Capacitor Icon

`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:

\[C der(v) = i\]

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

OnePort

Usage

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

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

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.

Examples
Experiments
Analyses
Tests
- MultiSensorTest
- SensorsTest