Enhancing Kalman Filter for Tracking Ringdown Electromechanical Oscillations

Ringdown detection methods like Kalman filter and Prony analysis have been developed to aid transmission operators to track lightly-damped inter-area oscillations. Kalman filter detection is dependent on a priori system knowledge and is designed to monitor the dominant mode. The objective of this paper is to extend Kalman filter to track multiple modes. Thus, extended complex Kalman filter (ECKF) based procedure is formulated and assessed. While retaining the recursive Kalman filter engine, the proposed method redefines the state variable representation to directly estimate the modal parameters instead of using the existing polynomial rooting approach. It also integrates Hankel singular value decomposition (HSVD) to provide better estimates of the initial conditions.

[1]  K. Arun,et al.  State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem , 1983 .

[2]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[3]  K.-C. Lee,et al.  Analysis of transient stability swings in large interconnected power systems by Fourier transformation , 1988 .

[4]  J. F. Hauer,et al.  Initial results in Prony analysis of power system response signals , 1990 .

[5]  Chung-Liang Chang,et al.  Oscillatory stability analysis using real-time measured data , 1993 .

[6]  P. Kundur,et al.  Power system stability and control , 1994 .

[7]  Daniel J. Trudnowski,et al.  Initial results in electromechanical mode identification from ambient data , 1997 .

[8]  N. W. Miller,et al.  Identifying linear models from time domain simulations , 1997 .

[9]  Kiyoshi Nishiyama,et al.  A nonlinear filter for estimating a sinusoidal signal and its parameters in white noise: on the case of a single sinusoid , 1997, IEEE Trans. Signal Process..

[10]  Ganapati Panda,et al.  Frequency estimation of distorted power system signals using extended complex Kalman filter , 1999 .

[11]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[12]  J. F. Hauer,et al.  Making Prony analysis more accurate using multiple signals , 1999 .

[13]  Gerard Ledwich,et al.  Modal estimates from normal operation of power systems , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[14]  O. Malik,et al.  Wavelet-Based Scheme for Detection of Torsional Oscillation , 2002, IEEE Power Engineering Review.

[15]  J. W. Pierre,et al.  Use of ARMA Block Processing for Estimating Stationary Low-Frequency Electromechanical Modes of Power Systems , 2002, IEEE Power Engineering Review.

[16]  A.R. Messina,et al.  Interpretation and Visualization of Wide-Area PMU Measurements Using Hilbert Analysis , 2006, IEEE Transactions on Power Systems.

[17]  Xiaorong Xie,et al.  WAMS applications in Chinese power systems , 2006 .

[18]  Jun-Zhe Yang,et al.  A Hybrid Method for the Estimation of Power System Low-Frequency Oscillation Parameters , 2007, IEEE Transactions on Power Systems.

[19]  Christian Rehtanz,et al.  Wide area monitoring and control for transmission capability enhancement , 2007 .

[20]  Petr Korba Real-time monitoring of electromechanical oscillations in power systems: first findings , 2007 .

[21]  G. Ledwich,et al.  A Kalman Filtering Approach to Rapidly Detecting Modal Changes in Power Systems , 2007, IEEE Transactions on Power Systems.

[22]  J. Quintero,et al.  Oscillation monitoring system based on wide area synchrophasors in power systems , 2007, 2007 iREP Symposium - Bulk Power System Dynamics and Control - VII. Revitalizing Operational Reliability.

[23]  Ning Zhou,et al.  Robust RLS Methods for Online Estimation of Power System Electromechanical Modes , 2007, IEEE Transactions on Power Systems.

[24]  K. Martin,et al.  Phasing in the Technology , 2008, IEEE Power and Energy Magazine.

[25]  W. Mittelstadt,et al.  Electromechanical Mode Online Estimation Using Regularized Robust RLS Methods , 2008, IEEE Transactions on Power Systems.

[26]  Ning Zhou,et al.  Performance of Three Mode-Meter Block-Processing Algorithms for Automated Dynamic Stability Assessment , 2008, IEEE Transactions on Power Systems.

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

[28]  Jian Zhang,et al.  Parameter estimation of exponentially damped sinusoids using HSVD based extended complex Kalman filter , 2008, TENCON 2008 - 2008 IEEE Region 10 Conference.

[29]  Arturo Roman Messina,et al.  Inter-area Oscillations in Power Systems: A Nonlinear and Nonstationary Perspective , 2009 .

[30]  P. Korba,et al.  Nonlinear damping computation and envelope detection using Hilbert transform and its application to power systems wide area monitoring , 2009, 2009 IEEE Power & Energy Society General Meeting.

[31]  Pradipta Kishore Dash,et al.  Fast Tracking of Power Quality Disturbance Signals Using an Optimized Unscented Filter , 2009, IEEE Transactions on Instrumentation and Measurement.

[32]  Nirmal-Kumar C Nair,et al.  Comparative assessment of Kalman Filter and Prony Methods for power system oscillation monitoring , 2009, 2009 IEEE Power & Energy Society General Meeting.

[33]  K. M. EL-Naggar On-line measurement of low-frequency oscillations in power systems , 2009 .

[34]  Jian Zhang,et al.  Detection of lightly damped inter-area power oscillations using extended complex Kalman Filter , 2009, TENCON 2009 - 2009 IEEE Region 10 Conference.

[35]  Arturo Roman Messina,et al.  Inter-area Oscillations in Power Systems , 2009 .

[36]  Nina F. Thornhill,et al.  Comparative review of methods for stability monitoring in electrical power systems and vibrating structures , 2010 .

[37]  I Kamwa,et al.  Robust Detection and Analysis of Power System Oscillations Using the Teager-Kaiser Energy Operator , 2011, IEEE Transactions on Power Systems.