Assessing Gaussian Assumption of PMU Measurement Error Using Field Data

Gaussian phasor measurement unit (PMU) measurement error has been assumed for many power system applications, such as state estimation, oscillatory modes monitoring, voltage stability analysis, to cite a few. This letter proposes a simple yet effective approach to assess this assumption by using the stability property of a probability distribution and the concept of redundant measurement. Extensive results using field PMU data from WECC system reveal that the Gaussian assumption is questionable.

• Publication year

  2018

• Venue

  IEEE Transactions on Power Delivery

• Publication date

  2018-12-01

• Fields of study

  Physics, Computer Science, Engineering

• Identifiers
  DOI 10.1109/TPWRD.2017.2762927
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A Robust Iterated Extended Kalman Filter for Power System Dynamic State Estimation

  2017cited by this paper
• Characterizing and quantifying noise in PMU data

  2016cited by this paper
• Generator dynamic model validation and parameter calibration using phasor measurements at the point of connection

  2013cited by this paper
• Extracting steady state values from phasor measurement unit data using FIR and median filters

  2009cited by this paper
• Testing For Normality

  2002cited by this paper
• Voltage Stability Protection and Control Using a Wide Area Network of Phasor Measurements

  2002cited by this paper
• De-noising by soft-thresholding

  1995cited by this paper
• An Analysis of Variance Test for Normality (Complete Samples)

  1965cited by this paper

• Decentralized Dynamic Parameter Identification of Modern Power Systems Using Ambient Measurements

  2026cites this paper
• A State Estimation Framework for Mitigating Non-Gaussian Noise and Integrating Correlation

  2026cites this paper
• An Adaptive Robust Square Root Unscented Kalman Filter for Forecasting Aided State Estimation in Power Systems

  2025cites this paper
• Damping Electromechanical Oscillations Using Data-Driven Control Applied to Embedded HVDC Links

  2025cites this paper
• Oscillation Mode Identification in Converter-based Offshore System using Dynamic Mode Decomposition

  2025cites this paper
• Hardware-in-the-Loop validation of PMU-based metrics for transmission network analysis

  2025cites this paper
• Active Learning of Microgrid Frequency Dynamics Using Neural Ordinary Differential Equations

  2025cites this paper
• Low-Observability Distribution System State Estimation by Graph Computing with Enhanced Numerical Stability

  2025cites this paper
• Generative AI applied for synthetic data in PMU

  2025cites this paper
• SimProcess: High Fidelity Simulation of Noisy ICS Physical Processes

  2025cites this paper
• Comprehensive analysis of admittance matrix estimation considering different noise models

  2025cites this paper
• Securing FACTS-Based Wide Area Damping Controllers Using Modified Conditional Generative Adversarial Networks

  2025cites this paper
• Intelligent Robust Dynamic State Tracking of Power Systems Under Outliers and Missing Data

  2025cites this paper
• Learning Power Flow Models and Constraints From Time-Synchronized Measurements: A Review

  2024cites this paper
• Thévenin Equivalent Parameters Identification Based on Statistical Characteristics of System Ambient Data

  2024cites this paper
• Forecasting-Aided Voltage Estimation for Distribution Network Considering the Integrated Management of Virtual Power Plants Platform

  2024cites this paper
• A Dynamic State Estimation Application for Stability and Uncertainty Mitigation in Smart Grids

  2024cites this paper
• A survey on recent advances on dynamic state estimation for power systems

  2024cites this paper
• High-Fidelity Dataset Generation for Sensor Anomalies in Power Grids using Hardware-in-the-Loop Testbed

  2024cites this paper
• Identification of inertia constants using time-domain vector fitting

  2024cites this paper
• Phasor Measurement Unit-Driven Estimation of Transmission Line Parameters Using Variable Noise Model

  2024cites this paper
• Real-time transient stability early warning system using Graph Attention Networks

  2024cites this paper
• A Comprehensive Survey on Enabling Techniques in Secure and Resilient Smart Grids

  2024cites this paper
• Power System Adaptive State Estimation in Unknown Measurement Environment

  2024cites this paper
• Consensus + Innovations Approach for Online Distributed Multi-Area Inertia Estimation

  2024cites this paper
• Automatic processing of dynamic responses via wavelet transform for the development of dynamic equivalent models

  2024cites this paper
• Ambient-Frequency-Data Based System-Level Inertia Estimation Using Physical Equation and its Practice on Hawaii Islands

  2024cites this paper
• Secure Particle Filtering With Paillier Encryption–Decryption Scheme: Application to Multi-Machine Power Grids

  2024cites this paper
• Assessment on power systems non-deterministic state estimation algorithms

  2023cites this paper
• On Scaling Robust Feedback Control and State Estimation Problems in Power Networks

  2023cites this paper
• Gaussian Mixture Models and its Parameter Estimation to Describe the Distributions of PMU Random Errors in Power Systems

  2023cites this paper
• Robust Learning-Assisted Data-Driven Congestion Management via Sparse Sensitivity Estimation

  2023cites this paper
• Robust Dynamic State Estimation for DFIG via the Generalized Maximum Correntropy Criterion Ensemble Kalman Filter

  2023cites this paper
• Anomaly Detection in Power System State Estimation: Review and New Directions

  2023cites this paper
• A Multi-Agent Approach for Solving the Power Distribution State Estimation in the Context of micro-PMUs

  2023cites this paper
• Adaptive Divided Difference Filter for Power Systems Dynamic State Estimation With Outliers and Unknown Noise Covariance

  2023cites this paper
• A Statistical Investigation of PMU Errors in Current Measurements

  2023cites this paper
• Proactive Frequency Stability Scheme: A Distributed Framework Based on Particle Filters and Synchrophasors

  2023cites this paper
• Recursive Dynamic State Estimation for Power Systems with an Incomplete Nonlinear DAE Model

  2023cites this paper
• Decentralized dynamic state estimation for multi-machine power systems with non-Gaussian noises: Outlier detection and localization

  2023cites this paper
• An Agent-Based Distributed State Estimation Approach for Interconnected Power Systems

  2023cites this paper
• Robust Expectation-Maximization-Based Secondary Voltage Control Scheme Considering Stochastic Measurement Error

  2023cites this paper
• Three Phase Current Transformer Calibration Without External Reference IT Using Synchrophasors: An SVD Approach

  2023cites this paper
• Exact Modeling of Non-Gaussian Measurement Uncertainty in Distribution System State Estimation

  2023cites this paper
• Data-Driven Boundary Regression for Equivalent Identification of External Parameters in Steady-State Models of Power Systems

  2023cites this paper
• Robust Power System State Estimation Method Based on Generalized M-Estimation of Optimized Parameters Based on Sampling

  2023cites this paper
• Analysis of Ultra-Low Frequency Oscillation in Hydro-Dominant Power System and Suppression Strategy by GPSS

  2023cites this paper
• Proactive and Automatic Underfrequency Load Shedding via PMUs and Particle Filters

  2023cites this paper
• Extended kernel Risk-Sensitive loss unscented Kalman filter based robust dynamic state estimation

  2023cites this paper
• Robust Decentralized Dynamic State Estimation Considering Instrumentation Chain Anomalies

  2023cites this paper
• Robust forecasting-aided state estimation of power system based on extended Kalman filter with adaptive kernel risk-sensitive loss

  2023cites this paper
• Constrained sensor placement and state reconstruction in power systems from partial system observations

  2023cites this paper
• Observability Analysis and State Estimation of Distribution Network

  2023cites this paper
• Transformer-based deep learning model for forced oscillation localization

  2023cites this paper
• Robust Data-Driven Sparse Estimation of Distribution Factors Considering PMU Data Quality and Renewable Energy Uncertainty - Part I: Theory

  2023influential citation
• Adaptive Data Recovery Model for PMU Data Based on SDAE in Transient Stability Assessment

  2022cites this paper
• A Multiarea State Estimation for Distribution Networks Under Mixed Measurement Environment

  2022cites this paper
• Recursive minimum kernel risk sensitive loss algorithm with adaptive gain factor for robust power system s estimation

  2022cites this paper
• Application of Physics-Informed Machine Learning Techniques for Power Grid Parameter Estimation

  2022cites this paper
• Student’s t-Kernel-Based Maximum Correntropy Kalman Filter

  2022cites this paper
• Observers for Differential Algebraic Equation Models of Power Networks: Jointly Estimating Dynamic and Algebraic States

  2022cites this paper
• Maximum Correntropy with Variable Center Unscented Kalman Filter for Robust Power System State Estimation

  2022cites this paper
• Dual Set-Membership State Estimation for Power Distribution Networks Under Event-Triggered Mechanism

  2022cites this paper
• Dynamic State Estimation of Nonlinear Differential Algebraic Equation Models of Power Networks

  2022cites this paper
• A wide-area nodal frequency estimation and tracking approach

  2022cites this paper
• Optimal placement of distribution-level synchrophasor sensors for distribution system

  2022cites this paper
• Transmission Line Parameter Estimation Under Non-Gaussian Measurement Noise

  2022cites this paper
• PMU-based dynamic state and parameter estimation for dynamic security assessment in power systems - Ultimate boundedness in the presence of measurement noise

  2022cites this paper
• Chirp Z-Transform-Based Dynamic Phasor Estimator suitable for Phasor Measurement Units in Electric Grid

  2022cites this paper
• Pmu-Based Real-Time Distribution System State Estimation Considering Anomaly Detection, Discrimination and Identification

  2022cites this paper
• Statistical Behavior of PMU Measurement Errors: An Experimental Characterization

  2022influential citation
• Synchrophasors-based Master State Awareness Estimator for Cybersecurity in Distribution Grid: Testbed Implementation & Field Demonstration

  2022cites this paper
• Voltage-State Estimation in Non-Gaussian Noisy Environments

  2022cites this paper
• Koopman Kalman Particle Filter for Dynamic State Estimation of Distribution System

  2022cites this paper
• Wavelet-based Automatic Processing of Dynamic Responses for the Development of Dynamic Load Models

  2022cites this paper
• Non-Parametric Statistical Analysis of Current Waveforms through Power System Sensors

  2022cites this paper
• Data-Driven Flow and Injection Estimation in PMU-Unobservable Transmission Systems

  2022cites this paper
• Feasibility of Instrument Transformer Calibration using PMU Data based upon Innovation Approach

  2022cites this paper
• A Hybrid Framework for Detecting and Eliminating Cyber-Attacks in Power Grids

  2021cites this paper
• Optimal Placement of PMU in Distribution Systems Considering State Estimation Error

  2021cites this paper
• Data-Driven Detection and Identification of IoT-Enabled Load-Altering Attacks in Power Grids

  2021cites this paper
• Power System Dynamic State and Parameter Estimation-Transition to Power Electronics-Dominated Clean Energy Systems

  2021cites this paper
• IEEE Task Force on Dynamic State and Parameter Estimation

  2021cites this paper
• Real-time robust forecasting-aided state estimation of power system based on data-driven models

  2021cites this paper
• Influence of autoregressive noise on phasor data based disturbance classification

  2021cites this paper
• Diesel Generator Model Development and Validation using Moving Horizon Estimation

  2021cites this paper
• Novel trends in resilience assessment of a distribution system using synchrophasor application: A literature review

  2021cites this paper
• Robust Topology Detection of Distribution Network

  2021cites this paper
• Three-Phase State Estimation of a Low-Voltage Distribution Network with Kalman Filter

  2021cites this paper
• A distributed robust state estimation algorithm for power systems considering maximum exponential absolute value

  2021cites this paper
• A Distributed Robust Power System State Estimation Approach Using $t$-Distribution Noise Model

  2021cites this paper
• A Complex Variable Perturbed Gauss-Newton Method for Tracking Mode State Estimation

  2021cites this paper
• Power System State Estimation Based on PMU Under Linear Bayesian Theory

  2021cites this paper
• Real-Time Estimation of Microgrid Inertia and Damping Constant

  2021cites this paper
• Interval State Estimation in Active Distribution Systems Considering Multiple Uncertainties

  2021cites this paper
• A Comparison of Data-Driven Techniques for Power Grid Parameter Estimation

  2021cites this paper
• Evaluation of Probing Signals for Implementing Moving Horizon Inertia Estimation in Microgrids

  2021cites this paper
• Machine-Learning-based Advanced Dynamic Security Assessment: Prediction of Loss of Synchronism in Generators

  2021cites this paper
• Power Distribution System Synchrophasor Measurements With Non-Gaussian Noises: Real-World Data Testing and Analysis

  2021cites this paper
• A Distributed Maximum-Likelihood-Based State Estimation Approach for Power Systems

  2021cites this paper