A Port-Hamiltonian Approach to Plug-and-Play Voltage and Frequency Control in Islanded Inverter-Based AC Microgrids

Authors

Felix Strehle, Albertus Johannes Malan, Stefan Krebs, Soren Hohmann

Abstract

In this paper, we propose a decentralized scalable, plug-and-play control of voltage-source inverters (VSIs) in islanded, inverter-based AC micro-grids at primary level. Particularly in islanded mode without inertia from conventional generators in the main grid, voltage and frequency stabilization must be performed exclusively by these VSIs. In contrast to existing approaches, we propose a systematic procedure that does not require the proposition of a Lyapunov function as well as avoids computationally expensive and possibly infeasible numerical optimization. It follows passivity techniques, namely interconnection and damping assignment passivity-based control (IDA-PBC) on the basis of port-Hamiltonian systems (PHSs) theory. By employing the Hamiltonian naturally obtained from the PHS approach as Lyapunov function and analyzing load dynamics, we prove microgrid-wide asymptotic voltage and frequency stability. A simulation validating our theoretical results concludes our work.

Citation

• Journal: 2019 IEEE 58th Conference on Decision and Control (CDC)
• Year: 2019
• Volume:
• Issue:
• Pages: 4648–4655
• Publisher: IEEE
• DOI: 10.1109/cdc40024.2019.9029272

BibTeX

@inproceedings{Strehle_2019,
  title={{A Port-Hamiltonian Approach to Plug-and-Play Voltage and Frequency Control in Islanded Inverter-Based AC Microgrids}},
  DOI={10.1109/cdc40024.2019.9029272},
  booktitle={{2019 IEEE 58th Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Strehle, Felix and Malan, Albertus Johannes and Krebs, Stefan and Hohmann, Soren},
  year={2019},
  pages={4648--4655}
}

Download the bib file

References

• floriduz, Approximate Kron Reduction Methods for Electrical Networks With Applications to Plug-and-Play Control of AC Islanded Microgrids. IEEE Transactions on Control Systems Technology (2018)
• Tucci, M. & Ferrari-Trecate, G. Voltage and frequency control in AC islanded microgrids: a scalable, line-independent design algorithm. IFAC-PapersOnLine 50, 13922–13927 (2017) – 10.1016/j.ifacol.2017.08.2212
• nahata, A Passivity-Based Ap proach to Voltage Stabilization in DC Microgrids with ZIP loads. submitted to Automatica (2018)
• Sepulchre, R., Janković, M. & Kokotović, P. V. Constructive Nonlinear Control. Communications and Control Engineering (Springer London, 1997). doi:10.1007/978-1-4471-0967-9 – 10.1007/978-1-4471-0967-9
• Nahata, P. & Ferrari-Treeate, G. Passivity-based Voltage and Frequency Stabilization in AC microgrids. 2019 18th European Control Conference (ECC) 1890–1895 (2019) doi:10.23919/ecc.2019.8796119 – 10.23919/ecc.2019.8796119
• Serra, F. M., De Angelo, C. H. & Forchetti, D. G. Interconnection and damping assignment control of a three-phase front end converter. International Journal of Electrical Power & Energy Systems 60, 317–324 (2014) – 10.1016/j.ijepes.2014.03.033
• Serra, F. M. & De Angelo, C. H. IDA-PBC controller design for grid connected Front End Converters under non-ideal grid conditions. Electric Power Systems Research 142, 12–19 (2017) – 10.1016/j.epsr.2016.08.041
• Serra, F. M., De Angelo, C. H. & Forchetti, D. G. IDA-PBC control of a DC–AC converter for sinusoidal three-phase voltage generation. International Journal of Electronics 104, 93–110 (2016) – 10.1080/00207217.2016.1191087
• Duindam, V., Macchelli, A., Stramigioli, S. & Bruyninckx, H. Modeling and Control of Complex Physical Systems. (Springer Berlin Heidelberg, 2009). doi:10.1007/978-3-642-03196-0 – 10.1007/978-3-642-03196-0
• Kotyczka, P. Local linear dynamics assignment in IDA-PBC. Automatica 49, 1037–1044 (2013) – 10.1016/j.automatica.2013.01.028
• Olivares, D. E. et al. Trends in Microgrid Control. IEEE Trans. Smart Grid 5, 1905–1919 (2014) – 10.1109/tsg.2013.2295514
• Guerrero, J. M., Chandorkar, M., Lee, T.-L. & Loh, P. C. Advanced Control Architectures for Intelligent Microgrids—Part I: Decentralized and Hierarchical Control. IEEE Trans. Ind. Electron. 60, 1254–1262 (2013) – 10.1109/tie.2012.2194969
• meng, Review on Control of DC Microgrids and Multiple Microgrid Clusters. IEEE Journal of Emerging and Selected Topics in Power Electronics (2017)
• Sadabadi, M. S., Shafiee, Q. & Karimi, A. Plug-and-Play Voltage Stabilization in Inverter-Interfaced Microgrids via a Robust Control Strategy. IEEE Trans. Contr. Syst. Technol. 25, 781–791 (2017) – 10.1109/tcst.2016.2583378
• Riverso, S., Sarzo, F. & Ferrari-Trecate, G. Plug-and-Play Voltage and Frequency Control of Islanded Microgrids With Meshed Topology. IEEE Trans. Smart Grid 6, 1176–1184 (2015) – 10.1109/tsg.2014.2381093
• Dorfler, F., Simpson-Porco, J. W. & Bullo, F. Plug-and-play control and optimization in microgrids. 53rd IEEE Conference on Decision and Control 211–216 (2014) doi:10.1109/cdc.2014.7039383 – 10.1109/cdc.2014.7039383
• Guerrero, J. M., Vasquez, J. C., Matas, J., de Vicuna, L. G. & Castilla, M. Hierarchical Control of Droop-Controlled AC and DC Microgrids—A General Approach Toward Standardization. IEEE Trans. Ind. Electron. 58, 158–172 (2011) – 10.1109/tie.2010.2066534
• Tucci, M., Floriduz, A., Riverso, S. & Ferrari-Trecate, G. Plug-and-play control of AC islanded microgrids with general topology. 2016 European Control Conference (ECC) 1493–1500 (2016) doi:10.1109/ecc.2016.7810501 – 10.1109/ecc.2016.7810501
• Schiffer, J. et al. A survey on modeling of microgrids—From fundamental physics to phasors and voltage sources. Automatica 74, 135–150 (2016) – 10.1016/j.automatica.2016.07.036
• 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
• van der Schaft, A. L2-Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer International Publishing, 2017). doi:10.1007/978-3-319-49992-5 – 10.1007/978-3-319-49992-5
• khalil, Nonlinear Systems (2002)
• machowski, Power System Dynamics Stability and Control (2012)
• Cucuzzella, M., Trip, S., Ferrara, A. & Scherpen, J. Cooperative Voltage Control in AC Microgrids. 2018 IEEE Conference on Decision and Control (CDC) 6723–6728 (2018) doi:10.1109/cdc.2018.8618898 – 10.1109/cdc.2018.8618898
• IEEE Recommended Practice for Monitoring Electric Power Quality. IEEE Std 1159–2009 (2009)
• Cutsem, T. & Vournas, C. Voltage Stability of Electric Power Systems. (Springer US, 1998). doi:10.1007/978-0-387-75536-6 – 10.1007/978-0-387-75536-6