Mathematical Modeling of Thermal Systems The schematic (below) indicates a room heated with an electric heater. The inside of the room is at temperature ππand the walls are assumed to be at temperature ππ€. If the outside temperature is ππ, develop a model of the system to show the relationship between the supplied heat π and the room temperature ππ 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 ππ vs. π‘ and ππ€ vs. π‘ (π‘πππ). (Assume that π π=0.5, π π€=1.8, ππ=8, ππ€=4, ππ=3, and π=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. Requirements: 1 page | .doc file
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