Authors:Zulfiqar Ali Shahani ,Muhammad Mujtaba Shaikh,Ashfaque Ahmed Hashmani,
Keywords:Eigenvalue,Steady-state,Power system,Nonlinear model,Synchronous machine,
AbstractElectrical power system without interruption is the need of every consumer. Therefore, supplying electrical power which must be efficient, reliable and secure from any disturbance is the priority of power supply companies. But, due to changes in weather conditions and continuous load variations, small disturbances arise which may lead to severe disturbance. All electrical generating stations are interconnected, so a failure in any one unit can affect other generating units, therefore analysis is compulsory to solve the problem in the least time, and avoid a further big loss. Analysis of steady-state stability or transient stability plays a key role in a power system which helps to understand the behavior of a dynamic system. The stability problem is concerned with the behavior of the generating station when the system puts on either small or large disturbance. In this work, the steady-state stability (SSS) analysis of the Jamshoro thermal power plant (JTPP) is analyzed by using the eigenvalue method and linearization technique at four different reheat gain values. We develop a nonlinear mathematical model of JTPP and discuss its linearized form, and examine the behavior of the system stability using eigenvalues. The eigenvalue method analyzes the behavior of synchronous machine when system load varies continually. Numerical values of eigenvalues consist of either real part or real as well as imaginary parts. These eigenvalues help to understand the stability of the system, as to whether the system is stable or not.
I. Amin, M., & Molinas, M. (2017). Small-signal stability assessment of power electronics based power systems: A discussion of impedance-and eigenvalue-based methods. IEEE Transactions on Industry Applications, 53(5), 5014-5030.
II. Azizipanah-Abarghooee, et al (2018, October). Small Signal Based Frequency Response Analysis for Power Systems. In 2018 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe) (pp. 1-6). IEEE.
III. Balu, Neal, et al. “On-line power system security analysis.” Proceedings of the IEEE 80.2 (1992): 262-282.
IV. Banakar, H., Luo, C., & Ooi, B. T. (2006). Steady-state stability analysis of doubly-fed induction generators under decoupled P–Q control. IEE Proceedings-Electric Power Applications, 153(2), 300-306.
V. Bhan, V., Hashmani, A. A., & Shaikh, M. M. (2019). A new computing perturb-and-observe-type algorithm for MPPT in solar photovoltaic systems and evaluation of its performance against other variants by experimental validation. Scientia Iranica, 26(Special Issue on machine learning, data analytics, and advanced optimization techniques in modern power systems [Transactions on Computer Science & Engineering and Electrical Engineering (D)]), 3656-3671.
VI. Biswas, M. M., et al (2011). Steady State Stability Analysis of Power System under Various Fault Conditions. Global Journal of Research in Engineering, 11(6-F).
VII. Choo, Y. C, et al. (2006). Assessment of small disturbance stability of a power system. In Australasian Universities Power Engineering Conference (AUPEC) (pp. 1-
VIII. Himaja K., et al. (2012). Steady State Stability Analysis of a single machine power system by using MATLAB SOFTWARE. International Journal of Engineering Research & Technology (IJERT) ISSN: 2278-0181
IX. Khoso, A. H., Shaikh, M. M., & Hashmani, A. A. (2020). A New and Efficient Nonlinear Solver for Load Flow Problems. Engineering, Technology & Applied Science Research, 10(3), 5851-5856.
X. Liverpool, T. B. (2020). Steady-state distributions and nonsteady dynamics in nonequilibrium systems. Physical Review E, 101(4), 042107.
XI. Martins, N. (1986). Efficient eigenvalue and frequency response methods applied to power system small-signal stability studies. IEEE Transactions on Power Systems, 1(1), 217-224.
XII. M. A. Huda, Md. Harun-or-Roshid, A. Islam and Mst. Mumtahinah, : SENSITIVITY AND ACCUARACY OF EIGENVALUES RELATIVE TO THEIR PERTURBATION, J. Mech. Cont. & Math. Sci., Vol.-6, No.-1, July (2011) Pages 780-796
XIII. Muhammad Aamir Aman, Muhammad Zulqarnain Abbasi, Murad Ali, Akhtar Khan, : To Negate the influences of Un-deterministic Dispersed Generation on Interconnection to the Distributed System considering Power Losses of the system, J.Mech.Cont.& Math. Sci., Vol.-13, No.-3, July-August (2018) Pages 117-132
XIV. Pruski, P., and Paszek, S. (2011). Analysis of calculation accuracy of power system electromechanical eigenvalues based on instantaneous power disturbance waveforms.
XV. Shahani, Z. A., Hashmani, A. A., & Shaikh, M. M. (2020). Steady state stability analysis and improvement using eigenvalues and PSS. Engineering, Technology & Applied Science Research, 10(1), 5301-5306.
XVI. Sidhu, T. S., et al. “Protection issues during system restoration.” IEEE Transactions on Power Delivery 20.1 (2005): 47-56.
XVII. Singh, Bindeshwar. “Applications of FACTS controllers in power systems for enhance the power system stability: a state-of-the-art.” International Journal of Reviews in Computing 6 (2011)
XVIII. Slootweg, J. G., et al. “A study of the eigenvalue analysis capabilities of power system dynamics simulation software.” Proc. 14th Power Systems Computation Conference. 2002.
XIX. Song, Y., & Wang, B. (2013). Survey on reliability of power electronic systems. IEEE Transactions on Power Electronics, 28(1), 591-604