T. H. SIKIRU ET AL.

990

00.2 0.4 0.6 0.8 11.2 1.4

0.8 4

0.8 6

0.8 8

0.9

0.9 2

0.9 4

0.9 6

0.9 8

1

1.0 2

1.0 4

Loading Parameter

(p.u.)

Voltage (p.u.)

No SVC (Bus 30)

Pro po sed ap proa c h (B u s 34)

MS-B e nd er deco m po s it i o n (Bus 25)

Figure 4. Power-voltage curve of the test network.

reaching their reactive power limits. This allows the gen-

erators to be free to supply more active power as the load

demand increases in topologically strong networks. On

the other hand, for topologically weak networks, the

compensators should be located on nodes farthest from

the generators, (i.e. on buses associated with the smallest

eigenvalues) [20,24] to ensure that the networks would

be within the acceptable voltage limits.

5. Conclusions

This paper has demonstrated that the network inherent

characteristics derivable from the Schur complement of

the partitioned Y-admittance matrix could be used to

identify suitable locations for improving reactive power

reserve margins in power system networks. For the case

of topologically weak (ill conditioned) networks, buses

associated with the smallest eigenvalues are suitable lo-

cations for installing reactive power compensators to

ensure feasibility of the network operating voltages. On

the other hand, topologically strong networks, operating

well within the desired voltage limits could increase their

loadability margin by installing reactive power compen-

sators on buses associated with the largest eigenvalues.

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