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Probabilistic Placement of Phasor Measurement Units (PMUs) for Power Network Observability

Aminifar, Farrokh | 2010

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 41010 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Fotuhi Firuzabad, Mahmoud; Shahidehpour, Mohammad
  7. Abstract:
  8. Wide-area measurement system (WAMS), which is enabled by broad installation of phasor measurement units (PMUs), is a novel solution for the secure and reliable operation of modern power systems. The adequate number and appropriate location of PMUs has been introduced as a challenging research area in recent years. This dissertation is the first effort to assess the cost/worth analysis of WAMS design and PMU locationing in a probabilistic manner. In the studies conducted here, power network monitoring and control associated with the energy management system (EMS), among miscellaneous applications of WAMS, have been taken into consideration. First, the conventional deterministic definition of the optimal PMU placement problem is addressed and formulated in an efficient mathematical programming format. WAMS structure is then analyzed and the elements influencing the network observability are recognized. Next, the reliability modeling of PMU and calculating its availability are fulfilled. The uncertainty associated with the reliability data of PMU internal components is modeled via Fuzzy set theory. Power network probabilistic observability is devised and mathematical expressions for individual bus probability of observability are extracted. The average value of bus probability of observability indices is introduced as a system index to distinguish the solutions with the same number of PMUs. Optimal probabilistic PMU placement problem and corresponding formulation are presented thereafter. The objective function of this problem is to minimize the number of PMUs subject to satisfying predefined constraints associate with probability of observability indices. The other contribution of this dissertation is developing a new algorithm for power system reliability evaluation considering WAMS component failures. The algorithm is employed in the cost/worth analysis of WAMS. Proposed methods and formulations are examined on a 9-bus and IEEE 57-bus test systems and numerical results obtained are thoroughly discussed.


  9. Keywords:
  10. Wide Area Measurement System ; Phasor Measurement Unit ; Power Systems ; Observability ; Reliability Evaluation

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