Distance Relays Based on the Taylor–Kalman-Fourier Filter

This paper proposes the use of a second order Taylor-Kalman-Fourier filter for reliable estimation of current and voltage phasors and their application for distance relays in order to estimate the line's impedance. The proposed filter improves the relay's steady-state and transient responses, with respect to the well-known discrete Fourier transform, which is the most used tool in transmission line protection and in phasor measurement units. Three-phase and single-phase simulations are carried out in order to assess the proposed application.

[1]  E. O. Schweitzer,et al.  Filtering for protective relays , 1993, IEEE WESCANEX 93 Communications, Computers and Power in the Modern Environment - Conference Proceedings.

[2]  José Antonio de la O. Serna,et al.  Taylor–Kalman–Fourier Filters for Instantaneous Oscillating Phasor and Harmonic Estimates , 2012, IEEE Transactions on Instrumentation and Measurement.

[3]  José Antonio de la O. Serna,et al.  Dynamic Phasor Estimates for Power System Oscillations , 2007, IEEE Transactions on Instrumentation and Measurement.

[4]  Adly Girgis,et al.  Application of Kalman Filtering in Computer Relaying , 1981, IEEE Transactions on Power Apparatus and Systems.

[5]  K. E. Martin,et al.  Improving phasor measurements under power system oscillations , 2003 .

[6]  M.S. Sachdev,et al.  Kalman Filtering Applied to Power System Measurements Relaying , 1985, IEEE Transactions on Power Apparatus and Systems.

[7]  Adly A. Girgis,et al.  Analysis of high-impedance fault generated signals using a Kalman filtering approach , 1990 .

[8]  J. A. de la O Serna.  Dynamic phasor estimates for power system oscillations and transient detection , 2006 .

[9]  Jyh-Cherng Gu,et al.  Removal of DC offset in current and voltage signals using a novel Fourier filter algorithm , 2000 .

[10]  A.M. Stankovic,et al.  Analysis and implementation of model-based linear estimation of dynamic phasors , 2004, IEEE Transactions on Power Systems.

[11]  Hector J. Altuve,et al.  FOURIER AND WALSH DIGITAL FILTERING ALGORITHMS FOR DISTANCE PROTECTION , 1996 .

[12]  Soon-Ryul Nam,et al.  An Analytic Method for Measuring Accurate Fundamental Frequency Components , 2002 .

[13]  H. J. Altuve Ferrer,et al.  Fourier and Walsh digital filtering algorithms for distance protection , 1996 .

[14]  A. Girgis,et al.  A digital recursive measurement scheme for online tracking of power system harmonics , 1991 .

[15]  Udaya Annakkage,et al.  A current transformer model based on the Jiles-Atherton theory of ferromagnetic hysteresis , 2000 .

[16]  José Antonio de la O. Serna,et al.  Dynamic Phasor Estimates Under the Bellman's Principle of Optimality: The Taylor-LQG-Fourier Filters , 2013, IEEE Transactions on Instrumentation and Measurement.

[17]  Mladen Kezunovic,et al.  Splified Algorithms for Removal of the Effect of Exponentially Decaying DC Offset on the Fourirer Algorithm , 2002, IEEE Power Engineering Review.

[18]  T. Aydin,et al.  Analysis of asymmetrical faults in power systems using dynamic phasors , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[19]  Arun G. Phadke,et al.  Synchronized Phasor Measurements and Their Applications , 2008 .

[20]  D.G. Hart,et al.  Application of Kalman filtering on a vector signal processor , 1991, [1991 Proceedings] The Twenty-Third Southeastern Symposium on System Theory.

[21]  Adly Girgis,et al.  A New Kalman Filtering Based Digital Distance Relay , 1982, IEEE Transactions on Power Apparatus and Systems.

[22]  G. Benmouyal,et al.  Removal of DC-offset in current waveforms using digital mimic filtering , 1995 .

[23]  José Antonio de la O. Serna,et al.  Synchrophasor Estimation Using Prony's Method , 2013, IEEE Transactions on Instrumentation and Measurement.

[24]  Johnny Rodríguez Maldonado.  Instantaneous us estimation of oscillating phasors with Taylor κ - Kalman-Fourier filters , 2011 .

[25]  J. R. Lucas,et al.  Representation of Magnetisation Curves over a Wide Region Using a Non-Integer Power Series , 1988 .

[26]  A.G. Phadke,et al.  Synchronized Phasor and Frequency Measurement Under Transient Conditions , 2009, IEEE Transactions on Power Delivery.

[27]  J. A. de la O Serna,et al.  Instantaneous Oscillating Phasor Estimates With Taylor$^K$-Kalman Filters , 2011, IEEE Transactions on Power Systems.