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CN104330627B - Automatic power grid resonance detection method based on active injection current - Google Patents

Automatic power grid resonance detection method based on active injection current Download PDF

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CN104330627B
CN104330627B CN201410579798.XA CN201410579798A CN104330627B CN 104330627 B CN104330627 B CN 104330627B CN 201410579798 A CN201410579798 A CN 201410579798A CN 104330627 B CN104330627 B CN 104330627B
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戴珂
陈新文
彭力
刘源
康勇
徐晨
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Huazhong University of Science and Technology
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Abstract

本发明公开了一种基于有源注入电流的电网谐振自动检测方法;针对电力系统存在非线性负载时的谐波污染,以及接有无功补偿电容器时容易产生谐振的问题,通过并联接入电网的有源电能质量调节装置补偿谐波,同时利用此电能质量调节装置向电网一次性注入特定波形的无功和谐波组合电流以自动检测电网谐振角频率及阻尼系数,对于单相系统注入180°方波电流,对于三相系统注入120°方波电流;本发明根据电网谐波电压、谐波电流及谐波功率的频谱特性,建立最优权值算法的谐振检测组合模型,可以快速、准确地判定电网谐振角频率及阻尼程度,为电网谐振的阻尼控制提供应用基础,进一步提高电力系统的电能质量。

The invention discloses an automatic detection method for grid resonance based on active injection current; aiming at the harmonic pollution when there is a nonlinear load in the power system and the problem that resonance is easily generated when a reactive power compensation capacitor is connected, the method is connected to the grid through parallel connection The active power quality adjustment device compensates harmonics, and at the same time, uses this power quality adjustment device to inject a specific waveform of reactive power and harmonic combined current into the grid at one time to automatically detect the resonant angular frequency and damping coefficient of the grid. For a single-phase system, inject 180 ° square wave current, injecting 120° square wave current into the three-phase system; according to the spectrum characteristics of grid harmonic voltage, harmonic current and harmonic power, the present invention establishes a resonance detection combination model of optimal weight algorithm, which can quickly and Accurately determine the grid resonance angular frequency and damping degree, provide an application basis for the damping control of grid resonance, and further improve the power quality of the power system.

Description

一种基于有源注入电流的电网谐振自动检测方法An automatic detection method of power grid resonance based on active injection current

技术领域technical field

本发明属于电能质量控制领域,更具体地,涉及一种基于有源注入电流的电网谐振自动检测方法。The invention belongs to the field of electric energy quality control, and more specifically relates to an automatic detection method for grid resonance based on active injection current.

背景技术Background technique

无功补偿并联电容器是一种十分常见的功率因数校正方法,在工业现场无功补偿领域占据着主导地位。在电力系统中,通常根据不同的负荷水平,投入相应容量的电容器来改善系统的功率因数,提高输电线路的电压水平,同时减少电网损耗、消除过载。Parallel capacitors for reactive power compensation is a very common power factor correction method, which occupies a dominant position in the field of reactive power compensation in the industrial field. In the power system, capacitors of corresponding capacity are usually put in according to different load levels to improve the power factor of the system, increase the voltage level of the transmission line, and at the same time reduce the loss of the power grid and eliminate overload.

随着各类电力电子装置等非线性负载的广泛应用,电网中的谐波电流日益增加,谐波电流流过线路阻抗上会产生谐波电压压降。谐波电流和谐波电压会使得并联的功率因数校正电容与电网阻抗产生并联或者串联谐振,这种情况在电力系统中经常出现,严重危害并联电容器以及电力系统稳定性和安全可靠性。With the wide application of nonlinear loads such as various power electronic devices, the harmonic current in the power grid is increasing day by day, and the harmonic voltage drop will be generated when the harmonic current flows through the line impedance. Harmonic current and harmonic voltage will cause parallel connection or series resonance between power factor correction capacitors and grid impedance. This situation often occurs in power systems and seriously endangers the stability, safety and reliability of parallel capacitors and power systems.

电网谐振频率的检测是抑制电网谐振的先决条件,目前常用的检测电网谐振点方式为:首先利用晶闸管投切电容器、电抗器等方法产生谐波电流,在晶闸管投切电容器/电抗器的瞬间,会向电网注入谐波电流,该谐波电流在不同谐波频率处对电网会产生不同的影响,接着使用电网谐振检测工具对谐波电流和电压进行波形记录,然后通过仪器和波形分析进行频谱分析,计算谐波阻抗,从而确定电网谐振的系统参数。The detection of grid resonance frequency is a prerequisite for suppressing grid resonance. At present, the commonly used method for detecting grid resonance points is: first, use thyristor switching capacitors, reactors and other methods to generate harmonic currents. At the moment of thyristor switching capacitors/reactors, Harmonic current will be injected into the grid, and the harmonic current will have different effects on the grid at different harmonic frequencies, and then use the grid resonance detection tool to record the waveform of the harmonic current and voltage, and then analyze the spectrum through instruments and waveforms Analyze and calculate harmonic impedance to determine system parameters for grid resonance.

然而,上述使用的方法存在检测精度较差、检测速度较慢及现场适应性不好的缺点;且检测过程需分两个过程由不同的检测设备独立完成,成本较高、实现较复杂、灵活性差、不能满足实现自动检测的需求。首先,晶闸管投切电容器/电抗器方式为无源阻抗投切方式,该方式利用在投切电容器/电抗器瞬间的暂态响应过程中产生的谐波电流去检测电网谐振点,而此方式产生的谐波电流为连续频谱,其中低频谐波含量较大将危害电力系统的正常运行,而高频谐波含量较小将影响电力系统谐振频率的准确判定,并且受电网电压及投切的电容器/电抗器阻抗大小影响,各次谐波含量不能灵活选择,现场适应性较差。However, the method used above has the disadvantages of poor detection accuracy, slow detection speed and poor field adaptability; and the detection process needs to be divided into two processes to be completed independently by different detection equipment, the cost is high, and the implementation is more complicated and flexible. Poor performance, can not meet the needs of automatic detection. First of all, the thyristor switching capacitor/reactor method is a passive impedance switching method, which uses the harmonic current generated during the transient response of the switching capacitor/reactor to detect the grid resonance point, and this method produces The harmonic current of the harmonic current is a continuous spectrum, in which the large low-frequency harmonic content will endanger the normal operation of the power system, while the small high-frequency harmonic content will affect the accurate determination of the resonant frequency of the power system, and is affected by the grid voltage and switching capacitors/ Influenced by the impedance of the reactor, the harmonic content of each order cannot be flexibly selected, and the site adaptability is poor.

另外,目前已有的电网谐振检测工具多为使用专门的检测设备,该检测设备成本较高,在获取电网谐波电流和电压波形后需结合上位机软件进行波形频谱分析,整个过程操作复杂,速度较慢,且灵活性较差,不能实现在线自动检测。电力系统在同时接有非线性负载和并联电容器,且负荷发生变化致使电力系统参数改变的情况下,电网谐振频率也不同,而传统谐振检测方式的无源阻抗投切过程与检测设备算法分析过程独立进行,往往适应性较差,不能实现快速、自动检测的需求。In addition, most of the current grid resonance detection tools use special detection equipment. The detection equipment is relatively expensive. After obtaining the harmonic current and voltage waveforms of the power grid, it is necessary to combine the upper computer software for waveform spectrum analysis. The entire process is complicated to operate. The speed is slow and the flexibility is poor, and online automatic detection cannot be realized. When the power system is connected with nonlinear loads and shunt capacitors at the same time, and the power system parameters change due to load changes, the resonant frequency of the power grid is also different, and the passive impedance switching process of the traditional resonance detection method and the algorithm analysis process of the detection equipment If it is carried out independently, it often has poor adaptability and cannot meet the needs of rapid and automatic detection.

发明内容Contents of the invention

针对现有技术的缺陷,本发明的目的在于提供一种基于有源注入电流的电网谐振自动检测方法,旨在解决传统检测方法准确度欠佳、不能实现快速地在线自动检测功能的问题。Aiming at the defects of the prior art, the purpose of the present invention is to provide an automatic grid resonance detection method based on active injection current, aiming to solve the problems of poor accuracy of traditional detection methods and inability to realize fast online automatic detection function.

本发明提供了一种基于有源注入电流的电网谐振自动检测方法,包括下述步骤:The invention provides a method for automatically detecting grid resonance based on active injection current, comprising the following steps:

S1:获取公共耦合点的电网电压、电网电流以及电能质量调节装置输出电流、直流侧电压;并通过数字锁相环节PLL获取电网电压的角频率ω和相位θ;S1: Obtain the grid voltage and grid current of the public coupling point, the output current of the power quality adjustment device, and the DC side voltage; and obtain the angular frequency ω and phase θ of the grid voltage through the digital phase-locked link PLL;

其中,所述公共耦合点是指电能质量调节装置主电路与电网的连接点,输出电流是指有源电能质量调节装置输出电流;Wherein, the public coupling point refers to the connection point between the main circuit of the power quality adjustment device and the power grid, and the output current refers to the output current of the active power quality adjustment device;

S2:对所述电网电压和所述电网电流分别进行递归离散傅里叶变换,获得电网各次特征谐波电压有效值Vph和特征谐波电流有效值ISh;并根据所述特征谐波电压有效值Vph和特征谐波电流有效值ISh获得各次谐波第一视在功率ShS2: Perform recursive discrete Fourier transform on the grid voltage and the grid current respectively to obtain the effective value V ph of the characteristic harmonic voltage of each order of the grid and the effective value I Sh of the characteristic harmonic current; and according to the characteristic harmonic Voltage effective value V ph and characteristic harmonic current effective value I Sh obtain the first apparent power S h of each harmonic;

S3:根据设定的电流波形获得与其对应的参考电流i* ref;并对所述参考电流i* ref进行递归离散傅里叶变换,获得参考电流的各次特征谐波电流有效值I* rhS3: Obtain the corresponding reference current i * ref according to the set current waveform; and perform recursive discrete Fourier transform on the reference current i * ref to obtain the effective value I * rh of the characteristic harmonic current of the reference current ;

S4:对所述输出电流进行无静差双闭环的反馈调节,使得有源电能调节装置向电网注入与所述设定的电流波形相同的输出电流;S4: performing a static-difference-free double-closed-loop feedback regulation on the output current, so that the active power regulating device injects the same output current as the set current waveform into the grid;

S5:当所述输出电流等于所述设定的电流波形时,对该时刻的电网电压和电网电流分别进行递归离散傅里叶变换,获取注入参考电流后电网各次特征谐波电压有效值V’ph及特征谐波电流有效值I’Sh,并根据所述特征谐波电压有效值V’ph及特征谐波电流有效值I’Sh获得各次谐波第二视在功率S’hS5: When the output current is equal to the set current waveform, recursive discrete Fourier transform is performed on the grid voltage and grid current at this moment respectively, and the effective value V of each characteristic harmonic voltage of the grid after injecting the reference current is obtained ' ph and the effective value of the characteristic harmonic current I'Sh , and obtain the second apparent power S'h of each harmonic according to the effective value of the characteristic harmonic voltage V'ph and the effective value of the characteristic harmonic current I'Sh ;

S6:根据注入参考电流前、后的电网各次特征谐波电压有效值Vph与V’ph,特征谐波电流有效值ISh与I’Sh,特征谐波视在功率Sh与S’h,参考电流的各次特征谐波电流有效值I* rh,获得用于描述电网谐振的系统特性参数:电网谐振角频率ωr和阻尼系数ζ。S6: According to the effective value V ph and V' ph of the characteristic harmonic voltage of the power grid before and after injecting the reference current, the effective value of the characteristic harmonic current I Sh and I' Sh , the apparent power of the characteristic harmonic S h and S' h , the effective value of each characteristic harmonic current I * rh of the reference current, and obtain the system characteristic parameters used to describe the grid resonance: grid resonance angular frequency ω r and damping coefficient ζ.

其中,步骤S3中,设定的电流波形为180°方波电流或120°方波电流。Wherein, in step S3, the set current waveform is a 180° square wave current or a 120° square wave current.

其中,步骤S4具体为:Wherein, step S4 is specifically:

S41:根据输出电流获得反馈电流if;对直流侧电压Vdc进行比例积分获得有功电流i* dcS41: Obtain the feedback current if according to the output current; proportionally integrate the DC side voltage V dc to obtain the active current i * dc ;

S42:根据所述参考电流i* ref、反馈电流if和所述有功电流获得误差电流,再将误差电流进行电流调节,获得参考调制信号u* rS42: Obtain an error current according to the reference current i * ref , the feedback current if, and the active current, and then adjust the error current to obtain a reference modulation signal u * r ;

其中,电流调节方式与不同坐标系下的控制策略有关,在dq同步旋转坐标下可以采用比例积分加重复(PI+RP)的控制器,而在静止坐标系下可以采用比例谐振(PR)的控制器。Among them, the current regulation method is related to the control strategies in different coordinate systems. In the dq synchronous rotating coordinates, the proportional integral plus repetition (PI+RP) controller can be used, and the proportional resonance (PR) controller can be used in the static coordinate system. controller.

S43:将参考调制信号u* r与高频载波信号进行比较获得PWM开关信号;所述PWM开关信号用于控制开关管的通断,从而使有源电能调节装置向电网注入与设定的电流波形相同的输出电流。S43: Comparing the reference modulation signal u * r with the high-frequency carrier signal to obtain a PWM switch signal; the PWM switch signal is used to control the on-off of the switch tube, so that the active power regulating device injects a set current into the grid waveform the same as the output current.

其中,步骤S6中,根据公式获得注入第h次谐波电流后的第h次谐波组合判定指标Fh,Fh综合了注入单位指定波形的参考电流后第h次电网谐波电压、谐波电流及谐波功率变化值之和的信息,比采用三者之一的物理指标来检测电网谐振更准确;通过比较各次谐波的综合检测指标Fh值,获得Fh值最大的谐波次数hr,那么可求得电网谐振角频率为ωr=100πhr,即电网谐振频率为fr=50hr;其中,wuh为电压检测指标在组合模型中的权重,wIh为电流检测指标在组合模型中的权重,wSh为功率检测指标模型在组合模型中的权重,为对Fuh进行线性无量纲化处理后的值,为对FIh进行线性无量纲化处理后的值,为对FSh进行线性无量纲化处理后的值,其计算公式分别为: Fuh为电网谐波电压变化值与注入谐波电流的比值,FIh为电网谐波电流变化值与注入谐波电流的比值,FSh为电网谐波功率变化值与注入谐波电流的平方的比值,其计算公式为: Wherein, in step S6, according to the formula Obtain the h-th harmonic combination judgment index F h after injecting the h-th harmonic current, F h integrates the change value of the h-th grid harmonic voltage, harmonic current and harmonic power after injecting the reference current of the specified waveform of the unit The sum of information is more accurate than using one of the three physical indicators to detect grid resonance; by comparing the comprehensive detection index F h value of each harmonic, the harmonic order h r with the largest F h value can be obtained, then The resonant angular frequency of the power grid is ω r =100πh r , that is, the resonant frequency of the power grid is f r =50h r ; among them, w uh is the weight of the voltage detection index in the combination model, and w Ih is the weight of the current detection index in the combination model , w Sh is the weight of the power detection index model in the combined model, is the value after linear dimensionless processing of Fu uh , is the value after linear dimensionless processing of F Ih , is the value after linear dimensionless processing of F Sh , and its calculation formulas are: F uh is the ratio of grid harmonic voltage change value to injected harmonic current, F Ih is the ratio of grid harmonic current change value to injected harmonic current, F Sh is the square of grid harmonic power change value and injected harmonic current ratio, and its calculation formula is:

本发明由于只需一次性向电网中注入特定波形的参考电流,且注入参考电流功能与谐振点检测算法分析功能都在电能质量调节装置中实现,无需多种检测工具按功能分步骤相互配合进行检测,操作简单,提高了检测速度,且现场适应性较强;电能质量调节装置通常长期接入电网系统中进行无功谐波与谐波抑制,当电网谐振频率发生改变时,进入谐振工作模式可实现电网谐振的在线自动检测;同时,注入的参考电流信号中各次特征谐波含量齐全,180°方波电流含有单相系统的所有2k+1次特征谐波电流,120°方波电流方式含有单三系统的所有6k±1次特征谐波电流(其中,k为正整数),因此所述两种波形的电流注入电网后,使电网系统的电压电流参数在不同谐波频率处都能得到响应,从而能准确的检测出电力系统的谐振点。Since the present invention only needs to inject a reference current of a specific waveform into the power grid at one time, and the function of injecting reference current and the analysis function of the resonance point detection algorithm are all realized in the power quality adjustment device, there is no need for multiple detection tools to cooperate with each other in steps of functions for detection , the operation is simple, the detection speed is improved, and the field adaptability is strong; the power quality adjustment device is usually connected to the power grid system for a long time to suppress reactive harmonics and harmonics. When the resonant frequency of the power grid changes, entering the resonance working mode can Realize the online automatic detection of grid resonance; at the same time, the injected reference current signal contains all the characteristic harmonics, the 180° square wave current contains all the 2k+1 characteristic harmonic currents of the single-phase system, and the 120° square wave current mode Contains all 6k±1 characteristic harmonic currents of the single-three system (where k is a positive integer), so after the currents of the two waveforms are injected into the grid, the voltage and current parameters of the grid system can be adjusted at different harmonic frequencies Get a response, so that the resonance point of the power system can be accurately detected.

附图说明Description of drawings

图1为本发明实施例提供的自动检测单相/三相电网谐振的电能质量调节装置主电路结构示意图。FIG. 1 is a schematic structural diagram of a main circuit of a power quality adjustment device for automatically detecting single-phase/three-phase grid resonance provided by an embodiment of the present invention.

图2为本发明实施例提供的适用于单相/三相电力系统的电能质量调节装置有源注入电流式电网谐振自动检测系统控制框图。Fig. 2 is a control block diagram of an active injection current type grid resonance automatic detection system of a power quality adjustment device suitable for single-phase/three-phase power systems provided by an embodiment of the present invention.

图3为本发明实施例提供的单相电力系统电能质量调节装置有源注入的180°方波参考电流输出波形;其中(a)单相系统中注入的180°方波电流输出波形(b)各次特征频率的电流含量。Fig. 3 is the 180 ° square wave reference current output waveform of the active injection of the single-phase power system power quality adjustment device provided by the embodiment of the present invention; wherein (a) the 180 ° square wave current output waveform injected in the single-phase system (b) The current content of each characteristic frequency.

图4为本发明实施例提供的三相电力系统电能质量调装置有源注入的120°方波参考电流输出波形;其中(a)三相系统中注入的120°方波电流输出波形(b)各次特征频率的电流含量。Fig. 4 is the 120 ° square wave reference current output waveform of the active injection of the three-phase power system power quality control device provided by the embodiment of the present invention; wherein (a) the 120 ° square wave current output waveform injected in the three-phase system (b) The current content of each characteristic frequency.

图5为本发明实施例提供的电网谐振特性参数(即谐振角频率ωr与谐振阻尼系数ξ)的检测方法实现流程图。FIG. 5 is a flow chart of a detection method for grid resonance characteristic parameters (ie, resonance angular frequency ω r and resonance damping coefficient ξ) provided by an embodiment of the present invention.

具体实施方式detailed description

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

鉴于电网谐振的传统检测方法准确度欠佳、不能实现快速地在线自动检测功能,且检测工具成本较高、现场适应性较差等缺点,本发明提供了一种利用有源电能质量调节装置,通过向电网一次性注入特定波形的参考电流,并根据电网系统运行参数的频谱特性建立检测模型,实现电网谐振频率与谐振阻尼系数快速准确地自动检测方法。该电能质量调节装置集有源注入电流与谐振分析算法于一体,当电网参数发生变化时,可以实现电网谐振的在线自动检测,从而为电力系统的稳定可靠运行提供基础。本发明对于单相、三相电力系统均适用。In view of the shortcomings of the traditional detection method of power grid resonance, such as poor accuracy, inability to realize rapid online automatic detection function, high cost of detection tools, and poor field adaptability, the present invention provides an active power quality adjustment device, By injecting a reference current with a specific waveform into the grid at one time, and establishing a detection model according to the spectrum characteristics of the operating parameters of the grid system, a fast and accurate automatic detection method for the resonance frequency and resonance damping coefficient of the grid is realized. The power quality adjustment device integrates the active injection current and the resonance analysis algorithm. When the grid parameters change, it can realize the online automatic detection of the grid resonance, thus providing the basis for the stable and reliable operation of the power system. The invention is applicable to both single-phase and three-phase power systems.

本发明提供的基于有源注入电流的电网谐振自动检测方法,包括通过利用接入电力系统的有源电能质量调节装置,一方面实时检测电网电压与电网电流等运行参数,再通过RDFT算法计算出电网各次特征谐波电压与电流的有效值,并由此实时计算出电网各次特征谐波视在功率;另一方面,向电网一次性注入特定波形的参考电流,比较注入参考电流前后电网谐波电压、谐波电流以及对应的谐波能量频谱特性的不同,建立最优权值算法的谐振检测组合模型,从而快速、准确地自动检测出电网谐振频率及阻尼系数,为电网谐振的阻尼控制提供应用基础,进一步改善电力系统的电能质量,提高电力系统稳定性。The grid resonance automatic detection method based on active injection current provided by the present invention includes using an active power quality adjustment device connected to the power system to detect operating parameters such as grid voltage and grid current in real time on the one hand, and then calculate through the RDFT algorithm The effective value of each characteristic harmonic voltage and current of the power grid, and thus calculate the apparent power of each characteristic harmonic of the power grid in real time; The harmonic voltage, harmonic current and the corresponding harmonic energy spectrum characteristics are different, and the resonance detection combination model of the optimal weight algorithm is established, so as to quickly and accurately detect the grid resonance frequency and damping coefficient automatically, which is the damping of the grid resonance. Control provides the application basis to further improve the power quality of the power system and improve the stability of the power system.

电能质量调节装置为有源电力电子开关型补偿装置,通过控制主电路中电力电子开关器件的通断,可无静差地输出特定波形的参考电流。The power quality adjustment device is an active power electronic switch type compensation device, which can output a reference current with a specific waveform without static difference by controlling the on-off of the power electronic switch device in the main circuit.

电能质量调节装置具有电网电压、电网电流以及自身输出电流检测模块,对整个电力系统的运行参数进行实时检测。电能质量调节装置中央控制单元具有较高的数据运算及处理能力,同时外围电路具备通信和显示模块,可以将电网运行参数及谐振检测结果送入面板进行显示。The power quality adjustment device has grid voltage, grid current and its own output current detection module, which detects the operating parameters of the entire power system in real time. The central control unit of the power quality adjustment device has high data calculation and processing capabilities, and the peripheral circuit has a communication and display module, which can send the power grid operating parameters and resonance detection results to the panel for display.

电能质量调节装置有两种工作模式,即谐波补偿模式与谐振检测模式。当工作在谐波补偿模式时,通过RDFT算法分别提取各次特征谐波,可以实现指定次谐波的无静差补偿;当工作在谐振检测模式时,一次性向电网中注入特定波形的参考电流,可以快速、准确地实现电网谐振频率及阻尼系数自动检测。The power quality adjustment device has two working modes, namely harmonic compensation mode and resonance detection mode. When working in the harmonic compensation mode, the characteristic harmonics of each order can be extracted through the RDFT algorithm, and no static error compensation of the specified harmonic can be realized; when working in the resonance detection mode, a reference current of a specific waveform can be injected into the power grid at one time , can quickly and accurately realize the automatic detection of the resonant frequency and damping coefficient of the power grid.

特定波形的参考电流注入方式包括:对于单相系统采用注入180°方波电流方式,对于三相系统采用注入120°方波电流方式。所述两种不同波形的注入电流中基波为无功电流,从而可以保持电能质量调节装置的直流母线电压稳定,各次特征谐波含量齐全、灵活可控,因此能快速、准确地确定电网谐振点。The reference current injection method of a specific waveform includes: for a single-phase system, a 180° square wave current injection method, and for a three-phase system, a 120° square wave current injection method. The fundamental wave of the injection current of the two different waveforms is reactive current, so that the DC bus voltage of the power quality adjustment device can be kept stable, and the content of each characteristic harmonic is complete, flexible and controllable, so it can quickly and accurately determine the power grid resonance point.

参考电流的跟踪控制采用无静差双闭环的反馈控制策略,电压外环控制方式可采用比例积分(PI)调节的反馈控制;电流内环控制方式与不同坐标系下的控制策略有关,在dq同步旋转坐标下可以采用比例积分加重复(PI+RP)的控制器,而在静止坐标系下可以采用比例谐振(PR)的控制器。The tracking control of the reference current adopts the feedback control strategy of double closed-loop without static error, and the feedback control of proportional integral (PI) adjustment can be used for the voltage outer loop control mode; the current inner loop control mode is related to the control strategy under different coordinate systems, in dq Proportional-integral plus repetition (PI+RP) controllers can be used in synchronous rotating coordinates, and proportional resonant (PR) controllers can be used in stationary coordinates.

为实现上述目的,本发明提供了一种适用于单相及三相电力系统的基于有源注入电流的电网谐振自动检测方法。所述用于单相系统的电网谐振自动检测的电能质量调节装置主电路为:以并联方式连接在单相电网与单相非线性负载之间的单相桥式电力电子变换器。所述用于三相系统的电网谐振自动检测的电能质量调节装置主电路为:以并联方式连接在三相电网与三相非线性负载之间的三相桥式电力电子变换器。To achieve the above object, the present invention provides an automatic detection method for grid resonance based on active injection current, which is suitable for single-phase and three-phase power systems. The main circuit of the power quality adjustment device for automatic detection of grid resonance in a single-phase system is: a single-phase bridge-type power electronic converter connected in parallel between a single-phase grid and a single-phase nonlinear load. The main circuit of the power quality adjustment device for automatic detection of grid resonance in a three-phase system is: a three-phase bridge-type power electronic converter connected in parallel between the three-phase grid and the three-phase nonlinear load.

本发明适用于单相/三相电力系统的基于有源注入电流的电网谐振自动检测方法,包括下述步骤:The present invention is applicable to the grid resonance automatic detection method based on the active injection current of the single-phase/three-phase power system, comprising the following steps:

S1:获取公共耦合点(即Point of Common Coupling,PPC点)的电网电压、电网电流以及有源电能质量调节装置输出电流、直流侧电压;并通过数字锁相环节PLL获取电网电压的角频率ω和相位θ。S1: Obtain the grid voltage and grid current of the public coupling point (Point of Common Coupling, PPC point), the output current of the active power quality adjustment device, and the DC side voltage; and obtain the angular frequency ω of the grid voltage through the digital phase-locked link PLL and phase θ.

其中,步骤S1具体为:Wherein, step S1 is specifically:

S11:实时进行AD转换,获取公共耦合点的电网电压瞬时值vP、电网电流瞬时值iS以及有源电能质量调节装置输出电流瞬时值iC、直流侧电压瞬时值Vdc;在本发明实施例中,公共耦合点是指电能质量调节装置主电路与电网的连接点。S11: Perform AD conversion in real time to obtain the instantaneous value v P of the grid voltage at the public coupling point, the instantaneous value i S of the grid current, the instantaneous value i C of the output current of the active power quality adjustment device, and the instantaneous value V dc of the DC side voltage; in the present invention In the embodiment, the public coupling point refers to the connection point between the main circuit of the power quality adjustment device and the power grid.

S12:通过数字锁相环节PLL获取所述电网电压的角频率ω和相位θ。S12: Obtain the angular frequency ω and phase θ of the grid voltage through a digital phase-locked link PLL.

S2:对电网电压瞬时值vP和电网电流瞬时值iS分别进行递归离散傅里叶变换(Recursive Discrete Fourier Transform,RDFT),获得电网各次特征谐波电压有效值Vph和特征谐波电流有效值ISh;并根据Vph及ISh获得各次谐波视在功率Sh;其中,h为谐波次数,对于单相系统h=2k+1,对于三相系统h=6k±1,k为正整数,k=1,2,……。S2: Recursive Discrete Fourier Transform (RDFT) is performed on the instantaneous value v P of the grid voltage and the instantaneous value i S of the grid current to obtain the effective value V ph of the characteristic harmonic voltage and the characteristic harmonic current of the grid RMS value I Sh ; and according to V ph and I Sh obtain the apparent power of each harmonic S h ; where, h is the harmonic order, for single-phase system h=2k+1, for three-phase system h=6k±1 , k is a positive integer, k=1, 2, . . .

S3:根据指定的电流波形获得与其对应的参考电流i* ref;并对参考电流i* ref进行递归离散傅里叶变换,获得参考电流的各次特征谐波电流有效值I* rh。其中,对于单相系统参考电流i* ref以180°方波电流为指定的电流波形,对于三相系统参考电流i* ref以120°方波电流为指定的电流波形。S3: Obtain the corresponding reference current i * ref according to the specified current waveform; and perform recursive discrete Fourier transform on the reference current i * ref to obtain the RMS value I * rh of each characteristic harmonic current of the reference current. Among them, for the single-phase system reference current i * ref , the specified current waveform is 180°square wave current, and for the three-phase system reference current i * ref , the specified current waveform is 120°square wave current.

S4:对电能质量调节装置输出电流进行无静差双闭环的反馈调节,使有源电能调节装置向电网注入与指定电流波形相同的输出电流。S4: Perform static error-free double closed-loop feedback regulation on the output current of the power quality regulating device, so that the active power regulating device injects the same output current as the specified current waveform into the grid.

其中,步骤S4具体为:Wherein, step S4 is specifically:

S41:由输出电流瞬时值iC获得反馈电流if;对直流侧电压瞬时值Vdc进行比例积分(PI)获得有功电流i* dcS41: Obtain the feedback current if from the instantaneous value of the output current i C ; perform proportional integration (PI) on the instantaneous value of the DC side voltage V dc to obtain the active current i * dc .

S42:对i* ref、-if与i* dc求和,获得误差电流,再将误差电流进行电流调节,获得参考调制信号u* rS42: Summing i * ref , -if and i * dc to obtain an error current, and then adjusting the error current to obtain a reference modulation signal u * r .

S43:将所述参考调制信号u* r与高频载波信号进行比较获得PWM开关信号;由PWM开关信号控制开关管的通断,使有源电能调节装置向电网注入与指定电流波形相同的输出电流。S43: Comparing the reference modulation signal u * r with the high-frequency carrier signal to obtain a PWM switch signal; the PWM switch signal controls the on-off of the switch tube, so that the active power regulating device injects the same output as the specified current waveform into the grid current.

根据正弦脉宽调制原理,高频载波信号为锯齿波或则三角载波信号,幅值为1;在一个载波周期内,当参考调制信号u* r大于高频载波信号时,输出高电平的PWM信号;当参考调制信号u* r小于高频载波信号时,输出低电平的PWM信号。According to the principle of sinusoidal pulse width modulation, the high-frequency carrier signal is a sawtooth wave or a triangular carrier signal with an amplitude of 1; within one carrier cycle, when the reference modulation signal u * r is greater than the high-frequency carrier signal, a high-level signal is output PWM signal; when the reference modulation signal u * r is smaller than the high-frequency carrier signal, a low-level PWM signal is output.

S5:经过步骤S4的反复调节作用,有源电能调节装置将稳定输出与指定的电流波形相同的电流,此时通过RDFT运算,获取注入参考电流后电网各次特征谐波电压有效值V’ph及特征谐波电流有效值I’Sh,并计算出各次谐波视在功率S’hS5: After the repeated adjustment of step S4, the active power regulating device will stably output the same current as the specified current waveform. At this time, through RDFT operation, the effective value V'ph of each characteristic harmonic voltage of the power grid after injecting the reference current is obtained And the effective value of the characteristic harmonic current I' Sh , and calculate the apparent power S' h of each harmonic.

S6:将注入参考电流前后的电网各次特征谐波电压有效值Vph与V’ph,特征谐波电流有效值ISh与I’Sh,特征谐波视在功率Sh与S’h,参考电流的各次特征谐波电流有效值I* rh,作为输入代入谐振检测组合模型,进行运算处理,从而得出电网谐振角频率ωr与阻尼系数ζ,ωr与ζ即为描述电网谐振的系统特性参数。S6: The effective values V ph and V' ph of the characteristic harmonic voltages of the power grid before and after the injection of the reference current, the effective values of the characteristic harmonic currents I Sh and I' Sh , the apparent powers of the characteristic harmonics S h and S' h , The RMS value I * rh of each characteristic harmonic current of the reference current is substituted into the resonance detection combination model as an input for calculation and processing, so as to obtain the grid resonance angular frequency ω r and the damping coefficient ζ, ω r and ζ are used to describe the grid resonance system characteristic parameters.

在本发明实施例中,步骤S4中参考电流的跟踪控制采用无静差双闭环的反馈控制策略,电压外环控制方式采用比例积分的反馈控制;电流内环控制方式与不同坐标系下的控制策略有关,在dq同步旋转坐标下可以采用比例积分加重复(PI+RP)的控制方式,而在静止坐标系下可以采用比例谐振(PR)的控制方式。In the embodiment of the present invention, the tracking control of the reference current in step S4 adopts the feedback control strategy of double closed-loop without static error, and the voltage outer loop control mode adopts the feedback control of proportional integral; the current inner loop control mode and the control under different coordinate systems It is related to the strategy. In the dq synchronous rotating coordinates, the proportional integral plus repetition (PI+RP) control method can be used, and the proportional resonance (PR) control method can be used in the stationary coordinate system.

步骤S6中最优权值算法具体为:首先对谐波电压有效值Vph与V’ph,谐波电流有效值ISh与I’Sh进行同步累积滤波,即对连续多次检测到的谐波电压、谐波电流有效值求取平均值;然后,计算谐波视在功率Sh与S’h,计算注入指定波形的参考电流前后谐波电压变化值ΔVph,谐波电流变化值ΔISh,谐波视在功率变化量ΔSh;接着,计算各次谐波电压、谐波电流及谐波视在功率的输出变化量与注入谐波电流量的比值Fuh、FIh与FSh。最后根据谐波电压、电流及功率的频谱特性,判断出电网谐振角频率ωr与阻尼系数ζ。The optimal weight algorithm in step S6 is specifically as follows: firstly, synchronous cumulative filtering is performed on the effective values of harmonic voltage V ph and V' ph , and the effective value of harmonic current I Sh and I' Sh , that is, the harmonics detected multiple times in succession Then, calculate the harmonic apparent power S h and S' h , calculate the harmonic voltage change value ΔV ph before and after injecting the reference current of the specified waveform, and the harmonic current change value ΔI Sh , the harmonic apparent power variation ΔS h ; then, calculate the ratios Fuh , F Ih and F Sh of the output variation of each harmonic voltage, harmonic current, and harmonic apparent power to the injected harmonic current . Finally, according to the spectrum characteristics of harmonic voltage, current and power, the resonant angular frequency ω r and the damping coefficient ζ of the grid are judged.

以上所述步骤对单相、三相系统均适用,且对参考电流的跟踪控制所采取的控制策略都为无静差双闭环的反馈控制;不同之处在于所述参考电流的指定电流波形和相数不同,三相系统需生成三相120°方波的参考电流i* refa、i* refb、i* refc,其中i* refa的相位超前i* refb的相位120°,i* refb的相位超前i* refc的相位120°,而单相系统只需生成一相180°方波的参考电流i* refThe steps above are applicable to both single-phase and three-phase systems, and the control strategy adopted for the tracking control of the reference current is a double-closed-loop feedback control without static error; the difference lies in the specified current waveform of the reference current and The number of phases is different, and the three-phase system needs to generate three-phase 120° square wave reference currents i * refa , i * refb , i * refc , where the phase of i * refa is 120° ahead of the phase of i * refb , and the phase of i * refb Leading the phase of i * refc by 120°, while the single-phase system only needs to generate a reference current i * ref of a 180° square wave of one phase.

本发明提供了一种基于有源注入电流的实现电网谐振频率与谐振阻尼系数的自动检测方法,利用单相、三相电能质量调节装置均可实现所述自动检测功能,因此在单相、三相电力系统中均适用。所述方法集有源注入参考电流与谐振分析算法于一体,只需一次性向电网中注入特定波形的参考电流,便可快速、准确地实现电网谐振频率及阻尼系数的在线自动检测功能,从而确保电力系统高效稳定可靠运行。由于注入指令谐波电流功能与谐振点检测算法分析功能都在电能质量调节装置中实现,无需多种检测工具按功能分步骤相互配合进行检测,操作简单,提高了检测速度,且现场适应性较强;电能质量调节装置通常长期接入电网系统中进行无功谐波与谐波抑制,当电网谐振频率发生改变时,进入谐振工作模式可实现电网谐振的在线自动检测;同时,注入的参考电流中各次特征谐波含量齐全,180°方波电流含有单相系统的所有2k+1次特征谐波电流,120°方波电流方式含有单三系统的所有6k±1次特征谐波电流(其中,k为正整数),因此所述两种波形的电流注入电网后,使电网系统的电压电流参数在不同谐波频率处都能得到响应,从而能准确的检测出电力系统的电网谐振频率及阻尼程度。The invention provides an automatic detection method based on active injection current to realize the resonance frequency and resonance damping coefficient of the power grid. The automatic detection function can be realized by using single-phase and three-phase power quality adjustment devices. Therefore, in single-phase and three-phase Applicable to all phase power systems. The method integrates active injection of reference current and resonance analysis algorithm. It only needs to inject a reference current of a specific waveform into the power grid at one time, and can quickly and accurately realize the online automatic detection function of the resonant frequency and damping coefficient of the power grid, thereby ensuring The power system operates efficiently, stably and reliably. Since the function of injecting command harmonic current and the analysis function of resonance point detection algorithm are realized in the power quality adjustment device, there is no need for multiple detection tools to cooperate with each other to detect according to the function and step by step. The operation is simple, the detection speed is improved, and the field adaptability is relatively large. Strong; power quality adjustment devices are usually connected to the power grid system for a long time to suppress reactive harmonics and harmonics. When the resonant frequency of the power grid changes, entering the resonant working mode can realize online automatic detection of grid resonance; at the same time, the injected reference current The characteristic harmonic content of each order is complete, the 180° square wave current contains all the 2k+1 characteristic harmonic currents of the single-phase system, and the 120° square wave current mode contains all the 6k±1 characteristic harmonic currents of the single-three system ( Wherein, k is a positive integer), so after the currents of the two waveforms are injected into the grid, the voltage and current parameters of the grid system can be responded at different harmonic frequencies, so that the grid resonance frequency of the power system can be accurately detected and the degree of damping.

以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。The present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

图1示出了本发明实施例提供的适用于单相/三相电力系统的有源注入式电网谐振自动检测的电能质量调节装置电路结构,为了便于说明,仅示出了与本发明实施例相关的部分。Fig. 1 shows the circuit structure of the power quality regulating device suitable for the active injection type grid resonance automatic detection of the single-phase/three-phase power system provided by the embodiment of the present invention. relevant part.

电能质量调装置若用于单相电力系统的电网谐振自动检测,主电路包括:以并联方式连接在单相电网与单相非线性负载之间的单相桥式电力电子变换器,第一直流母线电容C1以及第一交流电抗器Lf;第一直流母线电容C1并联在单相桥式电力电子变换器的直流端,第一交流电抗器Lf连接在单相电网与单相桥式电力电子变换器交流侧之间。所述电能质量调节装置若用于三相电力系统的电网谐振自动检测,主电路为:以并联方式连接在三相电网与三相非线性负载之间的三相桥式电力电子变换器,第一直流母线电容C1以及第一交流电抗器组Lf;第一直流母线电容C1并联在三相桥式电力电子变换器的直流端,第一交流电抗器组Lf连接在三相电网与三相桥式电力电子变换器交流侧之间。If the power quality control device is used for automatic detection of grid resonance in a single-phase power system, the main circuit includes: a single-phase bridge-type power electronic converter connected in parallel between the single-phase grid and the single-phase nonlinear load, the first straight The current bus capacitor C 1 and the first AC reactor L f ; the first DC bus capacitor C 1 is connected in parallel to the DC terminal of the single-phase bridge power electronic converter, and the first AC reactor L f is connected to the single-phase power grid and the single-phase between the AC sides of the phase bridge power electronic converter. If the power quality adjustment device is used for automatic detection of grid resonance in a three-phase power system, the main circuit is: a three-phase bridge-type power electronic converter connected in parallel between the three-phase grid and the three-phase nonlinear load, the first A DC bus capacitor C 1 and the first AC reactor group L f ; the first DC bus capacitor C 1 is connected in parallel to the DC end of the three-phase bridge power electronic converter, and the first AC reactor group L f is connected to the three-phase Between the phase grid and the AC side of the three-phase bridge power electronic converter.

如图2所示,为实现上述适用于单相/三相电力系统的基于有源注入电流的电网谐振自动检测方法的系统控制框图,电能质量调节装置并联在交流电网PCC点上,虚线框内为电能质量调节装置的控制系统,外围功能包括谐波电压检测、谐波电流检测、负载谐波检测、输出电流检测以及PWM驱动,分别用于检测电网谐波电压vP、电网谐波电流iS、负载谐波电流iL、输出电流iC及驱动主电路变换器模块开关管的通断;控制核心实现功能包括电网电压锁相PLL、外围各检测信号的RDFT、工作模式选择(包括开关控制信号与S1两部分)、指定次负载谐波补偿(由指定次谐波补偿控制单元实现)、特定波形的电流生成(由指定波形电流指令生成单元实现),最优权值算法的谐振检测分析(通过指令运算与谐振检测模式控制、最优权值算法组合模型两部分实现)以及无静差双闭环控制(包括电压外环控制与电流内环无静差控制两部分)。当电能质量调节装置工作在谐振检测模式时,指令运算与谐振检测模式控制模块输出开关信号,通过开关控制使S1投向参考电流端,开始进行电网谐振点检测。一方面指定波形电流指令生成模块输出参考电流,与电能质量调节装置输出电流比较,并进行无静差双闭环的反馈控制,从而输出PWM信号控制主电路开关管通断;另一方面,指令运算与谐振检测模式控制模块提取出电流指令的谐波成分,与注入电流前后的电网各次特征谐波电压有效值、特征谐波电流有效值及各次谐波视在功率有效值共同作为预处理数据,通过最优权值算法组合模型进行电网谐振点分析,并识别出电网谐振角频率ωr与阻尼系数ζ。As shown in Figure 2, in order to realize the system control block diagram of the above-mentioned grid resonance automatic detection method based on active injection current suitable for single-phase/three-phase power systems, the power quality adjustment device is connected in parallel on the PCC point of the AC grid, and the dotted line box It is the control system of the power quality adjustment device. The peripheral functions include harmonic voltage detection, harmonic current detection, load harmonic detection, output current detection and PWM drive, which are used to detect grid harmonic voltage v P and grid harmonic current i S , the load harmonic current i L , the output current i C and the on-off of the switch tube of the converter module of the main circuit drive; the functions realized by the control core include grid voltage phase-locked PLL, RDFT of peripheral detection signals, working mode selection (including switch control signal and S1), specified sub - load harmonic compensation (realized by the specified sub-harmonic compensation control unit), specific waveform current generation (realized by the specified waveform current command generation unit), and the resonance of the optimal weight algorithm Detection and analysis (realized by command operation and resonance detection mode control, optimal weight algorithm combination model) and no static error double closed-loop control (including voltage outer loop control and current inner loop no static error control). When the power quality adjustment device works in the resonance detection mode, the command operation and resonance detection mode control module outputs the switch signal, and through the switch control, S1 is switched to the reference current terminal, and the grid resonance point detection is started. On the one hand, specify the waveform current instruction generation module to output the reference current, compare it with the output current of the power quality adjustment device, and perform a double closed-loop feedback control without static error, so as to output a PWM signal to control the switching tube of the main circuit; on the other hand, the instruction operation The harmonic component of the current command is extracted with the resonance detection mode control module, and the effective value of the characteristic harmonic voltage, the effective value of the characteristic harmonic current and the effective value of the apparent power of each harmonic before and after the current injection are used as preprocessing Data, through the optimal weight algorithm combination model to analyze the grid resonance point, and identify the grid resonance angular frequency ω r and damping coefficient ζ.

本发明实施例中对于单相电力系统有源注入的参考电流波形采用注入180°方波电流的方式,对于三相电力系统有源注入的参考电流波形采用注入120°方波电流的方式;电压外环控制方式采用PI调节器的反馈控制;电流内环控制控制策略采用dq坐标轴下的无静差闭环控制策略,通过对参考电流进行dq坐标变换,在dq坐标抽下采用PI+RP控制策略,可较好地实现指定方波电流的注入。In the embodiment of the present invention, the reference current waveform for the active injection of the single-phase power system adopts the mode of injecting a 180° square wave current, and the mode of injecting a 120° square wave current for the reference current waveform of the active injection of the three-phase power system; The outer loop control method adopts the feedback control of the PI regulator; the current inner loop control strategy adopts the non-static closed-loop control strategy under the dq coordinate axis, and adopts PI+RP control under the dq coordinate pumping by performing dq coordinate transformation on the reference current The strategy can better realize the injection of the specified square wave current.

图5示出了本发明实施例提供的电网谐振特性参数,即电网谐振角频率ωr与谐振阻尼系数ξ的检测方法实现流程图,具体包括下述步骤:Fig. 5 shows the flow chart of the grid resonance characteristic parameters provided by the embodiment of the present invention, that is, the detection method of the grid resonance angular frequency ω r and the resonance damping coefficient ξ, which specifically includes the following steps:

S1:获取PPC点的电网电压、电网电流以及有源电能质量调节装置输出电流、直流侧电压;并通过数字锁相环节PLL获取电网电压的角频率ω和相位θ。S1: Obtain the grid voltage and grid current of the PPC point, the output current of the active power quality adjustment device, and the DC side voltage; and obtain the angular frequency ω and phase θ of the grid voltage through the digital phase-locked link PLL.

S11:实时进行AD转换,获取公共耦合点的电网电压瞬时值vP、电网电流瞬时值iS以及有源电能质量调节装置输出电流瞬时值iC、直流侧电压瞬时值Vdc;在本发明实施例中,公共耦合点是指电能质量调节装置主电路与电网的连接点。S11: Perform AD conversion in real time to obtain the instantaneous value v P of the grid voltage at the public coupling point, the instantaneous value i S of the grid current, the instantaneous value i C of the output current of the active power quality adjustment device, and the instantaneous value V dc of the DC side voltage; in the present invention In the embodiment, the public coupling point refers to the connection point between the main circuit of the power quality adjustment device and the power grid.

S12:通过数字锁相环节PLL获取所述电网电压的角频率ω和相位θ;S12: Obtain the angular frequency ω and phase θ of the grid voltage through the digital phase-locked link PLL;

S2:对电网电压瞬时值vP和电网电流瞬时值iS分别进行递归离散傅里叶变换,获得电网各次特征谐波电压有效值Vph和特征谐波电流有效值ISh;并根据Vph及ISh获得各次谐波视在功率Sh。其中,h为谐波次数,对于单相系统h=2k+1,对于三相系统h=6k±1,k为正整数,k=1,2,……。S2: Perform recursive discrete Fourier transform on the grid voltage instantaneous value v P and the grid current instantaneous value i S respectively to obtain the effective value V ph of the characteristic harmonic voltage and the effective value I Sh of the characteristic harmonic current of the grid; and according to V ph and I Sh obtain the apparent power Sh of each harmonic. Wherein, h is the harmonic order, for single-phase system h=2k+1, for three-phase system h=6k±1, k is a positive integer, k=1, 2,....

S3:根据指定注入的电流波形及其幅值,生成对应的参考电流i* ref。在单相系统中,以180°方波作为注入电流波形,生成对应的参考电流i* ref,可以经傅里叶分解为:S3: Generate a corresponding reference current i * ref according to the specified injected current waveform and its amplitude. In a single-phase system, the 180° square wave is used as the injected current waveform to generate the corresponding reference current i * ref , which can be decomposed into:

其中,Is为电流有效值,n=2k+1,k为正整数。可见180°方波电流中含有所有奇次谐波分量。Wherein, I s is the effective value of the current, n=2k+1, and k is a positive integer. It can be seen that the 180° square wave current contains all odd harmonic components.

在三相系统中,以120°方波作为注入电流波形,生成对应的三相电流指令i* refa、i* refb、i* refc,其中i* refa的相位超前i* refb120°,i* refb的相位超前i* refc120°。此时120°方波电流可经傅里叶分解为:In the three-phase system, the 120° square wave is used as the injected current waveform to generate the corresponding three-phase current commands i * refa , i * refb , i * refc , where the phase of i * refa is ahead of i * refb by 120°, i * The phase of refb leads i * refc by 120°. At this time, the 120° square wave current can be decomposed by Fourier into:

其中,Is为电流有效值,可见120°方波电流含有所有h=6k±1次谐波分量。Among them, I s is the effective value of the current, and it can be seen that the 120° square wave current contains all h=6k±1 harmonic components.

S4:对电能质量调节装置输出电流进行无静差双闭环的反馈调节,使有源电能调节装置向电网注入与指定电流波形相同的输出电流。S4: Perform static error-free double closed-loop feedback regulation on the output current of the power quality regulating device, so that the active power regulating device injects the same output current as the specified current waveform into the grid.

S41:由输出电流瞬时值iC获得反馈电流if;对直流侧电压瞬时值Vdc进行比例积分(PI)获得有功电流i* dc。对i* ref、-if与i* dc求和,获得误差电流。在单相系统中,单相误差电流为i* er;在三相系统误差电流中,三相误差电流为i* era、i* erb、i* ercS41: Obtain the feedback current if from the instantaneous value of the output current i C ; perform proportional integration (PI) on the instantaneous value of the DC side voltage V dc to obtain the active current i * dc . The error current is obtained by summing i * ref , -i f and i * dc . In the single-phase system, the single-phase error current is i * er ; in the three-phase system error current, the three-phase error current is i * era , i * erb , i * erc .

S42:对于单相系统,将单相误差电流i* er变换为αβ静止坐标系中的电流i* α、i* β,如式(2)所示,再通过第一级dq变换将电流信号流i* α、i* β中不同频率的谐波信号转化为dq坐标系中的信号i* d、i* q,如式(3)所示。S42: For a single-phase system, transform the single-phase error current i * er into the current i * α and i * β in the αβ static coordinate system, as shown in formula (2), and then transform the current signal through the first stage dq transformation The harmonic signals of different frequencies in streams i * α and i * β are transformed into signals i * d and i * q in the dq coordinate system, as shown in formula (3).

对于三相系统,将三相误差电流为i* era、i* erb、i* erc通过dq变换,可以转化为dq坐标系中的指令信号id *、iq *,如式(5)所示。For a three-phase system, the three-phase error currents i * era , i * erb , i * erc can be transformed into command signals i d * , i q * in the dq coordinate system through dq transformation, as shown in formula (5) Show.

S43:在dq坐标系中,对信号id *、iq *进行PI+RP控制,得到参考调制信号u* d和u* q,并参考调制信号u* d和u* q进行dq反变换,得到最终参考调制信号u* r,它与高频载波信号进行比较,根据正弦脉宽调制原理产生PWM信号以控制开关管的通断,从而使有源电能调节装置向电网注入与参考电流波形相同的输出电流iCS43: In the dq coordinate system, perform PI+RP control on the signals i d * and i q * to obtain the reference modulation signals u * d and u * q , and perform dq inverse transformation on the reference modulation signals u * d and u * q , get the final reference modulation signal u * r , compare it with the high-frequency carrier signal, and generate a PWM signal according to the principle of sinusoidal pulse width modulation to control the on-off of the switch tube, so that the active power regulating device injects the reference current waveform into the grid same output current i C .

作为本发明的一个实施例,在静止坐标系下采用比例谐振的控制方式:首先通过S41获得误差电流(单相系统误差电流为i* er;三相系统误差电流为i* era、i* erb、i* erc。),再将误差电流进行比例谐振反馈调节,其中,用于反馈调节的准比例谐振控制器的传递函数为:As an embodiment of the present invention, the proportional resonance control method is adopted in the static coordinate system: first, the error current is obtained through S41 (the single-phase system error current is i * er ; the three-phase system error current is i * era , i * erb , i * erc .), and then adjust the error current with proportional resonance feedback, where the transfer function of the quasi-proportional resonance controller used for feedback adjustment is:

式中Kp为比例项系数,KR为谐振项系数,ωc为控制器的带宽,ω0为控制器增益最大点的频率。经上述反馈调节后获得最终参考调制信号u* r,它与高频载波信号进行比较产生PWM信号以控制开关管的通断,从而使有源电能调节装置向电网注入与参考电流波形相同的输出电流iCIn the formula, K p is the coefficient of the proportional term, K R is the coefficient of the resonance term, ω c is the bandwidth of the controller, and ω 0 is the frequency of the maximum point of the controller gain. After the above feedback adjustment, the final reference modulation signal u * r is obtained, which is compared with the high-frequency carrier signal to generate a PWM signal to control the on-off of the switch tube, so that the active power regulating device injects the same output as the reference current waveform into the grid current i C .

如图3所示为生成的适用于单相系统的180°方波电流波形,如图4所示为生成的适用于单相系统的120°方波电流波形。在向电网注入谐波电流之后,需采用所述基于最优权值算法的谐振检测组合模型进行电网谐振点的判定。Figure 3 shows the generated 180° square wave current waveform suitable for single-phase systems, and Figure 4 shows the generated 120° square wave current waveform suitable for single-phase systems. After the harmonic current is injected into the power grid, the resonance detection combination model based on the optimal weight algorithm needs to be used to determine the resonance point of the power grid.

S5:通过RDFT运算,获取注入参考电流后电网各次特征谐波电压有效值V’ph及特征谐波电流有效值I’Sh,并计算出各次谐波视在功率S’h。并对参考电流i* ref进行RDFT运算,计算出参考电流的各次特征谐波电流有效值I* rhS5: Obtain the effective value V'ph of the characteristic harmonic voltage and the effective value I' Sh of the characteristic harmonic current of the power grid after injecting the reference current through the RDFT operation, and calculate the apparent power S'h of each harmonic. And perform RDFT operation on the reference current i * ref to calculate the RMS value I * rh of each characteristic harmonic current of the reference current.

S6:对谐波电压Vph与V’ph,谐波电流有效值ISh与I’Sh,谐波视在功率Sh与S’h进行同步累积滤波,即根据连续多次测量到的谐波电压、谐波电流及谐波视在功率有效值对其累加求和再取平均值,计算公式为:S6: Perform synchronous cumulative filtering on harmonic voltage V ph and V' ph , harmonic current effective value I Sh and I' Sh , harmonic apparent power S h and S' h , that is, according to the harmonic Wave voltage, harmonic current and harmonic apparent power RMS are accumulated and summed and then averaged. The calculation formula is:

式中:为多次测量的同一信号平均值,Xsi为第i次测量的信号有效值。In the formula: is the average value of the same signal measured multiple times, and X si is the effective value of the signal measured for the ith time.

根据谐波电压、电流及能量的频谱特性,建立谐振检测模型,识别出电网谐振角频率ωr。计算注入指定波形的参考电流前后系统第h次谐波电压变化值与注入的第h次谐波电流的比值FuhAccording to the spectrum characteristics of harmonic voltage, current and energy, a resonance detection model is established to identify the grid resonance angular frequency ω r . Calculate the ratio Fuh of the change value of the system hth harmonic voltage before and after injecting the reference current of the specified waveform to the injected hth harmonic current:

计算系统第h次谐波电流变化值与注入的第h次谐波电流的比值FIhCalculate the ratio F Ih of the change value of the hth harmonic current of the system to the injected hth harmonic current:

计算系统第h次谐波视在功率变化值与注入的第h次谐波电流的比值FShCalculate the ratio F Sh of the hth harmonic apparent power change value of the system to the injected hth harmonic current:

得到Fuh、FIh与FSh后,利用归一化处理方法,对Fuh、FIh与FSh进行线性无量纲化处理,计算公式为:After Fuh , F Ih and F Sh are obtained, the normalization method is used to perform linear dimensionless processing on Fuh , F Ih and F Sh , and the calculation formula is:

其中Y表示电压u、电流I或视在功率S,对于单相系统h=2k+1,对于三相系统h=6k±1,k为正整数。将归一化处理后的结果再代入检测模型加权求和,计算公式为:Where Y represents voltage u, current I or apparent power S, for single-phase system h=2k+1, for three-phase system h=6k±1, k is a positive integer. Substituting the normalized results into the weighted sum of the detection model, the calculation formula is:

其中,wuh为电压检测指标在组合模型中的权重,wIh为电流检测指标在组合模型中的权重,wSh为功率检测指标模型在组合模型中的权重。Fh为注入第h次谐波电流后的第h次谐波组合判定指标,由此可以判定电网谐振角频率ωr。Fh为注入第h次谐波电流后的第h次谐波组合判定指标,通过比较各次谐波的组合判定指标Fh值,获得Fh值最大的谐波次数hr,可以判定电网谐振角频率ωr为ωr=100πhr,即电网谐振频率fr为fr=50hr。权重值wuh、wIh、wSh的选取跟电网系统参数的AD检测精度、负荷及电网的阻抗大小有关。若电网电压AD检测精度比电网电流检测精度高,则wuh取值比wIh大,反之wIh取值比wuh大;当电网电压电流的AD检测精度都较高时,由于功率判定指标为电压判定指标与电流判定指标的乘积,它的频谱曲线更陡峭,用功率判定指标判别电网谐振点更准确,此时wSh可取相对更大的值,但AD检测精度较低时,功率判定指标误差最大,此时wSh取值应相对较小;当电网负荷较大时,电压判定指标与电流判定指标的频谱曲线较平缓,但此时功率判定指标频谱曲线仍较陡峭,wSh可取相对更大的值;当电网阻抗较大时,电压判定指标比电流判定指标的频谱曲线更陡峭,此时权值按递减顺序依次为wSh、wuh、wIh,反之权值按递减顺序依次为wSh、wIh、wuhAmong them, w uh is the weight of the voltage detection index in the combination model, w Ih is the weight of the current detection index in the combination model, and w Sh is the weight of the power detection index model in the combination model. F h is the judging index of the h-th harmonic combination after the h-th harmonic current is injected, from which the resonant angular frequency ω r of the power grid can be judged. F h is the judgment index of the hth harmonic combination after the injection of the hth harmonic current. By comparing the combined judgment index F h value of each harmonic, the harmonic order h r with the largest F h value can be obtained, and the power grid can be judged The resonant angular frequency ω r is ω r =100πh r , that is, the grid resonant frequency f r is f r =50h r . The selection of weight values w uh , w Ih , w Sh is related to the AD detection accuracy of grid system parameters, load and grid impedance. If the grid voltage AD detection accuracy is higher than the grid current detection accuracy, the value of w uh is larger than w Ih , otherwise the value of w Ih is larger than w uh ; when the AD detection accuracy of grid voltage and current is high, due to the power determination It is the product of the voltage judgment index and the current judgment index. Its spectrum curve is steeper, and it is more accurate to use the power judgment index to judge the resonance point of the power grid. At this time, w Sh can take a relatively larger value, but when the AD detection accuracy is low, the power judgment The index error is the largest, and the value of w Sh should be relatively small at this time; when the grid load is large, the spectrum curves of the voltage judgment index and the current judgment index are relatively gentle, but at this time the power judgment index spectrum curve is still steep, and w Sh is desirable Relatively larger value; when the grid impedance is large, the spectrum curve of the voltage judgment index is steeper than the current judgment index, at this time the weights are w Sh , w uh , w Ih in descending order, otherwise the weights are in descending order They are w Sh , w Ih , w uh in turn.

在接有负载的电力系统中,令Z=LSLs+RSL为电网阻抗与负载阻抗的等效阻抗之和,C为电网并联电容器,由于电网系统的等效电阻RSL很小,则电网系统的谐振角频率接近其无阻尼的谐振角频率,那么电网谐振角频率为电网电流IS与负载电流IL之和为ISL,那么ISL与注入电网的电流IC的传递函数为:In the power system connected to the load, let Z=L SL s+R SL be the sum of the equivalent impedance of the grid impedance and the load impedance, C is the parallel capacitor of the grid, since the equivalent resistance R SL of the grid system is very small, then The resonant angular frequency of the grid system is close to its undamped resonant angular frequency, then the resonant angular frequency of the grid is The sum of grid current I S and load current I L is I SL , then the transfer function of I SL and the current I C injected into the grid is:

当s=jωr时,令ICωr为谐振频率处注入电网电流的有效值,ISLωr为谐振频率处电网与负载电流之和。可得电网谐振频率处的幅频响应:When s= jωr , let I Cωr be the effective value of the grid current injected at the resonant frequency, and I SLωr be the sum of the grid and the load current at the resonant frequency. The amplitude-frequency response at the resonant frequency of the power grid can be obtained:

由此可计算得到谐振阻尼系数为: From this, the resonance damping coefficient can be calculated as:

本发明实施例中采用注入180°方波电流的方式检测单相电网谐振点,采用注入120°方波电流的方式检测三相电网谐振点。180°方波电流中含有单相电路中可能出现的所有奇次特征谐波,120°方波电流中含有三相三线制系统中可能出现的所有(6k±1)次谐波,对电网谐波谐振检测的准确度较高;另外,实现有源注入参考电流与谐振分析算法的功能都集成在电能质量调节装置上,操作简单方便,能够快速、准确地实现电网谐振的在线自动检测功能,从而确保电力系统稳定可靠运行。In the embodiment of the present invention, the resonance point of the single-phase grid is detected by injecting a 180° square wave current, and the resonance point of the three-phase grid is detected by injecting a 120° square wave current. The 180° square wave current contains all odd-order characteristic harmonics that may appear in single-phase circuits, and the 120° square wave current contains all (6k±1) order harmonics that may appear in three-phase three-wire systems. The accuracy of wave resonance detection is high; in addition, the functions of active injection reference current and resonance analysis algorithm are integrated on the power quality adjustment device, which is simple and convenient to operate, and can quickly and accurately realize the online automatic detection function of grid resonance. So as to ensure the stable and reliable operation of the power system.

本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。It is easy for those skilled in the art to understand that the above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, All should be included within the protection scope of the present invention.

Claims (2)

1. A power grid resonance automatic detection method based on active injection current is characterized by comprising the following steps:
s1: acquiring the power grid voltage and the power grid current of a public coupling point, the output current of the power quality adjusting device and the voltage of a direct current side; acquiring the angular frequency omega and the phase theta of the power grid voltage through a digital phase-locked loop PLL;
the public coupling point refers to a connection point of a main circuit of the power quality adjusting device and a power grid, and the output current refers to the output current i of the active power quality adjusting deviceC
S2: performing recursive discrete Fourier transform on the power grid voltage and the power grid current respectively to obtain effective values V of each characteristic harmonic voltage of the power gridphAnd the effective value of characteristic harmonic current ISh(ii) a And according to the characteristic harmonic voltage effective value VphAnd the effective value of characteristic harmonic current IShObtaining the first apparent power S of each harmonich
S3: obtaining a reference current i corresponding to the set current waveform according to the set current waveform* ref(ii) a And for the reference current i* refPerforming recursive discrete Fourier transform to obtain effective value I of each sub-characteristic harmonic current of the reference current* rh
S4: performing non-static-error double closed-loop feedback regulation on the output current, so that the active electric energy regulating device injects the output current with the same waveform as the set current into the power grid;
s5: when the output current is equal to the set current waveform, performing recursive discrete Fourier transform on the power grid voltage and the power grid current at the moment respectively to obtain effective values V 'of each sub-characteristic harmonic voltage of the power grid after the reference current is injected'phAnd characteristic harmonic current effective value I'ShAccording to the characteristic harmonic voltage effective value V'phAnd characteristic harmonic current effective value I'ShObtaining second apparent power S 'of each subharmonic'h
S6: according to the effective value V of each sub-characteristic harmonic voltage of the power grid before and after the reference current is injectedphAnd V'phEffective value of characteristic harmonic current IShAnd l'ShApparent power S of characteristic harmonic wavehAnd S'hEffective value of each sub-characteristic harmonic current I of reference current* rhObtaining system characteristic parameters for describing the resonance of the power grid: grid resonant angular frequency omegarAnd a damping coefficient ζ;
in step S3, the set current waveform is 180 ° square wave current or 120 ° square wave current;
in step S6, according to the formulaObtaining the h-th harmonic combination judgment index F after the h-th harmonic current is injectedhBy comparing the comprehensive detection indexes F of the harmonicshValue obtaining FhMaximum harmonic order hrAnd according to the harmonic number hrObtaining the resonant angular frequency omega of the power gridr=100πhrI.e. the resonant frequency of the network is fr=50hr(ii) a And according to the formulaA damping coefficient ζ is obtained, and,
wherein, wuhFor the weight of the voltage detection indicator in the combined model, wIhFor the weight of the current detection indicator in the combined model, wShWeights of the power detection index model in the combined model are obtained; f* uhIs pair FuhValue after linear dimensionless processing, F* IhIs pair FIhValue after linear dimensionless processing, F* ShIs pair FShValue after linear dimensionless processing, ICωrFor injecting effective value of grid current at resonance frequency, ISLωrIs the sum of the grid and load currents at the resonant frequency; n is 2k +1, k is a positive integer, FuhIs the ratio of the h harmonic voltage variation value of the power grid to the h harmonic current injected, FIhIs the ratio of the h harmonic current variation value of the power grid to the h harmonic current injected, FShIs the ratio of the power grid h harmonic power variation value to the square of the injected h harmonic current, wherein,
2. the method for automatically detecting the grid resonance according to claim 1, wherein the step S4 specifically comprises:
s41: obtaining a feedback current i from the output currentf(ii) a To the DC side voltage VdcProportional integral is carried out to obtain active current i* dc
S42: according to the reference current i* refFeedback current ifObtaining an error current from the active current, and then carrying out current regulation on the error current to obtain a reference modulation signal u* r
S43: modulating the reference modulation signal u* rComparing with the high-frequency carrier signal to obtain a PWM switching signal; the PWM switching signal is used for controlling the on-off of the switching tube, so that the active electric energy adjusting device injects output current with the same waveform as the set current into the power grid.
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