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PROBLEMS 465 shown meters 9.3 You are given in the following network with at loc

ID: 2248318 • Letter: P

Question

PROBLEMS 465 shown meters 9.3 You are given in the following network with at locations as in Figure 9.25. Load 2 Load 1 - us 2 Bus 1 M13 M 12 Bus 4 (Reference) Bus 3 FIGURE 9.25 Four-bus system with measurements for Problem 9.3. Branch Impedances (pu) X=0.25 X=0.50 X=0.40 X=0.10 Measurement Errors Measurement Values M =-.70.5 M, = 72. 1 M=21.2 o, = 0.01 o, = 0.01 0.02 o, = a. Is this network observable? Set up the least-squares equations and try to invert (HR 'H). 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: M, = 92 MW with o= 0.015 3gen 4 Repeat part a including this measurement. the to be Given the network shown in Figure 9.26, network is modele with a DC power flow with line reactances as follows (assume 100MV base):

Explanation / Answer

a) this network is observable

inversion of above matrix gives 3

b) generation at bus 3

output will be 45

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