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

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 and properly employing graphical interface, including animation of algorithm results, are highly emphasized. ALGORITHMS FOR THE ANALYSIS AND CONTROL OF THE SMALL SIGNAL STABILITY OF LARGE SCALE POWER SYSTEMS Until the early eighties, the small signal stability analysis of power systems was based on the conventional state-space description. The state matrix, in this application, is quite dense and the use of sparsity oriented methods would not yield any computational gains. The only alternative was to use the numerically robust QR routine to produce the full eigensolution, which is computationally expensive. The QR eigensolution of a non-symmetric, real matrix of order 500, for example, requires almost one hour of CPU on a 66 MHz PC486.