Observability reliability evaluation in power systems considering data uncertainty

In this paper, observability reliability (OR) and loss of data expectation indices (LODE) are calculated considering data uncertainty. Single contingency of Phasor Measurement Unit (PMU) and branch outages are considered in the calculations and to achieve more realistic results, it is assumed that failure data (repair time and failure rate) of all branches and PMU components have uncertainty. Fuzzy set theory is used to deal with data uncertainty. A fuzzy Monte Carlo Simulation approach is proposed to calculate OR and LODE indices in the presence of uncertainty. The proposed method can be used to determine the most reliable PMU placement among the multiple optimal solutions. The IEEE 14-bus system is used to evaluate the effectiveness of the proposed method.