Determination of Total Vector Error of the Phasor Measurement Unit (PMU) Using the Phase Angle Error of a Constant Amplitude Voltage Signal

This paper investigates the effect of the Phase Angle Error of a Constant Amplitude Voltage signal in determining the Total Vector Error (TVE) of the Phasor Measurement Unit (PMU) using MATLAB/Simulink. The phase angle error is measured as a function of time in microseconds at four points on the IEEE 14-bus system. When the 1 pps Global Positioning System (GPS) signal to the PMU is lost, sampling of voltage signals on the power grid is done at different rates as it is a function of time. The relationship between the PMU measured signal phase angle and the sampling rate is established by injecting a constant amplitude signal at two different points on the grid. In the simulation, 64 cycles per second is used as the reference while 24 cycles per second is used to represent the fault condition. Results show that a change in the sampling rate from 64 bps to 24 bps in the PMUs resulted in phase angle error in the voltage signals measured by the PMU at four VI Measurement points. The phase angle error measurement that was determined as a time function was used to determine the TVE. Results show that (TVE) was more than 1% in all the cases.

PalmPhasor算法性能的理论分析

模板的安全性和隐私性是掌纹系统实际应用的关键问题,然而生物特征保护的多项指标通常相互冲突并且难以同时满足.作为解决上述冲突的一种可撤销掌纹编码算法,Palm Phasor实现了高效、安全的掌纹认证.建立了系统分析Palm Phasor性能的完整框架.为了便于具体分析,将情景分为4种情况,并且提供了支持相应分析的预备知识,包括辅助定理以及Gabor滤波掌纹图像实部和虚部分布特性.在统计学基础上建立的理论分析和实验结果均表明:即使在用户口令被盗的情况下,多方向分数级融合增强的Palm Phasor算法也可以同时有效地满足可撤销生物特征的4项指标.

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.

Phasor Control of Converter Output Voltage for Frequency Regulation

The synchronizing torque of a power system may be weakened by increasing installation of static power converters accompanied by renewable energy resources because they used to trade their favorable active power by synchronizing their output voltage with the one at the point of common coupling. In the circumstances, a concept of Virtual Synchronous Machine (VSM) is proposed, where the self-commutated power converters are emulating synchronous generators. This paper describes a converter control to contribute to enhancing the synchronizing torque. The proposed control is similar to the VSM but it simply realizes active power trades among power generation units including converter-based generators by modulating phase angles of their output voltages. Therefore, it can provide an effective support to regulate the system frequency where the total rated power of the converter-based generators increases as much as the one of conventional rotating generators like a microgrid. This paper especially focuses on its robustness where the number of converter-based generators is increased or they are dispersed in the power network. The effectiveness is verified by simulation study based on instantaneous values.

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.

Dynamic phasor-based hybrid simulation for multi-inverter grid-connected system

To realize the efficient transient simulation of a grid-connected power generation system based on multiple inverters, this paper proposes a hybrid simulation method integrating the models of electromagnetic transient and dynamic phasors. Based on a demonstration of the concepts and properties of dynamic phasors, the models of single-phase and three-phase inverters described by dynamic phasors are established first. Considering the numerical compatibility problem between dynamic phasors and instantaneous values, an interface scheme between dynamic phasors and instantaneous values is designed, and the efficiency and precision differences of various transformation methods are compared in detail.Finally, by utilizing MATLAB/Simulink, a hybrid simulation platform of a multi-inverter grid-connected system is built, and the efficiency and accuracy of the hybrid simulation are validated via comparison with the full electromagnetic transient simulation.

Fault Characterization Based on Synchrophasor Data Using Heuristic Approach

With the advent of phasor measurement unit (PMU) technology, the grid observability has got a new dimension. This facet of technology helps in getting the real-time and dynamic scenario of the grid operations which was a remote possibility some decades before. Achieving this level of observability puts us at an advantage of responding to the system faults with reduced response time, and helps in restoring the grid stability within fraction of second. This paper demonstrates the detailed fault characterization from the PMU inputs, after illustrations from various real-time examples and different faults occurred in India. This paper tries to shed some light on areas where the accurate fault characterization can help the operator in taking the right decision for reliable grid operations.

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.

基于动态相量的LCC-HVDC输电系统等值技术评述

立足于逆变侧换流站受端交流母线看向送端的基于电网换相换流器的高压直流输电(high-voltagedirectcurrent basedlinecommutedconverter,LCC-HVDC)系统的单端等值,对于优化设计继电保护、安稳控制和直流控保具有重要意义。为了同时获取计算的高精确性和实时性,动态相量模型以牺牲较低的仿真精度换取计算速度的提升,是实现LCC-HVDC输电线路双端等值的重要方式,但是用于LCCHVDC输电系统单端等值还存在难以平衡等值精度和计算速度的问题。针对该问题,该文分析了基于动态相量的LCCHVDC输电系统等值的应用价值、需求及难点,分别从等值计算模型中的提前触发角计算、换相重叠角计算、换相失败的判别及其对开关函数的影响和信号调制等4个因素评述现有研究现状及存在的问题,并提出了后续的研究建议。

经LCC-HVDC输电送出系统单端混合等值计算

现有电网换相换流器型高压直流输电(line commutated converter based HVDC,LCC-HVDC)输电系统动态等值计算依赖于送受端电压同步实时量测,无法实现经LCC-HVDC输电送出系统的单端暂态等值计算。论文基于直流系统动态相量等值计算框架,提出仅基于逆变侧单端交流电压信息的经LCC-HVDC直流输电送出系统的等值计算方案,论证整流侧准稳态模型+逆变侧动态相量模型的混合等值计算框架的可行性,解决换相失败准确判别等关键问题,仿真对比分析了多场景故障,证明所提出的计算框架在送端交流系统信息缺失的情况下,能实现受端交流线路故障暂态大扰动下经LCC-HVDC输电送出系统响应的准确实时计算。

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.

引入相量算子和流向算子的天鹰优化算法

针对天鹰优化算法搜索效率不足,容易陷入局部最优的缺点,提出多策略改进天鹰优化算法(MIAO).引入广义正态分布优化算法(GNDO),将该算法得出的结果与天鹰优化算法第1阶段得出的结果进行比较,筛选出这2种优化算法下的最优值.该操作扩大了搜索空间,提高了解的质量.引入相量算子,将第2阶段变为自适应的非参数优化,提高算法的高维优化能力.针对天鹰优化算法在迭代后期存在种群多样性降低、局部开发能力不足的问题,在天鹰算法的第3阶段引入流向算子,使信息可以在每个个体间相互传递,提高种群信息的利用率,增强天鹰优化算法的开发性能.通过对16个测试函数寻优对比分析以及Wilcoxon秩和检验可知,MIAO的寻优能力和收敛速度都有较大的提升.为了验证MIAO算法的实用性和可行性,采用所提算法求解减速器设计问题,通过实际工程优化问题的实验对比分析可知,MIAO算法在处理现实优化问题上具有一定的优越性.

线圈电势求取过程中两种标注方法的比较

比较了线圈电势求取过程中标注电势的两种方法,指出正向旁边标注电势的瞬时值是恰当的,标注电势的相量是不恰当的。详细摘要请见结语。

配电变压器三相不平衡附加损耗量化分析

配电网变压器三相不平衡附加损耗的计算由于缺乏对铁耗等的全面分析而精度不高。考虑到损耗治理依赖于精确有效的损耗数据,故提出计及铁耗变化的配电变压器三相不平衡附加损耗计算方法。利用磁动势平衡方程式来分析励磁磁动势和主磁通的产生过程,以建立励磁电流与一、二次侧相电流的关系。根据配电变压器的绕组联结方式建立正序、负序和零序等值电路模型,给出三相不平衡下的附加损耗计算方法。仿真测试结果表明,与现有方法相比,所提附加损耗计算方法能够量化反映三相不平衡对变压器损耗产生的影响,在不同负荷率和不同励磁阻抗参数条件下均具有更低的计算误差。

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。

基于动态相量法的地铁牵引整流机组谐波传递研究

牵引整流机组在运行过程中具有非线性时变特性,对谐波扰动的传递作用导致其交直流侧的谐波交互影响,成为威胁地铁牵引供电系统安全稳定的潜在隐患。为揭示牵引整流机组交直流侧谐波传递的内在机理,采用基于动态相量表达的电压、电流开关函数描述牵引整流机组的非线性时变特性,分析整流变压器不同连接方式对开关函数的影响,给出开关函数的各阶动态相量计算式。以调制理论为框架,采用基于动态相量的矩阵运算进行牵引整流机组谐波传递计算,包括交流侧谐波电压传递和直流侧谐波电流传递,模拟牵引整流机组谐波传递过程,明确了谐波频率的变换关系。通过与PSCAD/EMTDC中详细电磁暂态仿真结果进行对比,验证了该方法的正确性和有效性,可为滤波装置参数设计与谐波抑制策略制定提供参考。

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。

融合多源量测数据的区间型抗差谐波状态估计

在相量测量单元(PMU)配置数量不足以满足谐波状态估计的可观性条件时,可将电能质量监测装置(PQMD)作为数据补充源。该文针对多源量测数据存在的同步性差异和量测偏差等问题,提出一种融合PMU与PQMD量测数据的区间型抗差谐波状态估计方法。首先,根据PQMD检测起始时刻不同步的特征,提出基于重叠度指标的PMU与PQMD量测数据融合方法;其次,采用量测变换从PQMD功率量测数据得到等效电流相量量测,构建区间型混合量测全集;再次,采用投影统计法和改进Huber权函数计算量测权重,对重叠度低且残差大的量测赋予较小的权重以抑制量测偏差的影响,并根据权重大小优选测点,得到非同步量测偏差最小的量测子集;最后,通过迭代重加权最小二乘法求解状态估计模型,在IEEE 30系统验证了该文所提方法的可行性与有效性。

一种基于圆周运动轨迹方程的电力系统基波频率测量方法

随着新能源的大规模接入,系统惯量降低,电力系统的频率波动变得剧烈,增加了频率准确测量的难度,而频率的测量精度直接关系着电力系统各类基于频率控制应用的有效性。因此,该文从圆周运动角度,提出了一种新颖的频率精确测量方法。该方法建立了电力系统电压信号正弦变化的旋转相量圆周运动表征模型,基于匀速圆周运动和变速圆周运动的轨迹运动方程,推导了旋转相量及其导数与系统频率之间的函数关系;利用二次多项式拟合电压信号动态变化的幅值和相角,提出了基于最小二乘法的旋转相量及其导数求解方法,进一步,提出了基于频率网格化的迭代优化方法,消除了频率偏移对算法的影响。仿真和硬件测试表明,所提算法在频率偏移、线性和非线性变化条件下均能准确地测量基波频率。