modelPiModelComplex

pi-Modell of a cable for ComplexPowerPort

Extends from TransiEnt.Components.Electrical.Grid.Base.PartialTwoPortAdmittanceComplex (Base Class of two port models with admittance parameters for lines and transformers).

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.

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

Boolean input for switching

5. Nomenclature

U is uses for voltages

P is used for active powers

S is used for apparent powers

I is used for electric currents

Q is used for reactive powers

6. Governing Equations

Two-Port Equations

7. Remarks for Usage

Use these model in normal cases

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

Model made more modular by Jan-Peter Heckel (jan.heckel@tuhh.de) in May 2019

Parameters

TypeNameDefaultDescription
SI.ResistanceRr*l
SI.ReactanceXx*l
SI.CapacitanceCc*l
Modelica.Units.SI.SusceptanceB2*Modelica.Constants.pi*simCenter.f_n*C
Fundamental Definitions
BooleanactivateSwitch (from PartialTwoPortAdmittanceComplex)false
IntegerChooseVoltageLevel1Choose Voltage Level
Realp1Number of parallel lines
cable properties
TransiEnt.Basics.Units.SpecificResistancer_custom0.06e-3Resistance load per unit length
TransiEnt.Basics.Units.SpecificReactancex_custom0.301e-3Reactance load per unit length
TransiEnt.Basics.Units.SpecificCapacitancec_custom0.0125e-9Capacitance load per unit length
SI.Currenti_r_custom1290Rated current
TransiEnt.Components.Electrical.Grid.Characteristics.LVCabletypesLVCableTypeTransiEnt.Components.Electrical.Grid.Characteristics.LVCabletypes.K1Type of low voltage cable
TransiEnt.Components.Electrical.Grid.Characteristics.MVCabletypesMVCableTypeTransiEnt.Components.Electrical.Grid.Characteristics.MVCabletypes.L1Type of Medium voltage cable
TransiEnt.Components.Electrical.Grid.Characteristics.HVCabletypesHVCableTypeTransiEnt.Components.Electrical.Grid.Characteristics.HVCabletypes.L1Type of high voltage cable
SI.Lengthl1Cable 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)