Order Reduction of Single-Machine-Infinite-Bus System by Utilizing Markov Parameters, Time Moments and Routh Array.

In this contribution, order reduction of tenth-order single-machine-infinite-bus (SMIB) system is proposed with the help of matching of time moments (TMs) and Markov parameters (MPs) utilizing Routh array (RA) approximation. The unknown denominator coefficients of desired reduced-order model (ROM) are obtained by RA approximation method. The RA approximation method is simple in application. Moreover, stability of desired ROM can be ensured directly using RA approximation. The determination of numerator coefficients is done by matching of TMs and MPs of system and desired ROM. To show the effectiveness of proposed method, comparative analysis is performed. The ROMs already obtained by researchers for SMIB system using different methods are compared on the basis of time-domain specifications (TDSs). TDSs considered are rise time, settling time, undershoot, overshoot, peak and peak time. The comparative analysis considering performance error criteria (PEC) such as integral of absolute error, integral of time absolute error, integral of time-squared absolute error (IT 2 AE), integral of squared-error, integral of time-squared-error (IT 2 SE) and integral of time-squared square error (IT 2 SE) is also provided. The tabulated values of TDSs and PEC along with plots prove applicability of proposed method for order reduction of SMIB system. [ABSTRACT FROM AUTHOR]