OpenIPSL.Electrical.ThreePhase.Branches.MonoTri

Models for hybrid positive-sequence/three-phase devices

Information

This package contains models for hybrid positive-sequence/three-phase devices, and a set of functions used to calculate three-phase impedance matrices.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
Line_MT	Transmission Line modeled as a PI element with a hybrid interface positive-sequence/three-phase
Transformer_MT	Transformer modeled in a PI element with a hybrid interface positive-sequence/three-phase
MonoTriFcn	Set of functions used in hybrid devices when finite Norton equivalent impedances are used
TransformerFcn	Set of functions used to calculate hybrid positive-sequence/three-phase impedance matrices for transformers
LineFcn	Set of functions used to calculate hybrid positive-sequence/three-phase impedance matrices for lines

OpenIPSL.Electrical.ThreePhase.Branches.MonoTri.Line_MT

Transmission Line modeled as a PI element with a hybrid interface positive-sequence/three-phase

Information

This model was design to represent a hybrid positive-sequence/three-phase power line.

The user should input the series conductance and susceptance, and half shunt susceptance (line charging). All in matrix form, since this model can be used to represent unbalanced lines. Series conductance (Gser) matrix is considered to have the following structure:

[Gseraa, Gserab, Gserac;

Gserab, Gserbb, Gserbc;

Gserac, Gserbc, Gsercc]

Series susceptance (Bser) matrix is considered to have the following structure:

[Bseraa, Bserab, Bserac;

Bserab, Bserbb, Bserbc;

Bserac, Bserbc, Bsercc]

The series admittance matrix is Yser = Gser+jBser. Each of the two shunt susceptance (Bsht) matrices is considered to have the following structure:

[Bshtaa, Bshtab, Bshtac;

Bshtab, Bshtbb, Bshtbc;

Bshtac, Bshtbc, Bshtcc]

In addition to that, the user should also state if the hybrid interface should be calculated in an approximate or exact way. If the exact way is selected, the user should also input Norton equivalent admittances for positive, negative and zero sequences calculated in the point of interconnection of the hybrid device. If approximate model is selected, these admittances are set to be zero. Based on the set of parameters selected by the user, the pi-equivalent impedance matrices are calculated and the line equation is assembled.

The positive-sequence system is connected using pin p, while three-phase system is connected using pins A, B, and C

Extends from Branches.BaseClasses.baseLine (Partial base power line model).

Parameters

Name	Description
Power flow data
S	Nominal Power [V.A]
f	System Frequency [Hz]
Selection of model
ModelType	0- Assuming that the negative and zero norton admittances are infinite (Approximation), 1- Considering that the negative and zero norton admittances finite values;
Parameters for an 'abc'-Model
Gseraa	Element (1,1) in series conductance matrix [1]
Bseraa	Element (1,1) in series susceptance matrix [1]
Gserab	Element (1,2) in series conductance matrix [1]
Bserab	Element (1,2) in series susceptance matrix [1]
Gserac	Element (1,3) in series conductance matrix [1]
Bserac	Element (1,3) in series susceptance matrix [1]
Gserbb	Element (2,2) in series conductance matrix [1]
Bserbb	Element (2,2) in series susceptance matrix [1]
Gserbc	Element (2,3) in series conductance matrix [1]
Bserbc	Element (2,3) in series susceptance matrix [1]
Gsercc	Element (3,3) in series conductance matrix [1]
Bsercc	Element (3,3) in series susceptance matrix [1]
Bshtaa	Element (1,1) in shunt half susceptance matrix [1]
Bshtab	Element (1,2) in shunt half susceptance matrix [1]
Bshtac	Element (1,3) in shunt half susceptance matrix [1]
Bshtbb	Element (2,2) in shunt half susceptance matrix [1]
Bshtbc	Element (2,3) in shunt half susceptance matrix [1]
Bshtcc	Element (3,3) in shunt half susceptance matrix [1]
Norton equivalent admittances in terminal K - Considering the negative and zero norton admittances have finite values
G_0	Zero-sequence Norton equivalent conductance [1]
B_0	Zero-sequence Norton equivalent susceptance [1]
G_1	Positive-sequence Norton equivalent conductance [1]
B_1	Positive-sequence Norton equivalent susceptance [1]
G_2	Negative-sequence Norton equivalent conductance [1]
B_2	Negative-sequence Norton equivalent susceptance [1]

Connectors

Name	Description
p
A
B
C

OpenIPSL.Electrical.ThreePhase.Branches.MonoTri.Transformer_MT

Transformer modeled in a PI element with a hybrid interface positive-sequence/three-phase

Information

This model was design to represent a hybrid positive-sequence/three-phase two-winding transformer.

The user should input the copper resistance R and leakage reactance X in per unit values. The user should also input the tap value, which is the relation between primary and secondary voltage levels, but in per unit. The user should select the transformer three-phase connection and, in addition to that, the user should also state if the hybrid interface should be calculated in an approximate or exact way. If the exact way is selected, the user should also input Norton equivalent admittances for positive, negative and zero sequences calculated at the point of interconnection of the hybrid device. If approximate model is selected, these admittances are set to be zero. Based on the set of parameters selected by the user, the pi-equivalent impedance matrices are calculated and the transformer equation is assembled. The transformer does not take into account excitation branch, since it is often neglected in transient-stability studies.

Primary side, modeled as positive-sequence equivalent, is represented by pin p. Secondary side, modeled as full three-phase system, is represented by pins A, B, and C

Parameters

Name	Description
Connection	0 Yg-Yg; 1 D-D; 2 Y-Y; 3 D-Yg; 4 Yg-D; 5 D-Y; 6 Y-D; 7 Y-Yg; 8 Yg-Y;
Selection of model
ModelType	0- Assuming that the negative and zero norton admittances are infinite (Approximation), 1- Considering that the negative and zero norton admittances finite values;
Transformer parameters
tap	Nominal tap ratio (Vs/Vp)
X	Leakage reactance [1]
R	Windings copper resistance [1]
Norton equivalent admittances in terminal K - Considering that the negative and zero norton admittances have finite values
G_0	Zero-sequence Norton equivalent conductance [1]
B_0	Zero-sequence Norton equivalent susceptance [1]
G_1	Positive-sequence Norton equivalent conductance [1]
B_1	Positive-sequence Norton equivalent susceptance [1]
G_2	Negative-sequence Norton equivalent conductance [1]
B_2	Negative-sequence Norton equivalent susceptance [1]

Connectors

Name	Description
p
A
B
C

Automatically generated Mon Oct 10 14:35:56 2022.