magnet synchronous motor control parameter. If they are not equal, report the c-phase winding Fault.
以上图1所示的一种基于零序电感的永磁同步电机故障判定方法是本发明的具体实施例,已经体现出本发明实质性特点和进步,可根据实际的使用需要,在本发明的启示下,对其进行形状、结构等方面的等同修改,均在本方案的保护范围之列。A permanent magnet synchronous motor fault judgment method based on zero-sequence inductance shown in the above figure 1 is a specific embodiment of the present invention, which has already reflected the substantive characteristics and progress of the present invention, and can be used according to actual needs in the present invention. Under the inspiration of the present invention, the equivalent modification of its shape, structure and other aspects are all within the scope of protection of this scheme.
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