Optimal Placement of PMUs in Power Systems Using Mixed Integer Non Linear Programming and Bacterial Foraging Algorithm

Authors

  • Kazem Mazlumi Electrical Engineering Department, Zanjan University
  • Hesan Vahedi Electrical Engineering Department, Zanjan University

DOI:

https://doi.org/10.37936/ecti-eec.201191.172466

Keywords:

Optimal Placement, PMU, Bacterial Foraging Algorithm, MINLP

Abstract

This paper aims to optimize the PMU (Phasor Measurement Unit) placement for a full observation of the power network and the minimum number of PMUs. In this paper, competition of Mixed Integer Non-Linear Programming and heuristically algorithms such as Bacterial Foraging Algorithm is presented. The results are demonstrated with PMU placement optimization simulation and a redundancy measurement analysis by using IEEE14-bus and Tehran Regional electric company 41-bus networks.

References

[1] A. G. Phadke, J. S. Thorp, and K. J. Karimi, "State Estimation with Phasor Measurements," IEEE Transactions on Power Systems, Vol. 1, No. 1, pp. 233-241, February 1986.

[2] A. J. Wood, and B. F. Wollenberg, Power Generation, Operation and Control, New York: Wiley, 1996.

[3] M. Zima, M. Larsson, P. Korba, c. Rehtanz, and G. Andersson, "Design aspect for wide-area monitoring and control systems," Proceeding of. 2005IEEE, vol. 93, pp. 980-996.

[4] M. Begovic, D. Novosel, D. Karlsoon, C. Henville, G. Michel, "Widearea protection and emergency control," Proceeding of. 2005 IEEE, vol. 93, pp. 876-891.

[5] M. G. Adamiak, A. P. Apostolov, M. Begovic, C. F. Henville, K. E. Martin, G. L. Michel, A. G. Phadke, and J. S. Thorp, "Wide-area protection technology and infrastructure," IEEE Trans. Power Delivery, vol. 21, pp. 601-609, Apr. 2006.

[6] T. L. Baldwin, L. Mili, M. B. Boisen, R. Adapa, "Power system observability with minimal phasor measurement placement," IEEE Trans. Power System, vol. 8, pp. 707-715, May. 1993.

[7] B. Xu, A. Abur, "Observability Analysis and measurement placement for system with PMUs," in Proc. 2004 IEEE Power System Conf. Expo, vol. 2, pp. 943-946.

[8] R. F. Niqui, and A. G. Phadke, "Phasor measurement unit placement techniques for complete and incomplete observability," IEEE Trans. Power Delivery, vol. 20, pp. 2381-2388, Oct. 2005.

[9] K. M. Passino, "Biomimicry of bacterial foraging for distributed optimization and control," IEEE Control Syst. Mag., vol. 22, no. 3, pp.52-67, Jun. 2002.

[10] B. A. McCarl, A. Meeraus, P. V. D. Eijk, M. Bussieck, S. Dirkse, P. Steacy, McCarl Expanded GAMS User Guide Version 22.9, 2008, pp. 42. Available Online: http://www.gams.com.

[11] Power Systems Test Case Archive, Available Online at: www.ee.washington.edu/research/pstca/

[12] Mazlumi, K.; Abyaneh, H.A.; Sadeghi, S.H.H.; Geramian, S.S.; "Determination of optimal PMU placement for fault-location observability," IEEE Electric Utility Deregulation and Restructuring and Power Technologies, 2008. DRPT 2008.

Downloads

Published

2010-07-28

How to Cite

Mazlumi, K., & Vahedi, H. (2010). Optimal Placement of PMUs in Power Systems Using Mixed Integer Non Linear Programming and Bacterial Foraging Algorithm. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 9(1), 150–156. https://doi.org/10.37936/ecti-eec.201191.172466