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.

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Hughes, R. , Balestrini, S. , Kelly, K. , Weston, N. , and Mavris, D. , 2006, “ Modeling of an Integrated Reconfigurable Intelligent System (IRIS) for Ship Design,” 2006 ASNE Ship and Ship Systems Technology (S3T) Symposium.
Lequesne, B. , Henry, R. , and Kamal, M. , 1998, “ Magnavalve: A New Solenoid Configuration Based on a Spring-Mass Oscillatory System for Engine Valve Actuation,” GM Research Report No. E3-89.
Naseradinmousavi, P. , and Nataraj, C. , 2011, “ Nonlinear Mathematical Modeling of Butterfly Valves Driven by Solenoid Actuators,” J. Appl. Math. Modell., 35(5), pp. 2324–2335. [CrossRef]
Naseradinmousavi, P. , and Nataraj, C. , 2012, “ Transient Chaos and Crisis Phenomena in Butterfly Valves Driven by Solenoid Actuators,” Commun. Nonlinear Sci. Numer. Simul., 17(11), pp. 4336–4345. [CrossRef]
Naseradinmousavi, P. , and Nataraj, C. , 2013, “ Optimal Design of Solenoid Actuators Driving Butterfly Valves,” ASME J. Mech. Des., 135(9), p. 094501. [CrossRef]
Naseradinmousavi, P. , 2015, “ A Novel Nonlinear Modeling and Dynamic Analysis of Solenoid Actuated Butterfly Valves Coupled in Series,” ASME J. Dyn. Syst., Meas., Control, 137(1), p. 014505. [CrossRef]
Belato, D. , Weber, H. I. , Balthazar, J. M. , and Mook, D. T. , 2001, “ Chaotic Vibrations of a Nonideal Electro-Mechanical System,” Int. J. Solids Struct., 38(10–13), pp. 1699–1706. [CrossRef]
Xie, W. C. , Lee, H. P. , and Lim, S. P. , 2003, “ Nonlinear Dynamic Analysis of MEMS Switches by Nonlinear Modal Analysis,” J. Nonlinear Dyn., 31(3), pp. 243–256. [CrossRef]
Boivin, N. , Pierre, C. , and Shaw, S. W. , 1995, “ Non-Linear Normal Modes, Invariance, and Modal Dynamics Approximations of Non-Linear Systems,” J. Nonlinear Dyn., 8(3), pp. 315–346.
Ge, Z. M. , and Lin, T. N. , 2003, “ Chaos, Chaos Control and Synchronization of Electro-Mechanical Gyrostat System,” J. Sound Vib., 259(3), pp. 585–603. [CrossRef]
Baek-Ju, S. , and Eun-Woong, L. , 2005, “ Optimal Design and Speed Increasing Method of Solenoid Actuator Using a Non-Magnetic Ring,” International Conference on Power Electronics and Drives Systems (PEDS), pp. 1140–1145.
Hameyer, K. , and Nienhaus, M. , 2002, “ Electromagnetic Actuator-Current Developments and Examples,” 8th International Conference on New Actuators, pp. 170–175.
Sung, B. J. , Lee, E. W. , and Kim, H. E. , 2002, “ Development of Design Program for On and Off Type Solenoid Actuator,” KIEE Summer Annual Conference, Vol. B, pp. 929–931.
Kajima, T. , 1995, “ Dynamic Model of the Plunger Type Solenoids at Deenergizing State,” IEEE Trans. Magn., 31(3), pp. 2315–2323. [CrossRef]
Scott, D. A. , Karr, C. L. , and Schinstock, D. E. , 1999, “ Genetic Algorithm Frequency-Domain Optimization of an Anti-Resonant Electromechanical Controller,” Eng. Appl. Artificial Intell., 12(2), pp. 201–211.
Mahdi, S. A. , 2014, “ Optimization of PID Controller Parameters Based on Genetic Algorithm for Non-Linear Electromechanical Actuator,” Int. J. Comput. Appl., 94(3), pp. 11–20.
Jimenez-Octavio, J. R. , Pil, E. , Lopez-Garcia, O. , and Carnicero, A. , 2006, “ Coupled Electromechanical Cost Optimization of High Speed Railway Overheads,” ASME Paper No. JRC2006-94023.
Nowak, L. , 2010, “ Optimization of the Electromechanical Systems on the Basis of Coupled Field-Circuit Approach,” Int. J. Comput. Math. Electr. Electron. Eng., 20(1), pp. 39–52. [CrossRef]
Marquardt, D. , 1963, “ An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” SIAM J. Appl. Math., 11(2), pp. 431–441. [CrossRef]
Messine, F. , Nogarede, B. , and Lagouanelle, J. L. , 1998, “ Optimal Design of Electromechanical Actuators: A New Method Based on Global Optimization,” IEEE Trans. Magn., 34(1), pp. 299–308. [CrossRef]
Kelley, C. T. , 1999, “ Iterative Methods for Optimization,” Frontiers in Applied Mathematics, Vol. 18, SIAM, Philadelphia, PA.
Sefkat, G. , 2009, “ The Design Optimization of the Electromechanical Actuator,” Struct. Multidiscip. Optim., 37(6), pp. 635–644. [CrossRef]
Abergel, J. , Allain, M. , Michaud, H. , Cueff, M. , Ricart, T. , Dieppedale, C. , Rhun, G. L. , Faralli, D. , Fanget, S. , and Defay, E. , 2012, “ Optimized Gradient-Free PZT Thin Films for Micro-Actuators,” 2012 IEEE International Ultrasonics Symposium (IUS), Dresden, Germany, Oct. 7–10, pp. 972–974.
Chakraborty, I. , Trawick, D. R. , Jackson, D. , and Mavris, D. , 2013, “ Electric Control Surface Actuator Design Optimization and Allocation for the More Electric Aircraft,” AIAA Paper No. 2013-4283.
Medhat, A. , and Youssef, M. , 2013, “ Optimized PID Tracking Controller for Piezoelectric Hysteretic Actuator Model,” World J. Modell. Simul., 9(3), pp. 223–234.
Naseradinmousavi, P. , 2012, “ Nonlinear Modeling, Dynamic Analysis, and Optimal Design and Operation of Electromechanical Valve Systems,” Ph.D. thesis, Villanova University, Villanova, PA.
Bennett, C. O. , and Myers, J. E. , 1962, Momentum, Heat, and Mass Transfer, McGraw-Hill, New York.
Massey, B. S. , and Ward-Smith, J. , 1998, Mechanics of Fluids, 7th ed., Taylor & Francis, London/New York.
American Water Works Association, 2012, Butterfly Valves: Torque, Head Loss, and Cavitation Analysis, 2nd ed., AWWA, Denver, CO.
Park, J. Y. , and Chung, M. K. , 2006, “ Study on Hydrodynamic Torque of a Butterfly Valve,” ASME J. Fluids Eng., 128(1), pp. 190–195. [CrossRef]
Leutwyler, Z. , and Dalton, C. , 2008, “ A CFD Study of the Flow Field, Resultant Force, and Aerodynamic Torque on a Symmetric Disk Butterfly Valve in a Compressible Fluid,” ASME J. Pressure Vessel Technol., 130(2), p. 021302. [CrossRef]
Naseradinmousavi, P. , and Nataraj, C. , 2011, “ A Chaotic Blue Sky Catastrophe of Butterfly Valves Driven by Solenoid Actuators,” ASME Paper No. IMECE2011/62608.
Kirkpatrick, S. , Gelatt, C. D. , and Vecchi, M. P. , 1983, “ Optimization by Simulated Annealing,” Science, 220(4598), pp. 671–680. [CrossRef] [PubMed]
Cerny, V. , 1985, “ Thermodynamical Approach to the Traveling Salesman Problem: An Efficient Simulation Algorithm,” J. Optim. Theory Appl., 45(1), January, 45(1), pp. 41–55. [CrossRef]
Holland, H. J. , 1975, Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, MI.


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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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