CN110048423B - Current control method for immune power grid voltage harmonic interference - Google Patents
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- H—ELECTRICITY
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- H—ELECTRICITY
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Abstract
Description
技术领域technical field
本发明属于电力系统中的新能源发电、微电网控制技术领域,涉及一种新能源发电并网且电网含谐波的情况下对并网电流的控制方法。The invention belongs to the technical field of new energy power generation and micro-grid control in electric power systems, and relates to a method for controlling grid-connected current when new energy power generation is connected to a grid and the grid contains harmonics.
背景技术Background technique
近年来,随着不可再生能源的不断消耗,能源紧缺的现象普遍存在。光伏、风力等新能源的开发利用日渐加快,分布式发电技术越来越受到重视。在分布式发电系统中,逆变器在可再生能源与电网之间的能量转换过程中起到接口作用,并且在分布式发电系统中也扮演着极其重要的角色。然而,由于电网电压存在谐波,三相并网逆变器的并网电流畸变现象普遍发生。同时并网逆变器的正常工作需要准确的电网电压相位和频率信息。因此,优化并网电流波形和提高电流的跟踪性能对提高电能质量很有必要。In recent years, with the continuous consumption of non-renewable energy, the phenomenon of energy shortage is widespread. The development and utilization of new energy sources such as photovoltaics and wind power are accelerating day by day, and distributed power generation technology is receiving more and more attention. In the distributed generation system, the inverter plays an interface role in the energy conversion process between the renewable energy source and the grid, and also plays an extremely important role in the distributed generation system. However, due to the presence of harmonics in the grid voltage, grid-connected current distortion of three-phase grid-connected inverters generally occurs. At the same time, the normal operation of the grid-connected inverter requires accurate grid voltage phase and frequency information. Therefore, it is necessary to optimize the grid-connected current waveform and improve the tracking performance of the current to improve the power quality.
传统并网逆变器控制策略采用dq同步坐标系下的比例积分(PI)控制方法,以实现稳态无静差的电压相位频率的跟踪。但在实际应用中往往会受到直流侧波动、开关器件的死区时间和电网电压谐波等因素的影响,使得并网电流波形发生畸变,电流跟踪电网信息能力减弱,对电网造成严重的谐波污染。授权公告号为CN105763094A的中国专利提出了一种基于电压前馈控制和复合电流控制的逆变器控制方法,该方法在按照无差拍控制得到参考电压过程中利用公共连接点PCC的电压预测值作为电压前馈并采用了复合电流控制,避免LCL滤波器发生谐振,提高了控制算法的控制精度。但这种方法没有涉及对电流基波信号的调制,也未提及电网电压谐波影响情况下电网电压锁相问题;授权公告号为CN104037800A的中国专利提出了一种光伏并网逆变器电流控制方法。该方法利用PID电流控制,去除对干扰信号敏感的微分分量和无法实现交流信号零静差的积分分量,以此增强逆变器电网畸变和谐波干扰的抵抗能力。但这种方法未提及电网电压谐波对实现精确的电网电压基波幅值、频率和相位信息提取的影响。由于类似的这些算法没有充分的考虑到电网电压谐波对整个并网系统的影响,尤其是对并网电流和电网电压锁相环节的影响,所以,有必要研究一种三相电网电压谐波环境下的电流控制技术以实现并网电流对谐波的免疫并可广泛应用于功率变流技术,分布式并网系统等场合。The traditional grid-connected inverter control strategy adopts the proportional-integral (PI) control method in the dq synchronous coordinate system to realize the tracking of the voltage phase frequency in a steady state without static error. However, in practical applications, it is often affected by factors such as DC side fluctuations, dead time of switching devices, and grid voltage harmonics, which distorts the grid-connected current waveform, weakens the ability of the current to track grid information, and causes serious harmonics to the grid. pollute. The Chinese patent with the authorized announcement number CN105763094A proposes an inverter control method based on voltage feedforward control and composite current control. This method uses the voltage prediction value of the common connection point PCC in the process of obtaining the reference voltage according to deadbeat control. As a voltage feed-forward, compound current control is adopted to avoid resonance of the LCL filter and improve the control accuracy of the control algorithm. However, this method does not involve the modulation of the current fundamental wave signal, nor does it mention the grid voltage phase-locking problem under the influence of grid voltage harmonics; the Chinese patent with the authorized announcement number CN104037800A proposes a photovoltaic grid-connected inverter current Control Method. This method uses PID current control to remove the differential component sensitive to interference signals and the integral component that cannot achieve zero static error of AC signals, so as to enhance the inverter's resistance to grid distortion and harmonic interference. However, this method does not mention the impact of grid voltage harmonics on the realization of accurate grid voltage fundamental wave amplitude, frequency and phase information extraction. Since these similar algorithms do not fully consider the impact of grid voltage harmonics on the entire grid-connected system, especially the impact on grid-connected current and grid voltage phase-locking links, it is necessary to study a three-phase grid voltage harmonic The current control technology in the environment can realize the immunity of grid-connected current to harmonics and can be widely used in power conversion technology, distributed grid-connected systems and other occasions.
发明内容Contents of the invention
本发明的目的在于解决现有技术的不足,提出一种免疫电网电压谐波干扰的电流控制方法。该方法要解决的技术问题是受到电网电压谐波影响下并网电流发生畸变情况和无法精准获取电网电压相位信息的情况。并且本发明提出的算法实现了并网电流波形畸变的消除,算法中改进型的PLL模块保证了获取电网电压信息的准确性和并网电流与电网相位信息的同步性。从而提高了整个控制算法的鲁棒性。The purpose of the present invention is to solve the deficiencies of the prior art, and propose a current control method immune to grid voltage harmonic interference. The technical problem to be solved by this method is the distortion of grid-connected current under the influence of grid voltage harmonics and the inability to accurately obtain grid voltage phase information. Moreover, the algorithm proposed by the invention realizes the elimination of grid-connected current waveform distortion, and the improved PLL module in the algorithm ensures the accuracy of obtaining grid voltage information and the synchronization of grid-connected current and grid phase information. Thereby improving the robustness of the whole control algorithm.
本发明的具体技术方案为:一种免疫电网电压谐波干扰的电流控制方法,具体包括如下步骤:The specific technical solution of the present invention is: a current control method immune to grid voltage harmonic interference, specifically comprising the following steps:
S1,将电网电压Ea、Eb、Ec作为三相锁相环(phase-lock loop,PLL)模块的输入信号,并将其转换到同步旋转坐标系下得到电压Ed、Eq;S1, using the grid voltage E a , E b , E c as the input signal of the three-phase phase-lock loop (PLL) module, and converting it to the synchronous rotating coordinate system to obtain the voltage E d , E q ;
S2,在PLL模块中建立滑动平均滤波器(moving average filter,MAF)模块,然后将Ed、Eq分别输入到滑动平均滤波器模块中进行谐波消除,经过滤波后得到输出电压和 S2. Establish a moving average filter (MAF) module in the PLL module, and then input E d and E q into the moving average filter module to eliminate harmonics, and obtain an output voltage after filtering and
进一步的,所述S1和S2中三相电网电压Ea、Eb、Ec转换到同步旋转坐标系下Ed、Eq的具体实现方法为:Further, the specific implementation method of converting the three-phase grid voltages E a , E b , E c in S1 and S2 to E d , E q in the synchronous rotating coordinate system is as follows:
其中θ为锁相环采样到的电网电压相量θPLL,E0为零序分量。在Ed、Eq后面分别建立MAF模块,其传递函数为:Among them, θ is the grid voltage phasor θ PLL sampled by the phase-locked loop, and E 0 is the zero-sequence component. Establish the MAF module after E d and E q respectively, and its transfer function is:
式(2)是连续域表达式,式(3)是离散域表达式。Tω是MAF的窗口长度,其中式(3)是离散时间域表达式,其中,Tω=NTS,TS为采样时间,N为MAF的一个窗口长度内的采样次数。将s=jω代入(2)中,得到如下:Formula (2) is a continuous domain expression, formula (3) is a discrete domain expression. T ω is the window length of the MAF, where formula (3) is a discrete time domain expression, where T ω =NT S , T S is the sampling time, and N is the number of samples within a window length of the MAF. Substituting s=jω into (2), we get as follows:
其中|Gm|为MAF的增益因子。由此,由式(4)能够得到以下结论:where |G m | is the gain factor of MAF. Therefore, the following conclusions can be obtained from formula (4):
由式(5)可以得到,当ω=0的时候MAF模块的增益为1,当f=k/Tω(k=±1,±2,±3…)的时候增益为零。特别的,由仿真结果表明当窗口长度值Tω等于T和T/2的时候滤波效果较为明显,基本将5,7,11,13次谐波滤除。From formula (5), it can be obtained that when ω=0, the gain of the MAF module is 1, and when f=k/T ω (k=±1,±2,±3…), the gain is zero. In particular, the simulation results show that when the window length T ω is equal to T and T/2, the filtering effect is more obvious, and the 5th, 7th, 11th, and 13th harmonics are basically filtered out.
S3,建立相位超前补偿器的目的是为解决由MAF造成的相位延迟的问题,将相位超前模块串接到MAF模块后面,进而有效的加快了系统响应能力并且对电网电压正序分量进行了一定的相位上的补偿;S3. The purpose of establishing the phase lead compensator is to solve the problem of phase delay caused by MAF. The phase lead module is serially connected to the back of the MAF module, thereby effectively speeding up the system response capability and controlling the positive sequence component of the grid voltage to a certain extent. Compensation on the phase;
所示相位超前补偿器的传递函数为:The transfer function of the phase lead compensator shown is:
式中,r是衰减因子,其范围r∈[0,1),k=(1-rN)/(1-r)是一个标准化的直流采样增益。In the formula, r is the attenuation factor, and its range is r∈[0,1), and k=(1-r N )/(1-r) is a normalized DC sampling gain.
S4,将经过了滑动平均滤波器(MAF)和相位超前补偿器的电网电压基波信号输入到比例积积分控制器(Proportional Integral Controller,PI)中,得到本周期电网电压频率偏移量Δωi。然后将Δωi与理想电网电压频率ω0相加后获得本周期电网电压频率值ωi,该频率值输入积分器后获得本周期补偿前的电网电压相位值θPLL`;采用电网电压频率偏移量Δωi经过一个常数增益值kφ的方法,实现补偿Park变换的相位误差,则本周期补偿前的电网电压相位值θPLL`与(kφ*Δωi)的差作为Park变换的相位;S4. Input the grid voltage fundamental wave signal that has passed through the moving average filter (MAF) and the phase lead compensator to the proportional product integral controller (PI), and obtain the current cycle grid voltage frequency offset Δω i . Then add Δω i to the ideal grid voltage frequency ω 0 to obtain the grid voltage frequency value ω i in this cycle, and input the frequency value into the integrator to obtain the grid voltage phase value θ PLL ` before compensation in this cycle; The displacement Δω i passes through a constant gain value k φ to compensate the phase error of the Park transformation, then the difference between the grid voltage phase value θ PLL ` and (k φ *Δω i ) before compensation in this cycle is used as the phase of the Park transformation ;
由MAF引起的相位偏移可以等效为:The phase shift caused by MAF can be equivalent to:
由于系统到达稳态的时候,PLL的相位偏移为θ=θPLL`-kφΔωi,采用Park变换的旋转角度改变成(θPLL`-kφΔωi),实现在稳态的时候PI的输入信号就等于0。通过以上的控制,到达稳态的时候能输出零误差相位的θPLL。Since when the system reaches a steady state, the phase offset of the PLL is θ=θ PLL `-k φ Δω i , and the rotation angle of the Park transformation is changed to (θ PLL `-k φ Δω i ), realizing that in the steady state The input signal of PI is equal to 0. Through the above control, the θ PLL with zero error phase can be output when the steady state is reached.
S5,将跟踪到的电网电压相位θPLL作为三相电网电压Ea、Eb、Ec进行Park变换的旋转角度,得到同步旋转坐标系下的电压前馈量Edq。S5, use the tracked grid voltage phase θ PLL as the rotation angle of the three-phase grid voltage E a , E b , E c to perform Park transformation, and obtain the voltage feedforward amount E dq in the synchronous rotating coordinate system.
S6,采样得到的三相逆变器侧电流数据ia、ib、ic通过Clark变换为αβ坐标轴下的逆变器侧电流iαβ,S3中得到的电网电压相位θPLL作为iαβ进行Park变换的相位,转换得到同步旋转坐标系下电流idq,逆变器侧采样的idq与理想的额定值电流idq *相减得到偏差量Δidq,将其输入到比例积分控制器(PI)中进而输出逆变器侧基波电压调制信号ΔVdq;S6, the three-phase inverter-side current data i a , i b , and ic obtained by sampling are transformed by Clark into the inverter-side current i αβ on the αβ coordinate axis, and the grid voltage phase θ PLL obtained in S3 is used as i αβ Carry out the phase of Park transformation, convert to obtain the current i dq in the synchronous rotating coordinate system, subtract the i dq sampled by the inverter side from the ideal rated value current i dq * to obtain the deviation Δi dq , and input it to the proportional-integral controller (PI) and then output the inverter side fundamental wave voltage modulation signal ΔV dq ;
进一步的,S6步骤中得到ΔVdq的实现方式为:Further, the implementation method of obtaining ΔV dq in step S6 is:
其中比例控制器的s域的表达式为:GPI(s)=Kp+Ki/s。The expression of the s domain of the proportional controller is: G PI (s)=K p +K i /s.
S7,将S5中得到的电压前馈量Edq与S6中得到的逆变器侧基波电压调制信号ΔVdq相加后进行Park反变换,将S4中得到的电网电压相位θPLL作为其变换的相位。反变换后得到电压基波调制信号Vαβ;S7, add the voltage feed-forward amount E dq obtained in S5 to the inverter-side fundamental voltage modulation signal ΔV dq obtained in S6, and then perform Park inverse transformation, and use the grid voltage phase θ PLL obtained in S4 as its transformation phase. After inverse transformation, the voltage fundamental wave modulation signal V αβ is obtained;
S8,将理想的电流idq *进行Park反变换从旋转坐标下转换到αβ坐标轴下的iαβ *,然后iαβ *再与S6中逆变器侧采样得到的电流iαβ相减,得到αβ坐标轴下的电流偏差量Δiαβ;In S8, the ideal current i dq * is subjected to inverse Park transformation from rotating coordinates to i αβ * under the αβ coordinate axis, and then i αβ * is subtracted from the current i αβ obtained by sampling the inverter side in S6 to obtain The current deviation Δi αβ under the αβ coordinate axis;
S9,将S8中得到的电流偏差Δiαβ和S4中得到的电网电压相位θPLL作为谐波补偿器的输入量。将电流偏差量Δiα与测得电网电压相位θPLL的-5倍的余弦值相乘,将电流偏差Δiβ与-5倍的正弦值相乘,再将两个乘积值相加得到Δiq;将电流偏差量Δiα与测得电网电压相量θPLL的-5倍的正弦值相乘,将电流偏差Δiβ5与-5倍的余弦值相乘,再将两个乘积值相减得到Δid5;S9, using the current deviation Δi αβ obtained in S8 and the grid voltage phase θ PLL obtained in S4 as the input quantity of the harmonic compensator. Multiply the current deviation Δi α by the cosine value of -5 times the measured grid voltage phase θ PLL , multiply the current deviation Δi β by the sine value of -5 times, and then add the two product values to obtain Δi q ; Multiply the current deviation Δi α by the sine value of -5 times the measured grid voltage phasor θ PLL , multiply the current deviation Δi β5 by the cosine value of -5 times, and then subtract the two product values to obtain Δi d5 ;
S9步骤的实现方法为:The implementation method of the S9 step is:
S10,将S9中得到的Δidq5输入比例积分控制器(PI),输出旋转坐标系下5次谐波调制信号,同时将本周期得到的调制信号输入饱和限制器中,保证幅值在一定范围内。若幅值在额定范围内,饱和限制器输出为零,否则将超出量再经比例积分控制器调节至额定范围内最终得到5次谐波调制信号ΔVd5^和ΔVq5^;S10, input the Δi dq5 obtained in S9 into the proportional-integral controller (PI), output the 5th harmonic modulation signal under the rotating coordinate system, and input the modulation signal obtained in this cycle into the saturation limiter to ensure that the amplitude is within a certain range Inside. If the amplitude is within the rated range, the output of the saturation limiter is zero, otherwise the excess will be adjusted to the rated range by the proportional-integral controller to finally obtain the 5th harmonic modulation signal ΔV d5 ^ and ΔV q5 ^;
S10步骤得到的5次谐波调制信号ΔVd5^和ΔVq5^的具体实现方式为:The specific implementation of the 5th harmonic modulation signal ΔV d5 ^ and ΔV q5 ^ obtained in step S10 is:
其中,GPI(t)=Kpe(t)+Ki∫e(t)dt,其中Kp为比例系数,Ki为积分时间常数。Among them, G PI (t)=K p e(t)+K i ∫e(t)dt, where K p is the proportional coefficient, and K i is the integral time constant.
S9步骤中的饱和限制器的表达式如下:The expression of the saturation limiter in the S9 step is as follows:
其中u1值是反馈电流值,u2是常数值40,式(11)的含义是若u1∈(-u2,u2),则反馈值u为零,u1原值输出。否则,将u1和u2的差值做PI调节,直到u1被控到限制范围u2内为止。The value of u 1 is the feedback current value, and u 2 is a constant value of 40. The meaning of formula (11) is that if u 1 ∈ (-u 2 , u 2 ), the feedback value u is zero, and the original value of u 1 is output. Otherwise, the difference between u 1 and u 2 is PI adjusted until u 1 is controlled within the limit range u 2 .
S11,将S10中得到的5次谐波调制信号ΔVd5^与测得电网电压相量θPLL的-5倍的余弦值相乘,将谐波调制信号ΔVq5^与-5倍的正弦值相乘,再将两个乘积值相减得到ΔVα5^;将5次谐波调制信号ΔVd5^与测得的电网电压相量θPLL的-5倍的正弦值相乘,将调制信号ΔVq5^与-5倍的余弦值相乘,再将两乘积值相得到ΔVβ5^;S11, multiply the 5th harmonic modulation signal ΔV d5 ^ obtained in S10 by the cosine value of -5 times the measured grid voltage phasor θ PLL , and multiply the harmonic modulation signal ΔV q5 ^ by the sine value of -5 times Multiply, and then subtract the two product values to get ΔV α5 ^; multiply the 5th harmonic modulation signal ΔV d5 ^ with the sine value of -5 times the measured grid voltage phasor θ PLL , and modulate the signal ΔV Multiply q5 ^ with the cosine value of -5 times, and then add the two product values to get ΔV β5 ^;
S11步骤的实现方式为:The implementation of step S11 is:
进一步的,结合前面的(9)、(10)、(12)式整理得到实现方式为:Further, combined with the previous formulas (9), (10), and (12), the realization method is obtained as follows:
其中k为5、7、11、13次谐波,即各谐波调制方式类似。Among them, k is the 5th, 7th, 11th, and 13th harmonic, that is, the modulation methods of each harmonic are similar.
S12,将单电流闭环控制和电压前馈调制信号得到的电压基波调制信号Vαβ和谐波补偿器中得到的谐波调制信号ΔVαβ^相加然后经过Clark反变换得到三相电压调制信号,再经脉冲宽度调制(Pulse width modulation,PWM)后构造出逆变器H桥IGBT所需要的触发信号。S12, add the voltage fundamental modulation signal V αβ obtained from the single current closed-loop control and the voltage feedforward modulation signal and the harmonic modulation signal ΔV αβ ^ obtained from the harmonic compensator, and then undergo Clark inverse transformation to obtain a three-phase voltage modulation signal , and then construct the trigger signal required by the H-bridge IGBT of the inverter after pulse width modulation (Pulse width modulation, PWM).
与现有的技术相比,本发明的有益效果是:Compared with prior art, the beneficial effect of the present invention is:
1.本发明在传统的逆变器并网系统中,对并网电流的基波和谐波分别进行了调制,基波调制保证了并网电流的稳定,谐波调制则消除了电网电压谐波对并网电流的影响;1. In the traditional inverter grid-connected system, the present invention modulates the fundamental wave and harmonic of the grid-connected current respectively. The fundamental wave modulation ensures the stability of the grid-connected current, and the harmonic modulation eliminates the grid voltage harmonics. The impact of waves on the grid-connected current;
2.改进型的电压锁相环包括消除电网电压谐波的影响的MAF模块,此外还设计了相位补偿器对相位进行了补偿,实现了准确提取电网电压信息,增强了锁相环的鲁棒性,从而提高了并网系统电流控制的精度。2. The improved voltage phase-locked loop includes a MAF module that eliminates the influence of grid voltage harmonics. In addition, a phase compensator is designed to compensate the phase, which realizes accurate extraction of grid voltage information and enhances the robustness of the phase-locked loop. Therefore, the accuracy of the current control of the grid-connected system is improved.
附图说明Description of drawings
图1并网逆变器并网电流控制系统的整体原理框图;Figure 1 The overall functional block diagram of the grid-connected current control system of the grid-connected inverter;
图2电网电压基波频率、相位提取原理框图;Fig. 2 Principle block diagram of grid voltage fundamental wave frequency and phase extraction;
图3特定谐波消除模块的拓扑结构原理框图;Figure 3 is a schematic block diagram of the topology of a specific harmonic elimination module;
图4滑动平均滤波器(MAF)当窗口长度值Tω等于T和T/2的时候滤波效果伯德图;Fig. 4 moving average filter (MAF) when window length value T ω is equal to T and T/2 filtering effect Bode figure;
图5 MAF级联了三个不同r值的相位超前补偿器对相位的补偿效果伯德图;Figure 5. The Bode diagram of the phase compensation effect of MAF cascaded with three phase lead compensators with different r values;
图6加入谐波消除模块和网侧电压前馈前的三相并网电流(IA,IB,IC)仿真波形;Fig. 6 is the simulation waveform of the three-phase grid-connected current (I A , I B , I C ) before adding the harmonic elimination module and grid-side voltage feed-forward;
图7加入谐波消除模块前的三相并网电流(IA,IB,IC)仿真波形;Figure 7 is the three-phase grid-connected current (I A , I B , I C ) simulation waveform before adding the harmonic elimination module;
图8加入网侧电压前馈量前的三相并网电流(IA,IB,IC)仿真波形;Figure 8 is the simulation waveform of the three-phase grid-connected current (I A , I B , I C ) before adding the grid-side voltage feed-forward amount;
图9加入网侧电压前馈量和谐波消除模块后的三相并网电流(IA,IB,IC)仿真波形;Figure 9 is the simulated waveform of the three-phase grid-connected current (I A , I B , I C ) after adding the grid-side voltage feed-forward amount and the harmonic elimination module;
图10加入网侧电压前馈量前后的三相并网有功功率和无功功率的仿真波形对比图。Figure 10 is a comparison diagram of the simulated waveforms of the three-phase grid-connected active power and reactive power before and after adding the grid-side voltage feed-forward amount.
具体实施方式Detailed ways
下面结合附图对本发明的实施例作详细说明:本实施例在以本发明技术方案为前提下进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。The embodiments of the present invention are described in detail below in conjunction with the accompanying drawings: this embodiment is implemented on the premise of the technical solution of the present invention, and detailed implementation methods and specific operating procedures are provided, but the protection scope of the present invention is not limited to the following the described embodiment.
如图1所示为三相并网逆变器并网电流控制系统的整体原理框图。在电网电压谐波影响的情况下并网电流波形会发生畸变,进而影响到电流的跟踪性能,最终导致并网电流的质量的下降。所以从图1中可看到整个系统主要包含网侧的改进型锁相环模块,逆变器侧电流的基波控制环路和特定谐波调节模块。其中改进型锁相环模块对电网电压的精准快速的相位提取;电流基波控制环路修正了由谐波电压造成的偏差;特定谐波调节模块则消除了并网电流中的谐波量,进而使得并网电流质量符合并网标准。Figure 1 shows the overall functional block diagram of the three-phase grid-connected inverter grid-connected current control system. Under the influence of grid voltage harmonics, the grid-connected current waveform will be distorted, which will affect the tracking performance of the current, and eventually lead to the decline of the quality of the grid-connected current. Therefore, it can be seen from Figure 1 that the whole system mainly includes the improved phase-locked loop module on the grid side, the fundamental wave control loop of the inverter side current and the specific harmonic adjustment module. Among them, the improved phase-locked loop module can accurately and quickly extract the phase of the grid voltage; the current fundamental wave control loop corrects the deviation caused by the harmonic voltage; the specific harmonic adjustment module eliminates the harmonic content in the grid-connected current, In turn, the grid-connected current quality meets the grid-connected standards.
根据图1的原理框图按照如下步骤实施:According to the principle block diagram in Figure 1, implement according to the following steps:
S1,将电网电压Ea、Eb、Ec作为三相锁相环(phase-lock loop,PLL)模块的输入信号,并将其转换到同步旋转坐标系下得到电压Ed、Eq;S1, using the grid voltage E a , E b , E c as the input signal of the three-phase phase-lock loop (PLL) module, and converting it to the synchronous rotating coordinate system to obtain the voltage E d , E q ;
S2,在PLL模块中建立滑动平均滤波器(moving average filter,MAF)模块,然后将Ed、Eq分别输入到滑动平均滤波器模块中进行谐波消除,经过滤波后得到输出电压和 S2. Establish a moving average filter (MAF) module in the PLL module, and then input E d and E q into the moving average filter module to eliminate harmonics, and obtain an output voltage after filtering and
进一步的,如图2是电网电压基波频率、相位提取原理框图,即PLL模块的控制框图。所述S1和S2中三相电网电压Ea、Eb、Ec转换到同步旋转坐标系下Ed、Eq的具体实现方法为:Further, Fig. 2 is a schematic block diagram of extracting the fundamental frequency and phase of the grid voltage, that is, the control block diagram of the PLL module. The specific implementation method of converting the three-phase grid voltages E a , E b , E c in S1 and S2 to E d , E q in the synchronous rotating coordinate system is as follows:
其中θ为锁相环采样到的电网电压相量θPLL,E0为零序分量。在Ed、Eq后面分别建立MAF模块,其传递函数为:Among them, θ is the grid voltage phasor θ PLL sampled by the phase-locked loop, and E 0 is the zero-sequence component. Establish the MAF module after E d and E q respectively, and its transfer function is:
式(2)是连续域表达式,式(3)是离散域表达式。Tω是MAF的窗口长度,其中式(3)是离散时间域表达式,其中,Tω=NTS,TS为采样时间,N为MAF的一个窗口长度内的采样次数。将s=jω代入(2)中,得到如下:Formula (2) is a continuous domain expression, formula (3) is a discrete domain expression. T ω is the window length of the MAF, where formula (3) is a discrete time domain expression, where T ω =NT S , T S is the sampling time, and N is the number of samples within a window length of the MAF. Substituting s=jω into (2), we get as follows:
其中|Gm|为MAF的增益因子。由此,由式(4)能够得到以下结论:where |G m | is the gain factor of MAF. Therefore, the following conclusions can be obtained from formula (4):
由式(5)可以得到,当ω=0的时候MAF模块的增益为1,当f=k/Tω(k=±1,±2,±3…)的时候增益为零。特别的,由图4所示仿真结果表明当窗口长度值Tω等于T和T/2的时候滤波效果较为明显,基本将5,7,11,13次谐波滤除。From formula (5), it can be obtained that when ω=0, the gain of the MAF module is 1, and when f=k/T ω (k=±1,±2,±3…), the gain is zero. In particular, the simulation results shown in FIG. 4 show that when the window length T ω is equal to T and T/2, the filtering effect is more obvious, and the 5th, 7th, 11th, and 13th harmonics are basically filtered out.
S3,建立相位超前补偿器的目的是为解决由MAF造成的相位延迟的问题,将相位超前模块串接到MAF模块后面,进而有效的加快了系统响应能力并且对电网电压正序分量进行了一定的相位上的补偿;S3. The purpose of establishing the phase lead compensator is to solve the problem of phase delay caused by MAF. The phase lead module is serially connected to the back of the MAF module, thereby effectively speeding up the system response capability and controlling the positive sequence component of the grid voltage to a certain extent. Compensation on the phase;
所示相位超前补偿器的传递函数为:The transfer function of the phase lead compensator shown is:
式中,r是衰减因子,其范围r∈[0,1),k=(1-rN)/(1-r),是一个标准化的直流采样增益。In the formula, r is the attenuation factor, and its range is r∈[0,1), k=(1-r N )/(1-r), which is a normalized DC sampling gain.
S4,将经过了滑动平均滤波器(MAF)和相位超前补偿器的电网电压基波信号输入到比例积积分控制器(Proportional Integral Controller,PI)中,得到本周期电网电压频率偏移量Δωi。然后将Δωi与理想电网电压频率ω0相加后获得本周期电网电压频率值ωi,该频率值输入积分器后获得本周期补偿前的电网电压相位值θPLL`;采用电网电压频率偏移量Δωi经过一个常数增益值kφ的方法,实现补偿Park变换的相位误差,则本周期补偿前的电网电压相位值θPLL`与(kφ*Δωi)的差作为Park变换的相位;S4. Input the grid voltage fundamental wave signal that has passed through the moving average filter (MAF) and the phase lead compensator to the proportional product integral controller (PI), and obtain the current cycle grid voltage frequency offset Δω i . Then add Δω i to the ideal grid voltage frequency ω 0 to obtain the grid voltage frequency value ω i in this cycle, and input the frequency value into the integrator to obtain the grid voltage phase value θ PLL ` before compensation in this cycle; The displacement Δω i passes through a constant gain value k φ to compensate the phase error of the Park transformation, then the difference between the grid voltage phase value θ PLL ` and (k φ *Δω i ) before compensation in this cycle is used as the phase of the Park transformation ;
由MAF引起的相位偏移可以等效为:The phase shift caused by MAF can be equivalent to:
由于系统到达稳态的时候,PLL的相位偏移为θ=θPLL`-kφΔωi,采用Park变换的旋转角度改变成(θPLL`-kφΔωi),实现在稳态的时候PI的输入信号就等于0。通过以上的控制,到达稳态的时候能输出零误差相位的θPLL。Since when the system reaches a steady state, the phase offset of the PLL is θ=θ PLL `-k φ Δω i , and the rotation angle of the Park transformation is changed to (θ PLL `-k φ Δω i ), realizing that in the steady state The input signal of PI is equal to 0. Through the above control, the θ PLL with zero error phase can be output when the steady state is reached.
S5,有功功率的跳跃幅度很大,会导致能量冲击过大对对并网系统造成毁坏,所以引入电压前馈。如图1所示并网逆变器并网电流控制系统的整体原理框图中,将跟踪到的电网电压相位θPLL作为三相电网电压Ea、Eb、Ec进行Park变换的旋转角度,得到同步旋转坐标系下的电压前馈量Edq。S5, active power has a large jump range, which will cause excessive energy impact and damage the grid-connected system, so voltage feedforward is introduced. As shown in Figure 1, the overall functional block diagram of the grid-connected inverter grid-connected current control system, the tracked grid voltage phase θ PLL is used as the rotation angle of the three-phase grid voltage E a , E b , E c for Park transformation, Get the voltage feedforward E dq in the synchronous rotating coordinate system.
S6,采样得到的三相逆变器侧电流数据ia、ib、ic通过Clark变换为αβ坐标轴下的逆变器侧电流iαβ,S3中得到的电网电压相位θPLL作为iαβ进行Park变换的相位,转换得到同步旋转坐标系下电流idq,逆变器侧采样的idq与理想的额定值电流idq *相减得到偏差量Δidq,将其输入到比例积分控制器(PI)中进而输出逆变器侧基波电压调制信号ΔVdq;S6, the three-phase inverter-side current data i a , i b , and ic obtained by sampling are transformed by Clark into the inverter-side current i αβ on the αβ coordinate axis, and the grid voltage phase θ PLL obtained in S3 is used as i αβ Carry out the phase of Park transformation, convert to obtain the current i dq in the synchronous rotating coordinate system, subtract the i dq sampled by the inverter side from the ideal rated value current i dq * to obtain the deviation Δi dq , and input it to the proportional-integral controller (PI) and then output the inverter side fundamental wave voltage modulation signal ΔV dq ;
进一步的,S6步骤中得到ΔVdq的实现方式为:Further, the implementation method of obtaining ΔV dq in step S6 is:
其中比例控制器的s域的表达式为:GPI(s)=Kp+Ki/s,其中Kp为比例系数,Ki为积分时间常数,和为dq坐标系下的电流额定量。ia、ib和ic为逆变器端三相电流。The expression of the s domain of the proportional controller is: G PI (s)=K p +K i /s, where K p is the proportional coefficient, K i is the integral time constant, and is the current rating in the dq coordinate system. i a , i b and i c are the three-phase currents at the inverter end.
S7,将S5中得到的电压前馈量Edq与S6中得到的逆变器侧基波电压调制信号ΔVdq相加后进行Park反变换,将S4中得到的电网电压相位θPLL作为其变换的相位。反变换后得到电压基波调制信号Vαβ;S7, add the voltage feed-forward amount E dq obtained in S5 to the inverter-side fundamental voltage modulation signal ΔV dq obtained in S6, and then perform Park inverse transformation, and use the grid voltage phase θ PLL obtained in S4 as its transformation phase. After inverse transformation, the voltage fundamental wave modulation signal V αβ is obtained;
S8,将理想的电流idq *进行Park反变换从旋转坐标下转换到αβ坐标轴下的iαβ *,然后iαβ *再与S6中逆变器侧采样得到的电流iαβ相减,得到αβ坐标轴下的电流偏差量Δiαβ;In S8, the ideal current i dq * is subjected to inverse Park transformation from rotating coordinates to i αβ * under the αβ coordinate axis, and then i αβ * is subtracted from the current i αβ obtained by sampling the inverter side in S6 to obtain The current deviation Δi αβ under the αβ coordinate axis;
S9,将S8中得到的电流偏差Δiαβ和S4中得到的电网电压相位θPLL作为谐波补偿器的输入量。将电流偏差量Δiα与测得电网电压相位θPLL的-5倍的余弦值相乘,将电流偏差Δiβ与-5倍的正弦值相乘,再将两个乘积值相加得到Δiq5;将电流偏差量Δiα与测得电网电压相量θPLL的-5倍的正弦值相乘,将电流偏差Δiβ5与-5倍的余弦值相乘,再将两个乘积值相减得到Δid5;S9, using the current deviation Δi αβ obtained in S8 and the grid voltage phase θ PLL obtained in S4 as the input quantity of the harmonic compensator. Multiply the current deviation Δi α by the cosine value of -5 times the measured grid voltage phase θ PLL , multiply the current deviation Δi β by the sine value of -5 times, and then add the two product values to obtain Δi q5 ; Multiply the current deviation Δi α by the sine value of -5 times the measured grid voltage phasor θ PLL , multiply the current deviation Δi β5 by the cosine value of -5 times, and then subtract the two product values to obtain Δi d5 ;
如图3所示是5、7、11、13次谐波补偿控制框图,S9步骤的实现方法为:As shown in Figure 3, it is the 5th, 7th, 11th, 13th harmonic compensation control block diagram, and the implementation method of the S9 step is as follows:
S10,将S9中得到的Δidq5输入比例积分控制器(PI),输出旋转坐标系下5次谐波调制信号,同时将本周期得到的调制信号输入饱和限制器中,保证幅值在一定范围内。若幅值在额定范围内,饱和限制器输出为零,否则将超出量再经比例积分控制器调节至额定范围内最终得到5次谐波调制信号ΔVd5^和ΔVq5^;S10, input the Δi dq5 obtained in S9 into the proportional-integral controller (PI), output the 5th harmonic modulation signal under the rotating coordinate system, and input the modulation signal obtained in this cycle into the saturation limiter to ensure that the amplitude is within a certain range Inside. If the amplitude is within the rated range, the output of the saturation limiter is zero, otherwise the excess will be adjusted to the rated range by the proportional-integral controller to finally obtain the 5th harmonic modulation signal ΔV d5 ^ and ΔV q5 ^;
S10步骤得到的5次谐波调制信号ΔVd5^和ΔVq5^的具体实现方式为:The specific implementation of the 5th harmonic modulation signal ΔV d5 ^ and ΔV q5 ^ obtained in step S10 is:
其中,GPI(t)=Kpe(t)+Ki∫e(t)dt,其中Kp为比例系数,Ki为积分时间常数。Among them, G PI (t)=K p e(t)+K i ∫e(t)dt, where K p is the proportional coefficient, and K i is the integral time constant.
如图3所示的控制框图中Fcn模块即为限制饱和器,S9步骤中的饱和限制器的表达式如下:The Fcn module in the control block diagram shown in Figure 3 is the limiting saturator, and the expression of the saturation limiter in the S9 step is as follows:
其中u1值是反馈电流值,u2是常数值40,式(11)的含义是若u1∈(-u2,u2),则反馈值u为零,u1原值输出。否则,将u1和u2的差值做PI调节,直到u1被控到限制范围u2内为止。The value of u 1 is the feedback current value, and u 2 is a constant value of 40. The meaning of formula (11) is that if u 1 ∈ (-u 2 , u 2 ), the feedback value u is zero, and the original value of u 1 is output. Otherwise, the difference between u 1 and u 2 is PI adjusted until u 1 is controlled within the limit range u 2 .
S11,将S10中得到的5次谐波调制信号ΔVd5^与测得电网电压相量θPLL的-5倍的余弦值相乘,将谐波调制信号ΔVq5^与-5倍的正弦值相乘,再将两个乘积值相减得到ΔVα5^;将5次谐波调制信号ΔVd5^与测得的电网电压相量θPLL的-5倍的正弦值相乘,将调制信号ΔVq5^与-5倍的余弦值相乘,再将两乘积值相得到ΔVβ5^;S11, multiply the 5th harmonic modulation signal ΔV d5 ^ obtained in S10 by the cosine value of -5 times the measured grid voltage phasor θ PLL , and multiply the harmonic modulation signal ΔV q5 ^ by the sine value of -5 times Multiply, and then subtract the two product values to get ΔV α5 ^; multiply the 5th harmonic modulation signal ΔV d5 ^ with the sine value of -5 times the measured grid voltage phasor θ PLL , and modulate the signal ΔV Multiply q5 ^ with the cosine value of -5 times, and then add the two product values to get ΔV β5 ^;
S11步骤的实现方式为:The implementation of step S11 is:
进一步的,结合前面的(9)、(10)、(12)式整理得到实现方式为:Further, combined with the previous formulas (9), (10), and (12), the realization method is obtained as follows:
其中k为5、7、11、13次谐波,即各谐波调制方式类似。Among them, k is the 5th, 7th, 11th, and 13th harmonic, that is, the modulation methods of each harmonic are similar.
S12,将单电流闭环控制和电压前馈调制信号得到的电压基波调制信号Vαβ和谐波补偿器中得到的谐波调制信号ΔVαβ^相加然后经过Clark反变换得到三相电压调制信号,再经脉冲宽度调制(Pulse width modulation,PWM)后构造出逆变器H桥IGBT所需要的触发信号。S12, add the voltage fundamental modulation signal V αβ obtained from the single current closed-loop control and the voltage feedforward modulation signal and the harmonic modulation signal ΔV αβ ^ obtained from the harmonic compensator, and then undergo Clark inverse transformation to obtain a three-phase voltage modulation signal , and then construct the trigger signal required by the H-bridge IGBT of the inverter after pulse width modulation (Pulse width modulation, PWM).
为了验证本发明所提出的改进型锁相环能在含电网电压谐波的情况下精准的获得电网电压相位与频率信息,图4~图5为PLL模块的MAF模块和相位超前补偿模块的仿真效果图。为了验证特定谐波补偿模块对谐波的补偿效果和网侧电压前馈对三相并网电流的影响,图6为保持其他条件不变情况下加入特定谐波补偿模块和网侧电压前馈前三相并网电流的波形图。图7为保持其他条件不变情况下加入特定谐波补偿模块前三相并网电流的波形图。图8为保持其他条件不变情况下加入网侧电压前馈前的三相并网电流的波形图。图9为加入特定谐波补偿模块和网侧电压前馈后的三相并网电流波形图。为了验证网侧电压前馈对三相并网有功功率及无功功率的影响,图10为保持其他条件不变的情况加入网侧电压前馈量前后的三相并网有功功率及无功功率波形对比。In order to verify that the improved phase-locked loop proposed by the present invention can accurately obtain grid voltage phase and frequency information in the presence of grid voltage harmonics, Figures 4 to 5 are simulations of the MAF module and phase lead compensation module of the PLL module renderings. In order to verify the compensation effect of the specific harmonic compensation module on harmonics and the influence of grid-side voltage feedforward on the three-phase grid-connected current, Figure 6 shows the specific harmonic compensation module and grid-side voltage feedforward when other conditions remain unchanged. Waveform diagram of the grid-connected current of the first three phases. Fig. 7 is a waveform diagram of the three-phase grid-connected current before adding a specific harmonic compensation module while keeping other conditions unchanged. Fig. 8 is a waveform diagram of the three-phase grid-connected current before grid-side voltage feed-forward is added while keeping other conditions unchanged. Fig. 9 is a three-phase grid-connected current waveform diagram after adding a specific harmonic compensation module and grid-side voltage feed-forward. In order to verify the influence of grid-side voltage feedforward on three-phase grid-connected active power and reactive power, Figure 10 shows the three-phase grid-connected active power and reactive power before and after adding grid-side voltage feedforward while keeping other conditions unchanged Waveform comparison.
基于图4~图10运行条件的介绍后,下面分别对图4~图10的动态效果和对比波形进行详细说明。Based on the introduction of the operating conditions in Figures 4 to 10, the dynamic effects and comparative waveforms in Figures 4 to 10 will be described in detail below.
图4给出了加入MAF模块电压锁相环系统的伯德图,可以观察到相位裕度为43.3°,表明改进型的锁相环系统稳定,同时电网谐波成分被有效的滤除,但可以明显观察到滤除谐波的同时有明显的相位延迟。图5给出了MAF模块级联相位超前补偿模块的伯德图,曲线1是没有级联相位超前补偿模块的频率响应情况,其它曲线是MAF模块级联了相位超前补偿模块后的频率响应情况。其中曲线2的r值取为0.95,曲线3的r值取为0.97,曲线4的r值取为0.99。可以观察到相位超前补偿模块有效的抵消由MAF模块造成的相位上的延迟同时也消除了谐波,曲线4的补偿效果最优。图6给出了整个系统缺少谐波调制信号和网侧电压前馈信号的三相并网电流(Ia,Ib,Ic)波形图的输出情况,在t=0~0.05s区间内,a、b、c三相电流的幅值波动很大。同时由于电网电压谐波的影响,三相的电流畸变很严重,并且随着时间的推移这种畸变一直存在。图7给出了整个系统在缺少谐波调制信号的情况下三相并网电流(Ia,Ib,Ic)的输出情况,可以看出,在电网电压谐波的影响下,三相电流发生了明显畸变。图8给出了整个系统缺少网侧电压前馈的情况下的三相并网电流(Ia,Ib,Ic)波形图的输出情况,可以看出,在缺少网侧电压前馈的情况下,在0~0.05s的时间段内,三相电流幅值跳变也是很严重的,其中c相跳变幅度是最大的,t=0~0.04s时间段内,三相电流波形也存在畸变,并且畸变程度比图7的情况要大,但由于谐波调制信号的作用下,在0.4s以后三相电流波形的畸变逐渐消除了,a、b、c三相的电流波形变得平滑对称。图9给出了在谐波调制信号和网侧电压前馈作用下整个系统的三相并网电流波形输出波形。在t=0~0.2s时间段内电流波形畸变基本消除,同时也消除了电流幅值跳变的情况,a、b、c三相的电流波形变得平滑对称。Figure 4 shows the Bode diagram of the voltage phase-locked loop system with MAF module. It can be observed that the phase margin is 43.3°, indicating that the improved phase-locked loop system is stable, and the harmonic components of the power grid are effectively filtered out, but It can be clearly observed that there is a significant phase delay while filtering out harmonics. Figure 5 shows the Bode diagram of the cascaded phase lead compensation module of the MAF module. Curve 1 is the frequency response of the cascaded phase lead compensation module, and the other curves are the frequency response of the MAF module cascaded with the phase lead compensation module . The r value of curve 2 is taken as 0.95, the r value of curve 3 is taken as 0.97, and the r value of curve 4 is taken as 0.99. It can be observed that the phase lead compensation module effectively offsets the phase delay caused by the MAF module and also eliminates harmonics, and the compensation effect of curve 4 is the best. Figure 6 shows the output of the waveform diagram of the three-phase grid-connected current (I a , I b , I c ) lacking harmonic modulation signals and grid-side voltage feedforward signals in the entire system, within the interval of t=0~0.05s , a, b, c three-phase current amplitude fluctuations are large. At the same time, due to the influence of grid voltage harmonics, the three-phase current distortion is very serious, and this distortion always exists as time goes by. Figure 7 shows the output of the three-phase grid-connected current (I a , I b , I c ) of the entire system in the absence of harmonic modulation signals. It can be seen that under the influence of grid voltage harmonics, the three-phase The current is clearly distorted. Figure 8 shows the output of the three-phase grid-connected current (I a , I b , I c ) waveform diagram in the absence of grid-side voltage feedforward in the entire system. It can be seen that in the absence of grid-side voltage feedforward Under normal circumstances, the three-phase current amplitude jump is also very serious in the time period of 0-0.05s, and the jump amplitude of phase c is the largest. In the time period of t=0-0.04s, the three-phase current waveform is also There is distortion, and the degree of distortion is larger than that in Figure 7. However, due to the harmonic modulation signal, the distortion of the three-phase current waveform is gradually eliminated after 0.4s, and the current waveforms of the three phases a, b, and c become Smooth and symmetrical. Figure 9 shows the output waveform of the three-phase grid-connected current waveform of the whole system under the action of harmonic modulation signal and grid-side voltage feed-forward. During the time period of t=0~0.2s, the distortion of the current waveform is basically eliminated, and the situation of the jump of the current amplitude is also eliminated, and the current waveforms of the three phases a, b, and c become smooth and symmetrical.
图10给出了整个系统缺少网侧电压前馈的情况下的三相并网有功功率及无功功率波形对比。A图在t=0~0.03s时间段内有功功率和无功功率的幅值跳变范围很大,B图则是加入网侧电压前馈后的有功功率和无功功率的波形,容易观察到随着时间推移有功功率和无功功率逐渐稳定,且波动很小。Figure 10 shows the comparison of three-phase grid-connected active power and reactive power waveforms when the entire system lacks grid-side voltage feedforward. Figure A has a wide range of amplitude jumps of active power and reactive power within the time period of t=0~0.03s, while Figure B shows the waveforms of active power and reactive power after adding grid-side voltage feedforward, which is easy to observe Until the active power and reactive power are gradually stabilized with little fluctuation over time.
上述各种不同控制条件下的三相电流波形和功率波形对比表明,本发明提出的对并网电流的基波、谐波的调制,消除了电网谐波对电流波形的影响;电压前馈使得整个系统更加的稳定可靠;改进型的电压锁相环则提高了整个系统的控制精度。这种免疫电网电压谐波干扰的电流控制方式可以广泛应用于分布式发电系统中。The comparison of the three-phase current waveform and the power waveform under the above-mentioned various control conditions shows that the modulation of the fundamental wave and harmonic wave of the grid-connected current proposed by the present invention eliminates the influence of the grid harmonic wave on the current waveform; the voltage feedforward makes The whole system is more stable and reliable; the improved voltage phase-locked loop improves the control precision of the whole system. This current control method immune to grid voltage harmonic interference can be widely used in distributed generation systems.
本领域的普通技术人员将会意识到,这里所述的实施例是为了帮助读者理解本发明的原理,应被理解为本发明的保护范围并不局限于这样的特别陈述和实施案例。本领域的普通技术人员可以根据本发明公开的这些技术启示做出各种不脱离本发明实质的其它各种具体变形和组合,这些变形和组合仍然在本发明的保护范围内。Those skilled in the art will appreciate that the embodiments described here are to help readers understand the principles of the present invention, and it should be understood that the protection scope of the present invention is not limited to such specific statements and examples. Those skilled in the art can make various other specific modifications and combinations based on the technical revelations disclosed in the present invention without departing from the essence of the present invention, and these modifications and combinations are still within the protection scope of the present invention.
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