WAMs Based Eigenvalue Space Model for High Impedance Fault Detection

Abstract

High impedance faults present unique challenges for power system protection engineers. The first challenge is the detection of the fault, given the low current magnitudes. The second challenge is to locate the fault to allow corrective measures to be taken. Corrective actions are essential as they mitigate safety hazards and equipment damage. The problem of high impedance fault detection and location is not a new one, and despite the safety and reliability implications, relatively few efforts have been made to find a general solution. This work presents a hybrid data driven and analytical-based model for high impedance fault detection in distribution systems. The first step is to estimate a state space model of the power line being monitored. From the state space model, eigenvalues are calculated, and their dynamic behavior is used to develop zones of protection. These zones of protection are generated analytically using machine learning tools. High impedance faults are detected as they drive the eigenvalues outside of their zones. A metric called eigenvalue drift coefficient was formulated in this work to facilitate the generalization of this solution. The performance of this technique is evaluated through case studies based on the IEEE 5-Bus system modeled in Matlab. Test results are encouraging indicating potential for real-life applications.

Proactive Frequency Stability Scheme: A Distributed Framework Based on Particle Filters and Synchrophasors

“…The sampling rates and synchronization of PMUs make it possible to utilize system identification algorithms to estimate power system parameters [29]. One such approach, subspace estimation, has delivered encouraging results in power systems applications [36][37][38]. This work adopts an H estimation approach presented in [39], where H is estimated online from frequency and power measurements.…”

Distributed MPC Method for Power Systems Frequency Control: A Particle Filter Integrated Model for Uncertainty Quantification

“…With these limitations in mind, 30 fps seems to offer a balance between practicality, and estimation accuracy. Estimation across multiple sampling rates are performed in [23], with 30 fps delivering an acceptable performance relative to higher sampling rates. Moreover, high frequency signals are not typically studied in frequency stability applications.…”

“…The sampling rates and synchronisation of PMUs make it possible to utilize system identification algorithms to estimate power system parameters [22]. One such approach, subspace estimation, has delivered encouraging results in power systems applications [23,32,33]. This work adopts an H estimation approach presented in [34], where H is estimated online from frequency and power measurements.…”

Eigenproblem Basics and Algorithms

“…In electric circuits, high impedance faults can be identified by inspecting the eigenvalue space of the circuit [111]. Thus, stability analysis can rely on the calculation of the eigenvalues [112].…”