IJE TRANSACTIONS B: Applications Vol. 31, No. 11 (November 2018) 1856-1862    Article in Press

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R. Asghari
( Received: June 02, 2018 – Accepted: August 17, 2018 )

Abstract    the delay caused by the communication network in transmitting the signals of the wide-area measurement system makes it difficult to power oscillation damping control system. One of the important issues is the lack of delimited additional controllers, which limit the function of device modification, such as SVC. This paper is proposed as a controlling solution based on the positive effect of delay on stability. This controller applies its output to a SVC input with some delay. To determine the delay and controller parameters in the design stage, an algorithm is proposed with the realistic minimization of the rightmost eigenvalue. The stability analysis of the control system has been performed with an eigenvalue tool. A four-machine power system has been used to perform various simulations to assess the accuracy of the proposed control function and the feasibility study. The simulation results show that the controller designed in a wide range of system delays does not limit the measurement of the wide area of the SVC imaging function.


Keywords    range stability, delay differential-algebraic equations, large-scale power systems, spectral abscissa


References    [1]     H. Wu et al., “The impact of time delay on robust control design in power systems,” in Proc. IEEE PES Winter Meeting, 2002, vol. 2, pp. 27–31. [2]     V. Venkatasubramanian, H. Schattler, and J. Zaborszky, “A Time-delay Differential-algebraic Phasor Formulation of the Large Power System Dynamics,” in IEEE International Symposium on Circuits and Systems (ISCAS), vol. 6, London, England, pp. 49–52, May 1994 [3]     S. Rabiee, H. Ayoubzadeh, D. Farrokhzad, and F. Aminifar, \\\"Practical aspects of phasor measurement unit (PMU) installation in power grids,\\\" in Smart Grid Conference (SGC), 2013, 2013, pp. 20-25. [4]     A. E. Leon and J. A. Solsona, \\\"Power Oscillation Damping Improvement by Adding Multiple Wind Farms to Wide-Area Coordinating Controls,\\\" Power Systems, IEEE Transactions on, vol. 29, pp. 1356-1364, 2014. [5]     M. Mokhtari, F. Aminifar, D. Nazarpour, and S. Golshannavaz, “Wide area Power Oscillation Damping with a Fuzzy Controller Compensating the Continuous Communication Delays,” IEEE Transactions on Power Systems, vol. 28, no. 2, pp. 1997–2005, May 2013. [6]     R. Preece, J. V. Milanovic, A. M. Almutairi, and O. Marjanovic, \\\"Damping of inter-area oscillations in mixed AC/DC networks using WAMS based supplementary controller,\\\" Power Systems, IEEE Transactions on, vol. 28, pp. 1160-1169, 2013. [7]     G. Cai, D. Yang, and C. Liu, \\\"Adaptive Wide-Area Damping Control Scheme for Smart Grids with Consideration of Signal Time Delay,\\\" Energies, vol. 6, pp. 4841-4858, 2013. [8]     R. Hadidi and B. Jeyasurya, “Reinforcement learning based real-time wide-area stabilizing control agents to enhance power system stability,” IEEE Trans. Smart Grid, vol. 4, no. 1, pp. 489–497, 2013. [9]     J. W. Stahlhut, J. Browne, G. T. Heydt and V. Vittal, “Latency viewed as a stochastic process,” IEEE Trans. Power Systems, vol. 23, no. 1, pp. 84–91, May. 2008. [10]  N. Chaudhuri, S. Ray, R. Majumder, and B. Chaudhuri, “A new approach to continuous latency compensation with adaptive phasor power oscillation damping controller (pod),” IEEE Trans. Power Syst., vol. 25, no. 2, pp. 939–946, May 2010. [11]  F. Milano, “Small-Signal Stability Analysis of Large Power Systems With Inclusion of Multiple Delays,” IEEE Trans. Power Syst., vol. 31, no. 1, pp. 3257-3266, July. 2016. [12]  V. Bokharaie, R. Sipahi, and F. Milano, “Small-Signal Stability Analysis of Delayed Power System Stabilizers,” in Procs. Of the PSCC 2014, Wrocław, Poland, Aug. 2014. [13]  W. Yao, L. Jiang, J. Wen, Q. Wu, and S. Cheng, “Wide-area damping controller for power system inter area oscillations: A networked predictive control approach,” IEEE Trans. Control Syst. Technol., vol. 23, no. 1, pp. 27–36, Jan. 2015. [14]  W. Yao, L. Jiang, J. Wen, Q. H. Wu, and S. Cheng, “Wide-Area Damping Controller of FACTS Devices for Inter-Area Oscillations Considering Communication Time Delays,” IEEE Transactions on Power Systems, vol. 29, no. 1, pp. 318–329, Jan. 2014. [15]  J. Li, Z. Chen, D. Cai, W. Zhen and Q. Huang, ”Delay-Dependent Stability Control for Power System With Multiple Time-Delays,” IEEE Trans. Power Syst., vol. 31, no. 3, pp. 2316–2326, May. 2016. [16]  B. Yang, and Y. Sun, “IEEE A Novel Approach to Calculate Damping Factor Based Delay Margin for Wide Area Damping Control,”  IEEE Trans. Power Syst., vol. 29, no. 6, pp. 3116–3117, Nov. 2014. [17]  B. Yang, and Y. Sun, “A new wide area damping controller design method considering signal transmission delay to damp inter area oscillations in power system,” Journal of Central South University., vol. 21, Issue 11, pp. 4193–4198, Nov 2014. [18]  R. Sipahi, S. I. Niculescu, C.T. Abdallah, W. Michiels and K. Gu, “Stability and stabilization of systems with time-delay limitations and opportunities”, IEEE Control Syst. Mag, vol. 31 no. 1 , pp. 38–65, 2011. [19]  T. Vyhlidal and M. Hromick, “Parameterization of input shapers with delays of various distribution,” Automatica val. 59, pp. 256–263, 2015. [20]  T. Vyhlidal, N.Olgac, and V. Kucere, “Delayed resonator with acceleration feedback Complete stability analysis by spectral methods and vibration absorber design,” Journal of Sound and Vibration Val. 333, pp. 6781–6795, 2014. [21]  E.W. Kamen, P.P. Khargonekar, A. Tannenbaum, Stabilization of time-delay systems using finite dimensional compensators. IEEE Trans. Autom. Control 30(1), 75–78 (1985) [22]  W. Yao, L. Jiang, Q. H. Wu, J. Y. Wen, and S. J. Cheng, “Delay-Dependent Stability Analysis of the Power System with a Wide-Area Damping Controller Embedded,” IEEE Transactions on Power Systems, vol. 26, no. 1, pp. 233–240, Feb. 2011. [23]  B. Yang and Y. Sun, “Damping Factor Based Delay Margin for Wide Area Signals in Power System Damping Control,” IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 3501–3502, Aug. 2013. [24]  V. Bokharaie, R. Sipahi, F. Milano, Small-signal Stability Analysis of Delayed Power System Stabilizers, PSCC 2014 Conference, Poland, August 2014. [25]  L. Cheng, G. Chen, W. Gao,  F. Zhang  and G. Li, “Adaptive Time Delay Compensator (ATDC) Design for Wide-Area Power System Stabilizer,” IEEE Transactions on Smart Grid, vol. 5, no. 6, pp. 2957–2966, Nov. 2014. [26]  L. P. Kunjumuhammed, R. Singh and B. C. Pal, \\\"Robust signal selection for damping of inter-area oscillations,\\\" IET Generation, Transmission & Distribution, vol. 6, pp. 404, 2012. [27]  M. van de Wal, B. de Jager, A review of methods for input/output selection, Automatica vol. 37 pp. 487-510, 2001 [28]  J.K. Hale, S.M. Verduyn Lunel, Introduction to Functional Differential Equations (Springer, New York, 1991) [29]  F. Zhang, Schur Complement and Its Applications (Springer, New York, 2005). [30]  W. Michiels and Niculescu Silviu-lulian, Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach, Philadelphia: SIAM, 2007. [31]  W. Michiels. TDS-STABIL: A MATLAB tool for designing stabilizing fixed-order controllers for time-delay systems. Available from http://twr.cs.kuleuven.be/research/software/delay-control/stab/, 2010. [32]  W. Michiels “Spectrum based stability analysis and stabilization of systems described by delay differential algebraic equations,” IET Control Theory and Applications, vol. 16, no. 5, pp. 1829-1842, 2011. [33]  P. Kundur, N. Balu, and M. Lauby, Power System Stability and Control, New York, NY, USA: McGraw-Hill Education, 1994. [34]  G. Rogers, Chow, Power System Toolbox Version 3.0: Dynamic Tutorial and Functions, Cherry Tree Scientific Software, RR-5 Colborne, Ontario K0K 1S0. [35]   Laub, A.J., M.T. Heath, C.C. Paige, and R.C. Ward,” Computation of System Balancing Transformations and Other Applications of Simultaneous Diagonalization Algorithms,” IEEE Trans. Automatic Control, vol. 32, pp. 115-122, 1987. [36]  D. Breda, S. Maset and R. Vermiglio, Stability of linear delay differential equations - A numerical approach with MATLAB, New York, Springer, 2015.

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