Enhancement of Weighting Coefficient Selection using Grey Relational Analysis for Model Predictive Torque Control of PMSM Drive: Analysis and Experiments
DOI:
https://doi.org/10.13052/dgaej2156-3306.3854Keywords:
Grey Relational Analysis (GRA), Model Predictive Torque Control (MPTC), Objective Function (OF) Optimization, PMSM, Weighting Coefficient (WC)Abstract
Permanent magnet synchronous motor (PMSM) with model predictive torque control (MPTC) is popular for its simplified control structure and adaptable in incorporating control parameters into the control algorithm. However, in control technique the primary concern for objective function (OF) depends on the selection of appropriate weighting coefficient (WC). Basically, for weighting coefficient selection, empirical methods are used but it takes additional time and heuristic process. In this paper, Grey Relational Analysis (GRA) technique is introduced in optimization of objective function for selection of appropriate weighting coefficient. In this methodology, stator flux and torque having individual OF are modified from single-OF. This ensures that in each sampling period, selection of grey relational optimal control action is dependent on the preference given to the control parameters in OF. For each sampling, a Grey Relational Grade (GRG) is employed to determine the appropriate control action. The models for two-level inverter fed PMSM are developed in MATLAB/Simulink to test the various operations of PMSM drive and the results are validated on the experimental test bench using dSPACE-1104 R&D controller. In order to highlight the effectiveness of the proposed technique, the results are compared with DTFC and MPTC approach.
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R. Pothuraju, R. Tejavathu, A. K. Panda, ‘Multilevel Inverter fed Direct Torque and Flux Control-Space Vector Modulation of Speed Sensorless Permanent Magnet Synchronous Motor drive with Improved Steady State and Dynamic Characteristics’, International Journal of Circuit Theory and Application. 1–18; 2022.
C. Qu, Z. Ge, C. Yang, and X. Wang, “Optimization and Simulation of Auxiliary Magnetic Barrier Permanent Magnet Synchronous Machine for Wind Turbine”, DGAEJ, vol. 37, no. 3, pp. 501–524, Dec. 2021.
A. Vujji and R. Dahiya, “Speed Estimator for Direct Torque and Flux Control of PMSM Drive using MRAC based on Rotor flux,” 2020 IEEE 9th Power India International Conference (PIICON), 2020, pp. 1–6, doi: 10.1109/PIICON49524.2020.9113030.
P. D. Kumar & R. Tejavathu, ‘Investigation of Torque Ripple Behaviour for Five-Level Inverter-Fed Modified Model Predictive Torque Control-Based PMSM Drive’, IETE Technical Review, 2022.
K. Eshwar, K. M. Ravi Eswar, & T. V. Kumar, ‘An effective predictive torque control scheme for PMSM drive without involvement of weighting factors’, IEEE Journal of Emerging and Selected Topics in Power Electronics, 9(3), 2685–2697, 2020.
I. Benhamida, A. Ameur, K. Kouzi, et al., ‘Torque Ripple Minimization in Predictive Torque Control Method of PMSM Drive Using Adaptive Fuzzy Logic Modulator and EKF Estimator’, J Control Autom Electr Syst 30, 1007–1018, 2019.
M. B. Tirumalasetti; U. B. Manthati, P. Srinivas, C. R. Arunkumar, “A Novel Predictive Control Scheme for Interleaved Buck Converter in Low Power Applications”, DGAEJ, 37, 609–630, 2022.
M. A. Husain, R. Rajput, M. K. Gupta, M. Tabrez, M. W. Ahmad, and F. I. Bakhsh, “Design and Implementation of Different Drive Topologies for Control of Induction Motor for Electric Vehicle Application”, DGAEJ, vol. 37, no. 4, pp. 999–1026, Apr. 2022.
A. Vujji and R. Dahiya, “Design of PI Controller for Space Vector Modulation based Direct Flux and Torque Control of PMSM Drive,” 2020 First IEEE International Conference on Measurement, Instrumentation, Control and Automation(ICMICA),2020, pp. 1–6, doi: 10.1109/ICMICA48462.2020.9242812.
A. Rojas, J. Rodriguez, F. Villarroel, J. Espinoza, and D. A. Khaburi, ‘Multi objective fuzzy predictive torque control of an induction motor drive’, in Proc. 6th Power Electron., Drive Syst. Technol. Conf., pp. 201–206, 2015.
E. Kusuma, & V. K. Thippiripati, ‘Effective predictive torque control scheme for four-level open-end winding permanent magnet synchronous motor drive’, International Transactions on Electrical Energy Systems, 30(10), e12536, 2020.
C. A. Rojas, J. Rodriguez, F. Villarroel, J. R. Espinoza, C. A. Silva, and M. Trincado, ‘Predictive torque and flux control without weighting factors’, IEEE Trans. Ind. Electron., vol. 60, no. 2, pp. 681–690, 2013.
V. P. Muddineni, A.K. Bonala, and S. R. Sandepudi, ‘Enhanced weighting factor selection for predictive torque control of induction motor drive based on VIKOR method’, IET Electr. Power Appl., vol. 10, no. 9, pp. 877–888, 2016.
A. Vujji, & R. Dahiya, ‘Experimental Evaluation of VIKOR-Based Cost Function Optimization of Finite Control Set-Predictive Torque Control for Permanent Magnet Synchronous Motor Drive’, Journal of Failure Analysis and Prevention, 1–16, 2022.
V. P. Muddineni, A. K. Bonala and S. R. Sandepudi, ‘Grey relational analysis -based objective function optimization for predictive torque control of induction machine’, IEEE Transactions on Industry Applications, 57(1), pp. 835–844, 2020.
V. P. Muddineni, S. R. Sandepudi, & A. K. Bonala, ‘Improved weighting factor selection for predictive torque control of induction motor drive based on a simple additive weighting method’, Electric Power Components and Systems, 45(13), 1450–1462, 2017.
A. Vujji, R. Dahiya, Real-Time Implementation for Improvement of Weighting Coefficient Selection using Weighted Sum Method for Predictive Torque Control of PMSM Drive. Arab J Sci Eng, https://doi.org/10.1007/s13369-022-07430-z, 2022.
C. A. Rojas, J. R. Rodriguez, S. Kouro, and F. Villarroel, ‘Multiobjective fuzzy-decision-making predictive torque control for an induction motor drive’, IEEE Trans. Power Electron., vol. 32, no. 8, pp. 6245–6260, 2017.
P. R. U. Guazzelli, W. C. de Andrade Pereira, C. M. R. de Oliveira, A. G. de Castro, and M. L. de Aguiar, ‘Weighting factors optimization of predictive torque control of induction motor by multiobjective genetic algorithm’, IEEE Trans. Power Electron., vol. 34, no. 7, pp. 6628–6638, 2019.
M. Siami, D. A. Khaburi and J. Rodriguez, ‘Simplified finite control set-model predictive control for matrix converter-fed PMSM drives’, IEEE Trans. Power Electron., vol. 33, no. 3, pp. 2438–2446, 2018.
Y. Zhang and H. Yang, ‘Model-predictive flux control of induction motor drives with switching instant optimization’, IEEE Trans. Energy Convers., vol. 30, no. 3, pp. 1113–1122, 2015.
Y. Zhang and H. Yang, ‘Two-vector-based model predictive torque control without weighting factors for induction motor drives’, IEEE Trans. Power Electron., vol. 31, no. 2, pp. 1381–1390, 2016.
P. Chen, T. Pan & S. Chen, ‘Development of Double Closed-loop Vector Control Using Model Predictive Control for Permanent Magnet Synchronous Motor’, J Control Autom Electr Syst 32, 774–785, 2021.
Z. Chen, J. Qiu, and M. Jin, ‘Adaptive finite-control-set model predictive current control for IPMSM drives with inductance variation’, IET Electr. Power Appl., vol. 11, no. 5, pp. 874–884, 2017.
Z. Lu, R. Zhang, L. Hu, L. Gan, J. Lin, and P. Gong, ‘Model predictive control of induction motor based on amplitude-phase motion equation’, IET Power Electron., vol. 12, no. 9, pp. 2400–2406, 2019.
J. F. Stumper, V. Hagenmeyer, S. Kuehl, and R. Kennel, ‘Deadbeat control for electrical drives: A robust and performant design based on differential flatness’, IEEE Trans. Power Electron., vol. 30, no. 8, pp. 4585–4596, 2015.
P. Cortes et al., ‘Guidelines for weighting factors design in model predictive control of power converters and drives’, Proc. IEEE Int. Conf. Ind. Technol., pp. 1–7, 2009.
S. Thielemans, J. Melkebeek, and T. J. Vyncke, ‘Weight factor selection for model-based predictive control of a four-level flying-capacitor inverter’, IET Power Electron., vol. 5, no. 3, pp. 323–333, 2012.
S. A. Davari, D. A. Khaburi, and R. Kennel, ‘An improved FCS-MPC algorithm for an induction motor with an imposed optimized weighting factor’, IEEE Trans. Power Electron., vol. 27, no. 3, pp. 1540–1551, 2012.
F. Villarroel, J. R. Espinoza, C. A. Rojas, J. Rodriguez, M. Rivera, and D. Sbarbaro, ‘Multiobjective switching state selector for finite-states model predictive control based on fuzzy decision making in a matrix converter’, IEEE Trans. Ind. Electron., vol. 60, no. 2, pp. 589–599, 2013.
O. Machado, F. J. Rodriguez, E. J. Bueno, and P. Martin, ‘A neural network-based dynamic cost function for the implementation of a predictive current controller’, IEEE Trans. Ind. Informat., vol. 13, no. 6, pp. 2946–2955, 2017.
A. Bhowate, M. Aware, and S. Sharma, ‘Predictive torque control with online weighting factor computation technique to improve performance of induction motor drive in low speed region’, IEEE Access, vol. 7, pp. 42309–42321, 2019.
M. Velasquez, and P. T. Hester, ‘An Analysis of Multi-Criteria Decision Making Methods’, Int. J. Oper. Res., vol. 10, no. 2, pp. 56–66, 2013.
K. S. Prasad, S. R. Chalamalasetti, and N. R. Damera, ‘Application of grey relational analysis for optimizing weld bead geometry parameters of pulsed current micro plasma arc welded Inconel 625 sheets’, Int. J. Adv. Manuf. Technol., vol. 78, nos. 1–4, pp. 625–632, 2014.
M. H. Arshad, M. A. Abido, A. Salem and A. H. Elsayed, ‘Weighting factors optimization of model predictive torque control of induction motor using NSGA-II with TOPSIS decision making’, IEEE Access, vol. 7, pp. 177595–177606, 2019.