HeatCapacitor

Lumped thermal element storing heat

Usage

HeatCapacitor(C, T0)

Parameters:

Name	Description	Units	Default value
C	Heat capacity of the element	J/K
T0	Initial temperature of the element	K

Connectors

• node - (Node)

Variables

Name	Description	Units
T	Temperature of the element	K
dT	Time derivative of temperature T	K/s

Behavior

$$\begin{array}{rl}T\left(t\right)& =\mathtt{node}\mathtt{.}\mathtt{T}\left(t\right)\\ \frac{\mathrm{d}T\left(t\right)}{\mathrm{d}t}& =\mathtt{dT}\left(t\right)\\ \mathtt{dT}\left(t\right)& =\frac{\mathtt{node}\mathtt{.}\mathtt{Q}\left(t\right)}{C}\end{array}$$

Source

# Lumped thermal element storing heat
component HeatCapacitor
  node = Node() [{"Dyad": {"placement": {"icon": {"x1": 400, "y1": 900, "x2": 600, "y2": 1100}}}}]
  # Heat capacity of the element
  parameter C::HeatCapacity
  # Temperature of the element
  variable T::Temperature
  # Initial temperature of the element
  parameter T0::Temperature
  # Time derivative of temperature `T`
  variable dT::TemperatureSlope
relations
  initial T = T0
  T = node.T
  der(T) = dT
  dT = node.Q/C
end

Flattened Source

# Lumped thermal element storing heat
component HeatCapacitor
  node = Node() [{"Dyad": {"placement": {"icon": {"x1": 400, "y1": 900, "x2": 600, "y2": 1100}}}}]
  # Heat capacity of the element
  parameter C::HeatCapacity
  # Temperature of the element
  variable T::Temperature
  # Initial temperature of the element
  parameter T0::Temperature
  # Time derivative of temperature `T`
  variable dT::TemperatureSlope
relations
  initial T = T0
  T = node.T
  der(T) = dT
  dT = node.Q/C
metadata {}
end

Test Cases

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

using ThermalComponents
using ModelingToolkit, OrdinaryDiffEqDefault
using Plots
using CSV, DataFrames

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

"/home/actions-runner-10/.julia/packages/ThermalComponents/uOuoD/test/snapshots"

Related

• Examples

• Experiments

• Analyses