Description
The PI line model is mainly used for short transmission lines. The equivalent circuit is shown below.
It is assumed that the capacitance on both sides are identical. The RL branches are also coupled. The parameters for the 9-phase PI lines are the same as for those for 3-phase PI lines, except that the dimension of the R, L and C matrices representing the impedance and admittance of the conductors is 9x9, instead of 3x3. The 9-phase PI model represents three 3-phase transmission lines in parallel. The neutral coupling between line circuits (mutual impedance) is represented only in zero sequence.
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Mask and Parameters
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 calculation | The location (path) of the EMTP file (pun file) containing the line parameters. However, The EMTP “.pun” format is not allowed with this model | File = {'path.name'} | ||||
| Type | The line data can be taken using Matrix or Sequence parameters | Matrix/Sequence = { 0, 1} | ||||
| Matrix {0} | Untransposed line. The data is filled in the matrices | |||||
| Sequence {1} | Transposed line. The data is filled in the sequences | |||||
| Line Length | The length of the line | km | length = {0, 1e64} | |||
| Base power (perPhase) | Base value for PU conversion | MVA per phase | pBase = { [1, 1e64] } | |||
| Base voltage (rmsLN) | Base value for PU conversion | kV rms LN | vBase = { [1, 1e64] } | |||
| Base frequecy | Base value for PU conversion | Hz | fBase = { [1, 1e64] } | |||
Matrix Parameters
| Name | Description | Unit | Variable = {Possible Values} | |||
|---|---|---|---|---|---|---|
| Resistance - R | Resistance matrix (9x9) | Ω/km | R = {'-1e64, 1e64'} | |||
| Inductance - L | Inductance matrix (9x9) | H/km | L = {'-1e64, 1e64'} | |||
| Capacitance - C | Capacitance matrix (9x9) | F/km | C = {'-1e64, 1e64'} | |||
Sequence Parameters
| Name | Description | Unit | Variable = {Possible Values} | |||
|---|---|---|---|---|---|---|
| Self impedance - Line 1 | R | Resistance value for Zero and Positive sequences (Line 1) | Ω/km | Rself1 = {'-1e64, 1e64'} | ||
| L | Inductance value for Zero and Positive sequences (Line 1) | H/km | Lself1 = {'-1e64, 1e64'} | |||
| C | Capacitance value for Zero and Positive sequences (Line 1) | F/km | Cself1 = {'-1e64, 1e64'} | |||
| Self impedance - Line 2 | R | Resistance value for Zero and Positive sequences (Line 2) | Ω/km | Rself2 = {'-1e64, 1e64'} | ||
| L | Inductance value for Zero and Positive sequences (Line 2) | H/km | Lself2 = {'-1e64, 1e64'} | |||
| C | Capacitance value for Zero and Positive sequences (Line 2) | F/km | Cself2 = {'-1e64, 1e64'} | |||
| Self impedance - Line 3 | R | Resistance value for Zero and Positive sequences (Line 3) | Ω/km | Rself3 = {'-1e64, 1e64'} | ||
| L | Inductance value for Zero and Positive sequences (Line 3) | H/km | Lself3 = {'-1e64, 1e64'} | |||
| C | Capacitance value for Zero and Positive sequences (Line 3) | F/km | Cself3 = {'-1e64, 1e64'} | |||
| Mutual impedance lines 1-2 | R | Mutual resistance value between lines 1-2 | Ω/km | Rmut12 = {'-1e64, 1e64'} | ||
| L | Mutual inductance value between lines 1-2 | H/km | Lmut12 = {'-1e64, 1e64'} | |||
| C | Mutual capacitance value between lines 1-2 | F/km | Cmut12 = {'-1e64, 1e64'} | |||
| Mutual impedance lines 1-3 | R | Mutual resistance value between lines 1-3 | Ω/km | Rmut13 = {'-1e64, 1e64'} | ||
| L | Mutual inductance value between lines 1-3 | H/km | Lmut13 = {'-1e64, 1e64'} | |||
| C | Mutual capacitance value between lines 1-3 | F/km | Cmut13 = {'-1e64, 1e64'} | |||
| Mutual impedance lines 2-3 | R | Mutual resistance value between lines 2-3 | Ω/km | Rmut23 = {'-1e64, 1e64'} | ||
| L | Mutual inductance value between lines 2-3 | H/km | Lmut23 = {'-1e64, 1e64'} | |||
| C | Mutual capacitance value between lines 2-3 | F/km | Cmut23 = {'-1e64, 1e64'} | |||
Ports, Inputs, Outputs and Signals Available for Monitoring
Ports
This component supports a 9-phase transmission line
Name | Description |
|---|---|
| net_1_1(a,b,c) | Network connection of phases (a,b,c) of the left (+) side of line 1 |
| net_1_2(a,b,c) | Network connection of phases (a,b,c) of the right side of line 1 |
| net_2_1(a,b,c) | Network connection of phases (a,b,c) of the left (+) side of line 2 |
| net_2_2(a,b,c) | Network connection of phases (a,b,c) of the right side of line 2 |
| net_3_1(a,b,c) | Network connection of phases (a,b,c) of the left (+) side of line 3 |
| net_3_2(a,b,c) | Network connection of phases (a,b,c) of the right side of line 3 |
Inputs
None
Outputs
None
Sensors
None
Calculation of Line Parameters
The EMTP “.pun” format is not allowed with this model. However, the electrical parameters of PI lines can be calculated by using the HyperView Line Tab module in HyperView.
Steps are as follows:
- Load a file into the Line Data GUI or enter the geometrical line parameters; details are found in Line Geometry.
- Select the transposition options
- Run the program
- The electrical parameters are displayed in the Line Data Report.
To transfer the electrical parameters to the PI model, follow these steps:
- Go to the Line Data GUI
- The names of the lines in your network are at the bottom of the page
- To transfer electrical parameters, choose the name of the line and click Apply
- See the parameters in the forms of the line
Since the matrices in this model are large, it is preferable to calculate the line parameters using the HyperView Line Tab module in HyperView. This module allows users to avoid the tedious task of re-transcribing the values and possible resulting errorsGenerator Tab.