Coupled Operational Optimization of Smart Valve System Subject to Different Approach Angles of a Pipe Contraction

Abstract

In this paper, we focus on interconnected trajectory optimization of two sets of solenoid actuated butterfly valves dynamically coupled in series. The system undergoes different approach angles of a pipe contraction as a typical profile of the so-called “Smart Valves” network containing tens of actuated valves. A high fidelity interconnected mathematical modeling process is derived to reveal the expected complexity of such a multiphysics system dealing with electromagnetics, fluid mechanics, and nonlinear dynamic effects. A coupled operational optimization scheme is formulated in order to seek the most efficient trajectories of the interconnected valves minimizing the energy consumed enforcing stability and physical constraints. We examine various global optimization methods including Particle Swarm, Simulated Annealing, Genetic, and Gradient based algorithms to avoid being trapped in several possible local minima. The effect of the approach angles of the pipeline contraction on the amount of energy saved is discussed in detail. The results indicate that a substantial amount of energy can be saved by an intelligent operation that uses flow torques to augment the closing efforts.

An Adaptive Centralized Approach to Control Chaotic and Hyperchaotic Dynamics of Smart Valves Network

“…2. We have previously reported [1][2][3]9,10,12] that a smaller pipe diameter yields both the higher hydrodynamic and bearing torques due to the higher coefficient of the upstream valve than that of the downstream one (Eqs. (39) and (40)).…”

“…(39) and (40)). From another aspect, the hydrodynamic torque is a helping load [1][2][3][4][5][6][8][9][10][11][12][13] to close the symmetric valve whereas the bearing one is a resistance (frictionbased) torque for the valve's operation. The downstream set with a smaller pipe diameter, subject to the chaotic dynamics of the Initial 1 , undoubtedly needs more suppressing control input to mitigate the destabilizer effects of the higher hydrodynamic torque acting on the valve.…”

“…We have reported broad analytical and experimental studies [1][2][3][4][5][6][7][8][9][10][11][12][13] for both an isolated actuator-valve arrangement and a network of two interconnected solenoid actuated butterfly valves operating in series. A novel third-order nondimensional analytical model of the single solenoid actuated butterfly valve was derived dealing with the coupled nonlinear magnetic, hydrodynamic, and bearing torques [8].…”

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

“…Note that the immediate focus of this research work is on reducing cumbersome computational burden of optimization efforts associated with high-DOF robots including Baxter. We hence propose and utilize the S-shaped trajectory (here tanhð:Þ), based on our previous efforts for operational optimization of smart valves network [45][46][47][48], which is highly compatible with the actual motion of Baxter's joints. From another aspect, using conventional trajectories, including Spline and B ezier in addition to polynomials generating S-shaped ones, expectedly imposes more variables to be optimized with respect to the joint-space optimization; we inevitably need high-order polynomials to generate such a smooth S-shaped trajectory.…”