Authors

Antonio T. Alexandridis, Panos C. Papageorgiou

Abstract

The power grid evolution towards the smart grid integration is certainly expected in the near future. Disciplinary technologies from many fields that are combined for such a large scale venture, have a complicated result. It seems that rather more efficient tools are needed for the analysis and design of the future smart electric grids, especially at the distribution part. A possible solution is the complex network deployment that provides an alternative framework to better understand and analyze smart grid systems that are composed by different interacting parts in a network fashion. The complex network representation can thus be extended to a multi-level formulation where at any level the outputs may be used as command inputs for the lower levels. The method is established on the basis of suitably determined graphs and therefore can be used in a common way, independently from variations on grid topology or the power injected or consumed. This is a very valuable fact due to the intermittent and unpredictable nature of modern distribution systems. However, a basic problem that arise is how under any possible graph representation, one can be sure that the system is undoubtedly stable. Therefore, in this paper, a systematic method, absolutely compatible with the complex network deployment, is established to indicate that, under common conditions, every modern distributed generation system with variable topology and bounded control inputs, can be represented as a special structure passive port-Hamiltonian stable system. Finally, a particular microgrid example with a standard primary control level scheme is examined to evaluate the proposed method.

Keywords

Smart grids; distributed generation; complex networks; stability analysis; nonlinear systems

Citation

  • Journal: IFAC-PapersOnLine
  • Year: 2017
  • Volume: 50
  • Issue: 1
  • Pages: 9186–9191
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.ifacol.2017.08.1272
  • Note: 20th IFAC World Congress

BibTeX

@article{Alexandridis_2017,
  title={{A complex network deployment suitable for modern power distribution analysis at the primary control level}},
  volume={50},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2017.08.1272},
  number={1},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Alexandridis, Antonio T. and Papageorgiou, Panos C.},
  year={2017},
  pages={9186--9191}
}

Download the bib file

References

  • Alexandridis, A. T. & Makrygiorgou, D. I. Modelling and analysis of inverter controlled islanded microgrids with frequency and voltage droop characteristics. Mediterranean Conference on Power Generation, Transmission, Distribution and Energy Conversion (MedPower 2016) 3 (6 .)-3 (6 .) (2016) doi:10.1049/cp.2016.0992 – 10.1049/cp.2016.0992
  • Androulidakis, On the stability of unforced nonautonomous underdamped dissipative Hamiltonian systems. Proc. 18th Int. Conf. MMAR (2013)
  • Arianos, S., Bompard, E., Carbone, A. & Xue, F. Power grid vulnerability: A complex network approach. Chaos: An Interdisciplinary Journal of Nonlinear Science vol. 19 (2009) – 10.1063/1.3077229
  • Berger, T., Halikias, G. & Karcanias, N. Effects of dynamic and non‐dynamic element changes in RC and RL networks. International Journal of Circuit Theory and Applications vol. 43 36–59 (2013) – 10.1002/cta.1923
  • BOCCALETTI, S., LATORA, V., MORENO, Y., CHAVEZ, M. & HWANG, D. Complex networks: Structure and dynamics. Physics Reports vol. 424 175–308 (2006) – 10.1016/j.physrep.2005.10.009
  • Olivares, D. E. et al. Trends in Microgrid Control. IEEE Transactions on Smart Grid vol. 5 1905–1919 (2014) – 10.1109/tsg.2013.2295514
  • Hung-Po Chao, Oren, S. S., Papalexopoulos, A., Sobajic, D. J. & Wilson, R. Interface Between Engineering and Market Operations in Restructured Electricity Systems. Proceedings of the IEEE vol. 93 1984–1997 (2005) – 10.1109/jproc.2005.857491
  • Cuadra, L., Salcedo-Sanz, S., Del Ser, J., Jiménez-Fernández, S. & Geem, Z. A Critical Review of Robustness in Power Grids Using Complex Networks Concepts. Energies vol. 8 9211–9265 (2015) – 10.3390/en8099211
  • Das, H., Panda, G. S., Muduli, B. & Rath, P. K. The Complex Network Analysis of Power Grid: A Case Study of the West Bengal Power Network. Advances in Intelligent Systems and Computing 17–29 (2014) doi:10.1007/978-81-322-1665-0_3 – 10.1007/978-81-322-1665-0_3
  • Elsayed, A. T., Mohamed, A. A. & Mohammed, O. A. DC microgrids and distribution systems: An overview. Electric Power Systems Research vol. 119 407–417 (2015) – 10.1016/j.epsr.2014.10.017
  • 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 Transactions on Industrial Electronics vol. 58 158–172 (2011) – 10.1109/tie.2010.2066534
  • Hatziargyriou, N., Asano, H., Iravani, R. & Marnay, C. Microgrids. IEEE Power and Energy Magazine vol. 5 78–94 (2007) – 10.1109/mpae.2007.376583
  • Ilic, M. D., Xie, L., Khan, U. A. & Moura, J. M. F. Modeling of Future Cyber–Physical Energy Systems for Distributed Sensing and Control. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans vol. 40 825–838 (2010) – 10.1109/tsmca.2010.2048026
  • Karcanias, N., Leventides, J. & Livada, M. Matrix pencil representation of structural transformations of passive electrical networks. 2014 6th International Symposium on Communications, Control and Signal Processing (ISCCSP) 416–420 (2014) doi:10.1109/isccsp.2014.6877902 – 10.1109/isccsp.2014.6877902
  • Koç, Y., Warnier, M., Mieghem, P. V., Kooij, R. E. & Brazier, F. M. T. The impact of the topology on cascading failures in a power grid model. Physica A: Statistical Mechanics and its Applications vol. 402 169–179 (2014) – 10.1016/j.physa.2014.01.056
  • Konstantopoulos, Stability and convergence analysis for a class of nonlinear passive systems. 50th Conference on Decision and Control and European Control Conference (CDC-ECC). Orlando, Florida, USA (2011)
  • Konstantopoulos, G. C. & Alexandridis, A. T. Generalized Nonlinear Stabilizing Controllers for Hamiltonian-Passive Systems With Switching Devices. IEEE Transactions on Control Systems Technology vol. 21 1479–1488 (2013) – 10.1109/tcst.2012.2207724
  • Macchelli, A variable structure approach to energy shaping. European Control Conference (ECC). Cambridge U.K. (2003)
  • Ortega, Passivity-based control of Euler–Lagrange systems. Berlin, Germany (1998)
  • Pagani, G. A. & Aiello, M. The Power Grid as a complex network: A survey. Physica A: Statistical Mechanics and its Applications vol. 392 2688–2700 (2013) – 10.1016/j.physa.2013.01.023
  • Pahwa, S., Scoglio, C., Das, S. & Schulz, N. Load-shedding Strategies for Preventing Cascading Failures in Power Grid. Electric Power Components and Systems vol. 41 879–895 (2013) – 10.1080/15325008.2013.792884
  • Papalexopoulos, A., Hansen, C., Frowd, R., Tuohy, A. & Lannoye, E. Impact of the transmission grid on the operational system flexibility. 2016 Power Systems Computation Conference (PSCC) 1–10 (2016) doi:10.1109/pscc.2016.7541027 – 10.1109/pscc.2016.7541027
  • Rocabert, J., Luna, A., Blaabjerg, F. & Rodríguez, P. Control of Power Converters in AC Microgrids. IEEE Transactions on Power Electronics vol. 27 4734–4749 (2012) – 10.1109/tpel.2012.2199334
  • Simpson-Porco, J. W., Dörfler, F. & Bullo, F. Voltage collapse in complex power grids. Nature Communications vol. 7 (2016) – 10.1038/ncomms10790
  • Yang, C. et al. Wide-area multiple line-outages detection in power complex networks. International Journal of Electrical Power & Energy Systems vol. 79 132–141 (2016) – 10.1016/j.ijepes.2015.11.119
  • Yazdani, A. & Iravani, R. Voltage‐Sourced Converters in Power Systems. (2010) doi:10.1002/9780470551578 – 10.1002/9780470551578
  • Zonetti, D., Ortega, R. & Benchaib, A. Modeling and control of HVDC transmission systems from theory to practice and back. Control Engineering Practice vol. 45 133–146 (2015)10.1016/j.conengprac.2015.09.012