Calculate the best estimate for the phase angles

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Using the three-bus sample system shown in Figure, assume that the three meters have the following characteristics.

Meter

Full Scale (MW)

Accuracy (MW)

σ(pu)

M12

100

±6

0.02

M13

100

±3

0.01

M32

100

±0.6

0.002

a. Calculate the best estimate for the phase angles θ1 and θ2 given the following measurements.

Meter

Measured Value (MW)

M12

60.0

M13

4.0

M32

40.5

b. Calculate the residual J(x). For a significance level, a, of 0.01, does J(x) indicate the presence of bad data? Explain.

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Reference no: EM131326331

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