How to obtain the sequence impedances from the Z matrix
To obtain the sequence impedance from the Z matrix, transpose the impedance matrix (Z) first:
Impedance Matrix:
Symmetrical Component Matrix:
Then the sequence impedances are as follows:
Example:
Given the impedance matrix of a cable:
Zs = 0.064143 + j0.010117
Zm = 0.010583 + j0.003438
Thus,
Z0 = (0.064143 + j0.010117) + 2*(0.010583 + j0.003438)
Z0 = 0.0853 + j0.017
Z0 = R0 + jX0
Z1 = (0.064143 + j0.010117) - (0.010583 + j0.003438)
Z1 = 0.0536 + j0.0067
Z1 = R1 + jX1
These are the same results shown on the cable datablock:
Impedance Matrix:
Symmetrical Component Matrix:
Then the sequence impedances are as follows:
Example:
Given the impedance matrix of a cable:
Zs = 0.064143 + j0.010117
Zm = 0.010583 + j0.003438
Thus,
Z0 = (0.064143 + j0.010117) + 2*(0.010583 + j0.003438)
Z0 = 0.0853 + j0.017
Z0 = R0 + jX0
Z1 = (0.064143 + j0.010117) - (0.010583 + j0.003438)
Z1 = 0.0536 + j0.0067
Z1 = R1 + jX1
These are the same results shown on the cable datablock:
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