Analysis of Stationary- and Synchronous-Reference Frames for Three-Phase Three-Wire Grid-Connected Converter AC Current Regulators

Israel D. L. Costa, Danilo I. Brandao, Lourenço Matakas Junior, Marcelo G. Simões and Lenin M. F. Morais
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Israel D. L. Costa: Graduate Program in Electrical Engineering, Federal University of Minas Gerais (UFMG), Antônio Carlos 6627, Belo Horizonte 31270-901, MG, Brazil
Danilo I. Brandao: Graduate Program in Electrical Engineering, Federal University of Minas Gerais (UFMG), Antônio Carlos 6627, Belo Horizonte 31270-901, MG, Brazil
Lourenço Matakas Junior: Department of Electrical Energy and Automation, Polytechnic School of the University of São Paulo (USP), Campus São Paulo, São Paulo 05508-010, SP, Brazil
Marcelo G. Simões: Electrical Engineering Department, School of Technology and Innovations, University of Vaasa, 65200 Vaasa, Finland
Lenin M. F. Morais: Graduate Program in Electrical Engineering, Federal University of Minas Gerais (UFMG), Antônio Carlos 6627, Belo Horizonte 31270-901, MG, Brazil

Energies, 2021, vol. 14, issue 24, 1-16

Abstract: The current state of the art shows that unbalance and distortion on the voltage waveforms at the terminals of a grid-connected inverter disturb its output currents. This paper compares AC linear current regulators for three-phase three-wire voltage source converters with three different reference frames, namely: (1) natural (abc), (2) orthogonal stationary (αβ), and (3) orthogonal synchronous (dq). The quantitative comparison analysis is based on mathematical models of grid disturbances using the impedance-based analysis, the computational effort assessment, as well as the steady-state and transient performance evaluation based on experimental results. The control scheme devised in the dq-frame has the highest computational effort and inferior performance under negative-sequence voltage disturbances, whereas it shows superior performance under positive-sequence voltages among the reference frames evaluated. In contrast, the stationary natural frame abc has the lowest computational effort due to its straightforward implementation, with similar results in terms of steady-state and transient behavior. The αβ-frame is an intermediate solution in terms of computational cost.

Keywords: coordinated reference frame; current control; grid-connected converter; three-phase converter; unbalance (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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