Toward Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC Filter DC/DC Converters

Authors

Shengzhao Pang, Babak Nahid-Mobarakeh, Serge Pierfederici, Yigeng Huangfu, Guangzhao Luo, Fei Gao

Abstract

This article proposes a modified interconnection and damping assignment passivity-based control (IDA-PBC) for dc/dc converter cascaded with an LC filter. The plant is modeled using the port-controlled Hamiltonian (PCH) form. The main objective is to stabilize the cascaded system in case the system supplies constant power load (CPL). To solve the instability issues caused by tightly controlled cascaded systems, the IDA-PBC based on an overall PCH model, including LC input filter and dc/dc converter, is established. Moreover, to ensure that the proposed IDA-PBC admits one unique solution, an adaptive interconnection matrix is designed to build the internal links in the PCH model. Furthermore, in order to improve the implementation on an onboard dc microgrid application with time-varying CPLs, a modified IDA-PBC algorithm is proposed based on the error between the state vector and the desired operating point, which might be variable. The closed-loop Hamiltonian function is chosen as the Lyapunov candidate function to guarantee that the system operates in a stable manner. The virtual damping assignment technique is addressed to tune the dynamic characteristic of the closed-loop system. Simulation and experimental results are carried out to illustrate the proposed method’s effectiveness.

Citation

Journal: IEEE Journal of Emerging and Selected Topics in Power Electronics
Year: 2021
Volume: 9
Issue: 2
Pages: 1302–1314
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/jestpe.2019.2945331

BibTeX

@article{Pang_2021,
  title={{Toward Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC Filter DC/DC Converters}},
  volume={9},
  ISSN={2168-6785},
  DOI={10.1109/jestpe.2019.2945331},
  number={2},
  journal={IEEE Journal of Emerging and Selected Topics in Power Electronics},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Pang, Shengzhao and Nahid-Mobarakeh, Babak and Pierfederici, Serge and Huangfu, Yigeng and Luo, Guangzhao and Gao, Fei},
  year={2021},
  pages={1302--1314}
}

Download the bib file

References

Meng, Y., Shang, S., Zhang, H., Cui, Y. & Wang, X. IDA‐PB control with integral action of Y‐connected modular multilevel converter for fractional frequency transmission application. IET Generation Trans & Dist 12, 3385–3397 (2017) – 10.1049/iet-gtd.2017.0573
Gui, Y., Wei, B., Li, M., Guerrero, J. M. & Vasquez, J. C. Passivity-based coordinated control for islanded AC microgrid. Applied Energy 229, 551–561 (2018) – 10.1016/j.apenergy.2018.07.115
Zeng, J., Zhang, Z. & Qiao, W. An Interconnection and Damping Assignment Passivity-Based Controller for a DC–DC Boost Converter With a Constant Power Load. IEEE Trans. on Ind. Applicat. 50, 2314–2322 (2014) – 10.1109/tia.2013.2290872
Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38, 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
Ortega, R. & García-Canseco, E. Interconnection and Damping Assignment Passivity-Based Control: A Survey. European Journal of Control 10, 432–450 (2004) – 10.3166/ejc.10.432-450
Zhang, Q. & Liu, G. Precise Control of Elastic Joint Robot Using an Interconnection and Damping Assignment Passivity-Based Approach. IEEE/ASME Trans. Mechatron. 21, 2728–2736 (2016) – 10.1109/tmech.2016.2578287
Meshram, R. V. et al. Port-Controlled Phasor Hamiltonian Modeling and IDA-PBC Control of Solid-State Transformer. IEEE Trans. Contr. Syst. Technol. 27, 161–174 (2019) – 10.1109/tcst.2017.2761866
Huangfu, Y. et al. Analysis and Design of an Active Stabilizer for a Boost Power Converter System. Energies 9, 934 (2016) – 10.3390/en9110934
Hassan, M. A. et al. Adaptive Passivity-Based Control of dc–dc Buck Power Converter With Constant Power Load in DC Microgrid Systems. IEEE J. Emerg. Sel. Topics Power Electron. 7, 2029–2040 (2019) – 10.1109/jestpe.2018.2874449
Areerak, K. et al. Adaptive Stabilization of Uncontrolled Rectifier Based AC–DC Power Systems Feeding Constant Power Loads. IEEE Trans. Power Electron. 33, 8927–8935 (2018) – 10.1109/tpel.2017.2779541
Pang, S. et al. Interconnection and Damping Assignment Passivity-Based Control Applied to On-Board DC–DC Power Converter System Supplying Constant Power Load. IEEE Trans. on Ind. Applicat. 55, 6476–6485 (2019) – 10.1109/tia.2019.2938149
Pang, S. et al. IDA-Passivity-Based Control for On-board DC Power Converter System with Constant Power Load. 2018 IEEE Industry Applications Society Annual Meeting (IAS) 1–6 (2018) doi:10.1109/ias.2018.8544662 – 10.1109/ias.2018.8544662
Vafamand, N., Khooban, M. H., Dragicevic, T. & Blaabjerg, F. Networked Fuzzy Predictive Control of Power Buffers for Dynamic Stabilization of DC Microgrids. IEEE Trans. Ind. Electron. 66, 1356–1362 (2019) – 10.1109/tie.2018.2826485
Yousefizadeh, S. et al. EKF-Based Predictive Stabilization of Shipboard DC Microgrids With Uncertain Time-Varying Load. IEEE J. Emerg. Sel. Topics Power Electron. 7, 901–909 (2019) – 10.1109/jestpe.2018.2889971
Zhang, M. et al. Voltage Stability Analysis and Sliding-Mode Control Method for Rectifier in DC Systems With Constant Power Loads. IEEE J. Emerg. Sel. Topics Power Electron. 5, 1621–1630 (2017) – 10.1109/jestpe.2017.2723482
Vafamand, N., Khooban, M. H., Dragicevic, T., Blaabjerg, F. & Boudjadar, J. Robust Non-Fragile Fuzzy Control of Uncertain DC Microgrids Feeding Constant Power Loads. IEEE Trans. Power Electron. 34, 11300–11308 (2019) – 10.1109/tpel.2019.2896019
Vafamand, N., Khayatian, A. & Khooban, M. H. Stabilisation and transient performance improvement of DC MGs with CPLs: non‐linear reset control approach. IET Generation Trans & Dist 13, 3169–3176 (2019) – 10.1049/iet-gtd.2018.6739
Cisneros, R., Mancilla-David, F. & Ortega, R. Passivity-Based Control of a Grid-Connected Small-Scale Windmill With Limited Control Authority. IEEE J. Emerg. Sel. Topics Power Electron. 1, 247–259 (2013) – 10.1109/jestpe.2013.2285376
Herrera, L., Zhang, W. & Wang, J. Stability Analysis and Controller Design of DC Microgrids With Constant Power Loads. IEEE Trans. Smart Grid 1–1 (2015) doi:10.1109/tsg.2015.2457909 – 10.1109/tsg.2015.2457909
Xu, R. et al. A Novel Control Method for Transformerless H-Bridge Cascaded STATCOM With Star Configuration. IEEE Trans. Power Electron. 30, 1189–1202 (2015) – 10.1109/tpel.2014.2320251
Xu, H. et al. Analysis, Comparison, and Discussion of Control Strategies for Dual Stator-Winding Induction Generator DC Generating System. IEEE J. Emerg. Sel. Topics Power Electron. 4, 1007–1014 (2016) – 10.1109/jestpe.2015.2497272
Wang, K.-W., Zhang, X. & Chung, H. S.-H. Solid-State Single-Port Series Damping Device for Power Converters in DC Microgrid Systems. IEEE Trans. Power Electron. 34, 192–203 (2019) – 10.1109/tpel.2018.2811941
Petrovic, V., Ortega, R. & Stankovi, A. M. Interconnection and damping assignment approach to control of PM synchronous motors. IEEE Trans. Contr. Syst. Technol. 9, 811–820 (2001) – 10.1109/87.960344
Pang, S. et al. IDA-Passivity-Based Control for Boost Converter with LC Filter Supplying Constant Power Load. 2018 IEEE International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles & International Transportation Electrification Conference (ESARS-ITEC) 1–6 (2018) doi:10.1109/esars-itec.2018.8607674 – 10.1109/esars-itec.2018.8607674
Bai, H., Wang, X., Blaabjerg, F. & Loh, P. C. Harmonic Analysis and Mitigation of Low-Frequency Switching Voltage Source Inverter With Auxiliary VSI. IEEE J. Emerg. Sel. Topics Power Electron. 6, 1355–1365 (2018) – 10.1109/jestpe.2018.2789982
Huangfu, Y. et al. Stability Analysis and Active Stabilization of On-board DC Power Converter System with Input Filter. IEEE Trans. Ind. Electron. 65, 790–799 (2018) – 10.1109/tie.2017.2703663
Gao, F., Bozhko, S., Asher, G., Wheeler, P. & Patel, C. An Improved Voltage Compensation Approach in A Droop-Controlled DC Power System for the More Electric Aircraft. IEEE Trans. Power Electron. 1–1 (2015) doi:10.1109/tpel.2015.2510285 – 10.1109/tpel.2015.2510285
Pang, S. et al. Fault-tolerant consideration and active stabilization for floating interleaved boost converter system. IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society 7947–7952 (2017) doi:10.1109/iecon.2017.8217393 – 10.1109/iecon.2017.8217393
Yousefizadeh, S. et al. Tracking Control for a DC Microgrid Feeding Uncertain Loads in More Electric Aircraft: Adaptive Backstepping Approach. IEEE Trans. Ind. Electron. 66, 5644–5652 (2019) – 10.1109/tie.2018.2880666
Adamou-Mitiche, A. B. H. & Mitiche, L. Multivariable Systems Model Reduction Based on the Dominant Modes and Genetic Algorithm. IEEE Trans. Ind. Electron. 64, 1617–1619 (2017) – 10.1109/tie.2016.2618783
Du, W., Zhang, J., Zhang, Y. & Qian, Z. Stability Criterion for Cascaded System With Constant Power Load. IEEE Trans. Power Electron. 28, 1843–1851 (2013) – 10.1109/tpel.2012.2211619
Chang, Y.-C., Chen, C.-H., Zhu, Z.-C. & Huang, Y.-W. Speed Control of the Surface-Mounted Permanent-Magnet Synchronous Motor Based on Takagi–Sugeno Fuzzy Models. IEEE Trans. Power Electron. 31, 6504–6510 (2016) – 10.1109/tpel.2015.2504392
Pang, S. et al. Improving the Stability of Cascaded DC-DC Converter Systems via the Viewpoints of Passivity-Based Control and Port-Controlled Hamiltonian Framework. 2019 IEEE Industry Applications Society Annual Meeting 1–6 (2019) doi:10.1109/ias.2019.8911961 – 10.1109/ias.2019.8911961
Loop, B. P., Sudhoff, S. D., Zak, S. H. & Zivi, E. L. Estimating Regions of Asymptotic Stability of Power Electronics Systems Using Genetic Algorithms. IEEE Trans. Contr. Syst. Technol. 18, 1011–1022 (2010) – 10.1109/tcst.2009.2031325
Gu, Y., Li, W. & He, X. Passivity-Based Control of DC Microgrid for Self-Disciplined Stabilization. IEEE Trans. Power Syst. 30, 2623–2632 (2015) – 10.1109/tpwrs.2014.2360300
khalil, Nonlinear Systems (2002)