modelTwoPortMatrixRLC_N
PI model of a line parameterized with impedance and admittance matrices and neutral line
Extends from Buildings.Electrical.AC.ThreePhasesUnbalanced.Interfaces.TwoPort_N (Partial model interface for a two port component with neutral cable).
Information
RLC line model (π-model) that connects two AC three-phase unbalanced interfaces and neutral line. This model can be used to represent a cable in a three-phase unbalanced AC system.
The model is parameterized with an impedance matrix Z and an admittance matrix B. The impedance matrix is symmetric, and therefore only the upper triangular part of the matrix needs to be defined.
This model is a more detailed version of the model Buildings.Electrical.AC.ThreePhasesUnbalanced.Lines.TwoPortMatrixRL_N that includes the capacitive effects of the lines.
Note
The fourth line is the neutral one.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Units.SI.Impedance[2] | Z11 | Element [1,1] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z12 | Element [1,2] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z13 | Element [1,3] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z14 | Element [1,4] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z22 | Element [2,2] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z23 | Element [2,3] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z24 | Element [2,4] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z33 | Element [3,3] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z34 | Element [3,4] of impedance matrix | |
| Modelica.Units.SI.Impedance[2] | Z44 | Element [4,4] of impedance matrix | |
| Modelica.Units.SI.Impedance | Z21 | Z12 | Element [2,1] of impedance matrix |
| Modelica.Units.SI.Impedance | Z31 | Z13 | Element [3,1] of impedance matrix |
| Modelica.Units.SI.Impedance | Z32 | Z23 | Element [3,1] of impedance matrix |
| Modelica.Units.SI.Impedance | Z41 | Z14 | Element [4,1] of impedance matrix |
| Modelica.Units.SI.Impedance | Z42 | Z24 | Element [4,2] of impedance matrix |
| Modelica.Units.SI.Impedance | Z43 | Z34 | Element [4,3] of impedance matrix |
| Modelica.Units.SI.Admittance | B11 | Element [1,1] of admittance matrix | |
| Modelica.Units.SI.Admittance | B12 | Element [1,2] of admittance matrix | |
| Modelica.Units.SI.Admittance | B13 | Element [1,3] of admittance matrix | |
| Modelica.Units.SI.Admittance | B14 | Element [1,4] of admittance matrix | |
| Modelica.Units.SI.Admittance | B22 | Element [2,2] of admittance matrix | |
| Modelica.Units.SI.Admittance | B23 | Element [2,3] of admittance matrix | |
| Modelica.Units.SI.Admittance | B24 | Element [2,4] of admittance matrix | |
| Modelica.Units.SI.Admittance | B33 | Element [3,3] of admittance matrix | |
| Modelica.Units.SI.Admittance | B34 | Element [3,4] of admittance matrix | |
| Modelica.Units.SI.Admittance | B44 | Element [4,4] of admittance matrix | |
| Modelica.Units.SI.Admittance | B21 | B12 | Element [2,1] of admittance matrix |
| Modelica.Units.SI.Admittance | B31 | B13 | Element [3,1] of admittance matrix |
| Modelica.Units.SI.Admittance | B32 | B23 | Element [3,2] of admittance matrix |
| Modelica.Units.SI.Admittance | B41 | B14 | Element [4,1] of admittance matrix |
| Modelica.Units.SI.Admittance | B42 | B24 | Element [4,2] of admittance matrix |
| Modelica.Units.SI.Admittance | B43 | B34 | Element [4,3] of admittance matrix |
| Nominal conditions | |||
| Modelica.Units.SI.Voltage | V_nominal | Nominal voltage (V_nominal >= 0) | |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Terminal4_p | terminal_p (from TwoPort_N) | Electric terminal side p | |
| Terminal4_n | terminal_n (from TwoPort_N) | Electric terminal side n |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Units.SI.Voltage[2] | v1_n | terminal_n.phase[1].v | Voltage in line 1 at connector N |
| Modelica.Units.SI.Voltage[2] | v2_n | terminal_n.phase[2].v | Voltage in line 2 at connector N |
| Modelica.Units.SI.Voltage[2] | v3_n | terminal_n.phase[3].v | Voltage in line 3 at connector N |
| Modelica.Units.SI.Voltage[2] | v4_n | terminal_n.phase[4].v | Voltage in line 4 (neutral) at connector N |
| Modelica.Units.SI.Voltage[2] | v1_p | terminal_p.phase[1].v | Voltage in line 1 at connector P |
| Modelica.Units.SI.Voltage[2] | v2_p | terminal_p.phase[2].v | Voltage in line 2 at connector P |
| Modelica.Units.SI.Voltage[2] | v3_p | terminal_p.phase[3].v | Voltage in line 3 at connector P |
| Modelica.Units.SI.Voltage[2] | v4_p | terminal_p.phase[4].v | Voltage in line 4 (neutral) at connector P |
Contents
| Name | Description |
|---|---|
 productAC1pprotected | Product between complex quantities |
Revisions
-
April 5, 2023, by Michael Wetter:
Set nominal attribute for voltage at terminal. -
November 28, 2016, by Michael Wetter:
Made current and voltage public to allow setting start values.
This is for #584. -
November 28, 2016, by Michael Wetter:
Removed zero start value for currentsi1,i2andi3. Setting a zero start value led Dymola 2017 on Linux to find a different solution for Buildings.Electrical.AC.ThreePhasesUnbalanced.Validation.IEEETests.Test4NodesFeeder.BalancedStepDown.YD. Also, the current is typically non-zero and zero is anyway the default start value, hence there is no need to set it.
This is for #584. -
January 14, 2015, by Marco Bonvini:
Created model and documentation.