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CN114070112B - Neutral point potential fast balance control method of three-level inverter - Google Patents

Neutral point potential fast balance control method of three-level inverter Download PDF

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CN114070112B
CN114070112B CN202111353842.1A CN202111353842A CN114070112B CN 114070112 B CN114070112 B CN 114070112B CN 202111353842 A CN202111353842 A CN 202111353842A CN 114070112 B CN114070112 B CN 114070112B
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level inverter
neutral point
state
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midpoint potential
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CN114070112A (en
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王辉
王思正
粟梅
孙尧
林建亨
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Central South University
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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
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381Dispersed generators
    • 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
    • H02M7/66Conversion of AC power input into DC power output; Conversion of DC power input into AC power output with possibility of reversal
    • H02M7/68Conversion of AC power input into DC power output; Conversion of DC power input into AC power output with possibility of reversal by static converters
    • H02M7/72Conversion of AC power input into DC power output; Conversion of DC power input into AC power output with possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/79Conversion of AC power input into DC power output; Conversion of DC power input into AC power output with possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/797Conversion of AC power input into DC power output; Conversion of DC power input into AC power output with possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Inverter Devices (AREA)

Abstract

本发明提供了一种三电平逆变器的中性点电位快速平衡控制方法,该方法从代数角度出发,将复杂的调制问题转化为代数问题。在保证输入输出关系的前提下,无需额外的控制即可确保中点电位平衡,且电容参数的不对称不影响中点电位平衡效果。

The invention provides a fast balance control method for the neutral point potential of a three-level inverter. The method converts the complex modulation problem into an algebraic problem from an algebraic point of view. On the premise of ensuring the input-output relationship, the midpoint potential balance can be ensured without additional control, and the asymmetry of the capacitance parameters does not affect the effect of the midpoint potential balance.

Description

一种三电平逆变器的中性点电位快速平衡控制方法A Fast Balance Control Method for Neutral Point Potential of Three-level Inverter

技术领域technical field

本发明涉及电能变换装置领域,特别涉及一种三电平逆变器的中性点电位快速平衡控制方法。The invention relates to the field of electric energy conversion devices, in particular to a method for quickly balancing the neutral point potential of a three-level inverter.

背景技术Background technique

近年来,三电平逆变器器广泛应用于电机驱动、有源滤波、DC/AC变换器等大功率场合。在三电平逆变器的研究领域,大部分的专家学者主要从以下两个方面着手:其一是在硬件方面,对三电平逆变器的拓扑结构进行优化和创新,具体可分为中点箝位型、飞跨电容型和级联H桥型。中点箝位型又可分为二极管中点箝位型、有源中点箝位型和T 型中点箝位型。其二是对其软件算法方面的改进,重点之一就是针对其调制策略的研究。In recent years, three-level inverters have been widely used in high-power applications such as motor drives, active filters, and DC/AC converters. In the research field of three-level inverters, most experts and scholars mainly start from the following two aspects: one is to optimize and innovate the topology of three-level inverters in terms of hardware, which can be divided into Midpoint clamp type, flying capacitor type and cascaded H-bridge type. The neutral point clamping type can be divided into diode neutral point clamping type, active neutral point clamping type and T-type neutral point clamping type. The second is the improvement of its software algorithm, and one of the key points is the research on its modulation strategy.

其中,T型中点箝位型三电平逆变器因其拓扑结构和运行机理较为简单,控制策略不是特别复杂而得到了广泛的应用。然而,该拓扑也存在着一个固有的问题:该拓扑的直流侧电压是由两组等效的电容串联做支撑的,其中点电位很有可能会出现不平衡的情况,这样会一定程度上影响输出的波形质量,假如控制不得当的话,甚至有可能出现全部直流母线电压加在一个电容上的情况,对元件造成损坏。Among them, the T-type neutral-point clamped three-level inverter has been widely used because of its relatively simple topology and operating mechanism, and its control strategy is not particularly complicated. However, this topology also has an inherent problem: the DC side voltage of this topology is supported by two sets of equivalent capacitors in series, and the potential of the middle point is likely to be unbalanced, which will affect the power supply to a certain extent. If the quality of the output waveform is not properly controlled, it may even happen that the entire DC bus voltage is added to a capacitor, causing damage to the components.

为了解决中点电位不平衡的问题,很多学者对此进行了研究,从不同角度提出了自己的方案。大致上可以将其分为两类:硬件措施和软件措施。所谓的硬件措施就是在三电平逆变器拓扑上,添加额外的硬件,增加控制的自由度,维持上下电容电位一致。这种方法需要增加大量的硬件器件而使得电路复杂,功率密度减小,硬件调试难度加大,成本增加,一般不推荐使用。在软件措施中,常见的是对其调制方法进行改进。In order to solve the problem of unbalanced midpoint potential, many scholars have conducted research on it and put forward their own schemes from different angles. It can be roughly divided into two categories: hardware measures and software measures. The so-called hardware measures are to add additional hardware to the three-level inverter topology, increase the degree of freedom of control, and maintain the same potential of the upper and lower capacitors. This method needs to add a large number of hardware devices to make the circuit complex, reduce the power density, increase the difficulty of hardware debugging, and increase the cost, so it is generally not recommended. Among software measures, it is common to improve its modulation method.

发明内容Contents of the invention

为解决上述技术问题,本发明提出了一种三电平逆变器的中性点电位快速平衡控制方法,从代数角度出发,将复杂的调制问题转化为代数问题,在保证输入输出关系的前提下,无需额外的控制即可确保中点电位平衡,且电容参数的不对称不影响中点电位平衡效果。In order to solve the above technical problems, the present invention proposes a fast balance control method for the neutral point potential of a three-level inverter. From an algebraic point of view, the complex modulation problem is transformed into an algebraic problem. On the premise of ensuring the relationship between input and output Under this condition, the midpoint potential balance can be ensured without additional control, and the asymmetry of the capacitance parameters does not affect the midpoint potential balance effect.

一种三电平逆变器的中性点电位快速平衡控制方法,包括有如下步骤:A method for quickly balancing the neutral point potential of a three-level inverter, comprising the following steps:

步骤1,以T型三电平逆变器为例,使得上下母线电容容值相等,建立T型三电平逆变器的输入输出和中性点电位的开关状态平均模型;Step 1, taking the T-type three-level inverter as an example, make the capacitance values of the upper and lower busbars equal, and establish the average model of the input and output of the T-type three-level inverter and the switching state of the neutral point potential;

以交流侧电感L为状态变量,列写出T型三电平逆变器的状态方程:Taking the AC side inductance L as the state variable, write out the state equation of the T-type three-level inverter:

其中,uao,ubo,uco是以上下母线电容中点o为参考的相电压,uan,ubn,ucn是以三相交流电压中性点n为参考的相电压,ea,eb,ec为电网电压,ia,ib,ic为网侧电流,L为交流侧滤波电感,Among them, u ao , u bo , u co are the phase voltages with reference to the middle point o of the upper and lower bus capacitors, u an , ub n , u cn are the phase voltages with reference to the neutral point n of the three-phase AC voltage, e a , e b , e c are the grid voltage, ia , i b , ic are the grid side current, L is the AC side filter inductance,

对输入输出电压取开关状态平均后,有如下关系:After taking the average of the switch state for the input and output voltages, the relationship is as follows:

其中,u1,u2是直流侧两个分立电容的电压,dij(i=a,b,c;j=P,N)为三相上下桥臂开关器件的占空比,满足diP≥0,diN≥0,0≤diP+diN≤1(i=a,b,c),Among them, u 1 and u 2 are the voltages of two discrete capacitors on the DC side, and d ij (i=a,b,c; j=P,N) is the duty cycle of the three-phase upper and lower bridge arm switching devices, satisfying d iP ≥0,d iN ≥0,0≤d iP +d iN ≤1(i=a,b,c),

对中点电位取开关状态平均后,有如下关系:After taking the average of the switch state for the midpoint potential, the relationship is as follows:

步骤2,分析模型,引入自由度m和γ;Step 2, analyze the model, introduce the degrees of freedom m and γ;

引入自由度m和γi(i=a,b,c),m用来确保每个元素满足物理约束,γi(i=a,b,c)用于平衡中点电位,则每相P状态与N状态的占空比dij(i=a,b,c;j=P,N)可以写为:Introduce degrees of freedom m and γ i (i=a,b,c), m is used to ensure that each element meets the physical constraints, γ i (i=a,b,c) is used to balance the midpoint potential, then each phase P The duty cycle d ij (i=a,b,c; j=P,N) of state and N state can be written as:

将上式代入式(4),此时中点电位的开关状态平均模型简化为:Substituting the above formula into formula (4), the average model of the switching state of the midpoint potential is simplified as:

从上式可以看出,通过选取自由度γi(i=a,b,c)的值,使得中点电位平衡,It can be seen from the above formula that by selecting the value of the degree of freedom γ i (i=a,b,c), the midpoint potential is balanced,

步骤3,基于分数阶滑模控制理论,确定自由度γ的值,证明中点电位能够在有限时间平衡,给出平衡时间计算式;Step 3, based on the fractional-order sliding mode control theory, determine the value of the degree of freedom γ, prove that the midpoint potential can be balanced in a finite time, and give a calculation formula for the balance time;

基于分数阶滑模控制理论,令自由度γi(i=a,b,c)的值如式(10)所示,Based on the fractional-order sliding mode control theory, the value of the degree of freedom γ i (i=a,b,c) is shown in formula (10),

将式(10)代入式(7)可得最终的中点电位开关状态平均模型,Substituting Equation (10) into Equation (7) can obtain the final average model of the midpoint potential switch state,

对于式(11)所表示的系统,选Lyapunov函数为:For the system represented by formula (11), the Lyapunov function is selected as:

对其求导,并将式(11)代入可得:Deriving it, and substituting formula (11) into:

从而有:Thus there are:

令:make:

因为ε>0,0<α<1,则c>0,0<η<1,即存在实数c>0以及0<η<1,使得V(t)在上正定和/>在/>半负定,有限收敛时间最大值tz_max满足:Because ε>0,0<α<1, then c>0,0<η<1, that is, there are real numbers c>0 and 0<η<1, so that V(t) is upper positive definite sum /> at /> Semi-negative definite, finite convergence time maximum t z_max satisfies:

其中tz_max表示误差收敛到零所需要的最大时间,表示初始状态直流侧上下电容电压之差;Where t z_max represents the maximum time required for the error to converge to zero, Indicates the difference between the upper and lower capacitor voltages on the DC side in the initial state;

步骤4,分析上下母线电容不相等时的工况;Step 4, analyze the working conditions when the upper and lower busbar capacitances are not equal;

当上下母线电容不对称时,中点电位仍然能够平衡,When the capacitance of the upper and lower busbars is asymmetrical, the midpoint potential can still be balanced,

证明“电容不对称时,中点电位仍然能够平衡”:Prove that "when the capacitance is asymmetric, the midpoint potential can still be balanced":

当直流母线侧上下电容值不相等时,即C1≠C2时,中性点电流的开关状态平均模型可以表示为:When the upper and lower capacitance values on the DC bus side are not equal, that is, when C 1 ≠ C 2 , the average model of the switching state of the neutral point current can be expressed as:

令:make:

将式(18)代入式(17):Substitute formula (18) into formula (17):

对比式(19)和式(11)可以看出,当C1≠C2时,仍然满足有限时间收敛,因此,在电容参数不对称时,也能实现中性点电位的快速平衡;Comparing Equation (19) and Equation (11), it can be seen that when C 1 ≠ C 2 , the finite time convergence is still satisfied, therefore, when the capacitance parameters are asymmetrical, the neutral point potential can also be quickly balanced;

步骤5,确定自由度m的范围,选取m的值;Step 5, determine the range of the degree of freedom m, and select the value of m;

m用来确保在稳态每个元素满足物理约束,在稳态时,即中点电位已经平衡的情况下,由式 (7)和式(10)可知:m is used to ensure that each element satisfies the physical constraints in the steady state. In the steady state, that is, when the midpoint potential has been balanced, it can be known from equations (7) and (10):

则占空比的表达式化简为:Then the expression of the duty cycle is simplified to:

根据输入输出端不能短路和断路的要求及物理实现的限制,占空比要满足以下约束条件: According to the requirements that the input and output terminals cannot be short-circuited or disconnected and the limitations of physical implementation, the duty cycle must meet the following constraints:

将式(21)代入式(22)可得m的取值范围为:Substituting formula (21) into formula (22), the value range of m can be obtained as follows:

为了减少开关次数,这里取此时T型三电平逆变器处于线性调制区;In order to reduce the number of switches, here take At this time, the T-type three-level inverter is in the linear modulation region;

步骤6,确定零序电压的范围,选取零序电压的值;Step 6, determine the range of zero-sequence voltage, and select the value of zero-sequence voltage;

确定零序电压的范围:Determine the range of zero sequence voltage:

其中 in

对不等式(24)化简:Simplify the inequality (24):

-u1+max{uan,ubn,ucn}≤uon≤u2+min{uan,ubn,ucn} (25)-u 1 +max{u an ,u bn ,u cn }≤u on ≤u 2 +min{u an ,u bn ,u cn } (25)

这里取其中,/> Take here where, />

步骤7,将各个变量代入占空比的表达式,进而得到T型三电平逆变器所有功率开关管的开关序列;Step 7, substituting each variable into the expression of the duty cycle, and then obtaining the switching sequence of all power switch tubes of the T-type three-level inverter;

将m和γ的值代入式(6),即可得到每个占空比的最终表达式:Substituting the values of m and γ into equation (6), the final expression of each duty cycle can be obtained:

其中,在一个开关周期里,将占空比进行分配,进而得到T型三电平逆变器所有功率开关管的开关序列,当d=diP(i=a,b,c)时,代表只开通i相的上桥臂的开关管;当 d=diN(i=a,b,c)时,代表只开通i相的下桥臂的开关管;当d=diO(i=a,b,c)时,代表只开通i相与中性点相连的两个开关管。Among them, in one switching period, the duty cycle is distributed, and then the switching sequence of all power switch tubes of the T-type three-level inverter is obtained. When d=d iP (i=a,b,c), it represents Only open the switching tube of the upper bridge arm of the i phase; when d=d iN (i=a, b, c), it represents only the switching tube of the lower bridge arm of the i phase; when d=d iO (i=a ,b,c), it means that only the two switch tubes connected to the neutral point of phase i are turned on.

作为本发明的进一步改进:在步骤3中,非线性系统有限时间稳定的概念,考虑如下系统: As a further improvement of the present invention: in step 3, the concept of nonlinear system finite time stability, consider the following system:

其中:f:U0×R→Rn在U0×R连续,U0是原点x=0的一个开邻域,Where: f: U 0 ×R→R n is continuous at U 0 ×R, U 0 is an open neighborhood of the origin x=0,

对于所考虑的系统(8),基于非线性控制系统有限时间稳定性理论有如下引理:For the considered system (8), based on the finite-time stability theory of nonlinear control systems, the following lemmas are given:

引理1:考虑非线性系统(8),假定存在一个定义在原点的邻域上的光滑函数 V(x),并且存在实数c>0以及0<η<1,使得V(x)在/>上正定和/>半负定,则系统(8)的原点是有限时间稳定的,停息时间依赖于初始值x(0)=x0,其上界是:/> Lemma 1: Consider the nonlinear system (8), assuming that there exists a neighborhood defined at the origin The smooth function V(x) on , and there are real numbers c>0 and 0<η<1, so that V(x) in /> upper positive definite sum /> exist semi-negative definite, then the origin of system (8) is stable in finite time, and the rest time depends on the initial value x(0)=x 0 , and its upper bound is: />

其中:x0是原点某一开邻域中的任何一点,如果并且V(x)是径向无界的,即,当||x||→+∞时,V(x)→+∞,则系统(8)的原点是全局有限时间稳定的。Among them: x 0 is any point in an open neighborhood of the origin, if And V(x) is radially unbounded, that is, when ||x||→+∞, V(x)→+∞, then the origin of system (8) is globally finite-time stable.

作为本发明的进一步改进:在步骤3中,因为ε>0,0<α<1,则c>0,0<η<1,即存在实数 c>0以及0<η<1,使得V(t)在上正定和/>在/>半负定,因此非线性系统 (11)满足引理1的条件。As a further improvement of the present invention: in step 3, because ε>0,0<α<1, then c>0,0<η<1, that is, there are real numbers c>0 and 0<η<1, so that V( t) at upper positive definite sum /> at /> Negative semi-definite, so the nonlinear system (11) satisfies the condition of Lemma 1.

作为本发明的进一步改进:在步骤3中,由引理1可知,系统(11)是有限时间收敛的,有限收敛时间最大值tz_max满足:As a further improvement of the present invention: in step 3, it can be seen from Lemma 1 that the system (11) converges in a finite time, and the maximum value t z_max of the finite convergence time satisfies:

与现有技术相比,本发明的有益效果为:Compared with prior art, the beneficial effect of the present invention is:

本发明提出的基于代数运算的三电平逆变器的中性点电位快速平衡控制方法,从代数角度出发,将复杂的调制问题转化为代数运算问题,降低了调制复杂度,通过选取自由度m和γ的值,在满足物理约束的前提下,实现了中性点电位的快速平衡。该方法简单且具有通用型,对其他电力电子变换器的调制策略的提出具有指导作用。The neutral point potential rapid balance control method of the three-level inverter based on algebraic operation proposed by the present invention converts the complex modulation problem into an algebraic operation problem from the algebraic point of view, reduces the modulation complexity, and selects the degree of freedom The values of m and γ, under the premise of satisfying the physical constraints, realize the rapid balance of the neutral point potential. The method is simple and universal, and it can guide the proposal of modulation strategies for other power electronic converters.

附图说明Description of drawings

图1为本发明实施例的拓扑结构与控制电路硬件示意图;Fig. 1 is the schematic diagram of topology structure and control circuit hardware of the embodiment of the present invention;

图2为本发明实施例拓扑的工作原理;Fig. 2 is the working principle of the topology of the embodiment of the present invention;

图3为本发明实施例系统结构图;Fig. 3 is a system structure diagram of an embodiment of the present invention;

图4为本发明实施例上下电容相等时,系统处于单位功率因数和非单位功率因数两种工况下的稳态电网电压、电流、输出线电压和中点电位的仿真波形图a;Fig. 4 is the simulation waveform diagram a of the steady-state power grid voltage, current, output line voltage and midpoint potential when the system is in the unit power factor and non-unit power factor two working conditions when the upper and lower capacitances are equal in the embodiment of the present invention;

图5为本发明实施例上下电容相等时,系统处于单位功率因数和非单位功率因数两种工况下的稳态电网电压、电流、输出线电压和中点电位的仿真波形图b;Fig. 5 is a simulation waveform diagram b of the steady-state power grid voltage, current, output line voltage and midpoint potential when the system is in the unit power factor and non-unit power factor working conditions when the upper and lower capacitances are equal in the embodiment of the present invention;

图6为本发明实施例上下电容相等,但初始电压不相等时的中点电位的平衡过程图a;Fig. 6 is a balance process diagram a of the midpoint potential when the upper and lower capacitances are equal but the initial voltages are not equal according to the embodiment of the present invention;

图7为本发明实施例上下电容相等,但初始电压不相等时的中点电位的平衡过程图b;Fig. 7 is the balance process diagram b of the midpoint potential when the upper and lower capacitances are equal but the initial voltages are not equal according to the embodiment of the present invention;

图8为本发明实施例上下电容不相等,初始电压不相等时的中点电位的平衡过程图。Fig. 8 is a balance process diagram of the midpoint potential when the upper and lower capacitances and initial voltages are not equal according to an embodiment of the present invention.

图9为本发明实施例中T型三电平逆变器并网仿真平台系统的参数图。FIG. 9 is a parameter diagram of a grid-connected simulation platform system of a T-type three-level inverter in an embodiment of the present invention.

具体实施方式Detailed ways

为使本发明要解决的技术问题、技术方案和优点更加清楚,下面将结合附图及具体实施例进行详细描述:In order to make the technical problems, technical solutions and advantages to be solved by the present invention clearer, the following will be described in detail in conjunction with the accompanying drawings and specific embodiments:

本发明提供了一种三电平逆变器的中性点电位快速平衡控制方法,该方法从代数角度出发,将复杂的调制问题转化为代数问题。在保证输入输出关系的前提下,无需额外的控制即可确保中点电位平衡,且电容参数的不对称不影响中点电位平衡效果。The invention provides a fast balance control method for neutral point potential of a three-level inverter. The method converts complex modulation problems into algebra problems from an algebraic point of view. Under the premise of ensuring the relationship between input and output, the midpoint potential balance can be ensured without additional control, and the asymmetry of the capacitance parameters does not affect the effect of the midpoint potential balance.

一种三电平逆变器的中性点电位快速平衡控制方法,包括有如下步骤:A method for quickly balancing the neutral point potential of a three-level inverter, comprising the following steps:

步骤1,以T型三电平逆变器为例,使得上下母线电容容值相等,建立T型三电平逆变器的输入输出和中性点电位的开关状态平均模型;Step 1, taking the T-type three-level inverter as an example, make the capacitance values of the upper and lower busbars equal, and establish the average model of the input and output of the T-type three-level inverter and the switching state of the neutral point potential;

以交流侧电感L为状态变量,列写出T型三电平逆变器的状态方程:Taking the AC side inductance L as the state variable, write out the state equation of the T-type three-level inverter:

其中,uao,ubo,uco是以上下母线电容中点o为参考的相电压,uan,ubn,ucn是以三相交流电压中性点n为参考的相电压,ea,eb,ec为电网电压,ia,ib,ic为网侧电流,L为交流侧滤波电感,对输入输出电压取开关状态平均后,有如下关系:Among them, u ao , u bo , u co are the phase voltages with reference to the middle point o of the upper and lower bus capacitors, u an , u bn , u cn are the phase voltages with reference to the neutral point n of the three-phase AC voltage, e a , e b , e c are the grid voltage, i a , i b , ic are the grid side current, L is the AC side filter inductance, after taking the average of the input and output voltages, the relationship is as follows:

其中,u1,u2是直流侧两个分立电容的电压,dij(i=a,b,c;j=P,N)为三相上下桥臂开关器件的占空比,满足diP≥0,diN≥0,0≤diP+diN≤1(i=a,b,c),Among them, u 1 and u 2 are the voltages of two discrete capacitors on the DC side, and d ij (i=a,b,c; j=P,N) is the duty cycle of the three-phase upper and lower bridge arm switching devices, satisfying d iP ≥0,d iN ≥0,0≤d iP +d iN ≤1(i=a,b,c),

对中点电位取开关状态平均后,有如下关系:After taking the average of the switch state for the midpoint potential, the relationship is as follows:

步骤2,分析模型,引入自由度m和γ;Step 2, analyze the model, introduce the degrees of freedom m and γ;

引入自由度m和γi(i=a,b,c),m用来确保每个元素满足物理约束,γi(i=a,b,c)可以用于平衡中点电位,则每相P状态与N状态的占空比dij(i=a,b,c;j=P,N)可以写为:Introduce degrees of freedom m and γ i (i=a,b,c), m is used to ensure that each element meets the physical constraints, γ i (i=a,b,c) can be used to balance the midpoint potential, then each phase The duty cycle d ij (i=a,b,c; j=P,N) of P state and N state can be written as:

将上式代入式(4),此时中点电位的开关状态平均模型简化为:Substituting the above formula into formula (4), the average model of the switching state of the midpoint potential is simplified as:

从上式可以看出,通过选取自由度γi(i=a,b,c)的值,使得中点电位平衡,It can be seen from the above formula that by selecting the value of the degree of freedom γ i (i=a,b,c), the midpoint potential is balanced,

步骤3,基于分数阶滑模控制理论,确定自由度γ的值,证明中点电位能够在有限时间平衡,给出平衡时间计算式;Step 3, based on the fractional-order sliding mode control theory, determine the value of the degree of freedom γ, prove that the midpoint potential can be balanced in a finite time, and give a calculation formula for the balance time;

基于分数阶滑模控制理论,令自由度γi(i=a,b,c)的值如式(10)所示,Based on the fractional-order sliding mode control theory, the value of the degree of freedom γ i (i=a,b,c) is shown in formula (10),

将式(10)代入式(7)可得最终的中点电位开关状态平均模型,Substituting Equation (10) into Equation (7) can obtain the final average model of the midpoint potential switch state,

对于式(11)所表示的系统,选Lyapunov函数为:For the system represented by formula (11), the Lyapunov function is selected as:

对其求导,并将式(11)代入可得:Deriving it, and substituting formula (11) into:

从而有:Thus there are:

令:make:

因为ε>0,0<α<1,则c>0,0<η<1,即存在实数c>0以及0<η<1,使得V(t)在上正定和/>在/>半负定,有限收敛时间最大值tz_max满足:Because ε>0,0<α<1, then c>0,0<η<1, that is, there are real numbers c>0 and 0<η<1, so that V(t) is upper positive definite sum /> at /> Semi-negative definite, finite convergence time maximum t z_max satisfies:

其中tz_max表示误差收敛到零所需要的最大时间,表示初始状态直流侧上下电容电压之差;Where t z_max represents the maximum time required for the error to converge to zero, Indicates the difference between the upper and lower capacitor voltages on the DC side in the initial state;

步骤4,分析上下母线电容不相等时的工况;Step 4, analyze the working conditions when the upper and lower busbar capacitances are not equal;

当上下母线电容不对称时,中点电位仍然能够平衡,When the capacitance of the upper and lower busbars is asymmetrical, the midpoint potential can still be balanced,

证明“电容不对称时,中点电位仍然能够平衡”:Prove that "when the capacitance is asymmetric, the midpoint potential can still be balanced":

当直流母线侧上下电容值不相等时,即C1≠C2时,中性点电流的开关状态平均模型可以表示为:When the upper and lower capacitance values on the DC bus side are not equal, that is, when C 1 ≠ C 2 , the average model of the switching state of the neutral point current can be expressed as:

令:make:

将式(18)代入式(17):Substitute formula (18) into formula (17):

对比式(19)和式(11)可以看出,当C1≠C2时,仍然满足有限时间收敛,因此,在电容参数不对称时,也能实现中性点电位的快速平衡;Comparing Equation (19) and Equation (11), it can be seen that when C 1 ≠ C 2 , the finite time convergence is still satisfied, therefore, when the capacitance parameters are asymmetrical, the neutral point potential can also be quickly balanced;

步骤5,确定自由度m的范围,选取m的值;Step 5, determine the range of the degree of freedom m, and select the value of m;

m用来确保在稳态每个元素满足物理约束,在稳态时,即中点电位已经平衡的情况下,由式 (7)和式(10)可知:m is used to ensure that each element satisfies the physical constraints in the steady state. In the steady state, that is, when the midpoint potential has been balanced, it can be known from equations (7) and (10):

则占空比的表达式化简为:Then the expression of the duty cycle is simplified to:

根据输入输出端不能短路和断路的要求及物理实现的限制,占空比要满足以下约束条件: According to the requirements that the input and output terminals cannot be short-circuited or disconnected and the limitations of physical implementation, the duty cycle must meet the following constraints:

将式(21)代入式(22)可得m的取值范围为:Substituting formula (21) into formula (22), the value range of m can be obtained as follows:

为了减少开关次数,这里取此时T型三电平逆变器处于线性调制区;In order to reduce the number of switches, here take At this time, the T-type three-level inverter is in the linear modulation region;

步骤6,确定零序电压的范围,选取零序电压的值;Step 6, determine the range of zero-sequence voltage, and select the value of zero-sequence voltage;

确定零序电压的范围:Determine the range of zero sequence voltage:

其中 in

对不等式(24)化简:Simplify the inequality (24):

-u1+max{uan,ubn,ucn}≤uon≤u2+min{uan,ubn,ucn} (25)-u 1 +max{u an ,u bn ,u cn }≤u on ≤u 2 +min{u an ,u bn ,u cn } (25)

这里取其中,/> Take here where, />

步骤7,将各个变量代入占空比的表达式,进而得到T型三电平逆变器所有功率开关管的开关序列;Step 7, substituting each variable into the expression of the duty cycle, and then obtaining the switching sequence of all power switch tubes of the T-type three-level inverter;

将m和γ的值代入式(6),即可得到每个占空比的最终表达式:Substituting the values of m and γ into equation (6), the final expression of each duty cycle can be obtained:

其中,在一个开关周期里,将占空比进行分配,进而得到T型三电平逆变器所有功率开关管的开关序列,当d=diP(i=a,b,c)时,代表只开通i相的上桥臂的开关管;当 d=diN(i=a,b,c)时,代表只开通i相的下桥臂的开关管;当d=diO(i=a,b,c)时,代表只开通i相与中性点相连的两个开关管。Among them, in one switching period, the duty cycle is distributed, and then the switching sequence of all power switch tubes of the T-type three-level inverter is obtained. When d=d iP (i=a,b,c), it represents Only open the switching tube of the upper bridge arm of the i phase; when d=d iN (i=a, b, c), it represents only the switching tube of the lower bridge arm of the i phase; when d=d iO (i=a ,b,c), it means that only the two switch tubes connected to the neutral point of phase i are turned on.

下面以一个案例进行说明。A case is described below.

为了验证所提基于代数运算的三电平逆变器的中性点电位快速平衡控制方法的有效性,搭建T型三电平逆变器并网仿真平台,系统的参数如图9所示,In order to verify the effectiveness of the proposed neutral point potential rapid balance control method based on algebraic operations for three-level inverters, a T-type three-level inverter grid-connected simulation platform was built. The system parameters are shown in Figure 9.

图1为本发明实施例的拓扑结构与控制电路硬件示意图。包括以下5个部分:交流大电网1、三相桥臂2、中性点三路双向开关3、直流侧上下电容4、直流电源5;三相桥臂中点通过滤波电感与电网相连,三相桥臂中点通过双向开关与直流侧上下电容中性点相连。控制电路硬件部分包括控制器7、驱动电路8、及相应的采样调理电路6。采样电路6的左边部分负责网侧电压和电流的采样和调理,采样电路6的右边部分负责直流侧上下电容C1、C2两端电压的采样和调理。控制器7负责运算处理,并把各个开关管的 PWM控制信号传递给驱动电路8,从而去驱动各个开关,使其导通或关断。FIG. 1 is a schematic diagram of topology structure and control circuit hardware of an embodiment of the present invention. Including the following five parts: AC power grid 1, three-phase bridge arm 2, neutral point three-way bidirectional switch 3, DC side upper and lower capacitors 4, DC power supply 5; the midpoint of the three-phase bridge arm is connected to the power grid through a filter inductor, and the three The midpoint of the phase bridge arm is connected to the neutral point of the upper and lower capacitors on the DC side through a bidirectional switch. The hardware part of the control circuit includes a controller 7 , a drive circuit 8 , and a corresponding sampling conditioning circuit 6 . The left part of the sampling circuit 6 is responsible for sampling and conditioning the voltage and current on the grid side, and the right part of the sampling circuit 6 is responsible for sampling and conditioning the voltages across the upper and lower capacitors C 1 and C 2 on the DC side. The controller 7 is responsible for calculation and processing, and transmits the PWM control signals of each switch tube to the drive circuit 8, so as to drive each switch to turn it on or off.

图2为本发明实施例拓扑的工作原理。规定电流流向电网为电流正方向,电流大于零,流出电网为负方向,电流小于零。在一个开关周期里,T型三电平逆变器有三种运行状态:以A相为例,第一种工作状态:当d=daP时,上桥臂开关Sap开通,双向开关 Sao和下桥臂开关San关断,此时输出电压uao=u1,对应P状态,当电流ia>0时,此时的电流通路为图2中的通路(1),当电流ia<0时,此时的电流通路为图2中的通路 (2);第二种工作状态:当d=dao时,双向开关Sao开通,上桥臂开关Sap和下桥臂开关 San关断,此时输出电压uao=0,对应O状态,当电流ia>0时,此时的电流通路为图2 中的通路(3),当电流ia<0时,此时的电流通路为图2中的通路(4);第三种工作状态:当d=dan时,下桥臂开关San开通,双向开关Sao和上桥臂开关Sap关断,此时输出电压为uao=-u2,对应N状态,当电流ia>0时,此时的电流通路为图2中的通路(5),当电流ia<0时,此时的电流通路为图2中的通路(6)。Fig. 2 is the working principle of the topology of the embodiment of the present invention. It is stipulated that the current flowing to the grid is the positive direction of the current, the current is greater than zero, and the negative direction of the current flowing out of the grid is less than zero. In one switching cycle, the T-type three-level inverter has three operating states: Take phase A as an example, the first operating state: when d=d aP , the upper bridge arm switch S ap is turned on, and the bidirectional switch S ao and the switch S an of the lower bridge arm is turned off, at this time the output voltage u ao =u 1 , corresponding to the P state, when the current i a >0, the current path at this time is the path (1) in Figure 2, when the current i When a <0, the current path at this time is the path (2) in Figure 2; the second working state: when d=d ao , the bidirectional switch S ao is turned on, the upper bridge arm switch S ap and the lower bridge arm switch S an is turned off, at this time the output voltage u ao = 0, corresponding to the O state, when the current ia > 0, the current path at this time is the path (3) in Figure 2, when the current ia < 0, this The current path is the path (4) in Figure 2; the third working state: when d=d an , the lower bridge arm switch S an is turned on, the bidirectional switch S ao and the upper bridge arm switch S ap are turned off, and the When the output voltage is u ao =-u 2 , corresponding to the N state, when the current i a >0, the current path at this time is the path (5) in Figure 2, and when the current i a <0, the current current at this time The path is path (6) in Fig. 2 .

图3为本发明实施例系统结构图。T型三电平逆变器的状态方程如式(1)所示,考虑电感的寄生电阻r,可得新的状态方程为:Fig. 3 is a system structure diagram of the embodiment of the present invention. The state equation of the T-type three-level inverter is shown in formula (1). Considering the parasitic resistance r of the inductor, the new state equation can be obtained as:

对其进行dq变换后,可得:After performing dq transformation on it, we can get:

对上述T型三电平逆变器的模型设计控制方案:设D、Q分别为d轴和q轴电流环的输出,当采用PI补偿网络时:The model design control scheme for the above T-type three-level inverter: Let D and Q be the outputs of the d-axis and q-axis current loops respectively. When the PI compensation network is used:

定义D、Q为:Define D and Q as:

D=ud0_ref+ωLfiq-ud D=u d0_ref +ωL f i q -u d

Q=uq0_ref-ωLfid-uq (30)Q=u q0_ref -ωL f i d -u q (30)

则在dq坐标下电压参考值的表达式为:Then the expression of the voltage reference value under dq coordinates is:

对其进行dq反变换,即可得到三相坐标系下的电压参考值ua_ref、ub_ref、uc_ref,即初始的调制波,为了提高直流侧电压利用率,需要在初始调制波上叠加零序分量uo,得到新的调制波u* a_ref、u* b_ref、u* c_refPerform dq inverse transformation on it to get the voltage reference values u a_ref , u b_ref , u c_ref in the three-phase coordinate system, that is, the initial modulation wave. In order to improve the DC side voltage utilization rate, it is necessary to superimpose zero on the initial modulation wave sequence component u o to get new modulation waves u * a_ref , u * b_ref , u * c_ref .

其中, in,

为了在稳态情况下满足占空比的约束,令自由度m的值为: In order to satisfy the constraint of the duty cycle in the steady state, let the value of the degree of freedom m be:

基于分数阶滑模控制理论,使得中点电位偏差在有限时间收敛,令自由度γi(i=a,b,c)的值如式(33)所示,Based on the fractional-order sliding mode control theory, the midpoint potential deviation converges in a finite time, and the value of the degree of freedom γ i (i=a,b,c) is shown in formula (33),

由自由度m和γi(i=a,b,c)算出每一相各状态的占空比,如式(34)所示。The duty cycle of each phase and state is calculated from the degrees of freedom m and γ i (i=a, b, c), as shown in formula (34).

在一个开关周期里,将占空比进行分配,进而得到T型三电平逆变器所有功率开关管的开关序列。In one switching cycle, the duty cycle is distributed, and then the switching sequences of all power switching tubes of the T-type three-level inverter are obtained.

图4和图5分别为在上下电容相等时,系统处于单位功率因数工况下和非单位功率因数下的稳态电网电压、电流、输出线电压和中点电位的仿真波形图。在t=0.09s之前,电网电流超前电压π/6;在t=0.09s之后,电网电流滞后电压π/6。综合图4和图5可以看出,无论是单位功率因数还是非单位功率因数,电网电流服从于给定,输出线电压呈现三电平的特性,中点电位总是在0.3V内波动。这证明了本发明能够很好的抑制中点电位的波动。Figure 4 and Figure 5 are the simulation waveform diagrams of the steady-state grid voltage, current, output line voltage and midpoint potential under the unit power factor and non-unity power factor conditions when the upper and lower capacitances are equal. Before t=0.09s, the grid current leads the voltage by π/6; after t=0.09s, the grid current lags the voltage by π/6. Combining Figure 4 and Figure 5, it can be seen that whether it is a unit power factor or a non-unit power factor, the grid current is subject to a given, the output line voltage presents a three-level characteristic, and the midpoint potential always fluctuates within 0.3V. This proves that the present invention can well suppress the fluctuation of the midpoint potential.

图6和图7为本发明实施例上下电容相等,但初始电压不相等时的中点电位的平衡过程图。假设直流侧电容电压初始状态存在50V的偏差,如图5所示,当收敛系数ε=1,α=0.5时,误差收敛到零的时间大约为0.008s,如图6所示,当收敛系数ε=2,α=0.6时,误差收敛到零的时间大约为0.0035s。综上可以看出,可以通过调节收敛系数的值,改变系统的收敛时间,并且这个收敛时间总是小于由式(16)算出来的理论最大值。FIG. 6 and FIG. 7 are balance process diagrams of the midpoint potential when the upper and lower capacitances are equal but the initial voltages are not equal in the embodiment of the present invention. Assuming that there is a 50V deviation in the initial state of the capacitor voltage on the DC side, as shown in Figure 5, when the convergence coefficient ε=1, α=0.5, the time for the error to converge to zero is about 0.008s, as shown in Figure 6, when the convergence coefficient When ε=2, α=0.6, the time for the error to converge to zero is about 0.0035s. In summary, it can be seen that the convergence time of the system can be changed by adjusting the value of the convergence coefficient, and this convergence time is always less than the theoretical maximum value calculated by formula (16).

图8为本发明实施例上下电容不相等,初始电压不相等时的中点电位的平衡过程图。当上下电容不相等时(C1=600μF,C2=400μF),在初始状态上下电容两端会存在一个比较大的电压偏差,大小取决于其容值的差异。从图8可以看出,在这种工况下,这个偏差也会很快的收敛到零,收敛时间大约是0.017s,也在其理论的范围之内。综上可知,电容参数的不对称也不会影响中点电位平衡效果。Fig. 8 is a balance process diagram of the midpoint potential when the upper and lower capacitances and initial voltages are not equal according to an embodiment of the present invention. When the upper and lower capacitors are not equal (C 1 =600μF, C 2 =400μF), there will be a relatively large voltage deviation between the two ends of the upper and lower capacitors in the initial state, and the magnitude depends on the difference in capacitance. It can be seen from Figure 8 that under this working condition, this deviation will quickly converge to zero, and the convergence time is about 0.017s, which is also within the theoretical range. In summary, the asymmetry of capacitance parameters will not affect the midpoint potential balance effect.

以上所述是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明所述原理的前提下,还可以作出若干改进和润饰,这些改进和润饰也应视为本发明的保护范围。The above description is a preferred embodiment of the present invention, it should be pointed out that for those of ordinary skill in the art, without departing from the principle of the present invention, some improvements and modifications can also be made, and these improvements and modifications can also be made. It should be regarded as the protection scope of the present invention.

Claims (4)

1.一种三电平逆变器的中性点电位快速平衡控制方法,其特征在于:包括有如下步骤:1. a neutral point potential quick balance control method of a three-level inverter, is characterized in that: comprise the following steps: 步骤1,对于T型三电平逆变器,使得上下母线电容容值相等,建立T型三电平逆变器的输入输出和中性点电位的开关状态平均模型;Step 1, for the T-type three-level inverter, make the capacitance values of the upper and lower busbars equal, and establish the average model of the input and output of the T-type three-level inverter and the switching state of the neutral point potential; 以交流侧电感L为状态变量,列写出T型三电平逆变器的状态方程:Taking the AC side inductance L as the state variable, write out the state equation of the T-type three-level inverter: 其中,uao,ubo,uco是以上下母线电容中点o为参考的相电压,uan,ubn,ucn是以三相交流电压中性点n为参考的相电压,ea,eb,ec为电网电压,ia,ib,ic为网侧电流,L为交流侧滤波电感,Among them, u ao , u bo , u co are the phase voltages with reference to the middle point o of the upper and lower busbar capacitors, u an , u bn , u cn are the phase voltages with reference to the neutral point n of the three-phase AC voltage, e a , e b , e c are the grid voltage, ia , i b , ic are the grid side current, L is the AC side filter inductance, 对输入输出电压取开关状态平均后,有如下关系:After taking the average of the switch state for the input and output voltages, the relationship is as follows: 其中,u1,u2是直流侧两个分立电容的电压,dij(i=a,b,c;j=P,N)为三相上下桥臂开关器件的占空比,满足diP≥0,diN≥0,0≤diP+diN≤1(i=a,b,c),Among them, u 1 and u 2 are the voltages of two discrete capacitors on the DC side, and d ij (i=a,b,c; j=P,N) is the duty cycle of the three-phase upper and lower bridge arm switching devices, satisfying d iP ≥0,d iN ≥0,0≤d iP +d iN ≤1(i=a,b,c), 对中点电位取开关状态平均后,有如下关系:After taking the average of the switch state for the midpoint potential, the relationship is as follows: 步骤2,分析模型,引入自由度m和γ;Step 2, analyze the model, introduce the degrees of freedom m and γ; 引入自由度m和γi(i=a,b,c),m用来确保每个元素满足物理约束,γi(i=a,b,c)用于平衡中点电位,则每相P状态与N状态的占空比dij(i=a,b,c;j=P,N)可以写为:Introduce degrees of freedom m and γ i (i=a,b,c), m is used to ensure that each element meets the physical constraints, γ i (i=a,b,c) is used to balance the midpoint potential, then each phase P The duty cycle d ij (i=a,b,c; j=P,N) of state and N state can be written as: 将上式代入式(4),此时中点电位的开关状态平均模型简化为:Substituting the above formula into formula (4), the average model of the switching state of the midpoint potential is simplified as: 从上式可以看出,通过选取自由度γi(i=a,b,c)的值,使得中点电位平衡,It can be seen from the above formula that by selecting the value of the degree of freedom γ i (i=a,b,c), the midpoint potential is balanced, 步骤3,基于分数阶滑模控制理论,确定自由度γ的值,证明中点电位能够在有限时间平衡,给出平衡时间计算式;Step 3, based on the fractional-order sliding mode control theory, determine the value of the degree of freedom γ, prove that the midpoint potential can be balanced in a finite time, and give a calculation formula for the balance time; 基于分数阶滑模控制理论,令自由度γi(i=a,b,c)的值如式(10)所示,Based on the fractional-order sliding mode control theory, the value of the degree of freedom γ i (i=a,b,c) is shown in formula (10), 将式(10)代入式(7)可得最终的中点电位开关状态平均模型,Substituting Equation (10) into Equation (7) can obtain the final average model of the midpoint potential switch state, 对于式(11)所表示的系统,选Lyapunov函数为:For the system represented by formula (11), the Lyapunov function is selected as: 对其求导,并将式(11)代入可得:Deriving it, and substituting formula (11) into: 从而有:Thus there are: 令:make: 因为ε>0,0<α<1,则c>0,0<η<1,即存在实数c>0以及0<η<1,使得V(t)在上正定和/>在/>半负定,Because ε>0,0<α<1, then c>0,0<η<1, that is, there are real numbers c>0 and 0<η<1, so that V(t) is upper positive definite sum /> at /> half negative definite, 有限收敛时间最大值tz_max满足:The finite convergence time maximum value t z_max satisfies: 其中tz_max表示误差收敛到零所需要的最大时间, 表示初始状态直流侧上下电容电压之差;Where t z_max represents the maximum time required for the error to converge to zero, Indicates the difference between the upper and lower capacitor voltages on the DC side in the initial state; 步骤4,分析上下母线电容不相等时的工况;Step 4, analyze the working conditions when the upper and lower busbar capacitances are not equal; 当上下母线电容不对称时,中点电位仍然能够平衡,When the capacitance of the upper and lower busbars is asymmetrical, the midpoint potential can still be balanced, 证明“电容不对称时,中点电位仍然能够平衡”:Prove that "when the capacitance is asymmetric, the midpoint potential can still be balanced": 当直流母线侧上下电容值不相等时,即C1≠C2时,中性点电流的开关状态平均模型可以表示为:When the upper and lower capacitance values on the DC bus side are not equal, that is, when C 1 ≠ C 2 , the average model of the switching state of the neutral point current can be expressed as: 令:make: 将式(18)代入式(17):Substitute formula (18) into formula (17): 对比式(19)和式(11)可以看出,当C1≠C2时,仍然满足有限时间收敛,因此,在电容参数不对称时,也能实现中性点电位的快速平衡;Comparing Equation (19) and Equation (11), it can be seen that when C 1 ≠ C 2 , the finite time convergence is still satisfied. Therefore, when the capacitance parameters are asymmetrical, the neutral point potential can also be quickly balanced; 步骤5,确定自由度m的范围,选取m的值;Step 5, determine the range of the degree of freedom m, and select the value of m; m用来确保在稳态每个元素满足物理约束,在稳态时,即中点电位已经平衡的情况下,由式(7)和式(10)可知:m is used to ensure that each element satisfies the physical constraints in the steady state. In the steady state, that is, when the midpoint potential has been balanced, it can be known from equations (7) and (10): 则占空比的表达式化简为:Then the expression of the duty cycle is simplified to: 根据输入输出端不能短路和断路的要求及物理实现的限制,占空比要满足以下约束条件:According to the requirements that the input and output terminals cannot be short-circuited or disconnected and the limitations of physical implementation, the duty cycle must meet the following constraints: 将式(21)代入式(22)可得m的取值范围为:Substituting formula (21) into formula (22), the value range of m can be obtained as follows: 为了减少开关次数,这里取此时T型三电平逆变器处于线性调制区;In order to reduce the number of switches, here take At this time, the T-type three-level inverter is in the linear modulation region; 步骤6,确定零序电压的范围,选取零序电压的值;Step 6, determine the range of zero-sequence voltage, and select the value of zero-sequence voltage; 确定零序电压的范围:Determine the range of zero sequence voltage: 其中 in 对不等式(24)化简:Simplify the inequality (24): -u1+max{uan,ubn,ucn}≤uon≤u2+min{uan,ubn,ucn} (25)-u 1 +max{u an ,u bn ,u cn }≤u on ≤u 2 +min{u an ,u bn ,u cn } (25) 这里取其中,/> Take here where, /> 步骤7,将各个变量代入占空比的表达式,进而得到T型三电平逆变器所有功率开关管的开关序列;Step 7, substituting each variable into the expression of the duty cycle, and then obtaining the switching sequence of all power switch tubes of the T-type three-level inverter; 将m和γ的值代入式(6),即可得到每个占空比的最终表达式:Substituting the values of m and γ into equation (6), the final expression of each duty cycle can be obtained: 其中,在一个开关周期里,将占空比进行分配,进而得到T型三电平逆变器所有功率开关管的开关序列,当d=diP(i=a,b,c)时,代表只开通i相的上桥臂的开关管;当d=diN(i=a,b,c)时,代表只开通i相的下桥臂的开关管;当d=diO(i=a,b,c)时,代表只开通i相与中性点相连的两个开关管。Among them, in one switching period, the duty cycle is distributed, and then the switching sequence of all power switch tubes of the T-type three-level inverter is obtained. When d=d iP (i=a,b,c), it represents Only open the switching tube of the upper bridge arm of the i phase; when d=d iN (i=a, b, c), it represents only the switching tube of the lower bridge arm of the i phase; when d=d iO (i=a ,b,c), it means that only the two switch tubes connected to the neutral point of phase i are turned on. 2.根据权利要求1所述的一种三电平逆变器的中性点电位快速平衡控制方法,其特征在于:在步骤3中,非线性系统有限时间稳定的概念,考虑如下系统:2. The neutral point potential quick balance control method of a kind of three-level inverter according to claim 1 is characterized in that: in step 3, the concept of nonlinear system finite time stability considers the following system: 其中:f:U0×R→Rn在U0×R连续,U0是原点x=0的一个开邻域,Where: f: U 0 ×R→R n is continuous at U 0 ×R, U 0 is an open neighborhood of the origin x=0, 对于所考虑的系统(8),基于非线性控制系统有限时间稳定性理论有如下引理:For the considered system (8), based on the finite-time stability theory of nonlinear control systems, the following lemmas are given: 引理1:考虑非线性系统(8),假定存在一个定义在原点的邻域上的光滑函数V(x),并且存在实数c>0以及0<η<1,使得V(x)在/>上正定和/>在/>半负定,则系统(8)的原点是有限时间稳定的,停息时间依赖于初始值x(0)=x0,其上界是:Lemma 1: Consider the nonlinear system (8), assuming that there exists a neighborhood defined at the origin The smooth function V(x) on , and there are real numbers c>0 and 0<η<1, so that V(x) in /> upper positive definite sum /> at /> semi-negative definite, then the origin of system (8) is stable in finite time, and the rest time depends on the initial value x(0)=x 0 , and its upper bound is: 其中:x0是原点某一开邻域中的任何一点,如果并且V(x)是径向无界的,即,当||x||→+∞时,V(x)→+∞,则系统(8)的原点是全局有限时间稳定的。Among them: x 0 is any point in an open neighborhood of the origin, if And V(x) is radially unbounded, that is, when ||x||→+∞, V(x)→+∞, then the origin of system (8) is globally finite-time stable. 3.根据权利要求2所述的一种三电平逆变器的中性点电位快速平衡控制方法,其特征在于:3. The neutral point potential quick balance control method of a kind of three-level inverter according to claim 2, is characterized in that: 在步骤3中,因为ε>0,0<α<1,则c>0,0<η<1,即存在实数c>0以及0<η<1,使得V(t)在上正定和/>在/>半负定,因此非线性系统(11)满足引理1的条件。In step 3, because ε>0,0<α<1, then c>0,0<η<1, that is, there are real numbers c>0 and 0<η<1, so that V(t) is upper positive definite sum /> at /> Negative semi-definite, so the nonlinear system (11) satisfies the condition of Lemma 1. 4.根据权利要求3所述的一种三电平逆变器的中性点电位快速平衡控制方法,其特征在于:4. The neutral point potential quick balance control method of a kind of three-level inverter according to claim 3, is characterized in that: 在步骤3中,由引理1可知,系统(11)是有限时间收敛的,有限收敛时间最大值tz_max满足:In step 3, it can be known from Lemma 1 that the system (11) converges in a finite time, and the maximum value t z_max of the finite convergence time satisfies:
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Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102761285A (en) * 2012-07-08 2012-10-31 张翔 Three-level three-phase power source transformation device capable of initiatively balancing clamp voltage of neutral points
CN103138619A (en) * 2011-12-01 2013-06-05 苏州欧姆尼克新能源科技有限公司 Zero-sequence component injection restraining neutral-point potential fluctuation method for three-phase three-level photovoltaic grid-connected inverter
CN103401452A (en) * 2013-07-26 2013-11-20 河南科技大学 VSVPWM (Virtual Space Vector Pulse Width Modulation)-based three-level inverter neutral point potential compensation balance control strategy
CN106100402A (en) * 2016-07-07 2016-11-09 西安理工大学 A kind of T-shaped three-level inverter and neutral balance control method thereof
CN107204714A (en) * 2017-05-26 2017-09-26 中南大学 Three level indirect matrix converters and control method
CN107769602A (en) * 2017-09-30 2018-03-06 中南大学 Three-level inverter neutral point potential self-balancing switching signal acquisition methods and device
CN110011322A (en) * 2019-04-17 2019-07-12 山东大学 Hybrid passive control system and method for diode-clamped three-level inverter under low voltage ride-through conditions
CN111371337A (en) * 2020-04-09 2020-07-03 中南大学 Neutral point potential balance control method for diode-clamped three-level inverter

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7215559B2 (en) * 2004-09-28 2007-05-08 Rockwell Automation Technologies, Inc. Method and apparatus to reduce common mode voltages applied to a load by a drive
JP4888817B2 (en) * 2009-03-13 2012-02-29 オムロン株式会社 Power conditioner and photovoltaic system

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103138619A (en) * 2011-12-01 2013-06-05 苏州欧姆尼克新能源科技有限公司 Zero-sequence component injection restraining neutral-point potential fluctuation method for three-phase three-level photovoltaic grid-connected inverter
CN102761285A (en) * 2012-07-08 2012-10-31 张翔 Three-level three-phase power source transformation device capable of initiatively balancing clamp voltage of neutral points
CN103401452A (en) * 2013-07-26 2013-11-20 河南科技大学 VSVPWM (Virtual Space Vector Pulse Width Modulation)-based three-level inverter neutral point potential compensation balance control strategy
CN106100402A (en) * 2016-07-07 2016-11-09 西安理工大学 A kind of T-shaped three-level inverter and neutral balance control method thereof
CN107204714A (en) * 2017-05-26 2017-09-26 中南大学 Three level indirect matrix converters and control method
CN107769602A (en) * 2017-09-30 2018-03-06 中南大学 Three-level inverter neutral point potential self-balancing switching signal acquisition methods and device
CN110011322A (en) * 2019-04-17 2019-07-12 山东大学 Hybrid passive control system and method for diode-clamped three-level inverter under low voltage ride-through conditions
CN111371337A (en) * 2020-04-09 2020-07-03 中南大学 Neutral point potential balance control method for diode-clamped three-level inverter

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
"一种基于虚拟空间矢量的三电平NPC变换器中点电位平衡控制方法";李晟等;《电力学报》;第34卷(第2期);第150-157页 *

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