Minimizing the number of PMUs and their optimal placement in power systems

Abstract This paper presents a new method for minimizing the number of PMUs and their optimal placement in power systems. The proposed method provides suitable constraints for power systems with two adjacent injection measurements (IMs). In addition, suitable constraints for considering the connection of two buses to each other and to an injection bus are proposed. The proposed constraints result in a reduction in the number of PMUs even though the system topological observability is complete. Existing conventional measurements are also considered. First, the number of PMUs is minimized in such a way that the system topological observability is complete. Then the optimal placement is done to maximize the measurements redundancy. The resulting phased to be installed in multiple stages. The optimal number of PMUs that ensure system topological observability under failure of a PMU or a line is also simulated. Simulations are performed on IEEE 30, 57 and 118 bus test systems by binary integer programming. The results show that the number of PMUs is equal to or less than the corresponding results of recently published papers, while the system topological observability is complete, and measurement redundancy is increased.

[1]  Joong-Rin Shin,et al.  Optimal placement of phasor measurement units with GPS receiver , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

[2]  A.G. Phadke,et al.  Phasor measurement unit placement techniques for complete and incomplete observability , 2005, IEEE Transactions on Power Delivery.

[3]  Yuanzhan Sun,et al.  Optimal PMU placement for full network observability using Tabu search algorithm , 2006 .

[4]  H. Mori,et al.  Tabu search based meter placement for topological observability in power system state estimation , 1999, 1999 IEEE Transmission and Distribution Conference (Cat. No. 99CH36333).

[5]  M.B. Do Coutto Filho,et al.  Meter placement for power system state estimation using simulated annealing , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[6]  A. Abur,et al.  Placement of PMUs to Enable Bad Data Detection in State Estimation , 2006, IEEE Transactions on Power Systems.

[7]  M. Shahidehpour,et al.  Contingency-Constrained PMU Placement in Power Networks , 2010, IEEE Transactions on Power Systems.

[8]  M. Begovic,et al.  Nondominated sorting genetic algorithm for optimal phasor measurement placement , 2002, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[9]  M. Begovic,et al.  Nondominated Sorting Genetic Algorithm for Optimal Phasor Maesurement Placement , 2002 .

[10]  M. Fotuhi-Firuzabad,et al.  Optimal Placement of Phasor Measurement Units Using Immunity Genetic Algorithm , 2009, IEEE Transactions on Power Delivery.

[11]  A.G. Phadke,et al.  Synchronized phasor measurements in power systems , 1993, IEEE Computer Applications in Power.

[12]  Babak Mozafari,et al.  Optimal placement of PMUs to maintain network observability using a modified BPSO algorithm , 2011 .

[13]  Ali Abur,et al.  Placement of PMUs with channel limits , 2009, 2009 IEEE Power & Energy Society General Meeting.

[14]  Wang Bo,et al.  Transmission network fault location using sparse PMU measurements , 2009, 2009 International Conference on Sustainable Power Generation and Supply.

[15]  S. C. Srivastava,et al.  Multi-criteria decision-making approach for multistage optimal placement of phasor measurement units , 2011 .

[16]  Arun G. Phadke,et al.  Synchronized Phasor Measurements and Their Applications , 2008 .

[17]  F. J. Marín,et al.  Genetic algorithms for optimal placement of phasor measurement units in electrical networks , 2003 .

[18]  Demetrios G. Eliades,et al.  Placement of Synchronized Measurements for Power System Observability , 2009, IEEE Transactions on Power Delivery.

[19]  P. Praks,et al.  Measurement placement algorithms for state estimation when the number of phasor measurements by each PMU is limited , 2008, 2008 43rd International Universities Power Engineering Conference.

[20]  T. Baldwin,et al.  Power system observability with minimal phasor measurement placement , 1993 .

[21]  S.A. Soman,et al.  Optimal Multistage Scheduling of PMU Placement: An ILP Approach , 2008, IEEE Transactions on Power Delivery.

[22]  B. Gou.  Optimal Placement of PMUs by Integer Linear Programming , 2008, IEEE Transactions on Power Systems.

[23]  A. Abur,et al.  Observability analysis and measurement placement for systems with PMUs , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[24]  Federico Milano,et al.  A security oriented approach to PMU positioning for advanced monitoring of a transmission grid , 2002, Proceedings. International Conference on Power System Technology.

[25]  A. Abur,et al.  Improved bad data processing via strategic placement of PMUs , 2005, IEEE Power Engineering Society General Meeting, 2005.

[26]  A. G. Expósito,et al.  Power system state estimation : theory and implementation , 2004 .