Analysis of instability causes in the bi‐dc converter and enhancing its performance by improving the damping in the IDA‐PBC control

Authors

Gang Lin, Jiayan Liu, Christian Rehtanz, Yong Li, Wei Zuo, Pengcheng Wang

Abstract

The poor damping of bidirectional dc (bi‐dc) converter caused by constant power load makes power system prone to oscillation, and non‐minimum phase characteristic also jeopardises voltage stability. To solve these challenges, the interconnection and damping assignment passivity‐based control (IDA‐PBC) is utilised to improve transient response. The influences of the right‐half‐plane (RHP) zero on the stability margin and controller design are illustrated by zero dynamics analysis. Then the port‐controlled Hamiltonian modelling is used to obtain the IDA‐PBC control law, which is suitable to the bi‐dc converter and independent of the operation mode. The system dissipation property is modified, and thus the desired damping is injected to smooth the transient voltage. To remove the voltage error caused by RHP zero and adjust the damping ratio, an energy controller with an adjustment factor is introduced. Besides, a virtual circuit is established to explain the physical meaning of the control parameter, and the parameter design method is given. Passivity analysis assesses the controller performance. Simulation results are analysed and compared with other control strategies to test the proposed IDA‐PBC strategy.

Citation

Journal: IET Generation, Transmission & Distribution
Year: 2021
Volume: 15
Issue: 17
Pages: 2411–2421
Publisher: Institution of Engineering and Technology (IET)
DOI: 10.1049/gtd2.12169

BibTeX

@article{Lin_2021,
  title={{Analysis of instability causes in the bi‐dc converter and enhancing its performance by improving the damping in the IDA‐PBC control}},
  volume={15},
  ISSN={1751-8695},
  DOI={10.1049/gtd2.12169},
  number={17},
  journal={IET Generation, Transmission &amp; Distribution},
  publisher={Institution of Engineering and Technology (IET)},
  author={Lin, Gang and Liu, Jiayan and Rehtanz, Christian and Li, Yong and Zuo, Wei and Wang, Pengcheng},
  year={2021},
  pages={2411--2421}
}

Download the bib file

References

Madduri, P. A. et al. Scalable DC Microgrids for Rural Electrification in Emerging Regions. IEEE J. Emerg. Sel. Topics Power Electron. 4, 1195–1205 (2016) – 10.1109/jestpe.2016.2570229
Perez, F., Iovine, A., Damm, G., Galai-Dol, L. & Ribeiro, P. F. Stability Analysis of a DC MicroGrid for a Smart Railway Station Integrating Renewable Sources. IEEE Trans. Contr. Syst. Technol. 28, 1802–1816 (2020) – 10.1109/tcst.2019.2924615
Gao, F., Bozhko, S., Costabeber, A., Asher, G. & Wheeler, P. Control Design and Voltage Stability Analysis of a Droop-Controlled Electrical Power System for More Electric Aircraft. IEEE Trans. Ind. Electron. 64, 9271–9281 (2017) – 10.1109/tie.2017.2711552
Tabari, M. & Yazdani, A. Stability of a dc Distribution System for Power System Integration of Plug-In Hybrid Electric Vehicles. IEEE Trans. Smart Grid 5, 2564–2573 (2014) – 10.1109/tsg.2014.2331558
Karbalaye Zadeh, M., Gavagsaz-Ghoachani, R., Pierfederici, S., Nahid-Mobarakeh, B. & Molinas, M. Stability Analysis and Dynamic Performance Evaluation of a Power Electronics-Based DC Distribution System With Active Stabilizer. IEEE J. Emerg. Sel. Topics Power Electron. 4, 93–102 (2016) – 10.1109/jestpe.2015.2484218
Cespedes, M., Xing, L. & Sun, J. Constant-Power Load System Stabilization by Passive Damping. IEEE Trans. Power Electron. 26, 1832–1836 (2011) – 10.1109/tpel.2011.2151880
Guo, L. et al. Stability Analysis and Damping Enhancement Based on Frequency-Dependent Virtual Impedance for DC Microgrids. IEEE J. Emerg. Sel. Topics Power Electron. 5, 338–350 (2017) – 10.1109/jestpe.2016.2598821
Song, X., Zheng, S., Han, B., Peng, C. & Zhou, X. Active Damping Stabilization for High-Speed BLDCM Drive System Based on Band-Pass Filter. IEEE Trans. Power Electron. 32, 5438–5449 (2017) – 10.1109/tpel.2016.2608928
Zhang, X., Ruan, X. & Zhong, Q.-C. Improving the Stability of Cascaded DC/DC Converter Systems via Shaping the Input Impedance of the Load Converter With a Parallel or Series Virtual Impedance. IEEE Trans. Ind. Electron. 62, 7499–7512 (2015) – 10.1109/tie.2015.2459040
Wu, M. & Lu, D. D.-C. A Novel Stabilization Method of <italic>LC</italic> Input Filter With Constant Power Loads Without Load Performance Compromise in DC Microgrids. IEEE Trans. Ind. Electron. 62, 4552–4562 (2015) – 10.1109/tie.2014.2367005
Zhu, X., Meng, F., Xie, Z. & Yue, Y. An Inertia and Damping Control Method of DC–DC Converter in DC Microgrids. IEEE Trans. Energy Convers. 35, 799–807 (2020) – 10.1109/tec.2019.2952717
Siegers, J., Arrua, S. & Santi, E. Stabilizing Controller Design for Multibus MVdc Distribution Systems Using a Passivity-Based Stability Criterion and Positive Feedforward Control. IEEE J. Emerg. Sel. Topics Power Electron. 5, 14–27 (2017) – 10.1109/jestpe.2016.2618382
del Puerto-Flores, D. et al. Passivity-Based Control by Series/Parallel Damping of Single-Phase PWM Voltage Source Converter. IEEE Trans. Contr. Syst. Technol. 22, 1310–1322 (2014) – 10.1109/tcst.2013.2278781
Son, Y. I. & Kim, I. H. Complementary PID Controller to Passivity-Based Nonlinear Control of Boost Converters With Inductor Resistance. IEEE Trans. Contr. Syst. Technol. 20, 826–834 (2012) – 10.1109/tcst.2011.2134099
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
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
Samanta, S., Barman, S., Mishra, J. P., Roy, P. & Roy, B. K. Design of an interconnection and damping assignment‐passivity based control technique for energy management and damping improvement of a DC microgrid. IET Generation Trans & Dist 14, 2082–2091 (2020) – 10.1049/iet-gtd.2019.1075
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
He, W., Ortega, R., Machado, J. E. & Li, S. An Adaptive Passivity‐Based Controller of a Buck‐Boost Converter with a Constant Power Load. Asian Journal of Control 21, 581–595 (2018) – 10.1002/asjc.1751
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. 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
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
Pang, S. et al. Toward Stabilization of Constant Power Loads Using IDA-PBC for Cascaded LC Filter DC/DC Converters. IEEE J. Emerg. Sel. Topics Power Electron. 9, 1302–1314 (2021) – 10.1109/jestpe.2019.2945331
Pang, S. et al. Large-Signal Stable Nonlinear Control of DC/DC Power Converter With Online Estimation of Uncertainties. IEEE J. Emerg. Sel. Topics Power Electron. 9, 7355–7368 (2021) – 10.1109/jestpe.2020.3010895
Pang, S. et al. Large-Signal Stabilization of Power Converters Cascaded Input Filter Using Adaptive Energy Shaping Control. IEEE Trans. Transp. Electrific. 7, 838–853 (2021) – 10.1109/tte.2020.3021954
Cupelli, M. et al. Port Controlled Hamiltonian Modeling and IDA-PBC Control of Dual Active Bridge Converters for DC Microgrids. IEEE Trans. Ind. Electron. 66, 9065–9075 (2019) – 10.1109/tie.2019.2901645
Kwasinski, A. & Krein, P. T. Passivity-Based Control of Buck Converters with Constant-Power Loads. 2007 IEEE Power Electronics Specialists Conference 259–265 (2007) doi:10.1109/pesc.2007.4341998 – 10.1109/pesc.2007.4341998