Models for three-phase power lines

This package contains models for three-phase power lines in different configurations.

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

Name | Description |
---|---|

Line_1Ph | Single-phase line modeled as a PI-equivalent device |

Line_2Ph | Two-phase line modeled as a PI-equivalent device |

Line_3Ph | Three-phase line modeled as a PI-equivalent device |

Single-phase line modeled as a PI-equivalent device

This model was design to represent single-phase power line, modeled as a pi-element.

The user should input the series conductance and susceptance, and half shunt susceptance (line charging).

Based on this set of parameters, the pi-equivalent impedance matrices are calculated and the power line equation is assembled.

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

Name | Description |
---|---|

Power flow data | |

S | Nominal Power [V.A] |

f | System Frequency [Hz] |

Gser | Series conductance [1] |

Bser | Series susceptance [1] |

Bsht | Shunt half susceptance [1] |

Name | Description |
---|---|

Ain | |

Aout |

Two-phase line modeled as a PI-equivalent device

This model was design to represent two-phase power line, modeled as a pi-element.

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

**[Gseraa**, **Gserab**;

** Gserab**, **Gserbb**]

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

**[Bseraa**, **Bserab**;

** Bserab**, **Bserbb**]

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**;

** Bshtab**, **Bshtbb**]

Based on this set of parameters, the pi-equivalent impedance matrices are calculated and the power line equation is assembled.

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

Name | Description |
---|---|

Power flow data | |

S | Nominal Power [V.A] |

f | System Frequency [Hz] |

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] |

Gserbb | Element (2,2) in series conductance matrix [1] |

Bserbb | Element (2,2) 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] |

Bshtbb | Element (2,2) in shunt half susceptance matrix [1] |

Name | Description |
---|---|

Ain | |

Bin | |

Aout | |

Bout |

Three-phase line modeled as a PI-equivalent device

This model was design to represent three-phase power line, modeled as a pi-element.

The user should input the series conductance and susceptance, and half shunt susceptance (line charging). All in matrix form, since the model allows the representation of 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**]

Based on this set of parameters, the pi-equivalent impedance matrices are calculated and the power line equation is assembled.

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

Name | Description |
---|---|

Power flow data | |

S | Nominal Power [V.A] |

f | System Frequency [Hz] |

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] |

Name | Description |
---|---|

Ain | |

Bin | |

Cin | |

Aout | |

Bout | |

Cout |