Document Type : Research article

Authors

Department of Electrical Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan, Iran

10.22055/jaree.2024.45909.1103

Abstract

The penetration of double-fed induction generators (DFIG) as renewable energy sources (RES) in power systems leads to fluctuations caused by wind energy. Therefore, based on this challenge, a wide area damping controller (WADC) has been designed to compensate the oscillatory modes by a static synchronous series compensator (SSSC). In addition to the design of WADC for SSSC, a parallel compensator in the form of a supercapacitor energy storage system (SCESS) has been used in the DC link of the wind unit so that DFIG can be used optimally to supply the power system. The design method for compensating time delays in WADC is based on free weight matrices (FWM). First, based on the theory of robust control based on delay-dependent feedback, a set of constraints related to linear matrix inequality (LMI) are formulated. In the following, the free weight matrix (FWM) has been used to solve the delay-dependent time problem. The purpose of applying FWM is to extract the most optimal gain for the controller in the presence of time delay. The proposed FWM matrix tries to find the most optimal gain in the controller with the help of an iterative algorithm based on the linearization of conical complement. The simulation results have been implemented in the MATLAB software environment after obtaining the critical modes in the nonlinear time domain on the power system of 16 improved machines. Based on the simulation results, the robustness of the proposed controller under various uncertainties is clearly shown in this paper.

Highlights

  • Design a wide-area damping controller (WADC) for the compensation of immortal modes by a static synchronous series compensator (SSSC)
  • Design a new method for compensating time delays in WADC based on free weight matrices (FWMs)
  • Combined modeling of energy storage system with RES in large-scale power system
  • New FWMs designed to compensate for the uncertainty caused by continuous and disruptive time delays
  • Adapting the FWMs method to the linear matrix inequality (LMI) in the form of an optimization problem

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