CN106452263A - Extended active power-based sliding mode variable structure direct power control (DPC) method for DFIG in unbalanced power grid - Google Patents

Extended active power-based sliding mode variable structure direct power control (DPC) method for DFIG in unbalanced power grid Download PDF

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CN106452263A
CN106452263A CN201611032917.5A CN201611032917A CN106452263A CN 106452263 A CN106452263 A CN 106452263A CN 201611032917 A CN201611032917 A CN 201611032917A CN 106452263 A CN106452263 A CN 106452263A
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CN106452263B (en
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孙丹
王霄鹤
蒋天龙
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Zhejiang University ZJU
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Abstract

The invention discloses an extended active power-based sliding mode variable structure direct power control (DPC) method for a DFIG in an unbalanced power grid. Extended active power is provided on the basis of a mathematical model of the DFIG in the unbalanced power grid, the extended active power and conventional reactive power are taken as control objects, a sliding mode variable structure algorithm and a DPC technology are combined, and an improved extended active power-based sliding mode variable structure DPC strategy is further provided. According to the method, the DFIG in the unbalanced power grid can be effectively controlled to obtain stable electromagnetic torque and reactive power as well as sinusoidal stator current on the premise of no positive and negative sequence separation of the voltage and current of the power grid; control can be systematically implemented simply without monitoring the frequency of the voltage of the power grid in real time by a phase-locked loop.

Description

一种不平衡电网下DFIG基于拓展有功功率的滑模变结构直接 功率控制方法A DFIG based on sliding mode variable structure direct expansion of active power under unbalanced power grid power control method

技术领域technical field

本发明属于电机控制技术领域,具体涉及一种不平衡电网下DFIG基于拓展有功功率的滑模变结构直接功率控制方法。The invention belongs to the technical field of motor control, and in particular relates to a DFIG-based sliding mode variable structure direct power control method based on expanded active power under an unbalanced power grid.

背景技术Background technique

现代风力发电系统主要采用双馈感应发电机和永磁同步发电机两种类型,为提高发电效率,均采用变速恒频发电运行方式。其中,双馈感应发电机(DFIG)应用最多,技术最为成熟,是当前的主流机型。DFIG系统结构如图1所示,DFIG可实现变速恒频控制,减小变换器的容量,还可实现有功、无功的解耦控制,这种功率控制的灵活性对电网非常有利。然而,在不平衡电网下,由于DFIG的定子侧和电网直接相连,DFIG的运行性能会受到很大影响,因此,研究DFIG在不平衡电网下的改进控制策略具有重要的意义。Modern wind power generation systems mainly adopt two types of doubly-fed induction generators and permanent magnet synchronous generators. In order to improve power generation efficiency, both adopt variable-speed and constant-frequency power generation operation modes. Among them, the doubly-fed induction generator (DFIG) has the most applications and the most mature technology, and is the current mainstream model. The structure of the DFIG system is shown in Figure 1. DFIG can realize variable speed and constant frequency control, reduce the capacity of the converter, and realize decoupling control of active power and reactive power. This flexibility of power control is very beneficial to the power grid. However, in an unbalanced grid, since the stator side of DFIG is directly connected to the grid, the operation performance of DFIG will be greatly affected. Therefore, it is of great significance to study the improved control strategy of DFIG in unbalanced grid.

长期以来矢量控制(VC)都是双馈风力发电系统的主流控制策略。VC通过两个PI控制器分别对有功无功电流进行解耦控制,具有优良的稳态性能,但由于积分环节存在滞后效应,VC的动态性能并不尽如人意。针对VC在不平衡电网下的改进控制策略,有学者提出了一种利用两组PI控制器分别对正负序电流分量进行控制的改进策略。然而,对电压、电流进行正负序分离的过程大大增加了系统的复杂程度,如果分离不准确还会对系统的控制性能造成严重影响。近年来,直接功率控制策略(DPC)受到人们越来越多的关注,其对功率直接有效的控制也更为符合电网对于风力发电系统的要求,有学者针对DPC在不平衡电网下的应用,提出了一种功率补偿措施,通过在功率参考值中加入不同的补偿,可以分别实现不同的控制目标。然而,这种控制策略中功率补偿值的计算过程仍然需要用到电压和电流的正负序分量。谐振控制器(R)由于其只对特定频率的变量具有较大增益的特性,在不平衡电网下改进控制策略的研究中得到广泛应用。在VC和DPC中,都有通过PI控制器和R控制器相结合,分别对直流分量和二倍频脉动分量实施控制,来实现不平衡电网下DFIG的有效控制。然而,在这种控制策略中,电流参考值的计算仍然需要利用电流的负序分量。由以上分析可知,目前众多不平衡电网下DFIG的改进控制策略的研究都是要基于电网电压、电流正负序分离的,不仅会增加系统的复杂程度,对于分离过程的准确性还会有较大依赖。因此,研究如何能够在不需要电网电压、电流正负序分离的前提下实现DFIG的有效控制,对于DFIG在不平衡电网下的改进控制策略的进一步发展具有重要意义。For a long time, vector control (VC) has been the mainstream control strategy of doubly-fed wind power generation system. VC decouples the active and reactive currents through two PI controllers, which has excellent steady-state performance, but the dynamic performance of VC is not satisfactory due to the hysteresis effect of the integral link. Aiming at the improved control strategy of VC under unbalanced power grid, some scholars proposed an improved strategy using two sets of PI controllers to control the positive and negative sequence current components respectively. However, the process of separating the positive and negative sequences of voltage and current greatly increases the complexity of the system, and if the separation is inaccurate, it will seriously affect the control performance of the system. In recent years, direct power control strategy (DPC) has attracted more and more attention, and its direct and effective control of power is more in line with the requirements of the grid for wind power generation systems. Some scholars have aimed at the application of DPC in unbalanced grids. A power compensation measure is proposed. By adding different compensations to the power reference value, different control objectives can be achieved respectively. However, the calculation process of power compensation value in this control strategy still needs to use the positive and negative sequence components of voltage and current. Resonant controller (R) has been widely used in the study of improved control strategies in unbalanced power grids because of its characteristic of large gain only for specific frequency variables. In both VC and DPC, the PI controller and R controller are combined to control the DC component and the double frequency pulsating component respectively, so as to realize the effective control of DFIG under unbalanced power grid. However, in this control strategy, the calculation of the current reference value still needs to utilize the negative sequence component of the current. From the above analysis, it can be seen that the research on the improved control strategy of DFIG under the unbalanced power grid is based on the separation of the positive and negative sequences of the grid voltage and current, which will not only increase the complexity of the system, but also have a greater impact on the accuracy of the separation process. Big dependency. Therefore, it is of great significance for the further development of the improved control strategy of DFIG under the unbalanced power grid to study how to realize the effective control of DFIG without the separation of positive and negative sequences of grid voltage and current.

发明内容Contents of the invention

鉴于上述,本发明提供了一种不平衡电网下DFIG基于拓展有功功率的滑模变结构直接功率控制方法,无需电网电压、电流的正负序分离,且控制结构十分简单,能够在不平衡电网下实现平稳的电磁转矩,无功功率和正弦的定子电流。In view of the above, the present invention provides a sliding mode variable structure direct power control method based on extended active power of DFIG in an unbalanced power grid, which does not require the separation of positive and negative sequences of the grid voltage and current, and the control structure is very simple, which can be used in unbalanced power grids. Under the stable electromagnetic torque, reactive power and sinusoidal stator current.

一种不平衡电网下DFIG基于拓展有功功率的滑模变结构直接功率控制方法,包括如下步骤:A sliding mode variable structure direct power control method based on DFIG extended active power under an unbalanced power grid, comprising the following steps:

(1)采集DFIG的三相定子电压Usabc和三相定子电流Isabc,并通过检测计算得到DFIG的转子角频率ωr和转子位置角θr(1) Collect the three-phase stator voltage U sabc and the three-phase stator current I sabc of DFIG, and obtain the rotor angular frequency ω r and rotor position angle θ r of DFIG through detection and calculation;

(2)分别对所述三相定子电压Usabc和三相定子电流Isabc进行Clark变换,对应得到静止α-β坐标系下的定子电压矢量Usαβ和定子电流矢量Isαβ;进而将所述定子电压矢量Usαβ滞后四分之一周期,得到滞后的定子电压矢量U'sαβ(2) Perform Clark transformation on the three-phase stator voltage U sabc and the three-phase stator current I sabc respectively, correspondingly obtain the stator voltage vector U sαβ and the stator current vector I sαβ under the static α-β coordinate system; The stator voltage vector U sαβ is delayed by a quarter cycle, and the lagged stator voltage vector U' sαβ is obtained ;

(3)对所述定子电压矢量Usαβ进行积分,得到定子磁链矢量ψsαβ(3) integrating the stator voltage vector U sαβ to obtain the stator flux vector ψ sαβ ;

(4)根据定子电压矢量Usαβ、滞后的定子电压矢量U'sαβ和定子电流矢量Isαβ计算出DFIG定子输出的拓展有功功率Ps new和无功功率Qs(4) Calculate the extended active power P s new and reactive power Q s output by the DFIG stator according to the stator voltage vector U sαβ , the lagging stator voltage vector U' sαβ and the stator current vector I sαβ ;

(5)通过对所述拓展有功功率Ps new和无功功率Qs进行滑模变结构直接功率控制,从而计算得到DFIG的调制电压矢量Urαβ(5) By performing sliding mode variable structure direct power control on the expanded active power P s new and reactive power Q s , the modulated voltage vector U rαβ of DFIG is calculated;

(6)利用转子位置角θ对所述调制电压矢量Urαβ进行Park变换,得到转子参考坐标系下的调制电压矢量Urdq,进而利用SVPWM(空间矢量脉宽调制)算法构造出一组PWM信号以对DFIG的机侧变换器进行控制。(6) Use the rotor position angle θ to perform Park transformation on the modulation voltage vector U rαβ to obtain the modulation voltage vector U rdq in the rotor reference coordinate system, and then use the SVPWM (Space Vector Pulse Width Modulation) algorithm to construct a set of PWM signals To control the generator-side converter of DFIG.

所述步骤(2)中根据以下算式对三相定子电压Usabc和三相定子电流Isabc进行Clark变换:In the step (2), Clark transformation is carried out to the three-phase stator voltage U sabc and the three-phase stator current I sabc according to the following formula:

其中:U和U对应为定子电压矢量Usαβ的α轴分量和β轴分量,I和I对应为定子电流矢量Isαβ的α轴分量和β轴分量,Usa、Usb、Usc分别为三相定子电压Usabc对应A、B、C三相上的相电压,Isa、Isb、Isc分别为三相定子电流Isabc对应A、B、C三相上的相电流。Among them: U and U correspond to the α-axis component and β-axis component of the stator voltage vector U sαβ , I and I correspond to the α-axis component and β-axis component of the stator current vector I sαβ , U sa , U sb , U sc is the three-phase stator voltage U sabc corresponding to the phase voltage on the three phases A, B, and C, I sa , I sb , and I sc are the three-phase stator current I sabc corresponding to the phases on the three phases A, B, and C current.

所述步骤(3)中根据以下算式对定子电压矢量Usαβ进行积分:In the step (3), the stator voltage vector U sαβ is integrated according to the following formula:

其中:ψ和ψ对应为定子磁链矢量ψsαβ的α轴分量和β轴分量,U(τ)和U(τ)对应为τ时刻定子电压矢量Usαβ的α轴分量和β轴分量,t为系统运行时长。Among them: ψ and ψ correspond to the α-axis component and β-axis component of the stator flux vector ψ sαβ , U (τ) and U (τ) correspond to the α-axis component and β of the stator voltage vector U sαβ at time τ axis component, and t is the running time of the system.

所述步骤(4)中通过以下公式计算DFIG定子输出的拓展有功功率Ps new和无功功率QsIn the step (4), the extended active power P s new and reactive power Q s output by the DFIG stator are calculated by the following formula:

其中:U和U对应为定子电压矢量Usαβ的α轴分量和β轴分量,I和I对应为定子电流矢量Isαβ的α轴分量和β轴分量,U'和U'对应为滞后的定子电压矢量U'sαβ的α轴分量和β轴分量。Among them: U and U correspond to the α-axis component and β-axis component of the stator voltage vector U sαβ , I and I correspond to the α-axis component and β-axis component of the stator current vector I sαβ , U' and U' corresponds to the α-axis component and β-axis component of the delayed stator voltage vector U' sαβ .

所述步骤(5)中基于以下方程对拓展有功功率Ps new和无功功率Qs进行滑模变结构直接功率控制:In the step (5), the sliding mode variable structure direct power control is carried out based on the following equations to expand the active power P s new and the reactive power Q s :

其中:U和U对应为调制电压矢量Urαβ的α轴分量和β轴分量,U和U对应为定子电压矢量Usαβ的α轴分量和β轴分量,I和I对应为定子电流矢量Isαβ的α轴分量和β轴分量,U'和U'对应为滞后的定子电压矢量U'sαβ的α轴分量和β轴分量,ψ和ψ对应为定子磁链矢量ψsαβ的α轴分量和β轴分量,Kp和Kq对应为扩展有功功率和无功功率给定的积分调节参数,Kps和Kqs对应为扩展有功功率和无功功率给定的开关函数调节参数,Lm为DFIG的定转子互感,Lr和Ls分别为DFIG的转子电感和定子电感,和Qsref分别为给定的拓展有功功率参考值和无功功率参考值,ep(τ)和eq(τ)对应为τ时刻扩展有功功率和无功功率的误差值,ω1为电网电压的角频率,j=1或2,λj为开关函数给定的边界值,t为系统运行时长。Among them: U and U correspond to the α-axis component and β-axis component of the modulation voltage vector U rαβ , U and U correspond to the α-axis component and β-axis component of the stator voltage vector U sαβ , and I and I correspond to is the α-axis component and β-axis component of the stator current vector I sαβ , U' and U' correspond to the α-axis component and β-axis component of the lagging stator voltage vector U' sαβ , and ψ and ψ correspond to the stator magnetic The α-axis component and β-axis component of the chain vector ψ sαβ , K p and K q correspond to the integral adjustment parameters of the extended active power and reactive power, and K ps and K qs correspond to the extended active power and reactive power given The switching function of the adjustment parameter, L m is the stator-rotor mutual inductance of DFIG, L r and L s are the rotor inductance and stator inductance of DFIG respectively, and Q sref are the given extended active power reference value and reactive power reference value respectively, e p (τ) and e q (τ) correspond to the error values of extended active power and reactive power at time τ, and ω 1 is the power grid The angular frequency of the voltage, j = 1 or 2, λ j is the boundary value given by the switching function, and t is the operating time of the system.

所述步骤(6)中根据以下算式对调制电压矢量Urαβ进行Park变换:In the step (6), Park transformation is carried out to the modulation voltage vector U rαβ according to the following formula:

其中:U和U对应为调制电压矢量Urαβ的α轴分量和β轴分量,Urd和Urq对应为调制电压矢量Urdq的d轴分量和q轴分量。Among them: U and U correspond to the α-axis component and β-axis component of the modulation voltage vector U rαβ , U rd and U rq correspond to the d-axis component and q-axis component of the modulation voltage vector U rdq .

本发明是在不平衡电网下DFIG数学模型的基础上,提出了一种拓展的有功功率,并将这种拓展的有功功率和传统的无功功率作为控制对象,将滑模变结构算法与DPC技术相结合,进而提出了一种改进的基于拓展有功功率的滑模变结构直接功率控制策略;本发明方法在无需电网电压电流正负序分离的前提下,就可以实现DFIG在不平衡电网下的有效控制,得到平稳的电磁转矩和无功功率以及正弦的定子电流;本发明控制系统实现极为简单,不需要锁相环对电网电压的频率进行实时监测。The present invention proposes an expanded active power based on the DFIG mathematical model under the unbalanced power grid, and takes the expanded active power and the traditional reactive power as control objects, and combines the sliding mode variable structure algorithm with the DPC technology, and then proposed an improved sliding mode variable structure direct power control strategy based on extended active power; the method of the present invention can realize DFIG under the unbalanced power grid without separating the positive and negative sequences of the grid voltage and current The effective control can obtain stable electromagnetic torque, reactive power and sinusoidal stator current; the control system of the present invention is extremely simple to implement, and does not need a phase-locked loop to monitor the frequency of the grid voltage in real time.

本发明中提出的拓展功率理论,不仅可以与滑模变结构直接功率控制策略相结合,还可以与多种直接功率控制策略相结合形成不平衡电网下的改进控制策略。其控制思想具有较为广泛的适用性。The extended power theory proposed in the present invention can not only be combined with the sliding mode variable structure direct power control strategy, but also can be combined with multiple direct power control strategies to form an improved control strategy under unbalanced power grid. Its control idea has wider applicability.

附图说明Description of drawings

图1为DFIG系统的结构示意图。Figure 1 is a schematic diagram of the structure of the DFIG system.

图2为本发明控制方法的系统实现原理示意图。Fig. 2 is a schematic diagram of the system realization principle of the control method of the present invention.

图3为本发明基于拓展有功功率的DFIG滑模变结构直接功率控制系统在定子电压单向跌落50%的不平衡电网下的稳态响应波形图;其中,Usabc为三相定子电压,Isabc为三相定子电流,Irabc为三相转子电流,P为有功功率,Q为无功功率,Te为电磁转矩。Fig. 3 is the steady-state response waveform figure of the DFIG sliding mode variable structure direct power control system based on the expansion of active power of the present invention under the unbalanced grid where the stator voltage unidirectionally drops 50%; wherein, U sabc is the three-phase stator voltage, I sabc is the three-phase stator current, I rabc is the three-phase rotor current, P is the active power, Q is the reactive power, and Te is the electromagnetic torque.

图4为本发明基于拓展有功功率的DFIG滑模变结构直接功率控制系统在定子电压单向跌落50%的不平衡电网下的定子A相电流的频谱分析图。Fig. 4 is a spectrum analysis diagram of stator A-phase current of the DFIG sliding mode variable structure direct power control system based on extended active power in an unbalanced power grid where the stator voltage unidirectionally drops 50%.

具体实施方式detailed description

为了更为具体地描述本发明,下面结合附图及具体实施方式对本发明的技术方案进行详细说明。In order to describe the present invention more specifically, the technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

本发明基于拓展有功功率的DFIG滑模变结构直接功率控制方法的系统实现如图2所示,系统包括一台2kW的DFIG1、与DFIG转子绕组相连的电压源型变换器2、用于检测DFIG定子三相电压的电压传感器3、用于检测DFIG定子三相电流的电流霍尔传感器4、用于检测DFIG转子位置角的编码器12、获取机组转速的微分器11以及实现DFIG输出有功、无功功率调节的控制回路。控制回路由反馈信号处理通道和前向控制通道构成,其中前向控制通道包括SVPWM信号发生器5、滑模变结构控制运算模块6、两相静止/旋转坐标变换模块13;反馈信号处理通道包括用于获取定子两相静止坐标系中的定子电压、定子电流矢量信号的三相/两相静止坐标变换模块7、滞后的定子电压计算模块8、功率计算模块9、磁链计算模块10。The system realization of the DFIG sliding mode variable structure direct power control method based on the expanded active power of the present invention is shown in Fig. The voltage sensor 3 for the three-phase voltage of the stator, the current Hall sensor 4 for detecting the three-phase current of the DFIG stator, the encoder 12 for detecting the position angle of the DFIG rotor, the differentiator 11 for obtaining the rotational speed of the unit, and the realization of DFIG output active power and reactive power Control loop for power regulation. The control loop is composed of a feedback signal processing channel and a forward control channel, wherein the forward control channel includes a SVPWM signal generator 5, a sliding mode variable structure control operation module 6, and a two-phase stationary/rotating coordinate transformation module 13; the feedback signal processing channel includes A three-phase/two-phase static coordinate transformation module 7, a lagging stator voltage calculation module 8, a power calculation module 9, and a flux linkage calculation module 10 for obtaining stator voltage and stator current vector signals in a stator two-phase static coordinate system.

如图2所示,本发明DFIG滑模直接功率控制方法包括以下步骤:As shown in Figure 2, the DFIG sliding mode direct power control method of the present invention comprises the following steps:

(1)利用三个电压霍尔传感器3采集DFIG三相定子电压信号Usabc;利用三相电流霍尔传感器4采集三相定子电流信号Isabc(1) Utilize three voltage Hall sensors 3 to collect the DFIG three-phase stator voltage signal U sabc ; utilize the three-phase current Hall sensor 4 to collect the three-phase stator current signal I sabc ;

(2)采用编码器12检测DFIG的转子位置θr,再经过微分器11计算转子角频率ωr(2) Use the encoder 12 to detect the rotor position θ r of DFIG, and then calculate the angular frequency ω r of the rotor through the differentiator 11;

(3)将采集得到的三相定子电压信号Usabc和三相定子电流信号Isabc经静止三相到二相坐标变换模块7,得到定子坐标系下的定子电压矢量Usαβ和定子电流矢量Isαβ;以定子电压为例,从静止三相到二相坐标变换的表达式为:(3) Pass the collected three-phase stator voltage signal U sabc and three-phase stator current signal I sabc through the static three-phase to two-phase coordinate transformation module 7 to obtain the stator voltage vector U sαβ and stator current vector I in the stator coordinate system sαβ ; taking the stator voltage as an example, the expression of coordinate transformation from static three-phase to two-phase is:

(4)将采集得到的定子电压矢量Usαβ经过滞后的定子电压计算模块8,将其滞后四分之一周期,得到滞后的定子电压矢量U'sαβ(4) The stator voltage vector U sαβ that is collected is passed through the stator voltage calculation module 8 of the lag, and it is lagged by a quarter cycle to obtain the stator voltage vector U' sαβ of the lag;

(5)将采集到的定子电压矢量Usαβ经过磁链计算模块10,得到定子磁链矢量ψsαβ,磁链的计算公式为:(5) Pass the collected stator voltage vector U sαβ through the flux linkage calculation module 10 to obtain the stator flux linkage vector ψ sαβ , and the calculation formula of the flux linkage is:

(6)将采集得到的定子电压矢量Usαβ、定子电流矢量Isαβ和滞后的定子电压矢量U'sαβ通过转子侧功率计算模块9计算定子输出的拓展有功功率、无功功率信号Qs,有功、无功功率计算公式为:(6) The acquired stator voltage vector U sαβ , stator current vector I sαβ and lagged stator voltage vector U' sαβ are calculated through the rotor side power calculation module 9 to calculate the expanded active power and reactive power signals output by the stator Q s , the calculation formula of active and reactive power is:

(7)将根据步骤(4)得到的定子向电网输出的拓展有功功率、无功功率Ps new、Qs与给定的定子拓展有功功率、无功功率参考值Qsref及定子电压矢量Usαβ、滞后的定子电压矢量U'sαβ、定子电流矢量Isαβ、定子磁链矢量ψsαβ、电网电压角频率ω1和转子角频率ωr输入到滑模变结构功率控制模块6,计算得到DFIG的调制电压矢量Urαβ(7) Combine the extended active power, reactive power P s new , Q s output by the stator to the grid obtained according to step (4) and the given stator extended active power and reactive power reference value Q sref and stator voltage vector U sαβ , lagging stator voltage vector U' sαβ , stator current vector I sαβ , stator flux vector ψ sαβ , grid voltage angular frequency ω 1 and rotor angular frequency ω r are input to the sliding mode variable structure power The control module 6 calculates the modulation voltage vector U rαβ of DFIG;

滑模变结构直接功率控制模块6的计算原理如下:The calculation principle of the sliding mode variable structure direct power control module 6 is as follows:

7.1控制目标为定子有功、无功功率跟随其参考值,即功率误差为零,因此定义滑模面为:7.1 The control target is that the active and reactive power of the stator follow its reference value, that is, the power error is zero, so the sliding mode surface is defined as:

S=[S1 S2]T S=[S 1 S 2 ] T

其中,Kp和Kq分别为扩展有功功率和无功功率积分调节参数,且Kp>0、Kq>0,ep和eq分别为扩展有功功率和无功功率误差,即:Among them, K p and K q are the integral adjustment parameters of extended active power and reactive power respectively, and K p >0, K q >0, e p and e q are the errors of extended active power and reactive power respectively, that is:

当ep、eq趋于零,即可实现控制目标。When e p and e q tend to zero, the control objective can be achieved.

7.2为了使系统的状态趋近于滑模面,可构造Lyapunov函数如下:7.2 In order to make the state of the system close to the sliding surface, the Lyapunov function can be constructed as follows:

该Lyapunov函数的导函数可以计算如下:The derivative of this Lyapunov function can be calculated as follows:

其中,由7.1中公式可得:Among them, it can be obtained from the formula in 7.1:

7.3由DFIG数学模型可得拓展有功和无功功率变化率为:7.3 From the DFIG mathematical model, the expansion rate of active and reactive power can be obtained as:

7.4将7.3中公式带入7.2得:7.4 Bring the formula in 7.3 into 7.2 to get:

其中:in:

由Lyapunov稳定性可知,当W大于等于零且其导数小于零时,系统趋于稳定。According to the Lyapunov stability, when W is greater than or equal to zero and its derivative is less than zero, the system tends to be stable.

7.5构建如下关系式:7.5 Construct the following relational formula:

其中:Kps和Kqs分别为拓展有功功率和无功功率的开关函数调节参数,且Kps>0、Kqs>0,sgn(S1)和sgn(S2)为拓展有功功率和无功功率的开关函数:Among them: K ps and K qs are the switching function adjustment parameters for expanding the active power and reactive power respectively, and K ps >0, K qs >0, sgn(S 1 ) and sgn(S 2 ) are the expansion of active power and reactive power Switching function for work power:

其中,λj为该开关函数的边界值,j=1,2。Wherein, λ j is the boundary value of the switch function, j=1,2.

将该方程带入7.4中方程得:Put this equation into the equation in 7.4 to get:

可确保W的导数小于零,系统稳定。It can ensure that the derivative of W is less than zero and the system is stable.

(8)将调制电压矢量Urαβ通过两相静止/旋转坐标变换模块13变换到转子参考坐标系,得到Urdq,从两相静止坐标系到两相旋转坐标系的计算公式为:(8) Transform the modulation voltage vector U rαβ to the rotor reference coordinate system through the two-phase stationary/rotating coordinate transformation module 13 to obtain U rdq , and the calculation formula from the two-phase stationary coordinate system to the two-phase rotating coordinate system is:

(9)将Urdq的值作为SVPWM信号产生模块5的参考值,调制得到DFIG转子侧变换器的开关信号Sa、Sb、Sc(9) Use the value of U rdq as the reference value of the SVPWM signal generation module 5, and modulate to obtain the switching signals S a , S b , and S c of the DFIG rotor side converter;

(10)将得到的开关信号Sa、Sb、Sc经过驱动模块驱动开关器件,实现基于拓展有功功率的滑模变结构直接功率控制。(10) The obtained switching signals S a , S b , and S c are driven through the driving module to drive the switching devices, so as to realize the sliding mode variable structure direct power control based on the expanded active power.

参见图3,在本发明基于拓展有功功率的DFIG滑模变结构直接功率控制方法下,本实施方式控制系统在定子电压单向跌落50%的不平衡电网下,无功功率和电磁转矩波形平稳;定子三相电流波形正弦,整体控制效果十分理想。Referring to Fig. 3, under the DFIG sliding mode variable structure direct power control method based on the expanded active power of the present invention, the reactive power and electromagnetic torque waveforms of the control system in this embodiment are Stable; the stator three-phase current waveform is sinusoidal, and the overall control effect is very ideal.

参见图4,可以看出在本发明基于拓展有功功率的DFIG滑模变结构直接功率控制方法下,本实施方式控制系统在定子电压单向跌落50%的不平衡电网下的定子电流谐波含量THD很小。Referring to Figure 4, it can be seen that under the DFIG sliding mode variable structure direct power control method based on expanded active power in the present invention, the harmonic content of the stator current in the control system of this embodiment under the unbalanced power grid where the stator voltage drops 50% in one direction THD is very small.

综上所述,本发明基于拓展有功功率的DFIG滑模变结构直接功率控制方法在无需电网电压电流正负序分离的前提下,就可以实现DFIG在不平衡电网下的有效控制,得到平稳的电磁转矩和无功功率以及正弦的定子电流;本发明控制结构极为简单,不需要锁相环对电网电压的频率进行实时监测。In summary, the DFIG sliding mode variable structure direct power control method based on the expanded active power in the present invention can realize the effective control of DFIG under the unbalanced power grid without the separation of the positive and negative sequences of the grid voltage and current, and obtain a stable Electromagnetic torque, reactive power and sinusoidal stator current; the control structure of the invention is extremely simple, and no phase-locked loop is needed to monitor the frequency of the grid voltage in real time.

Claims (6)

1. a kind of sliding moding structure direct Power Control method based on expansion active power for the DFIG under unbalanced power grid, including such as Lower step:
(1) gather the threephase stator voltage U of DFIGsabcWith threephase stator electric current Isabc, and turning of DFIG is calculated by detection Sub- angular frequencyrWith rotor position angle θr
(2) respectively to described threephase stator voltage UsabcWith threephase stator electric current IsabcCarry out Clark conversion, correspondence obtains static Stator voltage vector U under alpha-beta coordinate systemsαβWith stator current vector Isαβ;And then by described stator voltage vector UsαβDelayed four In/mono- cycle, obtain delayed stator voltage vector U'sαβ
(3) to described stator voltage vector UsαβIt is integrated, obtain stator magnetic linkage vector ψsαβ
(4) according to stator voltage vector Usαβ, delayed stator voltage vector U'sαβWith stator current vector IsαβCalculate DFIG The expansion active-power P of stator outputs newAnd reactive power Qs
(5) by described expansion active-power Ps newAnd reactive power QsCarry out sliding moding structure direct Power Control, thus counting Calculate the modulation voltage vector U obtaining DFIGrαβ
(6) utilize rotor position angle θ to described modulation voltage vector UrαβCarry out Park conversion, obtain under rotor reference coordinate system Modulation voltage vector Urdq, and then go out one group of pwm signal using SVPWM algorithm construction and carried out with the machine-side converter to DFIG Control.
2. sliding moding structure direct Power Control method according to claim 1 it is characterised in that:In described step (2) According to following formula to threephase stator voltage UsabcWith threephase stator electric current IsabcCarry out Clark conversion:
U s α U s β = 2 3 1 - 1 2 - 1 2 0 3 2 - 3 2 U s a U s b U s c I s α I s β = 2 3 1 - 1 2 - 1 2 0 3 2 - 3 2 I s a I s b I s c
Wherein:UAnd UCorrespond to stator voltage vector Usαβα axle component and beta -axis component, IAnd ICorrespond to stator current Vector Isαβα axle component and beta -axis component, Usa、Usb、UscIt is respectively threephase stator voltage UsabcPhase on corresponding A, B, C three-phase Voltage, Isa、Isb、IscIt is respectively threephase stator electric current IsabcPhase current on corresponding A, B, C three-phase.
3. sliding moding structure direct Power Control method according to claim 1 it is characterised in that:In described step (3) According to following formula to stator voltage vector UsαβIt is integrated:
ψ s α = ∫ 0 t U s α ( τ ) d τ ψ s β = ∫ 0 t U s β ( τ ) d τ
Wherein:ψAnd ψCorrespond to stator magnetic linkage vector ψsαβα axle component and beta -axis component, U(τ) and U(τ) when corresponding to τ Carve stator voltage vector Usαβα axle component and beta -axis component, t be system operation duration.
4. sliding moding structure direct Power Control method according to claim 1 it is characterised in that:In described step (4) Calculate the expansion active-power P of DFIG stator output by below equations newAnd reactive power Qs
P s n e w = 3 2 [ U ′ s α I s β - U ′ s β I s α ]
Q s = - 3 2 [ U s α I s β - U s β I s α ]
Wherein:UAnd UCorrespond to stator voltage vector Usαβα axle component and beta -axis component, IAnd ICorrespond to stator current Vector Isαβα axle component and beta -axis component, U'And U'Correspond to delayed stator voltage vector U'sαβα axle component and β axle Component.
5. sliding moding structure direct Power Control method according to claim 1 it is characterised in that:In described step (5) Based on below equation to expansion active-power Ps newAnd reactive power QsCarry out sliding moding structure direct Power Control:
U = - D - 1 { G + K p s 0 0 K q s sgn ( S 1 ) sgn ( S 2 ) }
U = U r α U r β D = 3 2 σ ′ L m - U ′ s β U ′ s α U s β - U s α
G = - 3 L r 2 σ ′ L m 2 U s β U ′ s α - U s α U ′ s β 0 + 3 L r ω r 2 σ ′ L m 2 ψ s β U ′ s α - ψ s α U ′ s β ψ s α U s β - ψ s β U s α - - ω 1 Q s - 3 / 2 ω r ( U ′ s α I s β - U ′ s β I s α ) ω 1 P s n e w + 3 / 2 ω r ( U s α I s α + U s β I s β ) + K p e p K q e q
e p = P s r e f n e w - P s n e w e q = Q s r e f - Q s S 1 = e p + K p &Integral; 0 t e p ( &tau; ) d &tau; S 2 = e q + K q &Integral; 0 t e q ( &tau; ) d &tau; sgn ( S j ) = 1 , S j > &lambda; j S j &lambda; j , | S j | &le; &lambda; j - 1 , S j < - &lambda; j
Wherein:UAnd UCorrespond to modulation voltage vector Urαβα axle component and beta -axis component, UAnd UCorrespond to stator voltage Vector Usαβα axle component and beta -axis component, IAnd ICorrespond to stator current vector Isαβα axle component and beta -axis component, U' And U'Correspond to delayed stator voltage vector U'sαβα axle component and beta -axis component, ψAnd ψCorrespond to stator magnetic linkage vector ψsαβα axle component and beta -axis component, KpAnd KqCorrespond to extend the integral adjustment parameter that active power and reactive power give, Kps And KqsCorrespond to extend the switch function regulation parameter that active power and reactive power give,LmFor The rotor mutual inductance of DFIG, LrAnd LsIt is respectively inductor rotor and the stator inductance of DFIG,And QsrefIt is respectively given opening up Exhibition active power reference value and reactive power reference qref, ep(τ) and eq(τ) corresponding to the τ moment extends active power and reactive power Error amount, ω1For the angular frequency of line voltage, j=1 or 2, λjThe boundary value giving for switch function, when t is system operation Long.
6. sliding moding structure direct Power Control method according to claim 1 it is characterised in that:In described step (6) According to following formula to modulation voltage vector UrαβCarry out Park conversion:
U r d U r q = cos&theta; r sin&theta; r - sin&theta; r cos&theta; r U r &alpha; U r &beta;
Wherein:UAnd UCorrespond to modulation voltage vector Urαβα axle component and beta -axis component, UrdAnd UrqCorrespond to modulation voltage Vector UrdqD axle component and q axle component.
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