• Corpus ID: 119170564

Fixed-Point Methods on Small-Signal Stability Analysis

  title={Fixed-Point Methods on Small-Signal Stability Analysis},
  author={Licio Hernanes Bezerra},
  journal={arXiv: Numerical Analysis},
  • L. H. Bezerra
  • Published 10 May 2016
  • Computer Science
  • arXiv: Numerical Analysis
In this paper we introduce the Diagonal Dominant Pole Spectrum Eigensolver (DDPSE), which is a fixed-point method that computes several eigenvalues of a matrix at a time. DDPSE is a slight modification of the Dominant Pole Spectrum Eigensolver (DPSE), that has being used in power system stability studies. We show that both methods have local quadratic convergence. Moreover, we present practical results obtained by both methods, from which we can see that those methods really compute dominant… 

Figures and Tables from this paper


The dominant pole spectrum eigensolver [for power system stability analysis]
This paper describes the first partial eigensolution algorithm to efficiently and simultaneously compute the set of dominant closed-loop poles in any high-order scalar transfer function. The proposed
Computing Rightmost Eigenvalues for Small-Signal Stability Assessment of Large-Scale Power Systems
An algorithm, based on subspace accelerated Rayleigh quotient iteration (SARQI), for the automatic computation of the rightmost eigenvalues of large-scale (descriptor) system matrices and can be used for stability analysis in any other field of engineering.
New methods for fast small-signal stability assessment of large scale power systems
This paper describes new matrix transformations suited to the efficient calculation of critical eigenvalues of large scale power system dynamic models. The key advantage of these methods is their
Spectral Transformation Algorithms for Computing Unstable Modes of Large Scale Power Systems
In this paper we describe spectral transformation algorithms for the computation of eigenvalues with positive real part of sparse nonsymmetric matrix pencils $(J,L)$, where $L$ is of the form
Improved methodologies for the calculation of critical eigenvalues in small signal stability analysis
This paper presents improved and new methodologies for the calculation of critical eigenvalues in the small-signal stability analysis of large electric power systems. They augment the robustness and
Convergence of the Dominant Pole Algorithm and Rayleigh Quotient Iteration
Results will be presented that indicate that for DPA the basins of attraction of the dominant pole are larger than those for two-sided RQI, and the price for the better global convergence is only a few additional iterations.
Calculation of Rightmost Eigenvalues in Power Systems Using the Jacobi–Davidson Method
A new methodology for the calculation of critical eigenvalues in the small signal stability analysis of large power systems is presented in this paper. The Jacobi–Davidson method, which is a very
Efficient Eigenvalue and Frequency Response Methods Applied to Power System Small-Signal Stability Studies
  • N. Martins
  • Engineering
    IEEE Transactions on Power Systems
  • 1986
Frequency response and eigenvalue techniques are fundamental tools in the analysis of small signal stability of multimachine power systems. This paper describes two highly efficient algorithms which
Computing dominant poles of power system transfer functions
This paper describes the first algorithm to efficiently compute the dominant poles of any specified high order transfer function. As the method is closely related to Rayleigh iteration (generalized
An eigenvalue method for calculating dominant poles of a transfer function