Subsynchronous oscillation monitoring and alarm method based on phasor measurements

Owing to the large-scale grid connection of new energy sources, several installed power electronic devices introduce sub-/supersynchronous inter-harmonics into power signals, resulting in the frequent occurrence of subsynchronous oscillations(SSOs). The SSOs may cause significant harm to generator sets and power systems;thus, online monitoring and accurate alarms for power systems are crucial for their safe and stable operation. Phasor measurement units(PMUs) can realize the dynamic real-time monitoring of power systems. Based on PMU phasor measurements, this study proposes a method for SSO online monitoring and alarm implementation for the main station of a PMU. First, fast Fourier transform frequency spectrum analysis is performed on PMU current phasor amplitude data to obtain subsynchronous frequency components. Second, the support vector machine learning algorithm is trained to obtain the amplitude threshold and subsequently filter out safe components and retain harmful ones. Finally, the adaptive duration threshold is determined according to frequency susceptibility, amplitude attenuation, and energy accumulation to decide whether to transmit an alarm signal. Experiments based on field data verify the effectiveness of the proposed method.

High Impedance Fault Detection of Distribution Network by Phasor Measurement Units

This paper proposes a new algorithm for High Impedance Fault (HIF) detection using Phasor Measurement Unit (PMU). This type of faults is difficult to detect by over current protection relays because of low fault current. In this paper, an index based on phasors change is proposed for HIF detection. The phasors are measured by PMU to obtain the square summation of errors. Two types of data are used for error calculation. The first one is sampled data and the second one is estimated data. But this index is not enough to declare presence of a HIF. Therefore another index introduces in order to distinguish the load switching from HIF. Second index utilizes 3rd harmonic current angle because this number of harmonic has a special behaviour during HIF. The verification of the proposed method is done by different simulation cases in EMTP/MATLAB.

Optimal Placement of Phasor Measurement Units Using a Modified Canonical Genetic Algorithm for Observability Analysis

This paper proposes a method for optimal placement of synchronized PMUs （phasor measurement units） in electrical power systems using a MCGA （modified canonical genetic algorithm）, which the goal is to determine the minimum number of PMUs, as well as the optimal location of these units to ensure the complete topological observability of the system. In case of more than one solution, a strategy of analysis of the design matrix rank is applied to determine the solution with the lower number of critical measurements. In the proposed method of placement, modifications are made in the crossover and mutation genetic operators, as well as in the formation of the subpopulation, and are considered restrictive hypotheses in the search space to improve the performance in solving the optimization problem. Simulations are performed using the IEEE 14-bus, IEEE 30-bus and New England 39-bus test systems. The proposed method is applied on the IEEE 118-bus test system considering the presence of observable zones formed by conventional measurements.

Estimation Method of Center of Inertia Frequency Based on Phasor Measurement Data

In the world, recent increased disturbances, congestion management problems, and increases of complexity in operating power systems have brought the need for integrations and improvements of power systems. Advanced applications in WAMPAC （wide area monitoring, protection, and control） systems provide a cost effective solution to improve system planning, operation, maintenance, and energy trading. Synchronized measurement technology and the application are an important element of WAMPAC. In addition, PMUs （phasor measurement units） are the most accurate and advanced time-synchronized technology available for WAMPAC application. Therefore, the original measurement system of PMUs has been constructed in Japan. This paper describes the estimation method of a center of inertia frequency by applying actual measurement data. The application of this method enables us to extract power system oscillations from measurement data appropriately. Moreover, this proposed method will help to the clarification of power system dynamics and this application will make it possible to realize the monitoring of power system oscillations associated with the power system stability.

Curvature Quantified Douglas-Peucker-based Phasor Measurement Unit Data Compression Method for Power System Situational Awareness

Facing constraints imposed by storage and bandwidth limitations,the vast volume of phasor meas-urement unit(PMU)data collected by the wide-area measurement system(WAMS)for power systems cannot be fully utilized.This limitation significantly hinders the effective deployment of situational awareness technologies for systematic applications.In this work,an effective curvature quantified Douglas-Peucker(CQDP)-based PMU data compression method is proposed for situational awareness of power systems.First,a curvature integrated distance(CID)for measuring the local flection and fluc-tuation of PMU signals is developed.The Doug-las-Peucker(DP)algorithm integrated with a quan-tile-based parameter adaptation scheme is then proposed to extract feature points for profiling the trends within the PMU signals.This allows adaptive adjustment of the al-gorithm parameters,so as to maintain the desired com-pression ratio and reconstruction accuracy as much as possible,irrespective of the power system dynamics.Fi-nally,case studies on the Western Electricity Coordinat-ing Council(WECC)179-bus system and the actual Guangdong power system are performed to verify the effectiveness of the proposed method.The simulation results show that the proposed method achieves stably higher compression ratio and reconstruction accuracy in both steady state and in transients of the power system,and alleviates the compression performance degradation problem faced by existing compression methods.Index Terms—Curvature quantified Douglas-Peucker,data compression,phasor measurement unit,power sys-tem situational awareness.

A Robust Asynchrophasor in PMU Using Second-Order Kalman Filter

Phasor Measurement Units(PMUs)provide Global Positioning System(GPS)time-stamped synchronized measurements of voltage and current with the phase angle of the system at certain points along with the grid system.Those synchronized data measurements are extracted in the form of amplitude and phase from various locations of the power grid to monitor and control the power system condition.A PMU device is a crucial part of the power equipment in terms of the cost and operative point of view.However,such ongoing development and improvement to PMUs’principal work are essential to the network operators to enhance the grid quality and the operating expenses.This paper introduces a proposed method that led to lowcost and less complex techniques to optimize the performance of PMU using Second-Order Kalman Filter.It is based on the Asyncrhophasor technique resulting in a phase error minimization when receiving the signal from an access point or from the main access point.The MATLAB model has been created to implement the proposed method in the presence of Gaussian and non-Gaussian.The results have shown the proposed method which is Second-Order Kalman Filter outperforms the existing model.The results were tested usingMean Square Error(MSE).The proposed Second-Order Kalman Filter method has been replaced with a synchronization unit into thePMUstructure to clarify the significance of the proposed new PMU.

基于相量测量单元优化配置的配电网谐波状态估计研究

随着大量电力电子设备的接入,配电网谐波问题愈发严重。谐波状态估计的准确性直接影响到后续的谐波治理效果。相量测量单元(phasor measurement unit,PMU)可以实时测量节点电压与支路电流,可借助其实现谐波状态估计。然而目前PMU价格较高,如何进行合理的优化配置保证全网谐波状态可观,同时提高谐波状态估计的准确性,是亟待解决的问题。首先构建以PMU经济配置和谐波状态估计精度最高为目标的PMU优化配置模型,并提出一种改进二进制粒子群-遗传混合算法用于求解。随后在实时仿真器中搭建IEEE14节点模型,选用均值插补法以及Vondrak滤波法进行数据处理并分析了优化所得多种PMU配置场景对谐波状态估计的影响。结果表明:所提算法从减少投资成本及降低谐波状态估计误差角度考虑,能够给出合理的PMU配置方案,有助于支撑工程决策。

基于HT-STWLS的配电网PMU设计

随着分布式能源和可调负荷大量接入配电网,其随机性和间歇性增加了配电网信号量测的难度,同时配电网存在节点分支类型变化多、通信条件受限等不确定因素,使相量量测单元(PMU)在配电网中应用受到限制。针对配电网节点多分支特点和量测估计高精度要求等问题,提出了基于HT-STWLS的新型配电网同步量测单元,并搭建了实验装置。首先,该装置采用多核分布式结构,通过网络路由模式,能够有效解决节点多分支量测问题,增强节点边缘计算能力;然后,对装置采集信号进行希尔伯特变换(HT)处理后,将数据代入到对称泰勒加权最小二乘(STWLS)过程中进行信号参数估计,获取高精度基波参数值;最后,通过算法验证和实际电网信号的测试,表明所提装置的HT-STWLS算法能够实现配电网信号参数的高精度估计。

考虑相量量测单元数据不同步的双端输电线路正序以及零序参数辨识方法

针对相量量测单元(phasormeasurementunit,PMU)数据不同步导致参数辨识结果误差大的问题,提出了考虑PMU数据不同步的输电线路正序以及零序参数辨识方法。首先,分析线路集中参数模型和分布参数模型在一定电压等级下的长度适用范围。基于线路的集中参数模型,利用正常运行情况下PMU装置获取的线路两端功率以及电压信息,构建以正序参数和不同步角度为未知量的非线性方程,并运用Levenberg-Marquardt(L-M)算法求解正序参数以及不同步角度。其次,在辨识出正序参数以及不同步角度的基础上,分析单相接地故障情况下的正序、负序以及零序等效电路图,通过正序和负序网络求解出故障距离。在故障距离已知的情况下,基于零序网络构建以零序参数为未知量的方程,并利用L-M算法求解方程。最后,利用MATLAB软件搭建单回双端输电线路系统,并对所提正序以及零序参数辨识方法进行仿真,验证了所提参数辨识方法的有效性和精确性。

低压配电网用户相位识别方法研究

配电网由于负荷不均衡,会产生三相不平衡现象。该文提出一种用户相位识别和三相电流相位不平衡检测方法。该方法能够有效辨识同一台区下的用户相位,为用电信息采集和台区治理提供数据基础。考虑到电力信号的动态特性,首先借助泰勒级数来近似表示信号的时变相量;其次联立窗内每个数据点对应的关系方程,并通过最小二乘法求解出泰勒系数,得到精准的相量测量值,然后对用户与变压器处的相位分别进行相移与相位补偿;最后通过比较两者的相位差与所设阈值之间的关系实现用户相位归属关系识别。完成用户的相位识别之后,通过变压器低压侧三相电流的相位差值可判断配电网三相电流相位的不平衡情况,为配电网三相不平衡时的换相、电网重构等措施提供监测分析数据。仿真结果表明,文章所提方法在频率偏移条件下,可以实现台区用户相位的准确识别,而在谐波干扰条件下,识别成功率均高于90%。相比于传统的用户与变压器电压相关性分析方法,所提方法识别精度和鲁棒性均得到较大提升。

考虑PMU数据质量问题的电力系统扰动检测方法

快速准确的电力系统扰动检测能够为后续扰动分析提供有效的指导信息,而广域测量系统(wide area measurement system,WAMS)的广泛应用为扰动检测提供了有力的数据基础。基于PMU量测数据,该文提出一种考虑PMU不良数据的扰动事件检测方法。首先分析PMU异常数据行为特性,揭示扰动事件与不良数据的差异性特征。进一步,提出一种基于差分Teager-Kaiser能量算子与3Sigma准则相结合的PMU异常数据初筛方法,避免了低强度扰动漏检和扰动的重复检测问题。接着,利用动态时间规整和最大互信息系数分别计算不同PMU间的时空相似性,以及同一台PMU内不同量测间的相关性,并以此作为表征扰动事件和不良数据差异的特征。最后,通过局部离群概率算法对得到的综合度量指标进行分析,可实现在含有不良数据场景下的扰动事件准确检测。基于IEEE39系统,实际电网模型以及PMU实测数据,验证所提方法具有较好准确性、实时性以及泛化能力。

基于二阶罚函数自适应变阶拟合的全局电网惯量时空感知

随着传统同步发电机逐步被新能源发电替代,电力系统惯量不断降低,惯量时空评估对保障系统安全稳定运行愈加重要。首先,提出了基于二阶罚函数自适应变阶拟合的全局电网惯量时空感知方法;其次,基于同步相量测量单元(PMU)准确估测系统各空间节点的频率变化率及功率变化,采用二阶罚函数对PMU监测数据进行预处理,并对每段拟合数据的处理过程加以自适应变阶拟合;最后,通过两种方法的结合,可实现对电力系统广义节点惯量的时空感知。通过仿真案例分析,验证了所提方法在大、小扰动工况下对惯量时空评估的准确性及适用性。

基于有限个μPMU和压缩感知理论的主动配电网复故障定位方法

主动配电网(Active distribution network,ADN)动态行为相较传统电网更为复杂,亟需解决其故障检测和定位问题。针对配电网系统中微型同步相量测量装置(Micro phasor measurement unit,μPMU)的运用,提出基于有限个μPMU的复故障定位策略。首先,根据任意线路故障下全网可观的μPMU优化配置方案建立短路、断线故障线路等效模型,通过分析模型将电流故障分量等效至相邻两端节点形成虚拟注入电流向量。其次,利用压缩感知理论求解故障网络节点电压方程,根据重构电流向量中非零元素的位置得到可疑故障节点,并基于可疑故障节点及μPMU配置位置划分动态候选故障域。最后,先分别构建短路、断线区域判据,确定故障区间,再进一步根据区域两端推算电压构造线路判据,精确判断故障线路及类型。基于改进的IEEE 33节点配电网系统进行仿真分析,仿真结果表明,基于有限个μPMU的复故障定位策略是可行的,该策略能够有效判断故障的精确位置。

基于PMU梯度动态偏差的新型电力系统快速稳定性

在能源转型和科技进步双重推动下,高比例可再生能源和高比例电力电子设备正成为电力系统发展重要趋势和关键特征.新型电力系统动态行为随之发生重大变化,传统小干扰稳定性分析方法满足使用需要,在应对运行工况快速变化场合时尚存在亟需解决问题.提出基于同步相量测量装置(PMU)数据梯度动态偏差李雅普诺夫直接分析法对新型电力系统小干扰稳定性进行分析,利用PMU数据矩阵降维得到低维矩阵,代入含双馈异步风力发电机组的电力系统矩阵模型,求解李雅普诺夫方程式得到对角矩阵,通过判定矩阵正定性对系统稳定性作出判断.利用求解后得到的对角矩阵计算相应状态变量动态偏差值,对相应状态变量曲线使用梯度下降法迭代计算该曲线极值点数值,时间加权计算整个振荡过程时间加权动态偏差量,为阻尼稳定控制器配置位置提供指导.利用含风力发电新英格兰10机39节点系统仿真验证方法可以达到改善系统小干扰稳定性以及对新型电力系统快速稳定性分析的有效性.

基于混合量测的新能源电力系统动态频率预测方法

高渗透率新能源波动下系统动态频率预测是实现受端网络频率安全态势感知的基础。该文提出一种基于混合量测和物理状态方程联合驱动的新能源电力系统双向树状长短期记忆网络(combined equation-of-state-driven and data-driven bi-directional tree-struct long short term memory,CEOSD-BITREE-LSTM)动态频率预测方法。首先,引入双层多头注意力图神经网络,提出考虑同步相量测量单元(synchronous phasor measurement unit,PMU)和数据采集与监视控制系统装置(supervisory control and data acquisition,SCADA)量测差异性和时序同步性的混合量测融合策略;其次,依据PMU密集采样特性,建立计及源网荷物理联系的线性时变状态方程,刻画物理-数据空间的频率特征交互关系;然后,考虑新能源出力、负荷波动等不确定因素,结合以PMU并行搜索调频资源形成的拓扑结构,构建CEOSD-BITREE-LSTM动态频率预测模型,实现系统频率态势的高精度预测。最后,以改进新英格兰10机39节点、三区互联系统为算例,验证该文所提方法的可行性和有效性。

基于改进鲸鱼优化算法的同步相量测量单元多目标优化配置

针对因配电网节点数目多但投资成本少造成的同步相量测量单元(phasor measurement unit,PMU)供需不平衡问题,建立了考虑PMU配置个数、状态估计误差的PMU多目标优化配置模型,优化问题的目标是最小化所需的PMU个数和最小化状态估计误差。并提出一种改进鲸鱼优化算法来求解模型。首先引入非支配排序和拥挤度计算来选择并排序Pareto非支配解,保证算法求解全局最优值的能力,其次引入Levy飞行策略对鲸鱼优化算法的螺旋更新位置进行变异扰动,使算法不易陷入局部最优。最后,采用优化配置模型对IEEE 33标准节点系统进行仿真计算。结果表明,与遗传算法和粒子群算法相比,采用改进鲸鱼优化算法求解PMU多目标优化配置模型具有更高的可行性和有效性。

Optimal decision-making method for equipment maintenance to enhance the resilience of power digital twin system under extreme disaster

Digital twins and the physical assets of electric power systems face the potential risk of data loss and monitoring failures owing to catastrophic events,causing surveillance and energy loss.This study aims to refine maintenance strategies for the monitoring of an electric power digital twin system post disasters.Initially,the research delineates the physical electric power system along with its digital counterpart and post-disaster restoration processes.Subsequently,it delves into communication and data processing mechanisms,specifically focusing on central data processing(CDP),communication routers(CRs),and phasor measurement units(PMUs),to re-establish an equipment recovery model based on these data transmission methodologies.Furthermore,it introduces a mathematical optimization model designed to enhance the digital twin system’s post-disaster monitoring efficacy by employing the branch-and-bound method for its resolution.The efficacy of the proposed model was corroborated by analyzing an IEEE-14 system.The findings suggest that the proposed branch-and-bound algorithm significantly augments the observational capabilities of a power system with limited resources,thereby bolstering its stability and emergency response mechanisms.

阻抗模裕度指标在新能源多馈入系统静态电压稳定评估的适应性分析

集中送出的新能源场站大多位于电网末端,随着其有功出力的增加,易出现静态电压失稳。该文将传统的阻抗模指标的应用对象由负荷推广至新能源场站,丰富了该指标在静态电压稳定评估方面的适用性场景,包括含无功补偿的新能源系统、新能源集群馈入系统、以及新能源多机多馈入系统。具体地,首先,分析新能源单馈入系统的临界静态电压稳定条件,并据此给出用于评估新能源场站静态电压稳定性的阻抗模裕度指标及稳定判据;其次,通过将无功补偿设备并入系统阻抗,分析无功补偿对于指标的影响;再次,证明在新能源的集群馈入系统中,公共耦合点(point of common coupling,PCC)的电压失稳将发生在单个新能源场站之前,并据此确定PCC点作为指标的计算节点;之后,为考虑多机多馈入系统中不同新能源场站间的影响,在指标的计算过程中,保留待评估的关键新能源场站,将其他新能源场站等值为阻抗,并入节点阻抗矩阵中,实现方法在多机多馈入系统中的扩展应用。最后,基于PSD-BPA中建立的单机单馈入系统、多机多馈入系统、以及某省实际大电网算例验证指标的有效性。

Optimal Placement of Phasor Measurement Unit in Smart Grids Considering Multiple Constraints

The distribution of measurement noise is usually assumed to be Gaussian in the optimal phasor measurement unit(PMU)placement(OPP)problem.However,this is not always accurate in practice.This paper proposes a new OPP method for smart grids in which the effects of conventional measurements,limited channels of PMUs,zero-injection buses(ZIBs),single PMU loss contingency,state estimation error(SEE),and the maximum SEE variance(MSEEV)are considered.The SEE and MSEEV are both obtained using a robust t-distribution maximum likelihood estimator(MLE)because t-distribution is more flexible for modeling both Gaussian and non-Gaussian noises.The A-and G-optimal experimental criteria are utilized to form the SEE and MSEEV constraints.This allows the optimization problem to be converted into a linear objective function subject to linear matrix inequality observability constraints.The performance of the proposed OPP method is verified by the simulations of the IEEE 14-bus,30-bus,and 118-bus systems as well as the 211-bus practical distribution system in China.

基于线性最小二乘回归和PMU量测的输电线路参数估计分析方法

电力系统中的架空输电线路参数经常被用于故障定位保护算法、状态估计以及稳定性分析中,而同步相量测量技术能够在线估测电力系统的传输线路参数。提出了一种简单的基于线性最小二乘回归的线路参数的估测方法,其通过线路两端的相量测量单元的电压和电流数据进行正序线路参数估测。所提出的方法计算简单且不需要进行迭代,同时在两个不同电力系统中的四条不同线路中采集的实际相量数据进行了全面测试。测试结果表明:所提出的线路参数估测方法不仅计算简单,同时可以在不同的线路模型中可以快速准确地估测线路电抗和线路电纳,具有较强的通用性和可扩展性。