RelativeTemperatureSensor Icon

`RelativeTemperatureSensor`

Measures the temperature difference between two thermal nodes.

This sensor calculates the temperature difference between two connection points, node_a and node_b. It is ideal because it does not draw any heat flow from the system to which it is connected; specifically, the heat flows node_a.Q and node_b.Q are both constrained to be zero. The temperatures at these nodes are node_a.T and node_b.T. The relative temperature output T_rel is given by the equation:

\[T_{rel} = node\_a.T - node\_b.T\]

Usage

RelativeTemperatureSensor()

Connectors

node_a - This connector represents a thermal node with temperature and heat flow as the potential and flow variables, respectively. (Node)
node_b - This connector represents a thermal node with temperature and heat flow as the potential and flow variables, respectively. (Node)
T_rel - This connector represents a real signal as an output from a component (RealOutput)

Behavior

\[ \begin{align} \mathtt{T\_rel}\left( t \right) &= - \mathtt{node\_b.T}\left( t \right) + \mathtt{node\_a.T}\left( t \right) \\ 0 &= \mathtt{node\_a.Q}\left( t \right) \\ 0 &= \mathtt{node\_b.Q}\left( t \right) \end{align} \]

Source

# Measures the temperature difference between two thermal nodes.
#
# This sensor calculates the temperature difference between two connection points,
# `node_a` and `node_b`. It is ideal because it does not draw any
# heat flow from the system to which it is connected; specifically, the heat
# flows `node_a.Q` and `node_b.Q` are both constrained to be zero.
# The temperatures at these nodes are `node_a.T` and `node_b.T`.
# The relative temperature output `T_rel` is given by the equation:
# ```math
# T_{rel} = node\_a.T - node\_b.T
# ```
component RelativeTemperatureSensor
  # First thermal connection point
  node_a = Node() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "node_a", "x1": -100, "y1": 400, "x2": 100, "y2": 600}}
    }
  }]
  # Second thermal connection point
  node_b = Node() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "node_b", "x1": 900, "y1": 400, "x2": 1100, "y2": 600}}
    }
  }]
  # Relative temperature as output signal
  T_rel = RealOutput() [{"Dyad": {"placement": {"icon": {"x1": 400, "y1": 900, "x2": 600, "y2": 1100}}}}]
relations
  T_rel = node_a.T-node_b.T
  0 = node_a.Q
  0 = node_b.Q
end

Flattened Source

# Measures the temperature difference between two thermal nodes.
#
# This sensor calculates the temperature difference between two connection points,
# `node_a` and `node_b`. It is ideal because it does not draw any
# heat flow from the system to which it is connected; specifically, the heat
# flows `node_a.Q` and `node_b.Q` are both constrained to be zero.
# The temperatures at these nodes are `node_a.T` and `node_b.T`.
# The relative temperature output `T_rel` is given by the equation:
# ```math
# T_{rel} = node\_a.T - node\_b.T
# ```
component RelativeTemperatureSensor
  # First thermal connection point
  node_a = Node() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "node_a", "x1": -100, "y1": 400, "x2": 100, "y2": 600}}
    }
  }]
  # Second thermal connection point
  node_b = Node() [{
    "Dyad": {
      "placement": {"icon": {"iconName": "node_b", "x1": 900, "y1": 400, "x2": 1100, "y2": 600}}
    }
  }]
  # Relative temperature as output signal
  T_rel = RealOutput() [{"Dyad": {"placement": {"icon": {"x1": 400, "y1": 900, "x2": 600, "y2": 1100}}}}]
relations
  T_rel = node_a.T-node_b.T
  0 = node_a.Q
  0 = node_b.Q
metadata {}
end

Test Cases

No test cases defined.

Examples
Experiments
Analyses
Tests
- TemperatureOfTwoMassesTest

RelativeTemperatureSensor