Predictive Control for a Single-Phase to Three-Phase Converter with Two-Parallel Single-Phase Rectifiers

Authors

  • Ruben da Cruz Ferreira Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil
  • Sofia M. Almeida Dias Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil
  • Nady Rocha Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil https://orcid.org/0000-0003-2885-3200
  • Edison R. Cabral da Silva Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil
  • Victor F. M. Bezerra Melo Renewable Energies Engineering Departament, Cidade Universitaria, João Pessoa – PB, Brazil https://orcid.org/0000-0003-0907-0884

DOI:

https://doi.org/10.18618/REP.2023.4.0024

Keywords:

circulation current, modulated model predictive control, Parallel converters, single-phase grid, three-phase induction machine

Abstract

This paper presents a parallel single-phase to three-phase drive system, using two single-phase rectifiers. The rectifiers are not isolated from the grid by low-frequency transformers, so the reduction of the circulation current is an important objective for the control strategy. Modulated Model Predictive Control regulates the grid current and minimizes the circulation current between the parallel rectifiers. Furthermore, the analyzed predictive control consists of two strategies, where the first has the application of two vectors in a sampling period while the second has three vectors. The addition of a vector allows the reduction of the computational cost due to the reduction of tests performed in the predictive control and reduces the harmonic distortion in the electrical grid due to the greater application of vectors in a sampling period. Simulation and experimental results are presented in order to validate the control strategy.

 

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Author Biographies

Ruben da Cruz Ferreira, Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil

was born in João Pessoa, Paraíba, Brazil, in 2000. He is a bachelor’s student in electrical engineering from the Federal University of Paraíba, João Pessoa, Brazil. Since 2019, he is working in researches about shunt active power filters and power converters. His research interests include power electronics, renewable energy sources and electrical drives.

Sofia M. Almeida Dias, Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil

was born in João Pessoa, Paraíba, Brazil, in 1997. He received the B.S. and M.S. degrees in electrical engineering from the Federal University of Paraíba, João Pessoa, Brazil, in 2021 and 2023, respectively. Between 2017 and 2019, she worked with modeling and driving electrical machines, and between 2020 and 2023, he dedicated his studies to various PWM techniques and predictive control in variable speed systems. She currently works in the Nacional Operator of the Electric System (ONS) in the planning department.

Nady Rocha, Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil

, was born in São Gabriel, Bahia, Brazil, in 1982. He received the B.S., M.S., and Ph.D. degrees in electrical engineering from the Federal University of Campina Grande, Campina Grande, Brazil, in 2006, 2008, and 2010, respectively. Since 2011, he has been with the Department of Electrical Engineering, Federal University of Paraíba, João Pessoa, where he is currently an Associate Professor of Electrical Engineering. His research interests include power electronics, renewable energy sources, and electrical drives.

Edison R. Cabral da Silva, Electrical Engineering Department, Federal University of Paraíba, Cidade Universitária, João Pessoa – PB, Brazil

received the B.S.E.E. degree from the Polytechnic School of Pernambuco, Recife, Brazil, in 1965, the M.S.E.E. degree from the University of Rio de Janeiro, Brazil, in 1968, and the Dr. Eng. degree from the University Paul Sabatier, Toulouse, France, in 1972. He was the Director of the Research Laboratory on Industrial Electronics and Machine Drives, LEIAM, Campina Grande, Brazil, for 30 years. He is currently Professor Emeritus at both University of Campina Grande, UFCG, and University of Paraiba, UFPB, where he is still acting. His current research work is in the area of power electronics and renewable energy systems. Co-author of the book entitled “Advanced Power Electronics Converters: PWM Converters Processing AC Voltages”, IEEE/Wiley, he is a member of the Brazilian Society on Power Electronics, SOBRAEP (Honorable), Brazilian Society on Automatic Control, SBA, and IEEE (Life-Fellow). He is also a SBA Past-President.

Victor F. M. Bezerra Melo, Renewable Energies Engineering Departament, Cidade Universitaria, João Pessoa – PB, Brazil

was born in Pesqueira, Brazil, in 1988. He received the B.S., M.S., and Ph.D. degrees in electrical engineering from the Federal University of Campina Grande, Campina Grande, Brazil, in 2012, 2013, and 2017, respectively. From October 2014 to June 2018 he was with Federal Institute of Technology of Pernambuco (IFPE), Afogados da Ingazeira, Brazil, where he was a Professor. Since June 2018 he has been with the Renewable Energies Department, Federal University of Paraíba, where he is currently a Professor. His current research interests include power electronics, static converters, and electrical drives.

References

A. Gonzalez, C. Hernandez, M. A. Arjona, "A Novel High-Efficiency Parallel-Winding Connection for a Three-Phase Induction Motor Fed by a Single-Phase Power Supply",IEEE Transactions on Energy Conversion, vol. 29, no. 2, pp. 269-277, Jun. 2014. https://doi.org/10.1109/TEC.2014.2305755 DOI: https://doi.org/10.1109/TEC.2014.2305755

D.-C. Lee, Y.-S. Kim, "Control of Single-Phase-to-Three-Phase AC/DC/AC PWM Converters for Induction Motor Drives",IEEE Transactions on Industrial Electronics, vol. 54, no. 2, pp. 797-804, Apr.2007. https://doi.org/10.1109/TIE.2007.891780 DOI: https://doi.org/10.1109/TIE.2007.891780

S. A. O. da Silva, F. A. Negrão, "Single-Phase to Three-Phase Unified Power Quality Conditioner Applied in Single-Wire Earth Return Electric Power Distribution Grids",IEEE Transactions on Power Electronics, vol. 33, no. 5, pp. 3950-3960, May 2018. https://doi.org/10.1109/TPEL.2017.2723573 DOI: https://doi.org/10.1109/TPEL.2017.2723573

P. Enjeti, A. Rahman, R. Jakkli, "Economic single-phase to three-phase converter topologies for fixed and variable frequency output",IEEE Transactions on Power Electronics, vol. 8, no. 3, pp. 329-335, Jul.1993. https://doi.org/10.1109/63.233290 DOI: https://doi.org/10.1109/63.233290

P. Enjeti, A. Rahman, "A new single-phase to three-phase converter with active input current shaping for low cost AC motor drives",IEEE Transactions on Industry Applications, vol. 29, no. 4, pp. 806-813,Jul.-Aug. 1993. https://doi.org/10.1109/28.231999 DOI: https://doi.org/10.1109/28.231999

C. B. Jacobina, E. C. dos Santos, M. B. d. R.Correa, E. R. C. da Silva, "Single-Phase-Input Reduced-Switch-Count AC-AC Drive Systems",IEEE Transactions on Industry Applications, vol. 44, no. 3,pp. 789-798, May-Jun. 2008. https://doi.org/10.1109/TIA.2008.921420 DOI: https://doi.org/10.1109/TIA.2008.921420

C. B. Jacobina, E. C. dos Santos, N. Rocha,B. de Sá Gouveia, E. R. C. da Silva, "Reversible AC Drive Systems Based on Parallel AC-AC DC-Link Converters",IEEE Transactions on Industry Applications, vol. 46, no. 4, pp. 1456-1467, Jul.-Aug.2010. https://doi.org/10.1109/TIA.2010.2049724 DOI: https://doi.org/10.1109/TIA.2010.2049724

Y. Xia, M. Yu, Y. Zhang, Z. Lv, W. Wei, "Decentralized Suppression Strategy of Circulating Currents Among IPOP Single-Phase DC/AC Converters",IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 2, pp. 1571-1583, Jun. 2020. https://doi.org/10.1109/JESTPE.2019.2906653 DOI: https://doi.org/10.1109/JESTPE.2019.2906653

C. B. Jacobina, E. C. d. Santos Jr., N. Rocha, E. L. L.Fabrício, "Single-Phase to Three-Phase Drive System Using Two Parallel Single-Phase Rectifiers",IEEE Transactions on Power Electronics, vol. 25, no. 5,pp. 1285-1295, May 2010. https://doi.org/10.1109/TPEL.2009.2037420 DOI: https://doi.org/10.1109/TPEL.2009.2037420

E. C. dos Santos, N. Rocha, C. B. Jacobina,"Suitable Single-Phase to Three-Phase AC-DC-AC Power Conversion System",IEEE Transactions on Power Electronics, vol. 30, no. 2, pp. 860-870, Feb.2015. https://doi.org/10.1109/TPEL.2014.2308297 DOI: https://doi.org/10.1109/TPEL.2014.2308297

N. B. de Freitas, C. B. Jacobina, A. C. N. Maia,A. C. Oliveira, "Six-Leg Single-Phase to Three-Phase Converter",IEEE Transactions on Industry Applications, vol. 53, no. 6, pp. 5527-5538, Nov.-Dec2017. https://doi.org/10.1109/TIA.2017.2720138 DOI: https://doi.org/10.1109/TIA.2017.2720138

V. Verma, A. Kumar, "Cascaded Multilevel Active Rectifier Fed Three-Phase Smart Pump Load on Single-Phase Rural Feeder",IEEE Transactions on Power Electronics, vol. 32, no. 7, pp. 5398-5410, Jul.2017. https://doi.org/10.1109/TPEL.2016.2605005 DOI: https://doi.org/10.1109/TPEL.2016.2605005

L. Zhang, K. Sun, Y. Xing, J. Zhao, "Parallel Operation of Modular Single-Phase Transformer less Grid-Tied PV Inverters With Common DC Bus and AC Bus",IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 3, no. 4, pp. 858-869, Dec.2015. https://doi.org/10.1109/JESTPE.2015.2417196 DOI: https://doi.org/10.1109/JESTPE.2015.2417196

L. Cheng, W. Wu, L. Qiu, X. Liu, J. Ma, J. Zhang,Y. Fang, "An improved data-driven based model predictive control for zero-sequence circulating current suppression in paralleled converters",International Journal of Electrical Power & Energy Systems, vol.143, p. 108401, Dec. 2022. https://doi.org/10.1016/j.ijepes.2022.108401 DOI: https://doi.org/10.1016/j.ijepes.2022.108401

S. Vazquez, C. Montero, C. Bordons, L. G. Franquelo,"Model predictive control of a VSI with long prediction horizon",in IEEE International Symposium on Industrial Electronics, pp. 1805-1810, Jun. 2011. https://doi.org/10.1109/ISIE.2011.5984431 DOI: https://doi.org/10.1109/ISIE.2011.5984431

S. Kouro, P. Cortes, R. Vargas, U. Ammann,J. Rodriguez, "Model Predictive Control-A Simple and Powerful Method to Control Power Converters",IEEE Transactions on Industrial Electronics, vol. 56,no. 6, pp. 1826-1838, Jun. 2009. https://doi.org/10.1109/TIE.2008.2008349 DOI: https://doi.org/10.1109/TIE.2008.2008349

D. Ramirez, M. E. Zarei, M. Gupta, J. Serrano,"Fast Model-based Predictive Control (FMPC) for grid connected Modular Multilevel Converters (MMC)",International Journal of Electrical Power & Energy Systems, vol. 119, p. 105951, Jul. 2020. https://doi.org/10.1016/j.ijepes.2020.105951 DOI: https://doi.org/10.1016/j.ijepes.2020.105951

M. Li, X. Wu, S. Huang, G. Liang, "Model predictive direct power control using optimal section selection for PWM rectifier with reduced calculation burden",International Journal of Electrical Power & Energy Systems, vol. 116, p. 105552, Mar. 2020. https://doi.org/10.1016/j.ijepes.2019.105552 DOI: https://doi.org/10.1016/j.ijepes.2019.105552

S. Vazquez, P. Acuna, R. P. Aguilera, J. Pou,J. I. Leon, L. G. Franquelo, "DC-Link Voltage-Balancing Strategy Based on Optimal Switching Sequence Model Predictive Control for Single-PhaseH-NPC Converters",IEEE Transactions on Industrial Electronics, vol. 67, no. 9, pp. 7410-7420, Sept. 2020. https://doi.org/10.1109/TIE.2019.2941131 DOI: https://doi.org/10.1109/TIE.2019.2941131

A. Lashab, D. Sera, J. M. Guerrero, "Model Predictive Control of Cascaded Multilevel Battery Assisted QuasiZ-Source PV Inverter with Reduced Computational Effort",in IEEE Energy Conversion Congress and Exposition (ECCE), pp. 6501-6507, 2019. https://doi.org/10.1109/ECCE.2019.8912551 DOI: https://doi.org/10.1109/ECCE.2019.8912551

A. J. S. Filho, R. S. Inomoto, L. L. Rodrigues, R. B. A.Cunha, O. A. C. Vilcanqui, "Predictive Control Applied to a Boost Converter of a Photovoltaic System",Journal of Control, Automation and Electrical Systems, vol. 33, pp. 393-405, Sept. 2022. https://doi.org/10.1007/s40313-021-00796-9 DOI: https://doi.org/10.1007/s40313-021-00796-9

H. A. Young, M. A. Perez, J. Rodriguez, H. Abu-Rub, "Assessing finite-control-set model predictive control: A comparison with a linear current controller in two-level voltage source inverters",IEEE IndustrialElectronics Magazine, vol. 8, no. 1, pp. 44-52, Mar.2014. https://doi.org/10.1109/MIE.2013.2294870 DOI: https://doi.org/10.1109/MIE.2013.2294870

I. Harbi, J. Rodriguez, E. Liegmann, H. Makhamreh,M. L. Heldwein, M. Novak, M. Rossi, M. Abdelrahem,M. Trabelsi, M. Ahmed, P. Karamanakos, S. Xu,T. Dragiˇcevi ́c, R. Kennel, "Model-Predictive Control of Multilevel Inverters: Challenges, Recent Advances,and Trends",IEEE Transactions on Power Electronics,vol. 38, no. 9, pp. 10845-10868, Sept. 2023. https://doi.org/10.1109/TPEL.2023.3288499 DOI: https://doi.org/10.1109/TPEL.2023.3288499

F. S. Guedes, N. Rocha, A. M. Maciel, A. J. S. Filho,"Finite-Set Model Predictive Direct Power Controlfor DFIG with Reduced Number of Voltage Vectors",Eletrônica de Potência, vol. 28, pp.63-73, Mar. 2023. https://doi.org/10.18618/REP.2023.1.0025 DOI: https://doi.org/10.18618/REP.2023.1.0025

J. Rodriguez, S. Bernet, P. K. Steimer, I. E. Lizama,"A Survey on Neutral-Point-Clamped Inverters",IEEE Transactions on Industrial Electronics, vol. 57, no. 7,pp. 2219-2230, Jul. 2010. https://doi.org/10.1109/TIE.2009.2032430 DOI: https://doi.org/10.1109/TIE.2009.2032430

W. Huang, W. Hua, Q. Fan, "Performance analysis and comparison of two fault-tolerant model predictive control methods for five-phase PMSM drives",CES Transactions on Electrical Machines and Systems,vol. 5, no. 4, pp. 311-320, Dec. 2021. https://doi.org/10.30941/CESTEMS.2021.00036 DOI: https://doi.org/10.30941/CESTEMS.2021.00036

T. Geyer, N. Oikonomou, G. Papafotiou,F. Kieferndorf, "Model predictive pulse pattern control",in IEEE Energy Conversion Congress and Exposition, pp. 3306-3313, 2011. https://doi.org/10.1109/ECCE.2011.6064215 DOI: https://doi.org/10.1109/ECCE.2011.6064215

J. Lei, L. Tarisciotti, A. Trentin, P. Zanchetta,P. Wheeler, A. Formentini, "Fixed frequency finite-state model predictive control for indirect matrix converters with optimal switching pattern",in IEEE Energy Conversion Congress and Exposition (ECCE),pp. 1-8, 2016. https://doi.org/10.1109/ECCE.2016.7855118 DOI: https://doi.org/10.1109/ECCE.2016.7855118

L. Tarisciotti, P. Zanchetta, A. Watson, J. C. Clare,M. Degano, S. Bifaretti, "Modulated Model Predictive Control for a Three-Phase Active Rectifier",IEEE Transactions on Industry Applications, vol. 51, no. 2,pp. 1610-1620, Mar.-Apr. 2015. https://doi.org/10.1109/TIA.2014.2339397 DOI: https://doi.org/10.1109/TIA.2014.2339397

M. Rivera, M. Perez, V. Yaramasu, B. Wu,L. Tarisciotti, P. Zanchetta, P. Wheeler, "Modulated model predictive control (M2PC) with fixed switching frequency for an NPC converter",in IEEE 5thInternational Conference on Power Engineering,Energy and Electrical Drives (POWERENG), pp. 623-628, 2015. https://doi.org/10.1109/PowerEng.2015.7266389 DOI: https://doi.org/10.1109/PowerEng.2015.7266389

L. Tarisciotti, P. Zanchetta, A. Watson, P. Wheeler,J. C. Clare, S. Bifaretti, "Multiobjective Modulated Model Predictive Control for a Multilevel Solid-State Transformer",IEEE Transactions on Industry Applications, vol. 51, no. 5, pp. 4051-4060, Sept.-Oct2015. https://doi.org/10.1109/TIA.2015.2429113 DOI: https://doi.org/10.1109/TIA.2015.2429113

G. M. d. S. Rodrigues, N. Rocha, I. J. d. N. Silva,E. R. C. da Silva, V. F. M. Melo, "ModulatedPredictive Controller for a Single-Phase Cascaded Transformer Multilevel Inverter",in 12th Seminar on Power Electronics and Control (SEPOC 2019), 2019.

F. Yu, K. Li, Z. Zhu, X. Liu, "An Over-Modulated Model Predictive Current Control for Permanent Magnet Synchronous Motors",IEEE Access, vol. 10,pp. 40391-40401, Apr. 2022, doi:10.1109/ACCESS.2022.3166511. https://doi.org/10.1109/ACCESS.2022.3166511 DOI: https://doi.org/10.1109/ACCESS.2022.3166511

M. Vijayagopal, P. Zanchetta, L. Empringham,L. de Lillo, L. Tarisciotti, P. Wheeler, "Control ofa Direct Matrix Converter With Modulated Model-Predictive Control",IEEE Transactions on Industry Applications, vol. 53, no. 3, pp. 2342-2349, May-Jun.2017. https://doi.org/10.1109/TIA.2017.2674602 DOI: https://doi.org/10.1109/TIA.2017.2674602

A. Nasr, C. Gu, G. Buticchi, S. Bozhko, C. Gerada, "ALow-Complexity Modulated Model Predictive Torque and Flux Control Strategy for PMSM Drives Without Weighting Factor",IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 11, no. 2,pp. 1305-1316, Apr. 2023. https://doi.org/10.1109/JESTPE.2022.3152652 DOI: https://doi.org/10.1109/JESTPE.2022.3152652

R. d. C. Ferreira, S. M. A. Dias, N. Rocha,E. R. C. d. Silva, V. F. M. B. Melo, "Modulated Predictive Controller for a Single-Phase to Three-Phase Converters with Two Parallel Single-Phase Rectifiers",in Brazilian Power Electronics Conference(COBEP), pp. 1-8, 2021. https://doi.org/10.1109/COBEP53665.2021.9684073 DOI: https://doi.org/10.1109/COBEP53665.2021.9684073

S. Jean,Contribution to the Robustication of Model Predictive Control Techniques for Electrical System Applications, Ph.D. thesis, Université de Cergy Pontoise, Paris-France, 2016.

S. S. Yeoh, T. Yang, L. Tarisciotti, C. I. Hill, S. Bozhko,P. Zanchetta, "Permanent-Magnet Machine-Based Starter-Generator System With Modulated Model Predictive Control",IEEE Transactions on Transportation Electrification, vol. 3, no. 4, pp.878-890, Dec. 2017. https://doi.org/10.1109/TTE.2017.2731626 DOI: https://doi.org/10.1109/TTE.2017.2731626

P. Cortes, J. Rodriguez, C. Silva, A. Flores, "Delay Compensation in Model Predictive Current Control of a Three-Phase Inverter",IEEE Transactions on Industrial Electronics, vol. 59, no. 2, pp. 1323-1325,Feb. 2012. https://doi.org/10.1109/TIE.2011.2157284 DOI: https://doi.org/10.1109/TIE.2011.2157284

C. Lu, Z. Zhou, A. Jiang, M. Luo, P. Shen,Y. Han, "Comparative performance evaluation of phase-locked loop (PLL) algorithms for single-phase grid-connected converters",in IEEE 8th International Power Electronics and Motion Control Conference(IPEMC-ECCE Asia), pp. 902-907, 2016.

I. Ben Ali, M. W. Naouar, E. Monmasson,"DC-link voltage control of a single-phase AFE rectifier with reactive power ancillary service",in 6th IEEE International Energy Conference (ENERGYCon), pp. 216-221, 2020. https://doi.org/10.1109/ENERGYCon48941.2020.9236605 DOI: https://doi.org/10.1109/ENERGYCon48941.2020.9236605

J. I. Leon, S. Vazquez, A. J. Watson, L. G. Franquelo,P. W. Wheeler, J. M. Carrasco, "Feed-Forward Space Vector Modulation for Single-Phase Multilevel Cascaded Converters With Any DC Voltage Ratio",IEEE Transactions on Industrial Electronics, vol. 56,no. 2, pp. 315-325, Feb. 2009. https://doi.org/10.1109/TIE.2008.926777 DOI: https://doi.org/10.1109/TIE.2008.926777

Published

2023-12-31

How to Cite

[1]
R. da C. Ferreira, S. M. A. Dias, N. Rocha, E. R. Cabral da Silva, and V. F. M. B. Melo, “Predictive Control for a Single-Phase to Three-Phase Converter with Two-Parallel Single-Phase Rectifiers”, Eletrônica de Potência, vol. 28, no. 4, pp. 324–336, Dec. 2023.

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Original Papers