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80  Decision Making Applications in Modern Power Systems



              TABLE 3.4 Failure probability of the phasor measurement unit and its
              communication network combined as a single system.
              Number of optical   λ sys (failures/  μ sys (repairs/  Failure
              repeaters (l)       year)         year)       probability U (l)
              0                   0.0044047     5.538669    7.9466E 2 04
              1                   0.0087873     10.66897    8.2285E 2 04
              2                   0.0131652     15.87640    8.2887E 2 04
              3                   0.0175549     19.94771    8.7926E 2 04
              4                   0.0219404     23.94447    9.1550E 2 04









                       Bus 6                                Bus 1




                                 Bus 4           Bus 3
                                                           Bus 2




                       Bus 5                   Bus with PMU


                                               Bus with PDC
                                                Optical fiber
                                               Optical repeater
            FIGURE 3.14 Sample network for risk assessment.



              TABLE 3.5 Risk assessment for the sample network.
              PMU           Severity (s)  Failure probability p 5 U(R)  Risk (r)
                                                                  r 5 s 3 p
              PMU at bus 3  2            U (3) 5 8.7926E 2 04     0.0017585
              PMU at bus 4  2            U (2) 5 8.2285E 2 04     0.0016457

              PMU, Phasor measurement unit.
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