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(Solved): Problem Statement Design an automated refrigerated warehouse system to preserve perishable goods w ...



Problem Statement Design an automated refrigerated warehouse system to preserve perishable goods while minimizing energy consumption and carbon footprint. The system must: Maintain temperature

(T)

and humidity

(H)

within strict ranges. Optimize solar energy usage and battery storage

(E)

. Prioritize renewable energy over grid power. Key Features Nonlinear Dynamics: Thermal losses scale nonlinearly with

T_(inside )-T_(outside )

- Battery charging efficiency decreases nonlinearly with charge level. Coupling: Cooling system operation affects both

T

and

H

(condensation). Solar availability impacts battery

E

, limiting actuator power. Actuators: PID-controlled refrigeration compressor. Relay-controlled dehumidifier and grid power switch. Tasks Modeling Derive three nonlinear ODEs guided by: Temperature (T):Figure 1: System components: Sensors monitor T, H, and battery E. Actuators adjust cooling, dehumidification, and grid usage. Solar energy charges the battery. Rate of change

=

(ambient heat leakage) - (cooling power)

-

door openings. Heat leakage

prop(T_(out )-T)^(3)

, cooling

prop\sqrt(E)

(battery-dependent). Humidity

(H)

: Rate of change moisture ingress



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