Dynamic State Estimation with Optimal PMU and Conventional Measurements for Complete Observability
This paper presents a Generalized Binary Integer Linear Programming (GBILP) method for optimal allocation of Phasor Measurement Units (PMUs) and to generate Dynamic State Estimation (DSE) solution with complete observability. The GBILP method is formulated with Zero Injection Bus (ZIB) constraints to reduce the number of locations for placement of PMUs in the case of normal and single line contingency. The integration of PMU and conventional measurements is modeled in DSE process to estimate accurate states of the system. To estimate the dynamic behavior of the power system with proposed method, load change up to 40% considered at a bus in the power system network. The proposed DSE method is compared with traditional Weighted Least Squares (WLS) state estimation method in presence of load changes to show the impact of PMU measurements. MATLAB simulations are carried out on IEEE 14, 30, 57, and 118 bus systems to prove the validity of the proposed approach.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1130987Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 635
 Phadke, Arun G., and John Samuel Thorp. Synchronized phasor measurements and their applications. Springer Science & Business Media, 2008.
 Martin, K. E., et al. "Exploring the IEEE standard C37. 118–2005 synchrophasors for power systems." IEEE transactions on power delivery, vol. 23, no. 4, pp.1805-1811, 2008.
 A.G. Phadke, J.S. Thorp, and K.J. Karimi, “State estimation with phasor measurements,” IEEE Trans. Power Syst., vol. 1, no. 1, pp.233–238, Feb. 1986.
 A. Abur and A.G. Exposito, “Power System Sate Estimation: Theory and Implementations,” New York: Marcel Dekker, Ed.1, 2004.
 G. Valverde, S. Chakrabarti, E. Kyriakides, and V. Terzija, “A constrained formulation for hybrid state estimation,” IEEE Trans. Power Syst., vol. 26, no. 3, Aug 2011.
 R.F. Nuqui, and A.G. Phadke, “Hybrid Linear state estimation utilizing synchronized Phasor measurements,” IEEE conference [email protected]
 A.S. Costa, A. Albuquerque, D. Bez, “An Estimation Fusion method for including phasor measurements into power system real time modeling,” IEEE Trans. Power Syst., vol. 28, no. 2, May 2013.
 M. Gol, A. Abur, and F. Galvan “Performance matrices for power system state estimators and measurement designs,” IEEE power & energy magazine, 16th Aug 2012.
 M. Zhou, V.A. Centeno, J.S. Thorp and A.G. Phadke, “An alternative for including phasor measurements,” IEEE Trans. Power Syst. vol. 21, no. 4, Nov 2006.
 S. Chakrabarti, E. Kyriakides, G. Ledwich, A. Ghosh, “Inculsion of current phasor measurements in a power system state estimator,” IET generation transmission and distribution, Nov 2009.
 S. Chakrabarti and E. Kyriakides, “PMU measurement uncertainty considerations in WLS state estimation,” IEEE Trans. on power systems, vol. 24, no. 2, May 2009.
 A. Abur and F. H. Magnago, “Optimal meter placement for maintaining observability during single branch outages,” IEEE Trans. Power Syst., vol. 14, no. 4, pp. 1273–1278, Nov. 1999.
 D. Devesh, D. Sanjay, G. Rajeev Kumar, and S. A. Soman, “Optimal Multistage Scheduling of PMU Placement: An ILP Approach,” IEEE transactions on power delivery, vol. 23, no. 4, Oct 2008..
 H.H. Muller and C.A. Castro, “Genetic algorithm based phasor measurement placement method considering observability and security criteria,” IET Generation. Transmission and Distribution, Sep.20, 2015.
 F. Aminifar, C. Lucas, A. Khodaei and M.F. Firuzabad, “Optimal Placement of phasor measurement units using Immunity Genetic Algorithm,” IEEE Trans. Power Delivery, vol.24, no3, july.2009.
 M. Ravindra, R. Srinivasa Rao, and K. Kalyan Raj. “Critical Bus Constrained Optimal PMU Allocation with Zero Injection Modeling for Complete Observability,” Indian Journal of Science and Technology, Vol. 9, S1, Dec. 2016.
 M. Ravindra and R. Srinivasa Rao. “Dynamic state estimation solution with optimal allocation of PMUs in presence of load changes,” Intelligent Control Power and Instrumentation (ICICPI), International Conference on. IEEE, 2016.
 F. Aminifar, A. Khodaei, M.F. Firuzabad, and M. Shahidehpour, “Contingency Constrained PMU placement in power networks,” IEEE Trans on power systems, vol. 25, no. 1, Feb.2010.
 N. H. Abbasy and H.M Ismail, “A unified approach for the optimal PMU location for power system state estimation,” IEEE Trans. Power Syst., vol. 24, no. 2, pp. 806–813, May. 2009
 B. Gou, “Generalized Integer Linear Programming formulation for optimal PMU placement,” IEEE Trans. Power Syst., vol. 23, no.3, Aug. 2008.
 S. Chakrabarti, E. Kyriakides and D. G. Eliades, “Placement of synchronized measurements for power system observability,” IEEE Trans. Power Syst., vol. 24, no. 1, pp. 12–19, Jan. 2009
 S. Chakrabarti and E. Kyriakides, “Optimal placement of phasor measurement units for power system observability,” IEEE Trans. Power Syst., vol. 23, no. 3, pp. 1433–1440, May. 2008.