Power System Stability Analysis Using Recursive Projection Method

ABSTRACT: Stability represents significant criteria in power system operation. Stability analysis of power systems has been done by using an efficient numerical technique that is the recursive projection method (RPM). RPM analyzes the outputs of the time domain simulation code (TDSC) that is used to simulate the dynamics of a power system, to define a slow/unstable operating mode as a subspace of system’s full space and applying Newton method to improve the convergence of system solution, while fixed-point iteration method is used in the supplement subspace of stable modes. The analysis is performed by detecting those eigenvalues of the state matrix with magnitudes greater than unity, and creating the corresponding orthonormal basis that participates in extending the solution's convergence. This leads to getting a more accurate and stable solution in power systems. When a perturbation occurs to the power system, applying RPM allows the numerical solution to reach its steady-state mode in a short time and without continuous oscillation. Verification of RPM’s achievements has been performed on an example of 6-bus power system. The environment of this work is the Matlab program supported by the power system toolbox (PST). Keywords: Power system analysis, recursive projection method, numerical integration methods. ……………………………………………………………………………………………………………………………………………………………………………………………………………………