Description
The FD line model is used to represent transmission lines with frequency-dependent distributed parameters. The equivalent circuit is shown below.
The details regarding the model implementation can be found in:
J. R. Marti, "Accurate modelling of frequency-dependent transmission lines in electromagnetic transient simulations," IEEE Trans. Power App. Syst., vol. PAS-101, pp. 147-55, 01/1982.
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Mask and Parameters
The calculation of the electrical parameters of a line from its geometrical parameters can be done with the Line Data auxiliary module.
The resulting EMTP output file (*.pun) contains the electrical line parameters required by HYPERSIM.
The user may choose to manually complete the data form, however, it is preferable to provide the parameters of an FD line by loading the pun file in its data form.
General Parameters
| Name | Description | Unit | Variable = {Possible Values} | |
|---|---|---|---|---|
| Description | Use this field to add information about the component | Description = {'string'} | ||
| EMTP (.pun) file for line parameters | The location (path) of the EMTP file (pun file) containing the line parameters | File = {'path.name'} | ||
| Transformation matrix | Transformation matrix (6 x 6) | Ti = { [-1e64, 1e64] } | ||
| Line Length | The length of the line | km | length = {0, 1e64} | |
| Number of poles for the weighting function | Number of poles for each phase (mode) of the propagation function | nA = { [0, 1, ..., 39, 40] } | ||
| Number of poles for the impedance function | Number of poles for each phase (mode) of the characteristic impedance function | nZ = { [0, 1, ..., 39, 40] } | ||
| First coefficient for characteristic impedance | First coefficient for each phase (mode) of the characteristic impedance, i.e., the resistance value for infinite frequency | Ω | Ro = { [-1e64, 1e64] } | |
| Propagation delay | Propagation delay for each phase | s | To = { [-1e64, 1e64] } | |
Impedance Parameters
| Name | Description | Unit | Variable = {Possible Values} | |
|---|---|---|---|---|
| Impedance function coefficients | Residues of the impedance function for each phase | KZ = { [-1e64, 1e64] } | ||
| Impedance function poles | Poles of the impedance function for each phase | PZ = { [-1e64, 1e64] } | ||
Weighting Parameters
| Name | Description | Unit | Variable = {Possible Values} | |
|---|---|---|---|---|
| Weighting function coefficients | Residues of the weighting (propagation) function for each phase | KA = { [-1e64, 1e64] } | ||
| Weighting function poles | Poles of the weighting (propagation) function for each phase | PA = { [-1e64, 1e64] } | ||
Ports, Inputs, Outputs and Signals Available for Monitoring
Ports
This component supports a 6-phase transmission line
| Name | Description |
|---|---|
| net_1_1 | Network connection of phase 1 left (+) side |
| net_1_2 | Network connection of phase 1 right side |
| net_2_1 | Network connection of phase 2 left (+) side |
| net_2_2 | Network connection of phase 2 right side |
| net_3_1 | Network connection of phase 3 left (+) side |
| net_3_2 | Network connection of phase 3 right side |
| net_4_1 | Network connection of phase 4 left (+) side |
| net_4_2 | Network connection of phase 4 right side |
| net_5_1 | Network connection of phase 5 left (+) side |
| net_5_2 | Network connection of phase 5 right side |
| net_6_1 | Network connection of phase 6 left (+) side |
| net_6_2 | Network connection of phase 6 right side |
Inputs
Outputs
None
Sensors
At acquisition, the signals available by the sensors are:
| Name | Description | Unit |
|---|---|---|
| V_Node(1,2,3,4,5,6)_(1,2) | Bus voltage for each phase (1,2,3,4,5,6) | V |
| I(1,2,3,4,5,6)_Node(1,2,3,4,5,6)_(1,2) | Current for each phase (1,2,3,4,5,6) | A |
The (1,2) in the previous table indicates the name of the bus at each end of the line (1 for left (+) side and 2 for the right side)
The Data of a 6-phase FD Model
The following figure shows the geometrical data of a double circuit transmission line as an example to simulate a 6-phase FD model.
The calculation of the electrical parameters can be done with the Line Data auxiliary module.
The EMTP-type output file for the calculation of the parameters for the FD line model:
A portion of the pun file generated with the Line Data auxiliary module:
