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Dynamic modeling method for multimode soft-switching converters under load disturbances

  • Junfeng Han (College of Mechanical and Electrical Engineering, Fujian Agriculture and Forestry University) ;
  • Weilin Wen (School of Computer Science and Mathematics, Fujian University of Technology) ;
  • Zhicong Luo (School of Computer Science and Mathematics, Fujian University of Technology) ;
  • Xiangzeng Kong (School of Computer Science and Mathematics, Fujian University of Technology) ;
  • Meili Lin (School of Computer Science and Mathematics, Fujian University of Technology)
  • Received : 2025.10.31
  • Accepted : 2026.02.09
  • Published : 2026.04.20

Abstract

Soft-switching circuits is currently a focus in converter technology research. However, the inherent complexity of soft-switching converter topology, particularly under load disturbances, leads to variations in the number of operating modes within a switching cycle, posing significant challenges to unified modeling. To address this issue, this study proposes a novel hybrid modeling approach based on mixed logical inequalities. The proposed method analyzes switching conditions among different operating modes of complex circuits and constructs a unified converter model by integrating the state equations of multiple modes through logical variables, providing an accurate representation of the circuit's dynamic behavior. Moreover, the control strategy of the converter is embedded into the hybrid model, enabling the representation of converters with control mechanisms within the modeling framework. The effectiveness of the proposed approach is validated through simulation and experimental studies on a zero voltage switching buck converter. Simulation results demonstrate that the hybrid model accurately captures the converter's operation across five distinct operating modes, with strong alignment between the simulations and the theoretical analysis, confirming the model's validity and effectiveness. In addition, experimental measurements under identical conditions demonstrate high consistency with the simulation outcomes, further affirming the capability of the hybrid modeling method in accurately representing complex circuit behavior.

Keywords

Acknowledgement

This work was supported by the National Key Research and Development Program of China (Grant number: 2023YFF1204203).

References

  1. Blaabjerg, F., Yang, Y., Kim, K.A., Rodriguez, J.: Power Electronics Technology for Large-Scale Renewable Energy Generation. Proc. IEEE. 111(4), 335-355 (2023) https://doi.org/10.1109/JPROC.2023.3253165
  2. Wang, S., Hu, Y., Gao, M., Shi, J.: Coupled inductor based zero-voltage-switching buck/boost converter. J. Power Electron. 22, 1059-1072 (2022) https://doi.org/10.1007/s43236-022-00418-w
  3. Li, M., Zhang, B., Qiu, D., Miao, A.: Sneak circuit analysis based performance optimization for ZVT PWM boost converters. J. Power Electron 24, 1573-1583 (2024) https://doi.org/10.1007/s43236-024-00819-z
  4. Xu, K., Shi, Y., Wang, Y., Zhang, Q., Feng, Z., Wang, X.: New ZVZCS TL DC-DC converter with combined operation modes. J. Power Electron. 24, 1241-1252 (2024) https://doi.org/10.1007/s43236-024-00791-8
  5. Liu, Y., Tang, S., Lin, J., Yuan, L., Sun, Y., Xiong, W.: Stability Analysis of a Single-Phase Active Power Decoupling Converter Based on Discrete Harmonic State Space Model. IEEE J. Emerg. Sel. Top. Power Electr. 11(4), 4284-4294 (2023) https://doi.org/10.1109/JESTPE.2023.3282960
  6. Middlebrook, R.D., Cuk, S.: A General Unified Approach to Modeling Switching Converter Power Stages. In: 7th Annual IEEE Power Electronics Specialists Conference I, pp. 18-34 (1976)
  7. Krein, P.T.: On the Use of Averaging for the Analysis of Power Electronic Systems. IEEE Trans. Power Electr 6(2), 251-259 (1991) https://doi.org/10.1109/TPEL.63
  8. Lu, Y., Zhong, S.: Sigmoid Function Model for a PWM DC-DC Converter. IEEE Trans. Power Electr. 38(12), 15327-15337 (2023) https://doi.org/10.1109/TPEL.2023.3310590
  9. Azer, P., Emadi, A.: Generalized State Space Average Model for Multi-Phase Interleaved Buck, Boost and Buck-Boost DC-DC Converters: Transient, Steady-State and Switching Dynamics. IEEE Access 8, 77735-77745 (2020) https://doi.org/10.1109/Access.6287639
  10. Emadi, A.: Modeling and analysis of multiconverter DC power electronic systems using the generalized state-space averaging method. IEEE Trans. Ind. Electr. 51(3), 661-668 (2004) https://doi.org/10.1109/TIE.2004.825339
  11. Zhang, Z., Xie, S., Shang, X., Qian, Q., Xu, J.: Modeling and controller optimization for current-fed isolated bidirectional DC-DC converters. J. Power Electron. 20, 1592-1603 (2020) https://doi.org/10.1007/s43236-020-00139-y
  12. Baek, J., Shin, J.W., Kim, W.: Averaged switch model of single-ended primary inductor converter in discontinuous conduction mode. J. Power Electron. 24, 1365-1373 (2024) https://doi.org/10.1007/s43236-024-00880-8
  13. Tang, C.S., Sun, Y., Su, Y.G., Nguang, S.K., Hu, A.P.: Determining multiple steady-state ZCS operating points of a switchmode contactless power transfer system. IEEE Trans. Power Electr. 24(2), 416-425 (2009) https://doi.org/10.1109/TPEL.2008.2007642
  14. Maksimovic, D., Zane, R.: Small-Signal Discrete-Time Modeling of Digitally Controlled PWM Converters. IEEE Trans. Power Electr. 22(6), 2552-2556 (2007)
  15. Miaja, P.F., Granda, M.A., Fernández, C., Rogina, M.R., Zumel, P.: Discrete-Time Modeling of Pulsewidth Modulated DC-DC Converters in Subsampling Conditions. IEEE J. Emerg. Sel. Top. Power Electr. 9(5), 5962-5974 (2021) https://doi.org/10.1109/JESTPE.2021.3071526
  16. Xiao, Z., Lei, W., Gao, G., Wang, H., Mu, W.: Simplified Discrete-Time Modeling for Convenient Stability Prediction of DAB Converter in Energy Storage System. IEEE Transactions on Power Electronics 39(10), 12636-12651 (2024) https://doi.org/10.1109/TPEL.2024.3404099
  17. Wu, X., Kang, Z., Zhao, X., Li, W., Wu, X.: Simplified Small-Signal Discrete-Time Modeling Approach for Digital-Controlled PWM Converters. In: 2019 IEEE 15th International Conference on Control and Automation (ICCA), pp. 174-177 (2019)
  18. Wei, X., Lu, Y.: A Two-Piece Sigmoid Model for High-Order Power Electronics Converters and an Analysis of Their Dynamic Behaviors. IEEE Journal of Emerging and Selected Topics in Power Electronics 12(3), 3247-3257 (2024) https://doi.org/10.1109/JESTPE.2024.3371683
  19. Jiang, L., Liu, E., Lui, D., Zhai, J.: Modeling and Control of BUCK Circuit Based on Hybrid Automata. In: 2018 Chinese Automation Congress (CAC), pp. 2499-2502 (2018)
  20. Yu, Q., Wang, X., Zhang, B.: A study of hybrid control algorithms for buck-boost converter based on fixed switching frequency. In: 2013 IEEE 8th Conference on Industrial Electronics and Applications (ICIEA), pp. 1197-1202 (2013)
  21. Lu, Y., Huang, X., Huang, Y., Liu, D.: Sigmoid Function Model for a PFM Power Electronic Converter. IEEE Trans. Power Electr. 35(4), 4233-4241 (2020) https://doi.org/10.1109/TPEL.63
  22. Hejri, M., Giua, A.: Hybrid modeling and control of switching DC-DC converters via MLD systems. In: 2011 IEEE International Conference on Automation Science and Engineering, pp. 714-719 (2011)
  23. Hejri, M., Mokhtari, H.: Hybrid modeling and control of a DC-DC boost converter via Extended Mixed Logical Dynamical systems (EMLDs). In: The 5th Annual International Power Electronics, Drive Systems and Technologies Conference (PEDSTC 2014), pp. 373-378 (2014)
  24. Li, X., Zhao, T., Xu, J.: Research on MLD Modeling and Predictive Control of Magnetically Coupled Resonant Bidirectional WPT System. Electronics. 13(7), 1290 (2024) https://doi.org/10.3390/electronics13071290
  25. Han, J., Zhang, B., Qiu, D.: Bi-switching Status Modeling Method for DC-DC Converters in CCM and DCM Operations. IEEE Transactions on Power Electronics 32(3), 2464-2472 (2017) https://doi.org/10.1109/TPEL.2016.2574894
  26. Fang, Y., Chen, Y., Zhang, B., Qiu, D.: Multimode Sequence Modeling Method for Accurate Description of VHF Resonant Converters Based on Mixed Logical Inequalities. IEEE Trans. Power Electr. 40(2), 3240-3250 (2025) https://doi.org/10.1109/TPEL.2024.3484523
  27. Bemporad, A., Morari, M.: Control of Systems Integrating Logic Dynamics and Constraints. Automatica 35(3), 407-427 (1999) https://doi.org/10.1016/S0005-1098(98)00178-2