CN108414838A - A kind of inverter parallel system line impedance measurement method - Google Patents
A kind of inverter parallel system line impedance measurement method Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于电网线路阻抗测量技术,具体涉及一种逆变器并联系统线路阻抗测量方法。The invention belongs to the grid line impedance measurement technology, in particular to a line impedance measurement method of an inverter parallel system.
背景技术Background technique
近年来,随着可再生能源发电技术的发展,分布式发电模式得到了广泛的应用。光伏、风电等一次能源通常是通过逆变器等电力电子接口设备向电网输送电能。为了增加系统的容量及提高系统的可靠性,各逆变器通常采用并联工作模式。因此可以将分布式发电系统(也称作微网)简化为一个多台逆变器并联的结构。对这样的系统,通常采用下垂控制实现各并联逆变器之间的协调控制。因为下垂控制可以不依赖通信实现逆变器之间的同步和功率均分,非常适合分布式发电这种应用背景。但是下垂控制存在以下不足之处:无功功率受线路阻抗差异影响而不能在各台逆变器之间均分;输出功率在线路阻抗非纯感性或纯阻性时存在控制耦合;非线性负载造成母线电压质量降低等。上述下垂控制的诸多缺陷都是因为线路阻抗引起的,所以如果可以准确获取系统中的线路阻抗大小,这些问题就可以得到解决。In recent years, with the development of renewable energy power generation technology, distributed power generation mode has been widely used. Primary energy sources such as photovoltaics and wind power usually transmit electric energy to the grid through power electronic interface devices such as inverters. In order to increase the capacity of the system and improve the reliability of the system, each inverter usually adopts a parallel operation mode. Therefore, the distributed power generation system (also called a microgrid) can be simplified into a structure in which multiple inverters are connected in parallel. For such a system, droop control is usually used to realize the coordinated control among parallel inverters. Because droop control can achieve synchronization and power sharing between inverters without relying on communication, it is very suitable for the application background of distributed power generation. However, the droop control has the following disadvantages: the reactive power is affected by the line impedance difference and cannot be shared among the inverters; the output power has control coupling when the line impedance is not purely inductive or purely resistive; nonlinear load Resulting in lower bus voltage quality. Many defects of the above-mentioned droop control are caused by the line impedance, so if the line impedance in the system can be accurately obtained, these problems can be solved.
现有的线路阻抗估测方法大致可以分为三类:第一类,通过系统稳态工作点的波动,测量逆变器的输出电压和电流估测线路阻抗;第二类,通过系统中的逆变器注入某种额外的高频电压(电流)信号,然后测量逆变器输出电流(电压)中该频率信号的响应,以估测线路阻抗;第三类,基于特定的阻抗测量仪器向系统注入扰动并测量响应,计算线路阻抗。所有这些方法均会对原系统带来一定的扰动或畸变,所以都属于侵入式测量方法,一定程度上影响了系统的性能及稳定性。The existing line impedance estimation methods can be roughly divided into three categories: the first category, through the fluctuation of the steady-state operating point of the system, to measure the output voltage and current of the inverter to estimate the line impedance; the second category, through the system's The inverter injects some additional high-frequency voltage (current) signal, and then measures the response of the frequency signal in the inverter output current (voltage) to estimate the line impedance; the third category is based on specific impedance measuring instruments to The system injects a disturbance and measures the response to calculate the line impedance. All these methods will bring some disturbance or distortion to the original system, so they are all intrusive measurement methods, which affect the performance and stability of the system to a certain extent.
发明内容Contents of the invention
针对上述问题,本发明的目的是提供一种逆变器并联系统线路阻抗测量方法。该方法利用了系统中原有的设备和信号,不会对原有系统带来任何扰动和畸变。In view of the above problems, the object of the present invention is to provide a method for measuring line impedance of an inverter parallel system. This method utilizes the original equipment and signals in the system, and will not bring any disturbance and distortion to the original system.
为实现上述目的,本发明采用如下的技术方案:To achieve the above object, the present invention adopts the following technical solutions:
一种逆变器并联系统线路阻抗测量方法,通过在微网的中央控制器中采样母线电压和各台逆变器的输出电流,提取其中含量最高的特定次谐波分量,估测线路阻抗;其中各逆变器均采用下垂控制。A method for measuring the line impedance of an inverter parallel system, by sampling the bus voltage and the output current of each inverter in the central controller of the microgrid, extracting the specific sub-harmonic component with the highest content, and estimating the line impedance; Each inverter adopts droop control.
本发明进一步的改进在于,具体包括以下步骤:A further improvement of the present invention is to specifically include the following steps:
步骤1,系统初始化,设置各逆变器虚拟输出阻抗Zvi;Step 1, system initialization, setting the virtual output impedance Z vi of each inverter;
步骤2,在微网的中央控制器中采样母线电压和各台逆变器输出电流;Step 2, sampling the bus voltage and the output current of each inverter in the central controller of the microgrid;
步骤3,对母线电压进行计算,确定其中谐波含量最高的谐波次数h;Step 3, calculate the bus voltage, and determine the harmonic order h with the highest harmonic content;
步骤4,在步骤3确定谐波含量最高的谐波次数h后,提取母线电压及各台逆变器输出电流中的h次谐波分量;h次谐波分量包括h次谐波电压和h次谐波电流;Step 4. After determining the harmonic order h with the highest harmonic content in step 3, extract the h-order harmonic component in the bus voltage and the output current of each inverter; the h-order harmonic component includes the h-order harmonic voltage and h subharmonic current;
步骤5,根据步骤4提取的h次谐波电压和h次谐波电流,计算各台逆变器的线路阻抗ZLi,其中,i表示第i台逆变器,i=1,2,…,n,假设存在n台逆变器;Step 5: Calculate the line impedance Z Li of each inverter according to the h-order harmonic voltage and h-order harmonic current extracted in step 4, where i represents the i-th inverter, i=1,2,... ,n, assuming there are n inverters;
步骤6,对步骤5的计算结果进行滤波,消除采样及计算环节产生的高频噪声。Step 6, filtering the calculation result of step 5 to eliminate high-frequency noise generated in the sampling and calculation links.
本发明进一步的改进在于,步骤2中,在微网的中央控制器中通过电压传感器和电流传感器采样母线电压和各台逆变器输出电流。The further improvement of the present invention is that in step 2, the bus voltage and the output current of each inverter are sampled in the central controller of the microgrid through the voltage sensor and the current sensor.
本发明进一步的改进在于,步骤3中,采用快速傅里叶变换进行计算。A further improvement of the present invention lies in that in step 3, fast Fourier transform is used for calculation.
本发明进一步的改进在于,步骤3中,谐波含量最高的谐波次数h由负载特性决定。A further improvement of the present invention is that in step 3, the harmonic order h with the highest harmonic content is determined by the load characteristics.
本发明进一步的改进在于,谐波含量最高的谐波次数h为-1、5、7、11或11。A further improvement of the present invention is that the harmonic order h with the highest harmonic content is -1, 5, 7, 11 or 11.
本发明进一步的改进在于,步骤4中,采用基于多二阶广义积分器的信号提取方法,提取母线电压及各台逆变器输出电流中的h次谐波分量。The further improvement of the present invention is that in step 4, a signal extraction method based on multiple second-order generalized integrators is used to extract the h-order harmonic components in the bus voltage and the output current of each inverter.
本发明进一步的改进在于,步骤5中,各台逆变器的线路阻抗ZLi通过以下公式计算:A further improvement of the present invention is that in step 5, the line impedance Z Li of each inverter is calculated by the following formula:
其中,Zti表示计算得到的总阻抗,即线路阻抗与逆变器虚拟输出阻抗之和,Zvi表示逆变器虚拟输出阻抗,包括虚拟电阻Rvi和虚拟电感Lvi两部分,ω表示基波电压的角频率,即2π*50,h表示谐波含量最高的谐波次数;vαh表示h次谐波电压α轴分量,vβh表示h次谐波电压β轴分量,iαhi表示h次谐波电流α轴分量和iβhi表示h次谐波电流β轴分量。Among them, Z ti represents the calculated total impedance, that is, the sum of the line impedance and the virtual output impedance of the inverter, Z vi represents the virtual output impedance of the inverter, including virtual resistance R vi and virtual inductance L vi , and ω represents the basic The angular frequency of the wave voltage, that is, 2π*50, h represents the harmonic order with the highest harmonic content; v αh represents the α-axis component of the h-order harmonic voltage, v βh represents the β-axis component of the h-order harmonic voltage, and i αhi represents h The subharmonic current α-axis component and i βhi represent the h-th harmonic current β-axis component.
本发明进一步的改进在于,步骤6中,通过一阶低通滤波器进行滤波,一阶低通滤波器传递函数G(s)如下:A further improvement of the present invention is that in step 6, filtering is performed by a first-order low-pass filter, and the first-order low-pass filter transfer function G(s) is as follows:
其中,ωc表示滤波器的截止频率,s表述拉普拉斯算子。Among them, ω c represents the cutoff frequency of the filter, and s represents the Laplacian operator.
与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
本发明公开的上述技术方案旨在利用分布式发电系统中现有的设备,通过简易的计算方法测量线路阻抗。该发明通过在微网中央控制器中采样母线电压和各台逆变器的输出电流,提取其中的某次谐波分量即可估测线路阻抗。本发明的技术方案较现有技术,主要具有以下优点:第一,该测量方法属于非侵入式方法,它利用了系统中由负载产生的谐波信号估测线路阻抗,不需要额外注入其他信号,不会对原有系统产生任何影响;第二,该方法利用了系统中原有的设备,包括微网中央控制器等,因此不需要增加其他额外设备,不会增加系统建设成本;第三,计算方法简单,普通的工业级数字控制器即可完成,对系统配置要求较低。本发明为工程应用提供了很好的解决方案。该方法既适用于三相系统,也适用于单相系统。The above-mentioned technical solution disclosed by the present invention aims to use the existing equipment in the distributed power generation system to measure the line impedance through a simple calculation method. The invention estimates the line impedance by sampling the bus voltage and the output current of each inverter in the central controller of the microgrid, and extracting a certain harmonic component therein. Compared with the prior art, the technical solution of the present invention mainly has the following advantages: First, the measurement method is a non-invasive method, which uses the harmonic signal generated by the load in the system to estimate the line impedance, and does not need to inject other signals , will not have any impact on the original system; second, this method utilizes the original equipment in the system, including the micro-grid central controller, etc., so there is no need to add other additional equipment, and will not increase the system construction cost; third, The calculation method is simple, and can be completed by ordinary industrial-grade digital controllers, and has low requirements for system configuration. The invention provides a good solution for engineering application. This method is applicable to both three-phase and single-phase systems.
附图说明Description of drawings
图1是一种该发明适用的逆变器并联(分布式发电)系统的结构图;Fig. 1 is the structural diagram of a kind of inverter parallel connection (distributed power generation) system that this invention is applicable;
图2是本发明中实现线路阻抗测量的方法流程图;Fig. 2 is the flow chart of the method that realizes line impedance measurement among the present invention;
图3是本发明本发明的测量方法的结构图;Fig. 3 is a structural diagram of the measuring method of the present invention;
图4是本发明中举例示意的一种信号提取方法的原理图。Fig. 4 is a schematic diagram of a signal extraction method illustrated in the present invention.
具体实施方式Detailed ways
兹有关本发明的详细内容及技术说明,现以一较佳实施例来作进一步说明,但不应被解释为本发明实施的限制。Herein, the detailed content and technical description of the present invention will be further described with a preferred embodiment, but it should not be construed as a limitation to the implementation of the present invention.
一种逆变器并联系统线路阻抗测量方法,通过在微网的中央控制器中采样母线电压和各台逆变器的输出电流,提取其中含量最高的特定次谐波分量,估测线路阻抗;其中各逆变器均采用下垂控制,由于利用了系统中的现有设备和信号,所以属于非侵入式测量方法。A method for measuring the line impedance of an inverter parallel system, by sampling the bus voltage and the output current of each inverter in the central controller of the microgrid, extracting the specific sub-harmonic component with the highest content, and estimating the line impedance; Each inverter adopts droop control, which is a non-invasive measurement method because it utilizes the existing equipment and signals in the system.
针对图1所示的分布式发电系统,本发明提供一种估测其中各台逆变器线路阻抗(ZL1,ZL2,…,ZLn)的方法。值得注意的是该系统中的所有逆变器均采用下垂控制方法,系统中存在一定量的不平衡或非线性负载。For the distributed generation system shown in FIG. 1 , the present invention provides a method for estimating the line impedance (Z L1 , Z L2 , . . . , Z Ln ) of each inverter therein. It is worth noting that all inverters in this system adopt the droop control method, and there is a certain amount of unbalanced or nonlinear load in the system.
参见图2和图3,本发明主要包含以下6个步骤:Referring to Fig. 2 and Fig. 3, the present invention mainly comprises following 6 steps:
步骤S1,系统初始化,设置各逆变器虚拟输出阻抗Zvi;Step S1, system initialization, setting the virtual output impedance Z vi of each inverter;
步骤S1对系统中相关参数及变量进行初始化,同时设置逆变器虚拟输出阻抗Zv。设置逆变器虚拟输出阻抗是为了实现功率均分等其他功能,与本发明所述的线路阻抗测量没有直接关系,如果不需要可以直接设置Zv=0。这里考虑Zv是因为该发明所述线路阻抗计算方法得到的结果是线路阻抗和逆变器虚拟输出阻抗之和,所以要提前确定逆变器虚拟输出阻抗的大小,然后用计算得到的结果减去虚拟输出阻抗即为线路阻抗的大小。需要说明的是,虚拟输出阻抗的指令值由中央控制器通过通讯传递到位于各台逆变器的本地控制器中,该通讯机制在微网系统中一般是必备的,但是对本发明所述线路阻抗测量方法来说并不依赖该通讯,因为线路阻抗测量的所有步骤均在系统的中央控制器中完成。Step S1 initializes relevant parameters and variables in the system, and sets the virtual output impedance Zv of the inverter at the same time. The purpose of setting the virtual output impedance of the inverter is to realize other functions such as power sharing, which is not directly related to the line impedance measurement of the present invention, and Z v =0 can be directly set if not needed. Considering Zv here is because the result obtained by the line impedance calculation method described in this invention is the sum of the line impedance and the virtual output impedance of the inverter, so it is necessary to determine the size of the virtual output impedance of the inverter in advance, and then use the calculated result to subtract The devirtualized output impedance is the size of the line impedance. It should be noted that the command value of the virtual output impedance is transmitted from the central controller to the local controllers located in each inverter through communication. This communication mechanism is generally necessary in the microgrid system, but for the present invention The line impedance measurement method does not rely on this communication, because all steps of the line impedance measurement are completed in the central controller of the system.
步骤S2,在微网的中央控制器中通过电压传感器和电流传感器采样母线电压和各台逆变器输出电流;Step S2, sampling the bus voltage and the output current of each inverter through a voltage sensor and a current sensor in the central controller of the microgrid;
步骤S2主要实现母线电压的采样和各台逆变器输出电流的采样。电压采样通过安装在母线上的电压传感器实现,可以采样相电压或线电压,本发明并不以此为限。电流采样通过安装在每台逆变器与母线并联处的电流传感器实现。值得注意的是,这些电压传感器和电流传感器在实际分布式发电系统中一般都是存在的,主要用于中央控制器检测各台逆变器的工作状态,因此本发明不需要额外安装传感器。Step S2 mainly realizes the sampling of the bus voltage and the sampling of the output current of each inverter. The voltage sampling is realized by the voltage sensor installed on the bus, which can sample phase voltage or line voltage, and the present invention is not limited thereto. The current sampling is realized by the current sensor installed in the parallel connection between each inverter and the busbar. It is worth noting that these voltage sensors and current sensors generally exist in the actual distributed power generation system, and are mainly used for the central controller to detect the working status of each inverter, so the present invention does not require additional installation of sensors.
步骤S3,对母线电压进行快速傅里叶变换(FFT)或其他类似算法,确定其中谐波含量最高的谐波次数(用h表示),h可能是-1(即基波负序)、5、7、11次等谐波中的任意一个,由负载特性决定。Step S3, perform Fast Fourier Transform (FFT) or other similar algorithms on the bus voltage to determine the harmonic order (indicated by h) with the highest harmonic content, h may be -1 (ie, the negative sequence of the fundamental wave), 5 , 7, 11 and other harmonics in any one, determined by the load characteristics.
步骤S3对步骤S2中采样得到的母线电压进行FFT等运算,计算较低次谐波电压(一般低于17次)的幅值,选择幅值最高的谐波电压次数h作为计算线路阻抗的特定次谐波。值得注意的是,步骤3主要目的是确定母线电压所含谐波中幅值最高的谐波电压的次数,进行FFT运算只是其中一种计算方法,其他类似算法也可以使用,只要能确定幅值最高的谐波电压次数即可。因此本发明并不限定在步骤3中一定要使用FFT运算,其他类似算法也应该涵盖在保护范围内。Step S3 performs FFT and other operations on the bus voltage sampled in step S2, calculates the amplitude of the lower harmonic voltage (generally lower than the 17th order), and selects the order h of the harmonic voltage with the highest amplitude as the specific value for calculating the line impedance subharmonic. It is worth noting that the main purpose of step 3 is to determine the order of the harmonic voltage with the highest amplitude among the harmonics contained in the bus voltage. FFT calculation is only one of the calculation methods, and other similar algorithms can also be used, as long as the amplitude can be determined The highest harmonic voltage order is sufficient. Therefore, the present invention does not limit that the FFT operation must be used in step 3, and other similar algorithms should also be covered within the scope of protection.
步骤S4,在步骤S3确定谐波含量最高的谐波次数h后,提取母线电压及各台逆变器输出电流中的h次谐波分量;h次谐波分量包括h次谐波电压和h次谐波电流;Step S4, after determining the harmonic order h with the highest harmonic content in step S3, extract the h-order harmonic component in the bus voltage and the output current of each inverter; the h-order harmonic component includes the h-order harmonic voltage and h subharmonic current;
步骤S4主要实现信号提取功能。在步骤S3中确定幅值最大的谐波电压次数h后,步骤S4提取母线电压和各台逆变器输出电流中的h次谐波分量。提取方法有很多种,本发明并不限定采用何种提取方法,只要能准确快速提取电压、电流中的h次谐波分量即可。为了清楚地说明该发明的内容,本发明以Pedro Rodríguez在“Multiresonant Frequency-LockedLoop for Grid Synchronization of Power Converters Under Distorted GridConditions”一文中提出的基于多二阶广义积分器(MSOGI)的信号提取方法进行举例说明,其原理如图4所示。提取出来的电压及电流的h次谐波分量分别表示为h次谐波电压α轴分量vαh、h次谐波电压β轴分量vβh、h次谐波电流α轴分量iαhi和h次谐波电流β轴分量iβhi。Step S4 mainly realizes the signal extraction function. After determining the order h of the harmonic voltage with the largest amplitude in step S3, step S4 extracts the h order harmonic components in the bus voltage and the output current of each inverter. There are many extraction methods, and the present invention does not limit which extraction method to use, as long as the h-order harmonic components in the voltage and current can be accurately and quickly extracted. In order to clearly illustrate the content of the invention, the present invention is exemplified by the signal extraction method based on multiple second-order generalized integrators (MSOGI) proposed by Pedro Rodríguez in "Multiresonant Frequency-LockedLoop for Grid Synchronization of Power Converters Under Distorted GridConditions" Description, its principle is shown in Figure 4. The hth harmonic components of the extracted voltage and current are expressed as hth harmonic voltage α axis component v αh , h harmonic voltage β axis component v βh , h harmonic current α axis component i αhi and hth Harmonic current β axis component i βhi .
步骤S5,根据步骤S4提取的h次谐波电压和h次谐波电流,计算各台逆变器的线路阻抗ZLi,i表示第i台逆变器,i=1,2,…,n,(假设系统中存在n台逆变器);Step S5, calculate the line impedance Z Li of each inverter according to the h-order harmonic voltage and h-order harmonic current extracted in step S4, i represents the i-th inverter, i=1,2,...,n , (assuming there are n inverters in the system);
步骤S5利用步骤S4中提取到的h次谐波电压和电流分量,计算出线路阻抗的大小,包括线路电阻和线路电感。计算公式如下:Step S5 uses the hth harmonic voltage and current components extracted in step S4 to calculate the magnitude of the line impedance, including line resistance and line inductance. Calculated as follows:
其中,Zti表示计算得到的总阻抗(即线路阻抗与逆变器虚拟输出阻抗之和),Zvi表示逆变器虚拟输出阻抗,包括虚拟电阻Rvi和虚拟电感Lvi两部分,ω表示基波电压的角频率,即2π*50,h表示步骤4中确定的谐波含量最高的谐波次数。Among them, Z ti represents the calculated total impedance (that is, the sum of the line impedance and the virtual output impedance of the inverter), Z vi represents the virtual output impedance of the inverter, including two parts of the virtual resistance R vi and the virtual inductance L vi , and ω represents The angular frequency of the fundamental voltage, that is, 2π*50, h represents the harmonic order with the highest harmonic content determined in step 4.
步骤S6,对上述计算结果进行滤波,消除采样及计算环节产生的高频噪声。Step S6, filtering the above calculation results to eliminate high-frequency noise generated in the sampling and calculation links.
步骤S6对计算结果各台逆变器的线路阻抗ZLi进行滤波。该步骤的目的是为了滤除采样环节及计算环节中引入的高频噪声干扰,对滤波器形式不应加以限制,这里以一阶低通滤波器(LPF)为例进行说明,一阶低通滤波器传递函数如下:Step S6 filters the line impedance Z Li of each inverter as a result of the calculation. The purpose of this step is to filter out the high-frequency noise interference introduced in the sampling link and the calculation link, and the filter form should not be limited. Here, the first-order low-pass filter (LPF) is used as an example to illustrate, the first-order low-pass filter The filter transfer function is as follows:
其中ωc表示滤波器的截止频率,s表述拉普拉斯算子。经过滤波器之后,即可获得准确的线路阻抗测量结果。Where ω c represents the cut-off frequency of the filter, and s represents the Laplacian operator. After passing through the filter, accurate line impedance measurement results can be obtained.
为了验证该方法的有效性及正确性,在PSCAD软件环境下搭建了图1所示的仿真系统进行验证,仿真只包含两台逆变器,其真实线路阻抗与图1保持一致。仿真中得到的线路阻抗测量值分别是1mH+0.21Ω和2mH+0.19Ω,与真实线路阻抗基本一致,证明了该方法的有效性。In order to verify the effectiveness and correctness of this method, the simulation system shown in Figure 1 was built in the PSCAD software environment for verification. The simulation only includes two inverters, and the real line impedance is consistent with Figure 1. The measured values of line impedance obtained in the simulation are 1mH+0.21Ω and 2mH+0.19Ω respectively, which are basically consistent with the real line impedance, which proves the validity of the method.
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