Book Power Generation Operation and Control 2nd Edition 93 Y

Book: Power Generation, Operation and Control 2nd Edition

9.3 You are given in the following network with meters at locations as shown in Figure 9.25. Load 2 Load 1 Bus 2 Bus 1 13 12 31 Bus 4 Bus 3 (Reference) 64 0 FIGURE 9.25 Four-bus system with measurements for Problem 9.3 Branch Impedances (pu) X,, 0.25 Xu 0.50 0.40 0.10 Measurement Values Measurement Errors Mu 70.5 0.01 72.1 31 0.01 31 21.2 012 0.02 a. Is this network observable? Set up the least-squares equations and try to invert [HTR 1H0. b. Suppose we had a measurement of generation output at bus 3 and included it in our measurement set. Let this measurement be the following: 3gen 92 MW with o 0.015 Repeat part a including this measurement

Solution

a) this network is observable

inversion of above matrix gives 3

b) generation at bus 3

output will be 45