# New methods for fast small-signal stability assessment of large scale power systems

@article{Lima1995NewMF, title={New methods for fast small-signal stability assessment of large scale power systems}, author={Leonardo T. G. Lima and Licio Hernanes Bezerra and Carlos Tomei and Nelson Martins}, journal={IEEE Transactions on Power Systems}, year={1995}, volume={10}, pages={1979-1985} }

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 ability to converge to the critical eigenvalues (unstable or low damped) of the system almost independently of the given initial estimate. Matrix transforms such as inverse iteration and S-matrix can be thought of as special cases of the described method. These transforms can also be used to inhibit…

## 52 Citations

### Refactored bi-iteration: a high performance eigensolution method for large power system matrices

- Engineering, Mathematics
- 1996

Small-signal stability analysis of interconnected power systems involves the computation of many eigenvalues/eigenvectors of very large unsymmetric matrices. A new numerical linear algebra method for…

### Computing rightmost eigenvalues for small-signal stability assessment of large scale power systems

- Computer Science, MathematicsIEEE PES General Meeting
- 2010

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 how SARQI can be used for stability analysis in any other field of engineering.

### Computing Rightmost Eigenvalues for Small-Signal Stability Assessment of Large-Scale Power Systems

- Computer Science, MathematicsIEEE Transactions on Power Systems
- 2010

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.

### Improved methodologies for the calculation of critical eigenvalues in small signal stability analysis

- Engineering
- 1996

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…

### Fast Analysis of Power System Stability by Artificial Neural Network

- Engineering
- 2013

A new approach is proposed to take advantage of the specific feature of the parallel structure of artificial neural network for calculating the most critical eigenvalue or all eigenvalues of the unstable oscillation mode.

### A Critical Eigenvalues Tracing Method for the Small Signal Stability Analysis of Power Systems

- Engineering
- 2013

The continuation power flow method combined with the Jacobi-Davidson method is presented to trace the critical eigenvalues for power system small signal stability analysis. The continuation power…

### Partial Eigenanalysis for Power System Stability Study by Connection Network

- EngineeringICIC
- 2007

The main purpose of this paper is to present an algorithm to find out the eigenvalue of the worst-damped electromechanical mode or the eigenevalues of all unstable electromech mechanical modes, i.e. to figure out those eigenvalues of critical oscillatory modes.

### New Eigenvalue Method for Power System Stability Analysis

- Engineering
- 2013

The most widely adopted methodology for the analysis of power system small signal stability relies on the approach in the frequency domain, i.e. to linearize the system equation to obtain a linear…

### A Wavelet Approach to the Selective Computation of Eigenvalues for Small Signal Stability Analysis

- Engineering, Computer Science2007 IEEE Lausanne Power Tech
- 2007

This paper proposes a method to assess the small signal stability of a power system network by selective determination of the modal eigenvalues. This uses an accelerating polynomial transform,…

### Modern Tools for the Small-Signal Stability Analysis and Design of FACTS Assisted Power Systems

- Engineering
- 2003

This paper describes the state-of-the-art on the small-signal stability analysis and design of FACTS assisted power systems. The benefits of integrating all these tools into a comprehensive package…

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