This paper proposes an observability index for evaluation of measurement formation in estimation of total output of solar photovoltaic generators (PVs) widely distributed in a power system area. Since direct measurement of all the PVs in the area is infeasible in reality, estimation error is unavoidable. In this paper observability is defined as the maximum accuracy of an ideal estimator of the total output. In the place of an ideal estimator, a known estimation method is used to approximately quantify observability. First,
correlation
coefficient as a function of
distance (CCoD) is qualitatively justified since the estimation method employed is based on CCoD. Second, an observability index is defined as the maximum accuracy of the estimation. The index depends on spatial distribution of both measurement points and PVs. Third, the index is calculated for an actual large scale measurement formation and then the characteristic of the index is discussed to show its appropriateness.
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