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

Capacitor(C)

Parameters:

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

Connectors

• p - (Pin)

• n - (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

This is setup code, that must be run before each test case.

using ElectricalComponents
using ModelingToolkit, OrdinaryDiffEqDefault
using Plots
using CSV, DataFrames

snapshotsdir = joinpath(dirname(dirname(pathof(ElectricalComponents))), "test", "snapshots")

"/home/actions-runner-10/.julia/packages/ElectricalComponents/bmmPM/test/snapshots"

Related

• Examples

• Experiments

• Analyses

• Tests

  • MultiSensorTest

  • SensorsTest