Modeling and small-signal stability analysis of doubly-fed induction generator integrated system

Owing to their stability,doubly-fed induction generator(DFIG)integrated systems have gained considerable interest and are the most widely implemented type of wind turbines and due to the increasing escalation of the wind generation penetration rate in power systems.In this study,we investigate a DFIG integrated system comprising four modules:(1)a wind turbine that considers the maximum power point tracking and pitch-angle control,(2)induction generator,(3)rotor/grid-side converter with the corresponding control strategy,and(4)AC power grid.The detailed small-signal modeling of the entire system is performed by linearizing the dynamic characteristic equation at the steady-state value.Furthermore,a dichotomy method is proposed based on the maximum eigenvalue real part function to obtain the critical value of the parameters.Root-locus analysis is employed to analyze the impact of changes in the phase-locked loop,short-circuit ratio,and blade inertia on the system stability.Lastly,the accuracy of the small-signal model and the real and imaginary parts of the calculated dominant poles in the theoretical analysis are verified using PSCAD/EMTDC.

Probabilistic Load Flow Algorithm with the Power Performance of Double-Fed Induction Generators

Probabilistic load flow(PLF)algorithm has been regained attention,because the large-scale wind power integration into the grid has increased the uncertainty of the stable and safe operation of the power system.The PLF algorithm is improved with introducing the power performance of double-fed induction generators(DFIGs)for wind turbines(WTs)under the constant power factor control and the constant voltage control in this paper.Firstly,the conventional Jacobian matrix of the alternating current(AC)load flow model is modified,and the probability distributions of the active and reactive powers of the DFIGs are derived by combining the power performance of the DFIGs and the Weibull distribution of wind speed.Then,the cumulants of the state variables in power grid are obtained by improved PLF model and more accurate power probability distributions.In order to generate the probability density function(PDF)of the nodal voltage,Gram-Charlier,Edgeworth and Cornish-Fisher expansions based on the cumulants are applied.Finally,the effectiveness and accuracy of the improved PLF algorithm is demonstrated in the IEEE 14-RTS system with wind power integration,compared with the results of Monte Carlo(MC)simulation using deterministic load flow calculation.

Steady State Analysis of a Doubly Fed Induction Generator

In this paper, we present the steady state analysis of a double-fed induction generator (DFIG) adopted for wind power generation. The three-phase induction machine connected to the network, to work as a generator for wind farms, is excited on the rotor circuit by a slip-frequency current injected to the rotor, from an exciter mounted on the same shaft of the machine. The resulting rotating magnetic field rotates at synchronous speed;as such the generated power has a constant frequency independent of the shaft speed. Effects of the excitation voltage magnitude and phase angle on the active and reactive power are studied, when the machine runs at constant speed. It has been shown that by controlling the excitation voltage magnitude and phase angle would control the mode of operation of the machine;motor mode or generator mode. Furthermore, the effects of the shaft speed on the active and reactive power at constant excitation voltage magnitude and constant phase angle are also investigated.

An analytic electromagnetic calculation method for performance evolution of doubly fed induction generators for wind turbines

An analytic electromagnetic calculation method for doubly fed induction generator(DFIG) in wind turbine system was presented. Based on the operation principles, steady state equivalent circuit and basic equations of DFIG, the modeling for electromagnetic calculation of DFIG was proposed. The electromagnetic calculation of DFIG was divided into three steps: the magnetic flux calculation, parameters derivation and performance checks. For each step, the detailed numeric calculation formulas were all derived. Combining the calculation formulas, the whole electromagnetic calculation procedure was established, which consisted of three iterative calculation loops, including magnetic saturation coefficient, electromotive force and total output power. All of the electromagnetic and performance data of DIFG can be calculated conveniently by the established calculation procedure, which can be used to evaluate the new designed machine. A 1.5 MW DFIG designed by the proposed procedure was built, for which the whole type tests including no-load test, load test and temperature rising test were carried out. The test results have shown that the DFIG satisfies technical requirements and the test data fit well with the calculation results which prove the correctness of the presented calculation method.

Effects of Wind Turbines Equipped with Doubly-fed Induction Generators on Distance Protection

Nowadays wind energy is the fastest growing renewable energy resource in the world.The problems of integrating wind farms are caused by changes of wind speed during a day.Moreover,the behaviors of wind turbines equipped with doubly-fed induction generators differ fundamentally from synchronous generators.Therefore,more considerations are needed to analyze the performances of the distance protection relays.The protection of a wind farm with distance relay is inspected.By changing the conditions of the wind farm,the characteristics of the distance relay are studied.

High Efficiency Double–Fed Induction Generator Applied to Wind Power Generator Technical Analyses

High efficiency Double-Fed Induction Generator applies new power electronic technology, and utilizes vector control to fix the magnetic direction of the stator to the vertical axis. Adjusting the input current of rotor via an inverter can separately control the cross axis and vertical axis current of real power and reactive power of a generator. Traditionally, rotating speed affects frequency and the output is unstable. This study concentrates on high efficiency Double-Fed Induction Generators and Traditional Generators from mathematic model to derive and control the characteristics simulation and comparison than get an output of high efficiency Double-Fed Industrial Generators. This study utilizes the simulation software MATLAB/Simulink to simulate the response characteristics of vector control of a Double-Fed Industrial Generator. The operating and control functions are better than those of a traditional generator.

Control of Doubly Fed Induction Generator under Unbalanced Voltages for Reduction of Torque Pulsation

The unbalanced voltages cause negative effects on the doubly fed induction generator （DFIG） sucn as torque pulsation,and increased stator current. Based on the symmetrical component theory, the torque pulsation is the consequence of the interaction of stator and rotor currents of different sequences. This paper presents a control technique to reduce the effect of unbalanced voltages on the DFIG in wind energy conversion systems. The negative sequence stator voltage is derived from the unbalanced three phase stator voltages. The compensated rotor voltage in terms of the derived negative sequence stator voltage and slip which minimizes the negative stator and rotor currents is proposed. The results from the simulation of control system with steady state model and dynamic model of the DFIG show that additional control loop with compensated voltage can significantly reduce torque and reactive power pulsations.

适应并离网模式切换的DFIG电磁暂态仿真建模

目前,常用的商业仿真软件中的双馈式感应发电机(double-fed Induction Generator,DFIG)模型通常不支持离网运行模式,难以实现风力发电系统由离网到并网的全过程电磁暂态仿真,对电力系统仿真分析工作带来极大不便。研究适应并离网模式切换的DFIG电磁暂态仿真建模方法。基于模块化思想分别对风力机、异步电机、变流器以及断路器进行建模,在系统组装形成DFIG风力发电系统电磁暂态仿真模型。提出了适应并离网模式切换的DFIG受控源等效电路模型和离散时间域实现方法,通过设计状态变量矩阵元素的截取和扩充算法实现了模型在并离网模式下的无缝衔接。在MATLAB/Simulink中搭建DFIG发电系统模型对所提方法和模型进行验证,仿真结果表明,所提建模方法能够很好地支持DFIG离网运行模式,实现DFIG由离网到并网的全过程电磁暂态仿真。

一种多地DFIG联动控制的多馈入受端系统连续换相失败抑制策略

我国沿海负荷中心呈现直流多馈入的结构特征,海上风电的大规模开发使得系统在非正常工况下容易诱发次同步振荡,电压的快速波动可能会造成连续换相。针对该现象进行机理分析,通过优化双馈风电机组(doubly fed induction generator,DFIG)的控制方法,有效抑制了次同步振荡。同时,针对不同区域风电场调节能力差异,通过关联各直流落点的多馈入交互作用因子(multi-infeed interaction factor,MIIF),充分调动不同区域风电场的补偿能力抬升系统电压。该方法有效地抑制直流多馈入系统的异地连续换相失败。最后,通过PSCAD仿真对比验证所提策略的有效性。

Reactive Current Allocation and Control Strategies Improvement of Low Voltage Ride Though for Doubly Fed Induction Wind Turbine Generation System

为满足风电机组低电压穿越（low voltage ride through,LVRT）的测试要求及其电气模型一致性评估需要,提出考虑向电网注入无功电流的双馈风电机组LVRT的控制策略。在阐述风电机组LVRT测试要求及控制原理的基础上,推导双馈发电机（doubly fed induction generator,DFIG）定子侧及网侧变流器输出无功电流极限表达式,研究电网电压跌落深度和发电机总输出有功功率对其无功电流极限值的影响规律,进而提出DFIG在LVRT期间的无功电流分配算法和改进的有功、无功功率控制策略。最后,以某实际2 MW双馈风电机组为例,分别对风速为5和12 m/s、电网电压对称跌落至20%和50%工况下的LVRT运行性能进行仿真比较和样机测试。与传统LVRT控制方法的对比表明,所提改进控制策略能更好地满足风电机组LVRT的测试要求。样机测试结果进一步证明了改进控制策略和仿真模型的有效性。

不平衡电压下的DFIG模型预测直接功率控制

为提高双馈风力发电机在不平衡电网电压工况下的运行性能,提出一种扩张状态观测器与模型预测控制相结合的直接功率控制策略。首先,采用扩张状态观测器对系统中因负序分量引起的不确定项、模型误差及外部扰动等不确定因素进行参数估计。然后,结合模型预测控制理论建立双馈风力发电机模型预测直接功率控制数学模型。最后,针对不平衡电网电压下的功率振荡分量讨论功率优化补偿方案。仿真结果验证了所提方法的有效性。

基于LESO的DFIG-GSC反馈线性化直接功率控制

为了提高双馈风力发电机网侧变换器(DFIG-GSC)这个强耦合非线性系统的性能,提出了一种反馈线性化直接功率控制策略。首先在αβ坐标系下建立以有功功率、无功功率为变量的DFIG-GSC的数学模型,针对模型中的强耦合项采用反馈线性化进行解耦,得到其线性模型,再结合滑模控制理论设计出功率内环的控制律。由于功率内环控制律中未建模部分和不确定因素会对控制效果产生影响,采用线性扩张状态观测器对其进行观测并对其控制量进行修正。同时电压外环采用滑模控制来提高直流侧电压的响应速度。最后搭建仿真模型与传统PI控制以及直接功率控制进行比较,验证了所提控制策略的合理性和有效性。

Dynamic Couplingand Cooperative Control for Multi-paralleled Doubly Fed Induction Generator Wind Farms during Symmetrical Low Voltage Ride-through in a Weak Grid

In multi-fed grid-connected systems,there are complex dynamic interactions between different pieces of equipment.Particularly in situations of weak-grid faults,the dynamic coupling between equipment becomes more pronounced.This may cause the system to experience small-signal instability during the fault steady-state.In this paper,multi-paralleled doubly fed induction generator(DFIG)-based wind farms(WFs)are taken as an example to study the dynamic coupling within a multi-fed system during fault steady-state of symmetrical low voltage ride-through(LVRT)in a weak grid.The analysis reveals that the dynamic coupling between WFs will introduce a damping shift to each WF.This inevitably affects the system’s dynamic stability and brings the risk of small-signal instability during fault steady-state in LVRT scenarios.Increasing the distance to fault location and fault severity will exacerbate the dynamic coupling between WFs.Because of the dynamic coupling,adjusting the control state of one WF will affect the stability of the remaining WFs in the system.Hence,a cooperative control strategy for multi-paralleled DFIG WFs is proposed to improve dynamic stability during LVRT.The analysis and the effectiveness of the proposed control strategy are verified by modal analysis and simu-lation.

适用于DFIG连接到直流微网的双变换器设计与实现

针对双馈感应式发电机DFIG(doubly-fed induction generator)-DC连接系统电流谐波严重、双VSI连接系统损耗大等问题,设计了1种将三相DFIG连接到直流微电网的新型双变换器连接系统。首先,详细阐述了双变换器连接系统的拓扑结构、脉宽调制PWM(pulse-width modulation)测量和DFIG模型等工作原理。与传统连接系统不同,所提连接系统采用开放端绕组结构,在定子绕组的每一侧使用1个三桥臂整流器,这些桥臂通常由绝缘栅双极晶体管IGBT(insulated gate bipolar transistor)组成,为了减少控制开关的数量和降低成本,采用二极管替代了1个整流器中的IGBT;然后,给出了新型拓扑结构下SSC和RSC的控制策略;接着,与DFIG-DC连接系统和双VSI连接系统在电流谐波畸变、转矩脉动和半导体损耗等方面进行了仿真比较,说明所提方法优越性;最后,针对0.56 kW DFIG进行实验验证,结果表明了所提方法在损耗、谐波以及转矩脉动的优势。

基于DFIG稳态有功功率下限和电网小扰动稳定灵敏度的DFIG有功功率备用容量范围

随着风电并网的快速增加,要求风电机组如双馈感应风电机组(doubly-fed induction generator,DFIG)参与电网有功平衡和频率稳定,为此需要确定其有功功率备用容量范围。提出了超速模式下确定DFIG有功功率备用容量范围的方法。建立了并网DFIG的潮流模型,计及转速与转子侧变流器(rotor-side converter,RSC)的容量约束,确定了DFIG稳态有功功率下限。在此运行方式下,对电网进行了特征值分析以发现危险模式。考虑转差率影响初值和状态矩阵,拓展了潮流雅可比矩阵,建立了危险模式对转差率灵敏度的解析表达。根据上述灵敏度,筛选出与转差率强相关的危险模式,通过调节PI参数或/和转差率以消除危险模式。最后根据转差率取值确定出DFIG有功功率的备用容量范围。算例仿真结果验证了所提算法的正确性和控制效果。

计及不同电压跌落和GSC馈出电流的DFIG精细化故障计算模型

当含双馈感应发电机(DFIG)的交流电网发生故障时,DFIG输出特性的精确性将影响到整个故障网络计算结果的准确性。首先,从DFIG的不同电压跌落出发,详细推导了撬棒保护投入、转子侧变流器(RSC)励磁控制和外环控制下DFIG定子侧输出电流的计算公式。接着,考虑网侧变流器(GSC)的馈出电流,推导了GSC和RSC在不同控制策略下DFIG的输出电流表达式,进而提出了计及不同电压跌落和GSC馈出电流的DFIG精细化故障计算模型。最后,在MATLAB/Simulink平台中进行了DFIG并入无穷大系统和典型电网仿真来验证该精细化模型的准确性。仿真结果表明,所提精细化模型理论计算值与仿真值误差较小;与现有模型相比,该模型在应用于电网故障计算时具有更高的准确性。

基于虚拟同步发电机和无源性控制的DFIG机侧控制策略

传统的双馈感应发电机(doubly-fed induction generator,DFIG)矢量控制因其惯性与电网频率波动解耦而不能为电网提供额外的有功功率支持,为此在DFIG转子侧变流器控制中引入一种改进的虚拟同步发电机(virtual synchronous generator,VSG)控制策略。针对传统VSG控制存在的频率偏差问题,通过在有功下垂环节中加入一个Washout滤波器,实现了在不需要增加额外2次控制回路情况下就能使频率保持在工频50 Hz附近。同时,为解决传统VSG中电压电流双环控制中内环电流PI控制存在的动态响应有限、鲁棒性不强等问题,首次在内环电流控制中引入了基于端口受控的耗散哈密顿(port controlled Hamiltonian with dissipation,PCHD)模型的无源性控制(passivity-based control,PBC)方法,设计了转子侧变流器的无源性控制器。最后,搭建了DFIG仿真系统进行实验验证,结果表明了本文所提控制策略的有效性和优越性。

High Frequency Charging Techniques—Grid Connected Power Generation Using Switched Reluctance Generator

Power generation becomes the need of developed, developing and under developed countries to meet their increasing power requirements. When affordability increases their requirement of power increases, this happens when increased per capita consumption. The existing power scenario states that highest power is produced using firing of coals called thermal energy. A high efficiency Switched Reluctance Generator (SRG) based high frequency switching scheme to enhance the output for grid connectivity is designed, fabricated and evaluated. This proposed method generates the output for the low wind speed. It provides output at low speed because of multi-level DC-DC converter and storage system. It is an efficient solution for low wind power generation. The real time readings and results are discussed.

基于改进自适应陷波的双馈风电场时变次同步振荡抑制策略

双馈风电场经串补电容并网时,可能引发次同步控制相互作用(subsynchronous control interaction,SSCI),严重威胁系统安全稳定运行。通过在风机控制器中引入陷波器可有效阻断SSCI,然而固定参数陷波器难以适应实际系统中次同步振荡表现出的频率大范围时变特征。为解决这一问题,该文提出一种基于改进自适应陷波(adaptive notch filter,ANF)的双馈风电场时变次同步振荡抑制策略。首先,分析ANF安装于风机转子侧变流器(rotor-side converter,RSC)不同位置时对次同步振荡分量的阻断效果,确定ANF的最佳安装位置;其次,基于紧缩技术近似投影子空间跟踪算法(projection approximation subspace tracking based on the deflation technique,PASTd)在线获取次同步振荡信息,提出总体控制架构,设计基于量测数据辨识的ANF中心频率更新策略;最终,在考虑风速、风机台数、无功出力、电网拓扑变化等多种影响因素的情况下,验证控制策略对频率时变次同步振荡的抑制效果。与现有方法相比,所提控制策略不依赖于系统的准确数学模型,且具备较强的鲁棒性和适应性。