Distributed Frequency Regulation for Heterogeneous Microgrids via Steady State Optimal Control

Authors

Lukas Kolsch, Manuel Dupuis, Kirtan Bhatt, Stefan Krebs, Soren Hohmann

Abstract

In this paper, we present a model-based frequency controller for microgrids with nonzero line resistances based on a port-Hamiltonian formulation of the microgrid model and real-time dynamic pricing. The controller is applicable for conventional generation with synchronous machines as well as for power electronics interfaced sources and it is robust against power fluctuations from uncontrollable loads or volatile regenerative sources. The price-based formulation allows additional requirements such as active power sharing to be met. The capability and effectiveness of our procedure is demonstrated by means of an 18-node exemplary grid.

Citation

• Journal: 2020 IEEE Green Technologies Conference(GreenTech)
• Year: 2020
• Volume:
• Issue:
• Pages: 92–99
• Publisher: IEEE
• DOI: 10.1109/greentech46478.2020.9289724

BibTeX

@inproceedings{Kolsch_2020,
  title={{Distributed Frequency Regulation for Heterogeneous Microgrids via Steady State Optimal Control}},
  DOI={10.1109/greentech46478.2020.9289724},
  booktitle={{2020 IEEE Green Technologies Conference(GreenTech)}},
  publisher={IEEE},
  author={Kolsch, Lukas and Dupuis, Manuel and Bhatt, Kirtan and Krebs, Stefan and Hohmann, Soren},
  year={2020},
  pages={92--99}
}

Download the bib file

References

• boldea, Synchronous generators. The electric generators handbook (2006)
• Jouini, T., Arghir, C. & Dörfler, F. Grid-Friendly Matching of Synchronous Machines by Tapping into the DC Storage. IFAC-PapersOnLine vol. 49 192–197 (2016) – 10.1016/j.ifacol.2016.10.395
• beattie, Port-Hamiltonian descriptor systems. ArXiv e-prints (2017)
• 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
• Trip, S., Bürger, M. & De Persis, C. An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages. Automatica vol. 64 240–253 (2016) – 10.1016/j.automatica.2015.11.021
• jokic, Price-Based Optimal Control of Electrical Power Systems (2007)
• Jokic, A., Lazar, M. & van den Bosch, P. On Constrained Steady-State Regulation: Dynamic KKT Controllers. IEEE Transactions on Automatic Control vol. 54 2250–2254 (2009) – 10.1109/tac.2009.2026856
• schiffer, Stability and power sharing in microgrids (2015)
• Dorfler, F., Bolognani, S., Simpson-Porco, J. W. & Grammatico, S. Distributed Control and Optimization for Autonomous Power Grids. 2019 18th European Control Conference (ECC) 2436–2453 (2019) doi:10.23919/ecc.2019.8795974 – 10.23919/ecc.2019.8795974
• patnaik, Cyber-Physical Systems for Next-Generation Networks (2018)
• Stegink, T. W., De Persis, C. & van der Schaft, A. J. Stabilization of Structure-Preserving Power Networks with Market Dynamics. IFAC-PapersOnLine vol. 50 6737–6742 (2017) – 10.1016/j.ifacol.2017.08.1172
• Kolsch, L., Bhatt, K., Krebs, S. & Hohmann, S. Steady-State Optimal Frequency Control for Lossy Power Grids with Distributed Communication. 2019 1st International Conference on Electrical, Control and Instrumentation Engineering (ICECIE) 1–8 (2019) doi:10.1109/icecie47765.2019.8974715 – 10.1109/icecie47765.2019.8974715
• Monshizadeh, P., De Persis, C., Stegink, T., Monshizadeh, N. & van der Schaft, A. Stability and frequency regulation of inverters with capacitive inertia. 2017 IEEE 56th Annual Conference on Decision and Control (CDC) 5696–5701 (2017) doi:10.1109/cdc.2017.8264519 – 10.1109/cdc.2017.8264519
• Stegink, T., De Persis, C. & van der Schaft, A. A Unifying Energy-Based Approach to Stability of Power Grids With Market Dynamics. IEEE Transactions on Automatic Control vol. 62 2612–2622 (2017) – 10.1109/tac.2016.2613901
• Bevrani, H. & Shokoohi, S. An Intelligent Droop Control for Simultaneous Voltage and Frequency Regulation in Islanded Microgrids. IEEE Transactions on Smart Grid vol. 4 1505–1513 (2013) – 10.1109/tsg.2013.2258947
• Kariniotakis, G., Martini, L., Caerts, C., Brunner, H. & Retiere, N. Challenges, innovative architectures and control strategies for future networks: the Web-of-Cells, fractal grids and other concepts. CIRED - Open Access Proceedings Journal vol. 2017 2149–2152 (2017) – 10.1049/oap-cired.2017.1287
• machowski, Power System Dynamics Stability and Control (2012)