LQR Robust Control for Active and Reactive Power Tracking of a DFIG based WECS
Journal Title: International Journal of Advanced Computer Science & Applications - Year 2019, Vol 10, Issue 1
Abstract
This research work sets forward a new formulation of Linear Quadratic Regulator problem (LQR) applied to a Wind Energy Conversion System (WECS). A new necessary and sufficient condition of Lyapunov asymptotic stability is also established. The problem is mathematically described in form of Linear Matrix Inequalities (LMIs). The considered WECS is based on a Doubly Fed Induction Generator (DFIG). An appropriate Linear Parameter Varying (LPV) model is designed. This model stands for a realistic representation of the randomly time varying wind velocity. Stability and robustness of the controller over the admissible values of time varying parameter are investigated. The newly lifted Lyapunov condition gives less conservative conditions for LMI approach in case of parameter-dependent Lyapunov functions PDLF. The considered PDLF has the same variation dynamics as the system matrix. The intrinsic objective for our research is to offer more freedom degrees to the control problem and to improve the efficiency of the controller in case of uncertainties or parametric variations. The performances of the proposed theorems are validated to achieve active and reactive powers tracking of the WECS over the admissible range of wind speeds. The interesting features of the proposed solution are the simpler implementation and the larger robustness margin. It also has the advantage of providing a linear control to the considered nonlinear system without resorting to linearization. The LMIs implementation is performed on Yalmip Matlab toolbox. The proposed controller is verified on a Matlab Simulink emulator. This work presents an extension of the LQR control problem to LPV systems.
Authors and Affiliations
Sana Salhi, Salah Salhi
Keywords
Related Articles
- EP ID EP448941
- DOI 10.14569/IJACSA.2019.0100172
- Views 102
- Downloads 0
On Prospects of Development of Telecommunication Systems and Services based on Virtual Reality Technology
Virtual reality technologies are considered to be a basis and a promising development trend of telecommunication systems’ and services. New opportunities and sci-tech problems that need to be solved are currently undergo...
Corporate Responsibility in Combating Online Misinformation
In the age of mass information and misinformation, the corporate duty of developers of browsers, social media, and search engines are falling short of the minimum standards of responsibility. The tools and technologies a...
A New Application Programming Interface and a Fortran-like Modeling Language for Evaluating Functions and Specifying Optimization Problems at Runtime
A new application programming interface for evaluating functions and specifying optimization problems at runtime has been developed. The new interface, named FEFAR, uses a simple language named LEFAR. Compared with...
Exon_Intron Separation Using Amino Acids Groups Frenquency Repartition as Coding Technique
This paper presents a new coding technique based on amino acids repartition in chromosome. The signal generated with this coding technique constitutes, after treatment, a new way to separate between exons and introns in...
Image Co-Segmentation via Examples Guidance
Given a collection of images which contains objects from the same category, the co-segmentation methods aim at simultaneously segmenting such common objects in each image. Most of existing co-segmentation approaches rely...