FluxTubes.QuarterSphere

This component extends from Leakage

Usage

TranslatedComponents.FluxTubes.QuarterSphere(r=0.005)

Parameters:

Name	Description	Units	Default value
r	Radius of quarter sphere	m	0.005

Connectors

• port_p - (MagneticPort)

• port_n - (MagneticPort)

Variables

Name	Description	Units
V_m	Magnetic potential difference of ports	A
Phi	Magnetic flux from port_p to port_n	Wb
R_m	Magnetic reluctance	H-1
G_m	Magnetic permeance	H

Behavior

$$\begin{array}{rl}\mathtt{V}\mathtt{\_}\mathtt{m}\left(t\right)& =\mathtt{port}\mathtt{\_}\mathtt{p}\mathtt{.}\mathtt{V}\mathtt{\_}\mathtt{m}\left(t\right)-\mathtt{port}\mathtt{\_}\mathtt{n}\mathtt{.}\mathtt{V}\mathtt{\_}\mathtt{m}\left(t\right)\\ \mathtt{Phi}\left(t\right)& =\mathtt{port}\mathtt{\_}\mathtt{p}\mathtt{.}\mathtt{Phi}\left(t\right)\\ 0& =\mathtt{port}\mathtt{\_}\mathtt{p}\mathtt{.}\mathtt{Phi}\left(t\right)+\mathtt{port}\mathtt{\_}\mathtt{n}\mathtt{.}\mathtt{Phi}\left(t\right)\\ \mathtt{V}\mathtt{\_}\mathtt{m}\left(t\right)& =\mathtt{Phi}\left(t\right)\mathtt{R}\mathtt{\_}\mathtt{m}\left(t\right)\\ \mathtt{R}\mathtt{\_}\mathtt{m}\left(t\right)& =\frac{1}{\mathtt{G}\mathtt{\_}\mathtt{m}\left(t\right)}\\ \mathtt{G}\mathtt{\_}\mathtt{m}\left(t\right)& =1.9352\cdot {10}^{-7}r\end{array}$$

Source

component QuarterSphere
  extends Leakage
  # Radius of quarter sphere
  parameter r::Dyad.Radius = 0.005
relations
  G_m = 1.25663706212e-6 * 0.077 * 2 * r
end

Flattened Source

component QuarterSphere
  port_p = MagneticPort()
  port_n = MagneticPort()
  # Magnetic potential difference of ports
  variable V_m::Dyad.MagneticPotentialDifference
  # Magnetic flux from port_p to port_n
  variable Phi::Dyad.MagneticFlux
  # Magnetic reluctance
  variable R_m::Dyad.Reluctance
  # Magnetic permeance
  variable G_m::Dyad.Permeance
  # Radius of quarter sphere
  parameter r::Dyad.Radius = 0.005
relations
  V_m = port_p.V_m - port_n.V_m
  Phi = port_p.Phi
  0 = port_p.Phi + port_n.Phi
  V_m = Phi * R_m
  R_m = 1 / G_m
  G_m = 1.25663706212e-6 * 0.077 * 2 * r
metadata {}
end

Test Cases

No test cases defined.

Related

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