Factor Models of Proportional-Integral Controller Optimum Factors Based on Simulation Modelling of Hybrid Stepper Vector Control System
DOI:
https://doi.org/10.22213/2410-9304-2022-4-90-97Keywords:
hybrid stepper motor, field-oriented control, feedback control, PI controller, simulationAbstract
The article presents simulation modeling of the closed loop field-oriented control system of hybrid stepper. The bandwidth of the current loop was 1370 Hz, speed loop - 350 Hz. Using optimizer for determining regulator terms significantly improved the performance compared to classical methods. The focus of optimization was the settling time, value of overshooting on step response and steady-state error. The factor models of optimal proportional-integral gains for hybrid stepper 34HS5435C-02B2 are designed using regression analysis at different load torques and total inertia. Analyses of the obtained dependencies showed that the proportional gain (KP) is most affected by the load torque (TL), while the integral gain (KI) by the inertia (J). The largest value of KP = 3,049 is found with TL = 10 Nm, J = 15Jm, the smallest value of KP = 0.03 for TL = 0 Nm, J = Jm, while the highest value KI = 1,036 is found with TL = 10 Nm, J = 7.5 Jm, the smallest value of KI =0.12 for TL = 0 Nm, J = Jm (where Jm is rotor inertia). This model can be used in adaptive control systems that meet the requirements of rapid and precision operations.References
Lin O, Schagin A., Naung Y, Kyaw Z., Khaing Z., Modelling and control of an open-loop stepper motor in Matlab/Simulink, IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus). 2017, pp. 869-872. doi:10.1109/EIConRus. 2017.7910693.
Санников П. А., Лекомцев П. В. Предпосылки к разработке системы управления шаговым электроприводом с обратной связью // Выставка инноваций - 2021 (весенняя сессия) : сборник материалов XXXI Республиканской выставки-сессии студенческих инновационных проектов и XL Научно-технической конференции молодежи АО «ИЭМЗ «Купол», Ижевск, 23 марта 2021 года. Ижевск : Изд-во УИР ИжГТУ имени М. Т. Калашникова, 2021. С. 142-146.
Normanyo E., Agyare O. R., Rashid R. A., Matlab Implementation of Position Control of a Hybrid Stepper Motor Using Fuzzy Logic Controller, IEEE AFRICON Conference : Powering Africa Sustainable Energy for All Agenda: The Role of ICT and Engineering, Accra, 2019. P. 9134047, DOI 10.1109/ AFRICON46755.2019.9134047.
Takebayashi T., Cho D., Gokhale D., Tomov P., Stepping motor control system and method for controlling a stepping motor using closed and open loop controls, August 19 2007. US Patent App. 11/206,943.
Kim W., Yang C., Chung C. Design and implementation of simple field-oriented control for permanent magnet stepper motors without DQ transformation, IEEE Trans. Magnet., Vol. 47, No. 10, pp. 4231-4234, 2011.
Lekomtsev P. V. Discrete model of hybrid stepper motor by optimal state space control, IOP Conference Series: Materials Science and Engineering, Sevastopol, 2020, P. 052022. DOI 10.1088/1757-899X/971/5/052022.
Lequin O., Gevers M., Mossberg M., Bosmans E., Triest L., Iterative feedback tuning of PID parameters: Comparison with classical tuning rules, Control Eng. Pract., Vol. 11, pp. 1023-1033, 2003.
Panda S. K., Lim J. M. S., Bash P. K., Lock K. S., Gain scheduled PI speed controller for PMSM drive, IEEE Industrial Electronics Society International Conference (IECON 97), pp. 925-930, New Orleans, LA, 9-14 November 1997.
Zaky M.S, Ismaeil E.M, Khater M.M. Gain scheduling adaptive proportional-integral controller for a field-oriented control of hybrid stepper motor drives. Electric Power Compon Syst. 2012; 40(7):777-791.
Kellermann, H., Hildinger, P., Brandenburg, G., and Heinzl, J., Field oriented position control of hybrid stepper motor control, Proc. EPE Conf., Vol. 3, pp. 908-913, September 1995.
Ruilope R.P., Modelling and Control of Stepper Motors for High Accuracy Positioning Systems Used in Radioactive Environments, Oct 2014.
Goryachev, O., Stepochkin V., Synthesis of an algorithm for controlling an electric servo drive with a hybrid stepper motor. Journal of Physics: Conference Series, 11 Moscow, 2021. P. 012017. DOI 10.1088/1742-6596/1958/1/012017.
Kien L., Hung H., Jae J., An Advanced Closed-Loop Control to Improve the Performance of Hybrid Stepper Motors. IEEE Transactions on Power Electronics, 2016. doi: 10.1109/TPEL.2016.2623341.
Сидняев Н. И. Теория планирования эксперимента и анализ статистических данных. М. : Юрайт, 2012. 400 с.
Longchamp R., Commande Numrique De Systmes Dynamiques - Cours D’automatique, PPUR Presses polytechniques, 2006.
Hossen M. B., Ghosh B. C. Performance Analysis of a PMBLDC Motor Drive based on ANFIS Controller and PI Controller, 2019 International Conference on Electrical, Computer and Communication Engineering (ECCE), 2019, pp. 1-6, doi: 10.1109/ ECACE.2019.8679434.
Firmansyah R. and Irmawanto R.Comparison Study of PI Controller Tuning Method to Regulate the DC Motor Speed, 2021 3rd International Conference on Research and Academic Community Services (ICRACOS), 2021, pp. 93-97, doi: 10.1109/ ICRACOS53680.2021.9702007.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Павел Александрович Санников, Павел Валерьевич Лекомцев
This work is licensed under a Creative Commons Attribution 4.0 International License.