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Introduction
The multiphase line can represent either a 1, 2, or 3-phase line. The impedance parameters of these lines can be presented as positive and zero sequence data or with full matrices. Note that to model the 1 or 2-phase line, only the full matrix presentation is acceptable. Thus, there are four types of multiphase line components in ePHASORSIM native library.
Single Phase Line
Two Phase Line
Three Phase Line with Full Data
Three Phase Line with Sequential Data
Single Phase Line
Parameters
Symbol | Description | Unit |
|---|---|---|
ID | Line name | a unique name |
Status | Connect/Disconnect status | Initial value 1 (0 for disconnected) |
Length | Length of the line (non-zero) | Any unit |
From1 | First sending bus | a unique name |
To1 | First receiving bus | |
r11 (Ohm/length_unit) | see (*) | ohm/length_unit |
x11 (Ohm/length_unit) | see (*) | |
b11 (uS/length_unit) | see (**) | uS/length_unit |
Two Phase Line
Parameters
Symbol | Description | Unit |
|---|---|---|
ID | Line name | a unique name |
Status | Connect/Disconnect status | Initial value 1 (0 for disconnected) |
Length | Length of the line (non-zero) | Any unit |
From1 | First sending bus | a unique name |
From2 | Second sending bus | |
To1 | First receiving bus | |
To2 | Second receiving bus | |
r11 (Ohm/length_unit) | see (*) | ohm/length_unit |
x11 (Ohm/length_unit) | see (*) | |
r21 (Ohm/length_unit) | see (*) | |
x21 (Ohm/length_unit) | see (*) | |
r22 (Ohm/length_unit) | see (*) | |
x22 (Ohm/length_unit) | see (*) | |
b11 (uS/length_unit) | see (**) | uS/length_unit |
b21 (uS/length_unit) | see (**) | |
b22 (uS/length_unit) | see (**) |
Three Phase Line With Full Data
Parameters
Symbol | Description | Unit |
|---|---|---|
ID | Line name | a unique name |
Status | Connect/Disconnect status | Initial value 1 (0 for disconnected) |
Length | Length of the line (non-zero) | Any unit |
From1 | First sending bus | a unique name |
From2 | Second sending bus | |
From3 | Third sending bus | |
To1 | First receiving bus | |
To2 | Second receiving bus | |
To3 | Third receiving bus | |
r11 (Ohm/length_unit) | see (*) | ohm/length_unit |
x11 (Ohm/length_unit) | see (*) | |
r21 (Ohm/length_unit) | see (*) | |
x21 (Ohm/length_unit) | see (*) | |
r22 (Ohm/length_unit) | see (*) | |
x22 (Ohm/length_unit) | see (*) | |
r31 (Ohm/length_unit) | see (*) | |
x31 (Ohm/length_unit) | see (*) | |
r32 (Ohm/length_unit) | see (*) | |
x32 (Ohm/length_unit) | see (*) | |
r33 (Ohm/length_unit) | see (*) | |
x33 (Ohm/length_unit) | see (*) | |
b11 (uS/length_unit) | see (**) | uS/length_unit |
b21 (uS/length_unit) | see (**) | |
b22 (uS/length_unit) | see (**) | |
b31 (uS/length_unit) | see (**) | |
b32 (uS/length_unit) | see (**) | |
b33 (uS/length_unit) | see (**) |
Three Phase Line With Sequential Data
Parameters
Symbol | Description | Unit |
|---|---|---|
ID | Line name | a unique name |
Status | Connect/Disconnect status | Initial value 1 (0 for disconnected) |
Length | Length of the line (non-zero) | Any unit |
From1 | First sending bus | a unique name |
From2 | Second sending bus | |
From3 | Third sending bus | |
To1 | First receiving bus | |
To2 | Second receiving bus | |
To3 | Third receiving bus | |
R0 (Ohm/length_unit) | Zero-sequence resistance, see (x) | ohm/length_unit |
X0 (Ohm/length_unit) | Zero-sequence reactance, see (x) | |
R1 (Ohm/length_unit) | Positive-sequence resistance, see (x) | |
X1 (Ohm/length_unit) | Positive-sequence reactance, see (x) | |
B0 (uS/length_unit) | Zero-sequence capacitive charge, see (x) | uS/length_unit |
B1 (uS/length_unit) | Positive-sequence capacitive charge, see (x) | uS/length_unit |
(x) If the impedance format is chosen to be sequence data, then Z0 and Z1 must be non-zero.
(*) Configuration of Z matrix (R + j X)
| Mathblock | ||
|---|---|---|
| ||
\begin{bmatrix} r_{11}+jx_{11} & ? & ? \\ r_{21}+jx_{21} & r_{22}+ix_{22} & ? \\ r_{31}+jx_{31} & r_32+jx_{32} & r_{33}+jx_{33} \\ \end{bmatrix} |
(**) Configuration of B matrix
| Mathblock | ||
|---|---|---|
| ||
\begin{bmatrix} jb_{11} & ? & ? \\ jb_{21} & jb_{22} & ? \\ jb_{31} & jb_{32} & jb_{33} \\ \end{bmatrix} |
Available I/O Pins
No | Pin Description | Pin Type | Value/Unit | Instruction |
|---|---|---|---|---|
1 | Set/Get service status | I/O | 1: In-service 0: Out-of-service | lineID/status |
2 | Get sending end current magnitude of wire j | O | A (RMS) | lineID/ImagFromj where j is 1, 2 or 3 |
3 | Get receiving end current magnitude of wire j | O | A (RMS) | lineID/ImagToj where j is 1, 2 or 3 |
4 | Get sending end current angle of wire j | O | Degree | lineID/IangFromj where j is 1, 2 or 3 |
5 | Get receiving end current angle of wire j | O | Degree | lineID/IangToj where j is 1, 2 or 3 |
6 | Get sending end active and reactive power of wire j | O | kW kVAr | lineID/PFromj lineID/QFromj where j is 1, 2 or 3 |
7 | Get receiving end active and reactive power of wire j | O | kW kVAr | lineID/PToj lineID/QToj where j is 1, 2 or 3 |
8 | Get active and reactive power loss of wire j | O | kW kVAr | lineID/PLj lineID/QLj where j is 1, 2 or 3 |
Example
See the Line
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page in phasor08_IEEE13.
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xlsx file in
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ePHASORSIM example phasor08.
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