Feedback stabilization of transition boiling states

A nonlinear one-dimensional heat-transfer model for pool boiling systems is considered. The model involves only the temperature distribution within the heater and models the heat exchange with the boiling medium via a nonlinear boundary condition imposed at the fluid-heater interface. This compact model is employed for the design and analysis of a control strategy for the stabilization of unstable states in order to improve cooling applications based on boiling heat transfer. Therefore, a state feedback controller is implemented that regulates the heat supply as a function of the system´s internal state. Simulations of the nonlinear closed-loop system expose the state feedback controller as a viable option for the rapid stabilization and regulation of pool boiling systems at an unstable equilibrium point.