A Novel Resonant Controller Discretization and Design Procedure Based on Inverse Nyquist Diagrams

Fábio A. L. Alves; André R. de Castro; Thiago C. Tricarico; Marcello S. Neves; Maurício Aredes

doi:10.20906/CBA2022/3336

Fábio A. L. Alves Programa de Engenharia Elétrica, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ
André R. de Castro Programa de Engenharia Elétrica, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ
Thiago C. Tricarico Programa de Engenharia Elétrica, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ
Marcello S. Neves Programa de Engenharia Elétrica, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ
Maurício Aredes Programa de Engenharia Elétrica, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ

DOI: https://doi.org/10.20906/CBA2022/3336

Keywords: Resonant Controllers, Discretization Techniques, Inverse Nyquist Diagram, Harmonic Compensators, Current Controlled VSC

Abstract

Resonant controllers, whether Resonant Proportional (PR) or Vectorial Proportional Integral (VPI), are increasingly used in power electronics converters. Since they are most often embedded in digital microcontrollers, the discretization effects of their mathematical models directly impact the dynamics of the final system. This paper proposes a new discretization for the PR and VPI resonant controllers. Allied to this proposition, a design algorithm focused on optimizing the closed-loop stability of the system via inverse Nyquist diagrams and harmonic current compensation is also proposed. Simulation results prove the validity of the proposed discretization as well as the design algorithm.