A Novel Approach to Performance Evaluation of Current Controllers in Power Converters and Electric Drives Using Non-Parametric Analysis

Authors

Keywords:

current controllers, power converters, electric motors, decision-making, non-parametric methodology

Abstract

In the field of current controllers for power converters and electric motor units, conventional figures of merit (FMs) such as mean squared error (MSE), integral of time multiplied by absolute error (ITAE), or total harmonic distortion (THD) have traditionally been used. The stochastic nature of these FMs introduces variability, which often results in inaccurate comparisons of the controllers' performance. To address this issue, a parametric statistical methodology has recently been proposed. However, it presents certain limitations, such as the assumption of normality. In response to this, the adoption of a non-parametric methodology is suggested in this work, which promises a precise evaluation of the efficiency of current controllers. In this study, we demonstrate that, under parametric approach, when the assumption of normality is violated, there is a significant increase in Type I error. Furthermore, we show that the non-parametric Mann-Whitney U test offers greater sensitivity compared to its parametric counterpart under these circumstances. Thus, the newly proposed methodology aims to optimize the decision-making process in designing high-performance current controllers for applications in power converters and electric motors. This allows for design decisions grounded in rigorous and statistically-based evaluations. The effectiveness of this methodology is confirmed through its application to a real dataset, enhancing its practicality and contributing to a deeper understanding of the subject matter.

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Author Biographies

Gustavo Ignacio Rivas-Martínez, Universidad Nacional de Asunción, Facultad de Ciencias Exactas y Naturales

Gustavo Ignacio Rivas-Martínez was born in Asuncion, Paraguay, in 1980. He attained his B.Sc. and M.Sc. degrees in Statistics from the Universidad Nacional de Asunción (UNA), Paraguay, in 2008 and 2012, respectively. Later, he completed his Ph.D. in Statistics and Operations Research at the Universidad de Sevilla, Spain, in 2017. He holds a position as a full professor in the Statistics Department of the Faculty of Exact and Natural Sciences at the UNA. His academic pursuits are centered on statistical inference methods, encompassing application and theoretical advancements in hypothesis testing across diverse scientific domains.

Jorge Rodas, Laboratory of Power and Control Systems, Facultad de Ingenieria, Universidad Nacional de Asuncion

Jorge Rodas (S'08--M'12--SM'19) obtained his PhD through a joint university program between Universidad Nacional de Asuncion (UNA) and Universidad de Sevilla in 2016. He is a Professor and Research Director at Facultad de Ingenieria, UNA. With over 130 published papers, his research focuses on advanced control applications for power electronic converters, renewable energy systems, and electric motor drives. He received the Paraguayan National Science Award. Dr. Rodas is a fellow of the Institute of Engineering and Technology, U.K.

Edher Herrera, Department of Physics, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Asuncion

Edher Herrera Graduated in Physics from the National University of Asuncion (UNA), holding a Master's degree in Physics from the State University of Londrina (UEL), and is currently a doctoral student at the Brazilian Center for Physical Research (CBPF).

Jesús Doval-Gandoy, Applied Power Electronics Technology Research Group, University of Vigo

Jesús Doval-Gandoy (M’99) received the M.S. and Ph.D. degrees in electrical engineering from the Polytechnic University of Madrid, Madrid, Spain, and from the University of Vigo, Vigo, Spain, in 1991 and 1999, respectively. He is a Professor and the Head of the Applied Power Electronics Technology Research Group (APET), University of Vigo. His research interests are in the areas of ac power conversion.

References

X. Liu, H. Yang, H. Lin, F. Yu and Y. Yang, ”A Novel Finite-Set Sliding-

Mode Model-Free Predictive Current Control for PMSM Drives Without

DC-Link Voltage Sensor,” in IEEE Transactions on Power Electronics,

vol. 39, no. 1, pp. 320-331, Jan. 2024, doi: 10.1109/TPEL.2023.3322400.

G. Mathesh and R. Saravanakumar, ”A Novel Intelligent Controller-

Based Power Management System With Instantaneous Reference Current

in Hybrid Energy-Fed Electric Vehicle,” in IEEE Access, vol. 11, pp.

-137865, 2023, doi: 10.1109/ACCESS.2023.3339249.

F. Bu et al., ”Dynamic-Decoupled Current Control Based on Reduced-

Order Observer for Dual Stator-Winding Induction Generator,” in IEEE

Journal of Emerging and Selected Topics in Power Electronics, doi:

1109/JESTPE.2023.3340339.

I. Oliani, R. Figueiredo, L. F. N. Lourenc ̧o, A. Pelizari and A. J. S.

Filho, ”Robust Predictive Current Control Using Discrete-Time Integral

Action for Induction Motors,” in IEEE Journal of Emerging and Selected

Topics in Power Electronics, vol. 11, no. 6, pp. 5766-5773, Dec. 2023,

doi: 10.1109/JESTPE.2023.3316828.

L. Xing, Q. Wei and Y. Li, ”A PWM Current-Source Converter-

Based Wind Energy Conversion System,” in IEEE Transactions on

Power Electronics, vol. 39, no. 2, pp. 2787-2797, Feb. 2024, doi:

1109/TPEL.2023.3333315.

A. Mansuri, R. Maurya, S. M. Suhel and A. Iqbal, ”Novel SV-

PWM Strategies for Six-Phase Induction Motor Drive With Reduced

Switching Losses and Common-Mode Voltage,” in IEEE Transactions

on Power Electronics, vol. 39, no. 1, pp. 14-24, Jan. 2024, doi:

1109/TPEL.2023.3325944.

J. Rodriguez et al., ”Latest Advances of Model Predictive Control in

Electrical Drives—Part I: Basic Concepts and Advanced Strategies,” in

IEEE Transactions on Power Electronics, vol. 37, no. 4, pp. 3927-3942,

April 2022, doi: 10.1109/TPEL.2021.3121532.

J. Rodriguez et al., ”Latest Advances of Model Predictive Control in

Electrical Drives—Part II: Applications and Benchmarking With Classical

Control Methods,” in IEEE Transactions on Power Electronics, vol. 37,

no. 5, pp. 5047-5061, May 2022, doi: 10.1109/TPEL.2021.3121589.

C. Liguori, A. Ruggiero, P. Sommella, D. Russo, “Choosing Bootstrap

Method for the Estimation of the Uncertainty of Traffic Noise Measure-

ments,” IEEE Transactions on Instrumentation and Measurement, vol. 66,

no. 5, pp. 869-878, May 2017, doi: 10.1109/TIM.2016.2627260.

Hou, B., Wang, D., Wang, Y., Yan, T., Peng, Z., Tsui, K. L. “Adaptive

weighted signal preprocessing technique for machine health monitoring,”

IEEE Transactions on Instrumentation and Measurement, vol. 70, pp.

-11, 2020, doi: 10.1109/TIM.2020.3033471

G. I. Rivas-Mart ́ınez, J. Rodas and J. D. Gandoy, ”Statistical Tools

to Evaluate the Performance of Current Control Strategies of Power

Converters and Drives,” in IEEE Transactions on Instrumentation

and Measurement, vol. 70, pp. 1-11, 2021, Art no. 1006111, doi:

1109/TIM.2021.3064807.

M. D’Arco, A. Liccardo, N. Pasquino, “ANOVA-Based Approach

for DAC Diagnostics,” IEEE Transactions on Instrumentation and

Measurement, vol. 61, no. 7, pp. 1874-1882, Jul. 2012, doi:

1109/TIM.2011.2182251

A. Mingotti, L. Peretto, R. Tinarelli, K. Yigit, “Simplified Ap-

proach to Evaluate the Combined Uncertainty in Measurement In-

struments for Power Systems,” IEEE Transactions on Instrumentation

and Measurement, vol. 66, no. 9, pp. 2258-2265, Set. 2017, doi:

1109/TIM.2017.2677620

C. Yang and H. Fang, ”A New Nonlinear Model-Based Fault De-

tection Method Using Mann–Whitney Test,” in IEEE Transactions on

Industrial Electronics, vol. 67, no. 12, pp. 10856-10864, Dec. 2020, doi:

1109/TIE.2019.2958297.

M. Fetaji, L. Morina and B. Fetaji, ”Devising and evaluating B2B

conceptual model for B2B portal for mobile interactive devices us-

ing Mann-Whitney U test,” in 6th Mediterranean Conference on Em-

bedded Computing (MECO), Bar, Montenegro, pp. 1-4, 2017, doi:

1109/MECO.2017.7977139.

F. Tolner, B. Barta and G. Eigner, ”Economic Cohesion Perspectives

of the EU member Regions: A Non-parametric Approach,” in IEEE

th International Symposium on Applied Computational Intelligence and

Informatics (SACI), Timisoara, Romania, pp. 000323-000328, 2022, doi:

1109/SACI55618.2022.9919533.

K.T. Jafseer, S. Shailesh, A. Sreekumar, ”Feature Drift Detection

using Overlapping Window and Mann-Whitney U Test,” in 4th In-

ternational Conference on Innovative Trends in Information Technol-

ogy (ICITIIT), Kottayam, India, pp. 1-5, 2023, doi: 10.1109/ICI-

TIIT57246.2023.10068710.

Y. Cheng, W. Jia, R. Chi and A. Li, ”A Clustering Analysis Method

With High Reliability Based on Wilcoxon-Mann-Whitney Testing,”

in IEEE Access, vol. 9, pp. 19776-19787, 2021, doi: 10.1109/AC-

CESS.2021.3053244.

Uncertainty of Measurement—Guide to the Expression of Uncertainty

in Measurement (JCGM 100:2008), document ISO/IEC Guide 98-3:2008,

International Standardization Organization, Geneva, Switzerland, 2008.

By Student, “The probable error of a mean,” Biometrika, vol. 6, pp.

-25, 1908. doi: 10.2307/2331554

B.L. Welch, “Generalization of student’s problem when several different

population variances are involved,” Biometrika, vol. 34, pp. 28-35, 1947.

doi: 10.1093/biomet/34.1-2.28

Mann, H. B., Whitney, D. R., “On a test of whether one of two random

variables is stochastically larger than the other,” Annals of Mathematical

Statistics, vol. 18, 50– 60, 1947.

Wilcoxon, F., “Individual comparisons by ranking methods,” Biometrics

Bulletin, vol. 1, 80– 83, 1945. doi: 10.1007/978-1-4612-4380-916

M. Hollander, D.A. Wolfe, “Nonparametric Statistical Methods”, John

Wiley & Sons, pp. 27–33 (one-sample), 68–75 (two-sample), 1999.

R Core Team, R: A language and environment for statistical computing.

R Foundation for Statistical Computing, Vienna, Austria, 2019.URL

http://www.R-project.org/

H. S. Che, M. J. Duran, E. Levi, M. Jones, W. Hew and N. A. Rahim,

“Postfault Operation of an Asymmetrical Six-Phase Induction Machine

With Single and Two Isolated Neutral Points,” IEEE Transactions on

Power Electronics, vol. 29, no. 10, pp. 5406-5416, Oct. 2014. doi:

1109/TPEL.2013.2293195

E. Levi, R. Bojoi, F. Profumo, H. A. Toliyat and S. Williamson,

“Multiphase induction motor drives - a technology status review,” IET

Electric Power Applications, vol. 1, no. 4, pp. 489-516, Jul. 2007. doi:

1049/iet-epa:20060342

A. Labak and N. C. Kar, “Designing and Prototyping a Novel Five-

Phase Pancake-Shaped Axial-Flux SRM for Electric Vehicle Application

Through Dynamic FEA Incorporating Flux-Tube Modeling,” IEEE Trans-

actions on Industry Applications, vol. 49, no. 3, pp. 1276-1288, May-June

doi: 10.1109/TIA.2013.2252871

A. Pantea et al., “Fault-Tolerant Control of a Low-Speed Six-Phase

Induction Generator for Wind Turbines,” IEEE Transactions on In-

dustry Applications, vol. 55, no. 1, pp. 426-436, Jan.-Feb. 2019. doi:

1109/TIA.2018.2870385

F. Barrero and M. J. Duran, “Recent Advances in the Design, Modeling,

and Control of Multiphase Machines—Part I,” IEEE Transactions on

Industrial Electronics, vol. 63, no. 1, pp. 449-458, Jan. 2016. doi:

1109/TIE.2015.2447733

J. K. Pandit, M. V. Aware, R. V. Nemade and E. Levi, “Direct Torque

Control Scheme for a Six-Phase Induction Motor With Reduced Torque

Ripple,” IEEE Transactions on Power Electronics, vol. 32, no. 9, pp.

-7129, Sept. 2017. doi: 10.1109/TPEL.2016.2624149

R. Bojoi, M. Lazzari, F. Profumo and A. Tenconi, “Digital field-oriented

control for dual three-phase induction motor drives,” IEEE Transactions

on Industry Applications, vol. 39, no. 3, pp. 752-760, May-Jun. 2003.

doi: 10.1109/TIA.2003.811790

Y. Kali, M. Ayala, J. Rodas, M. Saad, J. Doval-Gandoy, R. Gregor, K.

Benjelloun, “Current Control of a Six-Phase Induction Machine Drive

Based on Discrete-Time Sliding Mode with Time Delay Estimation,”

Energies, vol. 12, pp. 170, 2019. doi: 10.3390/en12010170

J. Rodas, F. Barrero, M.R. Arahal, C. Mart ́ın, and R. Gregor, “On-

Line Estimation of Rotor Variables in Predictive Current Controllers: a

Case Study using Five-Phase Induction Machines,” IEEE Transactions

on Industrial Electronics, vol. 63, no. 9, pp. 5348-5356, Sep. 2016. doi:

1109/TIE.2016.2559420

M. A. Fnaiech, F. Betin, G. Capolino and F. Fnaiech, “Fuzzy Logic and

Sliding-Mode Controls Applied to Six-Phase Induction Machine With

Open Phases,” IEEE Transactions on Industrial Electronics, vol. 57, no.

, pp. 354-364, Jan. 2010. doi: 10.1109/TIE.2009.2034285

Rodriguez, J. and Cortes, P., “Predictive control of power convert-

ers and electrical drives”, John Wiley & Sons, vol. 40, 2012. doi:

1002/9781119941446

J. Rodas, C. Mart ́ın, M. R. Arahal, F. Barrero and R. Gregor, “Influence

of Covariance-Based ALS Methods in the Performance of Predictive

Controllers With Rotor Current Estimation,” IEEE Transactions on In-

dustrial Electronics, vol. 64, no. 4, pp. 2602-2607, Apr. 2017. doi:

1109/TIE.2016.2636205

O. Gonzalez, M. Ayala, J. Doval-Gandoy, J. Rodas, R. Gregor, M.

Rivera, “Predictive-Fixed Switching Current Control of a Six-Phase

Induction Machine,” Energies, vol. 12, no. 12, pp. 2294, 2019. doi:

3390/en12122294

Published

2024-12-16

How to Cite

Rivas-Martínez, G. I., Rodas, J., Herrera, E., & Doval-Gandoy, J. (2024). A Novel Approach to Performance Evaluation of Current Controllers in Power Converters and Electric Drives Using Non-Parametric Analysis. IEEE Latin America Transactions, 23(1), 68–77. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/9139

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Electronics