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Contingency-Constrained PMU Placement in Power Networks

Contingency-Constrained PMU Placement in Power Networks. Farrokh Aminifar , Amin Khodaei , Mahmud Fotuhi-Firuzabad , and Mohammad Shahidehpour. Outline. Introduction Problem Formulation Integer Linear Programming Experimental Results Conclusion. Definition .

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Contingency-Constrained PMU Placement in Power Networks

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  1. Contingency-Constrained PMUPlacement in Power Networks FarrokhAminifar, AminKhodaei, Mahmud Fotuhi-Firuzabad, and Mohammad Shahidehpour

  2. Outline • Introduction • Problem Formulation • Integer Linear Programming • Experimental Results • Conclusion

  3. Definition • PMU is a device for synchronizing ac voltage and current measurements with a common time reference. http://criepi.denken.or.jp/en/system/common/img/unit/unit1_ind_pic2.gif http://www.phasor-rtdms.com/phaserconcepts/images/pmu.jpg

  4. Problem Formulation • The objective of PMU placement problem is to find the minimum # of PMUs as well as their placement to make the power network topologically observable. bus 12 bus 13 bus 14 bus 10 bus 9 bus 6 bus 11 bus 7 bus 8 bus 5 bus 4 bus 3 bus 1 bus 2

  5. ILP Notation

  6. Traditional ILP Formulation bus 12 bus 13 bus 14 bus 10 bus 9 bus 6 bus 11 bus 7 bus 8 bus 5 bus 4 bus 3 bus 1 bus 2 a12 =1

  7. New Constraints in This Work • Effect of Zero-Injection Buses • Loss of Measurement Contingency • Line Outage Contingency • Measurement Limitations

  8. Zero-Injection Buses Parameter “z” is a binary parameter that is equal to 1 if bus is a zero-injection bus and 0 otherwise

  9. Zero-Injection Buses (Cont.) bus 12 bus 13 bus 14 bus 10 bus 9 bus 6 bus 11 bus 7 bus 8 bus 5 bus 4 bus 3 bus 1 bus 2

  10. Loss of Measurement Contingency

  11. Loss of Measurement Contingency (Cont.)

  12. Line Outage Contingency

  13. Line Outage Contingency (Cont.)

  14. Measurement Limitations

  15. Experimental Setup • The standard IEEE 14, IEEE 30, IEEE 39, IEEE 57 and IEEE 118 are investigated. • CPLEX solver is used to solve the ILP.

  16. Experimental Results

  17. Comparing to other works (Cont.)

  18. Conclusions • A fast and practical model based on integer linear programming is proposed for solving the optimal PMU placement problem. • Different contingency conditions associated with power systems, i.e., line outages and loss of measurements were considered. • Communication constraints of power networks were considered as measurement limitations and included in the model.

  19. Thanks • Questions?

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