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Microsoft Word - DRPT_paper_final.doc
possible to describe the nullspace in the surrounding of a certain point of operation with (18)
2 2 2 2
2 2 2 2
1
,1 ,
n
n n n n
n n n npart null null n
P P P P Q Q Q Q
P P P P Q Q Q Q
α α
Δ Δ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ [...] spanning the nullspace, are pointing vectors, they are normalized according to (17).
( ) ( )
( ){ }2 ,
2 ,
; 1 , , 2n j
n j
diag V C j r m
diag V C δ
δ
⋅ ∀ ∈ +
⋅ … (17)
With these nullspace vectors and the partial [...] depicted in figure 2, with the line parameters given in table 1 has been used.
Fig. 2. Topology of the test network
TABLE I
LINE PARAMETERS USED IN THE NUMERICAL STUDY Line 'X 'R Length 1 2− 10.727 km−Ω ⋅ …