C-Vine Pair Copula Based Wind Power Correlation Modelling in Probabilistic Small Signal Stability Analysis

The increasing integration of wind power generation brings more uncertainty into the power system. Since the correlation may have a notable influence on the power system,the output powers of wind farms are generally considered as correlated random variables in uncertainty analysis. In this paper, the C-vine pair copula theory is introduced to describe the complicated dependence of multidimensional wind power injection, and samples obeying this dependence structure are generated. Monte Carlo simulation is performed to analyze the small signal stability of a test system. The probabilistic stability under different correlation models and different operating conditions scenarios is investigated. The results indicate that the probabilistic small signal stability analysis adopting pair copula model is more accurate and stable than other dependence models under different conditions.

Probabilistic small signal stability analysis of power system with wind power and photovoltaic power based on probability collocation method

Recently, with increasing improvements in the penetration of wind power and photovoltaic power in the world, probabilistic small signal stability analysis(PSSSA) of a power system consisting of multiple types of renewable energy has become a key problem. To address this problem, this study proposes a probabilistic collocation method(PCM)-based PSSSA for a power system consisting of wind farms and photovoltaic farms. Compared with the conventional Monte Carlo method, the proposed method meets the accuracy and precision requirements and greatly reduces the computation; therefore, it is suitable for the PSSSA of this power system. Case studies are conducted based on a 4-machine 2-area and New England systems, respectively. The simulation results show that, by reducing synchronous generator output to improve the penetration of renewable energy, the probabilistic small signal stability(PSSS) of the system is enhanced. Conversely, by removing part of the synchronous generators to improve the penetration of renewable energy, the PSSS of the system may be either enhanced or deteriorated.

Small Signal Stability Analysis with Penetration of Grid-connected Wind Farm of PMSG Type

The impacts of large-scale grid-connected wind farm on direct-driven permanent magnet synchronous generator(PMSG)type are discussed on the small signal stability performances of power systems.Firstly,a simplified practical model of wind farm of PMSG type is derived for analyzing small signal stability.The rotor-fluxoriented control strategy is applied to the modelling of PMSG.Secondly,the framework of small signal stability analysis incorporating wind farm of PMSG type is built.Finally,the different simulation scenarios based on the IEEE 3-generator-9-bus test system as benchmark are designed to conduct the eigenvalue analysis and to assess the impacts of wind farm of PMSG type on power system small signal stability.Some conclusions are drawn with simulation results.

Small Signal Stability Analysis for a DFIG-Based Offshore Wind Farms Collected Through VSC-HVDC Transmission System

This paper modeled a doubly fed induction generator (DFIG) - based offshore wind farm integrated through a voltage source converter –based high voltage direct current (VSC-HVDC) transmission system, which is collected with infinite bus for small signal stability analysis. The control system of HVDC system is considered for the stability analysis. The impact of the VSC control parameters on the network stability is studied. The lineared dynamic model is employed to do small signal stability analysis by the eigenvalue analysis. The locus of the eigenvalue, which is corresponding to the oscillation model is studied. Time domain simulations conducted in Matlab/Simulink are used to validate the small signal stability analysis.

A Critical Eigenvalues Tracing Method for the Small Signal Stability Analysis of Power Systems

The continuation power flow method combined with the Jacobi-Davidson method is presented to trace the critical eigenvalues for power system small signal stability analysis. The continuation power flow based on a predictor- corrector technique is applied to evaluate a continuum of steady state power flow solutions as system parameters change;meanwhile, the critical eigenvalues are found by the Jacobi-Davidson method, and thereby the trajectories of the critical eigenvalues, Hopf bifurcation and saddle node bifurcation points can also be found by the proposed method. The numerical simulations are studied in the IEEE 30-bus test system.

Small signal stability analysis of a synchronized control-based microgrid under multiple operating conditions

In this paper,a synchronized control strategy of double fed induction generator that can provide reserve capability and primary frequency support for microgrid is firstly developed.The microgrid based small signal stability performance is investigated under multiple operating conditions.The effect of three categories of key controller parameters on dominant eigenvalues is studied by sensitivity analysis,including:1)active power drooping coefficient;2)reactive power drooping coefficient;3)parameters of outer loop excitation current control.Finally,some constructive suggestions on how to tune controller parameters to improve microgrid’s small signal stability performance are discussed.

Small signal stability analysis of power systems with high penetration of wind power

The integration of large amount of wind power into a power system imposes a new challenge for the secure and economic operation of the system.It is necessary to investigate the impacts of wind power generation on the dynamic behavior of the power system concerned.This paper investigates the impacts of large amount of wind power on small signal stability and the corresponding control strategies to mitigate the negative effects.The concepts of different types of wind turbine generators(WTGs)and the principles of the grid-connected structures of wind power generation systems are first briefly introduced.Then,the state-of-the-art of the studies on the impacts of WTGs on small signal stability as well as potential problems to be studied are clarified.Finally,the control strategies on WTGs to enhance power system damping characteristics are presented.

Dynamics and Small Signal Stability Analysis of PMSG-based Wind Farm with an MMC-HVDC System

The permanent magnet synchronous generator (PMSG)-based wind farm with a modular multilevel converter (MMC) based HVDC system exhibits various oscillations and can experience dynamic instability due to the interactions between different controllers of the wind farm and MMC stations, which have not been properly examined in the existing literatures. This paper presents a dynamic modeling approach for small signal stability analysis of PMSG-based wind farms with a MMC- HVDC system. The small signal model of the study system is validated by the comprehensive electromagnetic transient (EMT) simulations in PSCAD/EMTDC. Then the eigenvalue approach and participation factors analysis are utilized to comprehensively evaluate the impact of different controllers, system’s parameters and the circulating current suppressing controller (CCSC) on the small signal stability of the entire system. From eigenvalue analysis, it is revealed that as the output active power of the wind farm increases within the rated range, the overall system will exhibit a sub-synchronous oscillation (SSO) instability mode, an extremely weak damping mode, and a low frequency oscillation instability mode. From participation factors analysis, it is observed that the SSO mode and weak damping mode are primarily related to the internal dynamics of the MMC, which can be suppressed or improved by CCSC. It is determined that the low frequency oscillation mode is primarily caused by the interactions between the phase locked loop (PLL) control of the wind farm and the voltage and frequency (V-F) control of the MMC station. The analysis also depicts that the larger proportional gain value of the V-F control of the MMC station and smaller PLL bandwidth of the wind farm can enhance the small signal stability of the entire system.

Small signal stability region of power systems with DFIG in injection space

The modal analysis method is utilized to study the influence of doubly-fed induction generator(DFIG)on electromechanical oscillations.On this basis,the small signal stability region(SSSR)of power systems with DFIG in injection space is evaluated and the corresponding relationship between SSSR boundary and electromechanical oscillations is analyzed.The effects of the locations of DFIG on SSSR are considered.It is found that the boundary of SSSR consists of several smooth surfaces,which can be approximated with hyper-planes in engineering application.With the integration of DFIG,SSSR becomes smaller,thus indicating the deterioration of the small signal stability of the system.The 11-bus system with four generators is used to illustrate the proposed method.

Coordination of PSS and FACTS Damping Controllers to Improve Small Signal Stability of Large-scale Power Systems

This paper presents an approach for designing parameters of power system stabilizer(PSS)and FACTS damping controllers in a large scale practical power system.The objective is maximizing damping ratio of the target mode,and tracking technology(MTT)is used to avoid frequent alternations of target mode in optimization procedures.An improved planted growth simulation algorithm(IPGSA),which has high search efficiency and quick convergence speed,is proposed to optimize controller parameters coordinately.Based on case study of a large-scale power grid,and by using local and interregional low-frequency oscillation modes as target modes,simulation results verify proposed method in this paper.Furthermore,coordination optimization strategy adapted to multi-operating conditions demonstrates that the proposed approach is robust.

Tuning method for governor control parameters of hydropower generator in isolated grid considering primary frequency performance and small-signal stability

This paper presents a method of tuning governor control parameters of an isolated hydropower generator considering the primary frequency performance and small-signal stability. First, generators that can be operated in isolated state are identified. Second, different schemes are proposed for generator mode switching from on-grid to off-grid state through comparison and mechanism analysis. Third, the time domain model and frequency domain model of the isolated generator governor are constructed to respectively estimate the primary frequency performance and small signal stability. Parameter sets that satisfy the primary frequency performance and small signal stability are acquired as optimal values of governor control parameters. Finally, the measurement-based parameters of the governor are identified and validated using simulations to demonstrate the feasibility and effectiveness of the method.

Small-Signal Stability Analysis of Wind Power System Based on DFIG

This paper focuses on the small-signal stability of power system integrated with DFIG-based wind farm. The model of DFIG for small-signal stability analysis has built;the 3-generator 9-bus WECC test system is modified to investigate the impacts of large scale integration of wind power on power system small-signal stability. Different oscillatory modes are obtained with their eigenvalue, frequency and damping ratio, the results from eigenvalue analysis are presented to demonstrate the small-signal stability of power system is enhanced with the increasing output of the wind farm.

A novel stabilization approach for small signal disturbance of power system with time-varying delay

Small signal instability may cause severe accidents for power system if it can not be dear correctly and timely. How to maintain power system stable under small signal disturbance is a big challenge for power system operators and dispatchers. Time delay existing in signal transmission process makes the problem more complex. Conventional eigenvalue analysis method neglects time delay influence and can not precisely describe power system dynamic behaviors. In this work, a modified small signal stability model considering time varying delay influence was constructed and a new time delay controller was proposed to stabilize power system under disturbance. By Lyapunov-Krasovskii function, the control law in the form of nonlinear matrix inequality （NLMI） was derived. Considering synthesis method limitation for time delay controller at present, both parameter adjustment method by using linear matrix inequality （LMI） solver and iteration searching method by solving nonlinear minimization problem were suggested to design the controller. Simulation tests were carried out on synchronous-machine infinite-bus power system. Satisfactory test results verify the correctness of the proposed model and the feasibility of the stabilization approach.

跟网型变换器的小扰动同步稳定机理分析与致稳控制

弱电网下,跟网型变换器易出现因阻尼不足导致的小扰动同步失稳问题。为此,该文借鉴复转矩分析理论,计及复杂控制耦合,建立跟网型变换器的复转矩模型。量化多环控制耦合、线路阻抗、控制参数等因素对系统阻尼转矩的影响,从阻尼的角度揭示跟网型变换器的小扰动同步失稳机理。根据理论分析,提出一种基于相位补偿的锁相环阻尼重塑控制策略,通过补偿多环控制耦合引入的负阻尼,增强变换器的小扰动同步稳定性。最后,开展相应的仿真与实验,验证理论分析的正确性与改进控制策略的有效性。

基于TCN的跟网/构网混合型新能源场站并网系统小干扰稳定性快速评估

为支撑跟网/构网混合型新能源场站中机组控制方式快速切换,实现可适应电网强度变化的新能源场站安全稳定运行,提出基于时间卷积神经网络(temporal convolutional network,TCN)的跟网/构网混合型新能源场站并网系统小干扰稳定性快速评估方法。首先,构建跟网/构网混合型新能源场站聚合阻抗模型,通过特征值计算得到并网系统小干扰稳定裕度。然后,以并网系统短路比和新能源场站跟网/构网控制方式信息作为输入特征,以并网系统小干扰稳定裕度和阻尼比作为输出特征,训练TCN得到混合型新能源场站并网系统小干扰稳定性快速评估模型。经过训练的模型可根据短路比和跟网/构网混合型新能源场站中各机组的控制方式快速输出对应的小干扰稳定裕度和阻尼比。最后,以一个含10台风电机组的新能源场站为对象进行算例分析。结果表明:所提TCN方法相比于长短期记忆神经网络方法,在小干扰稳定裕度和阻尼比预测上的平均绝对百分比误差分别降低16.76%、14.75%;所提方法的计算耗时相对于特征值计算方法降低98.54%,从而验证所提小干扰稳定性快速评估方法的准确性与时效性。

多源多负荷直流微电网的稳定裕度分析及控制参数优化设计方法

为研究多源多负荷参数间的耦合交互对系统稳定运行的影响,该文建立多源多负荷直流微电网的小信号模型,基于系统振荡模态以及参与因子进行电压稳定性分析。在考虑同类参数耦合的系统稳定裕度分析中,发现全新规律为三台电源供电时,源侧线路长度采用“两长一短”比“两短一长”时系统稳定裕度更大。在考虑异类参数交互的系统稳定裕度分析中,详细解释了多源中下垂系数和虚拟惯性系数的交互作用。基于多控制参数的耦合交互影响,提出控制参数优化设计方法,实现系统稳定裕度最大,并使多源具有提供较大惯性的能力。最后,实验结果验证了上述分析的正确性。

考虑交直流谐波耦合的并网逆变器建模与分析

可再生能源的大规模开发利用使得逆变器在电网中的比例越来越高,逆变器与电网间谐波交互作用也愈加频繁和复杂。针对传统的建模方法无法体现逆变器与电网间谐波交互耦合的问题,文中基于谐波状态空间(HSS)理论对三相并网逆变器进行建模,该模型将交直流侧的多个频次谐波考虑在内,具有较高的精度。基于HSS模型推导出输入到输出的谐波传递函数矩阵,建立逆变器交直流谐波耦合导纳幅值图,探究交直流谐波耦合关系。然后,提出了一种适用于闭环控制系统的三相并网逆变器小信号HSS建模方法,通过计算特征值对系统稳定性进行评估以及对振荡频率进行预测。最后与MATLAB/Simulink仿真结果进行对比,验证了所建立HSS模型的准确性和系统稳定性分析的正确性。

超导磁储能装置提高柔性直流配电系统稳定性的研究

柔性直流配电系统中定功率控制的换流器具有恒功率负载特性,会降低系统阻尼,对系统的稳定性产生不利影响。针对该问题,在直流配电系统中加入超导磁储能SMES(superconducting magnetic energy storage)装置来提高系统的稳定性。推导了柔性直流配电系统的反馈控制模型,采用频域分析法研究了换流器恒功率负载特性对系统稳定性的影响,并结合数学模型和频域分析,指出SMES装置能够为电网提供正阻尼,增大了系统开环传递函数在剪切频率处的相位裕度,从而改善了系统稳定性。为防止超导磁体两端电压过高,SMES装置与直流配电网连接的DC/DC换流器需具备一定的电压调节性能,因此研究了采用模块化多电平DC/DC换流器DC-MMC(modular multilevel DC/DC converter)的SMES装置,通过调节子模块个数灵活设置换流器电压变比,在实现换流器能量双向流动的同时控制超导磁体两端电压,以保护储能装置。最后通过时域仿真波形验证了采用DC-MMC的SMES装置在提高柔性直流配电系统稳定性方面的可行性和有效性。

基于虚拟母线电压控制的构网型储能变流器稳定性优化研究

构网型储能变流器作为高比例新能源接入电网的关键设备在强电网下存在稳定性问题。针对此问题,本工作提出一种基于虚拟母线电压控制的构网型储能变流器稳定性优化方法。首先,建立构网型储能变流器状态空间小信号模型,利用特征根分析法得出构网型储能变流器强电网下稳定性变差甚至振荡失稳的结论。然后,提出基于虚拟母线电压控制的稳定性优化方法,通过改变有功功率环跟踪电网电压相位的位置等效提高电网阻抗,从而提高强电网下构网型储能变流器系统并网的稳定性。接着,分析不同工况下加入虚拟母线电压控制前后系统的特征根变化趋势和稳定性提升效果,同时也分析了虚拟母线电压控制参数中补偿系数k和时间常数t对稳定性的影响并给出一般参数设计范围。最后,在MATLAB/Simulink中搭建构网型储能变流器并网模型进行时域验证,进一步搭建硬件在环实验平台进行半实物验证,验证结果表明基于虚拟母线电压控制的构网型储能变流器在强电网下的稳定性明显提高。

三相电压型VIENNA整流器建模及稳定性分析

基于电动汽车直流充电桩的VIENNA型前级整流电路,提出采用小信号方法对VIENNA整流器进行建模。该方法首先通过采用局部线性化技术和状态空间平均法推导dq0坐标系下VIENNA整流器的数学模型,得出相关传递函数矩阵,即VIENNA整流器小信号线性化模型,进而用于控制器的设计;然后,采用频域法分别对电压环、电流环进行设计,利用频域法及根轨迹曲线详细分析各项参数对系统的影响,并利用曲线拟合的方式给出了系统稳定域随各项参数变化的曲线;最后,在实验中验证所提方法的正确性。