Maximum Power Point Tracking in Variable Speed Wind Turbine Based on Permanent Magnet Synchronous Generator Using Maximum Torque Sliding Mode Control Strategy

The present study was carried out in order to track the maximum power point in a variable speed turbine by minimizing electromechanical torque changes using a sliding mode control strategy. In this strategy, first, the rotor speed is set at an optimal point for different wind speeds. As a result of which, the tip speed ratio reaches an optimal point, mechanical power coefficient is maximized, and wind turbine produces its maximum power and mechanical torque. Then, the maximum mechanical torque is tracked using electromechanical torque. In this technique, tracking error integral of maximum mechanical torque, the error, and the derivative of error are used as state variables. During changes in wind speed, sliding mode control is designed to absorb the maximum energy from the wind and minimize the response time of maximum power point tracking(MPPT). In this method, the actual control input signal is formed from a second order integral operation of the original sliding mode control input signal. The result of the second order integral in this model includes control signal integrity, full chattering attenuation, and prevention from large fluctuations in the power generator output. The simulation results, calculated by using MATLAB/m-file software, have shown the effectiveness of the proposed control strategy for wind energy systems based on the permanent magnet synchronous generator(PMSG).

Performance analysis of 20 Pole 1.5 KW Three Phase Permanent Magnet Synchronous Generator for low Speed Vertical Axis Wind Turbine

This paper gives performance analysis of a three phase Permanent Magnet Synchronous Generator (PMSG) connected to a Vertical Axis Wind Turbine (VAWT). Low speed wind condition (less than 5 m/s) is taken in consideration and the entire simulation is carried in Matlab/Simulink environment. The rated power for the generator is fixed at 1.5 KW and number of pole at 20. It is observed under low wind speed of6 m/s, a turbine having approximately1 mof radius and2.6 mof height develops 150 Nm mechanical torque that can generate power up to 1.5 KW. The generator is designed using modeling tool and is fabricated. The fabricated generator is tested in the laboratory with the simulation result for the error analysis. The range of error is about 5%-27% for the same output power value. The limitations and possible causes for error are presented and discussed.

Zero-Sequence Current Suppression Strategy for Open-End Winding Permanent Magnet Synchronous Motor Based on Model Predictive Control

Compared with the traditional three-phase star connection winding,the open-end winding permanent magnet synchronous motor(OW-PMSM)system with a common direct current(DC)bus has a zero-sequence circuit,which makes the common-mode voltage and the back electromotive force(EMF)harmonic generated by the inverters produce the zero-sequence current in the zero-sequence circuit,and the zero-sequence current has great influence on the operation efficiency and stability of the motor control system.A zero-sequence current suppression strategy is presented based on model predictive current control for OW-PMSM.Through the mathematical model of OW-PMSM to establish the predictive model and the zero-sequence circuit model,the common-mode voltage under different voltage vector combinations is fully considered during vector selection and action time calculation.Then zero-sequence loop constraints are established,so as to suppress the zero-sequence current.In the end,the control strategy proposed in this paper is verified by simulation experiments.

Integrated Equivalent Model of Permanent Magnet Synchronous Generator Based Wind Turbine for Large-scale Offshore Wind Farm Simulation

The high-speed simulation of large-scale offshore wind farms(OWFs) preserving the internal machine information has become a huge challenge due to the large wind turbine(WT) count and microsecond-range time step. Hence, it is undoable to investigate the internal node information of the OWF in the electro-magnetic transient(EMT) programs. To fill this gap,this paper presents an equivalent modeling method for largescale OWF, whose accuracy and efficiency are guaranteed by integrating the individual devices of permanent magnet synchronous generator(PMSG) based WT. The node-elimination algorithm is used while the internal machine information is recursively updated. Unlike the existing aggregation methods, the developed EMT model can reflect the characteristics of each WT under different wind speeds and WT parameters without modifying the codes. The access to each WT controller is preserved so that the time-varying dynamics of all the WTs could be simulated. Comparisons of the proposed model with the detailed model in PSCAD/EMTDC have shown very high precision and high efficiency. The proposed modeling procedures can be used as reference for other types of WTs once the structures and parameters are given.

A Novel Modified Fuzzy-predictive Control of Permanent Magnet Synchronous Generator Based Wind Energy Conversion System

A wind energy conversion system(WECS)based on a permanent magnet synchronous generator(PMSG)is an effective solution for renewable energy generation in modern power systems.The main advantages of PMSG include high performance at high and low speeds,minimal control effort owing to lower rotor inertia,self-excitation,high reliability,and simplicity of structure compared with induction generators.However,the intermittent nature of wind energy implies that maximum efficiency is not obtained from this system.Accordingly,maximum power point tracking(MPPT)in wind turbine systems has been proposed to address this problem.Traditional MPPT strategies suffer from severe output power fluctuations,low efficiency,and significant ripples in turbine rotation speed.This paper presents a novel MPPT control strategy based on fuzzy logic control(FLC)and model predictive control(MPC)to extract the maximum power from a PMSG-WECS and control the machine-side and grid-side converters.The simulation results obtained from Matlab/Simulink confirm the superiority of the control model in eliminating the output power fluctuations of the wind generators and accurately tracking the maximum power point.A comparative study between conventional MPPT and control methods is also conducted.

Robust nonlinear control via feedback linearization and Lyapunov theory for permanent magnet synchronous generator-based wind energy conversion system

In this paper,the method for the nonlinear control design of a permanent magnet synchronous generator based-wind energy conversion system(WECS)is proposed in order to obtain robustness against disturbances and harvest a maximum power from a typical stochastic wind environment.The technique overcomes both the problem of nonlinearity and the uncertainty of the parameter compared to such classical control designs based on traditional control techniques.The method is based on the differential geometric feedback linearization technique(DGT)and the Lyapunov theory.The results obtained show the effectiveness and performance of the proposed approach.

Control Strategy of Wind Turbine Based on Permanent Magnet Synchronous Generator and Energy Storage for Stand-Alone Systems

This paper investigates a variable speed wind turbine based on permanent magnet synchronous generator and a full-scale power converter in a stand-alone system.An energy storage system(ESS)including battery and fuel cell-electrolyzer combination is connected to the DC link of the full-scale power converter through the power electronics interface.Wind is the primary power source of the system,the battery and FC-electrolyzer combination is used as a backup and a long-term storage system to provide or absorb power in the stand-alone system,respectively.In this paper,a control strategy is proposed for the operation of this variable speed wind turbine in a stand-alone system,where the generator-side converter and the ESS operate together to meet the demand of the loads.This control strategy is competent for supporting the variation of the loads or wind speed and limiting the DC-link voltage of the full-scale power converter in a small range.A simulation model of a variable speed wind turbine in a stand-alone system is developed using the simulation tool of PSCAD/EMTDC.The dynamic performance of the stand-alone wind turbine system and the proposed control strategy is assessed and emphasized with the simulation results.

Comparative Performance of Fixed-Speed and Variable-Speed Wind Turbine Generator Systems

In the early development of the wind energy, the majority of the wind turbines have been operated at constant speed. Subsequently, the number of variable-speed wind turbines installed in wind farms has increased. In this paper, a comparative performance of fixed and variable speed wind generators with Pitch angle control has been presented. The first is based on a squirrel cage Induction Generator （IG） of 315 kW rated power, connected directly to the grid. The second incorporated a Permanent Magnet Synchronous Generator （PMSG） of 750 kW rated power. The performances of each studied wind generator are evaluated by simulation works and variable speed operation is highlighted as preferred mode of operation.

Torque characteristics in a large permanent magnet synchronous generator with stator radial ventilating air ducts

In this study, we investigated the torque characteristics of large low-speed direct-drive permanent magnet synchronous generators with stator radial ventilating air ducts for offshore wind power applications. Magnet shape optimization was used first to improve the torque characteristics using two-dimensional finite element analysis（FEA） in a permanent magnet synchronous generator with a common stator. The rotor step skewing technique was then employed to suppress the impacts of mechanical tolerances and defects, which further improved the torque quality of the machine. Comprehensive three-dimensional FEA was used to evaluate accurately the overall effects of stator radial ventilating air ducts and rotor step skewing on torque features. The influences of the radial ventilating ducts in the stator on torque characteristics, such as torque pulsation and average torque in the machine with and without rotor step skewing techniques, were comprehensively investigated using three-dimensional FEA. The results showed that stator radial ventilating air ducts could not only reduce the average torque but also increase the torque ripple in the machine. Furthermore, the torque ripple of the machine under certain load conditions may even be increased by rotor step skewing despite a reduction in cogging torque.

Multi-objective design optimization of a large-scale directdrive permanent magnet generator for wind energy conversion systems

This paper presents a simukaneous multi- objective optimization of a direct-drive permanent magnet synchronous generator and a three-blade horizontal-axis wind turbine for a large scale wind energy conversion system. Analytical models of the generator and the turbine are used along with the cost model for optimization. Three important characteristics of the system i.e.,the total cost of the generator and blades, the annual energy output and the total mass of generator and blades are chosen as objective functions for a multi-objective optimization. Genetic algorithm （GA） is then employed to optimize the value of eight design parameters including seven generator parameters and a turbine parameter resulting in a set of Pareto optimal solutions. Four optimal solutions are then selected by applying some practical restrictions on the Pareto front. One of these optimal designs is chosen for finite element verification. A circuit-fed coupled time stepping finite element method is then performed to evaluate the no-load and the full load performance analysis of the system including the generator, a rectifier and a resistive load. The results obtained by the finite element analysis （FEA） verify the accuracy of the analytical model and the proposed method.

A Fuzzy Logical MPPT Control Strategy for PMSG Wind Generation Systems

Making full use of wind power is one of the main purposes of the wind turbine generator control. Conventional hill climbing search （HCS） method can realize the maximum power point tracking （MPPT）. However, the step size of HCS method is constant so that it cannot consider both steady-state response and dynamic response. A fuzzy logical control （FLC） algorithm is proposed to solve this problem in this paper, which can track the maximum power point （MPP） quickly and smoothly. To evaluate MPPT algorithms, four performance indices are also proposed in this paper. They are the energy captured by wind turbine, the maximum power-point tracking time when wind speed changes slowly, the fluctuation magnitude of real power during steady state, and the energy captured by wind turbine when wind speed changes fast. Three cases are designed and simulated in MATLAB/Simulink respectively. The comparison of the three MPPT strategies concludes that the proposed fuzzy logical control algorithm is more superior to the conventional HCS algorithms.

永磁同步发电机匝间短路故障对绕组绝缘温升特性的影响

本文分析了永磁同步发电机匝间短路故障前后的绕组绝缘温升特性。首先推导了正常情况和匝间短路故障下的气隙磁通密度,相电流、铁心损耗和绕组铜耗解析表达式;然后建立了发电机三维有限元仿真模型,将电磁场中计算得到的各类损耗作为热源导入温度场计算绕组绝缘温度分布;最后实测了LR-5型故障模拟永磁同步发电机组在不同短路程度下的绕组绝缘温度,理论分析、仿真计算与实验结果相互吻合。结果表明:匝间短路故障后在故障绕组电流的作用下,绕组绝缘温度明显上升,并且随着短路程度的增加而加剧,由绕组绝缘热载荷分布不均而引起的变形、应变和应力也将增加;绕组鼻端处绝缘易因高温而受损,可通过改进冷却散热结构,或在鼻端绝缘局部涂覆耐热涂层提高鼻端绝缘的可靠性。

永磁直驱型风机海上风电送出系统不对称接地及甩负荷电磁暂态研究

为明确海上风电交流送出系统过电压的特征与水平,需考虑风电机组的故障穿越特性。该文结合永磁直驱风机变流器的控制原理,提出海上风电送出系统不对称接地过电压的解析计算方法。基于PSCAD对风电机组进行精确电磁暂态建模与故障电压穿越测试,以国内某500 kV大规模海上风电工程为背景,仿真计算送出系统不对称接地及甩负荷过电压。结果表明:系统不对称接地过电压大小与风机正负序控制策略有关;海缆电网侧甩负荷将产生持续百ms的1.3 pu以上的暂态过电压,风机过电压保护动作延时越长,暂态过电压越严重。实际海上风电工程计算需紧密联系风机控制保护策略及其参数,并综合关键设备耐压水平进行评估,通过风机控制策略优化可以降低系统过电压水平。

虚拟惯量控制对直驱风电机组载荷影响的分析及评估

针对虚拟惯量控制诱发风电机组机械载荷的问题,开展虚拟惯量控制对采用直驱永磁同步发电机(D-PMSG)的风电机组载荷影响的理论分析和仿真评估研究。从叶片、塔筒等机械结构低阶模态出发,建立虚拟惯量控制下D-PMSG线性化多体动力学模型,并通过线性化多体动力学模型分析虚拟惯量控制对机组载荷的影响机理。采用软件联合建模方法,构建涵盖永磁同步电机及其控制、电网、机械和气动特性等的D-PMSG非线性机电耦合模型。依据冲击载荷最大值、最大变化幅度百分比及等值疲劳载荷等指标,通过所建立的非线性机电耦合模型仿真分析并量化评估虚拟惯量控制对机组冲击载荷和动态疲劳载荷的影响。结果表明,D-PMSG附加虚拟惯量控制后,电网侧频率突变会使得传动轴和塔底侧向出现显著冲击载荷,且其随虚拟惯量时间常数增大而增大,在湍流风运行工况下机组传动轴和塔底侧向等值疲劳载荷较无附加虚拟惯量控制均有所减小。

结合风速预测的直驱风电机组减载调频策略

直驱永磁风电机组常用的减载调频控制策略缺乏对风电机组运行经济性和调频能力的考虑,易导致系统出现调频能力不足或备用功率冗余的问题,对此提出了一种基于变减载率的优化减载调频策略。首先划分不同的风速模式,确立不同模式下的超速与变桨距协调控制方案;其次考虑系统调频能力和发电量两因素,设计函数求取不同工况下的最优减载率;由于风速波动频繁,风机控制具有延迟,因此利用风速预测和滑动窗口法对最优减载率做进一步调整;最后搭建系统仿真模型,通过改进的频率控制动态调整减载率参与系统调频。仿真实验表明,所提控制策略与常用的策略相比在实时风速、负荷扰动下系统频率动态偏差减小、达到最低值的时间延长,风机发电量增加,桨距角变化量减小。该策略能满足调频需求,提升调频质量,减小机械磨损,提高风机运行的经济性。

永磁同步风力发电系统的最大功率跟踪模糊分数阶控制

在“双碳”背景下,风电作为零碳电力和新能源发电的主力军,在助力社会全面绿色低碳转型方面发挥了关键性作用。在保证发电稳定的前提下实现风能的最大化利用,提升风力发电系统发电量至为重要。文中针对永磁同一步风力发电系统的最大功率跟踪(maximum power point tracking, MPPT)问题进行研究。首先建立了永磁同步风力发电系统的机理仿真模型,用两电平双PWM全功率换流器连接风力发电机与电网。然后基于以上模型,分别设计了整数阶PI控制器、分数阶PI"控制器、模糊分数阶PP控制器以实现MPPT控制。最后对以上控制策略进行了仿真研究。结果表明,无论在阶跃风速还是随机风速下,模糊分数阶PU控制器相较于其他两种均具有更出色的MPPT性能与更强的鲁棒性。

基于QROGI的永磁同步风力发电机定子电流谐波抑制方法

针对永磁同步风力发电机驱动系统中定子电流谐波的问题,提出一种基于准降阶广义积分器(QROGI)的电流谐波抑制方法。将QROGI控制器引入电机控制电流环,利用QROGI控制器在设定交流频率处的高增益以抑制谐波电流;针对旋转坐标系下谐波电流分量在交直轴上表征为交流量,通过在电流内环叠加QROGI控制器实现对谐波电流的控制;对叠加QROGI的电流环控制器进行详细理论分析,对电流环控制器参数进行设计,给出详细的分析过程及控制器参数定量计算方法。最后通过搭建半实物实验平台验证了所提方法能够对永磁同步风力发电机定子谐波电流进行有效抑制。

模型预测转矩自抗扰控制下直驱永磁同步发电机最大追踪系统

为了更好地获取风能,构建了一种基于模型预测转矩自抗扰的最大功率追踪控制系统,用于直驱永磁同步发电机(permanent magnet synchronous generator,PMSG)来实现系统的最大输出功率追踪。为了提升PMSG响应性能,增强PMSG抗扰动性能,首先在电流环设计了模型预测转矩控制(model predictive torque control,MPTC),同时在速度环提出了一种参数补偿改进自抗扰控制(active disturbance rejection control,ADRC)策略,该方法继承了ADRC和MPTC的优点,可以很好地处理内部和外部干扰、建模误差和风速变化等不确定性问题,以实现在不同风速下最大功率追踪性能。从仿真结果可知当风速变化较小时所提控制策略转速静态误差几乎为0,传统MPTC控制策略误差为0.2 rad/s;当风速变化较大时所提控制策略转速静态误差较小,传统MPTC控制策略误差达到5 rad/s。研究结果表明所提出的控制方法在最大功率追踪较传统控制器具有更好的动态响应性能以及抗干扰性能。

基于储能和无功优化的直驱机组海上风电场低电压穿越策略

针对直驱永磁机组海上风电场中的低电压穿越问题,提出了一种基于储能和无功优化的控制方案。采用锂电池作为分散式储能设备,吸收故障时刻直流母线上的多余功率,抑制电网故障时机组直流侧电压上升。同时根据各台机组的不同运行状况分配不同的无功指令,选取网侧变流器输出的有功功率、直流母线电压、机端电压作为评价指标,依据评价指标结果对风电场中各台风电机组低电压穿越能力进行评估,优化控制各台机组的无功出力,从而有效提高整个风电场的无功输出能力。以某海上风电场为例进行仿真分析,仿真结果表明了该方案能显著提高风电场低电压穿越能力。

具备内部故障仿真能力的永磁同步发电机电磁暂态建模与仿真方法

对永磁同步发电机(PMSG)内部定子绕组故障的精确建模与仿真有助于设计有效的状态检测系统和控制保护策略。首先对PMSG内部故障特征进行分析和详细的数学推导,给出了适合电磁暂态(EMT)建模的状态空间形式的动态方程。进而提出了一种PMSG内部故障EMT建模与仿真方法,并推导出其等效电路。利用MATLAB对推导出的方程进行了数值计算迭代求解,并在PSCAD/EMTDC中搭建了PMSG测试模型,与数值计算结果进行分析和对比验证。分析结果表明,PMSG内部故障会在短路路径中产生较大的循环故障电流,但是从发电机外部特性很难判断是否发生内部故障。对比验证结果表明,所建立PMSG内部故障EMT模型可准确反映内部故障特征,验证了所提建模方法的正确性。