# 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:

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 = R0 + jX0

Z1 = (0.064143 + j0.010117) - (0.010583 + j0.003438)

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: