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CN111082688B - A carrier-inverting stacked PWM midpoint potential balance control method - Google Patents

A carrier-inverting stacked PWM midpoint potential balance control method Download PDF

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CN111082688B
CN111082688B CN201911353333.1A CN201911353333A CN111082688B CN 111082688 B CN111082688 B CN 111082688B CN 201911353333 A CN201911353333 A CN 201911353333A CN 111082688 B CN111082688 B CN 111082688B
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CN111082688A (en
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李耀华
高瞻
葛琼璇
赵鲁
张波
王晓新
张树田
吕晓美
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Institute of Electrical Engineering of CAS
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of AC power input into DC power output; Conversion of DC power input into AC power output
    • H02M7/42Conversion of DC power input into AC power output without possibility of reversal
    • H02M7/44Conversion of DC power input into AC power output without possibility of reversal by static converters
    • H02M7/48Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/483Converters with outputs that each can have more than two voltages levels
    • H02M7/487Neutral point clamped inverters
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P27/00Arrangements or methods for the control of AC motors characterised by the kind of supply voltage
    • H02P27/04Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage
    • H02P27/06Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using DC to AC converters or inverters
    • H02P27/08Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using DC to AC converters or inverters with pulse width modulation
    • H02P27/12Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using DC to AC converters or inverters with pulse width modulation pulsing by guiding the flux vector, current vector or voltage vector on a circle or a closed curve, e.g. for direct torque control

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Abstract

A carrier reverse phase laminated PWM midpoint potential balance control method. Aiming at the condition that a three-level converter uses carrier inversion lamination PWM as a modulation strategy, when the midpoint potential deviation exceeds a limit value, firstly determining a middle vector used by the carrier inversion lamination PWM in a current phase angle region; then detecting the midpoint potential deviation value and the modulation wave and midpoint current corresponding to the medium vector, judging the product direction of the three, and sending the product direction to a PI controller to obtain a medium vector time adjustment factor delta Uneu; and controlling the action time of the medium vector by superposing the medium vector time adjustment factor delta Uneu on a modulation wave corresponding to the medium vector, thereby controlling the neutral point potential balance under the action of carrier inversion lamination PWM. The control method can control the midpoint potential deviation under the action of the carrier reverse phase laminated PWM method within a limited range, and improves the reliability of the three-level converter.

Description

一种载波反相层叠PWM中点电位平衡控制方法A carrier-inverting stacked PWM midpoint potential balance control method

技术领域technical field

本发明涉及一种中点电位平衡控制方法,尤其涉及一种载波反相层叠PWM中点电位平衡控制方法。The invention relates to a midpoint potential balance control method, in particular to a carrier inversion stacked PWM midpoint potential balance control method.

背景技术Background technique

典型的三电平变流器如三电平中点钳位(Neutral Point Clamped,NPC)变流器,其主电路拓扑如图1所示。相比于传统的两电平变流器,三电平NPC变流器通过控制三相桥臂各开关器件的导通与关断可输出三种不同的电平状态,具有输出功率大、器件电压应力低等优点;相比于级联H桥多电平拓扑,具有电路结构简单、便于背靠背运行等优点。基于以上优点,三电平NPC变流器目前被普遍应用于中高压大功率电机的调速场合。A typical three-level converter is a three-level neutral point clamp (Neutral Point Clamped, NPC) converter, and its main circuit topology is shown in Figure 1. Compared with the traditional two-level converter, the three-level NPC converter can output three different level states by controlling the turn-on and turn-off of each switching device of the three-phase bridge arm. Compared with the cascaded H-bridge multi-level topology, it has the advantages of simple circuit structure and easy back-to-back operation. Based on the above advantages, three-level NPC converters are currently widely used in speed regulation occasions of medium and high voltage and high power motors.

共模电压为负载中性点与参考电位点之间具有高频、高幅值特性的零序电压。文献《一种基于优化电压矢量选择的电压源逆变器模型预测共模电压抑制方法》(郭磊磊,金楠,申永鹏[J].电工技术学报,2018,33(6):1347-2355.)指出,当三电平变流器应用于中高压大功率电机的调速场合时,共模电压会对牵引电机的轴承寿命和绝缘性能产生不良影响并造成电磁干扰。为延长牵引电机寿命,必须设法降低三电平变流器的共模电压。The common mode voltage is the zero-sequence voltage with high frequency and high amplitude between the neutral point of the load and the reference potential point. Literature "A Voltage Source Inverter Model Prediction Method for Common Mode Voltage Suppression Based on Optimal Voltage Vector Selection" (Guo Leilei, Jin Nan, Shen Yongpeng [J]. Journal of Electrotechnical Technology, 2018, 33(6): 1347-2355. ) pointed out that when the three-level converter is used in the speed regulation of medium-high-voltage and high-power motors, the common-mode voltage will have an adverse effect on the bearing life and insulation performance of the traction motor and cause electromagnetic interference. In order to prolong the life of the traction motor, it is necessary to try to reduce the common mode voltage of the three-level converter.

载波反相层叠PWM是一种基于载波比较的调制策略,其通过两个频率相同、相位相同,幅值等大反向的三角载波与三相调制波进行比较产生相应的PWM控制信号,并由此控制三电平变流器各桥臂功率开关器件的开通或关断。载波反相层叠PWM原理简单,易于实现,其具体原理示意图如图2所示。Carrier inversion stacked PWM is a modulation strategy based on carrier comparison. It compares two triangular carriers with the same frequency, the same phase, and the same amplitude and opposite amplitude with the three-phase modulation wave to generate the corresponding PWM control signal. This controls the turn-on or turn-off of the power switching devices of each bridge arm of the three-level converter. The principle of carrier inversion stacked PWM is simple and easy to implement. The schematic diagram of its specific principle is shown in Figure 2.

文献《Pulse width modulation for power converters:principles andpractice》(Holmes D.G,Lipo T A[M].New York:IEEE Press,2003.)指出,相比传统SPWM和SVPWM,载波反相层叠PWM可将三电平变流器的共模电压值由直流电压值的三分之一降至六分之一。故载波反相层叠PWM更符合三电平变流器对降低共模电压的要求。The document "Pulse width modulation for power converters: principles and practice" (Holmes D.G, Lipo T A[M]. New York: IEEE Press, 2003.) pointed out that compared with traditional SPWM and SVPWM, the carrier inversion stacking PWM can convert the three-level The common-mode voltage value of the converter is reduced from one-third of the DC voltage value to one-sixth. Therefore, the carrier inversion stacked PWM is more in line with the requirements of the three-level converter to reduce the common mode voltage.

除降低共模电压外,三电平变流器还需注意维持中点电位平衡,即维持三电平变流器的直流侧上端电压和下端电压的偏差值在限定范围内。不平衡的中点电位会在输出电压中产生低次谐波并使三电平变流器某半边桥臂的功率器件承受过高的电压,危及运行安全,因此必须要采取措施保证三电平变流器中点电位平衡。In addition to reducing the common-mode voltage, the three-level converter also needs to pay attention to maintaining the balance of the mid-point potential, that is, to maintain the deviation between the upper and lower voltages of the DC side of the three-level converter within a limited range. The unbalanced mid-point potential will generate low-order harmonics in the output voltage and cause the power devices of a half-side bridge arm of the three-level converter to withstand excessive voltage, which will endanger the safety of operation. Therefore, measures must be taken to ensure the three-level converter. The neutral point potential of the converter is balanced.

定义三电平变流器直流侧电压为2E,其由高到低输出的三种电平状态分别为P、O、N,对应输出电压分别为E、0、-E,则可将三电平变流器的各电压空间矢量总结于图3。图3中的各电压空间矢量依据其幅值大小和对应电平状态可分类为零矢量、P型小矢量、N型小矢量、中矢量和大矢量。其中,相同相角处的P型小矢量和N型小矢量互为冗余小矢量。表1总结了三电平变流器各电压空间矢量的具体分类情况。Define the DC side voltage of the three-level converter as 2E, the three level states of its output from high to low are P, O, N respectively, and the corresponding output voltages are E, 0, -E respectively, then the three power The individual voltage space vectors of the flat-converter are summarized in Figure 3. Each voltage space vector in FIG. 3 can be classified into zero vector, P-type small vector, N-type small vector, medium vector and large vector according to its magnitude and corresponding level state. Among them, the P-type small vector and the N-type small vector at the same phase angle are redundant small vectors to each other. Table 1 summarizes the specific classification of each voltage space vector of the three-level converter.

表1三电平变流器各电压空间矢量类型Table 1 Three-level converter voltage space vector types

Figure BDA0002335239520000021
Figure BDA0002335239520000021

现有中点电位平衡控制方法主要借助相同相位角处的P型小矢量和N型小矢量对应中点电流方向相反的原理,当出现中点电位不平衡现象时,判断三相电流的方向,然后增加有利于中点电位平衡的冗余小矢量作用时间,从而控制直流侧上端电压和下端电压重新恢复平衡。文献《混合式三电平中点电位平衡控制策略》(周京华,[J].中国电机工程学报,2013,33(24):82-89.)详细介绍了该种方法的原理。The existing midpoint potential balance control method mainly relies on the principle that the P-type small vector and the N-type small vector at the same phase angle correspond to the opposite direction of the midpoint current. Then increase the redundant small vector action time that is beneficial to the balance of the neutral point potential, so as to control the upper and lower voltages of the DC side to restore the balance. The literature "Hybrid three-level midpoint potential balance control strategy" (Zhou Jinghua, [J]. Chinese Journal of Electrical Engineering, 2013, 33(24): 82-89.) introduces the principle of this method in detail.

图4为载波反相层叠PWM在载波比12下的三相电压波形。从中分析可知,载波反相层叠PWM在0度到60度相角区域内的等效电压空间矢量序列为PNP→ONP→ONO→OOO→ONO→ONP→PNP、PNP→PNO→ONO→OOO→ONO→PNO→PNN,其在每个载波周期内只使用了小矢量ONO,而未使用对应的冗余小矢量POP。由于载波反相层叠PWM在每个载波周期内只使用了一个小矢量,故其无法利用现有重新分配冗余小矢量作用时间的方法来调控中点电位平衡。Fig. 4 is the three-phase voltage waveform of the carrier inversion stacked PWM under the carrier ratio of 12. From the analysis, it can be seen that the equivalent voltage space vector sequence of carrier inversion stacked PWM in the phase angle range of 0 degrees to 60 degrees is PNP→ONP→ONO→OOO→ONO→ONP→PNP, PNP→PNO→ONO→OOO→ONO →PNO→PNN, which only uses the small vector ONO in each carrier cycle, and does not use the corresponding redundant small vector POP. Since the carrier-inverting stacked PWM uses only one small vector in each carrier cycle, it cannot use the existing method of redistributing the action time of redundant small vectors to control the midpoint potential balance.

载波反相层叠PWM可有效降低三电平变流器的共模电压,但其无法利用现有重新分配冗余小矢量作用时间的方法来调控中点电位平衡。为在三电平变流器中更好的应用载波反相层叠PWM,需设计适用于载波反相层叠PWM的中点电位平衡控制方法。Carrier inversion stacked PWM can effectively reduce the common-mode voltage of the three-level converter, but it cannot use the existing method of redistributing redundant small vector action time to control the midpoint potential balance. In order to better apply the carrier inversion stacked PWM in the three-level converter, it is necessary to design a mid-point potential balance control method suitable for the carrier inversion stacked PWM.

发明内容SUMMARY OF THE INVENTION

为克服载波反相层叠PWM无法利用现有重新分配冗余小矢量作用时间方法进行中点电位平衡控制的缺点,本发明提出一种载波反相层叠PWM中点电位平衡控制方法。本发明可以将载波反相层叠PWM作用下的中点电位偏差控制在限定范围内,从而提高了载波反相层叠PWM作为调制策略时三电平变流器的可靠性。In order to overcome the disadvantage that the carrier anti-phase stacked PWM cannot use the existing method of redistributing redundant small vector action time to control the midpoint potential balance, the present invention proposes a carrier reversed stacked PWM midpoint potential balance control method. The invention can control the mid-point potential deviation under the action of the carrier inversion stacked PWM within a limited range, thereby improving the reliability of the three-level converter when the carrier inversion stacked PWM is used as a modulation strategy.

本发明载波反相层叠PWM中点电位平衡控制方法针对三电平变流器使用载波反相层叠PWM作为调制策略的情况,在中点电位偏差超过限定值时,首先确定当前相角区域内载波反相层叠PWM使用的中矢量;然后检测中点电位偏差值和中矢量对应的调制波、中点电流,判断三者的乘积方向,并送入PI控制器得到中矢量时间调整因子ΔUneu;通过将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上,控制中矢量的作用时间,从而在载波反相层叠PWM作用下控制中点电位平衡。The carrier anti-phase stacked PWM mid-point potential balance control method of the present invention is aimed at the case where the three-level converter uses the carrier anti-phase stacked PWM as the modulation strategy. When the mid-point potential deviation exceeds the limit value, first determine the carrier in the current phase angle area. Invert the mid-vector used by the stacked PWM; then detect the mid-point potential deviation value and the modulation wave and mid-point current corresponding to the mid-vector, determine the product direction of the three, and send it to the PI controller to obtain the mid-vector time adjustment factor ΔUneu; The mid-vector time adjustment factor ΔUneu is superimposed on the modulation wave corresponding to the mid-vector to control the action time of the mid-vector, so as to control the mid-point potential balance under the action of the carrier anti-phase stacked PWM.

在中点电位偏差超过限定值时,本发明载波反相层叠PWM中点电位平衡控制方法具体如下:When the mid-point potential deviation exceeds the limit value, the carrier anti-phase stacked PWM mid-point potential balance control method of the present invention is specifically as follows:

1、确定当前相角区域内载波反相层叠PWM使用的中矢量;1. Determine the neutral vector used by the carrier inversion stacked PWM in the current phase angle area;

本发明控制方法在中点电位偏差超过限定值时,首先确定当前相角区域内载波反相层叠PWM使用的中矢量;定义三电平变流器由高到低输出的三个电平状态分别为P、O、N,在不同相角区域内,载波反相层叠PWM使用的中矢量分别如下:In the control method of the present invention, when the mid-point potential deviation exceeds the limit value, firstly determine the mid-vector used by the carrier inversion stacked PWM in the current phase angle area; define the three level states of the three-level converter output from high to low respectively For P, O, N, in different phase angle regions, the neutral vectors used by the carrier inversion stacked PWM are as follows:

1)对于30度到90度相角区域,载波反相层叠PWM使用的中矢量为PNO;1) For the phase angle region of 30 degrees to 90 degrees, the neutral vector used by the carrier inversion stacked PWM is PNO;

2)对于90度到150度相角区域,载波反相层叠PWM使用的中矢量为PON;2) For the phase angle area of 90 degrees to 150 degrees, the neutral vector used by the carrier inversion stacked PWM is PON;

3)对于150度到210度相角区域,载波反相层叠PWM使用的中矢量为OPN;3) For the phase angle region of 150 degrees to 210 degrees, the neutral vector used by the carrier inversion stacked PWM is OPN;

4)对于210度到270度相角区域,载波反相层叠PWM使用的中矢量为NPO;4) For the phase angle region of 210 degrees to 270 degrees, the neutral vector used by the carrier inversion stacked PWM is NPO;

5)对于270度到330度相角区域,载波反相层叠PWM使用的中矢量为NOP;5) For the phase angle region of 270 degrees to 330 degrees, the neutral vector used by the carrier inversion stacked PWM is NOP;

6)对于330度到30度相角区域,载波反相层叠PWM使用的中矢量为ONP。6) For the phase angle region of 330 degrees to 30 degrees, the neutral vector used by the carrier inversion stacked PWM is ONP.

2、检测中矢量对应的调制波和中点电流;2. Detect the modulation wave and midpoint current corresponding to the vector in the detection;

本发明控制方法通过检测中点电位偏差值和中矢量对应的调制波、中点电流,判断三者的乘积方向,并送入PI控制器得到中矢量时间调整因子ΔUneu;定义中矢量对应的调制波和中点电流分别为Ux和ix,中矢量对应的调制波和中点电流检测方法如下:The control method of the present invention judges the product direction of the three by detecting the midpoint potential deviation value and the modulation wave and midpoint current corresponding to the midpoint vector, and sends it to the PI controller to obtain the midpoint vector time adjustment factor ΔUneu; the modulation corresponding to the midpoint vector is defined. The wave and mid-point current are U x and i x respectively. The modulation wave and mid-point current detection method corresponding to the mid-vector is as follows:

1)当中矢量为PNO或NPO时,有Ux=Umc,ix=ic1) When the vector is PNO or NPO, U x =U mc , i x = ic ;

2)当中矢量为PON或NOP时,有Ux=Umb,ix=ib2) When the vector is PON or NOP, U x =U mb , i x =i b ;

3)当中矢量为OPN或ONP时,有Ux=Uma,ix=ia3) When the vector is OPN or ONP, there are U x =U ma , i x = ia ;

上述检测方法中,Uma、Umb、Umc分别代表A相、B相、C相的调制波,ia、ib、ic分别为A相、B相、C相的电流。三相调制波Uma、Umb和Umc定义如下:In the above detection method, U ma , U mb , and U mc represent the modulated waves of the A-phase, B-phase, and C -phase, respectively, and i a , ib , and ic are the currents of the A-phase, B-phase, and C-phase, respectively. The three-phase modulated waves U ma , U mb and U mc are defined as follows:

Figure BDA0002335239520000041
Figure BDA0002335239520000041

对Uma、Umb和Umc定义中,Ua、Ub、Uc分别代表A相、B相、C相的正弦波,U0为零序分量。Ua、Ub、Uc和U0的定义如下:In the definition of U ma , U mb and U mc , U a , U b , and U c represent the sine waves of A-phase, B-phase, and C-phase, respectively, and U 0 is a zero-sequence component. U a , U b , U c and U 0 are defined as follows:

Figure BDA0002335239520000042
Figure BDA0002335239520000042

对Ua、Ub、Uc和U0定义中,M为标幺后的调制波幅值,ωb为角频率,Umax和Umin分别代表Ua、Ub、Uc中的最大值和最小值。In the definition of U a , U b , U c and U 0 , M is the per-unit modulated wave amplitude, ω b is the angular frequency, and U max and U min represent the maximum value of U a , U b , and U c respectively. value and minimum value.

3、检测中点电位偏差值;3. Detect the midpoint potential deviation value;

本发明控制方法通过检测中点电位偏差值和中矢量对应的调制波、中点电流,判断三者的乘积方向,并送入PI控制器得到中矢量时间调整因子ΔUneu;其中,中点电位偏差值的检测方法如下:The control method of the present invention determines the product direction of the three by detecting the midpoint potential deviation value and the modulation wave corresponding to the midpoint vector and the midpoint current, and sends it to the PI controller to obtain the midpoint vector time adjustment factor ΔUneu; wherein, the midpoint potential deviation The value is detected as follows:

ΔU=Udc1-Udc2 ΔU=U dc1 -U dc2

上式中,ΔU代表中点电位偏差值,Udc1为三电平变流器直流侧上端电压,Udc2为三电平变流器直流侧下端电压。In the above formula, ΔU represents the midpoint potential deviation value, U dc1 is the upper voltage of the DC side of the three-level converter, and U dc2 is the lower voltage of the DC side of the three-level converter.

4、将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波;4. Add the mid-vector time adjustment factor ΔUneu to the modulation wave corresponding to the mid-vector;

本发明控制方法通过将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上,控制中矢量的作用时间,从而在载波反相层叠PWM作用下控制中点电位平衡;将中矢量时间调整因子ΔUneu叠加到中矢量对应调制波的具体方式如下:The control method of the invention controls the action time of the mid-vector by superimposing the mid-vector time adjustment factor ΔUneu on the modulation wave corresponding to the mid-vector, so as to control the balance of the mid-point potential under the action of the carrier anti-phase stacked PWM; the mid-vector time adjustment factor The specific way of superimposing ΔUneu to the mid-vector corresponding to the modulated wave is as follows:

1)对于30度到90度、210度到270度相角区域,有Uma=Uma,Umb=Umb,Umc=Umc+ΔUneu;1) For the phase angle regions of 30 degrees to 90 degrees and 210 degrees to 270 degrees, there are U ma =U ma , U mb =U mb , U mc =U mc +ΔUneu;

2)对于90度到150度、270度到330度相角区域,有Uma=Uma,Umb=Umb+ΔUneu,Umc=Umc2) For the phase angle regions of 90 degrees to 150 degrees and 270 degrees to 330 degrees, there are U ma =U ma , U mb =U mb +ΔUneu, U mc =U mc ;

3)对于150度到210度、330度到30度相角区域,有Uma=Uma+ΔUneu,Umb=Umb,Umc=Umc3) For the phase angle regions of 150 degrees to 210 degrees and 330 degrees to 30 degrees, there are U ma =U ma +ΔUneu, U mb =U mb , U mc =U mc ;

上述方式中,Uma、Umb、Umc分别代表A相、B相、C相的调制波,ΔUneu为中矢量时间调整因子。In the above manner, U ma , U mb , and U mc represent the modulated waves of the A-phase, the B-phase, and the C-phase, respectively, and ΔUneu is the time adjustment factor of the medium vector.

5、将中矢量对应调制波的范围应限定为-1到1;5. The range of the modulation wave corresponding to the mid-vector should be limited to -1 to 1;

本发明控制方法通过将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上,控制中矢量的作用时间,从而在载波反相层叠PWM作用下控制中点电位平衡;其中,叠加中矢量时间调整因子ΔUneu后的中矢量对应调制波的范围应限定为-1到1,具体限定方法为:The control method of the present invention controls the action time of the mid-vector by superimposing the mid-vector time adjustment factor ΔUneu on the modulation wave corresponding to the mid-vector, so as to control the mid-point potential balance under the action of the carrier anti-phase stacked PWM; wherein, the superimposed mid-vector time The range of the modulated wave corresponding to the neutral vector after adjusting the factor ΔUneu should be limited to -1 to 1. The specific limiting method is as follows:

1)对于30度到90度、210度到270度相角区域,有:

Figure BDA0002335239520000051
1) For 30 degrees to 90 degrees, 210 degrees to 270 degrees phase angle area, there are:
Figure BDA0002335239520000051

2)对于90度到150度、270度到330度相角区域,有:

Figure BDA0002335239520000052
2) For 90 degrees to 150 degrees, 270 degrees to 330 degrees phase angle area, there are:
Figure BDA0002335239520000052

3)对于150度到210度、330度到30度相角区域,有:

Figure BDA0002335239520000053
3) For 150 degrees to 210 degrees, 330 degrees to 30 degrees phase angle area, there are:
Figure BDA0002335239520000053

上述限定方法中,Uma、Umb、Umc分别代表A相、B相、C相的调制波。In the above limiting method, U ma , U mb , and U mc represent the modulated waves of the A-phase, the B-phase, and the C-phase, respectively.

6、当三电平变流器中点电位偏差值在限定范围内时,令中矢量时间调整因子ΔUneu=0;6. When the midpoint potential deviation value of the three-level converter is within the limited range, set the time adjustment factor of the mid-vector ΔUneu=0;

本发明控制方法只在中点电位偏差超过限定值时投入使用。当三电平变流器中点电位偏差值在限定范围内时,令ΔUneu=0,不对调制波进行调整。ΔUneu为中矢量时间调整因子。The control method of the present invention is only put into use when the midpoint potential deviation exceeds the limit value. When the midpoint potential deviation value of the three-level converter is within a limited range, ΔUneu=0 is set, and the modulation wave is not adjusted. ΔUneu is the mid-vector time adjustment factor.

附图说明Description of drawings

图1三电平NPC变流器拓扑图;Fig. 1 topology diagram of three-level NPC converter;

图2载波反相层叠PWM原理图;Figure 2 Schematic diagram of carrier inversion stacked PWM;

图3三电平变流器的电压空间矢量图;Figure 3. The voltage space vector diagram of the three-level converter;

图4载波比12下,0度到60度相角区域内,载波反相层叠PWM作用下的三相电压;Figure 4. The three-phase voltage under the action of the carrier anti-phase stacked PWM in the phase angle range of 0 degrees to 60 degrees under the carrier ratio of 12;

图5相角90度到120度区域,载波反相层叠PWM使用的中矢量对应调制波上移或下移对中矢量作用时间的影响示意图;Figure 5 is a schematic diagram of the influence of the upward or downward movement of the neutral vector corresponding to the modulation wave used by the carrier inversion stacked PWM on the action time of the neutral vector in the area of the phase angle of 90 degrees to 120 degrees;

图6相角120度到150度区域,载波反相层叠PWM使用的中矢量对应调制波上移或下移对中矢量作用时间的影响示意图;Fig. 6 is a schematic diagram of the influence of the upward or downward movement of the neutral vector corresponding to the modulation wave used by the carrier anti-phase stacked PWM on the action time of the neutral vector in the area of the phase angle of 120 degrees to 150 degrees;

图7本发明一种载波反相层叠PWM中点电位平衡控制方法的具体原理图;FIG. 7 is a concrete schematic diagram of a carrier anti-phase stacked PWM midpoint potential balance control method of the present invention;

图8为实施例基波频率50Hz,调制比固定0.8,不添加中点电位平衡保护措施下的直流侧上端电压和下端电压的变化情况;FIG. 8 shows the variation of the upper and lower voltages of the DC side without adding the neutral point potential balance protection measure in the embodiment with a fundamental frequency of 50 Hz and a fixed modulation ratio of 0.8;

图9为实施例基波频率50Hz,调制比固定0.8,在本发明中点电位平衡控制方法作用下的实施例结果;其中,图9a为直流侧上端电压和下端电压的变化情况,图9b为中点电位偏差值与限定值的比较情况;FIG. 9 shows the results of the embodiment under the action of the mid-point potential balance control method of the present invention with a fundamental frequency of 50 Hz and a fixed modulation ratio of 0.8; wherein, FIG. 9 a shows the changes of the upper and lower voltages of the DC side, and FIG. 9 b shows the The comparison between the midpoint potential deviation value and the limit value;

图10为实施例基波频率50Hz,调制比0.1到1循环变化,不添加中点电位平衡保护措施下的直流侧上端电压和下端电压的变化情况;Figure 10 shows the variation of the upper and lower voltages of the DC side without adding the neutral-point potential balance protection measure, with the fundamental frequency of 50 Hz, the modulation ratio being 0.1 to 1, and the cyclic variation of the embodiment;

图11为实施例基波频率50Hz,调制比0.1到1循环变化,在本发明中点电位平衡控制方法作用下的实施例结果;其中,图11a为直流侧上端电压和下端电压的变化情况,图11b为中点电位偏差值与限定值的比较情况;图11c为循环变化的调制比。Fig. 11 is the result of the embodiment under the action of the mid-point potential balance control method of the present invention with the fundamental frequency of 50 Hz and the modulation ratio varying from 0.1 to 1; Fig. 11a is the variation of the upper and lower voltages of the DC side, Fig. 11b is the comparison of the midpoint potential deviation value and the limit value; Fig. 11c is the modulation ratio of cyclic variation.

具体实施方式Detailed ways

下面结合附图和具体实施方式对本发明作进一步说明。The present invention will be further described below with reference to the accompanying drawings and specific embodiments.

本发明载波反相层叠PWM中点电位平衡控制方法针对三电平变流器使用载波反相层叠PWM作为调制策略的情况,在中点电位偏差超过限定值时,首先确定当前相角区域内载波反相层叠PWM使用的中矢量;然后检测中点电位偏差值和中矢量对应的调制波、中点电流,判断三者的乘积方向,并送入PI控制器得到中矢量时间调整因子ΔUneu;通过将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上,控制中矢量的作用时间,从而在载波反相层叠PWM作用下控制中点电位平衡。The carrier anti-phase stacked PWM mid-point potential balance control method of the present invention is aimed at the case where the three-level converter uses the carrier anti-phase stacked PWM as the modulation strategy. When the mid-point potential deviation exceeds the limit value, first determine the carrier in the current phase angle area. Invert the mid-vector used by the stacked PWM; then detect the mid-point potential deviation value and the modulation wave and mid-point current corresponding to the mid-vector, determine the product direction of the three, and send it to the PI controller to obtain the mid-vector time adjustment factor ΔUneu; The mid-vector time adjustment factor ΔUneu is superimposed on the modulation wave corresponding to the mid-vector to control the action time of the mid-vector, so as to control the mid-point potential balance under the action of the carrier anti-phase stacked PWM.

本发明载波反相层叠PWM中点电位平衡控制方法具体如下:The carrier anti-phase stacked PWM midpoint potential balance control method of the present invention is specifically as follows:

首先判断中点电位偏差是否超过限定值,如是,执行以下步骤,如否,则设定中矢量时间调整因子ΔUneu=0。First, judge whether the mid-point potential deviation exceeds the limit value, if so, execute the following steps, if not, set the mid-vector time adjustment factor ΔUneu=0.

当中点电位偏差超过限定值时,本发明控制方法执行步骤如下:When the midpoint potential deviation exceeds the limit value, the execution steps of the control method of the present invention are as follows:

1、确定当前相角区域内载波反相层叠PWM使用的中矢量;1. Determine the neutral vector used by the carrier inversion stacked PWM in the current phase angle area;

本发明控制方法在中点电位偏差超过限定值时,首先确定当前相角区域内载波反相层叠PWM使用的中矢量。需要确定载波反相层叠PWM使用中矢量的原因如下:In the control method of the present invention, when the mid-point potential deviation exceeds the limit value, firstly, the mid-vector used by the carrier inversion stacked PWM in the current phase angle region is determined. The reasons for determining the vector in use for carrier-inverting cascaded PWM are as follows:

如果一个采样周期内,流入中点的电流与时间的乘积不等于流出中点的电流与时间的乘积,会导致直流侧上端电容和下端电容充电电压和放电电压不相等,进而造成中点电位不平衡。只有小矢量和中矢量会产生中点电流,即只有小矢量和中矢量会对中点电位产生影响,故可通过调整小矢量或中矢量的作用时间来控制中点电位的平衡。If the product of the current flowing into the midpoint and the time is not equal to the product of the current flowing out of the midpoint and the time in a sampling period, it will cause the charging voltage and discharging voltage of the upper and lower capacitors on the DC side to be unequal, resulting in the difference in the midpoint potential. balance. Only the small vector and the middle vector will generate the midpoint current, that is, only the small vector and the middle vector will affect the midpoint potential, so the balance of the midpoint potential can be controlled by adjusting the action time of the small vector or the middle vector.

由图4可知,载波反相层叠PWM在一个采样周期内的等效电压空间矢量序列为PNP→ONP→ONO→OOO。设采样周期为T,PNP、ONP、ONO和OOO在一个采样周期内的作用时间分别为TL、TM、TS和TZ,由伏秒等效原理可知:It can be seen from Figure 4 that the equivalent voltage space vector sequence of the carrier inversion stacked PWM in one sampling period is PNP→ONP→ONO→OOO. Suppose the sampling period is T, and the action times of PNP, ONP, ONO and OOO in one sampling period are T L , T M , T S and T Z respectively, and it can be known from the volt-second equivalent principle:

Figure BDA0002335239520000061
Figure BDA0002335239520000061

式(1)中,m代表调制比,θ代表相位角,T为采样周期,TL为大矢量PNP的作用时间,TM为中矢量ONP的作用时间,TS为小矢量ONO的作用时间,TZ为零矢量OOO的作用时间。分析式(1)可知,随着调制比m的增加,中矢量和大矢量的作用时间会增加,零矢量和小矢量的作用时间会减小。In formula (1), m represents the modulation ratio, θ represents the phase angle, T is the sampling period, T L is the action time of the large vector PNP, T M is the action time of the medium vector ONP, and T S is the action time of the small vector ONO , T Z is the action time of zero vector OOO. From the analysis of formula (1), it can be known that with the increase of the modulation ratio m, the action time of the medium vector and the large vector will increase, and the action time of the zero vector and the small vector will decrease.

调制比与三电平变流器输出线电压的基波幅值成正比,故中点电流会随着调制比的增加而逐渐增加。综合以上结论可知,对于载波反相层叠PWM,中矢量对中点电位的影响要比小矢量更大。故可通过控制载波反相层叠PWM对应中矢量的作用时间,来控制载波反相层叠PWM作用下的中点电位平衡。The modulation ratio is proportional to the fundamental amplitude of the output line voltage of the three-level converter, so the midpoint current will gradually increase with the increase of the modulation ratio. Based on the above conclusions, it can be seen that for the carrier inversion stacked PWM, the influence of the medium vector on the midpoint potential is greater than that of the small vector. Therefore, it is possible to control the neutral point potential balance under the action of the carrier reversed-phase stacked PWM by controlling the action time of the neutral vector corresponding to the carrier reversed-phase stacked PWM.

在不同相角区域内,载波反相层叠PWM使用的中矢量分别如下:In different phase angle regions, the mid-vectors used by the carrier inversion stacked PWM are as follows:

1)对于0度到30度相角区域,载波反相层叠PWM等效电压空间矢量序列为PNP→ONP→ONO→OOO,对应使用的中矢量为ONP;1) For the phase angle region of 0 degrees to 30 degrees, the carrier inversion stacked PWM equivalent voltage space vector sequence is PNP→ONP→ONO→OOO, and the corresponding neutral vector used is ONP;

2)对于30度到60度相角区域,载波反相层叠PWM等效电压空间矢量序列为PNP→PNO→ONO→OOO,对应使用的中矢量为PNO;2) For the phase angle region of 30 degrees to 60 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is PNP→PNO→ONO→OOO, and the corresponding neutral vector used is PNO;

3)对于60度到90度相角区域,载波反相层叠PWM等效电压空间矢量序列为PNN→PNO→POO→OOO,对应使用的中矢量为PNO;3) For the phase angle region of 60 degrees to 90 degrees, the sequence of the carrier inversion stacked PWM equivalent voltage space vector sequence is PNN→PNO→POO→OOO, and the corresponding neutral vector used is PNO;

4)对于90度到120度相角区域,载波反相层叠PWM等效电压空间矢量序列为PNN→PON→POO→OOO,对应使用的中矢量为PON;4) For the phase angle area of 90 degrees to 120 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is PNN→PON→POO→OOO, and the corresponding neutral vector used is PON;

5)对于120度到150度相角区域,载波反相层叠PWM等效电压空间矢量序列为PPN→PON→OON→OOO,对应使用的中矢量为PON;5) For the phase angle region of 120 degrees to 150 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is PPN→PON→OON→OOO, and the corresponding neutral vector used is PON;

6)对于150度到180度相角区域,载波反相层叠PWM等效电压空间矢量序列为PPN→OPN→OON→OOO,对应使用的中矢量为OPN;6) For the phase angle area of 150 degrees to 180 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is PPN→OPN→OON→OOO, and the corresponding neutral vector used is OPN;

7)对于180度到210度相角区域,载波反相层叠PWM等效电压空间矢量序列为NPN→OPN→OPO→OOO,对应使用的中矢量为OPN;7) For the phase angle region of 180 degrees to 210 degrees, the carrier inversion stacked PWM equivalent voltage space vector sequence is NPN→OPN→OPO→OOO, and the corresponding neutral vector used is OPN;

8)对于210度到240度相角区域,载波反相层叠PWM等效电压空间矢量序列为NPN→NPO→OPO→OOO,对应使用的中矢量为NPO;8) For the phase angle region of 210 degrees to 240 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is NPN→NPO→OPO→OOO, and the corresponding neutral vector used is NPO;

9)对于240度到270度相角区域,载波反相层叠PWM等效电压空间矢量序列为NPP→NPO→NOO→OOO,对应使用的中矢量为NPO;9) For the phase angle region of 240 degrees to 270 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is NPP→NPO→NOO→OOO, and the corresponding neutral vector used is NPO;

10)对于270度到300度相角区域,载波反相层叠PWM等效电压空间矢量序列为NPP→NOP→NOO→OOO,对应使用的中矢量为NOP;10) For the phase angle region of 270 degrees to 300 degrees, the carrier inversion stacked PWM equivalent voltage space vector sequence is NPP→NOP→NOO→OOO, and the corresponding neutral vector used is NOP;

11)对于300度到330度相角区域,载波反相层叠PWM等效电压空间矢量序列为NNP→NOP→OOP→OOO,对应使用的中矢量为NOP;11) For the phase angle region of 300 degrees to 330 degrees, the carrier inversion stacked PWM equivalent voltage space vector sequence is NNP→NOP→OOP→OOO, and the corresponding neutral vector used is NOP;

12)对于330度到360度相角区域,载波反相层叠PWM等效电压空间矢量序列为NNP→ONP→OOP→OOO,对应使用的中矢量为ONP。12) For the phase angle region of 330 degrees to 360 degrees, the sequence of the equivalent voltage space vector of the carrier inversion stacked PWM is NNP→ONP→OOP→OOO, and the corresponding neutral vector used is ONP.

2、检测中矢量对应的调制波和中点电流;2. Detect the modulation wave and midpoint current corresponding to the vector in the detection;

本发明控制方法通过检测中点电位偏差值和中矢量对应的调制波、中点电流,判断三者的乘积方向,并送入PI控制器得到中矢量时间调整因子ΔUneu。定义中矢量对应的调制波和中点电流分别为Ux和ix,本发明控制方法中矢量对应的调制波和中点电流检测方法如下:The control method of the present invention judges the product direction of the three by detecting the midpoint potential deviation value and the modulation wave corresponding to the midpoint vector and the midpoint current, and sends it to the PI controller to obtain the mid-vector time adjustment factor ΔUneu. The modulation wave and the midpoint current corresponding to the vector in the definition are U x and i x respectively, and the detection method of the modulation wave and the midpoint current corresponding to the vector in the control method of the present invention is as follows:

1)对于30度到90度相角区域,载波反相层叠PWM使用的中矢量为PNO,流入、流出中点相对应C相,有Ux=Umc,ix=ic1) For the phase angle region of 30 degrees to 90 degrees, the neutral vector used by the carrier anti-phase stacked PWM is PNO, and the inflow and outflow midpoints correspond to the C -phase, with U x =U mc , i x =ic ;

2)对于90度到150度相角区域,载波反相层叠PWM使用的中矢量为PON,流入、流出中点相对应B相,有Ux=Umb,ix=ib2) For the phase angle region of 90 degrees to 150 degrees, the neutral vector used by the carrier anti-phase stacked PWM is PON, and the inflow and outflow midpoints correspond to the B-phase, with U x =U mb , i x =i b ;

3)对于150度到210度相角区域,载波反相层叠PWM使用的中矢量为OPN,流入、流出中点相对应A相,有Ux=Uma,ix=ia3) For the 150 degree to 210 degree phase angle region, the mid-vector used by the carrier inversion stacked PWM is OPN, and the inflow and outflow midpoints correspond to the A-phase, with U x =U ma , i x = ia ;

4)对于210度到270度相角区域,载波反相层叠PWM使用的中矢量为NPO,流入、流出中点相对应C相,有Ux=Umc,ix=ic4) For the phase angle region of 210 degrees to 270 degrees, the neutral vector used by the carrier anti-phase stacked PWM is NPO, and the inflow and outflow midpoints correspond to the C phase, with U x =U mc , i x =ic ;

5)对于270度到330度相角区域,载波反相层叠PWM使用的中矢量为NOP,流入、流出中点相对应B相,有Ux=Umb,ix=ib5) For the phase angle region of 270 degrees to 330 degrees, the neutral vector used by the carrier anti-phase stacked PWM is NOP, and the inflow and outflow midpoints correspond to the B phase, with U x =U mb , i x =i b ;

6)对于330度到30度相角区域,载波反相层叠PWM使用的中矢量为ONP,流入、流出中点相对应A相,有Ux=Uma,ix=ia6) For the phase angle region of 330 degrees to 30 degrees, the neutral vector used by the carrier inversion stacked PWM is ONP, and the inflow and outflow midpoints correspond to the A phase, with U x =U ma , i x = ia .

上述检测方法中,Uma、Umb、Umc分别代表A相、B相、C相的调制波,ia、ib、ic分别为A相、B相、C相的电流。为提高载波反相层叠PWM作用下的直流电压利用率,载波反相层叠PWM的三相调制波Uma、Umb和Umc由三相正弦波Ua、Ub、Uc叠加特定零序分量U0得到,其具体定义如下:In the above detection method, U ma , U mb , and U mc represent the modulated waves of the A-phase, B-phase, and C -phase, respectively, and i a , ib , and ic are the currents of the A-phase, B-phase, and C-phase, respectively. In order to improve the utilization rate of DC voltage under the action of carrier anti-phase stacked PWM, the three-phase modulation waves U ma , U mb and U mc of carrier anti-phase stacked PWM are superimposed by three-phase sine waves U a , U b , U c with a specific zero sequence. The component U 0 is obtained, which is specifically defined as follows:

Figure BDA0002335239520000081
Figure BDA0002335239520000081

对Uma、Umb和Umc定义中,Ua、Ub、Uc分别代表A相、B相、C相的正弦波,U0为零序分量,M为标幺后的调制波幅值,ωb为角频率,Umax和Umin分别代表Ua、Ub、Uc中的最大值和最小值。In the definitions of U ma , U mb and U mc , U a , U b , and U c represent the sine waves of A-phase, B-phase, and C-phase, respectively, U 0 is the zero-sequence component, and M is the per-unit modulation amplitude value, ω b is the angular frequency, and U max and U min represent the maximum and minimum values of U a , U b , and U c , respectively.

3、检测中点电位偏差值;3. Detect the midpoint potential deviation value;

本发明控制方法通过检测中点电位偏差值和中矢量对应的调制波、中点电流,判断三者的乘积方向,并送入PI控制器得到中矢量时间调整因子ΔUneu。在检测得到载波反相层叠PWM等效中矢量对应的调制波和中点电流基础上,还需进一步检测中点电位偏差值。具体检测方法如下:The control method of the present invention judges the product direction of the three by detecting the midpoint potential deviation value and the modulation wave corresponding to the midpoint vector and the midpoint current, and sends it to the PI controller to obtain the mid-vector time adjustment factor ΔUneu. On the basis of detecting the modulated wave and the midpoint current corresponding to the vector in the carrier-reversed stacked PWM equivalent medium, it is necessary to further detect the midpoint potential deviation value. The specific detection method is as follows:

ΔU=Udc1-Udc2 (3)ΔU=U dc1 -U dc2 (3)

上式中,ΔU代表中点电位偏差值,Udc1为三电平变流器直流侧上端电压,Udc2为三电平变流器直流侧下端电压。In the above formula, ΔU represents the midpoint potential deviation value, U dc1 is the upper voltage of the DC side of the three-level converter, and U dc2 is the lower voltage of the DC side of the three-level converter.

4、将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波;4. Add the mid-vector time adjustment factor ΔUneu to the modulation wave corresponding to the mid-vector;

本发明控制方法通过将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上,控制中矢量的作用时间,从而在载波反相层叠PWM作用下控制中点电位平衡。利用中矢量时间调整因子ΔUneu控制中点电位平衡的原理如下:The control method of the present invention controls the action time of the mid-vector by superimposing the mid-vector time adjustment factor ΔUneu on the modulating wave corresponding to the mid-vector, so as to control the mid-point potential balance under the action of the carrier inverse-phase stacked PWM. The principle of using the mid-vector time adjustment factor ΔUneu to control the balance of the mid-point potential is as follows:

对于30度到90度相角区域,载波反相层叠PWM使用的中矢量为PNO,对应中点电流为C相电流ic。当中点电位偏差值ΔU<0时,为恢复中点电位平衡,应使三电平变流器直流侧上端电压Udc1上升。此时若ic>0,增加PNO作用时间可使Udc1上升;若ic<0,减小PNO作用时间可使Udc1上升;当中点电位偏差值ΔU>0时,为恢复中点电位平衡,应使Udc1下降。此时若ic>0,减小PNO作用时间可使Udc1下降;若ic<0,增加PNO作用时间可使Udc1下降;For the phase angle region of 30 degrees to 90 degrees, the mid-vector used by the carrier-inverting stacked PWM is PNO, and the corresponding mid-point current is the C -phase current ic . When the midpoint potential deviation value ΔU<0, in order to restore the midpoint potential balance, the upper end voltage U dc1 on the DC side of the three-level converter should be increased. At this time, if ic > 0, increasing the action time of PNO can make U dc1 rise; if ic <0, reducing the action time of PNO can make U dc1 rise; when the mid-point potential deviation value ΔU > 0, the mid-point potential is restored Balance, should make U dc1 drop. At this time, if ic > 0, reducing PNO action time can make U dc1 decrease; if ic <0, increasing PNO action time can make U dc1 decrease;

对于90度到150度相角区域,载波反相层叠PWM使用的中矢量为PON,对应中点电流为B相电流ib。当中点电位偏差值ΔU<0时,为恢复中点电位平衡,应使三电平变流器直流侧上端电压Udc1上升。此时若ib>0,增加PON作用时间可使Udc1上升;若ib<0,减小PON作用时间可使Udc1上升;当中点电位偏差值ΔU>0时,为恢复中点电位平衡,应使Udc1下降。此时若ib>0,减小PON作用时间可使Udc1下降;若ib<0,增加PON作用时间可使Udc1下降;For the phase angle region of 90 degrees to 150 degrees, the mid-vector used by the carrier-inverting stacked PWM is PON, and the corresponding mid-point current is the B-phase current ib . When the midpoint potential deviation value ΔU<0, in order to restore the midpoint potential balance, the upper end voltage U dc1 on the DC side of the three-level converter should be increased. At this time, if i b > 0, increasing the PON action time can make U dc1 rise; if i b <0, reducing the PON action time can make U dc1 rise; when the mid-point potential deviation value ΔU > 0, the mid-point potential is restored Balance, should make U dc1 drop. At this time, if i b >0, reducing the PON action time can make U dc1 decrease; if i b <0, increasing the PON action time can make U dc1 decrease;

对于150度到210度相角区域,载波反相层叠PWM使用的中矢量为OPN,对应中点电流为A相电流ia。当中点电位偏差值ΔU<0时,为恢复中点电位平衡,应使三电平变流器直流侧上端电压Udc1上升。此时若ia>0,增加OPN作用时间可使Udc1上升;若ia<0,减小OPN作用时间可使Udc1上升;当中点电位偏差值ΔU>0时,为恢复中点电位平衡,应使Udc1下降。此时若ia>0,减小OPN作用时间可使Udc1下降;若ia<0,增加OPN作用时间可使Udc1下降;For the phase angle region of 150 degrees to 210 degrees, the mid-vector used by the carrier-inverting stacked PWM is OPN, and the corresponding mid-point current is the A-phase current i a . When the midpoint potential deviation value ΔU<0, in order to restore the midpoint potential balance, the upper end voltage U dc1 on the DC side of the three-level converter should be increased. At this time, if i a >0, increasing the OPN action time can make U dc1 rise; if i a <0, reducing the OPN action time can make U dc1 rise; when the midpoint potential deviation value ΔU>0, the midpoint potential is restored Balance, should make U dc1 drop. At this time, if i a >0, reducing OPN action time can make U dc1 decrease; if i a <0, increasing OPN action time can make U dc1 decrease;

对于210度到270度相角区域,载波反相层叠PWM使用的中矢量为NPO,对应中点电流为C相电流ic。当中点电位偏差值ΔU<0时,为恢复中点电位平衡,应使三电平变流器直流侧上端电压Udc1上升。此时若ic>0,增加NPO作用时间可使Udc1上升;若ic<0,减小NPO作用时间可使Udc1上升;当中点电位偏差值ΔU>0时,为恢复中点电位平衡,应使Udc1下降。此时若ic>0,减小NPO作用时间可使Udc1下降;若ic<0,增加NPO作用时间可使Udc1下降;For the phase angle region of 210 degrees to 270 degrees, the neutral vector used by the carrier inversion stacked PWM is NPO, and the corresponding mid-point current is the C -phase current ic . When the midpoint potential deviation value ΔU<0, in order to restore the midpoint potential balance, the upper end voltage U dc1 on the DC side of the three-level converter should be increased. At this time, if ic >0, increasing the NPO action time can make U dc1 rise; if ic <0, reducing the NPO action time can make U dc1 rise; when the mid-point potential deviation value ΔU>0, the mid-point potential is restored Balance, should make U dc1 drop. At this time, if ic > 0, reducing NPO action time can make U dc1 decrease; if ic <0, increasing NPO action time can make U dc1 decrease;

对于270度到330度相角区域,载波反相层叠PWM使用的中矢量为NOP,对应中点电流为B相电流ib。当中点电位偏差值ΔU<0时,为恢复中点电位平衡,应使三电平变流器直流侧上端电压Udc1上升。此时若ib>0,增加NOP作用时间可使Udc1上升;若ib<0,减小NOP作用时间可使Udc1上升;当中点电位偏差值ΔU>0时,为恢复中点电位平衡,应使Udc1下降。此时若ib>0,减小NOP作用时间可使Udc1下降;若ib<0,增加NOP作用时间可使Udc1下降;For the phase angle region of 270 degrees to 330 degrees, the mid-vector used by the carrier-inverting stacked PWM is NOP, and the corresponding mid-point current is the B-phase current ib . When the midpoint potential deviation value ΔU<0, in order to restore the midpoint potential balance, the upper end voltage U dc1 on the DC side of the three-level converter should be increased. At this time, if i b > 0, increasing the NOP action time can make U dc1 rise; if i b <0, reducing the NOP action time can make U dc1 rise; when the mid-point potential deviation value ΔU > 0, the mid-point potential is restored Balance, should make U dc1 drop. At this time, if i b >0, reducing the NOP action time can make U dc1 decrease; if i b <0, increasing the NOP action time can make U dc1 decrease;

对于330度到30度相角区域,载波反相层叠PWM使用的中矢量为ONP,对应中点电流为A相电流ia。当中点电位偏差值ΔU<0时,为恢复中点电位平衡,应使三电平变流器直流侧上端电压Udc1上升。此时若ia>0,增加ONP作用时间可使Udc1上升;若ia<0,减小ONP作用时间可使Udc1上升;当中点电位偏差值ΔU>0时,为恢复中点电位平衡,应使Udc1下降。此时若ia>0,减小ONP作用时间可使Udc1下降;若ia<0,增加ONP作用时间可使Udc1下降。For the phase angle region of 330 degrees to 30 degrees, the mid-vector used by the carrier-inverting stacked PWM is ONP, and the corresponding mid-point current is the A-phase current i a . When the midpoint potential deviation value ΔU<0, in order to restore the midpoint potential balance, the upper end voltage U dc1 on the DC side of the three-level converter should be increased. At this time, if i a >0, increasing ONP action time can make U dc1 rise; if i a <0, reducing ONP action time can make U dc1 rise; when the midpoint potential deviation value ΔU>0, the midpoint potential is restored Balance, should make U dc1 drop. At this time, if i a >0, decreasing ONP action time can make U dc1 decrease; if i a <0, increasing ONP action time can make U dc1 decrease.

总结以上分析可知:Summarizing the above analysis, it can be concluded that:

对于任意相角区域,当中点电位偏差值ΔU与中点电流ix的乘积小于零时,增加载波反相层叠PWM对应中矢量的作用时间更利于中点电位恢复平衡;而当ΔU与ix的乘积大于零时,减小载波反相层叠PWM对应中矢量的作用时间更利于中点电位恢复平衡。For any phase angle region, when the product of the mid-point potential deviation value ΔU and the mid-point current i x is less than zero, increasing the action time of the neutral vector corresponding to the carrier anti-phase stacked PWM is more conducive to the restoration of the mid-point potential balance; and when ΔU and i x When the product of , is greater than zero, reducing the action time of the mid-vector corresponding to the carrier-inverted stacked PWM is more conducive to restoring the balance of the mid-point potential.

进一步分析将中矢量对应调制波上移或下移对中矢量作用时间的影响。以相角90度到120度区域为例,载波反相层叠PWM使用的中矢量为PON,中矢量对应调制波Umb<0,此时将中矢量对应调制波上移或下移对中矢量作用时间的影响示意图如图5:上移调制波,会导致中矢量作用时间增加,下移调制波,会导致中矢量作用时间减小。以相角120度到150度区域为例,载波反相层叠PWM使用的中矢量为PON,中矢量对应调制波Umb>0,此时将中矢量对应调制波上移或下移对中矢量作用时间的影响示意图如图6:上移调制波,会导致中矢量作用时间增加,下移调制波,会导致中矢量作用时间减小。Further analyze the effect of moving the mid-vector corresponding modulation wave up or down on the action time of the mid-vector. Taking the area of phase angle from 90 degrees to 120 degrees as an example, the neutral vector used by the carrier inversion stacked PWM is PON . The schematic diagram of the effect of the action time is shown in Figure 5: moving the modulated wave up will lead to an increase in the action time of the medium vector, and moving the modulated wave down will cause the action time of the medium vector to decrease. Taking the area of phase angle from 120 degrees to 150 degrees as an example, the neutral vector used by the carrier anti-phase stacked PWM is PON, and the neutral vector corresponds to the modulated wave U mb >0. The schematic diagram of the effect of the action time is shown in Figure 6: moving the modulated wave up will lead to an increase in the action time of the medium vector, and moving the modulated wave down will lead to a decrease in the action time of the medium vector.

同样思路分析可知,针对60度到120度、180度到240度、300度到360度相角区域,均有中矢量对应调制波的值小于零,此时将调制波上移会导致中矢量作用时间增加,下移会导致中矢量作用时间减小;针对0度到60度、120度到180度、240度到300度相角区域,均有中矢量对应调制波的值大于零,此时将调制波上移会导致中矢量作用时间减小,下移会导致中矢量作用时间增加。The analysis of the same idea shows that for the phase angle regions of 60 degrees to 120 degrees, 180 degrees to 240 degrees, and 300 degrees to 360 degrees, the value of the modulated wave corresponding to the median vector is less than zero. At this time, moving the modulated wave upward will cause the median vector The increase of the action time, the downward movement will lead to the decrease of the action time of the medium vector; for the phase angle regions of 0° to 60°, 120° to 180°, and 240° to 300°, the value of the modulated wave corresponding to the medium vector is greater than zero. When the modulating wave is moved upward, the action time of the middle vector will decrease, and moving down will cause the action time of the middle vector to increase.

中矢量对应的调制波叠加一个正值会导致调制波上移,叠加一个负值会导致调制波下移,综合以上所有分析,可得到以下结论:Adding a positive value to the modulation wave corresponding to the mid-vector will cause the modulation wave to move up, and superimposing a negative value will cause the modulation wave to move down. Combining all the above analysis, the following conclusions can be drawn:

对于任意相角区域,当中点电位偏差值ΔU与中点电流ix、中矢量对应的调制波Umx的乘积小于零时,将载波反相层叠PWM中矢量对应的调制波下移更利于中点电位恢复平衡;而当中点电位偏差值ΔU与中点电流ix、中矢量对应的调制波Umx的乘积大于零时,将载波反相层叠PWM中矢量对应的调制波上移更利于中点电位恢复平衡。For any phase angle region, when the product of the mid-point potential deviation value ΔU, the mid-point current i x , and the modulating wave U mx corresponding to the mid-point vector is less than zero, it is more beneficial to move the modulating wave corresponding to the vector in the carrier inverse stacked PWM down. When the product of the mid-point potential deviation value ΔU, the mid-point current i x , and the modulation wave U mx corresponding to the mid-point vector is greater than zero, it is more conducive to the mid- The point potential returns to equilibrium.

基于以上结论,将中点电位偏差值和中矢量对应的调制波、中点电流的乘积方向送入PI控制器得到中矢量时间调整因子ΔUneu,并将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上来控制中矢量的作用时间,可在载波反相层叠PWM作用下控制中点电位平衡。Based on the above conclusions, the product direction of the mid-point potential deviation value, the modulation wave corresponding to the mid-point vector, and the mid-point current is sent to the PI controller to obtain the mid-vector time adjustment factor ΔUneu, and the mid-vector time adjustment factor ΔUneu is superimposed on the mid-vector corresponding to The modulating wave comes up to control the action time of the mid-vector, and the mid-point potential balance can be controlled under the action of the carrier anti-phase stacked PWM.

5、将中矢量对应调制波的范围应限定为-1到1;5. The range of the modulation wave corresponding to the mid-vector should be limited to -1 to 1;

本发明控制方法通过将中矢量时间调整因子ΔUneu叠加到中矢量对应的调制波上,控制中矢量的作用时间,从而在载波反相层叠PWM作用下控制中点电位平衡;载波反相层叠PWM基于三相调制波与三角载波比较得到各功率器件的PWM信号,由于三角载波取值范围为-1到1,为防止过调制,叠加中矢量时间调整因子ΔUneu后的中矢量对应调制波的范围应限定为-1到1。The control method of the invention controls the action time of the mid-vector by superimposing the mid-vector time adjustment factor ΔUneu on the modulating wave corresponding to the mid-vector, so as to control the mid-point potential balance under the action of the carrier anti-phase laminated PWM; the carrier anti-phase laminated PWM is based on The three-phase modulated wave is compared with the triangular carrier to obtain the PWM signal of each power device. Since the value of the triangular carrier ranges from -1 to 1, in order to prevent overmodulation, the range of the modulated wave corresponding to the mid-vector after superimposing the mid-vector time adjustment factor ΔUneu should be Limited to -1 to 1.

6、当三电平变流器中点电位偏差值在限定范围内时,令中矢量时间调整因子ΔUneu=0;6. When the midpoint potential deviation value of the three-level converter is within the limited range, set the time adjustment factor of the mid-vector ΔUneu=0;

本发明控制方法只在中点电位偏差超过限定值时投入使用。当三电平变流器中点电位偏差值在限定范围内时,为提高谐波性能,令中矢量时间调整因子ΔUneu=0,不对调制波进行调整。The control method of the present invention is only put into use when the midpoint potential deviation exceeds the limit value. When the mid-point potential deviation value of the three-level converter is within a limited range, in order to improve the harmonic performance, the mid-vector time adjustment factor ΔUneu=0 is set, and the modulation wave is not adjusted.

本发明载波反相层叠PWM中点电位平衡控制方法的具体原理如图7所示。The specific principle of the carrier anti-phase stacked PWM midpoint potential balance control method of the present invention is shown in FIG. 7 .

本发明克服了载波反相层叠PWM无法利用现有重新分配冗余小矢量作用时间方法进行中点电位平衡控制的缺陷,通过上移或下移中矢量对应的调制波,本发明提出了一种适用于载波反相层叠PWM的中点电位平衡控制方法。本发明控制方法可以将载波反相层叠PWM作用下的中点电位偏差控制在限定范围内,从而提高了载波反相层叠PWM作为调制策略时三电平变流器的可靠性。The invention overcomes the defect that the carrier anti-phase stacked PWM cannot use the existing method of redistributing redundant small vector action time to control the midpoint potential balance. A mid-point potential balance control method suitable for carrier inversion stacked PWM. The control method of the invention can control the mid-point potential deviation under the action of the carrier anti-phase stacked PWM within a limited range, thereby improving the reliability of the three-level converter when the carrier anti-phase stacked PWM is used as a modulation strategy.

下面结合实施例说明本发明的实施效果。The implementation effect of the present invention will be described below in conjunction with the embodiments.

本发明实施例借助PSIM软件搭建三电平变流器模型,利用仿真验证本发明提出的一种载波反相层叠PWM中点电位平衡控制方法的有效性。仿真条件如下:The embodiment of the present invention builds a three-level converter model by means of PSIM software, and uses simulation to verify the effectiveness of a carrier-inverting stacked PWM midpoint potential balance control method proposed by the present invention. The simulation conditions are as follows:

三电平变流器所使用的调制策略为载波反相层叠PWM,仿真步长10us,采样频率1200Hz,载波频率750Hz,输出侧三相各接1Ω电阻串联5mH电感,直流侧电压为500V,其中,直流侧上端电压初值为400V,下端电压初值为100V,中点电位偏差限定值设定为30V。The modulation strategy used by the three-level converter is carrier inversion stacked PWM, the simulation step size is 10us, the sampling frequency is 1200Hz, the carrier frequency is 750Hz, the three-phase output side is connected to a 1Ω resistor in series with a 5mH inductor, and the DC side voltage is 500V, where , the initial value of the upper end voltage of the DC side is 400V, the initial value of the lower end voltage is 100V, and the limit value of the midpoint potential deviation is set to 30V.

图8为实施例基波频率50Hz,调制比固定0.8,不添加中点电位平衡保护措施下的直流侧上端电压和下端电压的变化情况。由图8可知,三电平变流器使用载波反相层叠PWM作为调制策略时,当在固定调制比下出现中点电位不平衡问题,若不添加中点电位平衡控制方法,中点电位不平衡问题会一直存在,从而对三电平变流器的安全可靠运行产生不良影响。FIG. 8 shows the variation of the upper and lower voltages of the DC side when the fundamental frequency of the embodiment is 50 Hz, the modulation ratio is fixed at 0.8, and the neutral point potential balance protection measure is not added. It can be seen from Fig. 8 that when the three-level converter uses the carrier inversion stacked PWM as the modulation strategy, when the mid-point potential imbalance problem occurs under a fixed modulation ratio, if the mid-point potential balance control method is not added, the mid-point potential will not be balanced. The balance problem will always exist, which will adversely affect the safe and reliable operation of the three-level converter.

图9为实施例基波频率50Hz,调制比固定0.8,在本发明中点电位平衡控制方法作用下的实施例结果;其中,图9a为直流侧上端电压和下端电压的变化情况,图9b为中点电位偏差值与限定值的比较情况。图9实施例结果表明,三电平变流器使用载波反相层叠PWM作为调制策略时,当在固定调制比下出现中点电位不平衡问题,使用本发明中点电位平衡控制方法,可使得直流母线上端电压和下端电压的偏差值减小到限制值内,从而使得中点电位重新恢复平衡。FIG. 9 shows the results of the embodiment under the action of the mid-point potential balance control method of the present invention with a fundamental frequency of 50 Hz and a fixed modulation ratio of 0.8; wherein, FIG. 9 a shows the changes of the upper and lower voltages of the DC side, and FIG. 9 b shows the The comparison of the midpoint potential deviation value and the limit value. The results of the embodiment shown in FIG. 9 show that when the three-level converter uses the carrier inversion stacked PWM as the modulation strategy, when the problem of midpoint potential imbalance occurs under a fixed modulation ratio, the use of the midpoint potential balance control method of the present invention can make The deviation value of the upper and lower voltages on the DC bus is reduced to within the limit value, so that the neutral point potential is restored to balance.

图10为实施例基波频率50Hz,调制比0.1到1循环变化,不添加中点电位平衡保护措施下的直流侧上端电压和下端电压的变化情况。由图10可知,三电平变流器使用载波反相层叠PWM作为调制策略时,当在循环变化的调制比下出现中点电位不平衡问题,若不添加中点电位平衡控制方法,中点电位不平衡问题会一直存在,从而对三电平变流器的安全可靠运行产生不良影响。FIG. 10 shows the variation of the upper and lower voltages of the DC side without adding the neutral point potential balance protection measure in the embodiment with a fundamental frequency of 50 Hz and a cyclic change of the modulation ratio from 0.1 to 1. It can be seen from Figure 10 that when the three-level converter uses the carrier inversion stacked PWM as the modulation strategy, when the midpoint potential imbalance problem occurs under the cyclically changing modulation ratio, if the midpoint potential balance control method is not added, the midpoint potential balance control method The potential unbalance problem will always exist, which will adversely affect the safe and reliable operation of the three-level converter.

图11为实施例基波频率50Hz,调制比0.1到1循环变化,在本发明中点电位平衡控制方法作用下的实施例结果;其中,图11a为直流侧上端电压和下端电压的变化情况,图11b为中点电位偏差值与限定值的比较情况;图11c为循环变化的调制比。图11实施例结果表明,三电平变流器使用载波反相层叠PWM作为调制策略时,当在循环变化的调制比下出现中点电位不平衡问题,使用本发明中点电位平衡控制方法,可使得直流母线上端电压和下端电压的偏差值减小到限制值内,从而使得中点电位重新恢复平衡。Fig. 11 is the result of the embodiment under the action of the mid-point potential balance control method of the present invention with the fundamental frequency of 50 Hz and the modulation ratio varying from 0.1 to 1; Fig. 11a is the variation of the upper and lower voltages of the DC side, Fig. 11b is the comparison of the midpoint potential deviation value and the limit value; Fig. 11c is the modulation ratio of cyclic variation. The results of the embodiment shown in Fig. 11 show that when the three-level converter uses the carrier inversion stacking PWM as the modulation strategy, when the mid-point potential imbalance problem occurs under the cyclically changing modulation ratio, the mid-point potential balance control method of the present invention is used, The deviation value of the upper and lower voltages of the DC bus can be reduced to within the limit value, so that the neutral point potential can be restored to balance.

如图8~图11所示,实施例的结果验证了本发明一种载波反相层叠PWM中点电位平衡控制方法的有效性。针对三电平变流器使用载波反相层叠PWM作为调制策略的情况,本发明无论调制比是否变化,均可有效控制中点电位重新恢复平衡。本发明克服了载波反相层叠PWM无法利用现有重新分配冗余小矢量作用时间方法进行中点电位平衡控制的缺陷,可以将载波反相层叠PWM作用下的中点电位偏差控制在限定范围内,从而提高了载波反相层叠PWM作为调制策略时三电平变流器的可靠性。As shown in FIG. 8 to FIG. 11 , the results of the embodiments verify the effectiveness of a method for controlling the midpoint potential balance of the carrier-inverting stacked PWM of the present invention. In view of the case where the three-level converter uses the carrier inversion stacked PWM as the modulation strategy, the present invention can effectively control the midpoint potential to restore the balance regardless of whether the modulation ratio changes. The invention overcomes the defect that the carrier anti-phase stacked PWM cannot use the existing method of redistributing redundant small vector action time to control the mid-point potential balance, and can control the mid-point potential deviation under the action of the carrier anti-phase stacked PWM within a limited range , thereby improving the reliability of the three-level converter when the carrier inversion stacked PWM is used as the modulation strategy.

Claims (8)

1. A carrier reverse phase laminated PWM midpoint potential balance control method is characterized in that: aiming at the condition that a three-level converter uses carrier inversion lamination PWM as a modulation strategy, when the midpoint potential deviation exceeds a limit value, firstly determining a middle vector used by the carrier inversion lamination PWM in a current phase angle region; then detecting the midpoint potential deviation value delta U and the modulation wave U corresponding to the medium vectorxMidpoint current i corresponding to the middle vectorxModulated wave U corresponding to vector in calculationxMidpoint current i corresponding to the middle vectorxThe product of the intermediate point potential deviation value delta U and the intermediate point potential deviation value delta U is obtained, the direction of the product of the three is judged, the direction of the product is input into a PI controller, and the output of the PI controller is the intermediate vector time adjustment factor delta Uneu; and controlling the action time of the medium vector by superposing the medium vector time adjustment factor delta Uneu on a modulation wave corresponding to the medium vector, thereby controlling the neutral point potential balance under the action of carrier inversion lamination PWM.
2. The carrier inversion lamination PWM midpoint potential balance control method according to claim 1, wherein: when the midpoint potential deviation exceeds a limit value, firstly determining a middle vector used by carrier inversion lamination PWM in a current phase angle area; defining three level states of the three-level converter from high to low output to be P, O, N respectively, in different phase angle regions, the medium vectors used by the carrier phase inversion lamination PWM are respectively as follows:
1) for a phase angle region of 30 degrees to 90 degrees, the medium vector used by the carrier inversion lamination PWM is PNO;
2) for a phase angle region of 90 degrees to 150 degrees, a middle vector used by the carrier inversion lamination PWM is PON;
3) for the phase angle region of 150 degrees to 210 degrees, the middle vector used by the carrier phase inversion lamination PWM is OPN;
4) for a phase angle region from 210 degrees to 270 degrees, the middle vector used by the carrier inversion lamination PWM is NPO;
5) for a phase angle region of 270 degrees to 330 degrees, the middle vector used by the carrier inversion lamination PWM is NOP;
6) for the 330 degree to 30 degree phase angle region, the medium vector used by the carrier inversion stacked PWM is ONP.
3. The carrier inversion lamination PWM midpoint potential balance control method according to claim 1, wherein: the method for detecting the modulation wave and the midpoint current corresponding to the medium vector comprises the following steps:
1) when the middle vector is PNO or NPO, there is Ux=Umc,ix=ic
2) When the middle vector is PON or NOP, there is Ux=Umb,ix=ib
3) When the middle vector is OPN or ONP, there is Ux=Uma,ix=ia
In the above detection method, Uma、Umb、UmcModulated waves i representing A, B and C phases, respectivelya、ib、icThe currents of the A phase, the B phase and the C phase are respectively.
4. The carrier inversion lamination PWM midpoint potential balance control method according to claim 3, wherein: modulated wave Uma、UmbAnd UmcThe definition is as follows:
Figure FDA0002662485580000021
to Uma、UmbAnd UmcIn definition, Ua、Ub、UcRepresents sine waves of A phase, B phase and C phase, U0Is a zero sequence component; u shapea、Ub、UcAnd U0Is defined as follows:
Figure FDA0002662485580000022
to Ua、Ub、UcAnd U0In the definition, M is a labelAmplitude, omega, of the modulated wave after unitarybIs angular frequency, UmaxAnd UminRespectively represents Ua、Ub、UcMaximum and minimum values of (a).
5. The carrier inversion lamination PWM midpoint potential balance control method according to claim 3, wherein: the detection method of the midpoint potential deviation value comprises the following steps:
ΔU=Udc1-Udc2
in the above formula, Δ U represents a midpoint potential deviation value, Udc1For the upper voltage, U, of the DC side of the three-level converterdc2The voltage is the lower end voltage of the direct current side of the three-level converter.
6. The carrier inversion lamination PWM midpoint potential balance control method according to claim 1, wherein: the control method controls the action time of the medium vector by superposing the medium vector time adjustment factor delta Uneu to the modulation wave corresponding to the medium vector, thereby controlling the neutral point potential balance under the action of carrier reverse phase laminated PWM; the specific way of superimposing the medium vector time adjustment factor Δ unneu to the medium vector corresponding modulation wave is as follows:
1) for the phase angle regions of 30 degrees to 90 degrees, 210 degrees to 270 degrees, there is Uma=Uma,Umb=Umb,Umc=Umc+ΔUneu;
2) For phase angle regions of 90 degrees to 150 degrees, 270 degrees to 330 degrees, there is Uma=Uma,Umb=Umb+ΔUneu,Umc=Umc
3) For the phase angle regions of 150 degrees to 210 degrees and 330 degrees to 30 degrees, there is Uma=Uma+ΔUneu,Umb=Umb,Umc=Umc
In the above mode, Uma、Umb、UmcThe modulation waves respectively represent A phase, B phase and C phase, and the delta Uneu is a medium vector time adjustment factor.
7. The carrier inversion lamination PWM midpoint potential balance control method according to claim 6, wherein: the range of the modulation wave corresponding to the intermediate vector after the intermediate vector time adjustment factor Δ unneu is defined as-1 to 1, and the specific defining method is as follows:
1) for the 30 degree to 90 degree, 210 degree to 270 degree phase angle regions, there are:
Figure FDA0002662485580000023
2) for the phase angle regions of 90 degrees to 150 degrees, 270 degrees to 330 degrees, there are:
Figure FDA0002662485580000024
3) for the phase angle region of 150 degrees to 210 degrees, 330 degrees to 30 degrees, there are:
Figure FDA0002662485580000031
in the above limiting method, Uma、Umb、UmcThe modulated waves of the A phase, B phase and C phase are represented respectively.
8. The carrier inversion lamination PWM midpoint potential balance control method according to claim 1, wherein: the control method is only put into use when the midpoint potential deviation exceeds a limit value, when the midpoint potential deviation value of the three-level converter is within a limit range, delta Uneu is made to be 0, and the modulation wave is not adjusted; Δ unneu is the medium vector time adjustment factor.
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