Variable Structure Model for Flow-Induced Tonal Noise Control with Plasma Actuators

Abstract

The objective of this work was to study the effect of plasma actuators in attenuating low-speed flow-induced cavity tones from a control point of view by employing techniques from classical control. A modification of the existing physics-based linear model produced a new variable structure model in which a plasma actuator was regarded as a linear gain. The parameters of the overall model working at two operating voltages were identified using experimental data. The effects of the plasma actuator control at other various operating voltages were thus able to be predicted using linear interpolation. The good agreement between the predicted and the measured data supported the proposed variable structure model, inside of which plasma actuators affected the damping of cavity pressure oscillations proportionally to the applied voltage to reduce flow-induced tonal noise. With the proposed variable structure model the system stability controlled by plasma actuators at various operating voltages was ensured, thus a closed-loop control method could be applied without leading to instability. A simple proportional integral derivative controller was implemented. Results show the potential of a closed-loop method by increasing system power efficiency.

Adaptive Flow Control of Low Reynolds Number Aerodynamics Using a Dielectric Barrier Discharge Actuator

“…The update law (18) guarantees to decrease the performance error ε(k), the difference between the current performance and the desired performance 24 (20) where the desired performance is assumed to have the controller parameter θ * which minimizes the cost function for all k.…”

Adaptive flow control of low-Reynolds number aerodynamics using dielectric barrier discharge actuator

“…To increase the effects on the wake behind circular cylinder Asghar et al suggest to locate the actuator near ±90º points where the average flow separation occurs 19 . Huang et al employ a closed-loop PID controller based on the variable structure model to increase the power efficiency in noise reduction using DBD actuators 20 .…”

Streamwise and spanwise plasma actuators for flow-induced cavity noise control

“…Up to now, the maximal velocity produced by glow discharge/dielectric barrier discharge is below 8 m / s. 2,4,9,10 The relatively low authority of a plasma actuator remains a great concern for high speed flow control applications. To solve the problem, both new dielectric materials with high dielectric strength/ constant and intelligent control method that applies plasma actuation more efficiently 15 have to be studied. The investigation on the two topics is ongoing and beyond the scope of this paper.…”