Flux tubes with fixed shape during simulation and linear or non-linear material characteristics

This package provides different reluctance models, based on different geometric data.

Extends from `Modelica.Icons.VariantsPackage`

(Icon for package containing variants).

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

`Cuboid` | Flux tube with rectangular cross-section; fixed shape; linear or non-linear material characteristics |

`GenericFluxTube` | Flux tube with fixed cross-section and length; linear or non-linear material characteristics |

`HollowCylinderAxialFlux` | (Hollow) cylinder with axial flux; fixed shape; linear or non-linear material characteristics |

`HollowCylinderRadialFlux` | Hollow cylinder with radial flux; fixed shape; linear or non-linear material characteristics |

Flux tube with fixed cross-section and length; linear or non-linear material characteristics

The generic flux tube models the reluctance with constant
`area`

of cross section, and length, `l`

the magnetic reluctance by:

- ,

Extends from `Modelica.Magnetic.QuasiStatic.FluxTubes.Interfaces.PartialFixedShape`

(Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Type | Name | Default | Description |
---|---|---|---|

`RelativePermeability` | `mu_rConst` | `1` | Constant relative permeability |

`Length` | `l` | `0.01` | Length in direction of flux |

`CrossSection` | `area` | `1e-4` | Area of cross section |

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

`PositiveMagneticPort` | `port_p` | Positive quasi-static magnetic port |

`NegativeMagneticPort` | `port_n` | Negative quasi-static magnetic port |

Flux tube with rectangular cross-section; fixed shape; linear or non-linear material characteristics

The cuboid models the reluctance with rectangular dimensions `a`

and `b`

, and length, `l`

the magnetic reluctance by:

The area of cross section is determined by:

Extends from `Modelica.Magnetic.QuasiStatic.FluxTubes.Interfaces.PartialFixedShape`

(Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Type | Name | Default | Description |
---|---|---|---|

`RelativePermeability` | `mu_rConst` | `1` | Constant relative permeability |

`Length` | `l` | `0.01` | Length in direction of flux |

`Length` | `a` | `0.01` | Width of rectangular cross-section |

`Length` | `b` | `0.01` | Height of rectangular cross-section |

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

`PositiveMagneticPort` | `port_p` | Positive quasi-static magnetic port |

`NegativeMagneticPort` | `port_n` | Negative quasi-static magnetic port |

(Hollow) cylinder with axial flux; fixed shape; linear or non-linear material characteristics

The axial cylinder models is characterized by the outer diameter, , the inner diameter, , length, . The magnetic reluctance is determined by:

The area of cross section yields:

A hollow cylinder is depicted in the above figure left for . A solid cylindric flux tube an be considered by setting the inner radius, , equal to zero.

A circular sector of the area of cross section with central angle is depicted in the above figure right.

Extends from `Modelica.Magnetic.QuasiStatic.FluxTubes.Interfaces.PartialFixedShape`

(Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Type | Name | Default | Description |
---|---|---|---|

`RelativePermeability` | `mu_rConst` | `1` | Constant relative permeability |

`Length` | `l` | `0.01` | Axial length (in direction of flux) |

`Radius` | `r_i` | `0` | Inner radius of hollow cylinder (zero for cylinder) |

`Radius` | `r_o` | `0.01` | Outer radius of (hollow) cylinder |

`Angle` | `alpha` | `2 * Modelica.Constants.pi` | Central angle |

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

`PositiveMagneticPort` | `port_p` | Positive quasi-static magnetic port |

`NegativeMagneticPort` | `port_n` | Negative quasi-static magnetic port |

Hollow cylinder with radial flux; fixed shape; linear or non-linear material characteristics

The radial cylinder model is characterized by the outer diameter, , the inner diameter, , length, , and the angle . The magnetic reluctance is determined by:

In this model the magnetic flux and the magnetic potential difference, respectively, are radially oriented.

The above figure left shows a radial flux cylinder with . The figure on the right indicates the central angle in case a cylinder section shall be considered.

`Modelica.Magnetic.QuasiStatic.FluxTubes.Interfaces.PartialFixedShape`

(Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Type | Name | Default | Description |
---|---|---|---|

`RelativePermeability` | `mu_rConst` | `1` | Constant relative permeability |

`Length` | `l` | `0.01` | Width (orthogonal to flux direction) |

`Radius` | `r_i` | `0.01` | Inner radius of hollow cylinder |

`Radius` | `r_o` | `0.02` | Outer radius of hollow cylinder |

`Angle` | `alpha` | `2 * Modelica.Constants.pi` | Central angle |

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

`PositiveMagneticPort` | `port_p` | Positive quasi-static magnetic port |

`NegativeMagneticPort` | `port_n` | Negative quasi-static magnetic port |