CN104993494B - Motor simulator based on four-quadrant power electronic converter and method - Google Patents
Motor simulator based on four-quadrant power electronic converter and method Download PDFInfo
- Publication number
- CN104993494B CN104993494B CN201510269047.2A CN201510269047A CN104993494B CN 104993494 B CN104993494 B CN 104993494B CN 201510269047 A CN201510269047 A CN 201510269047A CN 104993494 B CN104993494 B CN 104993494B
- Authority
- CN
- China
- Prior art keywords
- power
- voltage
- power cell
- input
- current
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000000034 method Methods 0.000 title claims abstract description 22
- 230000001360 synchronised effect Effects 0.000 claims abstract description 15
- 238000004088 simulation Methods 0.000 claims abstract description 14
- 238000012360 testing method Methods 0.000 claims abstract description 5
- 238000004804 winding Methods 0.000 claims description 31
- 239000003990 capacitor Substances 0.000 claims description 27
- 238000003860 storage Methods 0.000 claims description 10
- 238000012935 Averaging Methods 0.000 claims description 4
- 230000003252 repetitive effect Effects 0.000 claims description 4
- 230000002441 reversible effect Effects 0.000 claims description 3
- 239000004065 semiconductor Substances 0.000 claims description 2
- 230000005611 electricity Effects 0.000 claims 2
- 230000010354 integration Effects 0.000 claims 2
- 238000006243 chemical reaction Methods 0.000 claims 1
- 230000001105 regulatory effect Effects 0.000 claims 1
- 230000004044 response Effects 0.000 abstract description 3
- 238000004146 energy storage Methods 0.000 description 18
- 238000010586 diagram Methods 0.000 description 7
- 238000004364 calculation method Methods 0.000 description 6
- 230000001939 inductive effect Effects 0.000 description 6
- 230000009466 transformation Effects 0.000 description 5
- 238000004422 calculation algorithm Methods 0.000 description 2
- 230000006870 function Effects 0.000 description 2
- 230000007935 neutral effect Effects 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 1
- 230000002238 attenuated effect Effects 0.000 description 1
- 238000011217 control strategy Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 238000009776 industrial production Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
Classifications
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/30—Reactive power compensation
Landscapes
- Inverter Devices (AREA)
Abstract
本发明提供一种基于四象限电力电子变流器的电机模拟装置及方法,装置包括输入开关、输入变压器、连接电抗、功率单元、输出电抗及输出开关,通过在功率单元的整流侧加调制波来使功率单元的电压趋于稳定,通过控制四象限电力电子变流器输出端的电压电流,来改变四象限电力电子变流器发出或吸收有功或无功功率,从而模拟同步发电机、异步发电机、同步电动机、异步电动机的运行特性。在发电机特性时,变流器可为负载提供电源,也可为负载提供试验源以检测负载特性,还可调节电网无功功率等;在电动机特性时,变流器作为负载,可为待考核电源提供负载以检测电源特性,亦可作为负载调节电网功率平衡等,控制方便,响应及时。
The invention provides a motor simulation device and method based on a four-quadrant power electronic converter. The device includes an input switch, an input transformer, a connecting reactance, a power unit, an output reactance and an output switch. To make the voltage of the power unit tend to be stable, by controlling the voltage and current at the output end of the four-quadrant power electronic converter, the four-quadrant power electronic converter can change the active or reactive power emitted or absorbed, thereby simulating synchronous generators and asynchronous power generators Machine, synchronous motor, asynchronous motor operating characteristics. In the case of generator characteristics, the converter can provide power for the load, and can also provide a test source for the load to detect the load characteristics, and can also adjust the reactive power of the grid, etc.; The assessment power supply provides a load to detect the characteristics of the power supply, and can also be used as a load to adjust the power balance of the power grid, etc., with convenient control and timely response.
Description
技术领域technical field
本发明涉及电力电子技术领域,尤其涉及一种基于四象限电力电子变流器的电机模拟装置及方法。The invention relates to the technical field of power electronics, in particular to a motor simulation device and method based on a four-quadrant power electronic converter.
背景技术Background technique
电机在工业生产和研究试验中有着至关重要的作用。同步发电机、异步发电机可以发出有功功率和感性、容性无功功率,因此可以为负载供电或对电网进行有功、无功调节。同步电动机、异步电动机可以吸收有功功率和感性、容性无功功率,因此可以作为负载或对电网进行有功、无功调节。Motors play a vital role in industrial production and research experiments. Synchronous generators and asynchronous generators can generate active power and inductive and capacitive reactive power, so they can supply power to loads or adjust active and reactive power to the grid. Synchronous motors and asynchronous motors can absorb active power and inductive and capacitive reactive power, so they can be used as loads or to regulate active and reactive power on the grid.
由于传统电机的惯性大、响应慢且功能具有局限性,对电机的控制较复杂,因此,用电力电子装置模拟电机特性得到青睐。申请号为201410157692.0的中国发明专利公开了《一种基于虚拟同步发电机的微网微源控制方法》,该专利利用电力电子来模拟同步发电机的特性,可以模拟同步发电机对微网进行有功调节和无功调节,同时还可实现微网不同运行模式下的切换,但是该方法只能模拟同步发电机的运行特性,具有一定的局限性。Due to the large inertia, slow response and limited functions of the traditional motor, the control of the motor is more complicated. Therefore, the use of power electronic devices to simulate the characteristics of the motor is favored. The Chinese invention patent with the application number 201410157692.0 discloses "A Microgrid and Microsource Control Method Based on Virtual Synchronous Generator". At the same time, it can also realize the switching of different operating modes of the microgrid, but this method can only simulate the operating characteristics of synchronous generators, which has certain limitations.
发明内容Contents of the invention
本发明的目的在于提供一种基于四象限电力电子变流器的电机模拟装置及方法,既可以模拟同步发电机、异步发电机的特性,还可以模拟同步电动机、异步电动机的特性。The purpose of the present invention is to provide a motor simulation device and method based on a four-quadrant power electronic converter, which can not only simulate the characteristics of synchronous generators and asynchronous generators, but also simulate the characteristics of synchronous motors and asynchronous motors.
为实现上述目的,本发明采用如下技术方案:To achieve the above object, the present invention adopts the following technical solutions:
一种基于四象限电力电子变流器的电机模拟装置,包括输入开关、输入变压器、连接电抗、功率单元、输出电抗、输出开关及第一控制系统,所述输入变压器采用三个单相变压器串联结构,原边采用三角形接法,副边采用多副边绕组结构,每个副边绕组均依次连接连接电抗及单个功率单元,每个副边绕组上的单个功率单元之间采用级联形式连接起来,组成单相功率单元,功率单元由三个单相功率单元组成,三个单相功率单元的输出端均分别通过输出电抗及输出开关与电网或待测设备相连,功率单元的输出端采用带中线的星型接法,第一控制系统控制连接功率单元的逆变侧,用于形成调制波对功率单元的逆变侧进行调制;A motor simulation device based on a four-quadrant power electronic converter, including an input switch, an input transformer, a connection reactance, a power unit, an output reactance, an output switch and a first control system, and the input transformer adopts three single-phase transformers connected in series Structure, the primary side adopts delta connection method, the secondary side adopts multi-secondary winding structure, each secondary winding is connected to the reactance and a single power unit in turn, and the single power units on each secondary winding are connected in cascade form Stand up to form a single-phase power unit, the power unit is composed of three single-phase power units, the output terminals of the three single-phase power units are respectively connected to the power grid or the equipment under test through the output reactance and the output switch, the output of the power unit adopts In the star connection method with a neutral line, the first control system controls the inverter side connected to the power unit, and is used to form a modulation wave to modulate the inverter side of the power unit;
所述第一控制系统在形成调制波时,先对功率单元逆变侧有功功率的参考值和实际值的差值进行PI控制,同时第一控制系统还对功率单元逆变侧无功功率的参考值和实际值的差值进行PI控制,将有功功率和无功功率的PI控制结果进行坐标变换,得到功率单元逆变侧的电流参考值,第一控制系统再将此参考值与功率单元逆变侧电流实际值之差进行重复学习控制,得到电压调制信号,然后第一控制系统将变流器输出端的输出电压及超前于输出端电压90°的调制电压相加,得到电压前馈控制信号,最后,第一控制系统将此电压前馈控制信号与电压调制信号相加,得到功率单元逆变侧的调制波,将此调制波加在功率单元的逆变侧,即可对功率单元的逆变侧进行调制,从而调节装置输出电压和输出电流的相位。When forming the modulated wave, the first control system first performs PI control on the difference between the reference value and the actual value of the active power on the inverter side of the power unit, and at the same time, the first control system also controls the reactive power on the inverter side of the power unit. The difference between the reference value and the actual value is controlled by PI, and the coordinates of the PI control results of active power and reactive power are transformed to obtain the current reference value on the inverter side of the power unit. The first control system then compares this reference value with the power unit The difference between the actual value of the inverter side current is repeatedly learned and controlled to obtain a voltage modulation signal, and then the first control system adds the output voltage at the output end of the converter and the modulation voltage 90° ahead of the output end voltage to obtain voltage feedforward control signal. Finally, the first control system adds the voltage feedforward control signal to the voltage modulation signal to obtain the modulated wave on the inverter side of the power unit. Adding this modulated wave to the inverter side of the power unit can control the power unit The inverter side of the device is modulated to adjust the phase of the output voltage and output current of the device.
所述每个副边绕组上的单个功率单元采用两个H桥背靠背连接方式,左侧H桥为整流侧,右侧H桥为逆变侧,H桥采用全控半导体器件,且均并联有反向续流二极管,在两个H桥之间并联有储能电容。The single power unit on each secondary winding adopts two H-bridge back-to-back connections, the left H-bridge is the rectifier side, the right H-bridge is the inverter side, and the H-bridge uses a fully-controlled semiconductor device, and all of them are connected in parallel with A reverse freewheeling diode, with an energy storage capacitor connected in parallel between the two H bridges.
所述的每个副边绕组上的单个功率单元之间采用级联形式连接起来,级联个数由待模拟电机的电压等级确定,每相的单个功率单元的逆变侧采用载波移相正弦波脉宽调制方式进行控制。The individual power units on each of the secondary windings are connected in cascaded form, the number of cascades is determined by the voltage level of the motor to be simulated, and the inverter side of the single power unit of each phase adopts carrier phase-shifted sine controlled by pulse width modulation.
还包括第二控制系统,第二控制系统控制连接功率单元的整流侧,用来形成调制波对功率单元整流侧进行调制,在形成调制波时,第二控制系统通过先将采集到的储能电容两端的电压进行滑窗求平均,得到一个周期的平均值之后,再将此平均值和储能电容两端的额定电压之差进行PI控制,第二控制系统再将PI控制的输出信号与电压互感器采集到的输入变压器副边绕组的电压相乘后,得到功率单元输入电流的参考值,然后,第二控制系统将此参考值与电流互感器采集到的功率单元输入电流的测量值之差进行P控制,得到调制信号,接着,第二控制系统将输入变压器副边绕组的电压进行P控制后得到前馈控制信号,最后,第二控制系统将调制信号与前馈控制信号相加,即可得到功率单元整流侧的调制波,将此调制波加在功率单元的整流侧,即可对功率单元的整流侧进行调制,使储能电容上具有稳定的电压。It also includes a second control system. The second control system controls the rectification side connected to the power unit, and is used to form a modulation wave to modulate the rectification side of the power unit. When forming a modulation wave, the second control system first converts the collected energy storage The voltage at both ends of the capacitor is averaged by a sliding window. After obtaining the average value of a period, the difference between the average value and the rated voltage at both ends of the energy storage capacitor is controlled by PI. The second control system then compares the output signal of the PI control with the voltage The voltage of the input transformer secondary winding collected by the transformer is multiplied to obtain the reference value of the input current of the power unit, and then the second control system compares the reference value with the measured value of the input current of the power unit collected by the current transformer Then, the second control system performs P control on the voltage input to the secondary winding of the transformer to obtain a feedforward control signal. Finally, the second control system adds the modulation signal to the feedforward control signal. The modulation wave on the rectification side of the power unit can be obtained, and the modulation wave can be added to the rectification side of the power unit to modulate the rectification side of the power unit, so that the energy storage capacitor has a stable voltage.
一种基于四象限电力电子变流器的电机模拟方法,依次包括以下步骤A motor simulation method based on a four-quadrant power electronic converter, comprising the following steps in sequence
(1)先闭合输入开关,输入变压器投入工作,储能电容开始充电;(1) The input switch is closed first, the input transformer is put into operation, and the energy storage capacitor starts charging;
(2)选择所需的电压Uref、电流Iref、相角θref,计算出有功功率参考值Pref、无功功率参考值Qref,其中,Pref=UrefIrefcosθref,Qref=UrefIrefsinθref,下标ref表示电网;(2) Select the required voltage U ref , current I ref , and phase angle θ ref to calculate active power reference value P ref and reactive power reference value Q ref , where, P ref = U ref I ref cosθ ref , Q ref = U ref I ref sinθ ref , the subscript ref represents the grid;
(3)利用功率传感器采集功率单元逆变侧的有功功率P和无功功率Q,将计算出的有功功率参考值Pref与测量到功率单元逆变侧的的有功功率P的差值输入第一PI控制器,将计算出的无功功率参考值Qref与测量到功率单元逆变侧的的无功功率Q的差值输入进行输入第二PI控制器,经过PI控制之后的有功功率和无功功率经过坐标变换后得到功率单元逆变侧的电流参考值i*;第一PI控制器的计算公式为第二PI控制器的计算公式为其中,kp3、kp4均为比例系数,ki3、ki4均为积分系数,下标p表示比例,下标i表示积分;(3) Use the power sensor to collect the active power P and reactive power Q on the inverter side of the power unit, and input the difference between the calculated active power reference value P ref and the measured active power P on the inverter side of the power unit into the first A PI controller, which inputs the difference between the calculated reactive power reference value Q ref and the reactive power Q measured on the inverter side of the power unit into the second PI controller, and the active power and After coordinate transformation of the reactive power, the current reference value i * on the inverter side of the power unit is obtained; the calculation formula of the first PI controller is The calculation formula of the second PI controller is Among them, k p3 and k p4 are proportional coefficients, k i3 and k i4 are integral coefficients, the subscript p represents the proportion, and the subscript i represents the integral;
(4)利用电流互感器采集功率单元逆变侧的电流实际值is,将步骤(3)得到的功率单元逆变侧的电流参考值i*与功率单元逆变侧的电流实际值is的差值进行重复学习控制,得到调制信号Vm1;(4) Use the current transformer to collect the actual current value i s of the inverter side of the power unit, and compare the current reference value i * of the inverter side of the power unit obtained in step (3) with the actual current value i s of the inverter side of the power unit Repeated learning control to obtain the modulation signal V m1 ;
(5)利用电压互感器采集装置输出端电压us,将电压us乘以比例系数kp5后得到与输出电压同相位的分量kp5us,电压us⊥乘以比例系数kp6后得到超前于输出电压90°的分量kp6us⊥,kp5us与kp6us⊥相加后,得到前馈控制信号Vm2,将调制信号Vm1与前馈控制信号Vm2相加后,得到单个功率单元逆变侧的调制波Vm,电压us⊥为超前于装置输出端电压90°的电压,下标p表示比例;(5) Use the voltage transformer to collect the output terminal voltage u s of the device, multiply the voltage u s by the proportional coefficient k p5 to obtain the component k p5 u s in phase with the output voltage, and multiply the voltage u s⊥ by the proportional coefficient k p6 Get the component k p6 u s⊥ that is 90° ahead of the output voltage. After k p5 u s is added to k p6 u s⊥ , the feedforward control signal V m2 is obtained, and the modulation signal V m1 is compared with the feedforward control signal V m2 After adding, the modulation wave V m on the inverter side of the single power unit is obtained, the voltage u s⊥ is the voltage 90° ahead of the output terminal voltage of the device, and the subscript p represents the ratio;
(6)将步骤(5)得到的单个功率单元逆变侧的调制波Vm依次错开180/N,N为每相功率单元的个数,即可得到各个功率单元的调制波;(6) The modulated wave V m of the single power unit inverter side obtained in step (5) is sequentially staggered by 180/N, and N is the number of power units of each phase, so that the modulated wave of each power unit can be obtained;
(7)将步骤(6)得到的各个功率单元的调制波依次加在功率单元的逆变侧,对功率单元的逆变侧进行控制,从而调节装置输出电压和输出功率的相位。(7) Add the modulated waves of each power unit obtained in step (6) to the inverter side of the power unit in turn, and control the inverter side of the power unit, thereby adjusting the phase of the output voltage and output power of the device.
还包括步骤(8)至步骤(13),具体为:Also include step (8) to step (13), specifically:
(8)利用电压互感器采集储能电容两端的电压,记为udc,将其滑窗求平均得到一个周期的平均值下标dc表示直流;(8) Use a voltage transformer to collect the voltage at both ends of the energy storage capacitor, denoted as u dc , average the sliding window to obtain the average value of a cycle The subscript dc means direct current;
(9)将步骤(8)得到的平均值与储能电容两端电压的参考值的差值Δudc输入第三PI控制器,得到信号ΔI,参考值的大小等于储能电容的额定电压;第三PI控制器的计算公式为其中,kp为比例系数,p表示比例,ki为积分系数,i表示积分,s表示拉普拉斯变换;(9) The average value obtained in step (8) and the reference value of the voltage across the storage capacitor The difference Δu dc is input to the third PI controller to obtain the signal ΔI, the reference value The magnitude of is equal to the rated voltage of the energy storage capacitor; the calculation formula of the third PI controller is Among them, k p is the proportional coefficient, p represents the proportion, k i is the integral coefficient, i represents the integral, and s represents the Laplace transform;
(10)利用电压互感器采集输入变压器副边绕组的电压us1,将步骤(9)得到的信号ΔI与输入变压器副边绕组电压us1相乘后得到功率单元输入电流的参考值下标s1表示变压器副边,下标s表示变压器;(10) Use the voltage transformer to collect the voltage u s1 of the secondary winding of the input transformer, multiply the signal ΔI obtained in step (9) by the voltage u s1 of the secondary winding of the input transformer, and obtain the reference value of the input current of the power unit The subscript s1 indicates the secondary side of the transformer, and the subscript s indicates the transformer;
(11)利用电流互感器采集功率单元的输入电流is,将功率单元输入电流的参考值与功率单元输入电流的测量值is的差值Δis输入第一P控制器,乘以比例系数kp1后,得到电压调制信号um1,其中,下标p表示比例;(11) Use the current transformer to collect the input current i s of the power unit, and set the reference value of the input current of the power unit The difference Δi s from the measured value i s of the input current of the power unit is input to the first P controller, and multiplied by the proportional coefficient k p1 to obtain the voltage modulation signal u m1 , where the subscript p represents the proportion;
(12)将采集到的输入变压器副边绕组的电压us1输入第二P控制器,乘以比例系数kp2后,得到电压前馈控制信号um2,将电压调制信号um1与电压前馈控制信号um2相加,得到功率单元整流侧的调制波um,其中,下标s1表示变压器副边,下标s表示变压器,下标p表示比例;(12) Input the collected voltage u s1 of the secondary winding of the input transformer into the second P controller, multiply it by the proportional coefficient k p2 , and obtain the voltage feedforward control signal u m2 , and combine the voltage modulation signal u m1 with the voltage feedforward The control signal u m2 is added to obtain the modulated wave u m on the rectification side of the power unit, where the subscript s1 represents the secondary side of the transformer, the subscript s represents the transformer, and the subscript p represents the ratio;
(13)将步骤(12)得到的调制波um加在功率单元的整流侧,使储能电容上具有稳定的电压。(13) Apply the modulated wave u m obtained in step (12) to the rectification side of the power unit, so that the energy storage capacitor has a stable voltage.
本发明可以同时模拟同步发电机、同步电动机、异步发电机、异步电动机的特性。The invention can simultaneously simulate the characteristics of synchronous generators, synchronous motors, asynchronous generators and asynchronous motors.
当电流超前电压0~90°时,变流器发出有功功率功率和容性无功;当电流滞后电压0~90°时,变流器发出有功功率和感性无功功率,此时变流器模拟同步或异步发电机特性。When the current leads the voltage by 0-90°, the converter generates active power and capacitive reactive power; when the current lags the voltage by 0-90°, the converter generates active power and inductive reactive power. Simulate synchronous or asynchronous generator characteristics.
当电流超前电压90~180°时,变流器吸收有功功率和感性无功功率;当电流滞后电压90~180°时,变流器吸收有功功率和容性无功功率,此时变流器模拟同步或异步电动机特性。When the current leads the voltage by 90-180°, the converter absorbs active power and inductive reactive power; when the current lags the voltage by 90-180°, the converter absorbs active power and capacitive reactive power. Simulate synchronous or asynchronous motor characteristics.
在发电机特性时,变流器可为负载提供电源,也可为负载提供试验源以检测负载特性,还可调节电网无功功率等;在电动机特性时,变流器作为负载,可为待考核电源提供负载以检测电源特性,亦可作为负载调节电网功率平衡等;同时本发明采用四象限电力电子变流器模拟电机,控制方便,响应及时。In the case of generator characteristics, the converter can provide power for the load, and can also provide a test source for the load to detect the load characteristics, and can also adjust the reactive power of the grid, etc.; The assessment power supply provides a load to detect the characteristics of the power supply, and can also be used as a load to adjust the power balance of the power grid. At the same time, the present invention uses a four-quadrant power electronic converter to simulate a motor, which is convenient for control and timely in response.
附图说明Description of drawings
图1为本发明所述的基于四象限电力电子变流器的电机模拟装置拓扑结构图;Fig. 1 is a topological structure diagram of a motor simulation device based on a four-quadrant power electronic converter according to the present invention;
图2为图1所示装置中功率单元的电路图;Fig. 2 is the circuit diagram of the power unit in the device shown in Fig. 1;
图3为图1所示装置中单相电力电子变流器的拓扑结构示意图;Fig. 3 is a schematic diagram of the topology of the single-phase power electronic converter in the device shown in Fig. 1;
图4为图2所示功率单元整流侧调制波生成算法框图;Fig. 4 is a block diagram of the modulation wave generation algorithm on the rectification side of the power unit shown in Fig. 2;
图5为变流器并网时功率单元逆变侧调制波生成算法框图;Figure 5 is a block diagram of the modulation wave generation algorithm on the inverter side of the power unit when the converter is connected to the grid;
图6为图3所示单相输出端电压电流向量图。FIG. 6 is a vector diagram of voltage and current at the single-phase output terminal shown in FIG. 3 .
具体实施方式detailed description
如图1至图3所示,本发明所述的基于四象限电力电子变流器的电机模拟装置包括输入开关101、输入变压器102、连接电抗103、功率单元104、输出电抗105、输出开关106、第一控制系统和第二控制系统,输入变压器102采用三个单相变压器串联的结构,原边采用三角形接法,副边采用多副边绕组结构,每个副边绕组均分别连接连接电抗103及单个功率单元,每个副边绕组上的单个功率单元之间采用级联形式连接起来,组成单相功率单元,级联个数由待模拟系统的电压等级确定,每个副边绕组上的单个功率单元之间采用载波移相正弦波脉宽调制(CPS-SPWM)方式进行控制,功率单元104由三个单相功率单元组成,三个单相功率单元的输出端均分别通过输出电抗105及输出开关106与电网或待测设备相连,功率单元104的输出端采用带中线的星型接法。As shown in Figures 1 to 3, the motor simulation device based on a four-quadrant power electronic converter according to the present invention includes an input switch 101, an input transformer 102, a connection reactance 103, a power unit 104, an output reactance 105, and an output switch 106 , the first control system and the second control system, the input transformer 102 adopts the structure of three single-phase transformers connected in series, the primary side adopts the delta connection method, the secondary side adopts a multi-secondary winding structure, and each secondary winding is respectively connected to the connecting reactance 103 and a single power unit, the single power units on each secondary winding are connected in cascaded form to form a single-phase power unit, the number of cascading is determined by the voltage level of the system to be simulated, each secondary winding The single power unit is controlled by carrier phase-shifted sine wave pulse width modulation (CPS-SPWM). The power unit 104 is composed of three single-phase power units, and the output terminals of the three single-phase power units are respectively passed through the output reactance 105 and the output switch 106 are connected to the power grid or the equipment under test, and the output end of the power unit 104 adopts a star connection with a neutral line.
每个副边绕组上的单个功率单元均采用两个H桥背靠背连接方式,左侧H桥为整流侧,右侧H桥为逆变侧,储能电容C并联于两个H桥之间,G1,G2,G3,G4,G5,G6,G7,G8是并联有反向续流二极管的IGBT。The single power unit on each secondary winding adopts two H-bridge back-to-back connections, the left H-bridge is the rectifier side, the right H-bridge is the inverter side, and the energy storage capacitor C is connected in parallel between the two H-bridges. G1, G2, G3, G4, G5, G6, G7, and G8 are IGBTs connected in parallel with reverse freewheeling diodes.
第一控制系统控制连接功率单元104的逆变侧,用于形成调制波对功率单元104的逆变侧进行调制,第一控制系统在形成调制波时,先对功率单元104逆变侧有功功率的参考值和实际值的差值进行PI控制,同时第一控制系统还对功率单元104逆变侧无功功率的参考值和实际值的差值进行PI控制,将有功功率和无功功率的PI控制结果进行坐标变换,得到功率单元104逆变侧的电流参考值,第一控制系统再将此参考值与功率单元104逆变侧电流实际值之差进行重复学习控制,得到电压调制信号,然后第一控制系统将变流器输出端的输出电压及超前于输出端电压90°的调制电压相加,得到电压前馈控制信号,最后,第一控制系统将此电压前馈控制信号与电压调制信号相加,得到功率104单元逆变侧的调制波,将此调制波加在功率单元的逆变侧,即可对功率单元的逆变侧进行调制,从而调节装置输出电压进而输出电流的相位。The first control system controls and connects the inverter side of the power unit 104, and is used to form a modulation wave to modulate the inverter side of the power unit 104. When the first control system forms a modulation wave, it first controls the active power PI control is performed on the difference between the reference value and the actual value of the power unit 104. At the same time, the first control system also performs PI control on the difference between the reference value and the actual value of the reactive power on the inverter side of the power unit 104, and the active power and reactive power Coordinate transformation is performed on the PI control result to obtain the current reference value on the inverter side of the power unit 104, and the first control system performs repeated learning control on the difference between the reference value and the actual current value on the inverter side of the power unit 104 to obtain a voltage modulation signal, Then the first control system adds the output voltage at the output terminal of the converter and the modulation voltage 90° ahead of the output terminal voltage to obtain a voltage feedforward control signal. Finally, the first control system combines the voltage feedforward control signal with the voltage modulation Signals are added to obtain the modulation wave on the inverter side of the power 104 unit, and the modulation wave is added to the inverter side of the power unit to modulate the inverter side of the power unit, thereby adjusting the output voltage of the device and then the phase of the output current .
第二控制系统控制连接功率单元104的整流侧,用来形成调制波对功率单元104整流侧进行调制,在形成调制波时,第二控制系统通过先将采集到的储能电容C两端的电压进行滑窗求平均,得到一个周期的平均值之后,再将此平均值和储能电容C两端的额定电压之差进行PI控制,第二控制系统再将PI控制的输出信号与电压互感器采集到的输入变压器102副边绕组的电压相乘后,得到功率单元104输入电流的参考值,然后,第二控制系统将此参考值与电流互感器采集到的功率单元104输入电流的测量值之差进行P控制,得到调制信号,接着,第二控制系统将输入变压器102副边绕组的电压进行P控制后得到前馈控制信号,最后,第二控制系统将调制信号与前馈控制信号相加,即可得到功率单元104整流侧的调制波,将此调制波加在功率单元104的整流侧,即可对功率单元104的整流侧进行调制,使储能电容C上具有稳定的电压。The second control system controls the rectification side connected to the power unit 104 to form a modulation wave to modulate the rectification side of the power unit 104. When forming the modulation wave, the second control system first collects the voltage across the energy storage capacitor C Carry out sliding window averaging, after obtaining the average value of one cycle, then perform PI control on the difference between the average value and the rated voltage at both ends of the energy storage capacitor C, and the second control system will collect the output signal of PI control with the voltage transformer After multiplying the voltage of the secondary winding of the input transformer 102, the reference value of the input current of the power unit 104 is obtained, and then, the second control system compares this reference value with the measured value of the input current of the power unit 104 collected by the current transformer Then, the second control system performs P control on the voltage input to the secondary winding of the transformer 102 to obtain a feedforward control signal, and finally, the second control system adds the modulation signal to the feedforward control signal , the modulation wave on the rectification side of the power unit 104 can be obtained, and the modulation wave can be added to the rectification side of the power unit 104 to modulate the rectification side of the power unit 104 so that the energy storage capacitor C has a stable voltage.
如图4图5所示,本发明所述的基于四象限电力电子变流器的电机模拟方法依次包括以下步骤:As shown in Fig. 4 and Fig. 5, the motor simulation method based on the four-quadrant power electronic converter of the present invention includes the following steps in sequence:
(1)先闭合输入开关101,输入变压器102投入工作,储能电容C开始充电;(1) First close the input switch 101, the input transformer 102 is put into operation, and the energy storage capacitor C starts charging;
(2)利用电压互感器采集储能电容C两端的电压,记为udc,将其滑窗求平均得到一个周期的平均值其中下标dc表示直流;(2) Use a voltage transformer to collect the voltage at both ends of the energy storage capacitor C, denoted as u dc , average the sliding window to obtain the average value of a cycle The subscript dc means direct current;
储能电容两端的电压udc实际包含直流分量和交流分量,但交流分量的幅值较小且不易被控制,所以将对udc的控制转变为对其直流分量的控制,将udc滑窗求平均得到一个周期的平均值即直流分量滑窗求平均采用滑窗FFT分析法,为公知技术,在此不再赘述。The voltage u dc at both ends of the energy storage capacitor actually contains a dc component and an ac component, but the amplitude of the ac component is small and difficult to be controlled, so the control of u dc is transformed into its dc component The control of the u dc sliding window is averaged to obtain the average value of a cycle the DC component The sliding-window averaging adopts the sliding-window FFT analysis method, which is a well-known technique and will not be repeated here.
(3)将步骤(2)得到的平均值与储能电容C两端电压的参考值的差值Δudc输入第三PI控制器,得到信号ΔI,第三PI控制器的计算公式为其中,kp为比例系数,p表示比例,ki为积分系数,i表示积分,s表示拉普拉斯变换,参考值的大小等于储能电容C两端的额定电压,可通过查手册获得,Δudc可通过软件做差获得。(3) The average value obtained in step (2) and the reference value of the voltage across the energy storage capacitor C The difference Δu dc is input to the third PI controller to obtain the signal ΔI, the calculation formula of the third PI controller is Among them, k p is the proportional coefficient, p represents the proportion, k i is the integral coefficient, i represents the integral, s represents the Laplace transform, and the reference value The magnitude of Δu dc is equal to the rated voltage at both ends of the energy storage capacitor C, which can be obtained by checking the manual, and Δu dc can be obtained by making a difference through software.
(4)利用电压互感器采集输入变压器102副边绕组的电压us1,将步骤(3)得到的信号ΔI与输入变压器102副边绕组电压us1相乘后得到功率单元104输入电流的参考值其中下标s1表示输入变压器102副边,下标s表示输入变压器102,ΔI与输入变压器102副边绕组电压us1相乘通过软件实现。(4) Use a voltage transformer to collect the voltage u s1 of the secondary winding of the input transformer 102, and multiply the signal ΔI obtained in step (3) by the voltage u s1 of the secondary winding of the input transformer 102 to obtain a reference value of the input current of the power unit 104 The subscript s1 indicates the secondary side of the input transformer 102, the subscript s indicates the input transformer 102, and the multiplication of ΔI and the secondary winding voltage u s1 of the input transformer 102 is realized by software.
(5)利用电流互感器采集功率单元104的输入电流is,将功率单元104输入电流的参考值与功率单元104输入电流的测量值is的差值Δis输入第一P控制器,乘以比例系数kp1,得到电压调制信号um1,其中,下标p表示比例,下标p1仅为区分作用,并非变量,下标m、m1及s仅起到区分作用,并非变量,Δis通过软件做差获得。(5) Utilize the current transformer to collect the input current i s of the power unit 104, and input the reference value of the power unit 104 current The difference Δi s from the measured value i s of the input current of the power unit 104 is input to the first P controller, and multiplied by the proportional coefficient k p1 to obtain the voltage modulation signal u m1 , where the subscript p represents the ratio, and the subscript p1 is only Distinguishment is not a variable. The subscripts m, m1 and s only serve as a distinction, not a variable. Δi s is obtained through software difference.
(6)将采集到的输入变压器102副边绕组的电压us1输入第二P控制器,乘以比例系数kp2后,得到电压前馈控制信号um2,将步骤(5)得到的电压调制信号um1与电压前馈控制信号um2相加,得到功率单元104整流侧的调制波um,将此调制波um加在功率单元104的整流侧,使储能电容C上的电压保持稳定,其中,下标s1表示输入变压器102副边,下标s表示输入变压器102,下标m、m2均起到区分作用,并非变量,下标p表示比例,下标p2仅为区分作用,并非变量。(6) Input the collected voltage u s1 of the secondary winding of the input transformer 102 into the second P controller, multiply it by the proportional coefficient k p2 , obtain the voltage feedforward control signal u m2 , and modulate the voltage obtained in step (5) The signal u m1 is added to the voltage feed-forward control signal u m2 to obtain the modulation wave u m on the rectification side of the power unit 104, and this modulation wave u m is added to the rectification side of the power unit 104 to keep the voltage on the energy storage capacitor C Stable, wherein, the subscript s1 indicates the secondary side of the input transformer 102, the subscript s indicates the input transformer 102, the subscripts m and m2 both play a distinguishing role, and are not variables, the subscript p indicates a ratio, and the subscript p2 is only a distinguishing function. is not a variable.
(7)选择所需的电压Uref、电流Iref、相角θref,计算出有功功率参考值Pref、无功功率参考值Qref,其中,Pref=UrefIrefcosθref,Qref=UrefIrefsinθref,下标ref表示电网。(7) Select the required voltage U ref , current I ref , and phase angle θ ref , and calculate active power reference value P ref and reactive power reference value Q ref , where, P ref = U ref I ref cosθ ref , Q ref =U ref I ref sinθ ref , the subscript ref represents the grid.
本发明所述装置的输出侧连接在电网的某个位置,故电压Uref是确定的,电流Iref和相角θref则根据用户需要自行确定。The output side of the device of the present invention is connected to a certain position of the power grid, so the voltage U ref is determined, and the current I ref and phase angle θ ref are determined according to the needs of the user.
(8)利用功率传感器采集功率单元104逆变侧的有功功率P和无功功率Q,将计算出的有功功率参考值Pref与测量到功率单元104逆变侧的有功功率P的差值输入第一PI控制器,第一PI控制器的计算公式为将计算出的无功功率参考值Qref与测量到功率单元逆变侧的的无功功率Q的差值输入第二PI控制器,第二PI控制器的计算公式为经过PI控制之后的有功功率和无功功率经过dq-abc变换(即坐标变换)后得到功率单元逆变侧的电流参考值i*;(8) Utilize the power sensor to collect the active power P and reactive power Q on the inverter side of the power unit 104, and input the difference between the calculated active power reference value P ref and the measured active power P on the inverter side of the power unit 104 The first PI controller, the calculation formula of the first PI controller is Input the difference between the calculated reactive power reference value Q ref and the reactive power Q measured on the inverter side of the power unit into the second PI controller, and the calculation formula of the second PI controller is After the active power and reactive power after PI control are transformed through dq-abc (that is, coordinate transformation), the current reference value i * on the inverter side of the power unit is obtained;
kp3、kp4均为比例系数,ki3、ki4均为积分系数,下标p表示比例,下标i表示积分,下标p3、p4、i3、i4均仅为区分作用,并非变量;dq-abc变换,即坐标变换为公知技术,在此不再赘述。k p3 and k p4 are proportional coefficients, k i3 and k i4 are integral coefficients, subscript p means proportion, subscript i means integral, and subscripts p3, p4, i3, and i4 are only for distinction, not variables; The dq-abc transformation, that is, the coordinate transformation is a well-known technology, and will not be repeated here.
(9)利用电流互感器采集功率单元104逆变侧的电流实际值i,将步骤(8)得到的功率单元104逆变侧的电流参考值i*与功率单元104逆变侧的电流实际值i的差值进行重复学习控制,得到调制信号Vm1,下标m和m1仅起到区分作用,并非变量。(9) Use a current transformer to collect the current actual value i on the inverter side of the power unit 104, and compare the current reference value i * on the inverter side of the power unit 104 obtained in step (8) with the actual current value on the inverter side of the power unit 104 The difference of i is subjected to repeated learning control to obtain the modulated signal V m1 , and the subscripts m and m1 are only for distinguishing, not variables.
重复学习控制过程如图6中框图所示,图中kr为反馈比例系数,为保证一定的稳定裕度,本实施例中kr取0.8~2;kf为遗忘因子,通常取值小于1,本实施例中取值为0.95;ks为重复控制系数,当kr与kf取值确定后,ks取值影响系统稳定性,当ks=2时,系统处于临界稳定,因此ks取0~2,本实施例中ks取值为1~1.5,e-sT表示学习周期的延时算子,重复学习控制过程利用误差信号的周期性进行补偿,使系统的周期误差能够逐步衰减或消除,从而使得系统输出达到预期目标的控制策略。利用重复学习控制,能够在实现对指令电流准确跟踪的同时确保补偿的静态误差为零。在本发明中,利用上述重复学习控制过程,可以使电压调制信号Vm1达到预期值。The repeated learning control process is shown in the block diagram in Figure 6. In the figure, k r is the feedback proportional coefficient. In order to ensure a certain stability margin, k r is set to 0.8-2 in this embodiment; k f is the forgetting factor, which is usually less than 1. The value in this embodiment is 0.95; k s is the repetitive control coefficient. When the values of k r and k f are determined, the value of k s affects the stability of the system. When k s = 2, the system is in critical stability. Therefore, k s is 0-2. In this embodiment, k s is 1-1.5. e- sT represents the delay operator of the learning cycle. The repeated learning control process uses the periodicity of the error signal to compensate, so that the cycle of the system The error can be gradually attenuated or eliminated, so that the system output can reach the expected target control strategy. By using repetitive learning control, it is possible to ensure that the static error of compensation is zero while realizing accurate tracking of the command current. In the present invention, the voltage modulation signal V m1 can reach a desired value by using the above repeated learning control process.
(10)利用电压互感器采集装置输出端电压us,对于A相来说,即为图3中输出端AN两点之间的电压,将输出端电压us乘以比例系数kp5后得到与输出端电压us同相位的分量kp5us,电压us⊥乘以比例系数kp6后得到超前于输出电压90°的分量kp6us⊥,电压us⊥为超前于装置输出端电压90°的电压,可利用移相变压器获得,kp5us与kp6us⊥相加后,得到前馈控制信号Vm2,将步骤(9)得到的调制信号Vm1与前馈控制信号Vm2相加,得到单个功率单元逆变侧的调制波Vm,其中,下标p表示比例,下标p5、p6、m、m2、s均仅起到区分作用,并非变量。(10) Use the voltage transformer to collect the output terminal voltage u s of the device. For phase A, it is the voltage between the two points of the output terminal AN in Figure 3. Multiply the output terminal voltage u s by the proportional coefficient k p5 to get The component k p5 u s with the same phase as the output voltage u s , the voltage u s⊥ is multiplied by the proportional coefficient k p6 to get the component k p6 u s⊥ ahead of the output voltage by 90°, the voltage u s⊥ is ahead of the output of the device The voltage of the terminal voltage at 90° can be obtained by using a phase-shifting transformer. After adding k p5 u s and k p6 u s⊥ , the feed-forward control signal V m2 is obtained, and the modulation signal V m1 obtained in step (9) is combined with the feed-forward The control signal V m2 is added to obtain the modulated wave V m on the inverter side of a single power unit, where the subscript p represents the ratio, and the subscripts p5, p6, m, m2, and s are only used to distinguish, not variables.
单个功率单元采用级联形式,将上述单个功率单元逆变侧的调制波Vm依次错开180/N,N为每相功率单元的个数,即可得到各个功率单元的调制波。A single power unit is cascaded, and the modulated wave V m on the inverter side of the single power unit is staggered by 180/N in turn, where N is the number of power units in each phase, and the modulated wave of each power unit can be obtained.
(11)将步骤(10)得到的各个功率单元的调制波依次加在功率单元104的逆变侧,对功率单元104进行控制,从而调节输出电压和输出电流的相位。(11) Apply the modulated wave of each power unit obtained in step (10) to the inverter side of the power unit 104 in sequence, and control the power unit 104 to adjust the phase of the output voltage and output current.
本发明在工作时,上述步骤中得到的调制波分别加入功率单元的整流侧和逆变侧,分别测量输出端电压和电流的幅值及相位,如图6所示,为输出端电压、为输出端电流,θ为输出端电流超前输出端电压的角度,以输出端电压作为参考向量,当输出端电流在第一象限,即输出端电流相位超前输出端电压相位0~90°时,变流器发出有功功率和容性无功功率;当输出端电流在第IV象限,即输出端电流相位滞后输出端电压相位0~90°时,变流器发出有功功率和感性无功功率,以上两种情况下变流器模拟同步发电机和异步发电机的特性。When the present invention is working, the modulated waves obtained in the above steps are respectively added to the rectification side and the inverter side of the power unit, and the amplitude and phase of the output terminal voltage and current are measured respectively, as shown in Figure 6, is the output voltage, is the output current, θ is the output current Leading output voltage angle to the output terminal voltage As a reference vector, when the output current In the first quadrant, that is, when the phase of the current at the output terminal leads the phase of the voltage at the output terminal by 0° to 90°, the converter generates active power and capacitive reactive power; when the current at the output terminal In quadrant IV, that is, when the current phase at the output terminal lags behind the voltage phase at the output terminal by 0° to 90°, the converter generates active power and inductive reactive power. In the above two cases, the converter simulates the synchronous generator and the asynchronous generator characteristic.
当输出端电流在第II象限,即输出端电流相位超前输出端电压相位90~180°时,变流器吸收有功功率和感性无功率;当输出端电流在第III象限,即输出端电流相位滞后输出端电压相位90~180°时,变流器吸收有功功率和容性无功功率,以上两种情况下变流器模拟同步电动机和异步电动机的特性。When the output current In quadrant II, that is, when the phase of the current at the output terminal leads the phase of the voltage at the output terminal by 90° to 180°, the converter absorbs active power and inductive reactive power; when the current at the output terminal In the third quadrant, that is, when the output current phase lags the output voltage phase by 90~180°, the converter absorbs active power and capacitive reactive power. In the above two cases, the converter simulates the characteristics of synchronous motors and asynchronous motors .
Claims (6)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201510269047.2A CN104993494B (en) | 2015-05-22 | 2015-05-22 | Motor simulator based on four-quadrant power electronic converter and method |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201510269047.2A CN104993494B (en) | 2015-05-22 | 2015-05-22 | Motor simulator based on four-quadrant power electronic converter and method |
Publications (2)
Publication Number | Publication Date |
---|---|
CN104993494A CN104993494A (en) | 2015-10-21 |
CN104993494B true CN104993494B (en) | 2017-05-17 |
Family
ID=54305269
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201510269047.2A Active CN104993494B (en) | 2015-05-22 | 2015-05-22 | Motor simulator based on four-quadrant power electronic converter and method |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN104993494B (en) |
Families Citing this family (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN105790598A (en) * | 2016-04-20 | 2016-07-20 | 中国船舶重工集团公司第七〇二研究所 | Highly-reliable main circuit topological structure of railway ground deflector |
CN105743112B (en) * | 2016-04-27 | 2018-04-03 | 湖北文理学院 | A kind of control method of the exchange flexible power system based on battery energy storage |
CN106541829B (en) * | 2017-01-11 | 2023-08-22 | 西安中车永电捷通电气有限公司 | Auxiliary power supply device for railway vehicle and control method thereof |
CN107196524A (en) * | 2017-07-20 | 2017-09-22 | 云南电网有限责任公司电力科学研究院 | A kind of GIS voltage transformers verifying power supply |
CN110474552A (en) * | 2019-07-29 | 2019-11-19 | 南京南瑞继保工程技术有限公司 | A kind of exchange current converter |
CN110568235B (en) * | 2019-09-09 | 2024-06-25 | 广东安朴电力技术有限公司 | Intelligent high-voltage test power supply system and control method |
CN114962392A (en) * | 2022-06-10 | 2022-08-30 | 北京天玛智控科技股份有限公司 | Working condition simulation test method and system of spontaneous electro-hydraulic motor |
Family Cites Families (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
ES2691413T3 (en) * | 2010-05-27 | 2018-11-27 | Vestas Wind Systems A/S | High voltage power converter |
US20140217827A1 (en) * | 2013-02-01 | 2014-08-07 | 3L Power Llc | Apparatus for and method of operation of a power inverter system |
CN104242762A (en) * | 2014-10-14 | 2014-12-24 | 内蒙古科技大学 | Double-fed wind power generator frequency closed-loop control experiment device and control method |
-
2015
- 2015-05-22 CN CN201510269047.2A patent/CN104993494B/en active Active
Also Published As
Publication number | Publication date |
---|---|
CN104993494A (en) | 2015-10-21 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN104993494B (en) | Motor simulator based on four-quadrant power electronic converter and method | |
US20060282239A1 (en) | Method of setting-up steady state model of VSC-based multi-terminal HVDC transmission system | |
WO2015166613A1 (en) | Power conversion device connected to single-phase system | |
CN104836464B (en) | A VIENNA rectifier DC side midpoint potential balance control device and method | |
CN107863786A (en) | Bidirectional power converter control method based on virtual synchronous motor | |
CN110297182B (en) | Power electronic load system for simulating open-winding permanent magnet synchronous motor | |
CN101895125B (en) | Control method of light-type direct-current transmission system converter of offshore wind power station | |
CN107181259B (en) | A kind of electrical-magnetic model and emulation mode of Distributed Power Flow controller | |
CN106410835A (en) | Power grid simulation realization method of multi-terminal flexible direct-current transmission system | |
CN104993711B (en) | A kind of voltage dip transient process analogue means and method | |
CN103326611A (en) | Controlling method for predicting direct power of three-phase voltage source type PWM converter | |
CN106992514B (en) | A small-disturbance stability analysis method for wind-storage isolated grid system | |
CN107171328A (en) | A kind of modeling of Distributed Power Flow controller and emulation mode based on ADPSS | |
Sanchez et al. | Stability evaluation of a DC micro-grid and future interconnection to an AC system | |
CN106532749A (en) | Unbalanced power and harmonic voltage compensation system for micro-grid and application of system | |
CN106712115A (en) | A Virtual Synchronous Generator Controller Without Current Feedback | |
Thrimawithana et al. | A P&Q based synchronization technique for Bi-directional IPT pick-ups | |
CN109066784A (en) | A kind of micro-capacitance sensor stability control method based on bifurcation theory | |
CN110048447A (en) | H between a kind of flexible HVDC transmission system station∞Decoupling controller | |
CN103366053B (en) | A kind of improvement of Voltage-oriented control strategy and Mathematical Modeling Methods | |
CN108964013B (en) | A UPQC optimal output tracking control method and device based on state observer | |
CN102623996B (en) | Active power filter closed loop control method based on decoupling resonance regulator array | |
CN103259290A (en) | Method for controlling direct voltage of doubly-fed generator grid-side converter without phase-locked loop | |
CN103066625B (en) | Optimization control method for permanent magnet direct drive type wind turbine system grid-side converter | |
Shahir et al. | Dynamic modeling of UPFC based on indirect matrix converter |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
C06 | Publication | ||
PB01 | Publication | ||
C10 | Entry into substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |