Voltage Regulation of Boost Converter Operating under Constant Power Load using Model Predictive Control

Abstract

In this study, the design of a Model Predictive Controller (MPC) is presented to regulate bus voltage and enhance the stability of a DC/DC boost converter in a DC microgrid operating under Constant Power Load (CPL). The primary objective of this study is to develop a nonlinear control technique capable of effectively stabilizing power converters in the presence of CPL, which has the potential to cause significant instability issues. When designing the proposed control approach, it is crucial to consider the nonlinear nature and negative impedance characteristics of CPL. The MPC controller aims to mitigate the instability problems caused by CPL directly connected to a DC/DC boost converter. The proposed controller design ensures that the output voltage follows the predefined reference value, regardless of whether the system operates in continuous or discontinuous current mode. To demonstrate the effectiveness of the designed controller, comparative simulation studies have been conducted. In these simulations, performed using MATLAB/Simulink, the obtained results confirm that the DC bus voltage remains stable at the desired reference value. Furthermore, comparative simulation results were obtained and evaluated to compare the performance of MPC with a conventional PI controller. The simulation results indicate that MPC achieves significantly better tracking of the reference DC bus voltage compared to the conventional PI controller.

Keywords

• Model predictive controller
• Constant power load
• PI controller
• DC/DC boost converter

Model Tahmini Kontrol Kullanılarak Sabit Güç Yükü Altında Çalışan Yükseltici Konvertörün Gerilim Düzenlemesi

Abstract

Bu çalışmada, Sabit Güç Yükü (CPL) altında çalışan bir DC mikro şebekesinde bara voltajını düzenlemek ve DC/DC yükseltici dönüştürücünün kararlılığını artırmak için bir Model Tahmini Denetleyici (MPC) tasarımı sunulmuştur. Bu çalışmanın birincil amacı, önemli istikrarsızlık sorunlarına neden olma potansiyeline sahip CPL varlığında güç dönüştürücülerini etkili bir şekilde stabilize edebilen doğrusal olmayan bir kontrol tekniği geliştirmektir. Önerilen kontrol yaklaşımını tasarlarken, CPL'nin doğrusal olmayan doğasını ve negatif empedans özelliklerini dikkate almak çok önemlidir. MPC denetleyicisi, doğrudan bir DC/DC yükseltici dönüştürücüye bağlanan CPL'nin neden olduğu istikrarsızlık sorunlarını azaltmayı amaçlamaktadır. Önerilen denetleyici tasarımı, sistemin sürekli veya süreksiz akım modunda çalışmasına bakılmaksızın çıkış voltajının önceden tanımlanmış referans değerini takip etmesini sağlar. Tasarlanan denetleyicinin etkinliğini göstermek için karşılaştırmalı simülasyon çalışmaları yürütülmüştür. MATLAB/Simulink kullanılarak gerçekleştirilen bu simülasyonlarda, elde edilen sonuçlar DC bara voltajının istenen referans değerinde kararlı kaldığını doğrulamaktadır. Ayrıca, karşılaştırmalı simülasyon sonuçları elde edildi ve MPC'nin performansını geleneksel bir PI kontrolörüyle karşılaştırmak için değerlendirildi. Simülasyon sonuçları, MPC'nin geleneksel PI kontrolörüne kıyasla referans DC bara geriliminin önemli ölçüde daha iyi izlenmesini sağladığını göstermektedir.

Keywords

• Model öngörücü denetleyici
• Sabit güç yükü
• PI denetleyici
• DC/DC yükseltici dönüştürücü

References

1. [1] H. Matayoshi, M. Kinjo, S. S. Rangarajan, and G. Ganesan, “Energy for Sustainable Development Islanding operation scheme for DC microgrid utilizing pseudo Droop control of photovoltaic system,” Energy Sustain. Dev., vol. 55, pp. 95–104, 2020, doi: 10.1016/j.esd.2020.01.004.
2. [2] S. Poshtkouhi et al., “A dual-active-bridge based bi-directional micro-inverter with integrated short-term Li-Ion ultra-capacitor storage and active power smoothing for modular PV systems,” in Conference Proceedings - IEEE Applied Power Electronics Conference and Exposition - APEC, IEEE, 2014, pp. 643–649. doi: 10.1109/APEC.2014.6803376
3. [3] H. Zhou et al., “and Ultracapacitor With Dynamic Energy Management in Microgrid Applications,” IEEE Trans. Power Electron., vol. 26, no. 3, pp. 923–930, 2011, doi: 10.1109/TPEL.2010.2095040.
4. [4] T. Rahimi, “A ZVS Three-Phase Interleaved DC-DC converter with SFM control method for the Microgrid Applications,” pp. 5–9, 2020.
5. [5] M. Jafari, G. Hunter, J. G. Zhu, and S. Ieee, “A New Topology of Multi-Input Multi-Output Buck-Boost DC-DC Converter for Microgrid Applications,” 2012 IEEE Int. Conf. Power Energy, no. December, pp. 286–291, 2012, doi: 10.1109/PECon.2012.6450223.
6. [6] F. Li and Z. Lin, “Novel Passive Controller Design for Enhancing Boost Converter Stability in DC Microgrid Applications,” IEEE J. Emerg. Sel. Top. Power Electron., vol. 9, no. 6, pp. 6901–6911, 2021, doi: 10.1109/JESTPE.2021.3070234.
7. [7] V. Paduvalli, R. J. Taylor, and P. T. Balsara, “Analysis of Zeros in a Boost DC-DC Converter: State Diagram Approach,” IEEE Trans. Circuits Syst. II Express Briefs, vol. 64, no. 5, pp. 550–554, 2017, doi: 10.1109/TCSII.2016.2585642.
8. [8] J. Liu et al., “Sliding Mode Control of Grid-Connected Neutral-Point-Clamped Converters Via High-Gain Observer,” IEEE Trans. Ind. Electron., vol. 69, no. 4, pp. 4010–4021, 2022, doi: 10.1109/TIE.2021.3070496.

9. [9] J. Wu and Y. Lu, “Adaptive Backstepping Sliding Mode Control for Boost Converter With Constant Power Load,” IEEE Access, vol. 7, pp. 50797–50807, 2019, doi: 10.1109/ACCESS.2019.2910936.
10. [10] J. Xia, J. Zhang, W. Sun, B. Zhang, and Z. Wang, “Finite-time adaptive fuzzy control for nonlinear systems with full state constraints,” IEEE Trans. Syst. Man, Cybern. Syst., vol. 49, no. 7, pp. 1541–1548, 2019, doi: 10.1109/TSMC.2018.2854770
11. [11] X. Lu and Y. Bai, “A New Rule Reduction Method for Fuzzy Modeling,” IEEE Trans. Fuzzy Syst., vol. 28, no. 11, pp. 3023–3031, 2020, doi: 10.1109/TFUZZ.2019.2947225.
12. [12] M. Güngör and M. E. Asker, “Learning-Based Approaches for Voltage Regulation and Control in DC Microgrids with CPL,” Sustainability, vol. 15, no. 21, p. 15501, 2023, doi: 10.3390/su152115501.
13. [13] Li, Y., Sahoo, S., Vazquez, S., Zhang, Y., Dragičević, T., & Blaabjerg, F. (2024). Stability-Oriented Prediction Horizons Design of Generalized Predictive Control for DC/DC Boost Converter. 2024 IEEE Applied Power Electronics Conference and Exposition (APEC), 2841-2848. https://doi.org/10.1109/APEC48139.2024.10509183.
14. [14] Bezza, B. (2025). Real-time implementation of model predictive control law for DC-DC boost converter connected to variable loads. Sustainable Energy Technologies and Assessments, 65, 102189.
15. [15] Badawi, R., & Chen, J. (2024). Event-triggered boost converter model predictive control with Kalman filter. Journal of Control, Automation and Electrical Systems, 35(4), 123–135.
16. [16] Guo, Q., Bahri, I., Diallo, D., & Berthelot, E. (2024). Model predictive control and linear control of DC–DC boost converter in low voltage DC microgrid: An experimental comparative study. Energies, 17(5), 2301.
17. [17] V. Staudt, R. Bartelt, and C. Heising, “Short-circuit protection issues in DC ship grids,” 2013 IEEE Electr. Sh. Technol. Symp. ESTS 2013, pp. 475–479, 2013, doi: 10.1109/ESTS.2013.6523779.
18. [18] J. Wang and J. D. Yan, “Using virtual impedance to analyze the stability of LCL-filtered grid-connected inverters,” Proc. IEEE Int. Conf. Ind. Technol., vol. 2015-June, no. June, pp. 1220–1225, 2015, doi: 10.1109/ICIT.2015.7125264.
19. [19] M. Güngör and M. E. Asker, “Yakıt Hücresi ile Beslenen DC/DC Yükselticin Lineer Olmayan Yük Altında DC Bara Gerilim Kontrolü,” Int. J. Adv. Nat. Sci. Eng. Res., vol. 7, no. 6, pp. 363–370, 2023, doi: 10.59287/ijanser.1174.
20. [20] S. Vazquez, J. Rodriguez, M. Rivera, L. G. Franquelo, and M. Norambuena, “Model Predictive Control for Power Converters and Drives: Advances and Trends,” IEEE Trans. Ind. Electron., vol. 64, no. 2, pp. 935–947, 2017, doi: 10.1109/TIE.2016.2625238.
21. [21] Nandanwar, A., Harisyam, P. V., & Basu, K. (2023). Continuous control set model predictive control of tri-state boost converter. IEEE Transactions on Industrial Electronics.
22. [22] Ravera, A., Lamberti, F., & Ricco, M. (2025). FPGA implementation of nonlinear model predictive control (NMPC) for DC–DC boost converter. Electronics, 14(5), 941.
23. [23] M. U. Iftikhar, D. Sadarnac, and C. Karimi, “Input filter damping design for control loop stability of DC-DC converters,” IEEE Int. Symp. Ind. Electron., pp. 353–358, 2007, doi: 10.1109/ISIE.2007.4374623.
24. [24] M. Belkhayat, R. Cooley, and A. Witulski, “Large signal stability criteria for distributed systems with constant power loads,” PESC Rec. - IEEE Annu. Power Electron. Spec. Conf., vol. 2, pp. 1333–1338, 1995, doi: 10.1109/pesc.1995.474987.
25. [25] J. Yang, W. X. Zheng, S. Li, B. Wu, and M. Cheng, “Design of a prediction-accuracy-enhanced continuous-time MPC for disturbed systems via a disturbance observer,” IEEE Trans. Ind. Electron., vol. 62, no. 9, pp. 5807–5816, 2015, doi: 10.1109/TIE.2015.2450736.
26. [26] E. Irmak and N. Güler, “A model predictive control-based hybrid MPPT method for boost converters,” Int. J. Electron., vol. 107, no. 1, pp. 1–16, 2020, doi: 10.1080/00207217.2019.1582715.
27. [27] M. Metry, S. Bayhan, R. S. Balog, and H. A. Rub, “Model predictive control for PV maximum power point tracking of single-phase subMultilevel Inverter,” 2016 IEEE Power Energy Conf. Illinois, PECI 2016, pp. 1–8, 2016, doi: 10.1109/PECI.2016.7459220.
28. [28] J. Rodriguez and P. Cortes, Predictive Control of Power Converters and Electrical Drives. 2012. doi: 10.1002/9781119941446.
29. [29] J. D. Bastidas-Rodriguez, E. Franco, G. Petrone, C. A. Ramos-Paja, and G. Spagnuolo, “Maximum power point tracking architectures for photovoltaic systems in mismatching conditions: A review,” IET Power Electron., vol. 7, no. 6, pp. 1396–1413, 2014, doi: 10.1049/iet-pel.2013.0406.
30. [30] M. M. Mardani, N. Vafamand, M. H. Khooban, T. Dragičević, and F. Blaabjerg, “Design of Quadratic D-Stable Fuzzy Controller for DC Microgrids With Multiple CPLs,” IEEE Trans. Ind. Electron., vol. 66, no. 6, pp. 4805–4812, 2019, doi: 10.1109/TIE.2018.2851971.
31. [31] Y. Huangfu, S. Zhuo, F. Chen, S. Pang, D. Zhao, and F. Gao, “Robust Voltage Control of Floating Interleaved Boost Converter for Fuel Cell Systems,” IEEE Trans. Ind. Appl., vol. 54, no. 1, pp. 665–674, 2018, doi: 10.1109/TIA.2017.2752686.
32. [32] M. Güngör, “Learning Based Voltage Regulation in Direct Current Microgrids with Constant Power Loads,” PhD thesis, Department of Electrical and Electronics Engineering, Dicle University, Diyarbakır, Türkiye, 2024.