Dynamic Phasor Modeling of the Single-Phase MMC under Modulation PSC-PWM

Authors

Keywords:

Dynamic phasor, modeling, modular multilevel converter, phase-shifted carrier-based pulse-width modulation

Abstract

This paper develops a model, based on the dynamic phasor approach, for the single-phase modular multilevel converter (MMC), where the switching sequences are generated by the phase-shifted carrier-based pulse-width modulation (PSC-PWM) scheme. The modeling process begins with the MMC state space model, from which the DC and the fundamental complex Fourier coefficients, called dynamic phasors, are extracted for both the original state variables and the switching functions. It is worth noting that, in the developed dynamic phasor-based model (DPhM) of the MMC, all capacitor voltages per phase are considered separately in the modeling process, which contrast with the usual definition of variables based on the sum and difference of the capacitor voltages on the arms. Experimental results are presented to demonstrate the validity of the MMC DPhM as compared to the response of the switched MMC under the PSC-PWM scheme. In particular, it is observed that the developed MMC DPhM is able to reproduce the steady-state waveforms of all original state variables, including the ripple amplitude, as compared to the results obtained with the switched MMC. Furthermore, it is shown that, both in the switched MMC under the PSC-PWM and in the derived DPhM MMC, all capacitors converge to the same steady-state average value without adding an external balance controller, but only due to the natural balancing action of the PSC-PWM scheme, despite arbitrary initial conditions of capacitor voltages.

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Author Biographies

Glendy A. Catzin-Contreras, Universidad Politecnica de Yucatan

Glendy Anyali Catzin--Contreras received the M.Eng. degree in Renewable Energies from the School of Engineering, Autonomous University of Yucatan~(UADY), Merida, Mexico, in 2014. Then, she got her Ph.D. degree in Electronics Engineering from the School of Sciences, Autonomous University of San Luis Potosi (UASLP), San Luis Potosi, Mexico, in 2018. From 2023 to early 2025, she was a Post-Doctoral Researcher at the School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Nuevo Leon, Mexico. She is currently a full-time Professor at the Universidad Politecnica de Yucatan in Ucu, Yucatan, Mexico. Her current research interests include modeling of switched converters, the repetitive control for harmonic compensation, signal processing, and real-time simulations. Dr. Catzin-Contreras is a member of the National Research Fellows System level 1 (SNII-1), CONAHCyT, Mexico.

Gerado Escobar, Tecnologico de Monterrey

Gerardo Escobar received the Ph.D. degree in automatic control from the Signals and Systems Lab. LSS-SUPELEC, Université de Paris XI, France, in 1999. From 2008 to 2012, he was a Principal Scientist with the Power Electronics Group, ABB Switzerland Ltd., Zurich, Switzerland. He is currently a Professor-Researcher with the School of Engineering and Sciences, Tecnologico de Monterrey, Nuevo Leon, Mexico. His main research interests include modeling, analysis, and control design of power electronic systems, and their applications in renewable energy systems, power quality, grid integration, active filters, inverters, dc–dc converters, multilevel converters, batteries, electrical drives, wind power, photovoltaic systems; as well as nonlinear control design, adaptive control, repetitive control, and their applications in current control, voltage balance, grid synchronization and harmonic compensation, among others. Dr. Escobar is a member of the National Research Fellows System level 3 (SNII-3), CONAHCyT, Mexico. He was an AE for the IEEE Transactions on Industrial Electronics from 2007 to 2016. He has been an Associate Editor (AE) for the IEEE Transactions on Power Electronics since 2013.

Andres Alejandro Valdez-Fernandez, Universidad Autonoma de San Luis Potosi

Andrés A. Valdez-Fernández received the Ph.D. degree in control and dynamical systems from the Potosi Institute of Scientific and Technological Research (IPICyT), Mexico, in 2009. From 2008 to 2012, he was a full-time Professor-Researcher with the National Technological Institute of Mexico, Technological Institute of Superior Studies of Irapuato (TecNM-ITESI), Mexico. He is currently a full-time Professor-Researcher with the School of Sciences, Autonomous University of San Luis Potosi (UASLP), Mexico. His research interests include analysis, modelling, and control design and fault diagnosis of active power filters, inverters, rectifiers, renewable energy systems and e-mobility systems. Dr. Valdez-Fernández is a member of the National Research Fellows System level 2 (SNII-2), CONAHCyT, Mexico.

Manuel J. Lopez-Sanchez, Universidad Autonoma de Yucatan

Manuel Jesus Lopez-Sanchez received the B.Eng. degree in electronics from the Technological Institute of Mérida, Mérida, Mexico, in 2003 and the M.Sc. degree in electronics from the National Institute of Astrophysics, Optics and Electronics, Puebla, Mexico, in 2007. In August 2008, he joined the School of Engineering, Autonomous University of Yucatan, Mérida, where he is currently a Full Professor. His main research interests include the control design of power electronic and renewable energy systems and the design of digital systems.

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Published

2025-03-07

How to Cite

Catzin-Contreras, G. A. ., Escobar, G. ., Valdez-Fernandez, A. A., & Lopez-Sanchez, M. J. . (2025). Dynamic Phasor Modeling of the Single-Phase MMC under Modulation PSC-PWM. IEEE Latin America Transactions, 23(4), 353–361. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/9305

Issue

Vol. 23 No. 4 (2025): Ordinary Issue

Section

Electronics