Optimal Phasor Measurement Unit Placement for Numerical Observability Using A Two-Phase Branch-and-Bound Algorithm

References

[1] Phadke AG, Thorp JS. Synchronized phasor measurements and their applications. New York, NY: Springer Science+Business Media, LLC, Power Electronics and Power Systems, 2008.10.1007/978-0-387-76537-2Search in Google Scholar

[2] Arora J. Introduction to optimum design, 4th ed. Elsevier, 2016. ISBN: 9780128009185.Search in Google Scholar

[3] Manousakis NM, Korres GN, Georgilakis PS. Taxonomy of PMU placement methodologies. IEEE Trans Power Syst. 2012;27(2):1070–177.10.1109/TPWRS.2011.2179816Search in Google Scholar

[4] Yang XS. Engineering optimization. An introduction with metaheuristic applications. Hoboken, New Jersey: John Willey and Sons, Inc, 2010.10.1002/9780470640425Search in Google Scholar

[5] Brueni J, Heath LS. The PMU placement problem. SIAM J Discrete Math. 2005;19(3):744–61.10.1137/S0895480103432556Search in Google Scholar

[6] Poirion PL, Toubaline S, D’Ambrosio C, Liberti L. The power edge set problem. Networks Int J. 2016;68(2):104–20.10.1002/net.21684Search in Google Scholar

[7] Haynes WT, Hedetniemi SM, Hedetniemi ST, Henning MA. Domination in graphs applied to electric power networks. SIAM J Discrete Math. 2002;15(4):519–29.10.1137/S0895480100375831Search in Google Scholar

[8] Xu B, Abur A. Optimal placement of phasor measurement units for state estimation. Final project report, PSERC, 2005.Search in Google Scholar

[9] Xu B, Abur A. Observability analysis and measurement placement for systems with PMUs. IEEE PES Power Systems Conference and Exposition, 2004:943–46.Search in Google Scholar

[10] Gou B. Generalized integer linear programming formulation for optimal PMU placement. IEEE Trans Power Syst. 2008;23(3):1099–104.10.1109/TPWRS.2008.926475Search in Google Scholar

[11] Dua D, Dambhare S, Gajbhiye RK, Soman SA. Optimal multistage scheduling of PMU placement: an ILP approach. IEEE Trans Power Del. 2008;23(4):1812–20.10.1109/TPWRD.2008.919046Search in Google Scholar

[12] Abbasy NH, Ismail HM. A unified approach for the optimal PMU location for power system state estimation. IEEE Trans Power System. 2009;24(2):806–13.10.1109/TPWRS.2009.2016596Search in Google Scholar

[13] Aminifar F, Khodaei A, Fotuhi-Firuzabad M, Shahidehpour M. Contingency-constrained PMU placement in power networks. IEEE Trans Power System. 2010;25(1):516–23.10.1109/TPWRS.2009.2036470Search in Google Scholar

[14] Pal A, Sánchez-Ayala GA, Thorp JS, Centeno VA. A community-based partitioning approach for phasor measurement unit placement in large systems. Electr Power Compon Syst. 2016;44(16):1317–29.10.1080/15325008.2016.1167791Search in Google Scholar

[15] Sodhi R, Srivastava SC, Singh SN. Optimal PMU placement method for complete topological and numerical observability of power system. Electric Power Syst Res. 2010;80:1154–59.10.1016/j.epsr.2010.03.005Search in Google Scholar

[16] Theodorakatos NP, Manousakis NM, Korres GN. Optimal PMU placement using nonlinear programming. OPT-i – An International Conference on Engineering and Applied Sciences Optimization, Kos Island, Greece. 2014:240–58.Search in Google Scholar

[17] Theodorakatos NP, Manousakis NM, Korres GN. Optimal placement of phasor measurement units with linear and nonlinear models. Electr Power Compon Syst. 2015;43(4):357–3732.10.1080/15325008.2014.981319Search in Google Scholar

[18] Theodorakatos NP, Manousakis NM, Korres GN. A sequential quadratic programming method for contingency constrained phasor measurement unit placement. Int Trans Electrical Energy Syst. 2015;25(12):3185–211.10.1002/etep.2027Search in Google Scholar

[19] Korres GN, Manousakis NM, Xygkis TC, Lofberg J. Optimal phasor measurement unit placement for numerical observability in the presence of conventional measurement using semi-definite programming. IET Gener Transm Distrib. 2015;9(15):2427–36.10.1049/iet-gtd.2015.0662Search in Google Scholar

[20] Chakrabarti S, Kyriakides E, Eliades DG. Placement of synchronized measurements for power system observability. IEEE Trans Power Delivery. 2009;24(1):12–19.10.1109/TPWRD.2008.2008430Search in Google Scholar

[21] Milosevic B, Begovic M. Nondominated sorting genetic algorithm for optimal phasor measurement placement. IEEE Trans Power Syst. 2003;18(1):69–75.10.1109/TPWRS.2002.807064Search in Google Scholar

[22] Koutsoukis NC, Manousakis NM, Georgilakis PS, Korres GN. Numerical observability method for optimal phasor measurement units placement using recursive Tabu search method. IET Gener Transm Distrib. 2013;7(4):347–56.10.1049/iet-gtd.2012.0377Search in Google Scholar

[23] Mishra C, Jones KD, Anamitra P, Centeno V. Binary particle swarm optimisation-based optimal substation coverage algorithm for phasor measurement unit installations in practical systems. IET Gener Transm Distrib. 2016;10(2):1–8.10.1049/iet-gtd.2015.1077Search in Google Scholar

[24] Vadetic B, Chandel AK. Optimal PMU placement for power system observability using Taguchi binary bat algorithm. Measurement. 2016;95(8):20. Elsevier.10.1016/j.measurement.2016.09.031Search in Google Scholar

[25] Chakrabati S, Kyriakides E. Optimal placement of phasor measurement units for power system observability. IEEE Trans Power Syst. 2008;23(3):1433–50.10.1109/TPWRS.2008.922621Search in Google Scholar

[26] Aminifar F, Lucas C, Khodaei A, Fotuhi-Firuzabad MF. Optimal placement of phasor measurement units using immunity genetic algorithm. IEEE Trans Power Deliv. 2009;24(3):1014–20.10.1109/TPWRD.2009.2014030Search in Google Scholar

[27] Theodorakatos NP, Manousakis NM, Korres GN. Optimal placement of PMUs in power systems using binary integer programming and genetic algorithm. 9th Mediterranean Conference on Power Generation, Transmission Distribution and Energy Conversion, MedPower 2014, Athens; Greece, 12:140–46.10.1049/cp.2014.1656Search in Google Scholar

[28] Floudas C. Nonlinear and mixed-integer optimization: fundamentals and applications. New York: Oxford University Press, 1995.10.1093/oso/9780195100563.001.0001Search in Google Scholar

[29] Cormen TH, Leiserson CE, Rivest RL. Introduction to algorithms. 3nd ed. Cambridge, MA: MIT Press, 2009.Search in Google Scholar

[30] Wolsey LA, Nemhauser GL. Integer and combinatorial optimization. New York, NY: John Willey and Sons, 1999.Search in Google Scholar

[31] Floudas C, Pardalos P. Encyclopedia of optimization. New York, NY: Springer US, 2009.10.1007/978-0-387-74759-0Search in Google Scholar

[32] Abur A, Exposito AG. Power system state estimation. Theory and implementation. New York, Basel: Marcel Dekker, Inc, 2004.10.1201/9780203913673Search in Google Scholar

[33] Ramesh L, Choudhury SP, Chowdhury S, Crossley PA. Electrical power system state estimation meter placement – a comparative survey report. Electr Power Compon Syst. 2008;36:1115–29.10.1080/15325000802046918Search in Google Scholar

[34] Monticelli A. State estimation in electric power systems: a generalized approach. Norwell: Kluwer, 1999.10.1007/978-1-4615-4999-4Search in Google Scholar

[35] Exposito AG, Conejo AJ, Canizares C. Electric energy systems: analysis and operation. New York, Basel: Taylor & Francis Group, 2008.Search in Google Scholar

[36] Korres GN. An integer-arithmetic algorithm for observability analysis of systems with SCADA and PMU measurements. Electric Power Syst Res. 2011;81:1388–402.10.1016/j.epsr.2011.02.005Search in Google Scholar

[37] Korres GN, Manousakis NM. Observability analysis and restoration for state estimation using SCADA and PMU data, Power and Energy Society General Meeting, 2012 IEEE.10.1109/PESGM.2012.6345096Search in Google Scholar

[38] Arora RK. Optimization: algorithms and applications. New York, Basel: Taylor & Francis Group, LLC, 2015.10.1201/b18469Search in Google Scholar

[39] Karlof JK. Integer programming: theory and practice. New York, Basel: Taylor Francis Group, LLC, 2006.Search in Google Scholar

[40] Chen DS, Batson RG, Yang Y. Applied Integer Linear Programming: Modelling and Solution. New York: John Willey and Sons, Inc, Publication, 2010.Search in Google Scholar

[41] Holmström K. Tomlab Software AB. Available at: https://tomopt.com/tomlab/. Accessed: 9 Jan 2016.Search in Google Scholar

[42] Chong EK, Zak. SH. An introduction to optimization. New York: John Willey and Sons, 2001.Search in Google Scholar

[43] Williams HP. Model building in mathematical programming. New York: John Wiley & Sons, 2013.Search in Google Scholar

[44] Chinneck JW. Feasibility and infeasibility in optimization: algorithms and computational methods. New York, NY: Springer Science+Business Media, LLC, 2008.Search in Google Scholar

[45] Hedrix EM, Toth B. Introduction to nonlinear and global optimization. New York, NY: Springer, 2010.10.1007/978-0-387-88670-1Search in Google Scholar

[46] Messac A. Optimization in practice with Matlab for engineering students and professionals. Cambridge: Cambridge University Press, 2015.10.1017/CBO9781316271391Search in Google Scholar

[47] Optimization Toolbox for use with MATLAB®. User’s guide for mathwork.Search in Google Scholar

[48] Gurobi. Mixed-integer programming (MIP) - a primer on the basics. Available at: http://www.gurobi.com/resources/getting-started/mip-basics. Accessed: 26 Feb 2017.Search in Google Scholar

[49] University of Washington. Power systems test case archive. Available at: http://www.ee.washington.edu/research/pstca/. Accessed: 9 Jan 2016.Search in Google Scholar