طراحی رؤیتگر غیر متمرکز برای اندازه‌گیری جریان سیال چندفازی بر اساس تئوری مقدار میانگین دیفرانسیل (DMVT)
محورهای موضوعی : مهندسی برق و کامپیوتر
ابوالفضل وروانی فراهانی
1
(دانشگاه شهید بهشتی)
محسن منتظری
2
(دانشگاه شهید بهشتی)
کلید واژه: سيستم اندازه‌گيري غیر متمرکزجريان چندفازينفت و گازابزار دقيق مجازيرؤيتگر غير خطي,
چکیده مقاله :
در اين مقاله يك رؤيتگر جديد براي اندازه‌گيري جريان چندفازي نفت و گاز ارائه شده كه نوآوري اصلي آن استفاده از تئوری دیفرانسیل میانگین مقدار (DMVT) در اندازه‌گيري جريان چندفازي ورودي پالايشگاه گازي مي‌باشد و شرايط كافي همگرايي با تبديل به نامعادله ماتریسی خطی (LMI) اثبات گرديده است. جريان چندفازي ورودي به پالايشگاه توسط يك سيستم غير خطي غير متمركز ليپشيتز كه متشكل از زيرسيستم‌هاي به هم مرتبط مي‌باشد، مدل گرديده و دبی مایع و گاز دوفازی با لحاظ ارتباط بين دو زيرسيستم در هر خط به صورت جداگانه تخمین زده می‌شود. این تخمین با شبيه‌سازي انجام‌شده در نرم‌افزار HYSYS با استفاده از داده‌های اندازه‌گیری در دسترس واقعي در يك پالايشگاه گازي موجود در پارس جنوبي مقایسه شده و مشاهده می‌گردد که نتایج حاصل بر ارقام عملياتي موجود منطبق می‌باشد. مطابق با استاندارد MPMS-API دقت اندازه‌گيري براي مبناي مبادلات مي‌بايست بهتر از 15/0% باشد كه در روش جديد دقت اندازه‌گيري 1/0% است كه همين امر نشان‌دهنده کارایی روش ارائه‌شده می‌باشد.
In this paper, a new decentralized observer scheme based on combination of two large scale interconnected subsystems is proposed. It discusses design problem of flow measurement by partial differential equation (PDE) observer for state estimation of a quasi linear system without external disturbance and without measurement noise. The measurement system is decomposed into two subsystems according to their locations, condensate and gas pipes, such that each subsystem has interconnection with other. By using matrix form Navier Stocks equations and Lyapunov technique, inequality at each subsystem, a Lyapunov-based design of PDE observer is developed such that the resulting estimation error system is exponentially stable and presented in terms of standard linear matrix inequalities (LMIs). The first mean value theory for integrals is used in the observer design development. The proposed method may be used as a backup for existing systems in the operation field or as a main system for new established plants.
[1] O. M. Aamo, G. O. Eikrem, H. B. Siahaan, and B. A. Foss, "Observer design for multiphase flow in vertical pipes with gas-lift-theory and experiments," J. of Process Control, vol. 15, no. 3, pp. 247-257, Apr. 2005.
[2] A. Nikoofard, T. A. Johansen, and G. O. Kaasa, "Reservoir characterization in under-balanced drilling using low-order lumped model," J. of Process Control, vol. 62, pp. 24-36, Feb. 2018.
[3] L. Fortuna, S. Graziani, A. Rizzo, and M. G. Xibilia, Soft Sensors for Monitoring and Control of Industrial Processes, Springer-Verlag, 2007.
[4] R. J. Lorentzen, G. Nævdal, and A. C. V. M. Lage, "Tuning of parameters in a two-phase flow model using an ensemble Kalman filter," International J. of Multiphase Flow, vol. 29, no. 8, pp. 1283-1309, Aug. 2003.
[5] M. Leskens, J. P. M. Smeulers, and A. Gryzlov, "Downhole multiphase metering in wells by means of soft sensors," in Proc. SPE Inteligent Energy Conf. and Exhibition, 11 pp., Amesterdam, The Netherland, 25-27 Feb. 2008.
[6] A. Gryzlov, M. Leskens, and R. F. Mudde, "A semi-implicit approach for fast parameter estimation by means of the extended Kalman filter," J. of Process Control, vol. 21, no. 4, pp. 510-518, Apr. 2011.
[7] B. O. S. Teixeira, W. S. Castro, A. F. Teixeira, and L. A. Aguirrea, "Data driven soft sensor of downhole pressure for a gas lift oil well," Control Engineer Practice, vol. 22, pp. 34-43, Jan. 2014.
[8] N. Wang, J. C. Sun, and M. J. Er, "Tracking error based universal adaptive fuzzy control for output tracking of nonlinear systems with completely unknown dynamics," IEEE Trans. on Fuzzy Syatems, vol. 26, no. 2, pp. 869-883, Apr. 2018.
[9] S. Tong, K. Sun, and S. Sui, "Observer-based adaptive fuzzy decentralized optimal control for strict feedback nonlinear large scale systems," IEEE Trans. on Fuzzy Syatems, vol. 26, no. 2, pp. 569-584, Apr. 2018.
[10] C. Hua, L. Zhang, and X. Guan, "Decentralized output feedback controller design for nonlinear interconnected systems with unknown control direction and time-varying delays," Int. J. of Adaptive Control and Signal Processing, vol. 28, no. 11, pp. 1160-1173, Nov. 2014.
[11] A. Zemouche, M. Boutayeb, and G. I. Bara, "Observers for a class of Lipschitz systems with extension to H∞ performance analysis," Syst. Control Letters, vol. 57, no. 1, pp. 18-27, Jan. 2008.
[12] U. J. F. Aarsnes, F. Di Meglio, S. Evje, and O. Morten Aamo, "Control-oriented drift-flux modeling of single and two-phase flow for drilling," in Proc. ASME Dynamic Systems and Control Conf., 11 pp., San Antonio, Texas, USA, 22-24 Oct. 2014.
[13] Z. Hidayat, R. Babuska, B. De Schutter, and A. Nunez, "Observers for linear distributed-parameter systems: a survey," in Proc. Int. Symp. on Robotic and Sensors Environments, ROSE'11, pp. 166-171, Montreal, QC, Canada, 17-18 Sept. 2011.
[14] A. I. Zecevic and D. D. Siljak, "Estimating the region of attraction for large-scale systems with uncertainties," Autmatica, vol. 46, no. 2, pp. 445-451, Feb. 2010.
[15] N. Braiek and A. Tlili, "Decentralized observer based guaranteed cost control for nonlinear interconnected systems," Int J. of Control Automation, vol. 2, no. 2, pp. 29-45, Jun. 2009.
[16] A. Zemouche, M. Boutayeb, and G. I. Bara, "Observer design for nonlinear systems: an approach based on the differential mean value theorem," in Proc. of the 44th IEEE Conf. on Decision and Control, pp. 6353-6358, Seville, Spain, 15-15 Dec. 2009.
[17] S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, Studies in Applied Mathematics (SIAM), Philadelphia, 1994.