RESEARCH AND APPLICATION OF BALANCED TRUNCATION ALGORITHM TO REDUCE ORDER FOR ROBUST CONTROLLER OF SYNCHRONOUS GENERATOR LOAD ANGLE

Abstract

Sustainable control plays an important role in ensuring stability and performance of the synchronous generator load angle. However, high-order controllers can lead to many limitations such as complex processing software, slow response, bulky and costly hardware implementation. To address these issues and achieve economic and technical objectives, it is necessary to reduce the order of the controller. The author's team applied the Balanced Truncation Algorithm (BlTA) to reduce the stable subsystem order of the sustainable controller for the synchronous generator load angle. Simulation results on Matlab show the effectiveness of BlTA in reducing the order of the initial control system (stable part) from 22 to orders 2, 3, and 4. Among them, the fourth-order system provides good time and frequency responses while maintaining a small error between the reduced and original systems. Therefore, a reduced-order system can be chosen to replace a high-order control system within an appropriate range, resulting in faster response time, simplifying implementation and programming while still meeting some allowed technical specifications.