Advertisement

The Valuation of Kron Reduction Application in Load Flow Methods

  • Tarik HubanaEmail author
  • Sidik Hodzic
  • Emir Alihodzic
  • Ajdin Mulaosmanovic
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 59)

Abstract

The presence of new smart monitoring devices in the modern power system eases the operation of the system, and as a part of this, computational load flow calculations are becoming more present. Load flow calculations as a part of the smart grid monitoring systems have an important role in the real time calculations. Thus, their optimization is crucial, by making the calculation time as fast as possible, by using less hardware resources. One way to achieve this is to use the Kron reduction for node elimination in the load flow process. This paper analyses and compares the efficiency of the Kron reduction in different load flow methods. Results obtained from the developed real 10-bus, 17-bus and 50-bus systems show the efficiency of the Kron reduction applied on five different load flow methods. It is demonstrated that the proposed method is capable to significantly reduce the computational time and the number of load flow’s iterations. This paper makes a contribution to the existing body of knowledge by testing and comparing the Kron reduction effect on multiple load flow methods, whose application represents an improvement when compared to the operation of the standard load flow algorithms.

References

  1. 1.
    Thomas, A.: An overview of power flow analysis. Paper presented at American Control Conference, San Francisco, CA, USA, 22–24 June 1983 (1983)Google Scholar
  2. 2.
    Van Ameronge, R.A.M.: A general-purpose version of the fast decoupled load flow. IEEE Trans. Power Syst. 4(2), 760–770 (1989)CrossRefGoogle Scholar
  3. 3.
    Behnam-Guilani, K.: Fast decoupled load flow: the hybrid model. IEEE Trans. Power Syst. 3(2), 734–742 (1988).  https://doi.org/10.1109/59.192929CrossRefGoogle Scholar
  4. 4.
    Takamichi, O., Daiki, Y., Kaoru, K.: The development and the application of fast decoupled load flow method for distribution systems with high R/X ratios lines. Paper presented at 2013 IEEE PES Innovative Smart Grid Technologies (ISGT), Washington, DC, USA, 24–27 February 2013 (2013).  https://doi.org/10.1109/isgt.2013.6497842
  5. 5.
    Nguyen, H.L.: Newton-Raphson method in complex form [power system load flow analysis]. IEEE Trans. Power Syst. 12(3), 1355–1359 (1997).  https://doi.org/10.1109/59.630481CrossRefGoogle Scholar
  6. 6.
    Nursyarizal, M.N., Ramiah, J., Perumal, N.: Newton-Raphson state estimation solution employing systematically constructed jacobian matrix. In: Kankesu, J. (ed.) Advanced Technologies. InTech (2009).  https://doi.org/10.5772/8200
  7. 7.
    Lagace, P.J.: Power flow methods for improving convergence. Paper presented at IECON 2012 – 38th Annual Conference on IEEE Industrial Electronics Society, Montreal, QC, Canada, 25–28 October 2012 (2012).  https://doi.org/10.1109/iecon.2012.6388538
  8. 8.
    Federico, M.: Continuous Newton’s method for power flow analysis. IEEE Trans. Power Syst. 24(1), 50–57 (2009).  https://doi.org/10.1109/tpwrs.2008.2004820CrossRefGoogle Scholar
  9. 9.
    Huang, G., Ongsakul, W.: Managing the bottlenecks of a parallel Gauss-Seidel algorithm for power flow analysis. Paper presented at Proceedings of Seventh International Parallel Processing Symposium, Newport, CA, USA, 13–16 April 1993 (1993).  https://doi.org/10.1109/ipps.1993.262781
  10. 10.
    Sreemoyee, C., Suprovab, M.: A novel comparison of Gauss–Seidel and Newton–Raphson methods for load flow analysis. Paper presented at 2017 International Conference Power and Embedded Drive Control (ICPEDC), Chennai, India, 16–18 March 2017 (2017).  https://doi.org/10.1109/icpedc.2017.8081050
  11. 11.
    Ciric, R.M., Feltrin, A.P., Ochoa, L.F.: Power flow in four-wire distribution networks-general approach. IEEE Trans. Power Syst. 18(4), 1283–1290 (2003).  https://doi.org/10.1109/tpwrs.2003.818597CrossRefGoogle Scholar
  12. 12.
    Florian, D., Francesco, B.: Kron reduction of graphs with applications to electrical networks. IEEE Trans. Circuits Syst. I: Regul. Pap. 60(1), 150–163 (2013)MathSciNetCrossRefGoogle Scholar
  13. 13.
    Caliskan, S.Y., Tabuada, P.: Towards Kron reduction of generalized electrical networks. J. Autom. (J. IFAC) 50(10), 2586–2590 (2014)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Caliskan, S.Y., Tabuada, P.: Kron reduction of power networks with lossy and dynamic transmission lines. Paper presented at 2012 IEEE 51st Annual Conference on Decision and Control (CDC), Maui, HI, USA, 10–13 December 2012 (2012).  https://doi.org/10.1109/cdc.2012.6426580
  15. 15.
    Dorfler, F., Bullo, F.: Synchronization of power networks: network reduction and effective resistance. In: IFAC Proceedings Volumes, vol. 43, no. 19, pp. 197–202 (2010).  https://doi.org/10.3182/20100913-2-fr-4014.00048
  16. 16.
    Luo, L., Dhople, S.V.: Spatiotemporal model reduction of inverter-based islanded microgrids. IEEE Trans. Energy Conversion 29(4), 823–832 (2014).  https://doi.org/10.1109/tec.2014.2348716CrossRefGoogle Scholar
  17. 17.
    Monshizadeh, N., De Persis, C., Van der Schaft, A.J., Scherpen, J.M.A.: A networked reduced model for electrical networks with constant power loads. Paper presented at American Control Conference (ACC), Boston, MA, USA, 6–8 July 2016 (2016).  https://doi.org/10.1109/acc.2016.7525479
  18. 18.
    Ashraf, S.M., Rathore, B., Chakrabarti, S.: Performance analysis of static network reduction methods commonly used in power systems. Paper presented at 2014 Eighteenth National Power Systems Conference (NPSC), Guwahati, India, 18–20 December 2014 (2014).  https://doi.org/10.1109/npsc.2014.7103837
  19. 19.
    Sadovic, S.: Analiza Elektroenergetskih Sistema. Faculty of Electrical Engineering, University of Sarajevo (2011)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Tarik Hubana
    • 1
    Email author
  • Sidik Hodzic
    • 2
  • Emir Alihodzic
    • 3
  • Ajdin Mulaosmanovic
    • 4
  1. 1.Public Enterprise Elektroprivreda of Bosnia and Herzegovina MostarMostarBosnia and Herzegovina
  2. 2.Raible + Partner GmbH & Co.MunichGermany
  3. 3.Public Enterprise Elektroprivreda of Bosnia and Herzegovina, ZenicaZenicaBosnia and Herzegovina
  4. 4.Public Enterprise Elektroprivreda of Bosnia and Herzegovina, JablanicaJablanicaBosnia and Herzegovina

Personalised recommendations