(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
Tand
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
