Nonlinear controller for SEPIC with single variable to tune

  • Youssef El Haj Department of Electrical and Computer Engineering, Ontario Tech University
  • Vijay Sood Department of Electrical and Computer Engineering, Ontario Tech University http://orcid.org/0000-0003-3859-3799
  • Ahmed Sheir Department of Electrical and Computer Engineering, Ontario Tech University
  • Ruth Milman Department of Electrical and Computer Engineering, Ontario Tech University
Keywords: SEPIC, ISMC, systematic design, nonlinear controller

Abstract

This work proposes a systematic approach to design a novel integral sliding mode controller (ISMC) for a single-ended primary-inductor converter (SEPIC) with only one tunable parameter where the upper and the lower bounds are derived. The designed surface results in a minimal chattering behaviour at the output voltage as well as at the duty cycle and allows for operating the SEPIC at a fixed switching frequency. The proposed controller can withstand up to a 70% variation in the input voltage and 100% variation on the load side in addition to superior performance for a cold start. The proposed controller and the corresponding mathematical formulation were simulated in a Simulink environment and experimentally tested via a scaled prototype. The proposed controller performance is also compared to a Type-II and integral Linear-Quadratic Regulators (LQR).

Author Biography

Vijay Sood, Department of Electrical and Computer Engineering, Ontario Tech University

Department of Electrical and Computer Engineering

Professor

References

Kapat S, Krein PT. A Tutorial and Review Discussion of Modulation, Control and Tuning of High-Performance DC-DC Converters Based on Small-Signal and Large-Signal Approaches. IEEE Open Journal of Power Electronics. 2020; 1: 339-371. doi: 10.1109/ojpel.2020.3018311

Ullah Q, Busarello TDC, Brandao DI, et al. Design and Performance Evaluation of SMC-Based DC–DC Converters for Microgrid Applications. Energies. 2023; 16(10): 4212. doi: 10.3390/en16104212

Nicola M, Nicola CI, Selișteanu D. Improvement of the Control of a Grid Connected Photovoltaic System Based on Synergetic and Sliding Mode Controllers Using a Reinforcement Learning Deep Deterministic Policy Gradient Agent. Energies. 2022; 15(7): 2392. doi: 10.3390/en15072392

Erickson RW, Maksimović D. Fundamentals of Power Electronics. Springer US; 2001. doi: 10.1007/b100747

Mohan N. Advanced Electric Drives: Analysis, Control and Modeling Using Simulink by Ned Mohan. Mnpere, 1707.

Aroudi AE, Mandal K, Al-Numay MS, et al. Piecewise Quadratic Slope Compensation Technique for DC-DC Switching Converters. IEEE Transactions on Circuits and Systems I: Regular Papers. 2020; 67(12): 5574-5585. doi: 10.1109/tcsi.2020.2993793

Deisch C. Simple switching control method changes power converter into a current source. 1978 IEEE Power Electronics Specialists Conference. Published online June 1978. doi: 10.1109/pesc.1978.7072368

Liu YF, Meyer E, Xiaodong Liu. Recent Developments in Digital Control Strategies for DC/DC Switching Power Converters. IEEE Transactions on Power Electronics. 2009; 24(11): 2567-2577. doi: 10.1109/tpel.2009.2030809

Khalil H. Nonlinear Systems, 3rd ed. Upper Saddle River, N.J: Pearson, 2001.

Tan SC, Lai YM, Tse CK. General Design Issues of Sliding-Mode Controllers in DC–DC Converters. IEEE Transactions on Industrial Electronics. 2008; 55(3): 1160-1174. doi: 10.1109/tie.2007.909058

Wang J, Rong J, Yu L. Dynamic prescribed performance sliding mode control for DC–DC buck converter system with mismatched time-varying disturbances. ISA Transactions. 2022; 129: 546-557. doi: 10.1016/j.isatra.2022.02.019

Buckner GD. Intelligent bounds on modeling uncertainty: applications to sliding mode control. IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews). 2002; 32(2): 113-124. doi: 10.1109/tsmcc.2002.801350

Pandey SK, Veeranna K, Patil SL, et al. Uncertainty Estimator based Sliding Mode Control Schemes for Multimode Noninverting Buck-Boost DC-DC Converter. IFAC-PapersOnLine. 2020; 53(1): 555-560. doi: 10.1016/j.ifacol.2020.06.093

Zhang L, Wang Z, Li S, et al. Universal finite-time observer based second-order sliding mode control for DC-DC buck converters with only output voltage measurement. Journal of the Franklin Institute. 2020; 357(16): 11863-11879. doi: 10.1016/j.jfranklin.2019.11.057

Hamed SB, Hamed MB, Sbita L. Robust Voltage Control of a Buck DC-DC Converter: A Sliding Mode Approach. Energies. 2022; 15(17): 6128. doi: 10.3390/en15176128

Chincholkar SH, Jiang W, Chan CY. A Modified Hysteresis-Modulation-Based Sliding Mode Control for Improved Performance in Hybrid DC–DC Boost Converter. IEEE Transactions on Circuits and Systems II: Express Briefs. 2018; 65(11): 1683-1687. doi: 10.1109/tcsii.2017.2784549

Wang Y, Duan G, Yu J, et al. Harmonic Analysis of Sliding-Mode-Controlled Buck Converters Imposed by Unmodeled Dynamics of Hall Sensor. Energies. 2023; 16(17): 6124. doi: 10.3390/en16176124

González I, Sánchez-Squella A, Langarica-Cordoba D, et al. A PI + Sliding-Mode Controller Based on the Discontinuous Conduction Mode for a Unidirectional Buck–Boost Converter with Electric Vehicle Applications. Energies. 2021; 14(20): 6785. doi: 10.3390/en14206785

Pandey SK, Patil SL, Phadke SB. Regulation of Nonminimum Phase DC–DC Converters Using Integral Sliding Mode Control Combined with a Disturbance Observer. IEEE Transactions on Circuits and Systems II: Express Briefs. 2018; 65(11): 1649-1653. doi: 10.1109/tcsii.2017.2759908

Ghosh SK, Roy TK, Pramanik MdAH, et al. Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs. Energies. 2021; 14(20): 6753. doi: 10.3390/en14206753

Das S, Salim Qureshi M, Swarnkar P. Design of integral sliding mode control for DC-DC converters. Materials Today: Proceedings. 2018; 5(2): 4290-4298. doi: 10.1016/j.matpr.2017.11.694

Bensaada M, Boudghene Stambouli A. A practical design sliding mode controller for DC–DC converter based on control parameters optimization using assigned poles associate to genetic algorithm. International Journal of Electrical Power & Energy Systems. 2013; 53: 761-773. doi: 10.1016/j.ijepes.2013.05.043

Komurcugil H. Adaptive terminal sliding-mode control strategy for DC–DC buck converters. ISA Transactions. 2012; 51(6): 673-681. doi: 10.1016/j.isatra.2012.07.005

Mahdavi J, Nasiri MR, Agah A, et al. Application of Neural Networks and State-Space Averaging to DC/DC PWM Converters in Sliding-Mode Operation. IEEE/ASME Transactions on Mechatronics. 2005; 10(1): 60-67. doi: 10.1109/tmech.2004.842227

Sarkar TT, Mahanta C. Estimation Based Sliding Mode Control of DC-DC Boost Converters. IFAC-PapersOnLine. 2022; 55(1): 467-472. doi: 10.1016/j.ifacol.2022.04.077

Gireesh G, Seema PN. High frequency SEPIC Converter with PWM Integral Sliding Mode Control. 2015 International Conference on Technological Advancements in Power and Energy (TAP Energy). Published online June 2015. doi: 10.1109/tapenergy.2015.7229651

Salazar-Duque JE, Ortiz-Rivera EI, Gonzalez-Llorente J. Analysis and non-linear control of SEPIC dc-dc converter in photovoltaic systems. 2015 IEEE Workshop on Power Electronics and Power Quality Applications (PEPQA). Published online June 2015. doi: 10.1109/pepqa.2015.7168243

Kavitha A, Indira G, Uma G. Analysis and Control of Chaos in SEPIC DC-DC Converter Using Sliding Mode Control. 2008 IEEE Industry Applications Society Annual Meeting. Published online October 2008. doi: 10.1109/08ias.2008.289

Ablay G. Robust tracking controller for SEPIC drivers. Electronics Letters. 2016; 52(24): 2007-2009. doi: 10.1049/el.2016.3427

Li N, Lin-Shi X, Lefranc P, et al. Universal DC-DC converter using SEPIC. In: Proceedings of the 2011 14th European Conference on Power Electronics and Applications, Aug. 2011, pp. 1–10.

Komurcugil H, Biricik S, Guler N. Indirect Sliding Mode Control for DC–DC SEPIC Converters. IEEE Transactions on Industrial Informatics. 2020; 16(6): 4099-4108. doi: 10.1109/tii.2019.2960067

Jaafar A, Godoy E, Lefranc P, et al. Nonlinear sliding mode observer and control of high order DC-DC converters. IECON 2010—36th Annual Conference on IEEE Industrial Electronics Society. Published online November 2010. doi: 10.1109/iecon.2010.5675208

Basso CP. Designing control loops for linear and switching power supplies: A tutorial guide. Boston: Artech House, 2012.

Published
2024-02-19
How to Cite
Haj, Y. E., Sood, V., Sheir, A., & Milman, R. (2024). Nonlinear controller for SEPIC with single variable to tune. Energy Storage and Conversion, 2(1). https://doi.org/10.59400/esc.v2i1.426
Section
Article