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Reset Control of Pressure-Drop Oscillations in Boiling Micro-Channel Systems
Masataka Iwai,Toshimitsu Ushio 제어로봇시스템학회 2016 제어로봇시스템학회 국제학술대회 논문집 Vol.2016 No.10
A micro-channel has become a popular scheme in high heat flux electronics cooling. But boiling flow instabilities can occur in these cooling systems with micro-channel heat sinks. These pressure-drop oscillations are limit cycles. We model the system by a van der Pol equation with a control input, which is represented by a control system with a nonlinear feedback element. Using a describing function, we approximate the pressure-drop oscillation in the boiling micro-channel system controlled by a reset controller. Then we obtain a control parameter region where the pressure-drop oscillation is eliminated by the controllerBy simulation, we also show that the pressure-drop oscillation is eliminated by the reset controller.
Prediction of Limit Cycles in Nonlinear Systems with Reset Controllers Using Describing Function
Masataka Iwai,Toshimitsu Ushio 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
In nonlinear systems, limit cycles may exsist in some’s parameters and may cause some unexpected damage. This paper proposes a design method of a reset controller for the Reset control of limit cycles. We consider a plant consisting of a linear system with a nonlinear feedback element and show a condition of the parameter for which limit cycles exists, using describing functions of the nonlinear element and the reset controller. The adjustable parameter of the reset controller is determined by the intersection of the inverse Nyquist locus of the linear system and the existence region of the limit cycles on the complex plain. We apply the proposed design method of the reset controller to the van der Pol equation and show its effectiveness.