Output File

 

Output files are created by the LCP and are used to display important transmission segment data in a convenient format for the user.  This can include impedance and admittance matrix information, sequence data and travel times.  

 

The format of the output file will change slightly depending on the model used.  See the Additional Options component for details on formatting data in this file.

Phase Data

The phase data section displays relevant line constants at a specific frequency, where all quantities are in the phase domain.  The term 'phase domain' refers to quantities that have not been transformed into the modal domain.  Phase data represents the 'real life' characteristics of the line.

Series Impedance Matrix (Z)

This data represents the system series impedance matrix Z per-unit length (W/m).  The diagonal terms represent the self impedances of each conductor, whereas the off-diagonals are the mutual impedances between the respective conductors.  The dimension of the matrix depends on the final number of equivalent conductors/ground wires in the system N:

 

 

Series Impedance Matrix

 

All elements in this matrix are complex and are given in Cartesian format:

 

 

The positions of elements in this matrix are dependent on the manner in which the conductors/ground wires have been numbered.  The type of ideal transposition that has been selected will also affect this matrix.  

Shunt Admittance Matrix (Y)

This data represents the system shunt admittance matrix Y per-unit length (S/m).  The diagonal terms represent the self admittances of each conductor, whereas the off-diagonals are the mutual admittances between the respective conductors.  The dimension of the matrix depends on the final number of equivalent conductors/ground wires in the system N:

 

 

Shunt Admittance Matrix

 

All elements in this matrix are complex and are given in Cartesian format:

 

 

The positions of elements in this matrix are dependent on the manner in which the conductors/ground wires have been numbered.  The type of ideal transposition that has been selected will also affect this matrix.  

Long-Line Corrected Series Impedance Matrix (ZLL)

This data represents the long-line corrected, series impedance matrix Z (W).  This matrix is the impedance of the entire line length, where all quantities have been passed through a correction algorithm to account for the electrical effects of long line distances.  

 

The long-line corrected quantities have a specific use:  They should be used whenever a single p-section equivalent is being derived to represent the entire line length at a specific frequency.  This data should not be used to define time domain travelling wave models.

Long-Line Corrected Shunt Admittance Matrix (YLL)

This data represents the long-line corrected, shunt admittance matrix Y (S).  This matrix is the admittance of the entire line length, where all quantities have been passed through a correction algorithm to account for the electrical effects of long line distances.  

 

The long-line corrected quantities have a specific use:  They should be used whenever a single p-section equivalent is being derived to represent the entire line length at a specific frequency.  This data should not be used to define time domain travelling wave models.

Sequence Data

The sequence data section displays relevant line parameters at a specific frequency, where all quantities are sequence quantities.  The sequence data is calculated directly, through the use of a sequence transform matrix T:

 

 

Transformation Matrix

 

Sequence Impedance Matrix (Zsq)

This data represents the system sequence impedance matrix Zsq per-unit length (W/m).  Zsq is derived directly from the series impedance matrix Z and the sequence transform matrix T (both described above) as follows:  

 

 

If all 3-phase circuits in the Z matrix are ideally transposed, then the sequence impedance matrix Zsq will be a diagonal matrix, where the diagonal terms are the equivalent  zero, positive and negative sequence components.  

 

For a single 3-phase, ideally transposed circuit, the sequence impedance matrix appears as follows:

 

 

Sequence Impedance Matrix (Single, Balanced 3-Phase Circuit)

 

In the case of two, ideally transposed 3-phase circuits, the sequence impedance matrix will appear as shown below:

 

 

Sequence Impedance Matrix (Two, Balanced 3-Phase Circuits)

 

Where,

 

Zero sequence impedance of the nth circuit [W/m]

Positive sequence impedance of the nth circuit [W/m]

Negative sequence impedance of the nth circuit [W/m]

Zero sequence mutual impedance [W/m]

 

Sequence data of course, only makes sense when 3-phase circuits are considered.  The format of this matrix depends heavily on the manner in which the individual circuits in the system are transposed (if at all).  For example, if a double-circuit line is transposed so that all 6 conductors are included in the transposition, a sequence matrix will not be provided.

 

The positions of elements in this matrix are dependent on the manner in which the conductors/ground wires have been numbered.  The type of ideal transposition that has been selected will also affect this matrix.

Sequence Admittance Matrix (Ysq)

This data represents the system sequence admittance matrix Ysq per-unit length (S/m).  Ysq is derived directly from the shunt admittance matrix Y and the sequence transform matrix T (both described above) as follows:  

 

 

The same concepts described for the sequence impedance matrix Zsq, apply to Ysq.

 

Load Flow RXB Formatted Data

This data is simply the data given in the Sequence Data section, but reformatted for easy reading.  The following diagram shows from where the data is taken:

 

 

Sequence Admittance and Sequence Impedance Matrices (Two, Balanced 3-Phase Circuits)