CN112688338A - UPQC power quality compensation control method based on frequency-locked loop steady-state linear Kalman filtering - Google Patents
UPQC power quality compensation control method based on frequency-locked loop steady-state linear Kalman filtering Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及电力电子控制领域,特别是一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制方法。The invention relates to the field of power electronic control, in particular to a UPQC power quality compensation control method based on a frequency-locked loop steady-state linear Kalman filter.
背景技术Background technique
电力系统中非线性负荷的快速发展导致了公共耦合点的电能质量(PQ)的恶化。非线性负载大多基于电力电子器件。基于电力电子技术的柔性交流输电系统(FACTS)装置是提高输电系统无功功率可靠性和控制能力的最有效的手段。FACTS能够保证系统灵活性并且能够对故障快速响应。采用统一潮流控制器(UPFC)能够直流输电系统中的母线电压和潮流进行调节和控制。为了提高配电网的电能质量,还配置了并联、串联以及混联等FACTS装置。在这些装置中,统一电能质量控制器(UPQC)是一种类似于UPFC的混合装置,它结合了并联和串联有源电力补偿器(APF)的功能。并联型APF用于补偿电流的电能质量问题,而串联型APF用于补偿电压的电能质量问题。同时,UPQC还能提高系统的功率因数。因此,UPQC被认为是解决电能质量问题的最有效设备。The rapid development of nonlinear loads in power systems leads to the deterioration of power quality (PQ) at the point of common coupling. Non-linear loads are mostly based on power electronics. The flexible AC transmission system (FACTS) device based on power electronic technology is the most effective means to improve the reliability and control ability of reactive power in the transmission system. FACTS guarantees system flexibility and fast response to failures. The unified power flow controller (UPFC) can be used to regulate and control the bus voltage and power flow in the DC transmission system. In order to improve the power quality of the distribution network, FACTS devices such as parallel connection, series connection and hybrid connection are also configured. Among these devices, a unified power quality controller (UPQC) is a hybrid device similar to a UPFC that combines the functions of parallel and series active power compensators (APFs). The parallel type APF is used to compensate the power quality problem of current, while the series type APF is used to compensate the power quality problem of voltage. At the same time, UPQC can also improve the power factor of the system. Therefore, UPQC is considered to be the most effective device to solve the power quality problem.
UPQC常用的控制技术包括瞬时无功功率理论(IRPT)、同步参考系理论(SRF)、单位矢量模板法、瞬时对称分量理论(ISCT)。在这些理论中,SRF算法的结构最简单,计算成本最低,是最简单的控制方法。其中,电网电压基波分量的提取是不对称电压或谐波畸变条件下注入平衡正序电流的重要要求,但SRF算法需要使用低通滤波器(LPF)会造成信号延迟,对电网电压基波分量的提取产生不利影响,影响UPQC的控制效果,不利于实现电能质量的补偿。传统的二阶广义积分器锁频环(SOGI-FLL)滤波器提取基波分量,在电网电压平滑的情况下具有较高的精度。但由于二阶广义积分器(SOGI)滤波器的衰减能力有限,在畸变电网条件下同步误差较大,极易受到系统中低阶谐波和直流偏移的影响。Commonly used control techniques for UPQC include Instantaneous Reactive Power Theory (IRPT), Synchronous Reference Frame Theory (SRF), Unit Vector Template Method, and Instantaneous Symmetric Component Theory (ISCT). Among these theories, the SRF algorithm has the simplest structure and the lowest computational cost, and is the simplest control method. Among them, the extraction of the fundamental component of the grid voltage is an important requirement for injecting balanced positive sequence current under the condition of asymmetric voltage or harmonic distortion. However, the SRF algorithm needs to use a low-pass filter (LPF), which will cause signal delay and affect the fundamental voltage of the grid. The extraction of components has adverse effects, affects the control effect of UPQC, and is not conducive to the compensation of power quality. The traditional second-order generalized integrator frequency-locked loop (SOGI-FLL) filter extracts the fundamental component, which has high accuracy in the case of grid voltage smoothing. However, due to the limited attenuation capability of the second-order generalized integrator (SOGI) filter, the synchronization error is large under the condition of distorted grid, and it is extremely susceptible to the influence of low-order harmonics and DC offset in the system.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于:提出一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制方法,能够较好的提升UPQC对系统电能质量治理的能力。The purpose of the present invention is to propose a UPQC power quality compensation control method based on a frequency-locked loop steady-state linear Kalman filter, which can better improve the UPQC's ability to control the power quality of the system.
本发明的技术解决方案是:一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制方法,包括如下步骤:The technical solution of the present invention is: a UPQC power quality compensation control method based on a frequency-locked loop steady-state linear Kalman filter, comprising the following steps:
步骤1:设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计;Step 1: Design the structural topology of the UPQC system, and design parameters for the structural topology;
步骤2:用基于锁频环FLL的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量。Step 2: Use the steady-state linear Kalman filter SSLKF based on the frequency-locked loop FLL to filter the α component v a and the β component v b of the voltage to obtain the positive sequence component of the voltage fundamental wave.
步骤3:根据步骤2中生成的电压基波分量,生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压。Step 3: According to the voltage fundamental wave component generated in
一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制系统,包含以下模块:A UPQC power quality compensation control system based on frequency-locked loop steady-state linear Kalman filter, including the following modules:
结构与参数设计模块:用于设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计;Structural and parameter design module: used to design the structural topology of the UPQC system, and design parameters for the structural topology;
滤波模块:用于对对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量;Filtering module: used to filter the α component v a and the β component v b of the voltage to obtain the positive sequence component of the voltage fundamental wave;
补偿器触发模块:用于利用滤波模块生成的电压基波分量,按所提控制策略生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压。Compensator trigger module: It is used to use the voltage fundamental wave component generated by the filter module to generate the UPQC reference signal according to the proposed control strategy to control the UPQC, and trigger the compensator to generate compensation current and compensation voltage.
与现有技术相比,本发明的有益效果为:1)对三相UPQC系统在非线性负载下进行稳态线性卡尔曼滤波器(SSLKF)控制,改善电网在非线性负载下的电能质量,提高电网的稳定性和鲁棒性,增强UPQC系统的控制效果和动态响应性能;2)SSLKF-FLL显著改善了直流偏移滤波,具有计算量少和动态响应速度快的特点,能够较好的提升UPQC对系统电能质量治理的能力。Compared with the prior art, the beneficial effects of the present invention are: 1) the steady-state linear Kalman filter (SSLKF) control is performed on the three-phase UPQC system under the nonlinear load, so as to improve the power quality of the power grid under the nonlinear load, Improve the stability and robustness of the power grid, and enhance the control effect and dynamic response performance of the UPQC system; 2) SSLKF-FLL significantly improves the DC offset filtering, has the characteristics of less calculation and fast dynamic response, and can better Improve UPQC's ability to control system power quality.
下面结合附图对本发明作进一步详细介绍。The present invention will be further described in detail below in conjunction with the accompanying drawings.
附图说明Description of drawings
图1为本发明的UPQC拓扑结构图。Fig. 1 is the topological structure diagram of UPQC of the present invention.
图2为本发明的基于稳态线性卡尔曼滤波器的锁频环结构图。FIG. 2 is a structural diagram of a frequency-locked loop based on a steady-state linear Kalman filter of the present invention.
图3为本发明的同相分量(Vfα)的SSLKF-FLL相对于输入信号(Vin)的波特图FIG. 3 is a Bode plot of the SSLKF-FLL of the in-phase component (V fα ) of the present invention with respect to the input signal (V in )
图4为本发明的实施例中采用SSLKF-FLL方法产生UPQC补偿器参考信号图。FIG. 4 is a diagram of generating a reference signal of an UPQC compensator by adopting the SSLKF-FLL method in an embodiment of the present invention.
图5为本发明的实施例中UPQC控制算法及并联变换器的动态特性图。FIG. 5 is a dynamic characteristic diagram of an UPQC control algorithm and a parallel converter in an embodiment of the present invention.
图6为本发明的实施例中采用SSLKF-FLL的UPQC稳态和动态响应图。FIG. 6 is a graph of steady-state and dynamic responses of UPQC using SSLKF-FLL in an embodiment of the present invention.
具体实施方式Detailed ways
一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制方法,其特征在于,包括如下步骤:A UPQC power quality compensation control method based on a frequency-locked loop steady-state linear Kalman filter, characterized in that it includes the following steps:
步骤1:结合图1,设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计,具体包含以下步骤:Step 1: Combined with Figure 1, design the structural topology of the UPQC system, and design parameters for the structural topology, including the following steps:
步骤1-1:所述UPQC系统包含并联补偿器、串联补偿器、附加直流电容器、串并联接口电感器和纹波滤波器,直流母线电压控制采用SSLKF-FLL算法,采用比例积分PI控制和正弦脉宽调制SPWM开关技术,每个补偿器由六个绝缘栅双极晶体管IGBT开关组成,串联和并联补偿器分别通过串并联接口电感器与电网相连;Step 1-1: The UPQC system includes a parallel compensator, a series compensator, an additional DC capacitor, a series-parallel interface inductor, and a ripple filter. The DC bus voltage is controlled by SSLKF-FLL algorithm, proportional and integral PI control and sinusoidal Pulse width modulation SPWM switching technology, each compensator is composed of six insulated gate bipolar transistor IGBT switches, and the series and parallel compensators are respectively connected to the grid through series-parallel interface inductors;
步骤1-2:UPQC系统参数设计如下:计算直流电压VDC:Step 1-2: The parameters of the UPQC system are designed as follows: Calculate the DC voltage V DC :
其中,m为调制指数,VL为电网电压;Among them, m is the modulation index, and VL is the grid voltage;
计算并联补偿器相电流Ish:Calculate the shunt compensator phase current I sh :
其中,fsw为开关频率,Icr,pp为电流纹波,a为过载系数;Among them, f sw is the switching frequency, I cr, pp is the current ripple, and a is the overload coefficient;
计算直流电容CDC:Calculate the DC capacitance C DC :
其中,k为能量动态变化系数,Vph为相电压,t为恢复直流线路电压的时间,VDC1是最小直流电压值;Among them, k is the energy dynamic change coefficient, V ph is the phase voltage, t is the time to restore the DC line voltage, and V DC1 is the minimum DC voltage value;
计算串联接口电感器Lse:Calculate the series interface inductor L se :
其中:Icr,swell为纹波电流、N为匝数比。Among them: I cr, swell is the ripple current, N is the turns ratio.
步骤2:用基于锁频环(FLL)的稳态线性卡尔曼滤波器(SSLKF)对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量,具体为:Step 2: Filter the α component v a and the β component v b of the voltage with a steady-state linear Kalman filter (SSLKF) based on a frequency-locked loop (FLL) to obtain the positive sequence component of the voltage fundamental wave, specifically:
用基于锁频环(FLL)的稳态线性卡尔曼滤波器(SSLKF)对电压的α分量va和β分量vb进行滤波,以计算电压基波分量vfa和vfb:The alpha component v a and beta component v b of the voltage are filtered with a frequency-locked loop (FLL) based steady-state linear Kalman filter (SSLKF) to calculate the voltage fundamental components v fa and v fb :
其中,ω为常数,vin为电源电压vsabc,k1、k2为卡尔曼参数。Among them, ω is a constant, v in is the power supply voltage v sabc , and k 1 and k 2 are Kalman parameters.
步骤3:根据步骤2中生成的电压基波分量,生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压,具体为:Step 3: According to the voltage fundamental wave component generated in
步骤3-1:利用电压基波分量vfa和vfb以及通过正交变换得到的正交分量qvfa和qvfb计算:Step 3-1: Calculate using the fundamental voltage components v fa and v fb and the quadrature components qv fa and qv fb obtained by quadrature transformation:
步骤3-2:利用Clark变换矩阵的逆矩阵对基波正序电压和进行逆变换得到 Step 3-2: Use the inverse of the Clark transformation matrix to calculate the fundamental positive sequence voltage and Inverse transform to get
步骤3-3:计算参考直流链路电压和实际测得的直流电压VDC的差值得到vde,其差值经过PI控制器得到功率损耗分量Ploss,计算公式为:Step 3-3: Calculate the reference DC link voltage The difference between the actual measured DC voltage V DC is v de , and the difference is obtained through the PI controller to obtain the power loss component P loss , and the calculation formula is:
Ploss(t)=Ploss(t-1)+kp{vde(t)-vde(t-1)}P loss (t)=P loss (t-1)+k p {v de (t)-v de (t-1)}
其中,功率Ploss(t)为t时刻供电电流的有功功率,Ploss不仅包含了所有的开关损耗,还包含了UPQC装置的损耗,kp为下垂控制系数,vde(t)为t时刻参考直流链路电压和实际测得的直流电压VDC的差值;Among them, the power P loss (t) is the active power of the supply current at time t, P loss not only includes all switching losses, but also the loss of the UPQC device, kp is the droop control coefficient, and v de (t) is the reference at time t. DC link voltage The difference between the actual measured DC voltage V DC ;
对负载电压Vlabc和负载电流ilabc作点积处理,得到平均负载功率Plavg,则参考功率Pref表示为:Do the dot product processing of the load voltage V labc and the load current i labc to obtain the average load power P lavg , then the reference power P ref is expressed as:
Pref=Plavg+Ploss P ref =P lavg +P loss
步骤3-4:生成补偿电流,具体为:Step 3-4: Generate compensation current, specifically:
步骤3-4-1:计算参考电流 Step 3-4-1: Calculate the reference current
其中,为实际测得的平衡正序参考电网输入电压;in, is the actual measured balanced positive sequence reference grid input voltage;
步骤3-4-2:将参考电流与侧到的实际电流isabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电流控制信号控制并联补偿器中VSC换流器开关的关断;从而完成补偿;Step 3-4-2: Insert the reference current After doing the difference operation with the actual current i sabc from the side, the difference signal is sent to the SPWM pulse trigger, and the compensation current control signal is generated in the pulse trigger to control the turn-off of the VSC converter switch in the parallel compensator. ; to complete the compensation;
步骤3-5:生成补偿电压,具体为:Step 3-5: Generate compensation voltage, specifically:
步骤3-5-1:计算参考负载电压 Step 3-5-1: Calculate the reference load voltage
其中,为设定的峰值参考电压,为单元模板;in, is the set peak reference voltage, is the unit template;
步骤3-5-2:将参考负载电压与侧到的实际负载电压vlabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电压控制信号控制串联补偿器中VSC换流器开关的关断,从而生成完成补偿。Step 3-5-2: Set the reference load voltage After doing the difference operation with the actual load voltage v labc on the side, the difference signal is sent to the SPWM pulse trigger, and the compensation voltage control signal is generated in the pulse trigger to control the closing of the VSC converter switch in the series compensator. is interrupted, thereby generating a complete compensation.
一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制系统,包含以下模块:A UPQC power quality compensation control system based on frequency-locked loop steady-state linear Kalman filter, including the following modules:
结构与参数设计模块:用于设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计;Structural and parameter design module: used to design the structural topology of the UPQC system, and design parameters for the structural topology;
滤波模块:用于对对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量;Filtering module: used to filter the α component v a and the β component v b of the voltage to obtain the positive sequence component of the voltage fundamental wave;
补偿器触发模块:用于利用滤波模块生成的电压基波分量,生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压。Compensator trigger module: It is used to generate the UPQC reference signal to control the UPQC by using the voltage fundamental wave component generated by the filter module, and trigger the compensator to generate compensation current and compensation voltage.
一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,其特征在于,所述处理器执行所述计算机程序时实现以下步骤:A computer device, comprising a memory, a processor, and a computer program stored on the memory and running on the processor, wherein the processor implements the following steps when executing the computer program:
步骤1:设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计,具体包含以下步骤:Step 1: Design the structural topology of the UPQC system, and design parameters for the structural topology, including the following steps:
步骤1-1:所述UPQC系统包含并联补偿器、串联补偿器、附加直流电容器、串并联接口电感器和纹波滤波器,直流母线电压控制采用SSLKF-FLL算法,采用比例积分PI控制和正弦脉宽调制SPWM开关技术,每个补偿器由六个绝缘栅双极晶体管IGBT开关组成,串联和并联补偿器分别通过串并联接口电感器与电网相连;Step 1-1: The UPQC system includes a parallel compensator, a series compensator, an additional DC capacitor, a series-parallel interface inductor, and a ripple filter. The DC bus voltage is controlled by SSLKF-FLL algorithm, proportional and integral PI control and sinusoidal Pulse width modulation SPWM switching technology, each compensator is composed of six insulated gate bipolar transistor IGBT switches, and the series and parallel compensators are respectively connected to the grid through series-parallel interface inductors;
步骤1-2:UPQC系统参数如下:计算直流电压VDC:Step 1-2: The UPQC system parameters are as follows: Calculate the DC voltage V DC :
其中,m为调制指数,VL为电网电压;Among them, m is the modulation index, and VL is the grid voltage;
计算并联补偿器相电流Ish:Calculate the shunt compensator phase current I sh :
其中,fsw为开关频率,Icr,pp为电流纹波,a为过载系数;Among them, f sw is the switching frequency, I cr, pp is the current ripple, and a is the overload coefficient;
计算直流电容CDC:Calculate the DC capacitance C DC :
其中,k为能量动态变化系数,Vph为相电压,t为恢复直流线路电压的时间,VDC1是最小直流电压值;Among them, k is the energy dynamic change coefficient, V ph is the phase voltage, t is the time to restore the DC line voltage, and V DC1 is the minimum DC voltage value;
计算串联接口电感器Lse:Calculate the series interface inductor L se :
其中:Icr,swell为纹波电流、N为匝数比。Among them: I cr, swell is the ripple current, N is the turns ratio.
步骤2:根据步骤1中设计的UPQC系统的结构拓扑和参数,基于锁频环(FLL)的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量,具体为:Step 2: According to the structural topology and parameters of the UPQC system designed in
用基于锁频环FLL的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以计算电压基波分量vfa和vfb:The alpha component v a and beta component v b of the voltage are filtered with a steady-state linear Kalman filter SSLKF based on a frequency-locked loop FLL to calculate the voltage fundamental components v fa and v fb :
其中,ω为常数,vin为电源电压vsabc,k1、k2为卡尔曼参数。Among them, ω is a constant, v in is the power supply voltage v sabc , and k 1 and k 2 are Kalman parameters.
步骤3:根据步骤2中生成的电压基波分量,生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压,具体为:Step 3: According to the voltage fundamental wave component generated in
步骤3-1:利用电压基波分量vfa和vfb以及通过正交变换得到的正交分量qvfa和qvfb计算:Step 3-1: Calculate using the fundamental voltage components v fa and v fb and the quadrature components qv fa and qv fb obtained by quadrature transformation:
步骤3-2:利用Clark变换矩阵的逆矩阵对基波正序电压和进行逆变换得到 Step 3-2: Use the inverse of the Clark transformation matrix to calculate the fundamental positive sequence voltage and Inverse transform to get
步骤3-3:计算参考直流链路电压和实际测得的直流电压VDC的差值得到vde,其差值经过PI控制器得到功率损耗分量Ploss,计算公式为:Step 3-3: Calculate the reference DC link voltage The difference between the actual measured DC voltage V DC is v de , and the difference is obtained through the PI controller to obtain the power loss component P loss , and the calculation formula is:
Ploss(t)=Ploss(t-1)+kp{vde(t)-vde(t-1)}P loss (t)=P loss (t-1)+k p {v de (t)-v de (t-1)}
其中,功率Ploss(t)为t时刻供电电流的有功功率,kp为下垂控制系数;Among them, power P loss (t) is the active power of the supply current at time t, and kp is the droop control coefficient;
对负载电压Vlabc和负载电流ilabc作点积处理,得到平均负载功率Plavg,则参考功率Pref表示为:Do the dot product processing of the load voltage V labc and the load current i labc to obtain the average load power P lavg , then the reference power P ref is expressed as:
Pref=Plavg+Ploss P ref =P lavg +P loss
步骤3-4:生成补偿电流,具体为:Step 3-4: Generate compensation current, specifically:
步骤3-4-1:计算参考电流 Step 3-4-1: Calculate the reference current
其中,为实际测得的平衡正序参考电网输入电压;in, is the actual measured balanced positive sequence reference grid input voltage;
步骤3-4-2:将参考电流与侧到的实际电流isabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电流控制信号控制并联补偿器中VSC换流器开关的关断;从而完成补偿;Step 3-4-2: Insert the reference current After doing the difference operation with the actual current i sabc from the side, the difference signal is sent to the SPWM pulse trigger, and the compensation current control signal is generated in the pulse trigger to control the turn-off of the VSC converter switch in the parallel compensator. ; to complete the compensation;
步骤3-5:生成补偿电压,具体为:Step 3-5: Generate compensation voltage, specifically:
步骤3-5-1:计算参考负载电压 Step 3-5-1: Calculate the reference load voltage
其中,为设定的峰值参考电压,为单元模板;in, is the set peak reference voltage, is the unit template;
步骤3-5-2:将参考负载电压与侧到的实际负载电压vlabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电压控制信号控制串联补偿器中VSC换流器开关的关断,从而生成完成补偿。Step 3-5-2: Set the reference load voltage After doing the difference operation with the actual load voltage v labc on the side, the difference signal is sent to the SPWM pulse trigger, and the compensation voltage control signal is generated in the pulse trigger to control the closing of the VSC converter switch in the series compensator. is interrupted, thereby generating a complete compensation.
一种计算机可存储介质,其上存储有计算机程序,其特征在于,所述计算机程序被处理器执行时实现以下步骤:A computer-storable medium on which a computer program is stored, characterized in that, when the computer program is executed by a processor, the following steps are implemented:
步骤1:设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计,具体包含以下步骤:Step 1: Design the structural topology of the UPQC system, and design parameters for the structural topology, including the following steps:
步骤1-1:所述UPQC系统包含并联补偿器、串联补偿器、附加直流电容器、串并联接口电感器和纹波滤波器,直流母线电压控制采用SSLKF-FLL算法,采用比例积分PI控制和正弦脉宽调制SPWM开关技术,每个补偿器由六个绝缘栅双极晶体管IGBT开关组成,串联和并联补偿器分别通过串并联接口电感器与电网相连;Step 1-1: The UPQC system includes a parallel compensator, a series compensator, an additional DC capacitor, a series-parallel interface inductor, and a ripple filter. The DC bus voltage is controlled by SSLKF-FLL algorithm, proportional and integral PI control and sinusoidal Pulse width modulation SPWM switching technology, each compensator is composed of six insulated gate bipolar transistor IGBT switches, and the series and parallel compensators are respectively connected to the grid through series-parallel interface inductors;
步骤1-2:UPQC系统参数如下:计算直流电压VDC:Step 1-2: The UPQC system parameters are as follows: Calculate the DC voltage V DC :
其中,m为调制指数,VL为电网电压;Among them, m is the modulation index, and VL is the grid voltage;
计算并联补偿器相电流Ish:Calculate the shunt compensator phase current I sh :
其中,fsw为开关频率,Icr,pp为电流纹波,a为过载系数;Among them, f sw is the switching frequency, I cr, pp is the current ripple, and a is the overload coefficient;
计算直流电容CDC:Calculate the DC capacitance C DC :
其中,k为能量动态变化系数,Vph为相电压,t为恢复直流线路电压的时间,VDC1是最小直流电压值;Among them, k is the energy dynamic change coefficient, V ph is the phase voltage, t is the time to restore the DC line voltage, and V DC1 is the minimum DC voltage value;
计算串联接口电感器Lse:Calculate the series interface inductor L se :
其中:Icr,swell为纹波电流、N为匝数比。Among them: I cr, swell is the ripple current, N is the turns ratio.
步骤2:根据步骤1中设计的UPQC系统的结构拓扑和参数,基于锁频环FLL的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量,具体为:Step 2: According to the structural topology and parameters of the UPQC system designed in
用基于锁频环FLL的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以计算电压基波分量vfa和vfb:The alpha component v a and beta component v b of the voltage are filtered with a steady-state linear Kalman filter SSLKF based on a frequency-locked loop FLL to calculate the voltage fundamental components v fa and v fb :
其中,ω为常数,vin为电源电压vsabc,k1、k2为卡尔曼参数。Among them, ω is a constant, v in is the power supply voltage v sabc , and k 1 and k 2 are Kalman parameters.
步骤3:根据步骤2中生成的电压基波分量,生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压,具体为:Step 3: According to the voltage fundamental wave component generated in
步骤3-1:利用电压基波分量vfa和vfb以及通过正交变换得到的正交分量qvfa和qvfb计算:Step 3-1: Calculate using the fundamental voltage components v fa and v fb and the quadrature components qv fa and qv fb obtained by quadrature transformation:
步骤3-2:利用Clark变换矩阵的逆矩阵对基波正序电压和进行逆变换得到 Step 3-2: Use the inverse of the Clark transformation matrix to calculate the fundamental positive sequence voltage and Inverse transform to get
步骤3-3:计算参考直流链路电压和实际测得的直流电压VDC的差值得到vde,其差值经过PI控制器得到功率损耗分量Ploss,计算公式为:Step 3-3: Calculate the reference DC link voltage The difference between the actual measured DC voltage V DC is v de , and the difference is obtained through the PI controller to obtain the power loss component P loss , and the calculation formula is:
Ploss(t)=Ploss(t-1)+kp{vde(t)-vde(t-1)}P loss (t)=P loss (t-1)+k p {v de (t)-v de (t-1)}
其中,功率Ploss(t)为t时刻供电电流的有功功率,kp为下垂控制系数;Among them, power P loss (t) is the active power of the supply current at time t, and kp is the droop control coefficient;
对负载电压Vlabc和负载电流ilabc作点积处理,得到平均负载功率Plavg,则参考功率Pref表示为:Do the dot product processing of the load voltage V labc and the load current i labc to obtain the average load power P lavg , then the reference power P ref is expressed as:
Pref=Plavg+Ploss P ref =P lavg +P loss
步骤3-4:生成补偿电流,具体为:Step 3-4: Generate compensation current, specifically:
步骤3-4-1:计算参考电流 Step 3-4-1: Calculate the reference current
其中,为实际测得的平衡正序参考电网输入电压;in, is the actual measured balanced positive sequence reference grid input voltage;
步骤3-4-2:将参考电流与侧到的实际电流isabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电流控制信号控制并联补偿器中VSC换流器开关的关断;从而完成补偿;Step 3-4-2: Insert the reference current After doing the difference operation with the actual current i sabc from the side, the difference signal is sent to the SPWM pulse trigger, and the compensation current control signal is generated in the pulse trigger to control the turn-off of the VSC converter switch in the parallel compensator. ; to complete the compensation;
步骤3-5:生成补偿电压,具体为:Step 3-5: Generate compensation voltage, specifically:
步骤3-5-1:计算参考负载电压 Step 3-5-1: Calculate the reference load voltage
其中,为设定的峰值参考电压,为单元模板;in, is the set peak reference voltage, is the unit template;
步骤3-5-2:将参考负载电压与侧到的实际负载电压vlabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电压控制信号控制串联补偿器中VSC换流器开关的关断,从而生成完成补偿。Step 3-5-2: Set the reference load voltage After doing the difference operation with the actual load voltage v labc on the side, the difference signal is sent to the SPWM pulse trigger, and the compensation voltage control signal is generated in the pulse trigger to control the closing of the VSC converter switch in the series compensator. is interrupted, thereby generating a complete compensation.
下面结合附图与实施例对本发明做详细说明。The present invention will be described in detail below with reference to the accompanying drawings and embodiments.
实施例Example
一种基于锁频环稳态线性卡尔曼滤波的UPQC电能质量补偿控制方法,其特征在于,包括如下步骤:A UPQC power quality compensation control method based on a frequency-locked loop steady-state linear Kalman filter, characterized in that it includes the following steps:
步骤1:结合图1,设计UPQC系统的结构拓扑,并针对结构拓扑进行参数设计,具体包含以下步骤:Step 1: Combined with Figure 1, design the structural topology of the UPQC system, and design parameters for the structural topology, including the following steps:
步骤1-1:所述UPQC系统包含并联补偿器、串联补偿器、附加直流电容器、串并联接口电感器和纹波滤波器,直流母线电压控制采用SSLKF-FLL算法,采用比例积分PI控制和正弦脉宽调制SPWM开关技术,每个补偿器由六个绝缘栅双极晶体管IGBT开关组成,串联和并联补偿器分别通过串并联接口电感器与电网相连;Step 1-1: The UPQC system includes a parallel compensator, a series compensator, an additional DC capacitor, a series-parallel interface inductor, and a ripple filter. The DC bus voltage is controlled by SSLKF-FLL algorithm, proportional and integral PI control and sinusoidal Pulse width modulation SPWM switching technology, each compensator is composed of six insulated gate bipolar transistor IGBT switches, and the series and parallel compensators are respectively connected to the grid through series-parallel interface inductors;
步骤1-2:UPQC系统参数设计如下:计算直流电压VDC:Step 1-2: The parameters of the UPQC system are designed as follows: Calculate the DC voltage V DC :
其中,m为调制指数,VL为电网电压;Among them, m is the modulation index, and VL is the grid voltage;
计算并联补偿器相电流Ish:Calculate the shunt compensator phase current I sh :
其中,fsw为开关频率,Icr,pp为电流纹波,a为过载系数;Among them, f sw is the switching frequency, I cr, pp is the current ripple, and a is the overload coefficient;
计算直流电容CDC:Calculate the DC capacitance C DC :
其中,k为能量动态变化系数,Vph为相电压,t为恢复直流线路电压的时间,VDC1是最小直流电压值;Among them, k is the energy dynamic change coefficient, V ph is the phase voltage, t is the time to restore the DC line voltage, and V DC1 is the minimum DC voltage value;
计算串联接口电感器Lse:Calculate the series interface inductor L se :
其中:Icr,swell为纹波电流、N为匝数比。Among them: I cr, swell is the ripple current, N is the turns ratio.
步骤2:用基于锁频环FLL的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以获得电压基波正序分量,具体为:Step 2: Use the steady-state linear Kalman filter SSLKF based on the frequency-locked loop FLL to filter the α component v a and the β component v b of the voltage to obtain the positive sequence component of the voltage fundamental wave, specifically:
用基于锁频环FLL的稳态线性卡尔曼滤波器SSLKF对电压的α分量va和β分量vb进行滤波,以计算电压基波分量vfa和vfb:The alpha component v a and beta component v b of the voltage are filtered with a steady-state linear Kalman filter SSLKF based on a frequency-locked loop FLL to calculate the voltage fundamental components v fa and v fb :
其中,ω为常数,vin为电源电压vsabc,k1、k2为卡尔曼参数,图2为基于SSLKF的FLL滤波器的框图。Among them, ω is a constant, v in is the power supply voltage v sabc , k 1 and k 2 are Kalman parameters, and FIG. 2 is a block diagram of the SSLKF-based FLL filter.
对于阻尼因子和卡尔曼参数(k1、k2)的不同组合,SSLKF的同相信号Vfa相对于电源电压Vin的伯德图如图3所示。For different combinations of damping factors and Kalman parameters (k 1 , k 2 ), the Bode plots of the in-phase signal V fa of the SSLKF versus the supply voltage V in are shown in Figure 3 .
从图3可以得出结论,SSLKF-FLL产生了相对较小的直流偏移和更好的谐波抑制能力。这些特性可归因于SSLKF-FLL的第二控制增益(β轴增益)。因此,它的动态响应和阻尼都比SOGI-FLL要大。From Figure 3 it can be concluded that SSLKF-FLL produces relatively small DC offset and better harmonic rejection. These properties can be attributed to the second control gain (beta axis gain) of the SSLKF-FLL. Therefore, it has greater dynamic response and damping than SOGI-FLL.
步骤3:结合图4,根据步骤2中生成的电压基波分量,生成UPQC参考信号对UPQC进行控制,触发补偿器生成补偿电流与补偿电压,具体为:Step 3: Combined with Figure 4, according to the voltage fundamental wave component generated in
步骤3-1:利用电压基波分量vfa和vfb以及通过正交变换得到的正交分量qvfa和qvfb计算:Step 3-1: Calculate using the fundamental voltage components v fa and v fb and the quadrature components qv fa and qv fb obtained by quadrature transformation:
步骤3-2:利用Clark变换矩阵的逆矩阵对基波正序电压和进行逆变换得到 Step 3-2: Use the inverse of the Clark transformation matrix to calculate the fundamental positive sequence voltage and Inverse transform to get
步骤3-3:计算参考直流链路电压和实际测得的直流电压VDC的差值得到vde,其差值经过PI控制器得到功率损耗分量Ploss,计算公式为:Step 3-3: Calculate the reference DC link voltage The difference between the actual measured DC voltage V DC is v de , and the difference is obtained through the PI controller to obtain the power loss component P loss , and the calculation formula is:
Ploss(t)=Ploss(t-1)+kp{vde(t)-vde(t-1)}P loss (t)=P loss (t-1)+k p {v de (t)-v de (t-1)}
其中,功率Ploss(t)为t时刻供电电流的有功功率,Ploss不仅包含了所有的开关损耗,还包含了UPQC装置的损耗,kp为下垂控制系数,vde(t)为t时刻参考直流链路电压和实际测得的直流电压VDC的差值;Among them, the power P loss (t) is the active power of the supply current at time t, P loss not only includes all switching losses, but also the loss of the UPQC device, kp is the droop control coefficient, and vd e (t) is the reference at time t. DC link voltage The difference between the actual measured DC voltage V DC ;
对负载电压Vlabc和负载电流ilabc作点积处理,得到平均负载功率Plavg,则参考功率Pref表示为:Do the dot product processing of the load voltage V labc and the load current i labc to obtain the average load power P lavg , then the reference power P ref is expressed as:
Pref=Plavg+Ploss P ref =P lavg +P loss
步骤3-4:生成补偿电流,具体为:Step 3-4: Generate compensation current, specifically:
步骤3-4-1:计算参考电流 Step 3-4-1: Calculate the reference current
其中,为实际测得的平衡正序参考电网输入电压;in, is the actual measured balanced positive sequence reference grid input voltage;
步骤3-4-2:将参考电流与侧到的实际电流isabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电流控制信号控制并联补偿器中VSC换流器开关的关断;从而完成补偿;Step 3-4-2: Insert the reference current After doing the difference operation with the actual current i sabc from the side, the difference signal is sent to the SPWM pulse trigger, and the compensation current control signal is generated in the pulse trigger to control the turn-off of the VSC converter switch in the parallel compensator. ; to complete the compensation;
步骤3-5:生成补偿电压,具体为:Step 3-5: Generate compensation voltage, specifically:
步骤3-5-1:计算参考负载电压 Step 3-5-1: Calculate the reference load voltage
其中,为设定的峰值参考电压,为单元模板;in, is the set peak reference voltage, is the unit template;
步骤3-5-2:将参考负载电压与侧到的实际负载电压vlabc做差运算后,将其差值信号送入到SPWM脉冲触发器中,在脉冲触发器中生成补偿电压控制信号控制串联补偿器中VSC换流器开关的关断,从而生成完成补偿。Step 3-5-2: Set the reference load voltage After doing the difference operation with the actual load voltage v labc on the side, the difference signal is sent to the SPWM pulse trigger, and the compensation voltage control signal is generated in the pulse trigger to control the closing of the VSC converter switch in the series compensator. is interrupted, thereby generating a complete compensation.
在UPQC系统上对所提出的基于SSLKF的FLL控制算法进行了仿真验证,利用Matlab/Simulink软件平台对该模型进行分析,采样时间为10μs,通过5个ode求解器得到离散域。下表是系统参数和三相UPQC详细设计值参数:The proposed FLL control algorithm based on SSLKF is simulated and verified on the UPQC system, and the model is analyzed by using the Matlab/Simulink software platform. The sampling time is 10μs, and the discrete domain is obtained by 5 ode solvers. The following table is the system parameters and three-phase UPQC detailed design value parameters:
(1)基于动态特性的SSLKF-FLL控制及并联变换器在UPQC中的应用(1) Application of SSLKF-FLL control and parallel converter in UPQC based on dynamic characteristics
UPQC在不平衡负载和电流畸变下的动态行为如图5所示,并联型补偿器的补偿电流icoma、icomb、icomc如图5所示,表明对电源电流的无功补偿是有序的,直流母线电压在3%公差允许范围内,直流电压适应其700伏的电压水平,不受16伏电压波动的影响。The dynamic behavior of UPQC under unbalanced load and current distortion is shown in Figure 5, and the compensation currents i coma , i comb , and i comc of the parallel compensator are shown in Figure 5, indicating that the reactive power compensation for the power supply current is orderly Yes, the DC bus voltage is within the allowable range of 3% tolerance, the DC voltage adapts to its 700 volt voltage level and is not affected by 16 volt voltage fluctuations.
由于在直流环节电压和有功平均功率计算中使用低阶滤波器,波形中存在一个周期的不可察觉的偏移。无论负载不平衡情况如何,负载电压v1曲线均保持在其期望水平。Due to the use of low-order filters in the DC link voltage and active average power calculations, there is an imperceptible shift of one cycle in the waveform. The load voltage v1 curve remains at its desired level regardless of the load imbalance.
波形表明,由于并联型补偿器注入电流的存在,三相电源电流is几乎与参考电源电流一致;同样,电源电压vs、负载电压v1和电源电流is彼此同相。由此可知,UPQC的并联补偿器在负载动态过程中起到功率因数校正的作用。The waveforms show that the three-phase supply current i s is almost the same as the reference supply current due to the presence of the current injected by the shunt-type compensator Consistent; likewise, the supply voltage v s , the load voltage v 1 and the supply current is are in phase with each other. It can be seen that the parallel compensator of UPQC plays the role of power factor correction in the dynamic process of the load.
结果表明,“c相”负荷从0.5秒开始连接,并显示了各相补偿电流icoma、icomb、icomc的变化。此时,可以看到并联型补偿器在不平衡负载条件之前和之后,在所有三相中都提供了具有所需幅度的必要补偿电流,以维持正弦曲线的供应电流。The results show that the "c-phase" load is connected from 0.5 seconds, and the changes of each phase compensation current i coma , i comb , i comc are shown. At this point, it can be seen that the shunt type compensator provides the necessary compensation current in all three phases with the required magnitude to maintain the sinusoidal supply current before and after the unbalanced load condition.
(2)采用SSLKF-FLL方法的UPQC稳态和动态响应(2) Steady-state and dynamic responses of UPQC using SSLKF-FLL method
采用SSLKF-FLL控制的UPQC稳态和动态响应如图6所示,图中波形为三相电源电压vs、电源电流is、负载电压vl、负载电流il、直流电压VDC、串联补偿器补偿电压vinja、vinjb、vinjc、并联补偿器补偿电流icoma、icomb、icomc。The steady-state and dynamic responses of UPQC controlled by SSLKF -FLL are shown in Figure 6. The waveforms in the figure are the three-phase supply voltage vs, supply current is, load voltage v l , load current i l , DC voltage V DC , series connection Compensator compensation voltages v inja , v injb , v injc , parallel compensator compensation currents i coma , i comb , i comc .
在0.5-0.56s之间,可以看到0.70p.u量级的电压凹陷;在0.6-0.66s的电压膨胀为1.30p.u幅度;在0.5-0.56s时,施加在电源电压vs上的电源电压从-11次谐波到+13次谐波,振幅为基本电压的1/15和1/20;Between 0.5-0.56s, a voltage sag of the order of 0.70pu can be seen; at 0.6-0.66s, the voltage expands to a magnitude of 1.30pu; at 0.5-0.56s, the supply voltage applied to the supply voltage v s changes from -11th harmonic to +13th harmonic with
在0.5-0.6秒时,当“c相”从供电线路上断开时,负载从三相调整为两相,这导致了网络中的不平衡负载状态。从结果来看,UPQC的并联补偿器部分对不平衡负载进行了补偿,它平衡正弦电源电流is并使其与电源电压vs同相;At 0.5-0.6 seconds, when "c-phase" is disconnected from the supply line, the load is adjusted from three-phase to two-phase, which results in an unbalanced load condition in the network. From the results, the unbalanced load is compensated by the parallel compensator part of the UPQC , it balances the sinusoidal supply current is and makes it in phase with the supply voltage vs ;
UPQC系列补偿器作为电压凹陷/膨胀和畸变的补偿,并产生无畸变负载电压vl,如图6所示。它还可以补偿来自所有PQ扰动的负载电压vl问题,并与期望的幅值保持相等。因此,它在负载侧公共耦合点保持恒定电压。同时,并联补偿器维持了均衡的供电电流,统一调节了功率因数。SSLKF-FLL控制算法在上述PQ扰动下保持直流侧电压接近参考水平。电源电压vs,电源电流is,负载电压vl和负载电流il的谐波频谱如下表所示:The UPQC series compensator acts as compensation for voltage sag/swell and distortion, and produces a distortion-free load voltage v l , as shown in Figure 6. It also compensates for load voltage vl issues from all PQ disturbances and remains equal to the desired magnitude. Therefore, it maintains a constant voltage at the point of common coupling on the load side. At the same time, the parallel compensator maintains a balanced supply current and uniformly adjusts the power factor. The SSLKF-FLL control algorithm keeps the DC link voltage close to the reference level under the above-mentioned PQ disturbance. The harmonic spectrum of supply voltage v s , supply current is , load voltage v l and load current i l is shown in the table below:
谐波负载的总谐波失真度(THD)为总谐波负载的63.83%。同样,负载电压的THD为3.16%,也从16.85%的电源电压THD中滤除。根据UPQC系统SSLKF-FLL控制的IEEE标准,可将谐波水平限制在5%以下。The total harmonic distortion (THD) of the harmonic load is 63.83% of the total harmonic load. Likewise, the THD of the load voltage is 3.16%, also filtered from the THD of the supply voltage of 16.85%. Harmonic levels can be limited to less than 5% according to the IEEE standard for SSLKF-FLL control of the UPQC system.
由上可知,本发明可以改善电网在非线性负载下的电能质量,提高电网的稳定性和鲁棒性,增强UPQC系统的控制效果和动态响应性能。It can be seen from the above that the present invention can improve the power quality of the power grid under nonlinear load, improve the stability and robustness of the power grid, and enhance the control effect and dynamic response performance of the UPQC system.
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