CN112701951A - Inverter voltage state prediction control method based on tolerant hierarchical sequence method - Google Patents

Inverter voltage state prediction control method based on tolerant hierarchical sequence method Download PDF

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CN112701951A
CN112701951A CN202110111020.6A CN202110111020A CN112701951A CN 112701951 A CN112701951 A CN 112701951A CN 202110111020 A CN202110111020 A CN 202110111020A CN 112701951 A CN112701951 A CN 112701951A
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CN112701951B (en
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樊明迪
汤宇杭
张凯
杨勇
王凯欣
顾明星
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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
    • H02M7/53Conversion 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 using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/537Conversion 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 using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
    • H02M7/5387Conversion 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 using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration

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Abstract

The invention discloses a prediction control method for the voltage state of an inverter based on a tolerant hierarchical sequence method, wherein the inverter is a clamp type three-level three-phase inverter, and the prediction control method for the voltage state comprises the following steps: creating an MPC prediction model, and predicting the output capacitor voltage and the potential difference of the neutral point at the DC side at the K +2 moment according to the MPC prediction model at the K moment; then constructing a double-layer value objective function; then, solving a first layer of objective function in a double-layer value objective function by using a tolerant hierarchical sequence method to obtain a plurality of candidate voltage state vectors, substituting the plurality of candidate voltage state vectors obtained by solving into a second layer of objective function, and optimizing and solving the second layer of objective function to obtain an optimal voltage state vector; and finally, applying the inverter switching state corresponding to the optimal voltage state vector at the moment of K +1 to carry out prediction control on the inverter. The inverter voltage state prediction control method improves the modeling rate and the control stability.

Description

基于宽容分层序列法的逆变器电压状态预测控制方法Inverter Voltage State Predictive Control Method Based on Tolerant Hierarchical Sequence Method

技术领域technical field

本发明涉及逆变器技术领域,具体涉及一种基于宽容分层序列法的逆变器电压状态预测控制方法。The invention relates to the technical field of inverters, in particular to an inverter voltage state prediction control method based on a tolerant hierarchical sequence method.

背景技术Background technique

风能、太阳能、生物能源等新能源的快速发展使得多电平逆变器得到广泛关注。多电平逆变器作为光伏入网的纽带,需要具备优异的动态稳定性。现有的两电平逆变器,存在电磁干扰严重,逆变效率低等的缺点,在高压场合尤为明显,而相对两电平逆变器来说,钳位型三电平逆变器凭借着开关管耐压低、滤波电感损耗小、谐波失真小等优点成为了分布式发电系统的首选。The rapid development of new energy sources such as wind energy, solar energy, and bioenergy has made multi-level inverters widely concerned. As the link of photovoltaic grid connection, multi-level inverter needs to have excellent dynamic stability. The existing two-level inverter has the shortcomings of serious electromagnetic interference and low inverter efficiency, especially in high-voltage applications. Compared with the two-level inverter, the clamp-type three-level inverter relies on It has become the first choice for distributed power generation systems due to the advantages of low withstand voltage of the switch tube, low filter inductance loss, and low harmonic distortion.

模型预测控制(Model Prective Control,MPC)方法作为钳位型逆变器的一种控制策略,可对每种开关状态序列都根据价值函数进行评估,并使得满足价值函数最小的开关状态序列在下一时刻用于电力电子逆变器的控制。现有的MPC方法一般采用一个带有权重系数的价值函数来实现不同目标的控制。通过权重系数的调节来加减单个目标在总目标中的比重,实现对系统的限制和非线性的处理,但是该方法中权重系数的选取存在不确定性,权重系数的选择大多是通过遗传算法和经验分析确定的,缺少相应的理论基础,导致确定权重系数的过程繁琐、存在随机性,降低了建模效率;并且由于不同控制目标之间的不可攻度性,平衡各个目标之间的量纲往往需要很大的权重系数,这同时也会导致噪声的放大,使控制策略失稳,无法满足使用需求。Model Predictive Control (MPC) method, as a control strategy of clamped inverter, can evaluate each switching state sequence according to the value function, and make the switching state sequence that satisfies the minimum value function in the next one. The moment is used for the control of the power electronic inverter. Existing MPC methods generally use a value function with weight coefficients to achieve control of different objectives. Through the adjustment of the weight coefficient, the proportion of a single target in the total target is added or subtracted, so as to realize the limitation of the system and the nonlinear processing. However, the selection of the weight coefficient in this method is uncertain, and the selection of the weight coefficient is mostly carried out through the genetic algorithm. and empirical analysis, the lack of corresponding theoretical basis leads to cumbersome and randomness in the process of determining the weight coefficient, which reduces the modeling efficiency; and due to the invulnerability between different control objectives, balance the quantity between each objective. The class often requires a large weight coefficient, which will also lead to the amplification of noise, making the control strategy unstable and unable to meet the needs of use.

发明内容SUMMARY OF THE INVENTION

本发明要解决的技术问题是提供一种本发明的基于宽容分层序列法的逆变器电压状态预测控制方法,能够提高建模速率和提升控制稳定性。The technical problem to be solved by the present invention is to provide an inverter voltage state prediction control method based on the tolerance layered sequence method of the present invention, which can improve the modeling rate and improve the control stability.

为了解决上述技术问题,本发明提供的技术方案如下:In order to solve the above-mentioned technical problems, the technical solutions provided by the present invention are as follows:

一种基于宽容分层序列法的逆变器电压状态预测控制方法,所述逆变器为钳位型三电平三相逆变器,该电压状态预测控制方法包括以下步骤:A voltage state prediction control method for an inverter based on a tolerance hierarchical sequence method, wherein the inverter is a clamped three-level three-phase inverter, and the voltage state prediction control method comprises the following steps:

1)创建MPC预测模型,并在K时刻根据所述MPC预测模型预测出K+2时刻的输出电容电压和直流侧中性点电位差;1) Create an MPC prediction model, and predict the output capacitor voltage and the neutral point potential difference of the DC side at time K+2 according to the MPC prediction model at time K;

2)根据K+2时刻的输出电容电压和期望输出电容电压的差值构建第一层价值函数,并根据K+2时刻的直流侧中性点电位差构建第二层价值函数,所述第一层价值函数和第二层价值函数构成双层价值目标函数;2) Construct the first-layer value function according to the difference between the output capacitor voltage and the expected output capacitor voltage at the time of K+2, and construct the second-layer value function according to the potential difference of the neutral point of the DC side at the time of K+2. The first-layer value function and the second-layer value function constitute a double-layer value objective function;

3)利用宽容分层序列法对第一层目标函数进行求解获取多个候选电压状态矢量,将第一层目标函数求解获得的多个候选电压状态矢量代入第二层目标函数,并对第二层目标函数进行优化求解获取最优电压状态矢量;3) Use the permissive hierarchical sequence method to solve the objective function of the first layer to obtain multiple candidate voltage state vectors, substitute the multiple candidate voltage state vectors obtained by solving the objective function of the first layer into the objective function of the second layer, and analyze the second layer of the objective function. The layer objective function is optimized and solved to obtain the optimal voltage state vector;

4)将最优电压状态矢量所对应的逆变器开关状态应用在K+1时刻而对逆变器进行预测控制。4) The inverter switch state corresponding to the optimal voltage state vector is applied at the time K+1 to perform predictive control on the inverter.

在其中一个实施方式中,对第二层目标函数进行优化求解时采用最小化原则。In one of the embodiments, the minimization principle is adopted when the objective function of the second layer is optimized and solved.

在其中一个实施方式中,所述双层价值目标函数为:In one embodiment, the two-layer value objective function is:

Figure BDA0002919228190000021
Figure BDA0002919228190000021

其中,

Figure BDA0002919228190000022
表示第一层价值函数,
Figure BDA0002919228190000023
表示第二层价值函数,ΔVPN(K+2)表示K+2时刻的直流侧中性点电位差,
Figure BDA0002919228190000024
表示K+2时刻的期望输出电容电压,
Figure BDA0002919228190000025
表示K+2时刻的输出电容电压,α、β分别表示两相静止坐标系中的α轴、β轴。in,
Figure BDA0002919228190000022
represents the first-level value function,
Figure BDA0002919228190000023
represents the value function of the second layer, ΔV PN (K+2) represents the neutral point potential difference of the DC side at the moment of K+2,
Figure BDA0002919228190000024
represents the expected output capacitor voltage at time K+2,
Figure BDA0002919228190000025
Represents the output capacitor voltage at time K+2, and α and β represent the α-axis and β-axis in the two-phase static coordinate system, respectively.

在其中一个实施方式中,对第二层目标函数进行优化求解获取最优电压状态矢量时采用以下公式:In one of the embodiments, the following formula is used when the objective function of the second layer is optimized and solved to obtain the optimal voltage state vector:

Figure BDA0002919228190000026
Figure BDA0002919228190000026

Figure BDA0002919228190000031
表示最优电压状态矢量,n表示电压矢量的标号,ζ表示宽容值,
Figure BDA0002919228190000032
表示表示第一层候选价值函数,
Figure BDA0002919228190000033
表示第二层候选价值函数。
Figure BDA0002919228190000031
represents the optimal voltage state vector, n represents the label of the voltage vector, ζ represents the tolerance value,
Figure BDA0002919228190000032
represents the candidate value function of the first layer,
Figure BDA0002919228190000033
represents the second-level candidate value function.

在其中一个实施方式中,In one embodiment,

Figure BDA0002919228190000034
Figure BDA0002919228190000034

其中,

Figure BDA0002919228190000035
表示K时刻的输出电容电压,Ts为采样时间,C为滤波电容,
Figure BDA0002919228190000036
表示K时刻的输出电感电流,
Figure BDA0002919228190000037
表示K时刻的输出负载电流,ux(K)表示K时刻逆变器的输出电压,ΔVPN(K)表示K时刻的直流侧中性点电位差,iO(K)表示K时刻的直流侧中点电流。in,
Figure BDA0002919228190000035
represents the output capacitor voltage at time K, T s is the sampling time, C is the filter capacitor,
Figure BDA0002919228190000036
represents the output inductor current at time K,
Figure BDA0002919228190000037
represents the output load current at time K, u x (K) represents the output voltage of the inverter at time K, ΔV PN (K) represents the neutral point potential difference of the DC side at time K, and i O (K) represents the DC voltage at time K side midpoint current.

在其中一个实施方式中,所述两相静止坐标系由三相静止坐标系转换得到。In one of the embodiments, the two-phase stationary coordinate system is converted from a three-phase stationary coordinate system.

在其中一个实施方式中,所述两相静止坐标系由三相静止坐标系通过Clark变换或Park变换转换得到。In one embodiment, the two-phase stationary coordinate system is obtained by transforming the three-phase stationary coordinate system through Clark transformation or Park transformation.

本发明具有以下有益效果:本发明的基于宽容分层序列法的逆变器电压状态预测控制方法,能够避免调节价值函数中的权重系数,省去复杂而繁琐的试错过程,提高了建模速率;同时调解了不同控制目标之间的不可攻度性,避免过度放大控制目标导致噪声过大引起失真的现象,具有优异的稳态性能和快速的动态响应。The invention has the following beneficial effects: the inverter voltage state prediction control method based on the tolerance layered sequence method of the invention can avoid adjusting the weight coefficient in the value function, save the complicated and tedious trial and error process, and improve the modeling At the same time, it adjusts the invulnerability between different control targets, avoids the phenomenon of distortion caused by excessive noise caused by excessively amplifying the control targets, and has excellent steady-state performance and fast dynamic response.

附图说明Description of drawings

图1是钳位型三电平三相逆变器的结构示意图;FIG. 1 is a schematic structural diagram of a clamped three-level three-phase inverter;

图2是图1所示逆变器的电压空间矢量关系图;FIG. 2 is a voltage space vector relationship diagram of the inverter shown in FIG. 1;

图3是本发明的基于宽容分层序列法的逆变器电压状态预测控制方法的结构框图;Fig. 3 is the structural block diagram of the inverter voltage state prediction control method based on the tolerance hierarchical sequence method of the present invention;

图4是本发明的基于宽容分层序列法的逆变器电压状态预测控制方法的控制策略流程图;Fig. 4 is the control strategy flow chart of the inverter voltage state prediction control method based on the tolerance hierarchical sequence method of the present invention;

图5是三相静止坐标系和两相静止坐标系的坐标图;Fig. 5 is a coordinate diagram of a three-phase stationary coordinate system and a two-phase stationary coordinate system;

图6是利用本发明的预测控制方法得到的电压状态控制波形图;Fig. 6 is the voltage state control waveform diagram that utilizes the predictive control method of the present invention to obtain;

图7是电压矢量中进入第二层价值函数的候选电压状态矢量数分布图;7 is a distribution diagram of the number of candidate voltage state vectors entering the second-layer value function in the voltage vector;

具体实施方式Detailed ways

下面结合附图和具体实施例对本发明作进一步说明,以使本领域的技术人员可以更好地理解本发明并能予以实施,但所举实施例不作为对本发明的限定。The present invention will be further described below with reference to the accompanying drawings and specific embodiments, so that those skilled in the art can better understand the present invention and implement it, but the embodiments are not intended to limit the present invention.

如图3-图4所示,本实施例公开了一种基于宽容分层序列法的逆变器电压状态预测控制方法,逆变器为钳位型三电平三相逆变器,逆变器结构参阅图1-图2,钳位型三电平三相逆变器输出交流电到三相负载上,该基于宽容分层序列法的逆变器电压状态预测控制方法包括以下步骤:As shown in FIGS. 3-4 , this embodiment discloses a method for predicting the voltage state of an inverter based on a tolerant hierarchical sequence method. The inverter is a clamped three-level three-phase inverter. Refer to Figure 1 to Figure 2 for the structure of the inverter. The clamped three-level three-phase inverter outputs AC power to the three-phase load. The inverter voltage state prediction control method based on the tolerance hierarchical sequence method includes the following steps:

1)创建MPC预测模型,并在K时刻根据所述MPC预测模型预测出K+2时刻的输出电容电压和直流侧中性点电位差;1) Create an MPC prediction model, and predict the output capacitor voltage and the neutral point potential difference of the DC side at time K+2 according to the MPC prediction model at time K;

2)根据K+2时刻的输出电容电压和期望输出电容电压的差值构建第一层价值函数,并根据K+2时刻的直流侧中性点电位差构建第二层价值函数,所述第一层价值函数和第二层价值函数构成双层价值目标函数;2) Construct the first-layer value function according to the difference between the output capacitor voltage and the expected output capacitor voltage at the time of K+2, and construct the second-layer value function according to the potential difference of the neutral point of the DC side at the time of K+2. The first-layer value function and the second-layer value function constitute a double-layer value objective function;

3)利用宽容分层序列法对第一层目标函数进行求解获取多个候选电压状态矢量,将第一层目标函数求解获得的多个候选电压状态矢量代入第二层目标函数,并对第二层目标函数进行优化求解获取最优电压状态矢量;3) Use the permissive hierarchical sequence method to solve the objective function of the first layer to obtain multiple candidate voltage state vectors, substitute the multiple candidate voltage state vectors obtained by solving the objective function of the first layer into the objective function of the second layer, and analyze the second layer of the objective function. The layer objective function is optimized and solved to obtain the optimal voltage state vector;

4)将最优电压状态矢量所对应的逆变器开关状态应用在K+1时刻而对逆变器进行预测控制。4) The inverter switch state corresponding to the optimal voltage state vector is applied at the time K+1 to perform predictive control on the inverter.

上述过程中,在K时刻根据MPC预测模型预测出K+2时刻的输出电容电压和直流侧中性点电位差,利用预测出的K+2时刻的输出电容电压和直流侧中性点电位差构建双层价值函数,并最终获得最优电压状态矢量,并以最优电压状态矢量所对应的逆变器开关状态应用在K+1时刻而对逆变器进行预测控制,也即在K时刻带入预测模型预测K+2时刻的输出电容电压和直流侧电位差,并在K+1时刻应用,该方式能够对实际执行过程中的采样步骤的延迟进行有效补偿,实现了延时补偿,优化了控制性能,更利于得到逆变器当前时刻的最佳电压状态矢量。In the above process, at time K, the output capacitor voltage and the DC side neutral point potential difference at the time K+2 are predicted according to the MPC prediction model, and the predicted output capacitor voltage and the DC side neutral point potential difference at the time K+2 are used. Construct the double-layer value function, and finally obtain the optimal voltage state vector, and apply the inverter switch state corresponding to the optimal voltage state vector at time K+1 to perform predictive control of the inverter, that is, at time K Bring in the prediction model to predict the output capacitor voltage and the DC side potential difference at the time of K+2, and apply it at the time of K+1, this method can effectively compensate the delay of the sampling step in the actual execution process, and realize the delay compensation, The control performance is optimized, which is more conducive to obtaining the best voltage state vector of the inverter at the current moment.

在其中一个实施方式中,对第二层目标函数进行优化求解时采用最小化原则。In one of the embodiments, the minimization principle is adopted when the objective function of the second layer is optimized and solved.

在其中一个实施方式中,双层价值目标函数为:In one embodiment, the two-layer value objective function is:

Figure BDA0002919228190000051
Figure BDA0002919228190000051

其中,

Figure BDA0002919228190000052
表示第一层价值函数,
Figure BDA0002919228190000053
表示第二层价值函数,ΔVPN(K+2)表示K+2时刻的直流侧中性点电位差,
Figure BDA0002919228190000054
表示K+2时刻的期望输出电容电压,
Figure BDA0002919228190000055
表示K+2时刻的输出电容电压,x=α、β,α、β分别表示两相静止坐标系中的α轴、β轴,例如,x=α时,
Figure BDA0002919228190000056
表示K+2时刻的输出电容电压在α轴上的坐标值。in,
Figure BDA0002919228190000052
represents the first-level value function,
Figure BDA0002919228190000053
represents the value function of the second layer, ΔV PN (K+2) represents the neutral point potential difference of the DC side at the moment of K+2,
Figure BDA0002919228190000054
represents the expected output capacitor voltage at time K+2,
Figure BDA0002919228190000055
Represents the output capacitor voltage at time K+2, x=α, β, α, β represent the α-axis and β-axis in the two-phase static coordinate system, for example, when x=α,
Figure BDA0002919228190000056
Indicates the coordinate value of the output capacitor voltage on the α-axis at time K+2.

在其中一个实施方式中,两相静止坐标系由三相静止坐标系转换得到。In one of the embodiments, the two-phase stationary coordinate system is converted from the three-phase stationary coordinate system.

在其中一个实施方式中,如图5所示,两相静止坐标系由三相静止坐标系通过Clark变换(克拉克变换)或Park变换(派克变换)转换得到。In one of the embodiments, as shown in FIG. 5 , the two-phase stationary coordinate system is obtained by transforming the three-phase stationary coordinate system through Clark transformation (Clark transformation) or Park transformation (Pike transformation).

在其中一个实施方式中,利用最小化原则对第二层目标函数进行优化求解获取最优电压状态矢量时采用以下公式:In one of the embodiments, the following formula is used when the objective function of the second layer is optimized and solved by using the minimization principle to obtain the optimal voltage state vector:

Figure BDA0002919228190000057
Figure BDA0002919228190000057

Figure BDA0002919228190000058
表示最优电压状态矢量,可以理解地,
Figure BDA0002919228190000059
分别表示A相、B相和C相的最优电压,n表示电压矢量的标号,ζ表示宽容值,
Figure BDA00029192281900000510
表示表示第一层候选价值函数,
Figure BDA00029192281900000511
表示第二层候选价值函数。
Figure BDA0002919228190000058
represents the optimal voltage state vector, understandably,
Figure BDA0002919228190000059
respectively represent the optimal voltages of A-phase, B-phase and C-phase, n represents the label of the voltage vector, ζ represents the tolerance value,
Figure BDA00029192281900000510
represents the candidate value function of the first layer,
Figure BDA00029192281900000511
represents the second-level candidate value function.

可以理解地,

Figure BDA00029192281900000512
表示找出满足不大于
Figure BDA00029192281900000513
之和的所有候选电压状态矢量,以此候选电压状态矢量下的第一层价值函数记为第一层候选价值函数
Figure BDA0002919228190000061
然后将满足
Figure BDA0002919228190000062
的候选电压状态矢量代入第二层价值函数,将此时的第二层价值函数记为第二层候选价值函数
Figure BDA0002919228190000063
并最终找出第二层候选价值函数
Figure BDA0002919228190000064
的最小值
Figure BDA0002919228190000065
满足
Figure BDA0002919228190000066
的候选电压状态矢量则为最优电压矢量。Understandably,
Figure BDA00029192281900000512
Indicates to find out that the satisfaction is not greater than
Figure BDA00029192281900000513
The sum of all candidate voltage state vectors, the first layer value function under this candidate voltage state vector is recorded as the first layer candidate value function
Figure BDA0002919228190000061
then will satisfy
Figure BDA0002919228190000062
The candidate voltage state vector is substituted into the second-layer value function, and the second-layer value function at this time is recorded as the second-layer candidate value function
Figure BDA0002919228190000063
And finally find the second layer candidate value function
Figure BDA0002919228190000064
the minimum value of
Figure BDA0002919228190000065
Satisfy
Figure BDA0002919228190000066
The candidate voltage state vector of is the optimal voltage vector.

采用宽容分层序列法对第一层目标函数进行求解,由此引入了宽容值ζ,通过设置合适的宽容值能够满足不同性能的需求,至少可发送一个最优解到下一层。解决了“现有的字典最优解在进行层次计算时会出现落入下一层的最优解是唯一的情形,导致下一层的控制目标不能按照预期实现”的问题。宽容值的选取没有权重系数选取那么繁琐,宽容值的大小决定了进入第二层的候选电压状态矢量数目,宽容值的大小取决于实际应用场所对直流侧中点电位平衡的严格程度。The objective function of the first layer is solved by the tolerant hierarchical sequence method, and the tolerance value ζ is introduced. By setting the appropriate tolerance value, the requirements of different performances can be met, and at least one optimal solution can be sent to the next layer. It solves the problem that "the optimal solution of the existing dictionary will fall into the only optimal solution of the next layer during the hierarchical calculation, resulting in that the control objective of the next layer cannot be realized as expected". The selection of the tolerance value is not as complicated as the selection of the weight coefficient. The size of the tolerance value determines the number of candidate voltage state vectors entering the second layer. The size of the tolerance value depends on the actual application site.

在其中一个实施方式中,In one embodiment,

Figure BDA0002919228190000067
Figure BDA0002919228190000067

其中,

Figure BDA0002919228190000068
表示K时刻的输出电容电压,Ts为采样时间,C为滤波电容,
Figure BDA0002919228190000069
表示K时刻的输出电感电流,
Figure BDA00029192281900000610
表示K时刻的输出负载电流,ux(K)表示K时刻逆变器的输出电压,ΔVPN(K)表示K时刻的直流侧中性点电位差,iO(K)表示K时刻的直流侧中点电流。in,
Figure BDA0002919228190000068
represents the output capacitor voltage at time K, T s is the sampling time, C is the filter capacitor,
Figure BDA0002919228190000069
represents the output inductor current at time K,
Figure BDA00029192281900000610
represents the output load current at time K, u x (K) represents the output voltage of the inverter at time K, ΔV PN (K) represents the neutral point potential difference of the DC side at time K, and i O (K) represents the DC voltage at time K side midpoint current.

在其中一个实施方式中,步骤1)中的MPC预测模型为:In one embodiment, the MPC prediction model in step 1) is:

Figure BDA00029192281900000611
Figure BDA00029192281900000611

式中,

Figure BDA0002919228190000071
为输出电感电流,ux为逆变器的输出电压,
Figure BDA0002919228190000072
为平衡电容电流,y=P、N,分别表示直流侧上下两个平衡电容的标号,也即分别代表平衡电容P和平衡电容N,iO为直流侧中点电流,ΔVPN为直流侧中点电位差,C为滤波电容,
Figure BDA0002919228190000073
为输出电容电压,
Figure BDA0002919228190000074
为输出负载电流,L为滤波电感,Cy为平衡电容的电容值,Vy为平衡电容的电压,Sn′表示逆变器n′相的开关状态,in,表示逆变器n′相的相电流,n′=a,b,c分别代表A相、B相和C相,
Figure BDA0002919228190000075
分别表示平衡电容P、平衡电容N的电容电流,VP、VN分别表示平衡电容P、平衡电容N的电容电压。In the formula,
Figure BDA0002919228190000071
is the output inductor current, u x is the output voltage of the inverter,
Figure BDA0002919228190000072
is the balance capacitor current, y=P, N, which represent the labels of the upper and lower balance capacitors on the DC side respectively, that is, the balance capacitor P and the balance capacitor N respectively, i O is the midpoint current of the DC side, and ΔV PN is the middle point of the DC side. point potential difference, C is the filter capacitor,
Figure BDA0002919228190000073
is the output capacitor voltage,
Figure BDA0002919228190000074
is the output load current, L is the filter inductance, C y is the capacitance value of the balance capacitor, V y is the voltage of the balance capacitor, Sn ' represents the switching state of the n' phase of the inverter, i n, represents the inverter n' The phase current of the phase, n′=a, b, c represent the A phase, the B phase and the C phase, respectively,
Figure BDA0002919228190000075
Represent the capacitance currents of the balance capacitor P and the balance capacitor N, respectively, and V P and V N represent the capacitor voltages of the balance capacitor P and the balance capacitor N, respectively.

其中,由公式(4)获得公式(3)的过程如下:Among them, the process of obtaining formula (3) from formula (4) is as follows:

S1)先由公式(4)推导出αβ两相静止坐标系下钳位型三相三电平逆变器在连续时间域的微分方程:S1) First derive the differential equation of the clamped three-phase three-level inverter in the continuous time domain in the αβ two-phase static coordinate system from the formula (4):

Figure BDA0002919228190000076
Figure BDA0002919228190000076

其中,x=α,β,代表αβ两相静止坐标系中的α轴、β轴,例如,x=α时,

Figure BDA0002919228190000077
表示输出负载电流在α轴上的坐标值。Among them, x=α, β, representing the α-axis and β-axis in the α-β two-phase stationary coordinate system, for example, when x=α,
Figure BDA0002919228190000077
Indicates the coordinate value of the output load current on the α-axis.

S2)在K时刻,使用MPC预测模型预测逆变器在K+1时刻的输出电容电压和直流侧电位差,考虑到微处理器能够在几十微秒内完成预测计算,所以将这些系统离散化。设Ts为采样时间,根据欧拉前向法得到在离散时间域下K时刻的输出电容电压和直流侧电位差:S2) At time K, use the MPC prediction model to predict the output capacitor voltage and DC side potential difference of the inverter at time K+1. Considering that the microprocessor can complete the prediction calculation within tens of microseconds, these systems are discrete change. Let T s be the sampling time, and obtain the output capacitor voltage and DC side potential difference at time K in the discrete time domain according to the Euler forward method:

Figure BDA0002919228190000078
Figure BDA0002919228190000078

其中,

Figure BDA0002919228190000079
表示K+1时刻的输出电容电压,ΔVPN(K+1)表示K+1时刻的直流侧中性点电位差,
Figure BDA00029192281900000710
表示K时刻的输出电容电压,Ts为采样时间,C为滤波电容,
Figure BDA00029192281900000711
表示K时刻的输出电感电流,
Figure BDA00029192281900000712
表示K时刻的输出负载电流,ΔVPN(K)表示K时刻的直流侧中性点电位差,iO(K)表示K时刻的直流侧中点电流。in,
Figure BDA0002919228190000079
represents the output capacitor voltage at time K+1, ΔV PN (K+1) represents the neutral point potential difference of the DC side at time K+1,
Figure BDA00029192281900000710
represents the output capacitor voltage at time K, T s is the sampling time, C is the filter capacitor,
Figure BDA00029192281900000711
represents the output inductor current at time K,
Figure BDA00029192281900000712
Represents the output load current at time K, ΔV PN (K) represents the neutral point potential difference of the DC side at time K, and i O (K) represents the midpoint current of the DC side at time K.

S3)根据步骤S2)得出的K+1时刻的预测值迭代预测出K+2时刻的输出电容电压和直流侧电位差,也即得到了公式(3)。S3) Iteratively predicts the output capacitor voltage and DC side potential difference at time K+2 according to the predicted value at time K+1 obtained in step S2), that is, formula (3) is obtained.

其中,公式(2)的获取过程如下:Among them, the obtaining process of formula (2) is as follows:

本实施例的逆变器的数学模型可以通过以下两个坐标系来标识,分别为abc三相静止坐标系和αβ两相静止坐标系,如图5所示:The mathematical model of the inverter in this embodiment can be identified by the following two coordinate systems, which are the abc three-phase static coordinate system and the αβ two-phase static coordinate system, as shown in FIG. 5 :

1)abc三相静止坐标系:abc分别为定子三相绕组轴向,互差120°电角度;1) abc three-phase static coordinate system: abc are the axial directions of the three-phase windings of the stator, with an electrical angle difference of 120°;

2)αβ两相静止坐标系:α轴重合a轴,β轴逆时针超前α轴90°电角度;2) αβ two-phase stationary coordinate system: α axis coincides with a axis, β axis is 90° ahead of α axis counterclockwise;

为了把abc三相静止坐标系的数学模型变换到αβ两相静止坐标系中去,需要进行克拉克变换(Clark变换),其简称3/2变换,变换矩阵C3/2(等幅值坐标变换)如下:In order to transform the mathematical model of the abc three-phase static coordinate system into the αβ two-phase static coordinate system, it is necessary to perform Clark transformation (Clark transformation), which is referred to as 3/2 transformation, and the transformation matrix C 3/2 (equal amplitude coordinate transformation) )as follows:

Figure BDA0002919228190000081
Figure BDA0002919228190000081

钳位型三相三电平电压源逆变器的结构参照图2所示,输出的电压υs的公式如下:The structure of the clamped three-phase three-level voltage source inverter is shown in Figure 2. The formula of the output voltage υ s is as follows:

Figure BDA0002919228190000082
Figure BDA0002919228190000082

式中,Vdc为直流输入端的电压幅值,Sa、Sb、Sc分别标识逆变器开关状态,例如Sa=1代表

Figure BDA0002919228190000083
Figure BDA0002919228190000084
同时导通,
Figure BDA0002919228190000085
Figure BDA0002919228190000086
同时关断;Sa=0代表
Figure BDA0002919228190000087
Figure BDA0002919228190000088
同时导通,
Figure BDA0002919228190000089
同时关断;例如Sa=-1代表
Figure BDA00029192281900000810
Figure BDA00029192281900000811
同时导通,
Figure BDA00029192281900000812
同时关断。逆变器共有27种开关状态,分别对应27种电压矢量输出,电压空间矢量关系如图3。In the formula, V dc is the voltage amplitude of the DC input terminal, and Sa , Sb, and Sc respectively identify the switching state of the inverter, for example, Sa = 1 represents
Figure BDA0002919228190000083
Figure BDA0002919228190000084
turn on at the same time,
Figure BDA0002919228190000085
Figure BDA0002919228190000086
Turn off at the same time; Sa = 0 means
Figure BDA0002919228190000087
Figure BDA0002919228190000088
turn on at the same time,
Figure BDA0002919228190000089
Turn off at the same time; for example, Sa = -1 means
Figure BDA00029192281900000810
Figure BDA00029192281900000811
turn on at the same time,
Figure BDA00029192281900000812
simultaneously shut down. The inverter has a total of 27 switching states, corresponding to 27 voltage vector outputs. The voltage space vector relationship is shown in Figure 3.

根据图2钳位型三相三电平逆变器的拓扑结构,可得在两相静止坐标系下的动态方程:According to the topology of the clamped three-phase three-level inverter in Fig. 2, the dynamic equation in the two-phase static coordinate system can be obtained:

(1)输出电感电流方程(1) Output inductor current equation

Figure BDA0002919228190000091
Figure BDA0002919228190000091

式中,

Figure BDA0002919228190000092
分别表示输出电感电流在α轴、β轴上的坐标值,uc为输出电容电压,C为滤波电容,
Figure BDA0002919228190000093
分别表示输出负载电流在在α轴、β轴上的坐标值。In the formula,
Figure BDA0002919228190000092
respectively represent the coordinate values of the output inductor current on the α-axis and β-axis, u c is the output capacitor voltage, C is the filter capacitor,
Figure BDA0002919228190000093
They represent the coordinate values of the output load current on the α-axis and β-axis, respectively.

(2)电压方程:(2) Voltage equation:

Figure BDA0002919228190000094
Figure BDA0002919228190000094

式中,uα、uβ为分别表示输出电压在α轴、β轴上的坐标值,L表示滤波电感。In the formula, u α and u β are the coordinate values of the output voltage on the α-axis and β-axis, respectively, and L represents the filter inductance.

(3)直流侧平衡电容方程:(3) DC side balance capacitor equation:

Figure BDA0002919228190000095
Figure BDA0002919228190000095

式中,

Figure BDA0002919228190000096
均为平衡电容电流,iO为直流侧中点电流,ΔVPN为直流侧中点电位差,CP、CN均为平衡电容容值,Sn′表示逆变器n′相的开关状态,in,表示逆变器n′相的相电流,n′=a,b,c分别代表A相、B相和C相,
Figure BDA0002919228190000097
分别表示平衡电容P、平衡电容N的电容电流,VP、VN分别表示平衡电容P、平衡电容N的电容电压。In the formula,
Figure BDA0002919228190000096
are the balance capacitor current, i O is the DC side midpoint current, ΔV PN is the DC side midpoint potential difference, C P and CN are the balance capacitor value, and Sn ' represents the switching state of the n' phase of the inverter , i n, represents the phase current of inverter n' phase, n'=a, b, c represent A phase, B phase and C phase respectively,
Figure BDA0002919228190000097
Represent the capacitance currents of the balance capacitor P and the balance capacitor N, respectively, and V P and V N represent the capacitor voltages of the balance capacitor P and the balance capacitor N, respectively.

根据公式(8)、(9)、(10),推导出αβ坐标系下钳位型三相三电平逆变器在连续时间域的微分方程:According to formulas (8), (9) and (10), the differential equation of the clamped three-phase three-level inverter in the continuous time domain in the αβ coordinate system is derived:

Figure BDA0002919228190000101
Figure BDA0002919228190000101

其中,x=α,β,代表αβ两相静止坐标系中的α轴、β轴,例如,x=α时,

Figure BDA0002919228190000102
表示输出负载电流在α轴上的坐标值;
Figure BDA0002919228190000103
为输出电容电压,
Figure BDA0002919228190000104
为输出负载电流,
Figure BDA0002919228190000105
为输出电感电流。Among them, x=α, β, representing the α-axis and β-axis in the α-β two-phase stationary coordinate system, for example, when x=α,
Figure BDA0002919228190000102
Indicates the coordinate value of the output load current on the α axis;
Figure BDA0002919228190000103
is the output capacitor voltage,
Figure BDA0002919228190000104
is the output load current,
Figure BDA0002919228190000105
is the output inductor current.

根据公式(11)可得出两个控制目标,分别为考量输出电容电压与参考电容电压之间的差值大小和最小化直流侧平衡电容电位差,具体价值函数方程:According to formula (11), two control objectives can be obtained, which are to consider the difference between the output capacitor voltage and the reference capacitor voltage and minimize the potential difference of the DC side balance capacitor. The specific value function equation is:

Figure BDA0002919228190000106
Figure BDA0002919228190000106

其中,n=0,...,26,代表不同的电压状态矢量标号。Among them, n=0, . . . , 26, representing different voltage state vector labels.

针对公式(12)在实际中想获得同时满足两个控制目标最优的电压矢量几乎不存在,只存在一组等价的帕累托最优解。将其中一组帕累托最优解定为

Figure BDA0002919228190000107
为说明需要,这里对以下定义进行说明:According to formula (12), in practice, there is almost no optimal voltage vector that satisfies the two control objectives at the same time, and there is only a set of equivalent Pareto optimal solutions. One of the set of Pareto optimal solutions is defined as
Figure BDA0002919228190000107
To illustrate the need, the following definitions are explained here:

定义1:当所选电压状态矢量的标号n=0,...,26时,所对应的解称为适宜解

Figure BDA0002919228190000108
Definition 1: When the label of the selected voltage state vector n=0,...,26, the corresponding solution is called a suitable solution
Figure BDA0002919228190000108

定义2:适宜解

Figure BDA0002919228190000109
满足
Figure BDA00029192281900001010
Figure BDA00029192281900001011
该解称为帕累托最优解;Definition 2: Suitable solution
Figure BDA0002919228190000109
Satisfy
Figure BDA00029192281900001010
or
Figure BDA00029192281900001011
This solution is called the Pareto optimal solution;

定义3:有且仅有适宜解

Figure BDA00029192281900001012
满足
Figure BDA00029192281900001013
Figure BDA00029192281900001014
J2代表该解下的第二层价值函数值,该解称为字典最优解;Definition 3: There are and only suitable solutions
Figure BDA00029192281900001012
Satisfy
Figure BDA00029192281900001013
and
Figure BDA00029192281900001014
J 2 represents the value of the second layer value function under the solution, which is called the optimal solution of the dictionary;

本发明解决该多目标优化的问题采用建立序列结构的方式。按照优先级高低对价值函数进行分层,满足当前层次控制目标的输入量进入下一层,层次计算一直持续到最后一个价值函数的帕累托最优解被获得。价值函数层次的不同有不同的帕累托最优解。根据定义3,可以得到字典最优解的数学表达:The present invention solves the problem of multi-objective optimization by establishing a sequence structure. The value function is layered according to the priority level, and the input that meets the control objective of the current layer enters the next layer, and the layer calculation continues until the Pareto optimal solution of the last value function is obtained. Different value function levels have different Pareto optimal solutions. According to definition 3, the mathematical expression of the optimal solution of the dictionary can be obtained:

Figure BDA0002919228190000111
Figure BDA0002919228190000111

公式(13)表明,字典最优解在进行层次计算时会出现落入下一层的最优解是唯一的情形,导致下一层的控制目标不能按照预期实现。为克服这一缺陷,在层次计算过程中引入宽容值ζ,将公式(13)改进得到

Figure BDA0002919228190000112
Equation (13) shows that the optimal solution of the dictionary is the only one that falls into the next layer during the hierarchical calculation, resulting in that the control objective of the next layer cannot be achieved as expected. In order to overcome this defect, the tolerance value ζ is introduced in the process of hierarchical calculation, and the formula (13) is improved to obtain
Figure BDA0002919228190000112

根据本实施例的上述基于宽容分层序列法的逆变器电压状态预测控制方法,在Matlab里建立起系统的仿真模型,并利用上述方法获得最优电压矢量控制逆变器运行。为验证该控制策略能够很好的平衡直流侧中点电压,在模型中将直流侧电容设为了不对等,即在电容CP端并联了电阻RP。仿真参数:Vdc=400V,Rdc=0.001Ω,CP=CN=500μF,R=20Ω,L=10mH,C=10μF,RP=200Ω,控制系统采样周期为20kHz;期望电压给定赋值150V,频率50Hz。对传统模型预测控制和宽容序列模型预测电压状态控制的仿真对比,对比结果显示两种控制策略的电流电压性能大致类似。图6为利用本实施例的预测控制方法得到的电压状态控制波形图,其中,(a)图表示A相相电流的波形图,(b)图表示A相相电流的快速傅里叶变换情况图,(c)图表示线电压波动图,(d)图表示直流侧中性点电位差波动图,由图6中(b)图可知,本实施例的预测电压状态控制的总谐波失真为0.68%,预测电压状态控制方法在电流性能上面仍保持优良性能。由于直流侧电容CP并联了电阻RP,中性点电压整体出现负偏移,本实施例的预测电压状态控制方法控制最大中性点电压偏移值为-6.198V,在抑制中点电压波动上也表现优异。图7展示了进入双层价值函数第二层的候选电压状态矢量数,其中数量为1,2,3的比例最大,分别为55%,30%,11%,这代表本实施例的预测电压状态控制方法能够根据当前系统情形动态的选择候选电压状态矢量数。According to the above-mentioned method for predicting the voltage state of the inverter based on the tolerant hierarchical sequence method, a simulation model of the system is established in Matlab, and the above-mentioned method is used to obtain the optimal voltage vector control inverter operation. In order to verify that the control strategy can well balance the DC side midpoint voltage, the DC side capacitors are set to be unequal in the model, that is, a resistor R P is connected in parallel with the capacitor C P terminal. Simulation parameters: V dc = 400V, R dc = 0.001Ω, C P = CN = 500μF, R = 20Ω, L = 10mH, C = 10μF, R P = 200Ω, the sampling period of the control system is 20kHz; the desired voltage is given Assign 150V, frequency 50Hz. The simulation comparison of traditional model predictive control and tolerance sequence model predictive voltage state control shows that the current and voltage performance of the two control strategies are roughly similar. 6 is a voltage state control waveform diagram obtained by using the predictive control method of the present embodiment, wherein (a) diagram represents the waveform diagram of the phase A phase current, and diagram (b) represents the fast Fourier transform of the phase A phase current. Figure (c) represents the line voltage fluctuation diagram, and (d) represents the DC side neutral point potential difference fluctuation diagram. From Figure 6 (b), it can be seen that the total harmonic distortion of the predicted voltage state control of this embodiment is 0.68%, the predicted voltage state control method still maintains excellent performance in current performance. Since the DC side capacitor C P is connected in parallel with the resistor R P , the overall neutral point voltage has a negative offset. The predicted voltage state control method of this embodiment controls the maximum neutral point voltage offset value to be -6.198V. When suppressing the neutral point voltage Volatility is also excellent. Figure 7 shows the number of candidate voltage state vectors entering the second layer of the double-layer cost function, of which the ratio of 1, 2, and 3 is the largest, which are 55%, 30%, and 11%, respectively, which represent the predicted voltage of this embodiment. The state control method can dynamically select the number of candidate voltage state vectors according to the current system situation.

本实施例的基于宽容分层序列法的逆变器电压状态预测控制方法,通过建立双层价值函数来进行电压状态矢量的求解,无需调节权重系数,避免了现有技术中单一价值函数中需繁琐的确认权重系数的过程,同时调解了两个控制目标之间的不可攻度性,避免过度放大控制目标导致噪声过大引起失真的现象;同时,没有固定价值函数中进入第二层的候选电压状态矢量数目,而是通过设置宽容值的方式实现对候选电压矢量数目的动态调节,根据每个时刻电压状态的不同,控制策略自主选择候选电压状态矢量数目,能够动态的选择候选电压状态矢量的数量,增加了控制策略的适应性和灵活性;整体方法结合带有宽容值的字典法和模型预测控制,具有优异的稳态性能和快速的动态响应;大大减少了参数设计所耗费的时间,提高了建模效率和运算效率。The inverter voltage state prediction control method based on the tolerance layered sequence method in this embodiment solves the voltage state vector by establishing a two-layer value function, without adjusting the weight coefficient, avoiding the need for a single value function in the prior art. The tedious process of confirming the weight coefficients at the same time mediates the invulnerability between the two control targets, avoiding the phenomenon of excessively amplifying the control targets and causing distortion caused by excessive noise; at the same time, there is no candidate for entering the second layer in the fixed value function The number of voltage state vectors, but the dynamic adjustment of the number of candidate voltage vectors is realized by setting the tolerance value. According to the different voltage states at each moment, the control strategy independently selects the number of candidate voltage state vectors, and can dynamically select the candidate voltage state vectors. It increases the adaptability and flexibility of the control strategy; the overall method combines the dictionary method with tolerance value and model predictive control, which has excellent steady-state performance and fast dynamic response; greatly reduces the time spent on parameter design , which improves the modeling efficiency and computing efficiency.

以上所述实施例仅是为充分说明本发明而所举的较佳的实施例,本发明的保护范围不限于此。本技术领域的技术人员在本发明基础上所作的等同替代或变换,均在本发明的保护范围之内。本发明的保护范围以权利要求书为准。The above-mentioned embodiments are only preferred embodiments for fully illustrating the present invention, and the protection scope of the present invention is not limited thereto. Equivalent substitutions or transformations made by those skilled in the art on the basis of the present invention are all within the protection scope of the present invention. The protection scope of the present invention is subject to the claims.

Claims (7)

1. A voltage state prediction control method of an inverter based on a tolerant hierarchical sequence method is disclosed, the inverter is a clamp type three-level three-phase inverter, and the voltage state prediction control method is characterized by comprising the following steps:
1) creating an MPC prediction model, and predicting the output capacitor voltage and the potential difference of the neutral point at the DC side at the K +2 moment according to the MPC prediction model at the K moment;
2) constructing a first-layer cost function according to the difference value between the output capacitor voltage at the moment K +2 and the expected output capacitor voltage, constructing a second-layer cost function according to the potential difference of the neutral point at the direct current side at the moment K +2, wherein the first-layer cost function and the second-layer cost function form a double-layer cost target function;
3) solving the first layer of objective function by using a tolerant hierarchical sequence method to obtain a plurality of candidate voltage state vectors, substituting the plurality of candidate voltage state vectors obtained by solving the first layer of objective function into the second layer of objective function, and optimizing and solving the second layer of objective function to obtain an optimal voltage state vector;
4) and applying the inverter switching state corresponding to the optimal voltage state vector to the moment K +1 to perform prediction control on the inverter.
2. The inverter voltage state prediction control method based on the tolerant hierarchical sequence method according to claim 2, wherein a minimization principle is adopted when the second-layer objective function is optimized and solved.
3. The method for predictive control of inverter voltage states based on the tolerant hierarchical sequence method as set forth in claim 2, wherein the two-level cost objective function is:
Figure FDA0002919228180000011
wherein,
Figure FDA0002919228180000012
a first-level cost function is represented,
Figure FDA0002919228180000013
representing the second layer cost function, Δ VPN(K +2) represents the DC-side neutral point potential difference at the time K +2,
Figure FDA0002919228180000014
representing the desired output capacitor voltage at time K +2,
Figure FDA0002919228180000015
the output capacitor voltage at the time K +2 is shown, and α and β respectively show an α axis and a β axis in the two-phase stationary coordinate system.
4. The inverter voltage state prediction control method based on the tolerant hierarchical sequence method according to claim 3, wherein the following formula is adopted when the optimal voltage state vector is obtained by optimizing and solving the second-layer objective function:
Figure FDA0002919228180000021
Figure FDA0002919228180000022
denotes an optimum voltage state vector, n denotes a reference numeral of the voltage vector, ζ denotes a wide tolerance value,
Figure FDA0002919228180000023
the representation represents a first-level candidate cost function,
Figure FDA0002919228180000024
representing a second tier candidate merit function.
5. The inverter voltage state prediction control method based on the tolerant hierarchical sequence method according to claim 3,
Figure FDA0002919228180000025
wherein,
Figure FDA0002919228180000026
indicating the output capacitor voltage at time K, TsIs the sampling time, C is the filter capacitance,
Figure FDA0002919228180000027
representing the output inductor current at time K,
Figure FDA0002919228180000028
represents the output load current at time K, ux(K) Representing the output voltage of the inverter at time K, Δ VPN(K) Represents the potential difference of the neutral point on the DC side at the time KO(K) The dc-side midpoint current at time K is shown.
6. The method for predictive control of inverter voltage states based on the tolerant hierarchical sequence method as set forth in claim 3, characterized in that the two-phase stationary coordinate system is converted from a three-phase stationary coordinate system.
7. The inverter voltage state prediction control method based on the tolerant hierarchical sequence method according to claim 6, wherein the two-phase static coordinate system is obtained by Clark conversion or Park conversion of a three-phase static coordinate system.
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