This paper proposes a combined statistical and fuzzy Markov method for reliability evaluation of phasor measurement unit (PMU). The major purpose is to deal with uncertainties of reliability data in PMU. The membership functions of reliability parameters can be built based on statistics and fuzzy set theory. The fuzzy hierarchical Markov models are presented to quantify membership functions of multiple reliability indices of the entire PMU. A fuzzy sensitivity analysis index is developed to estimate the effects of parameter uncertainties on the uncertainty of PMU reliability and identify the most sensitive component(s). Numerical results are provided to demonstrate the effectiveness of the proposed techniques.
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Wang et al. (2012) studied this question.
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