How to Obtain the Transfer Function for a Heating System with Dual Tanks?

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SUMMARY

The discussion focuses on obtaining the transfer function for a dual-tank heating system, specifically where tank A maintains a temperature of 40°C and tank B, which contains a heating coil, is designed to stabilize the temperature at 45°C. The system is characterized by a stationary water level in tank B, with no mass loss due to vaporization. The user has established a relationship for the transfer function and seeks guidance on further analysis for controller design.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with thermal dynamics and heat transfer principles
  • Knowledge of MATLAB or Simulink for simulation
  • Basic concepts of PID controller design
NEXT STEPS
  • Research how to derive transfer functions for thermal systems
  • Learn MATLAB Simulink for modeling dual-tank systems
  • Study PID controller tuning techniques for temperature control
  • Explore stability analysis methods for control systems
USEFUL FOR

Control engineers, thermal system designers, and students studying control theory or thermal dynamics who are interested in temperature regulation in dual-tank systems.

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i need a help to obtain transfer function for a tank, where a heater is placed. the liquid temperature should be maintained at 45C . no inlet or out let. how to obtain the transfer function?? for analysisng about the controller?
 
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Actually the system is like this. a tank is placed inside another tank. consider outer tank as A and inner as B. the heating coil is placed inside tank B, for the purpose of heat distribution in the liquid inside tank A. tank A has inlets and outlet.
but tank B water level is stationary no inflow or out flow. assume there won't be a mass loss as vapour.
the required temp in outer tank A is 40 C. so i have build the relationship and obtain transfer function.

please guide me . pleasezzzzz
 

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