LIBRARY

Components.ThermalResistor

Represents a pure thermal resistance relating temperature difference to heat flow rate.

This component models a lumped thermal resistance where heat is transported without being stored. The relationship between the temperature difference ($\mathrm{\Delta }T$) across the component and the heat flow rate ($Q_{flow}$) through it is defined by its constant thermal resistance ($R$). The fundamental behavior is captured by Fourier's law of heat conduction in its lumped form:

$$\mathrm{\Delta }T=R\cdot Q_{flow}$$

This component is acausal and inherits from Element1D, implying it has two thermal ports through which heat can flow.

This component extends from ThermalComponents.Interfaces.Element1D

Usage

ThermalComponents.Components.ThermalResistor(R)

Parameters:

Name	Description	Units	Default value
R	Constant thermal resistance of the material	K/W

Connectors

• port_a - This connector represents a thermal port with temperature and heat flow as the potential and flow variables, respectively. (HeatPort)

• port_b - This connector represents a thermal port with temperature and heat flow as the potential and flow variables, respectively. (HeatPort)

Variables

Name	Description	Units
ΔT	Temperature difference across the element, calculated as port_a.T - port_b.T	K
Q_flow	Heat flow rate through the element, positive from port_a to port_b	W

Behavior

$$\begin{array}{rl}\mathtt{\Delta }\mathtt{T}\left(t\right)& =-\mathtt{port}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{T}\left(t\right)+\mathtt{port}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{T}\left(t\right)\\ \mathtt{port}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)& =\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)\\ \mathtt{port}\mathtt{\_}\mathtt{a}\mathtt{.}\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)+\mathtt{port}\mathtt{\_}\mathtt{b}\mathtt{.}\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)& =0\\ \mathtt{\Delta }\mathtt{T}\left(t\right)& =R\mathtt{Q}\mathtt{\_}\mathtt{flow}\left(t\right)\end{array}$$

Source

"""
Represents a pure thermal resistance relating temperature difference to heat flow rate.

This component models a lumped thermal resistance where heat is transported without being stored.
The relationship between the temperature difference ($\Delta T$) across the
component and the heat flow rate ($Q_{flow}$) through it is defined by its constant
thermal resistance ($R$). The fundamental behavior is captured by Fourier's law of heat conduction
in its lumped form:

math \Delta T = R \cdot Q_

This component is acausal and inherits from `Element1D`, implying it has two
thermal ports through which heat can flow.
"""
component ThermalResistor
  extends ThermalComponents.Interfaces.Element1D
  "Constant thermal resistance of the material"
  parameter R::ThermalResistance
relations
  ΔT = R * Q_flow
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://ThermalComponents/ThermalResistor.svg"}
  }
}
end

Flattened Source

"""
Represents a pure thermal resistance relating temperature difference to heat flow rate.

This component models a lumped thermal resistance where heat is transported without being stored.
The relationship between the temperature difference ($\Delta T$) across the
component and the heat flow rate ($Q_{flow}$) through it is defined by its constant
thermal resistance ($R$). The fundamental behavior is captured by Fourier's law of heat conduction
in its lumped form:

math \Delta T = R \cdot Q_

This component is acausal and inherits from `Element1D`, implying it has two
thermal ports through which heat can flow.
"""
component ThermalResistor
  "Port 'a' for thermal connection"
  port_a = HeatPort() {
    "Dyad": {
      "placement": {"icon": {"iconName": "port_a", "x1": -50, "y1": 450, "x2": 50, "y2": 550}}
    }
  }
  "Port 'b' for thermal connection"
  port_b = HeatPort() {
    "Dyad": {
      "placement": {"icon": {"iconName": "port_b", "x1": 950, "y1": 450, "x2": 1050, "y2": 550}}
    }
  }
  "Temperature difference across the element, calculated as port_a.T - port_b.T"
  variable ΔT::Temperature
  "Heat flow rate through the element, positive from port_a to port_b"
  variable Q_flow::HeatFlowRate
  "Constant thermal resistance of the material"
  parameter R::ThermalResistance
relations
  ΔT = port_a.T - port_b.T
  port_a.Q_flow = Q_flow
  port_a.Q_flow + port_b.Q_flow = 0
  ΔT = R * Q_flow
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://ThermalComponents/ThermalResistor.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

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