IJE TRANSACTIONS B: Applications Vol. 31, No. 11 (November 2018) 1852-1861    Article in Press

PDF URL: http://www.ije.ir/Vol31/No11/B/8-2940.pdf  
downloaded Downloaded: 18   viewed Viewed: 222

R. Asghari, S. B. Mozafari and T. Amraee
( Received: June 02, 2018 – Accepted in Revised Form: August 17, 2018 )

Abstract    Unlike the existing views that was introduced the existence of delay caused by the transmission of wide area measurement system data (WAMS) into the controllers input of the power oscilation damping (POD) by communication networks as a reason for poor performance of the POD controllers. This paper shows that the presence of time delay in the feedback loop may improve the performance of a POD controller in reducing inter-area oscilations. In fact, in a situation where the design and implementation of a POD controller for an FACT device is not easy without delays, in order to compensate for the delay effectively. In this work, a delayed scheduling method to design POD controllers is proposed. At first modeling of power system with delay as a design parameter was established. Then, the power oscillation damping delay scheduling (PODDS) based on objective function of the spectral abscissa was designed and the sufficient condition about stability of the closed-loop system is given. To evaluate the accuracy of the proposed control function and feasibility study, a four-machine power system for numerical simulation was used. The simulation results show that the controller designed in a wide range of delay changes decreases the power system oscilations without restricting SVC performance.


Keywords    Delay Scheduling; Inter Area Oscilations; Maximum Convergence Rate; Time Delay System



بر خلاف دیدگاه‌های موجود که تأخیر ناشی از انتقال داده‌های سیستم اندازه‌گیری ابعاد وسیع (WAMS) را به ورودی کنترل‌کننده‌های میرایی نوسان توان (POD) توسط شبکه‌های ارتباطی به عنوان دلیلی برای عملکرد ضعیف کنترل‌کننده‌های PODمعرفی کرده‌اند، این مقاله نشان می‌دهد که حضور تاخیر زمانی در حلقه بازخورد می‌تواند عملکرد یک کنترل‌کننده POD را در کاهش نوسانات بین ناحیه‌ای بهبود دهد. در حقیقت، در شرایطی که طراحی و پیاده‌سازی یک کنترل‌کننده POD برای دستگاه FACT بدون تاخیر آسان نیست، به منظور جبران‌سازی تاخیر به طور موثر، این مقاله یک روش برنامه‌ریزی تاخیری را برای طراحی کنترل‌کننده‌های POD پیشنهاد داده است. ابتدا مدلسازی سیستم قدرت با تاخیر به عنوان پارامتر طراحی صورت گرفته است. سپس، برنام‌ریزی تاخیری برای طراحی میراساز نوسان توان (PODDS) بر اساس تابع هدف ابعاد طیفی و شرایط کافی در مورد پایداری سیستم حلقه بسته ارائه شده است. امکان‌سنجی کنترل‌کننده پیشنهادی با شبیه‌سازی‌های عددی بر روی سیستم قدرت چهار ماشینه تایید شده است. نتایج شبیه‌سازی نشان می‌دهد که کنترل‌کننده طراحی‌شده نوسانات سیستم قدرت را در طیف گسترده‌ای از تغییرات تاخیر بدون محدود کردن عملکرد SVC میرا کند.


1. Wu, H., Ni, H. and Heydt, G.T., "The impact of time delay on robust control design in power systems", in Power Engineering Society Winter Meeting, 2002. IEEE. Vol. 2, (2002), 1511-1516.
2. Rabiee, S., Ayoubzadeh, H., Farrokhzad, D. and Aminifar, F., "Practical aspects of phasor measurement unit (pmu) installation in power grids", in Smart Grid Conference (SGC), 2013, IEEE., (2013), 20-25.
3. Leon, A.E. and Solsona, J.A., "Power oscillation damping improvement by adding multiple wind farms to wide-area coordinating controls", IEEE Transactions on Power Systems,  Vol. 29, No. 3, (2014), 1356-1364.
4. Mokhtari, M., Aminifar, F., Nazarpour, D. and Golshannavaz, S., "Wide-area power oscillation damping with a fuzzy controller compensating the continuous communication delays", IEEE Transactions on Power Systems,  Vol. 28, No. 2, (2013), 1997-2005.
5. Preece, R., Milanovic, J.V., Almutairi, A.M. and Marjanovic, O., "Damping of inter-area oscillations in mixed ac/dc networks using wams based supplementary controller", IEEE Trans. Power Syst,  Vol. 28, No. 2, (2013), 1160-1169.
6. Cai, G., Yang, D. and Liu, C., "Adaptive wide-area damping control scheme for smart grids with consideration of signal time delay", Energies,  Vol. 6, No. 9, (2013), 4841-4858.
7. Hadidi, R. and Jeyasurya, B., "Reinforcement learning based real-time wide-area stabilizing control agents to enhance power system stability", IEEE Transactions on Smart Grid,  Vol. 4, No. 1, (2013), 489-497.
8. Stahlhut, J.W., Browne, T.J., Heydt, G.T. and Vittal, V., "Latency viewed as a stochastic process and its impact on wide area power system control signals", IEEE Transactions on Power Systems,  Vol. 23, No. 1, (2008), 84-91.
9. Chaudhuri, N.R., Ray, S., Majumder, R. and Chaudhuri, B., "A new approach to continuous latency compensation with adaptive phasor power oscillation damping controller (POD)", IEEE Transactions on Power Systems,  Vol. 25, No. 2, (2010), 939-946.
10. Milano, F., "Small-signal stability analysis of large power systems with inclusion of multiple delays", IEEE Transactions on Power Systems,  Vol. 31, No. 4, (2016), 3257-3266.
11. Bokharaie, V., Sipahi, R. and Milano, F., "Small-signal stability analysis of delayed power system stabilizers", in Power Systems Computation Conference (PSCC), 2014, IEEE., (2014), 1-7.
12. Yao, W., Jiang, L., Wen, J., Wu, Q. and Cheng, S., "Wide-area damping controller for power system interarea oscillations: A networked predictive control approach", IEEE Transactions on Control Systems Technology,  Vol. 23, No. 1, (2015), 27-36.
13. Yao, W., Jiang, L., Wen, J., Wu, Q. and Cheng, S., "Wide-area damping controller of facts devices for inter-area oscillations considering communication time delays", IEEE Transactions on Power Systems,  Vol. 29, No. 1, (2014), 318-329.
14. Li, J., Chen, Z., Cai, D., Zhen, W. and Huang, Q., "Delay-dependent stability control for power system with multiple time-delays", IEEE Transactions on Power Systems,  Vol. 31, No. 3, (2016), 2316-2326.

15. Yang, B. and Sun, Y., "A novel approach to calculate damping factor based delay margin for wide area damping control", IEEE Transactions on Power Systems,  Vol. 29, No. 6, (2014), 3116-3117.
16. Yang, B. and Sun, Y.-z., "A new wide area damping controller design method considering signal transmission delay to damp interarea oscillations in power system", Journal of Central South University,  Vol. 21, No. 11, (2014), 4193-4198.
17. Sipahi, R., Niculescu, S.-I., Abdallah, C.T., Michiels, W. and Gu, K., "Stability and stabilization of systems with time delay", IEEE Control Systems,  Vol. 31, No. 1, (2011), 38-65.
18. Vyhlídal, T. and Hromčík, M., "Parameterization of input shapers with delays of various distribution", Automatica,  Vol. 59, (2015), 256-263.
19. Vyhlídal, T., Olgac, N. and Kučera, V., "Delayed resonator with acceleration feedback–complete stability analysis by spectral methods and vibration absorber design", Journal of Sound and Vibration,  Vol. 333, No. 25, (2014), 6781-6795.
20. Kamen, E., Khargonekar, P. and Tannenbaum, A., "Stabilization of time-delay systems using finite-dimensional compensators", IEEE Transactions on Automatic Control,  Vol. 30, No. 1, (1985), 75-78.
21. Yao, W., Jiang, L., Wu, Q., Wen, J. and Cheng, S., "Delay-dependent stability analysis of the power system with a wide-area damping controller embedded", IEEE Transactions on Power Systems,  Vol. 26, No. 1, (2011), 233-240.
22. Yang, B. and Sun, Y., "Damping factor based delay margin for wide area signals in power system damping control", IEEE Transactions on Power Systems,  Vol. 28, No. 3, (2013), 3501-3502.
23. Cheng, L., Chen, G., Gao, W., Zhang, F. and Li, G., "Adaptive time delay compensator (atdc) design for wide-area power system stabilizer", IEEE Transactions on Smart Grid,  Vol. 5, No. 6, (2014), 2957-2966.
24. Kunjumuhammed, L., Singh, R. and Pal, B., "Robust signal selection for damping of inter-area oscillations", IET Generation, Transmission & Distribution,  Vol. 6, No. 5, (2012), 404-416.
25. Van De Wal, M. and De Jager, B., "A review of methods for input/output selection", Automatica,  Vol. 37, No. 4, (2001), 487-510.
26. Hale, J.K. and Lunel, S.M.V., "Introduction to functional differential equations, Springer Science & Business Media,  Vol. 99,  (2013).
27. Cheung, K., Chow, J. and Rogers, G., "Power system toolbox, v 3.0", Rensselaer Polytechnic Institute and Cherry Tree Scientific Software,  (2009).
28. Laub, A., Heath, M., Paige, C. and Ward, R., "Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms", IEEE Transactions on Automatic Control,  Vol. 32, No. 2, (1987), 115-122.

Download PDF 

International Journal of Engineering
E-mail: office@ije.ir
Web Site: http://www.ije.ir