Analog.IdealTransformer

This component extends from TwoPort

Usage

TranslatedComponents.Analog.IdealTransformer(n=1, Lm1=1)

Parameters:

Name	Description	Units	Default value
considerMagnetization	Choice of considering magnetization	–	false
n	Turns ratio primary:secondary voltage	–	1
Lm1	Magnetization inductance w.r.t. primary side	H	1

Connectors

• p1 - This connector represents an electrical pin with voltage and current as the potential and flow variables, respectively. (Pin)

• n1 - This connector represents an electrical pin with voltage and current as the potential and flow variables, respectively. (Pin)

• p2 - This connector represents an electrical pin with voltage and current as the potential and flow variables, respectively. (Pin)

• n2 - This connector represents an electrical pin with voltage and current as the potential and flow variables, respectively. (Pin)

Variables

Name	Description	Units
v1	Voltage drop of port 1 (= p1.v - n1.v)	V
v2	Voltage drop of port 2 (= p2.v - n2.v)	V
i1	Current flowing from pos. to neg. pin of port 1	A
i2	Current flowing from pos. to neg. pin of port 2	A
im1	Magnetization current w.r.t. primary side	A
psim1	Magnetic flux w.r.t. primary side	Wb

Behavior

$$\begin{array}{rl}\mathtt{v}\mathtt{1}\left(t\right)& =-\mathtt{n}\mathtt{1.}\mathtt{v}\left(t\right)+\mathtt{p}\mathtt{1.}\mathtt{v}\left(t\right)\\ \mathtt{v}\mathtt{2}\left(t\right)& =\mathtt{p}\mathtt{2.}\mathtt{v}\left(t\right)-\mathtt{n}\mathtt{2.}\mathtt{v}\left(t\right)\\ \mathtt{i}\mathtt{1}\left(t\right)& =\mathtt{p}\mathtt{1.}\mathtt{i}\left(t\right)\\ \mathtt{i}\mathtt{2}\left(t\right)& =\mathtt{p}\mathtt{2.}\mathtt{i}\left(t\right)\\ 0& =\mathtt{p}\mathtt{1.}\mathtt{i}\left(t\right)+\mathtt{n}\mathtt{1.}\mathtt{i}\left(t\right)\\ 0& =\mathtt{p}\mathtt{2.}\mathtt{i}\left(t\right)+\mathtt{n}\mathtt{2.}\mathtt{i}\left(t\right)\\ \mathtt{im}\mathtt{1}\left(t\right)& =\mathtt{i}\mathtt{1}\left(t\right)+\frac{\mathtt{i}\mathtt{2}\left(t\right)}{n}\\ \mathtt{v}\mathtt{1}\left(t\right)& =n\mathtt{v}\mathtt{2}\left(t\right)\\ \mathtt{psim}\mathtt{1}\left(t\right)& =0\\ \mathtt{im}\mathtt{1}\left(t\right)& =0\end{array}$$

Source

component IdealTransformer
  extends TwoPort
  # Turns ratio primary:secondary voltage
  parameter n::Real = 1
  # Choice of considering magnetization
  structural parameter considerMagnetization::Boolean = false
  # Magnetization inductance w.r.t. primary side
  parameter Lm1::Dyad.Inductance = 1
  # Magnetization current w.r.t. primary side
  variable im1::Dyad.Current
  # Magnetic flux w.r.t. primary side
  variable psim1::Dyad.MagneticFlux
relations
  im1 = i1 + i2 / n
  if considerMagnetization
    psim1 = Lm1 * im1
    v1 = der(psim1)
  else
    psim1 = 0
    im1 = 0
  end
  v1 = n * v2
end

Flattened Source

component IdealTransformer
  p1 = Pin()
  n1 = Pin()
  p2 = Pin()
  n2 = Pin()
  # Voltage drop of port 1 (= p1.v - n1.v)
  variable v1::Dyad.Voltage
  # Voltage drop of port 2 (= p2.v - n2.v)
  variable v2::Dyad.Voltage
  # Current flowing from pos. to neg. pin of port 1
  variable i1::Dyad.Current
  # Current flowing from pos. to neg. pin of port 2
  variable i2::Dyad.Current
  # Turns ratio primary:secondary voltage
  parameter n::Real = 1
  # Choice of considering magnetization
  structural parameter considerMagnetization::Boolean = false
  # Magnetization inductance w.r.t. primary side
  parameter Lm1::Dyad.Inductance = 1
  # Magnetization current w.r.t. primary side
  variable im1::Dyad.Current
  # Magnetic flux w.r.t. primary side
  variable psim1::Dyad.MagneticFlux
relations
  v1 = p1.v - n1.v
  v2 = p2.v - n2.v
  i1 = p1.i
  i2 = p2.i
  0 = p1.i + n1.i
  0 = p2.i + n2.i
  im1 = i1 + i2 / n
  if considerMagnetization
    psim1 = Lm1 * im1
    v1 = der(psim1)
  else
    psim1 = 0
    im1 = 0
  end
  v1 = n * v2
metadata {}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

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