LMI-Based Optimal Linear Quadratic Controller Design for Multiple Solar PV Units Connected to Distribution Networks

S. K. Ghosh, T. K. Roy, M. A. H. Pramanik, M. A. Mahmud

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

10 Citations (Scopus)

Abstract

In this paper, a state feedback linear quadratic regulator (LQR) controller is designed for multiple PV units which are connected to distribution networks in a networked structure instead of the point of common coupling (PCC). The proposed control scheme is designed for voltage source converters (VSCs) used with different PV units to couple with existing distribution networks. The control inputs are derived using appropriate feedback gains where an linear matrix inequality (LMI)-based LQR scheme is applied to determine these gains in such a way that tracking errors for all states are minimized. The performance of the proposed scheme is evaluated through rigorous simulations under different operating conditions and compared with a conventional proportional integral (PI) controller in terms of the capability to deliver power and minimize total harmonic distortions (THDs) in the inverter output current.

Original languageEnglish
Title of host publication2021 IEEE Texas Power and Energy Conference (TPEC 2021)
Place of PublicationPiscataway, USA
PublisherIEEE
Number of pages6
ISBN (Electronic)9781728186122, 9781728186115
ISBN (Print)9781728173450
DOIs
Publication statusPublished - 2 Feb 2021
Externally publishedYes
Event2021 IEEE Texas Power and Energy Conference, TPEC 2021 - College Station, United States
Duration: 2 Feb 20215 Feb 2021

Publication series

NameIEEE Texas Power and Energy Conference, (TPEC)
PublisherIEEE

Conference

Conference2021 IEEE Texas Power and Energy Conference, TPEC 2021
Country/TerritoryUnited States
CityCollege Station
Period2/02/215/02/21

Keywords

  • linear matrix inequality
  • linear quadratic regulator
  • multiple PV units
  • state feedback controller
  • Total harmonic distortion

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