Power system modal analysis tool developed for industry use

Common power system disturbances are characterized by oscillations that either damp out, sustain or grow. This oscillatory response can be measured and analyzed to extract modal information of the system. A previous paper by the authors examined the modal content of data with an approach motivated by the theory of normal form analysis. This paper reports on significant advancements made since that time. The primary advancement has been the inclusion of a variable projection nonlinear optimization technique. A user-friendly tool has recently been developed and tested by power industry members for analysis of real power system data. This paper details practical issues associated with this modal analysis tool, including solve-time speeds, initial condition estimation, model order selection and data-detrending.

[1]  B. C. Lesieutre,et al.  Determining power system modal content of data motivated by normal forms , 2012, 2012 North American Power Symposium (NAPS).

[2]  Tapan K. Sarkar,et al.  Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise , 1990, IEEE Trans. Acoust. Speech Signal Process..

[3]  Rodney Jaramillo,et al.  Stability Analysis of a Variant of the Prony Method , 2012 .

[4]  N.-K.C. Nair,et al.  Effects of sampling in monitoring power system oscillations using on-line Prony analysis , 2008, 2008 Australasian Universities Power Engineering Conference.

[5]  G. Golub,et al.  Separable nonlinear least squares: the variable projection method and its applications , 2003 .

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

[7]  Gordon K. Smyth,et al.  A Modified Prony Algorithm for Exponential Function Fitting , 1995, SIAM J. Sci. Comput..

[8]  Gene H. Golub,et al.  The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate , 1972, Milestones in Matrix Computation.

[9]  Linda Kaufman,et al.  A Variable Projection Method for Solving Separable Nonlinear Least Squares Problems , 1974 .

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

[11]  M. A. Johnson,et al.  Prony analysis and power system stability-some recent theoretical and applications research , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[12]  Dianne P. O'Leary,et al.  Variable projection for nonlinear least squares problems , 2012, Computational Optimization and Applications.

[13]  Mariesa L. Crow,et al.  Comparison of Matrix Pencil and Prony methods for power system modal analysis of noisy signals , 2011, 2011 North American Power Symposium.