roseau.load_flow.constants

Physical and mathematical constants used in the load flow calculations.

Attributes

SQRT3

The square root of 3.

ALPHA

Phasor rotation operator \(\alpha\), which rotates a phasor vector counterclockwise

ALPHA2

Phasor rotation operator \(\alpha^2\), which rotates a phasor vector clockwise by

PI

The famous mathematical constant \(\pi = 3.141592\ldots\).

CLOCK_PHASE_SHIFT

Phase shift for each clock number in the transformer vector group notation.

MU_0

Magnetic permeability of the vacuum \(\mu_0 = 4 \pi \times 10^{-7}\) (H/m).

EPSILON_0

Vacuum permittivity \(\varepsilon_0 = 8.8541878128 \times 10^{-12}\) (F/m).

F

Network frequency \(f = 50\) (Hz).

OMEGA

Angular frequency \(\omega = 2 \pi f\) (rad/s).

RHO

Resistivity of common conductor materials (Ohm.m).

MU_R

Relative magnetic permeability of common conductor materials.

DELTA_P

Skin depth of common conductor materials \(\sqrt{\dfrac{\rho}{\pi f \mu_r \mu_0}}\) (mm).

TAN_D

Loss angles of common insulator materials according to the IEC 60287 standard.

EPSILON_R

Relative permittivity of common insulator materials according to the IEC 60287 standard.

Module Contents

SQRT3: Final

The square root of 3.

ALPHA: Final

Phasor rotation operator \(\alpha\), which rotates a phasor vector counterclockwise by 120 degrees when multiplied by it.

Type:

complex

ALPHA2: Final

Phasor rotation operator \(\alpha^2\), which rotates a phasor vector clockwise by 120 degrees when multiplied by it.

Type:

complex

PI: Final = 3.141592653589793

The famous mathematical constant \(\pi = 3.141592\ldots\).

CLOCK_PHASE_SHIFT: Final

Phase shift for each clock number in the transformer vector group notation.

MU_0: Final

Magnetic permeability of the vacuum \(\mu_0 = 4 \pi \times 10^{-7}\) (H/m).

EPSILON_0: Final

Vacuum permittivity \(\varepsilon_0 = 8.8541878128 \times 10^{-12}\) (F/m).

F: Final

Network frequency \(f = 50\) (Hz).

OMEGA: Final

Angular frequency \(\omega = 2 \pi f\) (rad/s).

RHO: Final[dict[roseau.load_flow.types.Material, Q_[float]]]

Resistivity of common conductor materials (Ohm.m).

MU_R: Final[dict[roseau.load_flow.types.Material, Q_[float]]]

Relative magnetic permeability of common conductor materials.

DELTA_P: Final[dict[roseau.load_flow.types.Material, Q_[float]]]

Skin depth of common conductor materials \(\sqrt{\dfrac{\rho}{\pi f \mu_r \mu_0}}\) (mm).

TAN_D: Final[dict[roseau.load_flow.types.Insulator, Q_[float]]]

Loss angles of common insulator materials according to the IEC 60287 standard.

EPSILON_R: Final[dict[roseau.load_flow.types.Insulator, Q_[float]]]

Relative permittivity of common insulator materials according to the IEC 60287 standard.