modelPiModelComplex_advanced

pi-Modell of a cable for ComplexPowerPort, better numerics

Extends from PiModelComplex (pi-Modell of a cable for ComplexPowerPort).

Information

1. Purpose of model

Advanced line model using two-port equation. Computes losses and voltage drop dependent of typical cable types and specified length. Model includes capacity of utilization.

2. Level of detail, physical effects considered, and physical insight

L3E (defined in the CodingConventions), Quasi-Stationary model of transmission line with concentrated elements. Active- and reactive power (losses) are regarded. Electrical Pi-network.

3. Limits of validity

Quasi-stationary model, model of line with concentrated elements, limited by the wavelength of the 50 Hz oscillation

4. Interfaces

Two ComplexPowerPort for each terminal of the transmission line

5. Nomenclature

I is used for currents

U is used for voltages

6. Governing Equations

Two-Port Equations

7. Remarks for Usage

Use these model when capacity of utilization is needed. But this needs some computation time.

Parameters for the type of line are divided in the three voltage levels

8. Validation

(no remarks)

9. References

[1] M. Schaefer, KIT, URL: https://www.zml.kit.edu/downloads/Elektrische_Energieuebertragung_Leseprobe_Kapitel_2.pdf, 2018

10. Version History

Model created by Jan-Peter Heckel (jan.heckel@tuhh.de) in March 2018

Parameters

TypeNameDefaultDescription
SI.ResistanceR (from PiModelComplex)r*l
SI.ReactanceX (from PiModelComplex)x*l
SI.CapacitanceC (from PiModelComplex)c*l
Modelica.Units.SI.SusceptanceB (from PiModelComplex)2*Modelica.Constants.pi*simCenter.f_n*C
Fundamental Definitions
BooleanactivateSwitch (from PartialTwoPortAdmittanceComplex)false
IntegerChooseVoltageLevel (from PiModelComplex)1Choose Voltage Level
Realp (from PiModelComplex)1Number of parallel lines
BooleancalculateOverloadtruechoose if boolean variable 'overload' is calculated'
cable properties
TransiEnt.Basics.Units.SpecificResistancer_custom (from PiModelComplex)0.06e-3Resistance load per unit length
TransiEnt.Basics.Units.SpecificReactancex_custom (from PiModelComplex)0.301e-3Reactance load per unit length
TransiEnt.Basics.Units.SpecificCapacitancec_custom (from PiModelComplex)0.0125e-9Capacitance load per unit length
SI.Currenti_r_custom (from PiModelComplex)1290Rated current
TransiEnt.Components.Electrical.Grid.Characteristics.LVCabletypesLVCableType (from PiModelComplex)TransiEnt.Components.Electrical.Grid.Characteristics.LVCabletypes.K1Type of low voltage cable
TransiEnt.Components.Electrical.Grid.Characteristics.MVCabletypesMVCableType (from PiModelComplex)TransiEnt.Components.Electrical.Grid.Characteristics.MVCabletypes.L1Type of Medium voltage cable
TransiEnt.Components.Electrical.Grid.Characteristics.HVCabletypesHVCableType (from PiModelComplex)TransiEnt.Components.Electrical.Grid.Characteristics.HVCabletypes.L1Type of high voltage cable
SI.Lengthl (from PiModelComplex)1Cable Length

Connectors

TypeNameDefaultDescription
TransiEnt.Basics.Interfaces.Electrical.ComplexPowerPortepp_p (from PartialTwoPortAdmittanceComplex)
TransiEnt.Basics.Interfaces.Electrical.ComplexPowerPortepp_n (from PartialTwoPortAdmittanceComplex)
Modelica.Blocks.Interfaces.BooleanInputswitched_input (from PartialTwoPortAdmittanceComplex)

Components

TypeNameDefaultDescription
TransiEnt.SimCentersimCenter (from PartialTwoPortAdmittanceComplex)
SI.ComplexPowerS_p (from PartialTwoPortAdmittanceComplex)
SI.ComplexPowerS_n (from PartialTwoPortAdmittanceComplex)
SI.ComplexVoltagev_p (from PartialTwoPortAdmittanceComplex)
SI.ComplexVoltagev_n (from PartialTwoPortAdmittanceComplex)
SI.ComplexCurrenti_p (from PartialTwoPortAdmittanceComplex)
SI.ComplexCurrenti_n (from PartialTwoPortAdmittanceComplex)
SI.ActivePowerP (from PartialTwoPortAdmittanceComplex)
SI.ReactivePowerQ (from PartialTwoPortAdmittanceComplex)
Booleanoverload
SI.CurrentI_1_mag
SI.CurrentI_2_mag
SI.CurrentI_g_mag
Realusage
Modelica.Units.SI.VoltageU_1_absModelica.ComplexMath.abs(v_p)
Modelica.Units.SI.VoltageU_2_absModelica.ComplexMath.abs(v_n)