Capacitor

Ideal electrical capacitor.

This component models a linear capacitor, a fundamental passive two-terminal electrical component used to store energy electrostatically in an electric field. The relationship between the current i flowing through the capacitor and the voltage v across its terminals is defined by the equation:

$$Cder(v)=i$$

where C is the capacitance value and der(v) is the time derivative of the voltage v.

This component extends from OnePort

Usage

ElectricalComponents.Capacitor(C)

Parameters:

Name	Description	Units	Default value
C	Capacitance of the ideal capacitor	F

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 across the component (between pin p and pin n).	V
i	Current flowing through the component (from pin p to pin n).	A

Behavior

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

Source

"""
Ideal electrical capacitor.

This component models a linear capacitor, a fundamental passive two-terminal electrical component
used to store energy electrostatically in an electric field. The relationship between the
current `i` flowing through the capacitor and the voltage `v` across its terminals is
defined by the equation:

math C der(v) = i

where `C` is the capacitance value and `der(v)` is the time derivative of the voltage `v`.
"""
component Capacitor
  extends OnePort
  "Capacitance of the ideal capacitor"
  parameter C::Capacitance
relations
  C * der(v) = i
metadata {
  "Dyad": {
    "labels": [
      {"label": "$(instance)", "x": 500, "y": 1100, "rot": 0},
      {"label": "C=$(C)F", "x": 500, "y": 150, "rot": 0}
    ],
    "icons": {"default": "dyad://ElectricalComponents/Capacitor.svg"}
  }
}
end

Flattened Source

"""
Ideal electrical capacitor.

This component models a linear capacitor, a fundamental passive two-terminal electrical component
used to store energy electrostatically in an electric field. The relationship between the
current `i` flowing through the capacitor and the voltage `v` across its terminals is
defined by the equation:

math C der(v) = i

where `C` is the capacitance value and `der(v)` is the time derivative of the voltage `v`.
"""
component Capacitor
  "Positive electrical pin."
  p = Pin() {
    "Dyad": {
      "placement": {"icon": {"iconName": "pos", "x1": -50, "y1": 450, "x2": 50, "y2": 550}}
    }
  }
  "Negative electrical pin."
  n = Pin() {
    "Dyad": {
      "placement": {"icon": {"iconName": "neg", "x1": 950, "y1": 450, "x2": 1050, "y2": 550}}
    }
  }
  "Voltage across the component (between pin p and pin n)."
  variable v::Voltage
  "Current flowing through the component (from pin p to pin n)."
  variable i::Current
  "Capacitance of the ideal capacitor"
  parameter C::Capacitance
relations
  v = p.v - n.v
  i = p.i
  p.i + n.i = 0
  C * der(v) = i
metadata {
  "Dyad": {
    "labels": [
      {"label": "$(instance)", "x": 500, "y": 1100, "rot": 0},
      {"label": "C=$(C)F", "x": 500, "y": 150, "rot": 0}
    ],
    "icons": {"default": "dyad://ElectricalComponents/Capacitor.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples

• Experiments

• Analyses

• Tests

  • MultiSensorTest

  • SensorsTest