A novel stabilization approach for small signal disturbance of power system with time-varying delay

Abstract

Small signal instability may cause severe accidents for power system if it can not be dealt correctly and timely. How to maintain power system stable under small signal disturbance is a big challenge for power system operators and dispatchers. Time delay existing in signal transmission process makes the problem more complex. Conventional eigenvalue analysis method neglects time delay influence and can not precisely describe power system dynamic behaviors. In this work, a modified small signal stability model considering time varying delay influence was constructed and a new time delay controller was proposed to stabilize power system under disturbance. By Lyapunov-Krasovskii function, the control law in the form of nonlinear matrix inequality (NLMI) was derived. Considering synthesis method limitation for time delay controller at present, both parameter adjustment method by using linear matrix inequality (LMI) solver and iteration searching method by solving nonlinear minimization problem were suggested to design the controller. Simulation tests were carried out on synchronous-machine infinite-bus power system. Satisfactory test results verify the correctness of the proposed model and the feasibility of the stabilization approach.

Keywords

power system stability / small signal disturbance / time-varying delay / power system stabilizer

References

[1] RuedaJ L, ColomeD G, ErlichI. Assessment and enhancement of small signal stability considering uncertainties [J]. IEEE Transactions on Power Systems, 2009, 24(1): 198-207

[2] KundurPPower system stability and control [M], 1994New YorkMcGraw-Hill Inc.699-707

[3] KundurP, PaserbaJ, AjjarapuV, AnderssonG, BoseA, CanizaresC, HatziargyriouN, HillD, StankovicA, TaylorC, van CutsemT, VittalV. Definition and classification of power system stability [J]. IEEE Transactions on Power Systems, 2004, 19(3): 1387-1401

[4] PourbeikP, KundurP S, TaylorC W. The anatomy of a power grid blackout-root causes and dynamics of recent major blackouts [J]. IEEE Power Energy Magazine, 2006, 4(5): 22-29

[5] DuZ, LiuW, FangW. Calculation of rightmost eigenvalues in power systems using the Jacobi-Davidson method [J]. IEEE Transactions on Power Systems, 2006, 21(1): 234-239

[6] MaJ, DongZ Y, ZhangP. Comparison of BR and QR eigenvalue algorithms for power system small signal stability analysis [J]. IEEE Transactions on Power Systems, 2006, 21(4): 1848-1855

[7] RommesJ, MartinsN. Computing large-scale system eigenvalues most sensitive to parameter changes, with applications to power system small-signal stability [J]. IEEE Transactions Power Systems, 2008, 23(2): 434-442

[8] YangD, AjjarapuV. Critical eigenvalues tracing for power system analysis via continuation of invariant subspaces and projected Arnoldi method [J]. IEEE Transactions on Power Systems, 2007, 22(1): 324-332

[9] WuH X, TsakalisK S, HeydtG T. Evaluation of time delay effects to wide-area power system stabilizer design [J]. IEEE Transactions on Power Systems, 2004, 19(4): 1935-1941

[10] GuK, KharitonovV L. Stability of time-delay systems [M]. Berlin: Springer-Verlag, 200310-19

[11] NaduvathuparambilB, ValentiM C, FeliachiA. Communication delays in wide area measurement systems [C]. Proceedings of the 34th Southeastern Symposium on System Theory, 2002Piscataway, NJIEEE118-122

[12] TaoY, GongZ-h, LinY-p, ZhouS-wang. Congestion aware routing algorithm for delay-disruption tolerance networks [J]. Journal of Central South University of Technology, 2011, 18(1): 133-139

[13] CaiJ Y, ZhenyuH, HauerJ, MartinK. Current status and experience of WAMS implementation in North America [C]. Proceedings of IEEE/PES Transmission and Distribution Conference and Exhibition, 2005Piscataway, NJIEEE1-7

[14] StahlhutJ W, BrowneT J, HeydtG T, VittalV. Latency viewed as a stochastic process and its impact on wide area power system control signals [J]. IEEE Transactions on Power Systems, 2008, 23(1): 84-91

[15] ChaudhuriN R, ChaudhuriB, RayS, MajumderR. Wide-area phasor power oscillation damping controller: A new approach to handling time-varying signal latency [J]. IET Generation, Transmission and Distribution, 2010, 4(5): 620-630

[16] YuanY, SunY Z, LiG J. Evaluation of delayed input effects to PSS interarea damping control design[C]. Proceedings of IEEE Power Engineering Society General Meeting, 2007Piscataway, NJIEEE1-5

[17] OlgacN, SipahiR. An exact method for the stability analysis of time delayed linear time-invariant (LTI) systems [J]. IEEE Transactions on Automatic Control, 2002, 47(5): 793-797

[18] HeY, WuM, SheJ-H, LiuG-Ping. Parameter-dependent Lyapunov functional for stability of time-delay system with polytypic uncertainties [J]. IEEE Transactions on Automatic Control, 2004, 49(5): 828-832

[19] WuH X, HeydtG T. Design of delayed-input wide area power system stabilizer using gain scheduling method[C]. Proceedings of IEEE Power Engineering Society General Meeting, 2003Piscataway, NJIEEE1704-1709