Conductor

Ideal linear electrical conductor relating current and voltage through its conductance.

This component models an ideal electrical conductor where the electrical current flowing through it is directly proportional to the voltage difference across its terminals. The relationship is defined by Ohm's law:

\[i = G v\]

where i is the current, v is the voltage, and G is the conductance. The conductance G is a parameter, representing the ease with which current flows through the material, and is the reciprocal of resistance. This model assumes linear behavior, meaning the conductance G remains constant regardless of the voltage or current. It inherits from TwoPin, implying it has two electrical connection points (pins) where voltage v is measured across and current i flows through.

OnePort

Usage

Conductor(G)

Parameters:

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

Behavior

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

Source

# Ideal linear electrical conductor relating current and voltage through its conductance.
#
# This component models an ideal electrical conductor where the electrical current flowing through it
# is directly proportional to the voltage difference across its terminals.
# The relationship is defined by Ohm's law:
# ```math
# i = G v
# ```
# where `i` is the current, `v` is the voltage, and `G` is the conductance.
# The conductance `G` is a parameter, representing the ease with which current
# flows through the material, and is the reciprocal of resistance. This model
# assumes linear behavior, meaning the conductance `G` remains constant
# regardless of the voltage or current. It inherits from `TwoPin`,
# implying it has two electrical connection points (pins) where voltage `v` is measured
# across and current `i` flows through.
component Conductor
  extends OnePort
  # The electrical conductance of the material.
  parameter G::Conductance
relations
  i = G*v
metadata {
  "Dyad": {
    "labels": [
      {"label": "$(instance)", "x": 500, "y": 1100, "rot": 0},
      {"label": "G=$(G)℧", "x": 500, "y": 150, "rot": 0}
    ],
    "icons": {"default": "dyad://ElectricalComponents/Conductor.svg"}
  }
}
end

# Ideal linear electrical conductor relating current and voltage through its conductance.
#
# This component models an ideal electrical conductor where the electrical current flowing through it
# is directly proportional to the voltage difference across its terminals.
# The relationship is defined by Ohm's law:
# ```math
# i = G v
# ```
# where `i` is the current, `v` is the voltage, and `G` is the conductance.
# The conductance `G` is a parameter, representing the ease with which current
# flows through the material, and is the reciprocal of resistance. This model
# assumes linear behavior, meaning the conductance `G` remains constant
# regardless of the voltage or current. It inherits from `TwoPin`,
# implying it has two electrical connection points (pins) where voltage `v` is measured
# across and current `i` flows through.
component Conductor
  # 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
  # The electrical conductance of the material.
  parameter G::Conductance
relations
  v = p.v-n.v
  i = p.i
  p.i+n.i = 0
  i = G*v
metadata {
  "Dyad": {
    "labels": [
      {"label": "$(instance)", "x": 500, "y": 1100, "rot": 0},
      {"label": "G=$(G)℧", "x": 500, "y": 150, "rot": 0}
    ],
    "icons": {"default": "dyad://ElectricalComponents/Conductor.svg"}
  }
}
end

Test Cases

No test cases defined.

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