Research Papers: Design Automation

Design Optimization of Dynamically Coupled Actuated Butterfly Valves Subject to a Sudden Contraction

[+] Author and Article Information
Peiman Naseradinmousavi

Assistant Professor
Department of Mechanical Engineering,
San Diego State University,
San Diego, CA 92115
e-mail: pnaseradinmousavi@mail.sdsu.edu;

Miroslav Krstić

Daniel L. Alspach Endowed Chair in Dynamic
Systems and Control,
Department of Mechanical
and Aerospace Engineering,
University of California, San Diego,
San Diego, CA 92093
e-mail: krstic@ucsd.edu

C. Nataraj

Mr. & Mrs. Robert F. Moritz, Sr. Endowed Chair
Professor in Engineered Systems,
Department of Mechanical Engineering,
Villanova University,
Villanova, PA 19085
e-mail: nataraj@villanova.edu

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 28, 2015; final manuscript received December 1, 2015; published online February 19, 2016. Assoc. Editor: Ettore Pennestri.

J. Mech. Des 138(4), 041402 (Feb 19, 2016) (11 pages) Paper No: MD-15-1453; doi: 10.1115/1.4032215 History: Received June 28, 2015; Revised December 01, 2015

In this effort, we present novel nonlinear modeling of two solenoid actuated butterfly valves subject to a sudden contraction and then develop an optimal configuration in the presence of highly coupled nonlinear dynamics. The valves are used in the so-called smart systems employed in a wide range of applications including bioengineering, medicine, and engineering fields. Typically, thousands of the actuated valves operate together to regulate the amount of flow and also to avoid probable catastrophic disasters which have been observed in practice. We focus on minimizing the amount of energy used in the system as one of the most critical design criteria to yield an efficient operation. We optimize the actuation subsystems interacting with the highly nonlinear flow loads in order to minimize the amount of energy consumed. The contribution of this work is the inclusion of coupled nonlinearities of electromechanical valve systems to optimize the actuation units. Stochastic, heuristic, and gradient based algorithms are utilized in seeking the optimal design of two sets. The results indicate that substantial amount of energy can be saved by an intelligent design that helps select parameters carefully and also uses flow torques to augment the closing efforts.

Copyright © 2016 by ASME
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Fig. 1

(a) Two actuated butterfly valves subject to the sudden contraction and (b) a model of two valves in series without actuation

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Fig. 2

The experimental work carried out for a single set

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Fig. 3

The experimental and analytical total torques for the inlet velocity of v≈2.7(m/s) and valve diameter of Dv=2 (in.)

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Fig. 4

(a) Chaotic dynamics of the valves/actuators and (b) Lyapunov exponents indicating the chaotic dynamics of the system

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Fig. 5

The block diagram of the interconnected sets

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Fig. 6

The optimized C2i ; red and blue squares stand for the upstream and downstream sets, respectively: (a) GS, (b) GA, and (c) SA

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Fig. 7

The optimized gm: (a) GS, (b) GA, and (c) SA

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Fig. 8

The optimized N: (a) GS, (b) GA, and (c) SA

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Fig. 9

The optimized C1i : (a) GS, (b) GA, and (c) SA

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Fig. 10

The optimal and nominal magnetic forces

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Fig. 11

The optimal and nominal applied currents

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Fig. 12

The total torques acting on both the valves

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Fig. 13

The optimal and nominal valves' rotation angles

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Fig. 14

The optimized lumped amount of energy: (a) GS (Eopm = 22,603), and (b) GA (Eopm = 22,721), and (c) SA (Eopm = 22,557)




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