modelTwoPortMatrixRLC

PI model of a line parameterized with impedance and admittance matrices

Extends from Buildings.Electrical.AC.ThreePhasesUnbalanced.Interfaces.TwoPort (Partial model interface for a two port component without neutral cable).

Information

RLC line model (π-model) that connects two AC three-phase unbalanced interfaces. This model can be used to represent a cable in a three-phase unbalanced AC system.

image

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 that includes the capacitive effects of the lines.

Parameters

TypeNameDefaultDescription
Modelica.Units.SI.Impedance[2]Z11Element [1,1] of impedance matrix
Modelica.Units.SI.Impedance[2]Z12Element [1,2] of impedance matrix
Modelica.Units.SI.Impedance[2]Z13Element [1,3] of impedance matrix
Modelica.Units.SI.Impedance[2]Z22Element [2,2] of impedance matrix
Modelica.Units.SI.Impedance[2]Z23Element [2,3] of impedance matrix
Modelica.Units.SI.Impedance[2]Z33Element [3,3] of impedance matrix
Modelica.Units.SI.ImpedanceZ21Z12Element [2,1] of impedance matrix
Modelica.Units.SI.ImpedanceZ31Z13Element [3,1] of impedance matrix
Modelica.Units.SI.ImpedanceZ32Z23Element [3,1] of impedance matrix
Modelica.Units.SI.AdmittanceB11Element [1,1] of admittance matrix
Modelica.Units.SI.AdmittanceB12Element [1,2] of admittance matrix
Modelica.Units.SI.AdmittanceB13Element [1,3] of admittance matrix
Modelica.Units.SI.AdmittanceB22Element [2,2] of admittance matrix
Modelica.Units.SI.AdmittanceB23Element [2,3] of admittance matrix
Modelica.Units.SI.AdmittanceB33Element [3,3] of admittance matrix
Modelica.Units.SI.AdmittanceB21B12Element [2,1] of admittance matrix
Modelica.Units.SI.AdmittanceB31B13Element [3,1] of admittance matrix
Modelica.Units.SI.AdmittanceB32B23Element [3,2] of admittance matrix
Nominal conditions
Modelica.Units.SI.VoltageV_nominalNominal voltage (V_nominal >= 0)

Connectors

TypeNameDefaultDescription
Terminal_pterminal_p (from TwoPort)Electric terminal side p
Terminal_nterminal_n (from TwoPort)Electric terminal side n

Components

TypeNameDefaultDescription
Modelica.Units.SI.Voltage[2]v1_nterminal_n.phase[1].vVoltage in line 1 at connector N
Modelica.Units.SI.Voltage[2]v2_nterminal_n.phase[2].vVoltage in line 2 at connector N
Modelica.Units.SI.Voltage[2]v3_nterminal_n.phase[3].vVoltage in line 3 at connector N
Modelica.Units.SI.Voltage[2]v1_pterminal_p.phase[1].vVoltage in line 1 at connector P
Modelica.Units.SI.Voltage[2]v2_pterminal_p.phase[2].vVoltage in line 2 at connector P
Modelica.Units.SI.Voltage[2]v3_pterminal_p.phase[3].vVoltage in line 3 at connector P

Contents

NameDescription
productAC1pprotectedProduct 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.
  • October 6, 2014, by Marco Bonvini:
    Revised documentation and model.
  • June 5, 2014, by Marco Bonvini:
    Added model.