Model Reduction of Power System by Modified Balanced Truncation Method

Abstract

In this article, we are exploring and implementing the new model order reduction (MOR) method for Large-Scale Linear Dynamic System (LSLDS) to achieve reduced order. These technologies are designed to better understand and explain LSLDS based on the Modified Balanced Truncation Method (BTM). This refers to continuous/discrete LTI structures that are minimal / non-minimum. This reduced method allows MOR to preserve complete parameters with reasonable accuracy. The approach is based on the maintenance of dominant system modes and a relatively small state truncation. As the reduced-order model (ROM) is derived from the retention of dominant modes, the reduction remains stable. The main demerit of the balanced truncation method is that the ROM, stable states, does not match the original structures. By modified BTM to narrow the deviations in the ROM transfer function matrix, a gain factor is added to adjust the steady-state values of the reduction system without altering the dynamic behaviour of the system. The proposed method has been successfully applied to a real-time single area power system with ease of extension to a discrete-time case and the results obtained show the efficacy of the method. Application model and the results obtained indicate the effectiveness of the methodology. The time response of the system has been demonstrated by the proposed method, which proves to be excellent match, effectiveness and superiority compared to the response of other approaches in the literature review of the original system.