Analog.Transformer

This component extends from TwoPort

Usage

TranslatedComponents.Analog.Transformer(L1=1, L2=1, M=1)

Parameters:

Name	Description	Units	Default value
L1	Primary inductance	H	1
L2	Secondary inductance	H	1
M	Coupling inductance	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
dv	Difference between voltage drop over primary inductor and voltage drop over secondary inductor	–

Behavior

$$\begin{array}{rl}\mathtt{v}\mathtt{1}\left(t\right)& =-\mathtt{n}\mathtt{1.}\mathtt{v}\left(t\right)+\mathtt{p}\mathtt{1.}\mathtt{v}\left(t\right)\\ \mathtt{v}\mathtt{2}\left(t\right)& =\mathtt{p}\mathtt{2.}\mathtt{v}\left(t\right)-\mathtt{n}\mathtt{2.}\mathtt{v}\left(t\right)\\ \mathtt{i}\mathtt{1}\left(t\right)& =\mathtt{p}\mathtt{1.}\mathtt{i}\left(t\right)\\ \mathtt{i}\mathtt{2}\left(t\right)& =\mathtt{p}\mathtt{2.}\mathtt{i}\left(t\right)\\ 0& =\mathtt{p}\mathtt{1.}\mathtt{i}\left(t\right)+\mathtt{n}\mathtt{1.}\mathtt{i}\left(t\right)\\ 0& =\mathtt{p}\mathtt{2.}\mathtt{i}\left(t\right)+\mathtt{n}\mathtt{2.}\mathtt{i}\left(t\right)\\ \mathtt{v}\mathtt{1}\left(t\right)& =\mathtt{L}\mathtt{1}\frac{\mathrm{d}\mathtt{i}\mathtt{1}\left(t\right)}{\mathrm{d}t}+M\frac{\mathrm{d}\mathtt{i}\mathtt{2}\left(t\right)}{\mathrm{d}t}\\ \mathtt{dv}\left(t\right)& =(\mathtt{L}\mathtt{1}-M)\frac{\mathrm{d}\mathtt{i}\mathtt{1}\left(t\right)}{\mathrm{d}t}+(-\mathtt{L}\mathtt{2}+M)\frac{\mathrm{d}\mathtt{i}\mathtt{2}\left(t\right)}{\mathrm{d}t}\\ \mathtt{v}\mathtt{2}\left(t\right)& =-\mathtt{dv}\left(t\right)+\mathtt{v}\mathtt{1}\left(t\right)\end{array}$$

Source

component Transformer
  extends TwoPort
  # Primary inductance
  parameter L1::Dyad.Inductance = 1
  # Secondary inductance
  parameter L2::Dyad.Inductance = 1
  # Coupling inductance
  parameter M::Dyad.Inductance = 1
  # Difference between voltage drop over primary inductor and voltage drop over secondary inductor
  variable dv::Real
relations
  v1 = L1 * der(i1) + M * der(i2)
  dv = (L1 - M) * der(i1) + (M - L2) * der(i2)
  v2 = v1 - dv
end

Flattened Source

component Transformer
  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
  # Primary inductance
  parameter L1::Dyad.Inductance = 1
  # Secondary inductance
  parameter L2::Dyad.Inductance = 1
  # Coupling inductance
  parameter M::Dyad.Inductance = 1
  # Difference between voltage drop over primary inductor and voltage drop over secondary inductor
  variable dv::Real
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
  v1 = L1 * der(i1) + M * der(i2)
  dv = (L1 - M) * der(i1) + (M - L2) * der(i2)
  v2 = v1 - dv
metadata {}
end

Test Cases

No test cases defined.

Related

• Examples

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