نوع مقاله : مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسندگان

1 گروه مهندسی هوافضا، دانشکده فناوری های نوین، دانشگاه شهید بهشتی، تهران، ایران

2 گروه مهندسی هوافضا ،دانشکده فناوری های نوین،دانشگاه شهید بهشتی،تهران ،ایران

3 گروه عمران دانشکده فنی مهندسی دانشگاه زابل، زابل، ایران

چکیده

در مسائل طراحی واقعی و صنعتی متغیرها همیشه به صورت معین نمیباشند زیرا عدم قطعیتها در بسیاری از بخشهای مختلف طراحی خودنمایی میکنند که میتوانند منجر به شکست و یا ناکارآمدی طراحی گردند. با پیشرفت فنّاوری در دهه های گذشته، روش های مختلفی برای مقابله با اثرات عدم قطعیت ورودی در مسائل بهینه سازی طراحی، ارائه شده است. یکی از این روشها روش بهینهسازی بدترین حالت است. در پژوهش حاضر به طراحی یک سیستم کنترل عکس العملی هیدرازینی با سه نوع مختلف این روش، مبتنی بر حداکثر درست نمایی برای بیان عدم قطعیتها بدون هیچ فرض خاصی بر روی نوع توزیع و حتی عدم قطعیت در پارامترهای توزیع توسط مجموعه خانواده جانسون پرداخته شده است. همچنین یک فرمول بندی جداسازی شده برای متغیرها و پارامترهای طراحی پیشنهاد شده که سازگار با هر دو نوع عدم قطعیت شناختی و غیرشناختی با هر سه نوع داده تنک، چند بازهای و تک بازهای است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Maximum Likelihood-Based Worst-Case Optimization Design of Hydrazine Propulsion System for aSatellite Orbital Transfer System under Uncertainty

نویسندگان [English]

  • Alireza Toloei 1
  • Mohammad Fatehi 2
  • Behrooz Keshtegar 3

1 Department of Aerospace Engineering, Faculty of New Technologies, Shahid Beheshti University, Tehran, Iran

2 Department of Aerospace Engineering, Faculty of New Technologies, Shahid Beheshti University, Tehran, Iran

3 Department of Civil Engineering, Faculty of Engineering, Zabol University, Zabol, Iran

چکیده [English]

In this paper, a design of a hydrazine monopropellant system is proposed based on the maximum likelihood for the presentation of uncertainties, without any specific assumptions about the type of distribution and even uncertainty in distribution parameters by the johnson distributions family. The maximum likelihood method for the combination of spars point and interval data has been added to a separate formulation for design variables and parameters. This formulation is also suitable for both epistemic and aleatory uncertainty with three presentation types of spars points, single interval, and multi-interval.

کلیدواژه‌ها [English]

  • "Worst-Case optimization"
  • " mono propellant propulsion system"
  • " maximum likelihood"
  • "Uncertainty"
[1] W. Yao and et al. "Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles." Progress in Aerospace Sciences, Vol. 47, No. 6, pp. 450-479, 2011.
[2] S. Xiao, Y. Li,  M. Rotaru, J. Sykulski,  "Considerations of uncertainty in robust optimisation of electromagnetic devices." International Journal of Applied Electromagnetics and Mechanics, vol. 46, no. 2,  pp. 427-436, 2014.
[3] Ren, Ziyan, Minh-Trien Pham, and Chang Seop Koh. "Robust global optimization of electromagnetic devices with uncertain design parameters: comparison of the worst case optimization methods and multiobjective optimization approach using gradient index." IEEE Transactions on Magnetics, Vol. 49, no. 2,  pp. 851-859, 2013.
[4] G. Steiner, A. Weber and C. Magele. "Managing uncertainties in electromagnetic design problems with robust optimization." IEEE transactions on magnetics, vol. 40, no. 2, pp. 1094-1099, 2004.
[5] M. Fathi, "Robust Design Optimization of An Upperstage Launch Vehicle." 2015, (in persian).
 [6] W. L. Oberkampf,  J.C. Helton, C.A. Joslyn, S.F. Wojtkiewicz, S. Ferson, "Challenge Problems: uncertainty in system response given uncertain parameters," Reliability Engineering and System Safety, Vol. 85, pp. 11-19, 2004.
[7] S. Ferson, C.A. Joslyn, J.C. Helton, W.L. Oberkampf, Summary from the epistemic uncertainty workshop: consensus amid diversity." Reliability Engineering and System Safety, Vol. 85, No. 1-3, pp. 355- 369, 2004.
[8] N.L., Johnson, S. Kotz and N. Balakrishnan, Continuous Univariate Distributions, vol. 1, 1994 and vol. 2. John Wiley and Sons. INC. 1995.
[9] Snedecor, George W. and Cochran, William G., Statistical Methods, Iowa State University Press. 1989
[10] DeBrota, Swain, Roberts, Venkataraman, , Input modeling with the Johnson System of distributions, 1988.
[11] J. F. Monaco, D.S. Kidman, D. J. Malloy, D. G. Ward, J.F. Gist, "Automated Methods to Calibrate a High-Fidelity Thrust Deck to Aid Aeropropulsion Test and Evaluation." ASME Turbo Expo 2008: Power for Land, Sea, and Air. American Society of Mechanical Engineers, pp. 41-54, 2008.
[12] Jason, P. Modisette, "Maximum Likelihood Approach to State Estimation in Online Pipeline Models." 9th International Pipeline Conference American Society of Mechanical Engineers, 2012.
[13] Xiao, Jie, and Bohdan Kulakowski. "Hybrid genetic algorithm: A robust parameter estimation technique and its application to heavy duty vehicles." Journal of dynamic systems, measurement, and control, vol. 128, No. 3, pp. 523-531, 2006 .
[14] R.A. Fisher, On the probable error of a coefficient of correlation deduced from a small sample, Journal Metron, vol. 1, pp. 3-32, 1921.
[15] A. Haldar and Sh. Mahadevan, Probability Reliability and Statistical Methods in Engineering Design, John Willey & Sons. Inc., New York, 1999.
[16] P. Raj Dey, "Robust and reliability-based design optimization under epistemic uncertainty." Available, http://lib.buet.ac.bd:8080/xmlui/handle/123456789/1430, 2015.
[17] K. Zaman, M. McDonaldS. Mahadevan and  L. Green, "Robustness-based design optimization under data uncertainty." Structural and Multidisciplinary Optimization , Springer, vol. 44, no.2 pp. 183-197, 2011.
[18] S. Sankararaman, S. Mahadevan, (2011) Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data, Reliability Engineering and System Safety, vol. 96, pp. 814-824, 2011.
[19] K. Zaman and P. Raj Dey, "Likelihood-based representation of epistemic uncertainty and its application in robustness-based design optimization." Structural and Multidisciplinary Optimization, vol. 56, issue 4, pp. 767-780, 2017.
[20] M. Nosratollahi, A.R. Novinzadeh, M. Zakeri, V. Bemani and Y. Emadi Noori, "Integrated Design of Orbital Transfer Block in an Optimized and Multistep Converged Environment,"Journal of Space Science and Technology (JSST), vol. 7, no. 4, pp.23-27, 2015,
[21] M. Nosratollahi, A.R. Novinzadeh, M. Zakeri, V. Bemani and Y. EmadiNoori, "Integrated Design of Orbital Transfer Block in an Optimized and Multistep Converged Environment,"Journal of Space Science and Technology (JSST), vol. 7, no. 4, pp.23-27, 2015.
[22] Walter E. Hammond, Design methodologies for space transportation systems, AIAA, 2001.
[23] Dieter K. Huzel, D. H. Huang, Modern engineering for design of liquid-propellant rocket engines. vol. 147. AIAA, 1992.
[24] A. Hossein Adami, M. Mortazavi, and M.Nosratollahi. "Multidisciplinary Design Optimization of Hydrogen Peroxide Monopropellant Propulsion System using GA and SQP." International Journal of Computer Applications,  vol. 113, No. 9, pp. 14-21, 2015.
[25] M. Nosratollahi, M. Fatehi, A. Hossein Adami, "Multidisciplinary Design Optimization of Hydrazine Monopropellant Propulsion System for Attitude Control of an Upperstage by GA.3rd National and First International Conference in applied research on Electrical, Mechanical and Mechatronics Engineering, 2015.
[26] M. Tajmar, Advanced space propulsion systems, Springer; Softcover reprint of the original 1st ed. 2003 edition (September 8, 2012).
[27] David H. Huang and Dieter K. Huzel, Modern engineering for design of liquid-propellant rocket engines, Vol. 147. Institute of Aeronautics and Astronautics, Inc, 1992.
[28] M. Fatehi, M. Nosratollahi, A.Hossein Adami, and S.M. Hadi Taherzadeh. "Designing Space Cold Gas Propulsion System using Three Methods: Genetic Algorithms, Simulated Annealing and Particle Swarm," International Journal of Computer Applications,  vol. 118, no. 22, pp. 25-32, 2015.
[29] A. E. Makled, and H. Belal. "Modeling of Hydrazine Decomposition for Monopropellant Thrusters." 13th International Conference on Aerospace Sciences & Aviation Technology. 2009.
[30] D. Krejci, A. Woschnak, "Hydrogen peroxide decomposition for micro propulsion: simulation and experimentalverification."47thAIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. 2011.
[31] A. Hossein. Adami, et al. "Multidisciplinary Design Optimization and Analysis of Hydrazine Monopropellant Propulsion System." International Journal of Aerospace Engineering, vol. pp. 1-9, 2015.
[32] Editor(s): W. Ley, K. Wittmann, and W. Hallmann, eds. Handbook of space technology. Vol. 22. John Wiley & Sons, 2009.
[33] Kesten, Arthur S. "Analytical Study of catalytic reactors for hydrazine decomposition." NASA UARL G 910461 1968.
[34] A. Hossein Adami, Multidisciplinary design optimization of reentry vehicle considering guidance algorithm, Ph.D. thesis, Amirkabir University of Technology, Tehran, Iran, 2014.
[35] Aerojet Monopropellant Rocket engine Data Sheets.Available:https://www.rocket.com/space/space-power-propulsion/monopropellant-rocket-engines.
[36] Moog Monopropellant thrusters Data Sheets.2013. Available:https://www.moog.com/products/propulsion-controls/spacecraft/thrusters.html.
[37] Airbus Defence and Space Chemical Monopropellant Thruster Family Data Sheets.2013.Available:https:// www.space-propulsion.com/brochures/hydrazine-thrusters/hydrazine-thrusters.pdf,
[38] P. McRight, Ch . Popp, Ch. Pierce and A.Turpin,"Confidence testing of Shell-405 and S-405 catalysts in a monopropellant hydrazine thruster." 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 2005.
[39] M. J. Wilson,. "Demonstration testing of a long-life 5-lbf (22-n) mr-106l monopropellant hydrazine rocket engine assembly." 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 2005.
[40] G. P. Sutton and O. Biblares,Rocket propulsion elements. John Wiley & Sons, 2016.
[41] Travis S. Taylor, Introduction to rocket science and engineering. CRC Press, 2009.
[42] Fatehi, Mohammad, AlirezaToloei, and BehrozKeshtegar. "Optimal Design of Monopropellant Hydrogen Peroxide Propulsion Control System for a Satellite Orbital Transfer System under Uncertainty." Aerospace Knowledge and Technology Journal 9.2, 2020.