modelHeatingSystemExplicit
Explicit ODE model of a heating system - continuous-time dynamics
Information
Same model as HeatingSystem, with explicit formulation of the state derivatives.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Real | pi | Modelica.Constants.pi | |
| Integer | N | 3 | Number of heated units |
| SI.HeatCapacity[N] | Cu | (ones(N) + linspace(0, 1.348, N))*1e7 | Heat capacity of heated units |
| SI.HeatCapacity | Cd | 2e6*N | Heat capacity of distribution circuit |
| SI.ThermalConductance | Gh | 200 | Thermal conductance of heating elements |
| SI.ThermalConductance | Gu | 150 | Thermal conductance of heated units to the atmosphere |
| SI.Power | Qmax | N*3000 | Maximum power output of heat generation unit |
| SI.TemperatureDifference | Teps | 0.5 | Threshold of heated unit temperature controllers |
| SI.Temperature | Td0 | 343.15 | Set point of distribution circuit temperature |
| SI.Temperature | Tu0 | 293.15 | Heated unit temperature set point |
| Real | Kp | Qmax/4 | Proportional gain of heat generation unit temperature controller |
| Real | a | 50 | Gain of the histeresis function |
| Real | b | 15 | Slope of the saturation function at the origin |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Temperature | Td | Temperature of the fluid in the distribution system | |
| SI.Temperature[N] | Tu | Temperature of individual heated units | |
| Real[N] | x | States of heated units temperature controllers |