Analog.NonlinearResistor

This component extends from OnePort

Usage

TranslatedComponents.Analog.NonlinearResistor(Ga, Gb, Ve)

Parameters:

Name	Description	Units	Default value
Ga	Conductance in inner voltage range	S
Gb	Conductance in outer voltage range	S
Ve	Inner voltage range limit	V

Connectors

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

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

Variables

Name	Description	Units
v	Voltage drop of the two pins (= p.v - n.v)	V
i	Current flowing from pin p to pin n	A

Behavior

$$\begin{array}{rl}v\left(t\right)& =\mathtt{p}\mathtt{.}\mathtt{v}\left(t\right)-\mathtt{n}\mathtt{.}\mathtt{v}\left(t\right)\\ 0& =\mathtt{n}\mathtt{.}\mathtt{i}\left(t\right)+\mathtt{p}\mathtt{.}\mathtt{i}\left(t\right)\\ i\left(t\right)& =\mathtt{p}\mathtt{.}\mathtt{i}\left(t\right)\\ i\left(t\right)& =ifelse(v\left(t\right)<-\mathtt{Ve},-\mathtt{Ga}\mathtt{Ve}+\mathtt{Gb}(\mathtt{Ve}+v\left(t\right)),ifelse(v\left(t\right)>\mathtt{Ve},\mathtt{Ga}\mathtt{Ve}+\mathtt{Gb}(-\mathtt{Ve}+v\left(t\right)),\mathtt{Ga}v\left(t\right)))\end{array}$$

Source

component NonlinearResistor
  extends OnePort
  # Conductance in inner voltage range
  parameter Ga::Dyad.Conductance
  # Conductance in outer voltage range
  parameter Gb::Dyad.Conductance
  # Inner voltage range limit
  parameter Ve::Dyad.Voltage
relations
  i = (v < -Ve) ? (Gb * (v + Ve) - Ga * Ve) : ((v > Ve) ? (Gb * (v - Ve) + Ga * Ve) : (Ga * v))
end

Flattened Source

component NonlinearResistor
  p = Pin()
  n = Pin()
  # Voltage drop of the two pins (= p.v - n.v)
  variable v::Dyad.Voltage
  # Current flowing from pin p to pin n
  variable i::Dyad.Current
  # Conductance in inner voltage range
  parameter Ga::Dyad.Conductance
  # Conductance in outer voltage range
  parameter Gb::Dyad.Conductance
  # Inner voltage range limit
  parameter Ve::Dyad.Voltage
relations
  v = p.v - n.v
  0 = p.i + n.i
  i = p.i
  i = (v < -Ve) ? (Gb * (v + Ve) - Ga * Ve) : ((v > Ve) ? (Gb * (v - Ve) + Ga * Ve) : (Ga * v))
metadata {}
end

Test Cases

No test cases defined.

Related

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