Advances in Electrical and Computer Engineering (Aug 2022)

Control Based on Linear Matrix Inequalities for Power Converters of an Islanded AC Microgrid

  • TERAN, R. A. J.,
  • PEREZ, J.,
  • BERISTAIN, J. A.,
  • VALLE, O. A.

DOI
https://doi.org/10.4316/AECE.2022.03007
Journal volume & issue
Vol. 22, no. 3
pp. 61 – 68

Abstract

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The design of primary control schemes based on Takagi-Sugeno Models (TS) and Linear Matrix Inequalities (LMI) for an islanded AC Microgrid (MG) is presented. The MG converters are a grid-forming (GFRC) with battery energy storage system (BESS) and a grid-following (GFLC) with photovoltaic (PV) generation. From the linear model of the GFRC, the Lyapunov stability criteria for developing an easy LMI control design for the inner loop is employed, and using an outer loop PI controller the PI-LMI cascade control is formed. On the other hand, exact TS models for rewriting the GFLC nonlinear model are used, then solving Lyapunov based LMI conditions, an inner loop controller denoted as TSLMI is designed; using two outer loop PI controllers the PI-TSLMI cascade control is obtained. The tests show a good PI-LMI controller performance to establish an AC voltage in the point of common coupling (PCC) of the MG; also, with the PV power surplus in the PCC, the battery charging mode is carried out. The results of PI-TSLMI, with a Maximum Power Point Tracking (MPPT) algorithm, show a correct maximum PV power injection for different irradiation and temperature levels and AC load variations.

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