Impact of fractional filter in PI control loop applied to induction motor speed drive
DOI:
https://doi.org/10.20998/2074-272X.2022.5.03Keywords:
fractional filter, first order filter, index performance, induction machine, PI controllerAbstract
Introduction. One of the main problems of electrical machine control systems is to obtain a satisfactory performance in the rejection of load disturbances, as well as in the set-point tracking tasks. Generally, the development of control algorithms does not take into account the presence of noise. Appropriate filtering is, therefore, essential to reduce the impact of noise on the output of the controller, in addition to the machine output. Recently, there has been a great tendency toward using fractional calculus to solve engineering problems. The filtering is one of the fields in which fractional calculus has received great attention. The importance of filters in signal processing and other engineering areas is unquestionable Novelty. The proposed work is intended to be a contribution in the recent works conducted on the influence of the fractional filtering on the control robustness of induction machines control. Purpose. The main contribution of this research is the application of fractional filtering to the standard PI control loop for an induction motor speed drive. Methods. In order to assess its impact and benefit, different structures for introducing the filters are investigated, A first order filter is considered in different positions, whether before or after the controller or even in both positions at the same time, with a noise source. A review of the index performance evolution (the Integral Square Error, Integral Absolute Error and Integral Time Absolute Error) has allowed a configuration design of the filter. Results. Intensive simulations were performed with a control setup using integer and fractional order filters, which permitted to conclude that the fractional filters give better performance indices compared to the integer one and thus improve the dynamic characteristics of the system.
References
Ahmed S., Ahmed A., Mansoor I., Junejo F., Saeed A. Output Feedback Adaptive Fractional-Order Super-Twisting Sliding Mode Control of Robotic Manipulator. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 2021, vol. 45, no. 1, pp. 335-347. doi: https://doi.org/10.1007/s40998-020-00364-y.
Djebbri S., Ladaci S., Metatla A., Balaska H. Fractional-order model reference adaptive control of a multi-source renewable energy system with coupled DC/DC converters power compensation. Energy Systems, 2020, vol. 11, no. 2, pp. 315-355. doi: https://doi.org/10.1007/s12667-018-0317-5.
Ladaci S., Charef A. On Fractional Adaptive Control. Nonlinear Dynamics, 2006, vol. 43, no. 4, pp. 365-378. doi: https://doi.org/10.1007/s11071-006-0159-x.
Azimi M., Toossian Shandiz H. Simultaneous Fault Detection and Control Design for Linear Fractional-Order Systems. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 2020, vol. 44, no. 1, pp. 485-494. doi: https://doi.org/10.1007/s40998-019-00250-2.
Khosravi S., Hamidi Beheshti M.T., Rastegar H. Robust Control of Islanded Microgrid Frequency Using Fractional-Order PID. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 2020, vol. 44, no. 3, pp. 1207-1220. doi: https://doi.org/10.1007/s40998-019-00303-6.
Rafiei S.A., Sheikhzadeh H., Sabbaqi M. A New Reduced-Interference Source Separation Method Based on a Complementary Combination of Masking Algorithm and Mixing Matrix Estimation. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 2020, vol. 44, no. 4, pp. 1529-1547. doi: https://doi.org/10.1007/s40998-020-00326-4.
Boudana M., Ladaci S., Loiseau J.-J. Fractional Order PIλDµ Control Design for a Class of Cyber-Physical Systems with Fractional Order Time-Delay models. International Journal of Cyber-Physical Systems, 2019, vol. 1, no. 2, pp. 1-18. doi: https://doi.org/10.4018/IJCPS.2019070101.
Astrom K.J., Hagglund T. Advanced PID control. ISA Publ., 2006. 461 p.
Segovia V.R., Hagglund T., Astrom K.J. Noise filtering in PI and PID Control. 2013 American Control Conference, 2013, pp. 1763-1770. doi: https://doi.org/10.1109/ACC.2013.6580091.
Hägglund T. A unified discussion on signal filtering in PID control. Control Engineering Practice, 2013, vol. 21, no. 8, pp. 994-1006. doi: https://doi.org/10.1016/j.conengprac.2013.03.012.
Radwan A.G., Soliman A.M., Elwakil A.S. First-order filters generalized to the fractional domain. Journal of Circuits, Systems and Computers, 2008, vol. 17, no. 01, pp. 55-66. doi: https://doi.org/10.1142/S0218126608004162.
Radwan A.G., Elwakil A.S., Soliman A.M. On the generalization of second-order filters to the fractional-order domain. Journal of Circuits, Systems and Computers, 2009, vol. 18, no. 02, pp. 361-386. doi: https://doi.org/10.1142/S0218126609005125.
Kubanek D., Freeborn T.J., Dvorak J.K., Dvorak J. Transfer Functions of Fractional-Order Band-Pass Filter with Arbitrary Magnitude Slope in Stopband. 2019 42nd International Conference on Telecommunications and Signal Processing (TSP), 2019, pp. 655-659. doi: https://doi.org/10.1109/TSP.2019.8769089.
Pakhira A., Das S., Acharya A., Pan I., Saha S. Optimized quality factor of fractional order analog filters with band-pass and band-stop characteristics. 2012 Third International Conference on Computing, Communication and Networking Technologies (ICCCNT’12), 2012, pp. 1-6. doi: https://doi.org/10.1109/ICCCNT.2012.6396000.
Matos C., Ortigueira M.D. Fractional Filters: An Optimization Approach. In: Camarinha-Matos L.M., Pereira P., Ribeiro L. (eds) Emerging Trends in Technological Innovation. DoCEIS 2010. IFIP Advances in Information and Communication Technology, 2010, vol 314. Springer, Berlin, Heidelberg. doi: https://doi.org/10.1007/978-3-642-11628-5_39.
Ladaci S., Loiseau J.-J., Charef A. Using Fractional order Filter in Adaptive Control of Noisy plants. Third International Conference on Advances in Mechanical Engineering And Mechanics, ICAMEM 2006, vol. 3.
Ladaci S., Bensafia Y. Fractionalization: A New Tool for Robust Adaptive Control of Noisy Plants. IFAC Proceedings Volumes, 2013, vol. 46, no. 1, pp. 379-384. doi: https://doi.org/10.3182/20130204-3-FR-4032.00148.
Monje C.A., Chen Y., Vinagre B.M., Xue D., Feliu V. Fractional-order Systems and Controls. Springer London, 2010. 415 p. doi: https://doi.org/10.1007/978-1-84996-335-0.
Podlubny I. Fractional Differential Equations. Mathematics in Science and Engineering, 1999, vol. 198, 340 p.
Rabah K., Ladaci S., Lashab M. A novel fractional sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems. Pramana, 2017, vol. 89, no. 3, p. 46. doi: https://doi.org/10.1007/s12043-017-1443-7.
Oldham K., Spanier J. The fractional calculus. New York-London, Academic Press, 1974.
Charef A., Sun H.H., Tsao Y.Y., Onaral B. Fractal system as represented by singularity function. IEEE Transactions on Automatic Control, 1992, vol. 37, no. 9, pp. 1465-1470. doi: https://doi.org/10.1109/9.159595.
Bensafia Y., Ladaci S., Khettab K., Chemori A. Fractional order model reference adaptive control for SCARA robot trajectory tracking. International Journal of Industrial and Systems Engineering, 2018, vol. 30, no. 2, p. 138. doi: https://doi.org/10.1504/IJISE.2018.094839.
Neçaibia A., Ladaci S., Charef A., Loiseau J.J. Fractional order extremum seeking approach for maximum power point tracking of photovoltaic panels. Frontiers in Energy, 2015, vol. 9, no. 1, pp. 43-53. doi: https://doi.org/10.1007/s11708-014-0343-5.
De Fornel B., Louis J.-P. Electrical Actuators: Applications and Performance. John Wiley & Sons, 2013. 528 p.
Hassainia S., Toufouti R., Meziane S., Kechida S. Modeling and Control of Induction Motor using Causal Informational Graph. International Journal of Computer Applications, 2014, vol. 104, no. 1, pp. 34-38. doi: https://doi.org/10.5120/18170-9051.
Saleem A., Soliman H., Al-Ratrout S., Mesbah M. Design of a fractional order PID controller with application to an induction motor drive. Turkish Journal of Electrical Engineering & Computer Sciences, 2018, vol. 26, no. 5, pp. 2768-2778. doi: https://doi.org/10.3906/elk-1712-183.
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