Efficient estimation of electromechanical modes by applying Modified Arnoldi Method (MAM) to Transfer Function and Eigenfunction Analysis (TFEA) method

This paper presents a method of estimating the frequencies and damping factors of a selected number of electromechanical modes of power systems. The method combines Transfer Function and Eigenfunction Analysis (TFEA) method and Modified Arnoldi Method (MAM). Computation time reduction comes from applying MAM to the reduced 2ng×2ng matrix of [A(ω
_K
)]
_2ng×2ng
-formed by TFEA method instead of the higher rank full state matrix (e.g. [A]
_15ng×15ng
). Numerical results from a 300 bus, 69 generator-system demonstrates the computational efficiency of the method.