Mathematical Modeling of Thermal Systems
The schematic (below) indicates a room heated with an electric heater. The inside of the room is at temperature and the walls are assumed to be at temperature .
If the outside temperature is , develop a model of the system to show the relationship between the supplied heat and the room temperature
Write the state–space model of the system in a matrix form and solve this equation using MATLAB. Plot the figures showing temperature variation for this thermal system in terms of vs. and vs. ( ). (Assume that =0.5, =1.8, =8, =4, =3, and =10)
Produce this assignment in a report format, with additional explanations on :
– Why do we linearized the behavior of a Fluid Systems normal operating points ? ( on your own words )
– Explain the assumptions needed to be consider for linearization.
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