D-Transform Based Control of Power Converters

Arthur H. R. Rosa; Waner W. A. G. Silva; Wei He; Fernando A. da Silva; Lenin M. F. Morais; Seleme I. Seleme Jr.

doi:10.18618/REP.2022.1.0046

Authors

Arthur H. R. Rosa Instituto Federal de Minas Gerais (IFMG Campus Betim), Betim – MG, Brasil
Waner W. A. G. Silva Universidade Federal de Itajubá (UNIFEI) – MG, Brasil
Wei He School of Automation, Nanjing University of Information Science and Technology – China
Fernando A. da Silva Instituto Federal de Minas Gerais (IFMG Campus Betim), Betim – MG, Brasil
Lenin M. F. Morais Universidade Federal de Minas Gerais (UFMG) – MG, Brasil
Seleme I. Seleme Jr. Universidade Federal de Minas Gerais (UFMG) – MG, Brasil

DOI:

https://doi.org/10.18618/REP.2022.1.0046

Keywords:

Boost, Buck, Buck-boost, D-Transform, HIL Simulation, IDAPBC, Nonlinear Control, Relations, SFL

Abstract

The aim of this study is to present a very simple, intuitive and feasible tool: the D-transform between converters. This new method proposes to find a control equation of any pre-defined control law from one converter to another power converter. The central goal is to take maximum advantage of the robustness offered by the originator nonlinear control law. Although there is the possibility of more than one conversion, some candidates show good performance in terms of transient overshoot, settling time and steady-state regulation. The stability proof is disposed individually for each generated equation. The performance of D-Controllers is verified through Hardware In the Loop (HIL) simulations. A small overshoot under input and load perturbations is achieved for the buck-boost example. Finally, a experimental validation using a buck converter is given to illustrate the application method and the nonlinear control design.

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Author Biographies

Arthur H. R. Rosa, Instituto Federal de Minas Gerais (IFMG Campus Betim), Betim – MG, Brasil

Bachelor’s at Control and Automation Engineering (2007), master’s at Electric Engineering (2011) and PhD at Electric Engineering from Universidade Federal de Minas Gerais (2015). Has experience in Electric Engineering, focusing on Control of Electronic Processes, Feedback, acting on the following subjects: passivity, nonlinear control, power factor correction, adaptive control, dsp and applied control. He is professor of Federal Institute of Minas Gerais.

Waner W. A. G. Silva, Universidade Federal de Itajubá (UNIFEI) – MG, Brasil

received the degree in electrical engineering from Faculdades Santo Agostinho in 2011, and the M.Sc. and PhD degree from the Federal University of Minas Gerais in 2013 /2018. He is currently an Assistant Professor with the Federal University of Itajuba, Campus Itabira, and lecturing classes on power electronics and embedded systems. His research interests include power electronic applications in renewable energy, energy storage, and embedded systems.

Wei He, School of Automation, Nanjing University of Information Science and Technology – China

is with the School of Automation, Nanjing University of Information Science and Technology, China. His research interests include control of power electronics and nonlinear control.

Fernando A. da Silva, Instituto Federal de Minas Gerais (IFMG Campus Betim), Betim – MG, Brasil

a, is a Control and Automation Engineer graduated from the Federal Institute of Minas Gerais. Currently working as an Engineering Analyst, working on innovation projects, development and implementation of solutions for the mineral sector. He has experience in the field of instrumentation, studies and specification of equipment/instruments for process control.

Lenin M. F. Morais, Universidade Federal de Minas Gerais (UFMG) – MG, Brasil

received the B.Sc., M.Sc., and Ph.D. degrees in electrical engineering from the Federal University of Minas Gerais (UFMG), Belo Horizonte, Brazil, in 2000, 2002, and 2007, respectively. He completed a Postdoctoral Internship in Laboratoire Laplace, Toulouse, France, He is currently an Associate Professor with the Federal University of Minas Gerais, Belo Horizonte, Brazil, has experience in electrical engineering, with emphasis in industrial electronics, systems and electronic controls, working mainly in the subjects, including power electronics, high efficiency converters, LEDs drivers, PFC converters, PWM techniques, and solid-state transformer.

Seleme I. Seleme Jr., Universidade Federal de Minas Gerais (UFMG) – MG, Brasil

received the B.S. degree in electrical engineering from the Escola Politecnica (USP), São Paulo, Brazil, in 1977, the M.S. degree in electrical engineering from the Federal University of Santa Catarina, Florianópolis, Brazil, in 1985, and the Ph.D. degree in control and automation from the Institut National Polytechnique de Grenoble, France, in 1994. He is currently a Full Professor with the Department of Electronic Engineering, Federal University of Minas Gerais, Belo Horizonte, Brazil. His main research interests include renewable energy systems, modular multilevel converters, and nonlinear control applied to power converters.

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